diff --git a/Chapters/01-zig-weird.qmd b/Chapters/01-zig-weird.qmd index 53bcce39..d305f1a4 100644 --- a/Chapters/01-zig-weird.qmd +++ b/Chapters/01-zig-weird.qmd @@ -39,7 +39,7 @@ Zig as a modern and better version of C. In the author's personal interpretation, Zig is tightly connected with "less is more". Instead of trying to become a modern language by adding more and more features, many of the core improvements that Zig brings to the -table are actually about removing annoying and evil behaviours/features from C and C++. +table are actually about removing annoying behaviours/features from C and C++. In other words, Zig tries to be better by simplifying the language, and by having more consistent and robust behaviour. As a result, analyzing, writing and debugging applications become much easier and simpler in Zig, than it is in C or C++. @@ -1421,7 +1421,7 @@ details about it. Just as a quick recap: But, for now, this amount of knowledge is enough for us to continue with this book. Later, over the next chapters we will still talk more about other parts of -Zig's syntax that are also equally important as the other parts. Such as: +Zig's syntax that are also equally important. Such as: - How Object-Oriented programming can be done in Zig through *struct declarations* at @sec-structs-and-oop. @@ -1430,7 +1430,7 @@ Zig's syntax that are also equally important as the other parts. Such as: - Pointers and Optionals at @sec-pointer; - Error handling with `try` and `catch` at @sec-error-handling; - Unit tests at @sec-unittests; -- Vectors; +- Vectors at @sec-vectors-simd; - Build System at @sec-build-system; diff --git a/Chapters/15-vectors.qmd b/Chapters/15-vectors.qmd new file mode 100644 index 00000000..34174d34 --- /dev/null +++ b/Chapters/15-vectors.qmd @@ -0,0 +1,176 @@ +--- +engine: knitr +knitr: true +syntax-definition: "../Assets/zig.xml" +--- + + +```{r} +#| include: false +source("../zig_engine.R") +knitr::opts_chunk$set( + auto_main = FALSE, + build_type = "lib" +) +``` + + + + +# Introducing Vectors and SIMD {#sec-vectors-simd} + +In this chapter, I'm going to discuss vectors in Zig, which are +related to SIMD operations (i.e. they have no relationship with the `std::vector` class +from C++). + +## What is SIMD? + +SIMD (*Single Instruction/Multiple Data*) is a group of operations that are widely used +on video/audio editing programs, and also in graphics applications. SIMD is not a new technology, +but the massive use of SIMD on normal desktop computers is somewhat recent. In the old days, SIMD +was only used on "supercomputers models". + +Most modern CPU models (from AMD, Intel, etc.) these days (either in a desktop or in a +notebook model) have support for SIMD operations. So, if you have a very old CPU model installed in your +computer, then, is possible that you have no support for SIMD operations in your computer. + +Why people have started using SIMD on their software? The answer is performance. +But what SIMD precisely do to achieve better performance? Well, in essence, SIMD operations are a different +strategy to get parallel computing in your program, and therefore, make faster calculations. + +The basic idea behind SIMD is to have a single instruction that operates over multiple data +at the same time. When you perform a normal scalar operation, like for example, four add instructions, +each addition is performed separately, one after another. But with SIMD, these four add instructions +are translated into a single instruction, and, as consequence, the four additions are performed +in parallel, at the same time. + +Currently, the following group of operators are allowed to use on vector objects. All of +these operators are applied element-wise and in parallel by default. + +- Arithmetic (`+`, `-`, `/`, `*`, `@divFloor()`, `@sqrt()`, `@ceil()`, `@log()`, etc.). +- Bitwise operators (`>>`, `<<`, `&`, `|`, `~`, etc.). +- Comparison operators (`<`, `>`, `==`, etc.). + + +## Vectors {#sec-what-vectors} + +A SIMD operation is usually performed through a "SIMD intrinsic", which is just a fancy +name for a function that performs a SIMD operation. These SIMD intrinsics (or "SIMD functions") +always operate over a special type of object, which are called "vectors". So, +in order to use SIMD, you have to create a "vector object". + +A vector object is usually a fixed-sized block of 128 bits (16 bytes). +As consequence, most vectors that you find in the wild are essentially arrays that contains 2 values of 8 bytes each, +or, 4 values of 4 bytes each, or, 8 values of 2 bytes each, etc. +However, different CPU models may have different extensions (or, "implementations") of SIMD, +which may offer more types of vector objects that are bigger in size (256 bits or 512 bits) +to accomodate more data into a single vector object. + +You can create a new vector object in Zig by using the `@Vector()` built-in function. Inside this function, +you specify the vector length (number of elements in the vector), and the data type of the elements +of the vector. Only primitive data types are supported in these vector objects. +In the example below, I'm creating two vector objects (`v1` and `v2`) of 4 elements of type `u32` each. + +Also notice in the example below, that a third vector object (`v3`) is created from the +sum of the previous two vector objects (`v1` plus `v2`). Therefore, +math operations over vector objects take place element-wise by default, because +the same operation (in this case, addition) is transformed into a single instruction +that is replicated in parallel, across all elements of the vectors. + + +```{zig} +#| auto_main: true +#| build_type: "run" +const v1 = @Vector(4, u32){4, 12, 37, 9}; +const v2 = @Vector(4, u32){10, 22, 5, 12}; +const v3 = v1 + v2; +try stdout.print("{any}\n", .{v3}); +``` + +This is how SIMD introduces more performance in your program. Instead of using a for loop +to iterate through the elements of `v1` and `v2`, and adding them together, one element at a time, +we enjoy the benefits of SIMD, which performs all 4 additions in parallel, at the same time. + +Therefore, the `@Vector` structure in Zig is essentially, the Zig representation of SIMD vector objects. +But the elements on these vector objects will be operated in parallel, if, and only if your current CPU model +supports SIMD operations. If your CPU model does not support SIMD, then, the `@Vector` structure will +likely produce a similar performance from a "for loop solution". + + +### Transforming arrays into vectors + +There are different ways you can transform a normal array into a vector object. +You can either use implicit conversion (which is when you assign the array to +a vector object directly), or, use slices to create a vector object from a normal array. + +In the example below, we implicitly convert the array `a1` into a vector object (`v1`) +of length 4. All we had to do was to just explicitly annotate the data type of the vector object, +and then, assign the array object to this vector object. + +Also notice in the example below, that a second vector object (`v2`) is also created +by taking a slice of the array object (`a1`), and then, storing the pointer to this +slice (`.*`) into this vector object. + + +```{zig} +#| auto_main: true +#| build_type: "run" +const a1 = [4]u32{4, 12, 37, 9}; +const v1: @Vector(4, u32) = a1; +const v2: @Vector(2, u32) = a1[1..3].*; +_ = v1; _ = v2; +``` + + +Is worth emphasizing that only arrays and slices whose sizes +are compile-time known can be transformed into vectors. Vectors in general +are structures that work only with compile-time known sizes. Therefore, if +you have an array whose size is runtime known, then, you first need to +copy it into an array with a compile-time known size, before transforming it into a vector. + + + +### The `@splat()` function + +You can use the `@splat()` built-in function to create a vector object that is filled +with the same value across all of it's elements. This function was created to offer a quick +and easy way to directly convert a scalar value (a.k.a. a single value, like a single character, or a single integer, etc.) +into a vector object. + +Thus, we can use `@splat()` to convert a single value, like the integer `16` into a vector object +of length 1. But we can also use this function to convert the same integer `16` into a +vector object of length 10, that is filled with 10 `16` values. The example below demonstrates +this idea. + +```{zig} +#| auto_main: true +#| build_type: "run" +const v1: @Vector(10, u32) = @splat(16); +try stdout.print("{any}\n", .{v1}); +``` + + + +### Careful with vectors that are too big + +As I described at @sec-what-vectors, each vector object is usually a small block of 128, 256 or 512 bits. +This means that a vector object is usually small in size, and when you try to go in the opposite direction, +by creating a vector object in Zig that is very big in size (i.e. sizes that are close to $2^{20}$), +you usually end up with crashes and loud errors from the compiler. + +For example, if you try to compile the program below, you will likely face segmentation faults, or, LLVM errors during +the build process. Just be careful to not create vector objects that are too big in size. + +```{zig} +#| eval: false +const v1: @Vector(1000000, u32) = @splat(16); +_ = v1; +``` + +``` +Segmentation fault (core dumped) +``` + + + + diff --git a/ZigExamples/image_filter/src/test.zig b/ZigExamples/image_filter/src/test.zig index 9cdbbf09..d8a565a0 100644 --- a/ZigExamples/image_filter/src/test.zig +++ b/ZigExamples/image_filter/src/test.zig @@ -36,19 +36,27 @@ fn read_data_to_buffer(ctx: *png.spng_ctx, buffer: []u8) !void { fn apply_image_filter(buffer: []u8) !void { const len = buffer.len; - const red_factor: f16 = 0.2126; - const green_factor: f16 = 0.7152; - const blue_factor: f16 = 0.0722; - var index: u64 = 0; + var rv: @Vector(1080000, f16) = @splat(0.0); + var gv: @Vector(1080000, f16) = @splat(0.0); + var bv: @Vector(1080000, f16) = @splat(0.0); + + var index: usize = 0; + var vec_index: usize = 0; while (index < (len - 4)) : (index += 4) { - const rf: f16 = @floatFromInt(buffer[index]); - const gf: f16 = @floatFromInt(buffer[index + 1]); - const bf: f16 = @floatFromInt(buffer[index + 2]); - const y_linear: f16 = ((rf * red_factor) + (gf * green_factor) + (bf * blue_factor)); - buffer[index] = @intFromFloat(y_linear); - buffer[index + 1] = @intFromFloat(y_linear); - buffer[index + 2] = @intFromFloat(y_linear); + rv[vec_index] = @floatFromInt(buffer[index]); + gv[vec_index + 1] = @floatFromInt(buffer[index + 1]); + bv[vec_index + 2] = @floatFromInt(buffer[index + 2]); + vec_index += 3; } + + const rfactor: @Vector(1080000, f16) = @splat(0.2126); + const gfactor: @Vector(1080000, f16) = @splat(0.7152); + const bfactor: @Vector(1080000, f16) = @splat(0.0722); + rv = rv * rfactor; + gv = gv * gfactor; + bv = bv * bfactor; + const result = rv + gv + bv; + try stdout.print("{any}\n", .{result}); } fn save_png(image_header: *png.spng_ihdr, buffer: []u8) !void { @@ -82,12 +90,10 @@ pub fn main() !void { var gpa = std.heap.GeneralPurposeAllocator(.{}){}; const allocator = gpa.allocator(); - var image_header = try get_image_header(ctx); const output_size = try calc_output_size(ctx); var buffer = try allocator.alloc(u8, output_size); @memset(buffer[0..], 0); try read_data_to_buffer(ctx, buffer[0..]); try apply_image_filter(buffer[0..]); - try save_png(&image_header, buffer[0..]); } diff --git a/ZigExamples/vectors/build.zig b/ZigExamples/vectors/build.zig new file mode 100644 index 00000000..09a293be --- /dev/null +++ b/ZigExamples/vectors/build.zig @@ -0,0 +1,91 @@ +const std = @import("std"); + +// Although this function looks imperative, note that its job is to +// declaratively construct a build graph that will be executed by an external +// runner. +pub fn build(b: *std.Build) void { + // Standard target options allows the person running `zig build` to choose + // what target to build for. Here we do not override the defaults, which + // means any target is allowed, and the default is native. Other options + // for restricting supported target set are available. + const target = b.standardTargetOptions(.{}); + + // Standard optimization options allow the person running `zig build` to select + // between Debug, ReleaseSafe, ReleaseFast, and ReleaseSmall. Here we do not + // set a preferred release mode, allowing the user to decide how to optimize. + const optimize = b.standardOptimizeOption(.{}); + + const lib = b.addStaticLibrary(.{ + .name = "vectors", + // In this case the main source file is merely a path, however, in more + // complicated build scripts, this could be a generated file. + .root_source_file = b.path("src/root.zig"), + .target = target, + .optimize = optimize, + }); + + // This declares intent for the library to be installed into the standard + // location when the user invokes the "install" step (the default step when + // running `zig build`). + b.installArtifact(lib); + + const exe = b.addExecutable(.{ + .name = "vectors", + .root_source_file = b.path("src/main.zig"), + .target = target, + .optimize = optimize, + }); + + // This declares intent for the executable to be installed into the + // standard location when the user invokes the "install" step (the default + // step when running `zig build`). + b.installArtifact(exe); + + // This *creates* a Run step in the build graph, to be executed when another + // step is evaluated that depends on it. The next line below will establish + // such a dependency. + const run_cmd = b.addRunArtifact(exe); + + // By making the run step depend on the install step, it will be run from the + // installation directory rather than directly from within the cache directory. + // This is not necessary, however, if the application depends on other installed + // files, this ensures they will be present and in the expected location. + run_cmd.step.dependOn(b.getInstallStep()); + + // This allows the user to pass arguments to the application in the build + // command itself, like this: `zig build run -- arg1 arg2 etc` + if (b.args) |args| { + run_cmd.addArgs(args); + } + + // This creates a build step. It will be visible in the `zig build --help` menu, + // and can be selected like this: `zig build run` + // This will evaluate the `run` step rather than the default, which is "install". + const run_step = b.step("run", "Run the app"); + run_step.dependOn(&run_cmd.step); + + // Creates a step for unit testing. This only builds the test executable + // but does not run it. + const lib_unit_tests = b.addTest(.{ + .root_source_file = b.path("src/root.zig"), + .target = target, + .optimize = optimize, + }); + + const run_lib_unit_tests = b.addRunArtifact(lib_unit_tests); + + const exe_unit_tests = b.addTest(.{ + .root_source_file = b.path("src/main.zig"), + .target = target, + .optimize = optimize, + }); + + const run_exe_unit_tests = b.addRunArtifact(exe_unit_tests); + + // Similar to creating the run step earlier, this exposes a `test` step to + // the `zig build --help` menu, providing a way for the user to request + // running the unit tests. + const test_step = b.step("test", "Run unit tests"); + test_step.dependOn(&run_lib_unit_tests.step); + test_step.dependOn(&run_exe_unit_tests.step); +} diff --git a/ZigExamples/vectors/build.zig.zon b/ZigExamples/vectors/build.zig.zon new file mode 100644 index 00000000..1c6062e8 --- /dev/null +++ b/ZigExamples/vectors/build.zig.zon @@ -0,0 +1,72 @@ +.{ + // This is the default name used by packages depending on this one. For + // example, when a user runs `zig fetch --save `, this field is used + // as the key in the `dependencies` table. Although the user can choose a + // different name, most users will stick with this provided value. + // + // It is redundant to include "zig" in this name because it is already + // within the Zig package namespace. + .name = "vectors", + + // This is a [Semantic Version](https://semver.org/). + // In a future version of Zig it will be used for package deduplication. + .version = "0.0.0", + + // This field is optional. + // This is currently advisory only; Zig does not yet do anything + // with this value. + //.minimum_zig_version = "0.11.0", + + // This field is optional. + // Each dependency must either provide a `url` and `hash`, or a `path`. + // `zig build --fetch` can be used to fetch all dependencies of a package, recursively. + // Once all dependencies are fetched, `zig build` no longer requires + // internet connectivity. + .dependencies = .{ + // See `zig fetch --save ` for a command-line interface for adding dependencies. + //.example = .{ + // // When updating this field to a new URL, be sure to delete the corresponding + // // `hash`, otherwise you are communicating that you expect to find the old hash at + // // the new URL. + // .url = "https://example.com/foo.tar.gz", + // + // // This is computed from the file contents of the directory of files that is + // // obtained after fetching `url` and applying the inclusion rules given by + // // `paths`. + // // + // // This field is the source of truth; packages do not come from a `url`; they + // // come from a `hash`. `url` is just one of many possible mirrors for how to + // // obtain a package matching this `hash`. + // // + // // Uses the [multihash](https://multiformats.io/multihash/) format. + // .hash = "...", + // + // // When this is provided, the package is found in a directory relative to the + // // build root. In this case the package's hash is irrelevant and therefore not + // // computed. This field and `url` are mutually exclusive. + // .path = "foo", + // + // // When this is set to `true`, a package is declared to be lazily + // // fetched. This makes the dependency only get fetched if it is + // // actually used. + // .lazy = false, + //}, + }, + + // Specifies the set of files and directories that are included in this package. + // Only files and directories listed here are included in the `hash` that + // is computed for this package. Only files listed here will remain on disk + // when using the zig package manager. As a rule of thumb, one should list + // files required for compilation plus any license(s). + // Paths are relative to the build root. Use the empty string (`""`) to refer to + // the build root itself. + // A directory listed here means that all files within, recursively, are included. + .paths = .{ + "build.zig", + "build.zig.zon", + "src", + // For example... + //"LICENSE", + //"README.md", + }, +} diff --git a/ZigExamples/vectors/src/main.zig b/ZigExamples/vectors/src/main.zig new file mode 100644 index 00000000..525f6452 --- /dev/null +++ b/ZigExamples/vectors/src/main.zig @@ -0,0 +1,60 @@ +const std = @import("std"); +const stdout = std.io.getStdOut().writer(); + +pub fn main() !void { + var gpa = std.heap.GeneralPurposeAllocator(.{}){}; + const allocator = gpa.allocator(); + const Random = std.crypto.random; + const n: usize = 1000; + var A: [n][]u64 = undefined; + var B: [n][]u64 = undefined; + var C: [n][]u64 = undefined; + for (0..n) |i| { + A[i] = try allocator.alloc(u64, n); + B[i] = try allocator.alloc(u64, n); + C[i] = try allocator.alloc(u64, n); + for (0..n) |j| { + const random_num = Random.int(u8); + A[i][j] = random_num; + B[i][j] = random_num; + C[i][j] = 0; + } + } + + const nv: usize = 10; + var Aar: [nv]u64 = undefined; + var Bar: [nv]u64 = undefined; + for (0..n) |i| { + for (0..n) |j| { + var k: usize = 0; + while (k < n) : (k += nv) { + @memcpy(&Aar, A[i][k..(k + nv)]); + for (0..nv) |l| { + Bar[l] = B[k + l][j]; + } + const Av: @Vector(nv, u64) = Aar; + const Bv: @Vector(nv, u64) = Bar; + const result = Av * Bv; + C[i][j] += @reduce(.Add, result); + } + } + } + + for (0..n) |i| { + allocator.free(A[i]); + allocator.free(B[i]); + allocator.free(C[i]); + } +} + +fn print_matrix(matrix: [100][]u64, name: []const u8) !void { + try stdout.print("Matrix {s}\n\n", .{name}); + for (0..matrix.len) |i| { + const row = matrix[i]; + _ = try stdout.write("| "); + for (0..row.len) |j| { + try stdout.print("{d} | ", .{row[j]}); + } + _ = try stdout.write("\n-----------------------------------------------------------------------------------\n"); + } +} diff --git a/ZigExamples/vectors/src/main2.zig b/ZigExamples/vectors/src/main2.zig new file mode 100644 index 00000000..a02d596e --- /dev/null +++ b/ZigExamples/vectors/src/main2.zig @@ -0,0 +1,37 @@ +const std = @import("std"); +const stdout = std.io.getStdOut().writer(); + +pub fn main() !void { + var gpa = std.heap.GeneralPurposeAllocator(.{}){}; + const allocator = gpa.allocator(); + const Random = std.crypto.random; + const n: usize = 1000; + var A: [n][]u64 = undefined; + var B: [n][]u64 = undefined; + var C: [n][]u64 = undefined; + for (0..n) |i| { + A[i] = try allocator.alloc(u64, n); + B[i] = try allocator.alloc(u64, n); + C[i] = try allocator.alloc(u64, n); + for (0..n) |j| { + const random_num = Random.int(u8); + A[i][j] = random_num; + B[i][j] = random_num; + C[i][j] = 0; + } + } + + for (0..n) |i| { + for (0..n) |j| { + for (0..n) |k| { + C[i][j] += A[i][k] * B[k][j]; + } + } + } + + for (0..n) |i| { + allocator.free(A[i]); + allocator.free(B[i]); + allocator.free(C[i]); + } +} diff --git a/_freeze/Chapters/01-zig-weird/execute-results/html.json b/_freeze/Chapters/01-zig-weird/execute-results/html.json index 40f8e277..2428e8d0 100644 --- a/_freeze/Chapters/01-zig-weird/execute-results/html.json +++ b/_freeze/Chapters/01-zig-weird/execute-results/html.json @@ -1,9 +1,11 @@ { - "hash": "7e9d5badabfb817f6d6514f19efd0956", + "hash": "840c59bb8b105dabc8c5d91fdfc7d2ec", "result": { "engine": "knitr", - "markdown": "---\nengine: knitr\nknitr: true\nsyntax-definition: \"../Assets/zig.xml\"\n---\n\n\n\n\n\n\n\n\n\n\n# Introducing Zig\n\nIn this chapter, I want to introduce you to the world of Zig.\nZig is a very young language that is being actively developed.\nAs a consequence, it's world is still very wild and to be explored.\nThis book is my attempt to help you on your personal journey for\nunderstanding and exploring the exciting world of Zig.\n\nI assume you have previous experience with some programming\nlanguage in this book, not necessarily with a low-level one.\nSo, if you have experience with Python, or Javascript, for example, it will be fine.\nBut, if you do have experience with low-level languages, such as C, C++, or\nRust, you will probably learn faster throughout this book.\n\n## What is Zig?\n\nZig is a modern, low-level, and general-purpose programming language. Some programmers think of\nZig as a modern and better version of C.\n\nIn the author's personal interpretation, Zig is tightly connected with \"less is more\".\nInstead of trying to become a modern language by adding more and more features,\nmany of the core improvements that Zig brings to the\ntable are actually about removing annoying and evil behaviours/features from C and C++.\nIn other words, Zig tries to be better by simplifying the language, and by having more consistent and robust behaviour.\nAs a result, analyzing, writing and debugging applications become much easier and simpler in Zig, than it is in C or C++.\n\nThis philosophy becomes clear with the following phrase from the official website of Zig:\n\n> \"Focus on debugging your application rather than debugging your programming language knowledge\".\n\nThis phrase is specially true for C++ programmers. Because C++ is a gigantic language,\nwith tons of features, and also, there are lots of different \"flavors of C++\". These elements\nare what makes C++ so complex and hard to learn. Zig tries to go in the opposite direction.\nZig is a very simple language, more closely related to other simple languages such as C and Go.\n\nThe phrase above is still important for C programmers too. Because, even C being a simple\nlanguage, it is still hard sometimes to read and understand C code. For example, pre-processor macros in\nC are a frequent source of confusion. They really make it sometimes hard to debug\nC programs. Because macros are essentially a second language embedded in C that obscures\nyour C code. With macros, you are no longer 100% sure about which pieces\nof the code are being sent to the compiler, i.e.\nthey obscures the actual source code that you wrote.\n\nYou don't have macros in Zig. In Zig, the code you write, is the actual code that get's compiled by the compiler.\nYou also don't have a hidden control flow happening behind the scenes. And, you also\ndon't have functions or operators from the standard library that make\nhidden memory allocations behind your back.\n\nBy being a simpler language, Zig becomes much more clear and easier to read/write,\nbut at the same time, it also achieves a much more robust state, with more consistent\nbehaviour in edge situations. Once again, less is more.\n\n\n## Hello world in Zig\n\nWe begin our journey in Zig by creating a small \"Hello World\" program.\nTo start a new Zig project in your computer, you simply call the `init` command\nfrom the `zig` compiler.\nJust create a new directory in your computer, then, init a new Zig project\ninside this directory, like this:\n\n```bash\nmkdir hello_world\ncd hello_world\nzig init\n```\n\n```\ninfo: created build.zig\ninfo: created build.zig.zon\ninfo: created src/main.zig\ninfo: created src/root.zig\ninfo: see `zig build --help` for a menu of options\n```\n\n### Understanding the project files {#sec-project-files}\n\nAfter you run the `init` command from the `zig` compiler, some new files\nare created inside of your current directory. First, a \"source\" (`src`) directory\nis created, containing two files, `main.zig` and `root.zig`. Each `.zig` file\nis a separate Zig module, which is simply a text file that contains some Zig code.\n\nBy convention, the `main.zig` module is where your main function lives. Thus,\nif you are building an executable program in Zig, you need to declare a `main()` function,\nwhich represents the entrypoint of your program, i.e. it is where the execution of your program begins.\n\nHowever, if you are building a library (instead of an executable program), then,\nthe normal procedure is to delete this `main.zig` file and start with the `root.zig` module.\nBy convention, the `root.zig` module is the root source file of your library.\n\n```bash\ntree .\n```\n\n```\n.\n├── build.zig\n├── build.zig.zon\n└── src\n ├── main.zig\n └── root.zig\n\n1 directory, 4 files\n```\n\nThe `ìnit` command also creates two additional files in our working directory:\n`build.zig` and `build.zig.zon`. The first file (`build.zig`) represents a build script written in Zig.\nThis script is executed when you call the `build` command from the `zig` compiler.\nIn other words, this file contain Zig code that executes the necessary steps to build the entire project.\n\n\nLow-level languages normally use a compiler to build your\nsource code into binary executables or binary libraries.\nNevertheless, this process of compiling your source code and building\nbinary executables or binary libraries from it, became a real challenge\nin the programming world, once the projects became bigger and bigger.\nAs a result, programmers created \"build systems\", which are a second set of tools designed to make this process\nof compiling and building complex projects, easier.\n\nExamples of build systems are CMake, GNU Make, GNU Autoconf and Ninja,\nwhich are used to build complex C and C++ projects.\nWith these systems, you can write scripts, which are called \"build scripts\".\nThey simply are scripts that describes the necessary steps to compile/build\nyour project.\n\nHowever, these are separate tools, that do not\nbelong to C/C++ compilers, like `gcc` or `clang`.\nAs a result, in C/C++ projects, you have not only to install and\nmanage your C/C++ compilers, but you also have to install and manage\nthese build systems separately.\n\nIn Zig, we don't need to use a separate set of tools to build our projects,\nbecause a build system is embedded inside the language itself.\nTherefore, Zig contains a native build system in it, and\nwe can use this build system to write small scripts in Zig,\nwhich describes the necessary steps to build/compile our Zig project[^zig-build-system].\nSo, everything you need to build a complex Zig project is the\n`zig` compiler, and nothing more.\n\n[^zig-build-system]: .\n\n\nThe second generated file (`build.zig.zon`) is the Zig package manager configuration file,\nwhere you can list and manage the dependencies of your project. Yes, Zig has\na package manager (like `pip` in Python, `cargo` in Rust, or `npm` in Javascript) called Zon,\nand this `build.zig.zon` file is similar to the `package.json` file\nin Javascript projects, or, the `Pipfile` file in Python projects,\nor the `Cargo.toml` file in Rust projects.\n\n\n### The file `root.zig` {#sec-root-file}\n\nLet's take a look into the `root.zig` file.\nYou might have noticed that every line of code with an expression ends with a semicolon (`;`).\nThis follows the syntax of a C-family programming language[^c-family].\n\n[^c-family]: \n\nAlso, notice the `@import()` call at the first line. We use this built-in function\nto import functionality from other Zig modules into our current module.\nThis `@import()` function works similarly to the `#include` pre-processor\nin C or C++, or, to the `import` statement in Python or Javascript code.\nIn this example, we are importing the `std` module,\nwhich gives you access to the Zig Standard Library.\n\nIn this `root.zig` file, we can also see how assignments (i.e. creating new objects)\nare made in Zig. You can create a new object in Zig by using the following syntax\n`(const|var) name = value;`. In the example below, we are creating two constant\nobjects (`std` and `testing`). At @sec-assignments we talk more about objects in general.\n\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst std = @import(\"std\");\nconst testing = std.testing;\n\nexport fn add(a: i32, b: i32) i32 {\n return a + b;\n}\n```\n:::\n\n\n\n\n\nFunctions in Zig are declared using the `fn` keyword.\nIn this `root.zig` module, we are declaring a function called `add()`, which has two arguments named `a` and `b`.\nThe function returns an integer of the type `i32` as result.\n\n\nZig is not exactly a strongly-typed language. Because you can (if you want to) omit\nthe type of an object in your code, if this type can be derived from the assigned value.\nBut there are other situations where you do need to be explicit.\nFor example, you do have to explicitly specify the type of each function argument, and also,\nthe return type of every function you create in Zig. So, at least in function declarations,\nZig is a strongly-typed language.\n\nWe specify the type of an object or a function argument in Zig by\nusing a colon character (`:`) followed by the type after the name of this object/function argument.\nWith the expressions `a: i32` and `b: i32`, we know that both `a` and `b` arguments have type `i32`,\nwhich is a signed 32 bit integer. In this part,\nthe syntax in Zig is identical to the syntax in Rust, which also specifies types by\nusing the colon character.\n\nLastly, we have the return type of the function at the end of the line, before we open\nthe curly braces to start writing the function's body. In the example above, this type is also\na signed 32 bit integer (`i32`) value.\n\nNotice that we also have an `export` keyword before the function declaration. This keyword\nis similar to the `extern` keyword in C. It exposes the function\nto make it available in the library API. Therefore, if you are writing\na library for other people to use, you have to expose the functions\nyou write in the public API of this library by using this `export` keyword.\nIf we removed the `export` keyword from the `add()` function declaration,\nthen, this function would be no longer exposed in the library object built\nby the `zig` compiler.\n\n\n### The `main.zig` file {#sec-main-file}\n\nNow that we have learned a lot about Zig's syntax from the `root.zig` file,\nlet's take a look at the `main.zig` file.\nA lot of the elements we saw in `root.zig` are also present in `main.zig`.\nBut there are some other elements that we haven't seen yet, so let's dive in.\n\nFirst, look at the return type of the `main()` function in this file.\nWe can see a small change. The return\ntype of the function (`void`) is accompanied by an exclamation mark (`!`).\nThis exclamation mark tells us that this `main()` function\nmight return an error.\n\nIn this example, the `main()` function can either return `void` or return an error.\nThis is an interesting feature of Zig. If you write a function and something inside of\nthe body of this function might return an error then you are forced to:\n\n- either add the exclamation mark to the return type of the function and make it clear that\nthis function might return an error\n- explicitly handle this error inside the function\n\nIn most programming languages, we normally handle (or deal with) an error through\na *try catch* pattern. Zig do have both `try` and `catch` keywords. But they work\na little differently than what you're probably used to in other languages.\n\nIf we look at the `main()` function below, you can see that we do have a `try` keyword\non the 5th line. But we do not have a `catch` keyword in this code.\nIn Zig, we use the `try` keyword to execute an expression that might return an error,\nwhich, in this example, is the `stdout.print()` expression.\n\nIn essence, the `try` keyword executes the expression `stdout.print()`. If this expression\nreturns a valid value, then, the `try` keyword do nothing. It only passes the value forward.\nBut if the expression does return an error, then, the `try` keyword just unwrap the error value,\nand return this error from the function and also prints the current stack trace to `stderr`.\n\nThis might sound weird to you if you come from a high-level language. Because in\nhigh-level languages, such as Python, if an error occurs somewhere, this error is automatically\nreturned and the execution of your program will automatically stop even if you don't want\nto stop the execution. You are obligated to face the error.\n\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst std = @import(\"std\");\n\npub fn main() !void {\n const stdout = std.io.getStdOut().writer();\n try stdout.print(\"Hello, {s}!\\n\", .{\"world\"});\n}\n```\n:::\n\n\n\n\n\nAnother thing that you might have noticed in this code example, is that\nthe `main()` function is marked with the `pub` keyword.\nIt marks the `main()` function as a *public function* from this module.\n\nEvery function in your Zig module is by default private to this Zig module and can only be called from within the module.\nUnless, you explicitly mark this function as a public function with the `pub` keyword.\nThis means that the `pub` keyword in Zig do essentially the opposite of what the `static` keyword\ndo in C/C++.\n\nBy making a function \"public\" you allow other Zig modules to access and call it.\nA calling Zig module imports the module with the `@import()`\nbuilt-in. That makes all public functions from the imported module visible.\n\n\n### Compiling your source code {#sec-compile-code}\n\nYou can compile your Zig modules into a binary executable by running the `build-exe` command\nfrom the `zig` compiler. You simply list all the Zig modules that you want to build after\nthe `build-exe` command, separated by spaces. In the example below, we are compiling the module `main.zig`.\n\n```bash\nzig build-exe src/main.zig\n```\n\nSince we are building an executable, the `zig` compiler will look for a `main()` function\ndeclared in any of the files that you list after the `build-exe` command. If\nthe compiler does not find a `main()` function declared somewhere, a\ncompilation error will be raised, warning about this mistake.\n\nThe `zig` compiler also offers a `build-lib` and `build-obj` commands, which work\nthe exact same way as the `build-exe` command. The only difference is that, they compile your\nZig modules into a portale C ABI library, or, into object files, respectively.\n\nIn the case of the `build-exe` command, a binary executable file is created by the `zig`\ncompiler in the root directory of your project.\nIf we take a look now at the contents of our current directory, with a simple `ls` command, we can\nsee the binary file called `main` that was created by the compiler.\n\n```bash\nls\n```\n\n```\nbuild.zig build.zig.zon main src\n```\n\nIf I execute this binary executable, I get the \"Hello World\" message in the terminal\n, as we expected.\n\n```bash\n./main\n```\n\n```\nHello, world!\n```\n\n\n### Compile and execute at the same time {#sec-compile-run-code}\n\nOn the previous section, I presented the `zig build-exe` command, which\ncompiles Zig modules into an executable file. However, this means that,\nin order to execute the executable file, we have to run two different commands.\nFirst, the `zig build-exe` command, and then, we call the executable file\ncreated by the compiler.\n\nBut what if we wanted to perform these two steps,\nall at once, in a single command? We can do that by using the `zig run`\ncommand.\n\n```bash\nzig run src/main.zig\n```\n\n```\nHello, world!\n```\n\n### Compiling the entire project {#sec-compile-project}\n\nJust as I described at @sec-project-files, as our project grows in size and\ncomplexity, we usually prefer to organize the compilation and build process\nof the project into a build script, using some sort of \"build system\".\n\nIn other words, as our project grows in size and complexity,\nthe `build-exe`, `build-lib` and `build-obj` commands become\nharder to use directly. Because then, we start to list\nmultiple and multiple modules at the same time. We also\nstart to add built-in compilation flags to customize the\nbuild process for our needs, etc. It becomes a lot of work\nto write the necessary commands by hand.\n\nIn C/C++ projects, programmers normally opt to use CMake, Ninja, `Makefile` or `configure` scripts\nto organize this process. However, in Zig, we have a native build system in the language itself.\nSo, we can write build scripts in Zig to compile and build Zig projects. Then, all we\nneed to do, is to call the `zig build` command to build our project.\n\nSo, when you execute the `zig build` command, the `zig` compiler will search\nfor a Zig module named `build.zig` inside your current directory, which\nshould be your build script, containing the necessary code to compile and\nbuild your project. If the compiler do find this `build.zig` file in your directory,\nthen, the compiler will essentially execute a `zig run` command\nover this `build.zig` file, to compile and execute this build\nscript, which in turn, will compile and build your entire project.\n\n\n```bash\nzig build\n```\n\n\nAfter you execute this \"build project\" command, a `zig-out` directory\nis created in the root of your project directory, where you can find\nthe binary executables and libraries created from your Zig modules\naccordingly to the build commands that you specified at `build.zig`.\nWe will talk more about the build system in Zig latter in this book.\n\nIn the example below, I'm executing the binary executable\nnamed `hello_world` that was generated by the compiler after the\n`zig build` command.\n\n```bash\n./zig-out/bin/hello_world\n```\n\n```\nHello, world!\n```\n\n\n\n## How to learn Zig?\n\nWhat are the best strategies to learn Zig? \nFirst of all, of course this book will help you a lot on your journey through Zig.\nBut you will also need some extra resources if you want to be really good at Zig.\n\nAs a first tip, you can join a community with Zig programmers to get some help\n, when you need it:\n\n- Reddit forum: ;\n- Ziggit community: ;\n- Discord, Slack, Telegram, and others: ;\n\nNow, one of the best ways to learn Zig is to simply read Zig code. Try\nto read Zig code often, and things will become more clear.\nA C/C++ programmer would also probably give you this same tip.\nBecause this strategy really works!\n\nNow, where you can find Zig code to read?\nI personally think that, the best way of reading Zig code is to read the source code of the\nZig Standard Library. The Zig Standard Library is available at the [`lib/std` folder](https://github.com/ziglang/zig/tree/master/lib/std)[^zig-lib-std] on\nthe official GitHub repository of Zig. Access this folder, and start exploring the Zig modules.\n\nAlso, a great alternative is to read code from other large Zig\ncodebases, such as:\n\n1. the [Javascript runtime Bun](https://github.com/oven-sh/bun)[^bunjs].\n1. the [game engine Mach](https://github.com/hexops/mach)[^mach].\n1. a [LLama 2 LLM model implementation in Zig](https://github.com/cgbur/llama2.zig/tree/main)[^ll2].\n1. the [financial transactions database `tigerbeetle`](https://github.com/tigerbeetle/tigerbeetle)[^tiger].\n1. the [command-line arguments parser `zig-clap`](https://github.com/Hejsil/zig-clap)[^clap].\n1. the [UI framework `capy`](https://github.com/capy-ui/capy)[^capy].\n1. the [Language Protocol implementation for Zig, `zls`](https://github.com/zigtools/zls)[^zls].\n1. the [event-loop library `libxev`](https://github.com/mitchellh/libxev)[^xev].\n\n[^xev]: \n[^zls]: \n[^capy]: \n[^clap]: \n[^tiger]: \n[^ll2]: \n[^mach]: \n[^bunjs]: .\n\nAll these assets are available on GitHub,\nand this is great, because we can use the GitHub search bar in our advantage,\nto find Zig code that fits our description.\nFor example, you can always include `lang:Zig` in the GitHub search bar when you\nare searching for a particular pattern. This will limit the search to only Zig modules.\n\n[^zig-lib-std]: \n\nAlso, a great alternative is to consult online resources and documentations.\nHere is a quick list of resources that I personally use from time to time to learn\nmore about the language each day:\n\n- Zig Language Reference: ;\n- Zig Standard Library Reference: ;\n- Zig Guide: ;\n- Karl Seguin Blog: ;\n- Zig News: ;\n- Read the code written by one of the Zig core team members: ;\n- Some livecoding sessions are transmitted in the Zig Showtime Youtube Channel: ;\n\n\nAnother great strategy to learn Zig, or honestly, to learn any language you want,\nis to practice it by solving exercises. For example, there is a famous repository\nin the Zig community called [Ziglings](https://codeberg.org/ziglings/exercises/)[^ziglings]\n, which contains more than 100 small exercises that you can solve. It is a repository of\ntiny programs written in Zig that are currently broken, and your responsibility is to\nfix these programs, and make them work again.\n\n[^ziglings]: .\n\nA famous tech YouTuber known as *The Primeagen* also posted some videos (at YouTube)\nwhere he solves these exercises from Ziglings. The first video is named\n[\"Trying Zig Part 1\"](https://www.youtube.com/watch?v=OPuztQfM3Fg&t=2524s&ab_channel=TheVimeagen)[^prime1].\n\n[^prime1]: .\n\nAnother great alternative, is to solve the [Advent of Code exercises](https://adventofcode.com/)[^advent-code].\nThere are people that already took the time to learn and solve the exercises, and they posted\ntheir solutions on GitHub as well, so, in case you need some resource to compare while solving\nthe exercises, you can look at these two repositories:\n\n- ;\n- ;\n\n[^advent-code]: \n\n\n\n\n\n\n## Creating new objects in Zig (i.e. identifiers) {#sec-assignments}\n\nLet's talk more about objects in Zig. Readers that have past experience\nwith other programming languages might know this concept through\na different name, such as: \"variable\" or \"identifier\". In this book, I choose\nto use the term \"object\" to refer to this concept.\n\nTo create a new object (or a new \"identifier\") in Zig, we use\nthe keywords `const` or `var`. These keywords specificy if the object\nthat you are creating is mutable or not.\nIf you use `const`, then the object you are\ncreating is a constant (or immutable) object, which means that once you declare this object, you\ncan no longer change the value stored inside this object.\n\nOn the other side, if you use `var`, then, you are creating a variable (or mutable) object.\nYou can change the value of this object as many times you want. Using the\nkeyword `var` in Zig is similar to using the keywords `let mut` in Rust.\n\n### Constant objects vs variable objects\n\nIn the code example below, we are creating a new constant object called `age`.\nThis object stores a number representing the age of someone. However, this code example\ndoes not compiles succesfully. Because on the next line of code, we are trying to change the value\nof the object `age` to 25.\n\nThe `zig` compiler detects that we are trying to change\nthe value of an object/identifier that is constant, and because of that,\nthe compiler will raise a compilation error, warning us about the mistake.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst age = 24;\n// The line below is not valid!\nage = 25;\n```\n:::\n\n\n\n\n\n```\nt.zig:10:5: error: cannot assign to constant\n age = 25;\n ~~^~~\n```\n\nIn contrast, if you use `var`, then, the object created is a variable object.\nWith `var` you can declare this object in your source code, and then,\nchange the value of this object how many times you want over future points\nin your source code.\n\nSo, using the same code example exposed above, if I change the declaration of the\n`age` object to use the `var` keyword, then, the program gets compiled succesfully.\nBecause now, the `zig` compiler detects that we are changing the value of an\nobject that allows this behaviour, because it is an \"variable object\".\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nvar age: u8 = 24;\nage = 25;\n```\n:::\n\n\n\n\n\n\n### Declaring without an initial value\n\nBy default, when you declare a new object in Zig, you must give it\nan initial value. In other words, this means\nthat we have to declare, and, at the same time, initialize every object we\ncreate in our source code.\n\nOn the other hand, you can, in fact, declare a new object in your source code,\nand not give it an explicit value. But we need to use a special keyword for that,\nwhich is the `undefined` keyword.\n\nIs important to emphasize that, you should avoid using `undefined` as much as possible.\nBecause when you use this keyword, you leave your object uninitialized, and, as a consequence,\nif for some reason, your code use this object while it is uninitialized, then, you will definitely\nhave undefined behaviour and major bugs in your program.\n\nIn the example below, I'm declaring the `age` object again. But this time,\nI do not give it an initial value. The variable is only initialized at\nthe second line of code, where I store the number 25 in this object.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nvar age: u8 = undefined;\nage = 25;\n```\n:::\n\n\n\n\n\nHaving these points in mind, just remember that you should avoid as much as possible to use `undefined` in your code.\nAlways declare and initialize your objects. Because this gives you much more safety in your program.\nBut in case you really need to declare an object without initializing it... the\n`undefined` keyword is the way to do it in Zig.\n\n\n### There is no such thing as unused objects\n\nEvery object (being constant or variable) that you declare in Zig **must be used in some way**. You can give this object\nto a function call, as a function argument, or, you can use it in another expression\nto calculate the value of another object, or, you can call a method that belongs to this\nparticular object. \n\nIt doesn't matter in which way you use it. As long as you use it.\nIf you try to break this rule, i.e. if your try to declare a object, but not use it,\nthe `zig` compiler will not compile your Zig source code, and it will issue a error\nmessage warning that you have unused objects in your code.\n\nLet's demonstrate this with an example. In the source code below, we declare a constant object\ncalled `age`. If you try to compile a simple Zig program with this line of code below,\nthe compiler will return an error as demonstrated below:\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst age = 15;\n```\n:::\n\n\n\n\n\n```\nt.zig:4:11: error: unused local constant\n const age = 15;\n ^~~\n```\n\nEverytime you declare a new object in Zig, you have two choices:\n\n1. you either use the value of this object;\n2. or you explicitly discard the value of the object;\n\nTo explicitly discard the value of any object (constant or variable), all you need to do is to assign\nthis object to an special character in Zig, which is the underscore (`_`).\nWhen you assign an object to a underscore, like in the example below, the `zig` compiler will automatically\ndiscard the value of this particular object.\n\nYou can see in the example below that, this time, the compiler did not\ncomplain about any \"unused constant\", and succesfully compiled our source code.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\n// It compiles!\nconst age = 15;\n_ = age;\n```\n:::\n\n\n\n\n\nNow, remember, everytime you assign a particular object to the underscore, this object\nis essentially destroyed. It is discarded by the compiler. This means that you can no longer\nuse this object further in your code. It doesn't exist anymore.\n\nSo if you try to use the constant `age` in the example below, after we discarded it, you\nwill get a loud error message from the compiler (talking about a \"pointless discard\")\nwarning you about this mistake.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\n// It does not compile.\nconst age = 15;\n_ = age;\n// Using a discarded value!\nstd.debug.print(\"{d}\\n\", .{age + 2});\n```\n:::\n\n\n\n\n\n```\nt.zig:7:5: error: pointless discard\n of local constant\n```\n\n\nThis same rule applies to variable objects. Every variable object must also be used in\nsome way. And if you assign a variable object to the underscore,\nthis object also get's discarded, and you can no longer use this object.\n\n\n\n### You must mutate every variable objects\n\nEvery variable object that you create in your source code must be mutated at some point.\nIn other words, if you declare an object as a variable\nobject, with the keyword `var`, and you do not change the value of this object\nat some point in the future, the `zig` compiler will detect this,\nand it will raise an error warning you about this mistake.\n\nThe concept behind this is that every object you create in Zig should be preferably a\nconstant object, unless you really need an object whose value will\nchange during the execution of your program.\n\nSo, if I try to declare a variable object such as `where_i_live` below,\nand I do not change the value of this object in some way,\nthe `zig` compiler raises an error message with the phrase \"variable is never mutated\".\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nvar where_i_live = \"Belo Horizonte\";\n_ = where_i_live;\n```\n:::\n\n\n\n\n\n```\nt.zig:7:5: error: local variable is never mutated\nt.zig:7:5: note: consider using 'const'\n```\n\n## Primitive Data Types {#sec-primitive-data-types}\n\nZig have many different primitive data types available for you to use.\nYou can see the full list of available data types at the official\n[Language Reference page](https://ziglang.org/documentation/master/#Primitive-Types)[^lang-data-types].\n\n[^lang-data-types]: .\n\nBut here is a quick list:\n\n- Unsigned integers: `u8`, 8-bit integer; `u16`, 16-bit integer; `u32`, 32-bit integer; `u64`, 64-bit integer; `u128`, 128-bit integer.\n- Signed integers: `i8`, 8-bit integer; `i16`, 16-bit integer; `i32`, 32-bit integer; `i64`, 64-bit integer; `i128`, 128-bit integer.\n- Float number: `f16`, 16-bit floating point; `f32`, 32-bit floating point; `f64`, 64-bit floating point; `f128`, 128-bit floating point;\n- Boolean: `bool`, represents true or false values.\n- C ABI compatible types: `c_long`, `c_char`, `c_short`, `c_ushort`, `c_int`, `c_uint`, and many others.\n- Pointer sized integers: `isize` and `usize`.\n\n\n\n\n\n\n\n## Arrays {#sec-arrays}\n\nYou create arrays in Zig by using a syntax that resembles the C syntax.\nFirst, you specify the size of the array (i.e. the number of elements that will be stored in the array)\nyou want to create inside a pair of brackets.\n\nThen, you specify the data type of the elements that will be stored inside this array.\nAll elements present in an array in Zig must have the same data type. For example, you cannot mix elements\nof type `f32` with elements of type `i32` in the same array.\n\nAfter that, you simply list the values that you want to store in this array inside\na pair of curly braces.\nIn the example below, I am creating two constant objets that contain different arrays.\nThe first object contains an array of 4 integer values, while the second object,\nan array of 3 floating point values.\n\nNow, you should notice that in the object `ls`, I am\nnot explicitly specifying the size of the array inside of the brackets. Instead\nof using a literal value (like the value 4 that I used in the `ns` object), I am\nusing the special character underscore (`_`). This syntax tells the `zig` compiler\nto fill this field with the number of elements listed inside of the curly braces.\nSo, this syntax `[_]` is for lazy (or smart) programmers who leave the job of\ncounting how many elements there are in the curly braces for the compiler.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst ns = [4]u8{48, 24, 12, 6};\nconst ls = [_]f64{432.1, 87.2, 900.05};\n_ = ns; _ = ls;\n```\n:::\n\n\n\n\n\nIs worth noting that these are static arrays, meaning that\nthey cannot grow in size.\nOnce you declare your array, you cannot change the size of it.\nThis is very commom in low level languages.\nBecause low level languages normally wants to give you (the programmer) full control over memory,\nand the way in which arrays are expanded is tightly related to\nmemory management.\n\n\n### Selecting elements of the array\n\nOne very commom activity is to select specific portions of an array\nyou have in your source code.\nIn Zig, you can select a specific element from your\narray, by simply providing the index of this particular\nelement inside brackets after the object name.\nIn the example below, I am selecting the third element from the\n`ns` array. Notice that Zig is a \"zero-index\" based language,\nlike C, C++, Rust, Python, and many other languages.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst ns = [4]u8{48, 24, 12, 6};\ntry stdout.print(\"{d}\\n\", .{ ns[2] });\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\n12\n```\n\n\n:::\n:::\n\n\n\n\n\nIn contrast, you can also select specific slices (or sections) of your array, by using a\nrange selector. Some programmers also call these selectors of \"slice selectors\",\nand they also exist in Rust, and have the exact same syntax as in Zig.\nAnyway, a range selector is a special expression in Zig that defines\na range of indexes, and it have the syntax `start..end`.\n\nIn the example below, at the second line of code,\nthe `sl` object stores a slice (or a portion) of the\n`ns` array. More precisely, the elements at index 1 and 2\nin the `ns` array. \n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst ns = [4]u8{48, 24, 12, 6};\nconst sl = ns[1..3];\n_ = sl;\n```\n:::\n\n\n\n\n\nWhen you use the `start..end` syntax,\nthe \"end tail\" of the range selector is non-inclusive,\nmeaning that, the index at the end is not included in the range that is\nselected from the array.\nTherefore, the syntax `start..end` actually means `start..end - 1` in practice.\n\nYou can for example, create a slice that goes from the first to the\nlast elements of the array, by using `ar[0..ar.len]` syntax\nIn other words, it is a slice that\naccess all elements in the array.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst ar = [4]u8{48, 24, 12, 6};\nconst sl = ar[0..ar.len];\n_ = sl;\n```\n:::\n\n\n\n\n\nYou can also use the syntax `start..` in your range selector.\nWhich tells the `zig` compiler to select the portion of the array\nthat begins at the `start` index until the last element of the array.\nIn the example below, we are selecting the range from index 1\nuntil the end of the array.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst ns = [4]u8{48, 24, 12, 6};\nconst sl = ns[1..];\n_ = sl;\n```\n:::\n\n\n\n\n\n\n### More on slices\n\nAs we discussed before, in Zig, you can select specific portions of an existing\narray. This is called *slicing* in Zig [@zigguide], because when you select a portion\nof an array, you are creating a slice object from that array.\n\nA slice object is essentially a pointer object accompained by a length number.\nThe pointer object points to the first element in the slice, and the\nlength number tells the `zig` compiler how many elements there are in this slice.\n\n> Slices can be thought of as a pair of `[*]T` (the pointer to the data) and a `usize` (the element count) [@zigguide].\n\nThrough the pointer contained inside the slice you can access the elements (or values)\nthat are inside this range (or portion) that you selected from the original array.\nBut the length number (which you can access through the `len` property of your slice object)\nis the really big improvement (over C arrays for example) that Zig brings to the table here.\n\nBecause with this length number\nthe `zig` compiler can easily check if you are trying to access an index that is out of the bounds of this particular slice,\nor, if you are causing any buffer overflow problems. In the example below,\nwe access the `len` property of the slice `sl`, which tells us that this slice\nhave 2 elements in it.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst ns = [4]u8{48, 24, 12, 6};\nconst sl = ns[1..3];\ntry stdout.print(\"{d}\\n\", .{sl.len});\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\n2\n```\n\n\n:::\n:::\n\n\n\n\n\n\n### Array operators\n\nThere are two array operators available in Zig that are very useful.\nThe array concatenation operator (`++`), and the array multiplication operator (`**`). As the name suggests,\nthese are array operators.\n\nOne important detail about these two operators is that they work\nonly when both operands have a size (or \"length\") that is compile-time known.\nWe are going to talk more about\nthe differences between \"compile-time known\" and \"runtime known\" at @sec-compile-time.\nBut for now, keep this information in mind, that you cannot use these operators in every situation.\n\nIn summary, the `++` operator creates a new array that is the concatenation,\nof both arrays provided as operands. So, the expression `a ++ b` produces\na new array which contains all the elements from arrays `a` and `b`.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst a = [_]u8{1,2,3};\nconst b = [_]u8{4,5};\nconst c = a ++ b;\ntry stdout.print(\"{any}\\n\", .{c});\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\n{ 1, 2, 3, 4, 5 }\n```\n\n\n:::\n:::\n\n\n\n\n\nThis `++` operator is particularly useful to concatenate strings together.\nStrings in Zig are described in depth at @sec-zig-strings. In summary, a string object in Zig\nis essentially an arrays of bytes. So, you can use this array concatenation operator\nto effectively concatenate strings together.\n\nIn contrast, the `**` operator is used to replicate an array multiple\ntimes. In other words, the expression `a ** 3` creates a new array\nwhich contains the elements of the array `a` repeated 3 times.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst a = [_]u8{1,2,3};\nconst c = a ** 2;\ntry stdout.print(\"{any}\\n\", .{c});\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\n{ 1, 2, 3, 1, 2, 3 }\n```\n\n\n:::\n:::\n\n\n\n\n\n\n## Blocks and scopes {#sec-blocks}\n\nBlocks are created in Zig by a pair of curly braces. A block is just a group of\nexpressions (or statements) contained inside of a pair of curly braces. All of these expressions that\nare contained inside of this pair of curly braces belongs to the same scope.\n\nIn other words, a block just delimits a scope in your code.\nThe objects that you define inside the same block belongs to the same\nscope, and, therefore, are accessible from within this scope.\nAt the same time, these objects are not accessible outside of this scope.\nSo, you could also say that blocks are used to limit the scope of the objects that you create in\nyour source code. In less technical terms, blocks are used to specify where in your source code\nyou can access whatever object you have in your source code.\n\nSo, a block is just a group of expressions contained inside a pair of curly braces.\nAnd every block have it's own scope separated from the others.\nThe body of a function is a classic example of a block. If statements, for and while loops\n(and any other structure in the language that uses the pair of curly braces)\nare also examples of blocks.\n\nThis means that, every if statement, or for loop,\netc., that you create in your source code have it's own separate scope.\nThat is why you can't access the objects that you defined inside\nof your for loop (or if statement) in an outer scope, i.e. a scope outside of the for loop.\nBecause you are trying to access an object that belongs to a scope that is different\nthan your current scope.\n\n\nYou can create blocks within blocks, with multiple levels of nesting.\nYou can also (if you want to) give a label to a particular block, with the colon character (`:`).\nJust write `label:` before you open the pair of curly braces that delimits your block. When you label a block\nin Zig, you can use the `break` keyword to return a value from this block, like as if it\nwas a function's body. You just write the `break` keyword, followed by the block label in the format `:label`,\nand the expression that defines the value that you want to return.\n\nLike in the example below, where we are returning the value from the `y` object\nfrom the block `add_one`, and saving the result inside the `x` object.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nvar y: i32 = 123;\nconst x = add_one: {\n y += 1;\n break :add_one y;\n};\nif (x == 124 and y == 124) {\n try stdout.print(\"Hey!\", .{});\n}\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\nHey!\n```\n\n\n:::\n:::\n\n\n\n\n\n\n\n\n\n## How strings work in Zig? {#sec-zig-strings}\n\nThe first project that we are going to build and discuss in this book is a base64 encoder/decoder (@sec-base64).\nBut in order for us to build such a thing, we need to get a better understanding on how strings work in Zig.\nSo let's discuss this specific aspect of Zig.\n\nIn Zig, a string literal value is just a pointer to a null-terminated array of bytes (i.e. the same thing as a C string).\nHowever, a string object in Zig is a little more than just a pointer. A string object\nin Zig is an object of type `[]const u8`, and, this object always contains two things: the\nsame null-terminated array of bytes that you would find in a string literal value, plus a length value.\nEach byte in this \"array of bytes\" is represented by an `u8` value, which is an unsigned 8 bit integer,\nso, it is equivalent to the C data type `unsigned char`.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\n// This is a string literal value:\n\"A literal value\";\n// This is a string object:\nconst object: []const u8 = \"A string object\";\n```\n:::\n\n\n\n\n\nZig always assumes that this sequence of bytes is UTF-8 encoded. This might not be true for every\nsequence of bytes you have it, but is not really Zig's job to fix the encoding of your strings\n(you can use [`iconv`](https://www.gnu.org/software/libiconv/)[^libiconv] for that).\nToday, most of the text in our modern world, specially on the web, should be UTF-8 encoded.\nSo if your string literal is not UTF-8 encoded, then, you will likely\nhave problems in Zig.\n\n[^libiconv]: \n\nLet’s take for example the word \"Hello\". In UTF-8, this sequence of characters (H, e, l, l, o)\nis represented by the sequence of decimal numbers 72, 101, 108, 108, 111. In xecadecimal, this\nsequence is `0x48`, `0x65`, `0x6C`, `0x6C`, `0x6F`. So if I take this sequence of hexadecimal values,\nand ask Zig to print this sequence of bytes as a sequence of characters (i.e. a string), then,\nthe text \"Hello\" will be printed into the terminal:\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst std = @import(\"std\");\nconst stdout = std.io.getStdOut().writer();\n\npub fn main() !void {\n const bytes = [_]u8{0x48, 0x65, 0x6C, 0x6C, 0x6F};\n try stdout.print(\"{s}\\n\", .{bytes});\n}\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\nHello\n```\n\n\n:::\n:::\n\n\n\n\n\n\nIf you want to see the actual bytes that represents a string in Zig, you can use\na `for` loop to iterate through each byte in the string, and ask Zig to print each byte as an hexadecimal\nvalue to the terminal. You do that by using a `print()` statement with the `X` formatting specifier,\nlike you would normally do with the [`printf()` function](https://cplusplus.com/reference/cstdio/printf/)[^printfs] in C.\n\n[^printfs]: \n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst std = @import(\"std\");\nconst stdout = std.io.getStdOut().writer();\npub fn main() !void {\n const string_object = \"This is an example of string literal in Zig\";\n try stdout.print(\"Bytes that represents the string object: \", .{});\n for (string_object) |byte| {\n try stdout.print(\"{X} \", .{byte});\n }\n try stdout.print(\"\\n\", .{});\n}\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\nBytes that represents the string object: 54 68 69 \n 73 20 69 73 20 61 6E 20 65 78 61 6D 70 6C 65 20 6F\n F 66 20 73 74 72 69 6E 67 20 6C 69 74 65 72 61 6C 2\n 20 69 6E 20 5A 69 67 \n```\n\n\n:::\n:::\n\n\n\n\n\n### Strings in C\n\nAt first glance, this looks very similar to how C treats strings as well. In more details, string values\nin C are treated internally as an array of arbitrary bytes, and this array is also null-terminated.\n\nBut one key difference between a Zig string and a C string, is that Zig also stores the length of\nthe array inside the string object. This small detail makes your code safer, because is much\neasier for the Zig compiler to check if you are trying to access an element that is \"out of bounds\", i.e. if\nyour trying to access memory that does not belong to you.\n\nTo achieve this same kind of safety in C, you have to do a lot of work that kind of seems pointless.\nSo getting this kind of safety is not automatic and much harder to do in C. For example, if you want\nto track the length of your string troughout your program in C, then, you first need to loop through\nthe array of bytes that represents this string, and find the null element (`'\\0'`) position to discover\nwhere exactly the array ends, or, in other words, to find how much elements the array of bytes contain.\n\nTo do that, you would need something like this in C. In this example, the C string stored in\nthe object `array` is 25 bytes long:\n\n```c\n#include \nint main() {\n char* array = \"An example of string in C\";\n int index = 0;\n while (1) {\n if (array[index] == '\\0') {\n break;\n }\n index++;\n }\n printf(\"Number of elements in the array: %d\\n\", index);\n}\n```\n\n```\nNumber of elements in the array: 25\n```\n\nBut in Zig, you do not have to do this, because the object already contains a `len`\nfield which stores the length information of the array. As an example, the `string_object` object below is 43 bytes long:\n\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst std = @import(\"std\");\nconst stdout = std.io.getStdOut().writer();\npub fn main() !void {\n const string_object = \"This is an example of string literal in Zig\";\n try stdout.print(\"{d}\\n\", .{string_object.len});\n}\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\n43\n```\n\n\n:::\n:::\n\n\n\n\n\n\n### A better look at the object type\n\nNow, we can inspect better the type of objects that Zig create. To check the type of any object in Zig, you can use the\n`@TypeOf()` function. If we look at the type of the `simple_array` object below, you will find that this object\nis a array of 4 elements. Each element is a signed integer of 32 bits which corresponds to the data type `i32` in Zig.\nThat is what an object of type `[4]i32` is.\n\nBut if we look closely at the type of the `string_object` object below, you will find that this object is a\nconstant pointer (hence the `*const` annotation) to an array of 43 elements (or 43 bytes). Each element is a\nsingle byte (more precisely, an unsigned 8 bit integer - `u8`), that is why we have the `[43:0]u8` portion of the type below.\nIn other words, the string stored inside the `string_object` object is 43 bytes long.\nThat is why you have the type `*const [43:0]u8` below.\n\nIn the case of `string_object`, it is a constant pointer (`*const`) because the object `string_object` is declared\nas constant in the source code (in the line `const string_object = ...`). So, if we changed that for some reason, if\nwe declare `string_object` as a variable object (i.e. `var string_object = ...`), then, `string_object` would be\njust a normal pointer to an array of unsigned 8-bit integers (i.e. `* [43:0]u8`).\n\nNow, if we create an pointer to the `simple_array` object, then, we get a constant pointer to an array of 4 elements (`*const [4]i32`),\nwhich is very similar to the type of the `string_object` object. This demonstrates that a string object (or a string literal)\nin Zig is already a pointer to an array.\n\nJust remember that a \"pointer to an array\" is different than an \"array\". So a string object in Zig is a pointer to an array\nof bytes, and not simply an array of bytes.\n\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst std = @import(\"std\");\nconst stdout = std.io.getStdOut().writer();\npub fn main() !void {\n const string_object = \"This is an example of string literal in Zig\";\n const simple_array = [_]i32{1, 2, 3, 4};\n try stdout.print(\"Type of array object: {}\", .{@TypeOf(simple_array)});\n try stdout.print(\n \"Type of string object: {}\",\n .{@TypeOf(string_object)}\n );\n try stdout.print(\n \"Type of a pointer that points to the array object: {}\",\n .{@TypeOf(&simple_array)}\n );\n}\n```\n:::\n\n\n\n\n\n```\nType of array object: [4]i32\nType of string object: *const [43:0]u8\nType of a pointer that points to\n the array object: *const [4]i32\n```\n\n\n### Byte vs unicode points\n\nIs important to point out that each byte in the array is not necessarily a single character.\nThis fact arises from the difference between a single byte and a single unicode point.\n\nThe encoding UTF-8 works by assigning a number (which is called a unicode point) to each character in\nthe string. For example, the character \"H\" is stored in UTF-8 as the decimal number 72. This means that\nthe number 72 is the unicode point for the character \"H\". Each possible character that can appear in a\nUTF-8 encoded string have its own unicode point.\n\nFor example, the Latin Capital Letter A With Stroke (Ⱥ) is represented by the number (or the unicode point)\n570. However, this decimal number (570) is higher than the maximum number stored inside a single byte, which\nis 255. In other words, the maximum decimal number that can be represented with a single byte is 255. That is why,\nthe unicode point 570 is actually stored inside the computer’s memory as the bytes `C8 BA`.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst std = @import(\"std\");\nconst stdout = std.io.getStdOut().writer();\npub fn main() !void {\n const string_object = \"Ⱥ\";\n try stdout.print(\"Bytes that represents the string object: \", .{});\n for (string_object) |char| {\n try stdout.print(\"{X} \", .{char});\n }\n}\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\nBytes that represents the string object: C8 BA \n```\n\n\n:::\n:::\n\n\n\n\n\n\nThis means that to store the character Ⱥ in an UTF-8 encoded string, we need to use two bytes together\nto represent the number 570. That is why the relationship between bytes and unicode points is not always\n1 to 1. Each unicode point is a single character in the string, but not always a single byte corresponds\nto a single unicode point.\n\nAll of this means that if you loop trough the elements of a string in Zig, you will be looping through the\nbytes that represents that string, and not through the characters of that string. In the Ⱥ example above,\nthe for loop needed two iterations (instead of a single iteration) to print the two bytes that represents this Ⱥ letter.\n\nNow, all english letters (or ASCII letters if you prefer) can be represented by a single byte in UTF-8. As a\nconsequence, if your UTF-8 string contains only english letters (or ASCII letters), then, you are lucky. Because\nthe number of bytes will be equal to the number of characters in that string. In other words, in this specific\nsituation, the relationship between bytes and unicode points is 1 to 1.\n\nBut on the other side, if your string contains other types of letters… for example, you might be working with\ntext data that contains, chinese, japanese or latin letters, then, the number of bytes necessary to represent\nyour UTF-8 string will likely be much higher than the number of characters in that string.\n\nIf you need to iterate through the characters of a string, instead of its bytes, then, you can use the\n`std.unicode.Utf8View` struct to create an iterator that iterates through the unicode points of your string.\n\nIn the example below, we loop through the japanese characters “アメリカ”. Each of the four characters in\nthis string is represented by three bytes. But the for loop iterates four times, one iteration for each\ncharacter/unicode point in this string:\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst std = @import(\"std\");\nconst stdout = std.io.getStdOut().writer();\npub fn main() !void {\n var utf8 = (\n (try std.unicode.Utf8View.init(\"アメリカ\"))\n .iterator()\n );\n while (utf8.nextCodepointSlice()) |codepoint| {\n try stdout.print(\n \"got codepoint {}\\n\",\n .{std.fmt.fmtSliceHexUpper(codepoint)}\n );\n }\n}\n```\n:::\n\n\n\n\n\n```\ngot codepoint E382A2\ngot codepoint E383A1\ngot codepoint E383AA\ngot codepoint E382AB\n```\n\n\n### Some useful functions for strings\n\nIn this section, I just want to quickly describe some functions from the Zig Standard Library\nthat are very useful to use when working with strings. Most notably:\n\n- `std.mem.eql()`: to compare if two strings are equal.\n- `std.mem.splitScalar()`: to split a string into an array of substrings given a delimiter value.\n- `std.mem.splitSequence()`: to split a string into an array of substrings given a substring delimiter.\n- `std.mem.startsWith()`: to check if string starts with substring.\n- `std.mem.endsWith()`: to check if string starts with substring.\n- `std.mem.trim()`: to remove specific values from both start and end of the string.\n- `std.mem.concat()`: to concatenate strings together.\n- `std.mem.count()`: to count the occurrences of substring in the string.\n- `std.mem.replace()`: to replace the occurrences of substring in the string.\n\nNotice that all of these functions come from the `mem` module of\nthe Zig Standard Library. This module contains multiple functions and methods\nthat are useful to work with memory and sequences of bytes in general.\n\nThe `eql()` function is used to check if two arrays of data are equal or not.\nSince strings are just arbitrary arrays of bytes, we can use this function to compare two strings together.\nThis function returns a boolean value indicating if the two strings are equal\nor not. The first argument of this function is the data type of the elements of the arrays\nthat are being compared.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst name: []const u8 = \"Pedro\";\ntry stdout.print(\n \"{any}\\n\", .{std.mem.eql(u8, name, \"Pedro\")}\n);\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\ntrue\n```\n\n\n:::\n:::\n\n\n\n\n\nThe `splitScalar()` and `splitSequence()` functions are useful to split\na string into multiple fragments, like the `split()` method from Python strings. The difference between these two\nmethods is that the `splitScalar()` uses a single character as the separator to\nsplit the string, while `splitSequence()` uses a sequence of characters (a.k.a. a substring)\nas the separator. There is a practical example of these functions later in the book.\n\nThe `startsWith()` and `endsWith()` functions are pretty straightforward. They\nreturn a boolean value indicating if the string (or, more precisely, if the array of data)\nbegins (`startsWith`) or ends (`endsWith`) with the sequence provided.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst name: []const u8 = \"Pedro\";\ntry stdout.print(\n \"{any}\\n\", .{std.mem.startsWith(u8, name, \"Pe\")}\n);\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\ntrue\n```\n\n\n:::\n:::\n\n\n\n\n\nThe `concat()` function, as the name suggests, concatenate two or more strings together.\nBecause the process of concatenating the strings involves allocating enough space to\naccomodate all the strings together, this `concat()` function receives an allocator\nobject as input.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst str1 = \"Hello\";\nconst str2 = \" you!\";\nconst str3 = try std.mem.concat(\n allocator, u8, &[_][]const u8{ str1, str2 }\n);\ntry stdout.print(\"{s}\\n\", .{str3});\n```\n:::\n\n\n\n\n\n```\nHello you!\n```\n\nAs you can imagine, the `replace()` function is used to replace substrings in a string by another substring.\nThis function works very similarly to the `replace()` method from Python strings. Therefore, you\nprovide a substring to search, and every time that the `replace()` function finds\nthis substring within the input string, it replaces this substring with the \"replacement substring\"\nthat you provided as input.\n\nIn the example below, we are taking the input string \"Hello\", and replacing all occurrences\nof the substring \"el\" inside this input string with \"34\", and saving the results inside the\n`buffer` object. As result, the `replace()` function returns an `usize` value that\nindicates how many replacements were performed.\n\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst str1 = \"Hello\";\nvar buffer: [5]u8 = undefined;\nconst nrep = std.mem.replace(\n u8, str1, \"el\", \"34\", buffer[0..]\n);\ntry stdout.print(\"New string: {s}\\n\", .{buffer});\ntry stdout.print(\"N of replacements: {d}\\n\", .{nrep});\n```\n:::\n\n\n\n\n\n```\nNew string: H34lo\nN of replacements: 1\n```\n\n\n\n\n\n\n## Safety in Zig\n\nA general trend in modern low-level programming languages is safety. As our modern world\nbecome more interconnected with techology and computers,\nthe data produced by all of this technology becomes one of the most important\n(and also, one of the most dangerous) assets that we have.\n\nThis is probably the main reason why modern low-level programming languages\nhave been giving great attention to safety, specially memory safety, because\nmemory corruption is still the main target for hackers to exploit.\nThe reality is that we don't have an easy solution for this problem.\nFor now, we only have techniques and strategies that mitigates these\nproblems.\n\nAs Richard Feldman explains on his [most recent GOTO conference talk](https://www.youtube.com/watch?v=jIZpKpLCOiU&ab_channel=GOTOConferences)[^gotop]\n, we haven't figured it out yet a way to achieve **true safety in technology**.\nIn other words, we haven't found a way to build software that won't be exploited\nwith 100% certainty. We can greatly reduce the risks of our software being\nexploited, by ensuring memory safety for example. But this is not enough\nto achieve \"true safety\" territory.\n\nBecause even if you write your program in a \"safe language\", hackers can still\nexploit failures in the operational system where your program is running (e.g. maybe the\nsystem where your code is running have a \"backdoor exploit\" that can still\naffect your code in unexpected ways), or also, they can exploit the features\nfrom the architecture of your computer. A recently found exploit\nthat involves memory invalidation through a feature of \"memory tags\"\npresent in ARM chips is an example of that [@exploit1].\n\n[^gotop]: \n\nThe question is: what Zig and other languages have been doing to mitigate this problem?\nIf we take Rust as an example, Rust is, for the most part[^rust-safe], a memory safe\nlanguage by enforcing specific rules to the developer. In other words, the key feature\nof Rust, the *borrow checker*, forces you to follow a specific logic when you are writing\nyour Rust code, and the Rust compiler will always complain everytime you try to go out of this\npattern.\n\n[^rust-safe]: Actually, a lot of existing Rust code is still memory unsafe, because they communicate with external libraries through FFI (*foreign function interface*), which disables the borrow-checker features through the `unsafe` keyword.\n\n\nIn contrast, the Zig language is not a memory safe language by default.\nThere are some memory safety features that you get for free in Zig,\nspecially in arrays and pointer objects. But there are other tools\noffered by the language, that are not used by default.\nIn other words, the `zig` compiler does not obligates you to use such tools.\n\nThe tools listed below are related to memory safety. That is, they help you to achieve\nmemory safety in your Zig code:\n\n- `defer` allows you to keep free operations phisically close to allocations. This helps you to avoid memory leaks, \"use after free\", and also \"double-free\" problems. Furthermore, it also keeps free operations logically tied to the end of the current scope, which greatly reduces the mental overhead about object lifetime.\n- `errdefer` helps you to garantee that your program frees the allocated memory, even if a runtime error occurs.\n- pointers and objects are non-nullable by default. This helps you to avoid memory problems that might arise from de-referencing null pointers.\n- Zig offers some native types of allocators (called \"testing allocators\") that can detect memory leaks and double-frees. These types of allocators are widely used on unit tests, so they transform your unit tests into a weapon that you can use to detect memory problems in your code.\n- arrays and slices in Zig have their lengths embedded in the object itself, which makes the `zig` compiler very effective on detecting \"index out-of-range\" type of errors, and avoiding buffer overflows.\n\n\nDespite these features that Zig offers that are related to memory safety issues, the language\nalso have some rules that help you to achieve another type of safety, which is more related to\nprogram logic safety. These rules are:\n\n- pointers and objects are non-nullable by default. Which eliminates an edge case that might break the logic of your program.\n- switch statements must exaust all possible options.\n- the `zig` compiler forces you to handle every possible error in your program.\n\n\n## Other parts of Zig\n\nWe already learned a lot about Zig's syntax, and also, some pretty technical\ndetails about it. Just as a quick recap:\n\n- We talked about how functions are written in Zig at @sec-root-file and @sec-main-file.\n- How to create new objects/identifiers at @sec-root-file and specially at @sec-assignments.\n- How strings work in Zig at @sec-zig-strings.\n- How to use arrays and slices at @sec-arrays.\n- How to import functionality from other Zig modules at @sec-root-file.\n\n\nBut, for now, this amount of knowledge is enough for us to continue with this book.\nLater, over the next chapters we will still talk more about other parts of\nZig's syntax that are also equally important as the other parts. Such as:\n\n\n- How Object-Oriented programming can be done in Zig through *struct declarations* at @sec-structs-and-oop.\n- Basic control flow syntax at @sec-zig-control-flow.\n- Enums at @sec-enum;\n- Pointers and Optionals at @sec-pointer;\n- Error handling with `try` and `catch` at @sec-error-handling;\n- Unit tests at @sec-unittests;\n- Vectors;\n- Build System at @sec-build-system;\n\n\n\n\n", - "supporting": [], + "markdown": "---\nengine: knitr\nknitr: true\nsyntax-definition: \"../Assets/zig.xml\"\n---\n\n\n\n\n\n\n\n\n\n# Introducing Zig\n\nIn this chapter, I want to introduce you to the world of Zig.\nZig is a very young language that is being actively developed.\nAs a consequence, it's world is still very wild and to be explored.\nThis book is my attempt to help you on your personal journey for\nunderstanding and exploring the exciting world of Zig.\n\nI assume you have previous experience with some programming\nlanguage in this book, not necessarily with a low-level one.\nSo, if you have experience with Python, or Javascript, for example, it will be fine.\nBut, if you do have experience with low-level languages, such as C, C++, or\nRust, you will probably learn faster throughout this book.\n\n## What is Zig?\n\nZig is a modern, low-level, and general-purpose programming language. Some programmers think of\nZig as a modern and better version of C.\n\nIn the author's personal interpretation, Zig is tightly connected with \"less is more\".\nInstead of trying to become a modern language by adding more and more features,\nmany of the core improvements that Zig brings to the\ntable are actually about removing annoying behaviours/features from C and C++.\nIn other words, Zig tries to be better by simplifying the language, and by having more consistent and robust behaviour.\nAs a result, analyzing, writing and debugging applications become much easier and simpler in Zig, than it is in C or C++.\n\nThis philosophy becomes clear with the following phrase from the official website of Zig:\n\n> \"Focus on debugging your application rather than debugging your programming language knowledge\".\n\nThis phrase is specially true for C++ programmers. Because C++ is a gigantic language,\nwith tons of features, and also, there are lots of different \"flavors of C++\". These elements\nare what makes C++ so complex and hard to learn. Zig tries to go in the opposite direction.\nZig is a very simple language, more closely related to other simple languages such as C and Go.\n\nThe phrase above is still important for C programmers too. Because, even C being a simple\nlanguage, it is still hard sometimes to read and understand C code. For example, pre-processor macros in\nC are a frequent source of confusion. They really make it sometimes hard to debug\nC programs. Because macros are essentially a second language embedded in C that obscures\nyour C code. With macros, you are no longer 100% sure about which pieces\nof the code are being sent to the compiler, i.e.\nthey obscures the actual source code that you wrote.\n\nYou don't have macros in Zig. In Zig, the code you write, is the actual code that get's compiled by the compiler.\nYou also don't have a hidden control flow happening behind the scenes. And, you also\ndon't have functions or operators from the standard library that make\nhidden memory allocations behind your back.\n\nBy being a simpler language, Zig becomes much more clear and easier to read/write,\nbut at the same time, it also achieves a much more robust state, with more consistent\nbehaviour in edge situations. Once again, less is more.\n\n\n## Hello world in Zig\n\nWe begin our journey in Zig by creating a small \"Hello World\" program.\nTo start a new Zig project in your computer, you simply call the `init` command\nfrom the `zig` compiler.\nJust create a new directory in your computer, then, init a new Zig project\ninside this directory, like this:\n\n```bash\nmkdir hello_world\ncd hello_world\nzig init\n```\n\n```\ninfo: created build.zig\ninfo: created build.zig.zon\ninfo: created src/main.zig\ninfo: created src/root.zig\ninfo: see `zig build --help` for a menu of options\n```\n\n### Understanding the project files {#sec-project-files}\n\nAfter you run the `init` command from the `zig` compiler, some new files\nare created inside of your current directory. First, a \"source\" (`src`) directory\nis created, containing two files, `main.zig` and `root.zig`. Each `.zig` file\nis a separate Zig module, which is simply a text file that contains some Zig code.\n\nBy convention, the `main.zig` module is where your main function lives. Thus,\nif you are building an executable program in Zig, you need to declare a `main()` function,\nwhich represents the entrypoint of your program, i.e. it is where the execution of your program begins.\n\nHowever, if you are building a library (instead of an executable program), then,\nthe normal procedure is to delete this `main.zig` file and start with the `root.zig` module.\nBy convention, the `root.zig` module is the root source file of your library.\n\n```bash\ntree .\n```\n\n```\n.\n├── build.zig\n├── build.zig.zon\n└── src\n ├── main.zig\n └── root.zig\n\n1 directory, 4 files\n```\n\nThe `ìnit` command also creates two additional files in our working directory:\n`build.zig` and `build.zig.zon`. The first file (`build.zig`) represents a build script written in Zig.\nThis script is executed when you call the `build` command from the `zig` compiler.\nIn other words, this file contain Zig code that executes the necessary steps to build the entire project.\n\n\nLow-level languages normally use a compiler to build your\nsource code into binary executables or binary libraries.\nNevertheless, this process of compiling your source code and building\nbinary executables or binary libraries from it, became a real challenge\nin the programming world, once the projects became bigger and bigger.\nAs a result, programmers created \"build systems\", which are a second set of tools designed to make this process\nof compiling and building complex projects, easier.\n\nExamples of build systems are CMake, GNU Make, GNU Autoconf and Ninja,\nwhich are used to build complex C and C++ projects.\nWith these systems, you can write scripts, which are called \"build scripts\".\nThey simply are scripts that describes the necessary steps to compile/build\nyour project.\n\nHowever, these are separate tools, that do not\nbelong to C/C++ compilers, like `gcc` or `clang`.\nAs a result, in C/C++ projects, you have not only to install and\nmanage your C/C++ compilers, but you also have to install and manage\nthese build systems separately.\n\nIn Zig, we don't need to use a separate set of tools to build our projects,\nbecause a build system is embedded inside the language itself.\nTherefore, Zig contains a native build system in it, and\nwe can use this build system to write small scripts in Zig,\nwhich describes the necessary steps to build/compile our Zig project[^zig-build-system].\nSo, everything you need to build a complex Zig project is the\n`zig` compiler, and nothing more.\n\n[^zig-build-system]: .\n\n\nThe second generated file (`build.zig.zon`) is the Zig package manager configuration file,\nwhere you can list and manage the dependencies of your project. Yes, Zig has\na package manager (like `pip` in Python, `cargo` in Rust, or `npm` in Javascript) called Zon,\nand this `build.zig.zon` file is similar to the `package.json` file\nin Javascript projects, or, the `Pipfile` file in Python projects,\nor the `Cargo.toml` file in Rust projects.\n\n\n### The file `root.zig` {#sec-root-file}\n\nLet's take a look into the `root.zig` file.\nYou might have noticed that every line of code with an expression ends with a semicolon (`;`).\nThis follows the syntax of a C-family programming language[^c-family].\n\n[^c-family]: \n\nAlso, notice the `@import()` call at the first line. We use this built-in function\nto import functionality from other Zig modules into our current module.\nThis `@import()` function works similarly to the `#include` pre-processor\nin C or C++, or, to the `import` statement in Python or Javascript code.\nIn this example, we are importing the `std` module,\nwhich gives you access to the Zig Standard Library.\n\nIn this `root.zig` file, we can also see how assignments (i.e. creating new objects)\nare made in Zig. You can create a new object in Zig by using the following syntax\n`(const|var) name = value;`. In the example below, we are creating two constant\nobjects (`std` and `testing`). At @sec-assignments we talk more about objects in general.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst std = @import(\"std\");\nconst testing = std.testing;\n\nexport fn add(a: i32, b: i32) i32 {\n return a + b;\n}\n```\n:::\n\n\n\n\nFunctions in Zig are declared using the `fn` keyword.\nIn this `root.zig` module, we are declaring a function called `add()`, which has two arguments named `a` and `b`.\nThe function returns an integer of the type `i32` as result.\n\n\nZig is not exactly a strongly-typed language. Because you can (if you want to) omit\nthe type of an object in your code, if this type can be derived from the assigned value.\nBut there are other situations where you do need to be explicit.\nFor example, you do have to explicitly specify the type of each function argument, and also,\nthe return type of every function you create in Zig. So, at least in function declarations,\nZig is a strongly-typed language.\n\nWe specify the type of an object or a function argument in Zig by\nusing a colon character (`:`) followed by the type after the name of this object/function argument.\nWith the expressions `a: i32` and `b: i32`, we know that both `a` and `b` arguments have type `i32`,\nwhich is a signed 32 bit integer. In this part,\nthe syntax in Zig is identical to the syntax in Rust, which also specifies types by\nusing the colon character.\n\nLastly, we have the return type of the function at the end of the line, before we open\nthe curly braces to start writing the function's body. In the example above, this type is also\na signed 32 bit integer (`i32`) value.\n\nNotice that we also have an `export` keyword before the function declaration. This keyword\nis similar to the `extern` keyword in C. It exposes the function\nto make it available in the library API. Therefore, if you are writing\na library for other people to use, you have to expose the functions\nyou write in the public API of this library by using this `export` keyword.\nIf we removed the `export` keyword from the `add()` function declaration,\nthen, this function would be no longer exposed in the library object built\nby the `zig` compiler.\n\n\n### The `main.zig` file {#sec-main-file}\n\nNow that we have learned a lot about Zig's syntax from the `root.zig` file,\nlet's take a look at the `main.zig` file.\nA lot of the elements we saw in `root.zig` are also present in `main.zig`.\nBut there are some other elements that we haven't seen yet, so let's dive in.\n\nFirst, look at the return type of the `main()` function in this file.\nWe can see a small change. The return\ntype of the function (`void`) is accompanied by an exclamation mark (`!`).\nThis exclamation mark tells us that this `main()` function\nmight return an error.\n\nIn this example, the `main()` function can either return `void` or return an error.\nThis is an interesting feature of Zig. If you write a function and something inside of\nthe body of this function might return an error then you are forced to:\n\n- either add the exclamation mark to the return type of the function and make it clear that\nthis function might return an error\n- explicitly handle this error inside the function\n\nIn most programming languages, we normally handle (or deal with) an error through\na *try catch* pattern. Zig do have both `try` and `catch` keywords. But they work\na little differently than what you're probably used to in other languages.\n\nIf we look at the `main()` function below, you can see that we do have a `try` keyword\non the 5th line. But we do not have a `catch` keyword in this code.\nIn Zig, we use the `try` keyword to execute an expression that might return an error,\nwhich, in this example, is the `stdout.print()` expression.\n\nIn essence, the `try` keyword executes the expression `stdout.print()`. If this expression\nreturns a valid value, then, the `try` keyword do nothing. It only passes the value forward.\nBut if the expression does return an error, then, the `try` keyword just unwrap the error value,\nand return this error from the function and also prints the current stack trace to `stderr`.\n\nThis might sound weird to you if you come from a high-level language. Because in\nhigh-level languages, such as Python, if an error occurs somewhere, this error is automatically\nreturned and the execution of your program will automatically stop even if you don't want\nto stop the execution. You are obligated to face the error.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst std = @import(\"std\");\n\npub fn main() !void {\n const stdout = std.io.getStdOut().writer();\n try stdout.print(\"Hello, {s}!\\n\", .{\"world\"});\n}\n```\n:::\n\n\n\n\nAnother thing that you might have noticed in this code example, is that\nthe `main()` function is marked with the `pub` keyword.\nIt marks the `main()` function as a *public function* from this module.\n\nEvery function in your Zig module is by default private to this Zig module and can only be called from within the module.\nUnless, you explicitly mark this function as a public function with the `pub` keyword.\nThis means that the `pub` keyword in Zig do essentially the opposite of what the `static` keyword\ndo in C/C++.\n\nBy making a function \"public\" you allow other Zig modules to access and call it.\nA calling Zig module imports the module with the `@import()`\nbuilt-in. That makes all public functions from the imported module visible.\n\n\n### Compiling your source code {#sec-compile-code}\n\nYou can compile your Zig modules into a binary executable by running the `build-exe` command\nfrom the `zig` compiler. You simply list all the Zig modules that you want to build after\nthe `build-exe` command, separated by spaces. In the example below, we are compiling the module `main.zig`.\n\n```bash\nzig build-exe src/main.zig\n```\n\nSince we are building an executable, the `zig` compiler will look for a `main()` function\ndeclared in any of the files that you list after the `build-exe` command. If\nthe compiler does not find a `main()` function declared somewhere, a\ncompilation error will be raised, warning about this mistake.\n\nThe `zig` compiler also offers a `build-lib` and `build-obj` commands, which work\nthe exact same way as the `build-exe` command. The only difference is that, they compile your\nZig modules into a portale C ABI library, or, into object files, respectively.\n\nIn the case of the `build-exe` command, a binary executable file is created by the `zig`\ncompiler in the root directory of your project.\nIf we take a look now at the contents of our current directory, with a simple `ls` command, we can\nsee the binary file called `main` that was created by the compiler.\n\n```bash\nls\n```\n\n```\nbuild.zig build.zig.zon main src\n```\n\nIf I execute this binary executable, I get the \"Hello World\" message in the terminal\n, as we expected.\n\n```bash\n./main\n```\n\n```\nHello, world!\n```\n\n\n### Compile and execute at the same time {#sec-compile-run-code}\n\nOn the previous section, I presented the `zig build-exe` command, which\ncompiles Zig modules into an executable file. However, this means that,\nin order to execute the executable file, we have to run two different commands.\nFirst, the `zig build-exe` command, and then, we call the executable file\ncreated by the compiler.\n\nBut what if we wanted to perform these two steps,\nall at once, in a single command? We can do that by using the `zig run`\ncommand.\n\n```bash\nzig run src/main.zig\n```\n\n```\nHello, world!\n```\n\n### Compiling the entire project {#sec-compile-project}\n\nJust as I described at @sec-project-files, as our project grows in size and\ncomplexity, we usually prefer to organize the compilation and build process\nof the project into a build script, using some sort of \"build system\".\n\nIn other words, as our project grows in size and complexity,\nthe `build-exe`, `build-lib` and `build-obj` commands become\nharder to use directly. Because then, we start to list\nmultiple and multiple modules at the same time. We also\nstart to add built-in compilation flags to customize the\nbuild process for our needs, etc. It becomes a lot of work\nto write the necessary commands by hand.\n\nIn C/C++ projects, programmers normally opt to use CMake, Ninja, `Makefile` or `configure` scripts\nto organize this process. However, in Zig, we have a native build system in the language itself.\nSo, we can write build scripts in Zig to compile and build Zig projects. Then, all we\nneed to do, is to call the `zig build` command to build our project.\n\nSo, when you execute the `zig build` command, the `zig` compiler will search\nfor a Zig module named `build.zig` inside your current directory, which\nshould be your build script, containing the necessary code to compile and\nbuild your project. If the compiler do find this `build.zig` file in your directory,\nthen, the compiler will essentially execute a `zig run` command\nover this `build.zig` file, to compile and execute this build\nscript, which in turn, will compile and build your entire project.\n\n\n```bash\nzig build\n```\n\n\nAfter you execute this \"build project\" command, a `zig-out` directory\nis created in the root of your project directory, where you can find\nthe binary executables and libraries created from your Zig modules\naccordingly to the build commands that you specified at `build.zig`.\nWe will talk more about the build system in Zig latter in this book.\n\nIn the example below, I'm executing the binary executable\nnamed `hello_world` that was generated by the compiler after the\n`zig build` command.\n\n```bash\n./zig-out/bin/hello_world\n```\n\n```\nHello, world!\n```\n\n\n\n## How to learn Zig?\n\nWhat are the best strategies to learn Zig? \nFirst of all, of course this book will help you a lot on your journey through Zig.\nBut you will also need some extra resources if you want to be really good at Zig.\n\nAs a first tip, you can join a community with Zig programmers to get some help\n, when you need it:\n\n- Reddit forum: ;\n- Ziggit community: ;\n- Discord, Slack, Telegram, and others: ;\n\nNow, one of the best ways to learn Zig is to simply read Zig code. Try\nto read Zig code often, and things will become more clear.\nA C/C++ programmer would also probably give you this same tip.\nBecause this strategy really works!\n\nNow, where you can find Zig code to read?\nI personally think that, the best way of reading Zig code is to read the source code of the\nZig Standard Library. The Zig Standard Library is available at the [`lib/std` folder](https://github.com/ziglang/zig/tree/master/lib/std)[^zig-lib-std] on\nthe official GitHub repository of Zig. Access this folder, and start exploring the Zig modules.\n\nAlso, a great alternative is to read code from other large Zig\ncodebases, such as:\n\n1. the [Javascript runtime Bun](https://github.com/oven-sh/bun)[^bunjs].\n1. the [game engine Mach](https://github.com/hexops/mach)[^mach].\n1. a [LLama 2 LLM model implementation in Zig](https://github.com/cgbur/llama2.zig/tree/main)[^ll2].\n1. the [financial transactions database `tigerbeetle`](https://github.com/tigerbeetle/tigerbeetle)[^tiger].\n1. the [command-line arguments parser `zig-clap`](https://github.com/Hejsil/zig-clap)[^clap].\n1. the [UI framework `capy`](https://github.com/capy-ui/capy)[^capy].\n1. the [Language Protocol implementation for Zig, `zls`](https://github.com/zigtools/zls)[^zls].\n1. the [event-loop library `libxev`](https://github.com/mitchellh/libxev)[^xev].\n\n[^xev]: \n[^zls]: \n[^capy]: \n[^clap]: \n[^tiger]: \n[^ll2]: \n[^mach]: \n[^bunjs]: .\n\nAll these assets are available on GitHub,\nand this is great, because we can use the GitHub search bar in our advantage,\nto find Zig code that fits our description.\nFor example, you can always include `lang:Zig` in the GitHub search bar when you\nare searching for a particular pattern. This will limit the search to only Zig modules.\n\n[^zig-lib-std]: \n\nAlso, a great alternative is to consult online resources and documentations.\nHere is a quick list of resources that I personally use from time to time to learn\nmore about the language each day:\n\n- Zig Language Reference: ;\n- Zig Standard Library Reference: ;\n- Zig Guide: ;\n- Karl Seguin Blog: ;\n- Zig News: ;\n- Read the code written by one of the Zig core team members: ;\n- Some livecoding sessions are transmitted in the Zig Showtime Youtube Channel: ;\n\n\nAnother great strategy to learn Zig, or honestly, to learn any language you want,\nis to practice it by solving exercises. For example, there is a famous repository\nin the Zig community called [Ziglings](https://codeberg.org/ziglings/exercises/)[^ziglings]\n, which contains more than 100 small exercises that you can solve. It is a repository of\ntiny programs written in Zig that are currently broken, and your responsibility is to\nfix these programs, and make them work again.\n\n[^ziglings]: .\n\nA famous tech YouTuber known as *The Primeagen* also posted some videos (at YouTube)\nwhere he solves these exercises from Ziglings. The first video is named\n[\"Trying Zig Part 1\"](https://www.youtube.com/watch?v=OPuztQfM3Fg&t=2524s&ab_channel=TheVimeagen)[^prime1].\n\n[^prime1]: .\n\nAnother great alternative, is to solve the [Advent of Code exercises](https://adventofcode.com/)[^advent-code].\nThere are people that already took the time to learn and solve the exercises, and they posted\ntheir solutions on GitHub as well, so, in case you need some resource to compare while solving\nthe exercises, you can look at these two repositories:\n\n- ;\n- ;\n\n[^advent-code]: \n\n\n\n\n\n\n## Creating new objects in Zig (i.e. identifiers) {#sec-assignments}\n\nLet's talk more about objects in Zig. Readers that have past experience\nwith other programming languages might know this concept through\na different name, such as: \"variable\" or \"identifier\". In this book, I choose\nto use the term \"object\" to refer to this concept.\n\nTo create a new object (or a new \"identifier\") in Zig, we use\nthe keywords `const` or `var`. These keywords specificy if the object\nthat you are creating is mutable or not.\nIf you use `const`, then the object you are\ncreating is a constant (or immutable) object, which means that once you declare this object, you\ncan no longer change the value stored inside this object.\n\nOn the other side, if you use `var`, then, you are creating a variable (or mutable) object.\nYou can change the value of this object as many times you want. Using the\nkeyword `var` in Zig is similar to using the keywords `let mut` in Rust.\n\n### Constant objects vs variable objects\n\nIn the code example below, we are creating a new constant object called `age`.\nThis object stores a number representing the age of someone. However, this code example\ndoes not compiles succesfully. Because on the next line of code, we are trying to change the value\nof the object `age` to 25.\n\nThe `zig` compiler detects that we are trying to change\nthe value of an object/identifier that is constant, and because of that,\nthe compiler will raise a compilation error, warning us about the mistake.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst age = 24;\n// The line below is not valid!\nage = 25;\n```\n:::\n\n\n\n\n```\nt.zig:10:5: error: cannot assign to constant\n age = 25;\n ~~^~~\n```\n\nIn contrast, if you use `var`, then, the object created is a variable object.\nWith `var` you can declare this object in your source code, and then,\nchange the value of this object how many times you want over future points\nin your source code.\n\nSo, using the same code example exposed above, if I change the declaration of the\n`age` object to use the `var` keyword, then, the program gets compiled succesfully.\nBecause now, the `zig` compiler detects that we are changing the value of an\nobject that allows this behaviour, because it is an \"variable object\".\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nvar age: u8 = 24;\nage = 25;\n```\n:::\n\n\n\n\n\n### Declaring without an initial value\n\nBy default, when you declare a new object in Zig, you must give it\nan initial value. In other words, this means\nthat we have to declare, and, at the same time, initialize every object we\ncreate in our source code.\n\nOn the other hand, you can, in fact, declare a new object in your source code,\nand not give it an explicit value. But we need to use a special keyword for that,\nwhich is the `undefined` keyword.\n\nIs important to emphasize that, you should avoid using `undefined` as much as possible.\nBecause when you use this keyword, you leave your object uninitialized, and, as a consequence,\nif for some reason, your code use this object while it is uninitialized, then, you will definitely\nhave undefined behaviour and major bugs in your program.\n\nIn the example below, I'm declaring the `age` object again. But this time,\nI do not give it an initial value. The variable is only initialized at\nthe second line of code, where I store the number 25 in this object.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nvar age: u8 = undefined;\nage = 25;\n```\n:::\n\n\n\n\nHaving these points in mind, just remember that you should avoid as much as possible to use `undefined` in your code.\nAlways declare and initialize your objects. Because this gives you much more safety in your program.\nBut in case you really need to declare an object without initializing it... the\n`undefined` keyword is the way to do it in Zig.\n\n\n### There is no such thing as unused objects\n\nEvery object (being constant or variable) that you declare in Zig **must be used in some way**. You can give this object\nto a function call, as a function argument, or, you can use it in another expression\nto calculate the value of another object, or, you can call a method that belongs to this\nparticular object. \n\nIt doesn't matter in which way you use it. As long as you use it.\nIf you try to break this rule, i.e. if your try to declare a object, but not use it,\nthe `zig` compiler will not compile your Zig source code, and it will issue a error\nmessage warning that you have unused objects in your code.\n\nLet's demonstrate this with an example. In the source code below, we declare a constant object\ncalled `age`. If you try to compile a simple Zig program with this line of code below,\nthe compiler will return an error as demonstrated below:\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst age = 15;\n```\n:::\n\n\n\n\n```\nt.zig:4:11: error: unused local constant\n const age = 15;\n ^~~\n```\n\nEverytime you declare a new object in Zig, you have two choices:\n\n1. you either use the value of this object;\n2. or you explicitly discard the value of the object;\n\nTo explicitly discard the value of any object (constant or variable), all you need to do is to assign\nthis object to an special character in Zig, which is the underscore (`_`).\nWhen you assign an object to a underscore, like in the example below, the `zig` compiler will automatically\ndiscard the value of this particular object.\n\nYou can see in the example below that, this time, the compiler did not\ncomplain about any \"unused constant\", and succesfully compiled our source code.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\n// It compiles!\nconst age = 15;\n_ = age;\n```\n:::\n\n\n\n\nNow, remember, everytime you assign a particular object to the underscore, this object\nis essentially destroyed. It is discarded by the compiler. This means that you can no longer\nuse this object further in your code. It doesn't exist anymore.\n\nSo if you try to use the constant `age` in the example below, after we discarded it, you\nwill get a loud error message from the compiler (talking about a \"pointless discard\")\nwarning you about this mistake.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\n// It does not compile.\nconst age = 15;\n_ = age;\n// Using a discarded value!\nstd.debug.print(\"{d}\\n\", .{age + 2});\n```\n:::\n\n\n\n\n```\nt.zig:7:5: error: pointless discard\n of local constant\n```\n\n\nThis same rule applies to variable objects. Every variable object must also be used in\nsome way. And if you assign a variable object to the underscore,\nthis object also get's discarded, and you can no longer use this object.\n\n\n\n### You must mutate every variable objects\n\nEvery variable object that you create in your source code must be mutated at some point.\nIn other words, if you declare an object as a variable\nobject, with the keyword `var`, and you do not change the value of this object\nat some point in the future, the `zig` compiler will detect this,\nand it will raise an error warning you about this mistake.\n\nThe concept behind this is that every object you create in Zig should be preferably a\nconstant object, unless you really need an object whose value will\nchange during the execution of your program.\n\nSo, if I try to declare a variable object such as `where_i_live` below,\nand I do not change the value of this object in some way,\nthe `zig` compiler raises an error message with the phrase \"variable is never mutated\".\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nvar where_i_live = \"Belo Horizonte\";\n_ = where_i_live;\n```\n:::\n\n\n\n\n```\nt.zig:7:5: error: local variable is never mutated\nt.zig:7:5: note: consider using 'const'\n```\n\n## Primitive Data Types {#sec-primitive-data-types}\n\nZig have many different primitive data types available for you to use.\nYou can see the full list of available data types at the official\n[Language Reference page](https://ziglang.org/documentation/master/#Primitive-Types)[^lang-data-types].\n\n[^lang-data-types]: .\n\nBut here is a quick list:\n\n- Unsigned integers: `u8`, 8-bit integer; `u16`, 16-bit integer; `u32`, 32-bit integer; `u64`, 64-bit integer; `u128`, 128-bit integer.\n- Signed integers: `i8`, 8-bit integer; `i16`, 16-bit integer; `i32`, 32-bit integer; `i64`, 64-bit integer; `i128`, 128-bit integer.\n- Float number: `f16`, 16-bit floating point; `f32`, 32-bit floating point; `f64`, 64-bit floating point; `f128`, 128-bit floating point;\n- Boolean: `bool`, represents true or false values.\n- C ABI compatible types: `c_long`, `c_char`, `c_short`, `c_ushort`, `c_int`, `c_uint`, and many others.\n- Pointer sized integers: `isize` and `usize`.\n\n\n\n\n\n\n\n## Arrays {#sec-arrays}\n\nYou create arrays in Zig by using a syntax that resembles the C syntax.\nFirst, you specify the size of the array (i.e. the number of elements that will be stored in the array)\nyou want to create inside a pair of brackets.\n\nThen, you specify the data type of the elements that will be stored inside this array.\nAll elements present in an array in Zig must have the same data type. For example, you cannot mix elements\nof type `f32` with elements of type `i32` in the same array.\n\nAfter that, you simply list the values that you want to store in this array inside\na pair of curly braces.\nIn the example below, I am creating two constant objets that contain different arrays.\nThe first object contains an array of 4 integer values, while the second object,\nan array of 3 floating point values.\n\nNow, you should notice that in the object `ls`, I am\nnot explicitly specifying the size of the array inside of the brackets. Instead\nof using a literal value (like the value 4 that I used in the `ns` object), I am\nusing the special character underscore (`_`). This syntax tells the `zig` compiler\nto fill this field with the number of elements listed inside of the curly braces.\nSo, this syntax `[_]` is for lazy (or smart) programmers who leave the job of\ncounting how many elements there are in the curly braces for the compiler.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst ns = [4]u8{48, 24, 12, 6};\nconst ls = [_]f64{432.1, 87.2, 900.05};\n_ = ns; _ = ls;\n```\n:::\n\n\n\n\nIs worth noting that these are static arrays, meaning that\nthey cannot grow in size.\nOnce you declare your array, you cannot change the size of it.\nThis is very commom in low level languages.\nBecause low level languages normally wants to give you (the programmer) full control over memory,\nand the way in which arrays are expanded is tightly related to\nmemory management.\n\n\n### Selecting elements of the array\n\nOne very commom activity is to select specific portions of an array\nyou have in your source code.\nIn Zig, you can select a specific element from your\narray, by simply providing the index of this particular\nelement inside brackets after the object name.\nIn the example below, I am selecting the third element from the\n`ns` array. Notice that Zig is a \"zero-index\" based language,\nlike C, C++, Rust, Python, and many other languages.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst ns = [4]u8{48, 24, 12, 6};\ntry stdout.print(\"{d}\\n\", .{ ns[2] });\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\n12\n```\n\n\n:::\n:::\n\n\n\n\nIn contrast, you can also select specific slices (or sections) of your array, by using a\nrange selector. Some programmers also call these selectors of \"slice selectors\",\nand they also exist in Rust, and have the exact same syntax as in Zig.\nAnyway, a range selector is a special expression in Zig that defines\na range of indexes, and it have the syntax `start..end`.\n\nIn the example below, at the second line of code,\nthe `sl` object stores a slice (or a portion) of the\n`ns` array. More precisely, the elements at index 1 and 2\nin the `ns` array. \n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst ns = [4]u8{48, 24, 12, 6};\nconst sl = ns[1..3];\n_ = sl;\n```\n:::\n\n\n\n\nWhen you use the `start..end` syntax,\nthe \"end tail\" of the range selector is non-inclusive,\nmeaning that, the index at the end is not included in the range that is\nselected from the array.\nTherefore, the syntax `start..end` actually means `start..end - 1` in practice.\n\nYou can for example, create a slice that goes from the first to the\nlast elements of the array, by using `ar[0..ar.len]` syntax\nIn other words, it is a slice that\naccess all elements in the array.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst ar = [4]u8{48, 24, 12, 6};\nconst sl = ar[0..ar.len];\n_ = sl;\n```\n:::\n\n\n\n\nYou can also use the syntax `start..` in your range selector.\nWhich tells the `zig` compiler to select the portion of the array\nthat begins at the `start` index until the last element of the array.\nIn the example below, we are selecting the range from index 1\nuntil the end of the array.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst ns = [4]u8{48, 24, 12, 6};\nconst sl = ns[1..];\n_ = sl;\n```\n:::\n\n\n\n\n\n### More on slices\n\nAs we discussed before, in Zig, you can select specific portions of an existing\narray. This is called *slicing* in Zig [@zigguide], because when you select a portion\nof an array, you are creating a slice object from that array.\n\nA slice object is essentially a pointer object accompained by a length number.\nThe pointer object points to the first element in the slice, and the\nlength number tells the `zig` compiler how many elements there are in this slice.\n\n> Slices can be thought of as a pair of `[*]T` (the pointer to the data) and a `usize` (the element count) [@zigguide].\n\nThrough the pointer contained inside the slice you can access the elements (or values)\nthat are inside this range (or portion) that you selected from the original array.\nBut the length number (which you can access through the `len` property of your slice object)\nis the really big improvement (over C arrays for example) that Zig brings to the table here.\n\nBecause with this length number\nthe `zig` compiler can easily check if you are trying to access an index that is out of the bounds of this particular slice,\nor, if you are causing any buffer overflow problems. In the example below,\nwe access the `len` property of the slice `sl`, which tells us that this slice\nhave 2 elements in it.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst ns = [4]u8{48, 24, 12, 6};\nconst sl = ns[1..3];\ntry stdout.print(\"{d}\\n\", .{sl.len});\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\n2\n```\n\n\n:::\n:::\n\n\n\n\n\n### Array operators\n\nThere are two array operators available in Zig that are very useful.\nThe array concatenation operator (`++`), and the array multiplication operator (`**`). As the name suggests,\nthese are array operators.\n\nOne important detail about these two operators is that they work\nonly when both operands have a size (or \"length\") that is compile-time known.\nWe are going to talk more about\nthe differences between \"compile-time known\" and \"runtime known\" at @sec-compile-time.\nBut for now, keep this information in mind, that you cannot use these operators in every situation.\n\nIn summary, the `++` operator creates a new array that is the concatenation,\nof both arrays provided as operands. So, the expression `a ++ b` produces\na new array which contains all the elements from arrays `a` and `b`.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst a = [_]u8{1,2,3};\nconst b = [_]u8{4,5};\nconst c = a ++ b;\ntry stdout.print(\"{any}\\n\", .{c});\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\n{ 1, 2, 3, 4, 5 }\n```\n\n\n:::\n:::\n\n\n\n\nThis `++` operator is particularly useful to concatenate strings together.\nStrings in Zig are described in depth at @sec-zig-strings. In summary, a string object in Zig\nis essentially an arrays of bytes. So, you can use this array concatenation operator\nto effectively concatenate strings together.\n\nIn contrast, the `**` operator is used to replicate an array multiple\ntimes. In other words, the expression `a ** 3` creates a new array\nwhich contains the elements of the array `a` repeated 3 times.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst a = [_]u8{1,2,3};\nconst c = a ** 2;\ntry stdout.print(\"{any}\\n\", .{c});\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\n{ 1, 2, 3, 1, 2, 3 }\n```\n\n\n:::\n:::\n\n\n\n\n\n## Blocks and scopes {#sec-blocks}\n\nBlocks are created in Zig by a pair of curly braces. A block is just a group of\nexpressions (or statements) contained inside of a pair of curly braces. All of these expressions that\nare contained inside of this pair of curly braces belongs to the same scope.\n\nIn other words, a block just delimits a scope in your code.\nThe objects that you define inside the same block belongs to the same\nscope, and, therefore, are accessible from within this scope.\nAt the same time, these objects are not accessible outside of this scope.\nSo, you could also say that blocks are used to limit the scope of the objects that you create in\nyour source code. In less technical terms, blocks are used to specify where in your source code\nyou can access whatever object you have in your source code.\n\nSo, a block is just a group of expressions contained inside a pair of curly braces.\nAnd every block have it's own scope separated from the others.\nThe body of a function is a classic example of a block. If statements, for and while loops\n(and any other structure in the language that uses the pair of curly braces)\nare also examples of blocks.\n\nThis means that, every if statement, or for loop,\netc., that you create in your source code have it's own separate scope.\nThat is why you can't access the objects that you defined inside\nof your for loop (or if statement) in an outer scope, i.e. a scope outside of the for loop.\nBecause you are trying to access an object that belongs to a scope that is different\nthan your current scope.\n\n\nYou can create blocks within blocks, with multiple levels of nesting.\nYou can also (if you want to) give a label to a particular block, with the colon character (`:`).\nJust write `label:` before you open the pair of curly braces that delimits your block. When you label a block\nin Zig, you can use the `break` keyword to return a value from this block, like as if it\nwas a function's body. You just write the `break` keyword, followed by the block label in the format `:label`,\nand the expression that defines the value that you want to return.\n\nLike in the example below, where we are returning the value from the `y` object\nfrom the block `add_one`, and saving the result inside the `x` object.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nvar y: i32 = 123;\nconst x = add_one: {\n y += 1;\n break :add_one y;\n};\nif (x == 124 and y == 124) {\n try stdout.print(\"Hey!\", .{});\n}\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\nHey!\n```\n\n\n:::\n:::\n\n\n\n\n\n\n\n\n## How strings work in Zig? {#sec-zig-strings}\n\nThe first project that we are going to build and discuss in this book is a base64 encoder/decoder (@sec-base64).\nBut in order for us to build such a thing, we need to get a better understanding on how strings work in Zig.\nSo let's discuss this specific aspect of Zig.\n\nIn Zig, a string literal value is just a pointer to a null-terminated array of bytes (i.e. the same thing as a C string).\nHowever, a string object in Zig is a little more than just a pointer. A string object\nin Zig is an object of type `[]const u8`, and, this object always contains two things: the\nsame null-terminated array of bytes that you would find in a string literal value, plus a length value.\nEach byte in this \"array of bytes\" is represented by an `u8` value, which is an unsigned 8 bit integer,\nso, it is equivalent to the C data type `unsigned char`.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\n// This is a string literal value:\n\"A literal value\";\n// This is a string object:\nconst object: []const u8 = \"A string object\";\n```\n:::\n\n\n\n\nZig always assumes that this sequence of bytes is UTF-8 encoded. This might not be true for every\nsequence of bytes you have it, but is not really Zig's job to fix the encoding of your strings\n(you can use [`iconv`](https://www.gnu.org/software/libiconv/)[^libiconv] for that).\nToday, most of the text in our modern world, specially on the web, should be UTF-8 encoded.\nSo if your string literal is not UTF-8 encoded, then, you will likely\nhave problems in Zig.\n\n[^libiconv]: \n\nLet’s take for example the word \"Hello\". In UTF-8, this sequence of characters (H, e, l, l, o)\nis represented by the sequence of decimal numbers 72, 101, 108, 108, 111. In xecadecimal, this\nsequence is `0x48`, `0x65`, `0x6C`, `0x6C`, `0x6F`. So if I take this sequence of hexadecimal values,\nand ask Zig to print this sequence of bytes as a sequence of characters (i.e. a string), then,\nthe text \"Hello\" will be printed into the terminal:\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst std = @import(\"std\");\nconst stdout = std.io.getStdOut().writer();\n\npub fn main() !void {\n const bytes = [_]u8{0x48, 0x65, 0x6C, 0x6C, 0x6F};\n try stdout.print(\"{s}\\n\", .{bytes});\n}\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\nHello\n```\n\n\n:::\n:::\n\n\n\n\n\nIf you want to see the actual bytes that represents a string in Zig, you can use\na `for` loop to iterate through each byte in the string, and ask Zig to print each byte as an hexadecimal\nvalue to the terminal. You do that by using a `print()` statement with the `X` formatting specifier,\nlike you would normally do with the [`printf()` function](https://cplusplus.com/reference/cstdio/printf/)[^printfs] in C.\n\n[^printfs]: \n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst std = @import(\"std\");\nconst stdout = std.io.getStdOut().writer();\npub fn main() !void {\n const string_object = \"This is an example of string literal in Zig\";\n try stdout.print(\"Bytes that represents the string object: \", .{});\n for (string_object) |byte| {\n try stdout.print(\"{X} \", .{byte});\n }\n try stdout.print(\"\\n\", .{});\n}\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\nBytes that represents the string object: 54 68 69 \n 73 20 69 73 20 61 6E 20 65 78 61 6D 70 6C 65 20 6F\n F 66 20 73 74 72 69 6E 67 20 6C 69 74 65 72 61 6C 2\n 20 69 6E 20 5A 69 67 \n```\n\n\n:::\n:::\n\n\n\n\n### Strings in C\n\nAt first glance, this looks very similar to how C treats strings as well. In more details, string values\nin C are treated internally as an array of arbitrary bytes, and this array is also null-terminated.\n\nBut one key difference between a Zig string and a C string, is that Zig also stores the length of\nthe array inside the string object. This small detail makes your code safer, because is much\neasier for the Zig compiler to check if you are trying to access an element that is \"out of bounds\", i.e. if\nyour trying to access memory that does not belong to you.\n\nTo achieve this same kind of safety in C, you have to do a lot of work that kind of seems pointless.\nSo getting this kind of safety is not automatic and much harder to do in C. For example, if you want\nto track the length of your string troughout your program in C, then, you first need to loop through\nthe array of bytes that represents this string, and find the null element (`'\\0'`) position to discover\nwhere exactly the array ends, or, in other words, to find how much elements the array of bytes contain.\n\nTo do that, you would need something like this in C. In this example, the C string stored in\nthe object `array` is 25 bytes long:\n\n```c\n#include \nint main() {\n char* array = \"An example of string in C\";\n int index = 0;\n while (1) {\n if (array[index] == '\\0') {\n break;\n }\n index++;\n }\n printf(\"Number of elements in the array: %d\\n\", index);\n}\n```\n\n```\nNumber of elements in the array: 25\n```\n\nBut in Zig, you do not have to do this, because the object already contains a `len`\nfield which stores the length information of the array. As an example, the `string_object` object below is 43 bytes long:\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst std = @import(\"std\");\nconst stdout = std.io.getStdOut().writer();\npub fn main() !void {\n const string_object = \"This is an example of string literal in Zig\";\n try stdout.print(\"{d}\\n\", .{string_object.len});\n}\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\n43\n```\n\n\n:::\n:::\n\n\n\n\n\n### A better look at the object type\n\nNow, we can inspect better the type of objects that Zig create. To check the type of any object in Zig, you can use the\n`@TypeOf()` function. If we look at the type of the `simple_array` object below, you will find that this object\nis a array of 4 elements. Each element is a signed integer of 32 bits which corresponds to the data type `i32` in Zig.\nThat is what an object of type `[4]i32` is.\n\nBut if we look closely at the type of the `string_object` object below, you will find that this object is a\nconstant pointer (hence the `*const` annotation) to an array of 43 elements (or 43 bytes). Each element is a\nsingle byte (more precisely, an unsigned 8 bit integer - `u8`), that is why we have the `[43:0]u8` portion of the type below.\nIn other words, the string stored inside the `string_object` object is 43 bytes long.\nThat is why you have the type `*const [43:0]u8` below.\n\nIn the case of `string_object`, it is a constant pointer (`*const`) because the object `string_object` is declared\nas constant in the source code (in the line `const string_object = ...`). So, if we changed that for some reason, if\nwe declare `string_object` as a variable object (i.e. `var string_object = ...`), then, `string_object` would be\njust a normal pointer to an array of unsigned 8-bit integers (i.e. `* [43:0]u8`).\n\nNow, if we create an pointer to the `simple_array` object, then, we get a constant pointer to an array of 4 elements (`*const [4]i32`),\nwhich is very similar to the type of the `string_object` object. This demonstrates that a string object (or a string literal)\nin Zig is already a pointer to an array.\n\nJust remember that a \"pointer to an array\" is different than an \"array\". So a string object in Zig is a pointer to an array\nof bytes, and not simply an array of bytes.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst std = @import(\"std\");\nconst stdout = std.io.getStdOut().writer();\npub fn main() !void {\n const string_object = \"This is an example of string literal in Zig\";\n const simple_array = [_]i32{1, 2, 3, 4};\n try stdout.print(\"Type of array object: {}\", .{@TypeOf(simple_array)});\n try stdout.print(\n \"Type of string object: {}\",\n .{@TypeOf(string_object)}\n );\n try stdout.print(\n \"Type of a pointer that points to the array object: {}\",\n .{@TypeOf(&simple_array)}\n );\n}\n```\n:::\n\n\n\n\n```\nType of array object: [4]i32\nType of string object: *const [43:0]u8\nType of a pointer that points to\n the array object: *const [4]i32\n```\n\n\n### Byte vs unicode points\n\nIs important to point out that each byte in the array is not necessarily a single character.\nThis fact arises from the difference between a single byte and a single unicode point.\n\nThe encoding UTF-8 works by assigning a number (which is called a unicode point) to each character in\nthe string. For example, the character \"H\" is stored in UTF-8 as the decimal number 72. This means that\nthe number 72 is the unicode point for the character \"H\". Each possible character that can appear in a\nUTF-8 encoded string have its own unicode point.\n\nFor example, the Latin Capital Letter A With Stroke (Ⱥ) is represented by the number (or the unicode point)\n570. However, this decimal number (570) is higher than the maximum number stored inside a single byte, which\nis 255. In other words, the maximum decimal number that can be represented with a single byte is 255. That is why,\nthe unicode point 570 is actually stored inside the computer’s memory as the bytes `C8 BA`.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst std = @import(\"std\");\nconst stdout = std.io.getStdOut().writer();\npub fn main() !void {\n const string_object = \"Ⱥ\";\n try stdout.print(\"Bytes that represents the string object: \", .{});\n for (string_object) |char| {\n try stdout.print(\"{X} \", .{char});\n }\n}\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\nBytes that represents the string object: C8 BA \n```\n\n\n:::\n:::\n\n\n\n\n\nThis means that to store the character Ⱥ in an UTF-8 encoded string, we need to use two bytes together\nto represent the number 570. That is why the relationship between bytes and unicode points is not always\n1 to 1. Each unicode point is a single character in the string, but not always a single byte corresponds\nto a single unicode point.\n\nAll of this means that if you loop trough the elements of a string in Zig, you will be looping through the\nbytes that represents that string, and not through the characters of that string. In the Ⱥ example above,\nthe for loop needed two iterations (instead of a single iteration) to print the two bytes that represents this Ⱥ letter.\n\nNow, all english letters (or ASCII letters if you prefer) can be represented by a single byte in UTF-8. As a\nconsequence, if your UTF-8 string contains only english letters (or ASCII letters), then, you are lucky. Because\nthe number of bytes will be equal to the number of characters in that string. In other words, in this specific\nsituation, the relationship between bytes and unicode points is 1 to 1.\n\nBut on the other side, if your string contains other types of letters… for example, you might be working with\ntext data that contains, chinese, japanese or latin letters, then, the number of bytes necessary to represent\nyour UTF-8 string will likely be much higher than the number of characters in that string.\n\nIf you need to iterate through the characters of a string, instead of its bytes, then, you can use the\n`std.unicode.Utf8View` struct to create an iterator that iterates through the unicode points of your string.\n\nIn the example below, we loop through the japanese characters “アメリカ”. Each of the four characters in\nthis string is represented by three bytes. But the for loop iterates four times, one iteration for each\ncharacter/unicode point in this string:\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst std = @import(\"std\");\nconst stdout = std.io.getStdOut().writer();\npub fn main() !void {\n var utf8 = (\n (try std.unicode.Utf8View.init(\"アメリカ\"))\n .iterator()\n );\n while (utf8.nextCodepointSlice()) |codepoint| {\n try stdout.print(\n \"got codepoint {}\\n\",\n .{std.fmt.fmtSliceHexUpper(codepoint)}\n );\n }\n}\n```\n:::\n\n\n\n\n```\ngot codepoint E382A2\ngot codepoint E383A1\ngot codepoint E383AA\ngot codepoint E382AB\n```\n\n\n### Some useful functions for strings\n\nIn this section, I just want to quickly describe some functions from the Zig Standard Library\nthat are very useful to use when working with strings. Most notably:\n\n- `std.mem.eql()`: to compare if two strings are equal.\n- `std.mem.splitScalar()`: to split a string into an array of substrings given a delimiter value.\n- `std.mem.splitSequence()`: to split a string into an array of substrings given a substring delimiter.\n- `std.mem.startsWith()`: to check if string starts with substring.\n- `std.mem.endsWith()`: to check if string starts with substring.\n- `std.mem.trim()`: to remove specific values from both start and end of the string.\n- `std.mem.concat()`: to concatenate strings together.\n- `std.mem.count()`: to count the occurrences of substring in the string.\n- `std.mem.replace()`: to replace the occurrences of substring in the string.\n\nNotice that all of these functions come from the `mem` module of\nthe Zig Standard Library. This module contains multiple functions and methods\nthat are useful to work with memory and sequences of bytes in general.\n\nThe `eql()` function is used to check if two arrays of data are equal or not.\nSince strings are just arbitrary arrays of bytes, we can use this function to compare two strings together.\nThis function returns a boolean value indicating if the two strings are equal\nor not. The first argument of this function is the data type of the elements of the arrays\nthat are being compared.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst name: []const u8 = \"Pedro\";\ntry stdout.print(\n \"{any}\\n\", .{std.mem.eql(u8, name, \"Pedro\")}\n);\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\ntrue\n```\n\n\n:::\n:::\n\n\n\n\nThe `splitScalar()` and `splitSequence()` functions are useful to split\na string into multiple fragments, like the `split()` method from Python strings. The difference between these two\nmethods is that the `splitScalar()` uses a single character as the separator to\nsplit the string, while `splitSequence()` uses a sequence of characters (a.k.a. a substring)\nas the separator. There is a practical example of these functions later in the book.\n\nThe `startsWith()` and `endsWith()` functions are pretty straightforward. They\nreturn a boolean value indicating if the string (or, more precisely, if the array of data)\nbegins (`startsWith`) or ends (`endsWith`) with the sequence provided.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst name: []const u8 = \"Pedro\";\ntry stdout.print(\n \"{any}\\n\", .{std.mem.startsWith(u8, name, \"Pe\")}\n);\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\ntrue\n```\n\n\n:::\n:::\n\n\n\n\nThe `concat()` function, as the name suggests, concatenate two or more strings together.\nBecause the process of concatenating the strings involves allocating enough space to\naccomodate all the strings together, this `concat()` function receives an allocator\nobject as input.\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst str1 = \"Hello\";\nconst str2 = \" you!\";\nconst str3 = try std.mem.concat(\n allocator, u8, &[_][]const u8{ str1, str2 }\n);\ntry stdout.print(\"{s}\\n\", .{str3});\n```\n:::\n\n\n\n\n```\nHello you!\n```\n\nAs you can imagine, the `replace()` function is used to replace substrings in a string by another substring.\nThis function works very similarly to the `replace()` method from Python strings. Therefore, you\nprovide a substring to search, and every time that the `replace()` function finds\nthis substring within the input string, it replaces this substring with the \"replacement substring\"\nthat you provided as input.\n\nIn the example below, we are taking the input string \"Hello\", and replacing all occurrences\nof the substring \"el\" inside this input string with \"34\", and saving the results inside the\n`buffer` object. As result, the `replace()` function returns an `usize` value that\nindicates how many replacements were performed.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst str1 = \"Hello\";\nvar buffer: [5]u8 = undefined;\nconst nrep = std.mem.replace(\n u8, str1, \"el\", \"34\", buffer[0..]\n);\ntry stdout.print(\"New string: {s}\\n\", .{buffer});\ntry stdout.print(\"N of replacements: {d}\\n\", .{nrep});\n```\n:::\n\n\n\n\n```\nNew string: H34lo\nN of replacements: 1\n```\n\n\n\n\n\n\n## Safety in Zig\n\nA general trend in modern low-level programming languages is safety. As our modern world\nbecome more interconnected with techology and computers,\nthe data produced by all of this technology becomes one of the most important\n(and also, one of the most dangerous) assets that we have.\n\nThis is probably the main reason why modern low-level programming languages\nhave been giving great attention to safety, specially memory safety, because\nmemory corruption is still the main target for hackers to exploit.\nThe reality is that we don't have an easy solution for this problem.\nFor now, we only have techniques and strategies that mitigates these\nproblems.\n\nAs Richard Feldman explains on his [most recent GOTO conference talk](https://www.youtube.com/watch?v=jIZpKpLCOiU&ab_channel=GOTOConferences)[^gotop]\n, we haven't figured it out yet a way to achieve **true safety in technology**.\nIn other words, we haven't found a way to build software that won't be exploited\nwith 100% certainty. We can greatly reduce the risks of our software being\nexploited, by ensuring memory safety for example. But this is not enough\nto achieve \"true safety\" territory.\n\nBecause even if you write your program in a \"safe language\", hackers can still\nexploit failures in the operational system where your program is running (e.g. maybe the\nsystem where your code is running have a \"backdoor exploit\" that can still\naffect your code in unexpected ways), or also, they can exploit the features\nfrom the architecture of your computer. A recently found exploit\nthat involves memory invalidation through a feature of \"memory tags\"\npresent in ARM chips is an example of that [@exploit1].\n\n[^gotop]: \n\nThe question is: what Zig and other languages have been doing to mitigate this problem?\nIf we take Rust as an example, Rust is, for the most part[^rust-safe], a memory safe\nlanguage by enforcing specific rules to the developer. In other words, the key feature\nof Rust, the *borrow checker*, forces you to follow a specific logic when you are writing\nyour Rust code, and the Rust compiler will always complain everytime you try to go out of this\npattern.\n\n[^rust-safe]: Actually, a lot of existing Rust code is still memory unsafe, because they communicate with external libraries through FFI (*foreign function interface*), which disables the borrow-checker features through the `unsafe` keyword.\n\n\nIn contrast, the Zig language is not a memory safe language by default.\nThere are some memory safety features that you get for free in Zig,\nspecially in arrays and pointer objects. But there are other tools\noffered by the language, that are not used by default.\nIn other words, the `zig` compiler does not obligates you to use such tools.\n\nThe tools listed below are related to memory safety. That is, they help you to achieve\nmemory safety in your Zig code:\n\n- `defer` allows you to keep free operations phisically close to allocations. This helps you to avoid memory leaks, \"use after free\", and also \"double-free\" problems. Furthermore, it also keeps free operations logically tied to the end of the current scope, which greatly reduces the mental overhead about object lifetime.\n- `errdefer` helps you to garantee that your program frees the allocated memory, even if a runtime error occurs.\n- pointers and objects are non-nullable by default. This helps you to avoid memory problems that might arise from de-referencing null pointers.\n- Zig offers some native types of allocators (called \"testing allocators\") that can detect memory leaks and double-frees. These types of allocators are widely used on unit tests, so they transform your unit tests into a weapon that you can use to detect memory problems in your code.\n- arrays and slices in Zig have their lengths embedded in the object itself, which makes the `zig` compiler very effective on detecting \"index out-of-range\" type of errors, and avoiding buffer overflows.\n\n\nDespite these features that Zig offers that are related to memory safety issues, the language\nalso have some rules that help you to achieve another type of safety, which is more related to\nprogram logic safety. These rules are:\n\n- pointers and objects are non-nullable by default. Which eliminates an edge case that might break the logic of your program.\n- switch statements must exaust all possible options.\n- the `zig` compiler forces you to handle every possible error in your program.\n\n\n## Other parts of Zig\n\nWe already learned a lot about Zig's syntax, and also, some pretty technical\ndetails about it. Just as a quick recap:\n\n- We talked about how functions are written in Zig at @sec-root-file and @sec-main-file.\n- How to create new objects/identifiers at @sec-root-file and specially at @sec-assignments.\n- How strings work in Zig at @sec-zig-strings.\n- How to use arrays and slices at @sec-arrays.\n- How to import functionality from other Zig modules at @sec-root-file.\n\n\nBut, for now, this amount of knowledge is enough for us to continue with this book.\nLater, over the next chapters we will still talk more about other parts of\nZig's syntax that are also equally important. Such as:\n\n\n- How Object-Oriented programming can be done in Zig through *struct declarations* at @sec-structs-and-oop.\n- Basic control flow syntax at @sec-zig-control-flow.\n- Enums at @sec-enum;\n- Pointers and Optionals at @sec-pointer;\n- Error handling with `try` and `catch` at @sec-error-handling;\n- Unit tests at @sec-unittests;\n- Vectors at @sec-vectors-simd;\n- Build System at @sec-build-system;\n\n\n\n\n", + "supporting": [ + "01-zig-weird_files" + ], "filters": [ "rmarkdown/pagebreak.lua" ], diff --git a/_freeze/Chapters/15-vectors/execute-results/html.json b/_freeze/Chapters/15-vectors/execute-results/html.json new file mode 100644 index 00000000..e73496b2 --- /dev/null +++ b/_freeze/Chapters/15-vectors/execute-results/html.json @@ -0,0 +1,15 @@ +{ + "hash": "116a4477721450b6aaaf7368c1ababb8", + "result": { + "engine": "knitr", + "markdown": "---\nengine: knitr\nknitr: true\nsyntax-definition: \"../Assets/zig.xml\"\n---\n\n\n\n\n\n\n\n\n\n\n# Introducing Vectors and SIMD {#sec-vectors-simd}\n\nIn this chapter, I'm going to discuss vectors in Zig, which are\nrelated to SIMD operations (i.e. they have no relationship with the `std::vector` class\nfrom C++).\n\n## What is SIMD?\n\nSIMD (*Single Instruction/Multiple Data*) is a group of operations that are widely used\non video/audio editing programs, and also in graphics applications. SIMD is not a new technology,\nbut the massive use of SIMD on normal desktop computers is somewhat recent. In the old days, SIMD\nwas only used on \"supercomputers models\".\n\nMost modern CPU models (from AMD, Intel, etc.) these days (either in a desktop or in a\nnotebook model) have support for SIMD operations. So, if you have a very old CPU model installed in your\ncomputer, then, is possible that you have no support for SIMD operations in your computer.\n\nWhy people have started using SIMD on their software? The answer is performance.\nBut what SIMD precisely do to achieve better performance? Well, in essence, SIMD operations are a different\nstrategy to get parallel computing in your program, and therefore, make faster calculations.\n\nThe basic idea behind SIMD is to have a single instruction that operates over multiple data\nat the same time. When you perform a normal scalar operation, like for example, four add instructions,\neach addition is performed separately, one after another. But with SIMD, these four add instructions\nare translated into a single instruction, and, as consequence, the four additions are performed\nin parallel, at the same time.\n\nCurrently, the following group of operators are allowed to use on vector objects. All of\nthese operators are applied element-wise and in parallel by default.\n\n- Arithmetic (`+`, `-`, `/`, `*`, `@divFloor()`, `@sqrt()`, `@ceil()`, `@log()`, etc.).\n- Bitwise operators (`>>`, `<<`, `&`, `|`, `~`, etc.).\n- Comparison operators (`<`, `>`, `==`, etc.).\n\n\n## Vectors {#sec-what-vectors}\n\nA SIMD operation is usually performed through a \"SIMD intrinsic\", which is just a fancy\nname for a function that performs a SIMD operation. These SIMD intrinsics (or \"SIMD functions\")\nalways operate over a special type of object, which are called \"vectors\". So,\nin order to use SIMD, you have to create a \"vector object\".\n\nA vector object is usually a fixed-sized block of 128 bits (16 bytes).\nAs consequence, most vectors that you find in the wild are essentially arrays that contains 2 values of 8 bytes each,\nor, 4 values of 4 bytes each, or, 8 values of 2 bytes each, etc.\nHowever, different CPU models may have different extensions (or, \"implementations\") of SIMD,\nwhich may offer more types of vector objects that are bigger in size (256 bits or 512 bits)\nto accomodate more data into a single vector object.\n\nYou can create a new vector object in Zig by using the `@Vector()` built-in function. Inside this function,\nyou specify the vector length (number of elements in the vector), and the data type of the elements\nof the vector. Only primitive data types are supported in these vector objects.\nIn the example below, I'm creating two vector objects (`v1` and `v2`) of 4 elements of type `u32` each.\n\nAlso notice in the example below, that a third vector object (`v3`) is created from the\nsum of the previous two vector objects (`v1` plus `v2`). Therefore,\nmath operations over vector objects take place element-wise by default, because\nthe same operation (in this case, addition) is transformed into a single instruction\nthat is replicated in parallel, across all elements of the vectors.\n\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst v1 = @Vector(4, u32){4, 12, 37, 9};\nconst v2 = @Vector(4, u32){10, 22, 5, 12};\nconst v3 = v1 + v2;\ntry stdout.print(\"{any}\\n\", .{v3});\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\n{ 14, 34, 42, 21 }\n```\n\n\n:::\n:::\n\n\n\n\n\nThis is how SIMD introduces more performance in your program. Instead of using a for loop\nto iterate through the elements of `v1` and `v2`, and adding them together, one element at a time,\nwe enjoy the benefits of SIMD, which performs all 4 additions in parallel, at the same time.\n\nTherefore, the `@Vector` structure in Zig is essentially, the Zig representation of SIMD vector objects.\nBut the elements on these vector objects will be operated in parallel, if, and only if your current CPU model\nsupports SIMD operations. If your CPU model does not support SIMD, then, the `@Vector` structure will\nlikely produce a similar performance from a \"for loop solution\".\n\n\n### Transforming arrays into vectors\n\nThere are different ways you can transform a normal array into a vector object.\nYou can either use implicit conversion (which is when you assign the array to\na vector object directly), or, use slices to create a vector object from a normal array.\n\nIn the example below, we implicitly convert the array `a1` into a vector object (`v1`)\nof length 4. All we had to do was to just explicitly annotate the data type of the vector object,\nand then, assign the array object to this vector object.\n\nAlso notice in the example below, that a second vector object (`v2`) is also created\nby taking a slice of the array object (`a1`), and then, storing the pointer to this\nslice (`.*`) into this vector object.\n\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst a1 = [4]u32{4, 12, 37, 9};\nconst v1: @Vector(4, u32) = a1;\nconst v2: @Vector(2, u32) = a1[1..3].*;\n_ = v1; _ = v2;\n```\n:::\n\n\n\n\n\n\nIs worth emphasizing that only arrays and slices whose sizes\nare compile-time known can be transformed into vectors. Vectors in general\nare structures that work only with compile-time known sizes. Therefore, if\nyou have an array whose size is runtime known, then, you first need to\ncopy it into an array with a compile-time known size, before transforming it into a vector.\n\n\n\n### The `@splat()` function\n\nYou can use the `@splat()` built-in function to create a vector object that is filled\nwith the same value across all of it's elements. This function was created to offer a quick\nand easy way to directly convert a scalar value (a.k.a. a single value, like a single character, or a single integer, etc.)\ninto a vector object.\n\nThus, we can use `@splat()` to convert a single value, like the integer `16` into a vector object\nof length 1. But we can also use this function to convert the same integer `16` into a\nvector object of length 10, that is filled with 10 `16` values. The example below demonstrates\nthis idea.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst v1: @Vector(10, u32) = @splat(16);\ntry stdout.print(\"{any}\\n\", .{v1});\n```\n\n\n::: {.cell-output .cell-output-stdout}\n\n```\n{ 16, 16, 16, 16, 16, 16, 16, 16, 16, 16 }\n```\n\n\n:::\n:::\n\n\n\n\n\n\n\n### Careful with vectors that are too big\n\nAs I described at @sec-what-vectors, each vector object is usually a small block of 128, 256 or 512 bits.\nThis means that a vector object is usually small in size, and when you try to go in the opposite direction,\nby creating a vector object in Zig that is very big in size (i.e. sizes that are close to $2^{20}$),\nyou usually end up with crashes and loud errors from the compiler.\n\nFor example, if you try to compile the program below, you will likely face segmentation faults, or, LLVM errors during\nthe build process. Just be careful to not create vector objects that are too big in size.\n\n\n\n\n\n::: {.cell}\n\n```{.zig .cell-code}\nconst v1: @Vector(1000000, u32) = @splat(16);\n_ = v1;\n```\n:::\n\n\n\n\n\n```\nSegmentation fault (core dumped)\n```\n\n\n\n\n", + "supporting": [], + "filters": [ + "rmarkdown/pagebreak.lua" + ], + "includes": {}, + "engineDependencies": {}, + "preserve": {}, + "postProcess": true + } +} \ No newline at end of file diff --git a/_freeze/Chapters/15-vectors/libs/bootstrap/bootstrap-icons.css b/_freeze/Chapters/15-vectors/libs/bootstrap/bootstrap-icons.css new file mode 100644 index 00000000..285e4448 --- /dev/null +++ b/_freeze/Chapters/15-vectors/libs/bootstrap/bootstrap-icons.css @@ -0,0 +1,2078 @@ +/*! + * Bootstrap Icons v1.11.1 (https://icons.getbootstrap.com/) + * Copyright 2019-2023 The Bootstrap Authors + * Licensed under MIT (https://github.com/twbs/icons/blob/main/LICENSE) + */ + +@font-face { + font-display: block; + font-family: "bootstrap-icons"; + src: 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.offcanvas{position:static;z-index:auto;flex-grow:1;-webkit-flex-grow:1;width:auto !important;height:auto !important;visibility:visible !important;background-color:rgba(0,0,0,0) !important;border:0 !important;transform:none !important;transition:none}.navbar-expand-xxl .offcanvas .offcanvas-header{display:none}.navbar-expand-xxl .offcanvas .offcanvas-body{display:flex;display:-webkit-flex;flex-grow:0;-webkit-flex-grow:0;padding:0;overflow-y:visible}}.navbar-expand{flex-wrap:nowrap;-webkit-flex-wrap:nowrap;justify-content:flex-start;-webkit-justify-content:flex-start}.navbar-expand .navbar-nav{flex-direction:row;-webkit-flex-direction:row}.navbar-expand .navbar-nav .dropdown-menu{position:absolute}.navbar-expand .navbar-nav .nav-link{padding-right:var(--bs-navbar-nav-link-padding-x);padding-left:var(--bs-navbar-nav-link-padding-x)}.navbar-expand .navbar-nav-scroll{overflow:visible}.navbar-expand .navbar-collapse{display:flex !important;display:-webkit-flex 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30'%3e%3cpath stroke='%23fdfefe' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/%3e%3c/svg%3e")}[data-bs-theme=dark] .navbar-toggler-icon{--bs-navbar-toggler-icon-bg: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 30 30'%3e%3cpath stroke='%23fdfefe' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/%3e%3c/svg%3e")}.card{--bs-card-spacer-y: 1rem;--bs-card-spacer-x: 1rem;--bs-card-title-spacer-y: 0.5rem;--bs-card-title-color: ;--bs-card-subtitle-color: ;--bs-card-border-width: 1px;--bs-card-border-color: rgba(0, 0, 0, 0.175);--bs-card-border-radius: 0.375rem;--bs-card-box-shadow: ;--bs-card-inner-border-radius: calc(0.375rem - 1px);--bs-card-cap-padding-y: 0.5rem;--bs-card-cap-padding-x: 1rem;--bs-card-cap-bg: rgba(33, 37, 41, 0.03);--bs-card-cap-color: ;--bs-card-height: ;--bs-card-color: ;--bs-card-bg: #ffffff;--bs-card-img-overlay-padding: 1rem;--bs-card-group-margin: 0.75rem;position:relative;display:flex;display:-webkit-flex;flex-direction:column;-webkit-flex-direction:column;min-width:0;height:var(--bs-card-height);color:var(--bs-body-color);word-wrap:break-word;background-color:var(--bs-card-bg);background-clip:border-box;border:var(--bs-card-border-width) solid var(--bs-card-border-color);border-radius:var(--bs-card-border-radius)}.card>hr{margin-right:0;margin-left:0}.card>.list-group{border-top:inherit;border-bottom:inherit}.card>.list-group:first-child{border-top-width:0;border-top-left-radius:var(--bs-card-inner-border-radius);border-top-right-radius:var(--bs-card-inner-border-radius)}.card>.list-group:last-child{border-bottom-width:0;border-bottom-right-radius:var(--bs-card-inner-border-radius);border-bottom-left-radius:var(--bs-card-inner-border-radius)}.card>.card-header+.list-group,.card>.list-group+.card-footer{border-top:0}.card-body{flex:1 1 auto;-webkit-flex:1 1 auto;padding:var(--bs-card-spacer-y) var(--bs-card-spacer-x);color:var(--bs-card-color)}.card-title{margin-bottom:var(--bs-card-title-spacer-y);color:var(--bs-card-title-color)}.card-subtitle{margin-top:calc(-0.5*var(--bs-card-title-spacer-y));margin-bottom:0;color:var(--bs-card-subtitle-color)}.card-text:last-child{margin-bottom:0}.card-link+.card-link{margin-left:var(--bs-card-spacer-x)}.card-header{padding:var(--bs-card-cap-padding-y) var(--bs-card-cap-padding-x);margin-bottom:0;color:var(--bs-card-cap-color);background-color:var(--bs-card-cap-bg);border-bottom:var(--bs-card-border-width) solid var(--bs-card-border-color)}.card-header:first-child{border-radius:var(--bs-card-inner-border-radius) var(--bs-card-inner-border-radius) 0 0}.card-footer{padding:var(--bs-card-cap-padding-y) var(--bs-card-cap-padding-x);color:var(--bs-card-cap-color);background-color:var(--bs-card-cap-bg);border-top:var(--bs-card-border-width) solid var(--bs-card-border-color)}.card-footer:last-child{border-radius:0 0 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.nav-link.active{background-color:var(--bs-card-bg);border-bottom-color:var(--bs-card-bg)}.card-header-pills{margin-right:calc(-0.5*var(--bs-card-cap-padding-x));margin-left:calc(-0.5*var(--bs-card-cap-padding-x))}.card-img-overlay{position:absolute;top:0;right:0;bottom:0;left:0;padding:var(--bs-card-img-overlay-padding);border-radius:var(--bs-card-inner-border-radius)}.card-img,.card-img-top,.card-img-bottom{width:100%}.card-img,.card-img-top{border-top-left-radius:var(--bs-card-inner-border-radius);border-top-right-radius:var(--bs-card-inner-border-radius)}.card-img,.card-img-bottom{border-bottom-right-radius:var(--bs-card-inner-border-radius);border-bottom-left-radius:var(--bs-card-inner-border-radius)}.card-group>.card{margin-bottom:var(--bs-card-group-margin)}@media(min-width: 576px){.card-group{display:flex;display:-webkit-flex;flex-flow:row wrap;-webkit-flex-flow:row wrap}.card-group>.card{flex:1 0 0%;-webkit-flex:1 0 0%;margin-bottom:0}.card-group>.card+.card{margin-left:0;border-left:0}.card-group>.card:not(:last-child){border-top-right-radius:0;border-bottom-right-radius:0}.card-group>.card:not(:last-child) .card-img-top,.card-group>.card:not(:last-child) .card-header{border-top-right-radius:0}.card-group>.card:not(:last-child) .card-img-bottom,.card-group>.card:not(:last-child) .card-footer{border-bottom-right-radius:0}.card-group>.card:not(:first-child){border-top-left-radius:0;border-bottom-left-radius:0}.card-group>.card:not(:first-child) .card-img-top,.card-group>.card:not(:first-child) .card-header{border-top-left-radius:0}.card-group>.card:not(:first-child) .card-img-bottom,.card-group>.card:not(:first-child) .card-footer{border-bottom-left-radius:0}}.accordion{--bs-accordion-color: #212529;--bs-accordion-bg: #ffffff;--bs-accordion-transition: color 0.15s ease-in-out, background-color 0.15s ease-in-out, border-color 0.15s ease-in-out, box-shadow 0.15s ease-in-out, border-radius 0.15s ease;--bs-accordion-border-color: #dee2e6;--bs-accordion-border-width: 1px;--bs-accordion-border-radius: 0.375rem;--bs-accordion-inner-border-radius: calc(0.375rem - 1px);--bs-accordion-btn-padding-x: 1.25rem;--bs-accordion-btn-padding-y: 1rem;--bs-accordion-btn-color: #212529;--bs-accordion-btn-bg: #ffffff;--bs-accordion-btn-icon: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%23212529'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e");--bs-accordion-btn-icon-width: 1.25rem;--bs-accordion-btn-icon-transform: rotate(-180deg);--bs-accordion-btn-icon-transition: transform 0.2s ease-in-out;--bs-accordion-btn-active-icon: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%23052c65'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e");--bs-accordion-btn-focus-border-color: #86b7fe;--bs-accordion-btn-focus-box-shadow: 0 0 0 0.25rem rgba(13, 110, 253, 0.25);--bs-accordion-body-padding-x: 1.25rem;--bs-accordion-body-padding-y: 1rem;--bs-accordion-active-color: #052c65;--bs-accordion-active-bg: #cfe2ff}.accordion-button{position:relative;display:flex;display:-webkit-flex;align-items:center;-webkit-align-items:center;width:100%;padding:var(--bs-accordion-btn-padding-y) var(--bs-accordion-btn-padding-x);font-size:1rem;color:var(--bs-accordion-btn-color);text-align:left;background-color:var(--bs-accordion-btn-bg);border:0;border-radius:0;overflow-anchor:none;transition:var(--bs-accordion-transition)}@media(prefers-reduced-motion: reduce){.accordion-button{transition:none}}.accordion-button:not(.collapsed){color:var(--bs-accordion-active-color);background-color:var(--bs-accordion-active-bg);box-shadow:inset 0 calc(-1*var(--bs-accordion-border-width)) 0 var(--bs-accordion-border-color)}.accordion-button:not(.collapsed)::after{background-image:var(--bs-accordion-btn-active-icon);transform:var(--bs-accordion-btn-icon-transform)}.accordion-button::after{flex-shrink:0;-webkit-flex-shrink:0;width:var(--bs-accordion-btn-icon-width);height:var(--bs-accordion-btn-icon-width);margin-left:auto;content:"";background-image:var(--bs-accordion-btn-icon);background-repeat:no-repeat;background-size:var(--bs-accordion-btn-icon-width);transition:var(--bs-accordion-btn-icon-transition)}@media(prefers-reduced-motion: reduce){.accordion-button::after{transition:none}}.accordion-button:hover{z-index:2}.accordion-button:focus{z-index:3;border-color:var(--bs-accordion-btn-focus-border-color);outline:0;box-shadow:var(--bs-accordion-btn-focus-box-shadow)}.accordion-header{margin-bottom:0}.accordion-item{color:var(--bs-accordion-color);background-color:var(--bs-accordion-bg);border:var(--bs-accordion-border-width) solid var(--bs-accordion-border-color)}.accordion-item:first-of-type{border-top-left-radius:var(--bs-accordion-border-radius);border-top-right-radius:var(--bs-accordion-border-radius)}.accordion-item:first-of-type .accordion-button{border-top-left-radius:var(--bs-accordion-inner-border-radius);border-top-right-radius:var(--bs-accordion-inner-border-radius)}.accordion-item:not(:first-of-type){border-top:0}.accordion-item:last-of-type{border-bottom-right-radius:var(--bs-accordion-border-radius);border-bottom-left-radius:var(--bs-accordion-border-radius)}.accordion-item:last-of-type .accordion-button.collapsed{border-bottom-right-radius:var(--bs-accordion-inner-border-radius);border-bottom-left-radius:var(--bs-accordion-inner-border-radius)}.accordion-item:last-of-type .accordion-collapse{border-bottom-right-radius:var(--bs-accordion-border-radius);border-bottom-left-radius:var(--bs-accordion-border-radius)}.accordion-body{padding:var(--bs-accordion-body-padding-y) var(--bs-accordion-body-padding-x)}.accordion-flush .accordion-collapse{border-width:0}.accordion-flush .accordion-item{border-right:0;border-left:0;border-radius:0}.accordion-flush .accordion-item:first-child{border-top:0}.accordion-flush .accordion-item:last-child{border-bottom:0}.accordion-flush .accordion-item .accordion-button,.accordion-flush .accordion-item .accordion-button.collapsed{border-radius:0}[data-bs-theme=dark] .accordion-button::after{--bs-accordion-btn-icon: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%236ea8fe'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e");--bs-accordion-btn-active-icon: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%236ea8fe'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e")}.breadcrumb{--bs-breadcrumb-padding-x: 0;--bs-breadcrumb-padding-y: 0;--bs-breadcrumb-margin-bottom: 1rem;--bs-breadcrumb-bg: ;--bs-breadcrumb-border-radius: ;--bs-breadcrumb-divider-color: rgba(33, 37, 41, 0.75);--bs-breadcrumb-item-padding-x: 0.5rem;--bs-breadcrumb-item-active-color: rgba(33, 37, 41, 0.75);display:flex;display:-webkit-flex;flex-wrap:wrap;-webkit-flex-wrap:wrap;padding:var(--bs-breadcrumb-padding-y) var(--bs-breadcrumb-padding-x);margin-bottom:var(--bs-breadcrumb-margin-bottom);font-size:var(--bs-breadcrumb-font-size);list-style:none;background-color:var(--bs-breadcrumb-bg);border-radius:var(--bs-breadcrumb-border-radius)}.breadcrumb-item+.breadcrumb-item{padding-left:var(--bs-breadcrumb-item-padding-x)}.breadcrumb-item+.breadcrumb-item::before{float:left;padding-right:var(--bs-breadcrumb-item-padding-x);color:var(--bs-breadcrumb-divider-color);content:var(--bs-breadcrumb-divider, ">") /* rtl: var(--bs-breadcrumb-divider, ">") */}.breadcrumb-item.active{color:var(--bs-breadcrumb-item-active-color)}.pagination{--bs-pagination-padding-x: 0.75rem;--bs-pagination-padding-y: 0.375rem;--bs-pagination-font-size:1rem;--bs-pagination-color: #0d6efd;--bs-pagination-bg: #ffffff;--bs-pagination-border-width: 1px;--bs-pagination-border-color: #dee2e6;--bs-pagination-border-radius: 0.375rem;--bs-pagination-hover-color: #0a58ca;--bs-pagination-hover-bg: #f8f9fa;--bs-pagination-hover-border-color: #dee2e6;--bs-pagination-focus-color: #0a58ca;--bs-pagination-focus-bg: #e9ecef;--bs-pagination-focus-box-shadow: 0 0 0 0.25rem rgba(13, 110, 253, 0.25);--bs-pagination-active-color: #ffffff;--bs-pagination-active-bg: #0d6efd;--bs-pagination-active-border-color: #0d6efd;--bs-pagination-disabled-color: rgba(33, 37, 41, 0.75);--bs-pagination-disabled-bg: #e9ecef;--bs-pagination-disabled-border-color: #dee2e6;display:flex;display:-webkit-flex;padding-left:0;list-style:none}.page-link{position:relative;display:block;padding:var(--bs-pagination-padding-y) var(--bs-pagination-padding-x);font-size:var(--bs-pagination-font-size);color:var(--bs-pagination-color);text-decoration:none;-webkit-text-decoration:none;-moz-text-decoration:none;-ms-text-decoration:none;-o-text-decoration:none;background-color:var(--bs-pagination-bg);border:var(--bs-pagination-border-width) solid var(--bs-pagination-border-color);transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out}@media(prefers-reduced-motion: reduce){.page-link{transition:none}}.page-link:hover{z-index:2;color:var(--bs-pagination-hover-color);background-color:var(--bs-pagination-hover-bg);border-color:var(--bs-pagination-hover-border-color)}.page-link:focus{z-index:3;color:var(--bs-pagination-focus-color);background-color:var(--bs-pagination-focus-bg);outline:0;box-shadow:var(--bs-pagination-focus-box-shadow)}.page-link.active,.active>.page-link{z-index:3;color:var(--bs-pagination-active-color);background-color:var(--bs-pagination-active-bg);border-color:var(--bs-pagination-active-border-color)}.page-link.disabled,.disabled>.page-link{color:var(--bs-pagination-disabled-color);pointer-events:none;background-color:var(--bs-pagination-disabled-bg);border-color:var(--bs-pagination-disabled-border-color)}.page-item:not(:first-child) .page-link{margin-left:calc(1px*-1)}.page-item:first-child .page-link{border-top-left-radius:var(--bs-pagination-border-radius);border-bottom-left-radius:var(--bs-pagination-border-radius)}.page-item:last-child .page-link{border-top-right-radius:var(--bs-pagination-border-radius);border-bottom-right-radius:var(--bs-pagination-border-radius)}.pagination-lg{--bs-pagination-padding-x: 1.5rem;--bs-pagination-padding-y: 0.75rem;--bs-pagination-font-size:1.25rem;--bs-pagination-border-radius: 0.5rem}.pagination-sm{--bs-pagination-padding-x: 0.5rem;--bs-pagination-padding-y: 0.25rem;--bs-pagination-font-size:0.875rem;--bs-pagination-border-radius: 0.25rem}.badge{--bs-badge-padding-x: 0.65em;--bs-badge-padding-y: 0.35em;--bs-badge-font-size:0.75em;--bs-badge-font-weight: 700;--bs-badge-color: #ffffff;--bs-badge-border-radius: 0.375rem;display:inline-block;padding:var(--bs-badge-padding-y) var(--bs-badge-padding-x);font-size:var(--bs-badge-font-size);font-weight:var(--bs-badge-font-weight);line-height:1;color:var(--bs-badge-color);text-align:center;white-space:nowrap;vertical-align:baseline;border-radius:var(--bs-badge-border-radius)}.badge:empty{display:none}.btn .badge{position:relative;top:-1px}.alert{--bs-alert-bg: transparent;--bs-alert-padding-x: 1rem;--bs-alert-padding-y: 1rem;--bs-alert-margin-bottom: 1rem;--bs-alert-color: inherit;--bs-alert-border-color: transparent;--bs-alert-border: 1px solid var(--bs-alert-border-color);--bs-alert-border-radius: 0.375rem;--bs-alert-link-color: inherit;position:relative;padding:var(--bs-alert-padding-y) var(--bs-alert-padding-x);margin-bottom:var(--bs-alert-margin-bottom);color:var(--bs-alert-color);background-color:var(--bs-alert-bg);border:var(--bs-alert-border);border-radius:var(--bs-alert-border-radius)}.alert-heading{color:inherit}.alert-link{font-weight:700;color:var(--bs-alert-link-color)}.alert-dismissible{padding-right:3rem}.alert-dismissible .btn-close{position:absolute;top:0;right:0;z-index:2;padding:1.25rem 1rem}.alert-default{--bs-alert-color: var(--bs-default-text-emphasis);--bs-alert-bg: var(--bs-default-bg-subtle);--bs-alert-border-color: var(--bs-default-border-subtle);--bs-alert-link-color: var(--bs-default-text-emphasis)}.alert-primary{--bs-alert-color: var(--bs-primary-text-emphasis);--bs-alert-bg: var(--bs-primary-bg-subtle);--bs-alert-border-color: var(--bs-primary-border-subtle);--bs-alert-link-color: var(--bs-primary-text-emphasis)}.alert-secondary{--bs-alert-color: var(--bs-secondary-text-emphasis);--bs-alert-bg: var(--bs-secondary-bg-subtle);--bs-alert-border-color: var(--bs-secondary-border-subtle);--bs-alert-link-color: var(--bs-secondary-text-emphasis)}.alert-success{--bs-alert-color: var(--bs-success-text-emphasis);--bs-alert-bg: var(--bs-success-bg-subtle);--bs-alert-border-color: var(--bs-success-border-subtle);--bs-alert-link-color: var(--bs-success-text-emphasis)}.alert-info{--bs-alert-color: var(--bs-info-text-emphasis);--bs-alert-bg: var(--bs-info-bg-subtle);--bs-alert-border-color: var(--bs-info-border-subtle);--bs-alert-link-color: var(--bs-info-text-emphasis)}.alert-warning{--bs-alert-color: var(--bs-warning-text-emphasis);--bs-alert-bg: var(--bs-warning-bg-subtle);--bs-alert-border-color: var(--bs-warning-border-subtle);--bs-alert-link-color: var(--bs-warning-text-emphasis)}.alert-danger{--bs-alert-color: var(--bs-danger-text-emphasis);--bs-alert-bg: var(--bs-danger-bg-subtle);--bs-alert-border-color: var(--bs-danger-border-subtle);--bs-alert-link-color: var(--bs-danger-text-emphasis)}.alert-light{--bs-alert-color: var(--bs-light-text-emphasis);--bs-alert-bg: var(--bs-light-bg-subtle);--bs-alert-border-color: var(--bs-light-border-subtle);--bs-alert-link-color: var(--bs-light-text-emphasis)}.alert-dark{--bs-alert-color: var(--bs-dark-text-emphasis);--bs-alert-bg: var(--bs-dark-bg-subtle);--bs-alert-border-color: var(--bs-dark-border-subtle);--bs-alert-link-color: var(--bs-dark-text-emphasis)}@keyframes progress-bar-stripes{0%{background-position-x:1rem}}.progress,.progress-stacked{--bs-progress-height: 1rem;--bs-progress-font-size:0.75rem;--bs-progress-bg: #e9ecef;--bs-progress-border-radius: 0.375rem;--bs-progress-box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.075);--bs-progress-bar-color: #ffffff;--bs-progress-bar-bg: #0d6efd;--bs-progress-bar-transition: width 0.6s ease;display:flex;display:-webkit-flex;height:var(--bs-progress-height);overflow:hidden;font-size:var(--bs-progress-font-size);background-color:var(--bs-progress-bg);border-radius:var(--bs-progress-border-radius)}.progress-bar{display:flex;display:-webkit-flex;flex-direction:column;-webkit-flex-direction:column;justify-content:center;-webkit-justify-content:center;overflow:hidden;color:var(--bs-progress-bar-color);text-align:center;white-space:nowrap;background-color:var(--bs-progress-bar-bg);transition:var(--bs-progress-bar-transition)}@media(prefers-reduced-motion: reduce){.progress-bar{transition:none}}.progress-bar-striped{background-image:linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);background-size:var(--bs-progress-height) var(--bs-progress-height)}.progress-stacked>.progress{overflow:visible}.progress-stacked>.progress>.progress-bar{width:100%}.progress-bar-animated{animation:1s linear infinite progress-bar-stripes}@media(prefers-reduced-motion: reduce){.progress-bar-animated{animation:none}}.list-group{--bs-list-group-color: #212529;--bs-list-group-bg: #ffffff;--bs-list-group-border-color: #dee2e6;--bs-list-group-border-width: 1px;--bs-list-group-border-radius: 0.375rem;--bs-list-group-item-padding-x: 1rem;--bs-list-group-item-padding-y: 0.5rem;--bs-list-group-action-color: rgba(33, 37, 41, 0.75);--bs-list-group-action-hover-color: #000;--bs-list-group-action-hover-bg: #f8f9fa;--bs-list-group-action-active-color: #212529;--bs-list-group-action-active-bg: #e9ecef;--bs-list-group-disabled-color: rgba(33, 37, 41, 0.75);--bs-list-group-disabled-bg: #ffffff;--bs-list-group-active-color: #ffffff;--bs-list-group-active-bg: #0d6efd;--bs-list-group-active-border-color: 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";counter-increment:section}.list-group-item-action{width:100%;color:var(--bs-list-group-action-color);text-align:inherit}.list-group-item-action:hover,.list-group-item-action:focus{z-index:1;color:var(--bs-list-group-action-hover-color);text-decoration:none;background-color:var(--bs-list-group-action-hover-bg)}.list-group-item-action:active{color:var(--bs-list-group-action-active-color);background-color:var(--bs-list-group-action-active-bg)}.list-group-item{position:relative;display:block;padding:var(--bs-list-group-item-padding-y) var(--bs-list-group-item-padding-x);color:var(--bs-list-group-color);text-decoration:none;-webkit-text-decoration:none;-moz-text-decoration:none;-ms-text-decoration:none;-o-text-decoration:none;background-color:var(--bs-list-group-bg);border:var(--bs-list-group-border-width) solid var(--bs-list-group-border-color)}.list-group-item:first-child{border-top-left-radius:inherit;border-top-right-radius:inherit}.list-group-item:last-child{border-bottom-right-radius:inherit;border-bottom-left-radius:inherit}.list-group-item.disabled,.list-group-item:disabled{color:var(--bs-list-group-disabled-color);pointer-events:none;background-color:var(--bs-list-group-disabled-bg)}.list-group-item.active{z-index:2;color:var(--bs-list-group-active-color);background-color:var(--bs-list-group-active-bg);border-color:var(--bs-list-group-active-border-color)}.list-group-item+.list-group-item{border-top-width:0}.list-group-item+.list-group-item.active{margin-top:calc(-1*var(--bs-list-group-border-width));border-top-width:var(--bs-list-group-border-width)}.list-group-horizontal{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal>.list-group-item.active{margin-top:0}.list-group-horizontal>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal>.list-group-item+.list-group-item.active{margin-left:calc(-1*var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}@media(min-width: 576px){.list-group-horizontal-sm{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-sm>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-sm>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-sm>.list-group-item.active{margin-top:0}.list-group-horizontal-sm>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-sm>.list-group-item+.list-group-item.active{margin-left:calc(-1*var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media(min-width: 768px){.list-group-horizontal-md{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-md>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-md>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-md>.list-group-item.active{margin-top:0}.list-group-horizontal-md>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-md>.list-group-item+.list-group-item.active{margin-left:calc(-1*var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media(min-width: 992px){.list-group-horizontal-lg{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-lg>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-lg>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-lg>.list-group-item.active{margin-top:0}.list-group-horizontal-lg>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-lg>.list-group-item+.list-group-item.active{margin-left:calc(-1*var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media(min-width: 1200px){.list-group-horizontal-xl{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-xl>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-xl>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-xl>.list-group-item.active{margin-top:0}.list-group-horizontal-xl>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-xl>.list-group-item+.list-group-item.active{margin-left:calc(-1*var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media(min-width: 1400px){.list-group-horizontal-xxl{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-xxl>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-xxl>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-xxl>.list-group-item.active{margin-top:0}.list-group-horizontal-xxl>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-xxl>.list-group-item+.list-group-item.active{margin-left:calc(-1*var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}.list-group-flush{border-radius:0}.list-group-flush>.list-group-item{border-width:0 0 var(--bs-list-group-border-width)}.list-group-flush>.list-group-item:last-child{border-bottom-width:0}.list-group-item-default{--bs-list-group-color: var(--bs-default-text-emphasis);--bs-list-group-bg: var(--bs-default-bg-subtle);--bs-list-group-border-color: var(--bs-default-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-default-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-default-border-subtle);--bs-list-group-active-color: var(--bs-default-bg-subtle);--bs-list-group-active-bg: var(--bs-default-text-emphasis);--bs-list-group-active-border-color: var(--bs-default-text-emphasis)}.list-group-item-primary{--bs-list-group-color: var(--bs-primary-text-emphasis);--bs-list-group-bg: var(--bs-primary-bg-subtle);--bs-list-group-border-color: var(--bs-primary-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-primary-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-primary-border-subtle);--bs-list-group-active-color: var(--bs-primary-bg-subtle);--bs-list-group-active-bg: var(--bs-primary-text-emphasis);--bs-list-group-active-border-color: var(--bs-primary-text-emphasis)}.list-group-item-secondary{--bs-list-group-color: var(--bs-secondary-text-emphasis);--bs-list-group-bg: var(--bs-secondary-bg-subtle);--bs-list-group-border-color: var(--bs-secondary-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-secondary-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-secondary-border-subtle);--bs-list-group-active-color: var(--bs-secondary-bg-subtle);--bs-list-group-active-bg: var(--bs-secondary-text-emphasis);--bs-list-group-active-border-color: var(--bs-secondary-text-emphasis)}.list-group-item-success{--bs-list-group-color: var(--bs-success-text-emphasis);--bs-list-group-bg: var(--bs-success-bg-subtle);--bs-list-group-border-color: var(--bs-success-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-success-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-success-border-subtle);--bs-list-group-active-color: var(--bs-success-bg-subtle);--bs-list-group-active-bg: var(--bs-success-text-emphasis);--bs-list-group-active-border-color: var(--bs-success-text-emphasis)}.list-group-item-info{--bs-list-group-color: var(--bs-info-text-emphasis);--bs-list-group-bg: var(--bs-info-bg-subtle);--bs-list-group-border-color: var(--bs-info-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-info-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-info-border-subtle);--bs-list-group-active-color: var(--bs-info-bg-subtle);--bs-list-group-active-bg: var(--bs-info-text-emphasis);--bs-list-group-active-border-color: var(--bs-info-text-emphasis)}.list-group-item-warning{--bs-list-group-color: var(--bs-warning-text-emphasis);--bs-list-group-bg: var(--bs-warning-bg-subtle);--bs-list-group-border-color: var(--bs-warning-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-warning-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-warning-border-subtle);--bs-list-group-active-color: var(--bs-warning-bg-subtle);--bs-list-group-active-bg: var(--bs-warning-text-emphasis);--bs-list-group-active-border-color: var(--bs-warning-text-emphasis)}.list-group-item-danger{--bs-list-group-color: var(--bs-danger-text-emphasis);--bs-list-group-bg: var(--bs-danger-bg-subtle);--bs-list-group-border-color: var(--bs-danger-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-danger-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-danger-border-subtle);--bs-list-group-active-color: var(--bs-danger-bg-subtle);--bs-list-group-active-bg: var(--bs-danger-text-emphasis);--bs-list-group-active-border-color: var(--bs-danger-text-emphasis)}.list-group-item-light{--bs-list-group-color: var(--bs-light-text-emphasis);--bs-list-group-bg: var(--bs-light-bg-subtle);--bs-list-group-border-color: var(--bs-light-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-light-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-light-border-subtle);--bs-list-group-active-color: var(--bs-light-bg-subtle);--bs-list-group-active-bg: var(--bs-light-text-emphasis);--bs-list-group-active-border-color: var(--bs-light-text-emphasis)}.list-group-item-dark{--bs-list-group-color: var(--bs-dark-text-emphasis);--bs-list-group-bg: var(--bs-dark-bg-subtle);--bs-list-group-border-color: var(--bs-dark-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-dark-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-dark-border-subtle);--bs-list-group-active-color: var(--bs-dark-bg-subtle);--bs-list-group-active-bg: var(--bs-dark-text-emphasis);--bs-list-group-active-border-color: var(--bs-dark-text-emphasis)}.btn-close{--bs-btn-close-color: #000;--bs-btn-close-bg: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%23000'%3e%3cpath d='M.293.293a1 1 0 0 1 1.414 0L8 6.586 14.293.293a1 1 0 1 1 1.414 1.414L9.414 8l6.293 6.293a1 1 0 0 1-1.414 1.414L8 9.414l-6.293 6.293a1 1 0 0 1-1.414-1.414L6.586 8 .293 1.707a1 1 0 0 1 0-1.414z'/%3e%3c/svg%3e");--bs-btn-close-opacity: 0.5;--bs-btn-close-hover-opacity: 0.75;--bs-btn-close-focus-shadow: 0 0 0 0.25rem rgba(13, 110, 253, 0.25);--bs-btn-close-focus-opacity: 1;--bs-btn-close-disabled-opacity: 0.25;--bs-btn-close-white-filter: invert(1) grayscale(100%) brightness(200%);box-sizing:content-box;width:1em;height:1em;padding:.25em .25em;color:var(--bs-btn-close-color);background:rgba(0,0,0,0) var(--bs-btn-close-bg) center/1em auto no-repeat;border:0;border-radius:.375rem;opacity:var(--bs-btn-close-opacity)}.btn-close:hover{color:var(--bs-btn-close-color);text-decoration:none;opacity:var(--bs-btn-close-hover-opacity)}.btn-close:focus{outline:0;box-shadow:var(--bs-btn-close-focus-shadow);opacity:var(--bs-btn-close-focus-opacity)}.btn-close:disabled,.btn-close.disabled{pointer-events:none;user-select:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;-o-user-select:none;opacity:var(--bs-btn-close-disabled-opacity)}.btn-close-white{filter:var(--bs-btn-close-white-filter)}[data-bs-theme=dark] .btn-close{filter:var(--bs-btn-close-white-filter)}.toast{--bs-toast-zindex: 1090;--bs-toast-padding-x: 0.75rem;--bs-toast-padding-y: 0.5rem;--bs-toast-spacing: 1.5rem;--bs-toast-max-width: 350px;--bs-toast-font-size:0.875rem;--bs-toast-color: ;--bs-toast-bg: rgba(255, 255, 255, 0.85);--bs-toast-border-width: 1px;--bs-toast-border-color: rgba(0, 0, 0, 0.175);--bs-toast-border-radius: 0.375rem;--bs-toast-box-shadow: 0 0.5rem 1rem rgba(0, 0, 0, 0.15);--bs-toast-header-color: rgba(33, 37, 41, 0.75);--bs-toast-header-bg: rgba(255, 255, 255, 0.85);--bs-toast-header-border-color: rgba(0, 0, 0, 0.175);width:var(--bs-toast-max-width);max-width:100%;font-size:var(--bs-toast-font-size);color:var(--bs-toast-color);pointer-events:auto;background-color:var(--bs-toast-bg);background-clip:padding-box;border:var(--bs-toast-border-width) solid var(--bs-toast-border-color);box-shadow:var(--bs-toast-box-shadow);border-radius:var(--bs-toast-border-radius)}.toast.showing{opacity:0}.toast:not(.show){display:none}.toast-container{--bs-toast-zindex: 1090;position:absolute;z-index:var(--bs-toast-zindex);width:max-content;width:-webkit-max-content;width:-moz-max-content;width:-ms-max-content;width:-o-max-content;max-width:100%;pointer-events:none}.toast-container>:not(:last-child){margin-bottom:var(--bs-toast-spacing)}.toast-header{display:flex;display:-webkit-flex;align-items:center;-webkit-align-items:center;padding:var(--bs-toast-padding-y) var(--bs-toast-padding-x);color:var(--bs-toast-header-color);background-color:var(--bs-toast-header-bg);background-clip:padding-box;border-bottom:var(--bs-toast-border-width) solid var(--bs-toast-header-border-color);border-top-left-radius:calc(var(--bs-toast-border-radius) - var(--bs-toast-border-width));border-top-right-radius:calc(var(--bs-toast-border-radius) - var(--bs-toast-border-width))}.toast-header .btn-close{margin-right:calc(-0.5*var(--bs-toast-padding-x));margin-left:var(--bs-toast-padding-x)}.toast-body{padding:var(--bs-toast-padding-x);word-wrap:break-word}.modal{--bs-modal-zindex: 1055;--bs-modal-width: 500px;--bs-modal-padding: 1rem;--bs-modal-margin: 0.5rem;--bs-modal-color: ;--bs-modal-bg: #ffffff;--bs-modal-border-color: rgba(0, 0, 0, 0.175);--bs-modal-border-width: 1px;--bs-modal-border-radius: 0.5rem;--bs-modal-box-shadow: 0 0.125rem 0.25rem rgba(0, 0, 0, 0.075);--bs-modal-inner-border-radius: calc(0.5rem - 1px);--bs-modal-header-padding-x: 1rem;--bs-modal-header-padding-y: 1rem;--bs-modal-header-padding: 1rem 1rem;--bs-modal-header-border-color: #dee2e6;--bs-modal-header-border-width: 1px;--bs-modal-title-line-height: 1.5;--bs-modal-footer-gap: 0.5rem;--bs-modal-footer-bg: ;--bs-modal-footer-border-color: #dee2e6;--bs-modal-footer-border-width: 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#6c757d;--bslib-color-fg: #ffffff}.text-success{--bslib-color-fg: #198754}.bg-success{--bslib-color-bg: #198754;--bslib-color-fg: #ffffff}.text-info{--bslib-color-fg: #0dcaf0}.bg-info{--bslib-color-bg: #0dcaf0;--bslib-color-fg: #000}.text-warning{--bslib-color-fg: #ffc107}.bg-warning{--bslib-color-bg: #ffc107;--bslib-color-fg: #000}.text-danger{--bslib-color-fg: #dc3545}.bg-danger{--bslib-color-bg: #dc3545;--bslib-color-fg: #ffffff}.text-light{--bslib-color-fg: #f8f9fa}.bg-light{--bslib-color-bg: #f8f9fa;--bslib-color-fg: #000}.text-dark{--bslib-color-fg: #212529}.bg-dark{--bslib-color-bg: #212529;--bslib-color-fg: #ffffff}.bg-gradient-blue-indigo{--bslib-color-fg: #ffffff;--bslib-color-bg: #3148f9;background:linear-gradient(var(--bg-gradient-deg, 140deg), #0d6efd var(--bg-gradient-start, 36%), #6610f2 var(--bg-gradient-end, 180%)) #3148f9;color:#fff}.bg-gradient-blue-purple{--bslib-color-fg: #ffffff;--bslib-color-bg: #345ce5;background:linear-gradient(var(--bg-gradient-deg, 140deg), #0d6efd var(--bg-gradient-start, 36%), #6f42c1 var(--bg-gradient-end, 180%)) #345ce5;color:#fff}.bg-gradient-blue-pink{--bslib-color-fg: #ffffff;--bslib-color-bg: #5d56cd;background:linear-gradient(var(--bg-gradient-deg, 140deg), #0d6efd var(--bg-gradient-start, 36%), #d63384 var(--bg-gradient-end, 180%)) #5d56cd;color:#fff}.bg-gradient-blue-red{--bslib-color-fg: #ffffff;--bslib-color-bg: #6057b3;background:linear-gradient(var(--bg-gradient-deg, 140deg), #0d6efd var(--bg-gradient-start, 36%), #dc3545 var(--bg-gradient-end, 180%)) #6057b3;color:#fff}.bg-gradient-blue-orange{--bslib-color-fg: #ffffff;--bslib-color-bg: #6d74a0;background:linear-gradient(var(--bg-gradient-deg, 140deg), #0d6efd var(--bg-gradient-start, 36%), #fd7e14 var(--bg-gradient-end, 180%)) #6d74a0;color:#fff}.bg-gradient-blue-yellow{--bslib-color-fg: #000;--bslib-color-bg: #6e8f9b;background:linear-gradient(var(--bg-gradient-deg, 140deg), #0d6efd var(--bg-gradient-start, 36%), #ffc107 var(--bg-gradient-end, 180%)) #6e8f9b;color:#000}.bg-gradient-blue-green{--bslib-color-fg: #ffffff;--bslib-color-bg: #1278b9;background:linear-gradient(var(--bg-gradient-deg, 140deg), #0d6efd var(--bg-gradient-start, 36%), #198754 var(--bg-gradient-end, 180%)) #1278b9;color:#fff}.bg-gradient-blue-teal{--bslib-color-fg: #000;--bslib-color-bg: #1592d4;background:linear-gradient(var(--bg-gradient-deg, 140deg), #0d6efd var(--bg-gradient-start, 36%), #20c997 var(--bg-gradient-end, 180%)) #1592d4;color:#000}.bg-gradient-blue-cyan{--bslib-color-fg: #000;--bslib-color-bg: #0d93f8;background:linear-gradient(var(--bg-gradient-deg, 140deg), #0d6efd var(--bg-gradient-start, 36%), #0dcaf0 var(--bg-gradient-end, 180%)) #0d93f8;color:#000}.bg-gradient-indigo-blue{--bslib-color-fg: #ffffff;--bslib-color-bg: #4236f6;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6610f2 var(--bg-gradient-start, 36%), #0d6efd var(--bg-gradient-end, 180%)) #4236f6;color:#fff}.bg-gradient-indigo-purple{--bslib-color-fg: #ffffff;--bslib-color-bg: #6a24de;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6610f2 var(--bg-gradient-start, 36%), #6f42c1 var(--bg-gradient-end, 180%)) #6a24de;color:#fff}.bg-gradient-indigo-pink{--bslib-color-fg: #ffffff;--bslib-color-bg: #931ec6;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6610f2 var(--bg-gradient-start, 36%), #d63384 var(--bg-gradient-end, 180%)) #931ec6;color:#fff}.bg-gradient-indigo-red{--bslib-color-fg: #ffffff;--bslib-color-bg: #951fad;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6610f2 var(--bg-gradient-start, 36%), #dc3545 var(--bg-gradient-end, 180%)) #951fad;color:#fff}.bg-gradient-indigo-orange{--bslib-color-fg: #ffffff;--bslib-color-bg: #a23c99;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6610f2 var(--bg-gradient-start, 36%), #fd7e14 var(--bg-gradient-end, 180%)) #a23c99;color:#fff}.bg-gradient-indigo-yellow{--bslib-color-fg: #ffffff;--bslib-color-bg: #a35794;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6610f2 var(--bg-gradient-start, 36%), #ffc107 var(--bg-gradient-end, 180%)) #a35794;color:#fff}.bg-gradient-indigo-green{--bslib-color-fg: #ffffff;--bslib-color-bg: #4740b3;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6610f2 var(--bg-gradient-start, 36%), #198754 var(--bg-gradient-end, 180%)) #4740b3;color:#fff}.bg-gradient-indigo-teal{--bslib-color-fg: #ffffff;--bslib-color-bg: #4a5ace;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6610f2 var(--bg-gradient-start, 36%), #20c997 var(--bg-gradient-end, 180%)) #4a5ace;color:#fff}.bg-gradient-indigo-cyan{--bslib-color-fg: #ffffff;--bslib-color-bg: #425af1;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6610f2 var(--bg-gradient-start, 36%), #0dcaf0 var(--bg-gradient-end, 180%)) #425af1;color:#fff}.bg-gradient-purple-blue{--bslib-color-fg: #ffffff;--bslib-color-bg: #4854d9;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6f42c1 var(--bg-gradient-start, 36%), #0d6efd var(--bg-gradient-end, 180%)) #4854d9;color:#fff}.bg-gradient-purple-indigo{--bslib-color-fg: #ffffff;--bslib-color-bg: #6b2ed5;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6f42c1 var(--bg-gradient-start, 36%), #6610f2 var(--bg-gradient-end, 180%)) #6b2ed5;color:#fff}.bg-gradient-purple-pink{--bslib-color-fg: #ffffff;--bslib-color-bg: #983ca9;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6f42c1 var(--bg-gradient-start, 36%), #d63384 var(--bg-gradient-end, 180%)) #983ca9;color:#fff}.bg-gradient-purple-red{--bslib-color-fg: #ffffff;--bslib-color-bg: #9b3d8f;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6f42c1 var(--bg-gradient-start, 36%), #dc3545 var(--bg-gradient-end, 180%)) #9b3d8f;color:#fff}.bg-gradient-purple-orange{--bslib-color-fg: #ffffff;--bslib-color-bg: #a85a7c;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6f42c1 var(--bg-gradient-start, 36%), #fd7e14 var(--bg-gradient-end, 180%)) #a85a7c;color:#fff}.bg-gradient-purple-yellow{--bslib-color-fg: #000;--bslib-color-bg: #a97577;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6f42c1 var(--bg-gradient-start, 36%), #ffc107 var(--bg-gradient-end, 180%)) #a97577;color:#000}.bg-gradient-purple-green{--bslib-color-fg: #ffffff;--bslib-color-bg: #4d5e95;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6f42c1 var(--bg-gradient-start, 36%), #198754 var(--bg-gradient-end, 180%)) #4d5e95;color:#fff}.bg-gradient-purple-teal{--bslib-color-fg: #ffffff;--bslib-color-bg: #4f78b0;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6f42c1 var(--bg-gradient-start, 36%), #20c997 var(--bg-gradient-end, 180%)) #4f78b0;color:#fff}.bg-gradient-purple-cyan{--bslib-color-fg: #000;--bslib-color-bg: #4878d4;background:linear-gradient(var(--bg-gradient-deg, 140deg), #6f42c1 var(--bg-gradient-start, 36%), #0dcaf0 var(--bg-gradient-end, 180%)) #4878d4;color:#000}.bg-gradient-pink-blue{--bslib-color-fg: #ffffff;--bslib-color-bg: #864bb4;background:linear-gradient(var(--bg-gradient-deg, 140deg), #d63384 var(--bg-gradient-start, 36%), #0d6efd var(--bg-gradient-end, 180%)) #864bb4;color:#fff}.bg-gradient-pink-indigo{--bslib-color-fg: #ffffff;--bslib-color-bg: #a925b0;background:linear-gradient(var(--bg-gradient-deg, 140deg), #d63384 var(--bg-gradient-start, 36%), #6610f2 var(--bg-gradient-end, 180%)) #a925b0;color:#fff}.bg-gradient-pink-purple{--bslib-color-fg: #ffffff;--bslib-color-bg: #ad399c;background:linear-gradient(var(--bg-gradient-deg, 140deg), #d63384 var(--bg-gradient-start, 36%), #6f42c1 var(--bg-gradient-end, 180%)) #ad399c;color:#fff}.bg-gradient-pink-red{--bslib-color-fg: #ffffff;--bslib-color-bg: #d8346b;background:linear-gradient(var(--bg-gradient-deg, 140deg), #d63384 var(--bg-gradient-start, 36%), #dc3545 var(--bg-gradient-end, 180%)) #d8346b;color:#fff}.bg-gradient-pink-orange{--bslib-color-fg: #000;--bslib-color-bg: #e65157;background:linear-gradient(var(--bg-gradient-deg, 140deg), #d63384 var(--bg-gradient-start, 36%), #fd7e14 var(--bg-gradient-end, 180%)) #e65157;color:#000}.bg-gradient-pink-yellow{--bslib-color-fg: #000;--bslib-color-bg: #e66c52;background:linear-gradient(var(--bg-gradient-deg, 140deg), #d63384 var(--bg-gradient-start, 36%), #ffc107 var(--bg-gradient-end, 180%)) #e66c52;color:#000}.bg-gradient-pink-green{--bslib-color-fg: #ffffff;--bslib-color-bg: #8a5571;background:linear-gradient(var(--bg-gradient-deg, 140deg), #d63384 var(--bg-gradient-start, 36%), #198754 var(--bg-gradient-end, 180%)) #8a5571;color:#fff}.bg-gradient-pink-teal{--bslib-color-fg: #000;--bslib-color-bg: #8d6f8c;background:linear-gradient(var(--bg-gradient-deg, 140deg), #d63384 var(--bg-gradient-start, 36%), #20c997 var(--bg-gradient-end, 180%)) #8d6f8c;color:#000}.bg-gradient-pink-cyan{--bslib-color-fg: #000;--bslib-color-bg: #866faf;background:linear-gradient(var(--bg-gradient-deg, 140deg), #d63384 var(--bg-gradient-start, 36%), #0dcaf0 var(--bg-gradient-end, 180%)) #866faf;color:#000}.bg-gradient-red-blue{--bslib-color-fg: #ffffff;--bslib-color-bg: #894c8f;background:linear-gradient(var(--bg-gradient-deg, 140deg), #dc3545 var(--bg-gradient-start, 36%), #0d6efd var(--bg-gradient-end, 180%)) #894c8f;color:#fff}.bg-gradient-red-indigo{--bslib-color-fg: #ffffff;--bslib-color-bg: #ad268a;background:linear-gradient(var(--bg-gradient-deg, 140deg), #dc3545 var(--bg-gradient-start, 36%), #6610f2 var(--bg-gradient-end, 180%)) #ad268a;color:#fff}.bg-gradient-red-purple{--bslib-color-fg: #ffffff;--bslib-color-bg: #b03a77;background:linear-gradient(var(--bg-gradient-deg, 140deg), #dc3545 var(--bg-gradient-start, 36%), #6f42c1 var(--bg-gradient-end, 180%)) #b03a77;color:#fff}.bg-gradient-red-pink{--bslib-color-fg: #ffffff;--bslib-color-bg: #da345e;background:linear-gradient(var(--bg-gradient-deg, 140deg), #dc3545 var(--bg-gradient-start, 36%), #d63384 var(--bg-gradient-end, 180%)) #da345e;color:#fff}.bg-gradient-red-orange{--bslib-color-fg: #000;--bslib-color-bg: #e95231;background:linear-gradient(var(--bg-gradient-deg, 140deg), #dc3545 var(--bg-gradient-start, 36%), #fd7e14 var(--bg-gradient-end, 180%)) #e95231;color:#000}.bg-gradient-red-yellow{--bslib-color-fg: #000;--bslib-color-bg: #ea6d2c;background:linear-gradient(var(--bg-gradient-deg, 140deg), #dc3545 var(--bg-gradient-start, 36%), #ffc107 var(--bg-gradient-end, 180%)) #ea6d2c;color:#000}.bg-gradient-red-green{--bslib-color-fg: #ffffff;--bslib-color-bg: #8e564b;background:linear-gradient(var(--bg-gradient-deg, 140deg), #dc3545 var(--bg-gradient-start, 36%), #198754 var(--bg-gradient-end, 180%)) #8e564b;color:#fff}.bg-gradient-red-teal{--bslib-color-fg: #000;--bslib-color-bg: #917066;background:linear-gradient(var(--bg-gradient-deg, 140deg), #dc3545 var(--bg-gradient-start, 36%), #20c997 var(--bg-gradient-end, 180%)) #917066;color:#000}.bg-gradient-red-cyan{--bslib-color-fg: #000;--bslib-color-bg: 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i=`scroll${e[0].toUpperCase()+e.slice(1)}`;this._queueCallback((()=>{this._isTransitioning=!1,this._element.classList.remove(Mt),this._element.classList.add(Pt,Nt),this._element.style[e]="",N.trigger(this._element,St)}),this._element,!0),this._element.style[e]=`${this._element[i]}px`}hide(){if(this._isTransitioning||!this._isShown())return;if(N.trigger(this._element,Dt).defaultPrevented)return;const t=this._getDimension();this._element.style[t]=`${this._element.getBoundingClientRect()[t]}px`,d(this._element),this._element.classList.add(Mt),this._element.classList.remove(Pt,Nt);for(const t of this._triggerArray){const e=z.getElementFromSelector(t);e&&!this._isShown(e)&&this._addAriaAndCollapsedClass([t],!1)}this._isTransitioning=!0,this._element.style[t]="",this._queueCallback((()=>{this._isTransitioning=!1,this._element.classList.remove(Mt),this._element.classList.add(Pt),N.trigger(this._element,$t)}),this._element,!0)}_isShown(t=this._element){return 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s(t){i.add(t.name),[].concat(t.requires||[],t.requiresIfExists||[]).forEach((function(t){if(!i.has(t)){var n=e.get(t);n&&s(n)}})),n.push(t)}return t.forEach((function(t){e.set(t.name,t)})),t.forEach((function(t){i.has(t.name)||s(t)})),n}var fi={placement:"bottom",modifiers:[],strategy:"absolute"};function pi(){for(var t=arguments.length,e=new Array(t),i=0;iNumber.parseInt(t,10))):"function"==typeof t?e=>t(e,this._element):t}_getPopperConfig(){const t={placement:this._getPlacement(),modifiers:[{name:"preventOverflow",options:{boundary:this._config.boundary}},{name:"offset",options:{offset:this._getOffset()}}]};return(this._inNavbar||"static"===this._config.display)&&(F.setDataAttribute(this._menu,"popper","static"),t.modifiers=[{name:"applyStyles",enabled:!1}]),{...t,...g(this._config.popperConfig,[t])}}_selectMenuItem({key:t,target:e}){const i=z.find(".dropdown-menu 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e=/input|textarea/i.test(t.target.tagName),i="Escape"===t.key,n=[Ei,Ti].includes(t.key);if(!n&&!i)return;if(e&&!i)return;t.preventDefault();const s=this.matches(Ii)?this:z.prev(this,Ii)[0]||z.next(this,Ii)[0]||z.findOne(Ii,t.delegateTarget.parentNode),o=qi.getOrCreateInstance(s);if(n)return t.stopPropagation(),o.show(),void o._selectMenuItem(t);o._isShown()&&(t.stopPropagation(),o.hide(),s.focus())}}N.on(document,Si,Ii,qi.dataApiKeydownHandler),N.on(document,Si,Pi,qi.dataApiKeydownHandler),N.on(document,Li,qi.clearMenus),N.on(document,Di,qi.clearMenus),N.on(document,Li,Ii,(function(t){t.preventDefault(),qi.getOrCreateInstance(this).toggle()})),m(qi);const Vi="backdrop",Ki="show",Qi=`mousedown.bs.${Vi}`,Xi={className:"modal-backdrop",clickCallback:null,isAnimated:!1,isVisible:!0,rootElement:"body"},Yi={className:"string",clickCallback:"(function|null)",isAnimated:"boolean",isVisible:"boolean",rootElement:"(element|string)"};class Ui extends H{constructor(t){super(),this._config=this._getConfig(t),this._isAppended=!1,this._element=null}static get Default(){return Xi}static get DefaultType(){return Yi}static get NAME(){return Vi}show(t){if(!this._config.isVisible)return void g(t);this._append();const e=this._getElement();this._config.isAnimated&&d(e),e.classList.add(Ki),this._emulateAnimation((()=>{g(t)}))}hide(t){this._config.isVisible?(this._getElement().classList.remove(Ki),this._emulateAnimation((()=>{this.dispose(),g(t)}))):g(t)}dispose(){this._isAppended&&(N.off(this._element,Qi),this._element.remove(),this._isAppended=!1)}_getElement(){if(!this._element){const t=document.createElement("div");t.className=this._config.className,this._config.isAnimated&&t.classList.add("fade"),this._element=t}return this._element}_configAfterMerge(t){return t.rootElement=r(t.rootElement),t}_append(){if(this._isAppended)return;const t=this._getElement();this._config.rootElement.append(t),N.on(t,Qi,(()=>{g(this._config.clickCallback)})),this._isAppended=!0}_emulateAnimation(t){_(t,this._getElement(),this._config.isAnimated)}}const Gi=".bs.focustrap",Ji=`focusin${Gi}`,Zi=`keydown.tab${Gi}`,tn="backward",en={autofocus:!0,trapElement:null},nn={autofocus:"boolean",trapElement:"element"};class sn extends H{constructor(t){super(),this._config=this._getConfig(t),this._isActive=!1,this._lastTabNavDirection=null}static get Default(){return en}static get DefaultType(){return nn}static get NAME(){return"focustrap"}activate(){this._isActive||(this._config.autofocus&&this._config.trapElement.focus(),N.off(document,Gi),N.on(document,Ji,(t=>this._handleFocusin(t))),N.on(document,Zi,(t=>this._handleKeydown(t))),this._isActive=!0)}deactivate(){this._isActive&&(this._isActive=!1,N.off(document,Gi))}_handleFocusin(t){const{trapElement:e}=this._config;if(t.target===document||t.target===e||e.contains(t.target))return;const i=z.focusableChildren(e);0===i.length?e.focus():this._lastTabNavDirection===tn?i[i.length-1].focus():i[0].focus()}_handleKeydown(t){"Tab"===t.key&&(this._lastTabNavDirection=t.shiftKey?tn:"forward")}}const on=".fixed-top, .fixed-bottom, .is-fixed, .sticky-top",rn=".sticky-top",an="padding-right",ln="margin-right";class cn{constructor(){this._element=document.body}getWidth(){const t=document.documentElement.clientWidth;return Math.abs(window.innerWidth-t)}hide(){const t=this.getWidth();this._disableOverFlow(),this._setElementAttributes(this._element,an,(e=>e+t)),this._setElementAttributes(on,an,(e=>e+t)),this._setElementAttributes(rn,ln,(e=>e-t))}reset(){this._resetElementAttributes(this._element,"overflow"),this._resetElementAttributes(this._element,an),this._resetElementAttributes(on,an),this._resetElementAttributes(rn,ln)}isOverflowing(){return this.getWidth()>0}_disableOverFlow(){this._saveInitialAttribute(this._element,"overflow"),this._element.style.overflow="hidden"}_setElementAttributes(t,e,i){const n=this.getWidth();this._applyManipulationCallback(t,(t=>{if(t!==this._element&&window.innerWidth>t.clientWidth+n)return;this._saveInitialAttribute(t,e);const s=window.getComputedStyle(t).getPropertyValue(e);t.style.setProperty(e,`${i(Number.parseFloat(s))}px`)}))}_saveInitialAttribute(t,e){const i=t.style.getPropertyValue(e);i&&F.setDataAttribute(t,e,i)}_resetElementAttributes(t,e){this._applyManipulationCallback(t,(t=>{const i=F.getDataAttribute(t,e);null!==i?(F.removeDataAttribute(t,e),t.style.setProperty(e,i)):t.style.removeProperty(e)}))}_applyManipulationCallback(t,e){if(o(t))e(t);else for(const i of z.find(t,this._element))e(i)}}const hn=".bs.modal",dn=`hide${hn}`,un=`hidePrevented${hn}`,fn=`hidden${hn}`,pn=`show${hn}`,mn=`shown${hn}`,gn=`resize${hn}`,_n=`click.dismiss${hn}`,bn=`mousedown.dismiss${hn}`,vn=`keydown.dismiss${hn}`,yn=`click${hn}.data-api`,wn="modal-open",An="show",En="modal-static",Tn={backdrop:!0,focus:!0,keyboard:!0},Cn={backdrop:"(boolean|string)",focus:"boolean",keyboard:"boolean"};class On extends W{constructor(t,e){super(t,e),this._dialog=z.findOne(".modal-dialog",this._element),this._backdrop=this._initializeBackDrop(),this._focustrap=this._initializeFocusTrap(),this._isShown=!1,this._isTransitioning=!1,this._scrollBar=new cn,this._addEventListeners()}static get Default(){return Tn}static get DefaultType(){return Cn}static get NAME(){return"modal"}toggle(t){return this._isShown?this.hide():this.show(t)}show(t){this._isShown||this._isTransitioning||N.trigger(this._element,pn,{relatedTarget:t}).defaultPrevented||(this._isShown=!0,this._isTransitioning=!0,this._scrollBar.hide(),document.body.classList.add(wn),this._adjustDialog(),this._backdrop.show((()=>this._showElement(t))))}hide(){this._isShown&&!this._isTransitioning&&(N.trigger(this._element,dn).defaultPrevented||(this._isShown=!1,this._isTransitioning=!0,this._focustrap.deactivate(),this._element.classList.remove(An),this._queueCallback((()=>this._hideModal()),this._element,this._isAnimated())))}dispose(){N.off(window,hn),N.off(this._dialog,hn),this._backdrop.dispose(),this._focustrap.deactivate(),super.dispose()}handleUpdate(){this._adjustDialog()}_initializeBackDrop(){return new Ui({isVisible:Boolean(this._config.backdrop),isAnimated:this._isAnimated()})}_initializeFocusTrap(){return new sn({trapElement:this._element})}_showElement(t){document.body.contains(this._element)||document.body.append(this._element),this._element.style.display="block",this._element.removeAttribute("aria-hidden"),this._element.setAttribute("aria-modal",!0),this._element.setAttribute("role","dialog"),this._element.scrollTop=0;const e=z.findOne(".modal-body",this._dialog);e&&(e.scrollTop=0),d(this._element),this._element.classList.add(An),this._queueCallback((()=>{this._config.focus&&this._focustrap.activate(),this._isTransitioning=!1,N.trigger(this._element,mn,{relatedTarget:t})}),this._dialog,this._isAnimated())}_addEventListeners(){N.on(this._element,vn,(t=>{"Escape"===t.key&&(this._config.keyboard?this.hide():this._triggerBackdropTransition())})),N.on(window,gn,(()=>{this._isShown&&!this._isTransitioning&&this._adjustDialog()})),N.on(this._element,bn,(t=>{N.one(this._element,_n,(e=>{this._element===t.target&&this._element===e.target&&("static"!==this._config.backdrop?this._config.backdrop&&this.hide():this._triggerBackdropTransition())}))}))}_hideModal(){this._element.style.display="none",this._element.setAttribute("aria-hidden",!0),this._element.removeAttribute("aria-modal"),this._element.removeAttribute("role"),this._isTransitioning=!1,this._backdrop.hide((()=>{document.body.classList.remove(wn),this._resetAdjustments(),this._scrollBar.reset(),N.trigger(this._element,fn)}))}_isAnimated(){return this._element.classList.contains("fade")}_triggerBackdropTransition(){if(N.trigger(this._element,un).defaultPrevented)return;const t=this._element.scrollHeight>document.documentElement.clientHeight,e=this._element.style.overflowY;"hidden"===e||this._element.classList.contains(En)||(t||(this._element.style.overflowY="hidden"),this._element.classList.add(En),this._queueCallback((()=>{this._element.classList.remove(En),this._queueCallback((()=>{this._element.style.overflowY=e}),this._dialog)}),this._dialog),this._element.focus())}_adjustDialog(){const t=this._element.scrollHeight>document.documentElement.clientHeight,e=this._scrollBar.getWidth(),i=e>0;if(i&&!t){const t=p()?"paddingLeft":"paddingRight";this._element.style[t]=`${e}px`}if(!i&&t){const t=p()?"paddingRight":"paddingLeft";this._element.style[t]=`${e}px`}}_resetAdjustments(){this._element.style.paddingLeft="",this._element.style.paddingRight=""}static jQueryInterface(t,e){return this.each((function(){const i=On.getOrCreateInstance(this,t);if("string"==typeof t){if(void 0===i[t])throw new TypeError(`No method named "${t}"`);i[t](e)}}))}}N.on(document,yn,'[data-bs-toggle="modal"]',(function(t){const e=z.getElementFromSelector(this);["A","AREA"].includes(this.tagName)&&t.preventDefault(),N.one(e,pn,(t=>{t.defaultPrevented||N.one(e,fn,(()=>{a(this)&&this.focus()}))}));const i=z.findOne(".modal.show");i&&On.getInstance(i).hide(),On.getOrCreateInstance(e).toggle(this)})),R(On),m(On);const xn=".bs.offcanvas",kn=".data-api",Ln=`load${xn}${kn}`,Sn="show",Dn="showing",$n="hiding",In=".offcanvas.show",Nn=`show${xn}`,Pn=`shown${xn}`,Mn=`hide${xn}`,jn=`hidePrevented${xn}`,Fn=`hidden${xn}`,Hn=`resize${xn}`,Wn=`click${xn}${kn}`,Bn=`keydown.dismiss${xn}`,zn={backdrop:!0,keyboard:!0,scroll:!1},Rn={backdrop:"(boolean|string)",keyboard:"boolean",scroll:"boolean"};class qn extends W{constructor(t,e){super(t,e),this._isShown=!1,this._backdrop=this._initializeBackDrop(),this._focustrap=this._initializeFocusTrap(),this._addEventListeners()}static get Default(){return zn}static get DefaultType(){return Rn}static get NAME(){return"offcanvas"}toggle(t){return this._isShown?this.hide():this.show(t)}show(t){this._isShown||N.trigger(this._element,Nn,{relatedTarget:t}).defaultPrevented||(this._isShown=!0,this._backdrop.show(),this._config.scroll||(new cn).hide(),this._element.setAttribute("aria-modal",!0),this._element.setAttribute("role","dialog"),this._element.classList.add(Dn),this._queueCallback((()=>{this._config.scroll&&!this._config.backdrop||this._focustrap.activate(),this._element.classList.add(Sn),this._element.classList.remove(Dn),N.trigger(this._element,Pn,{relatedTarget:t})}),this._element,!0))}hide(){this._isShown&&(N.trigger(this._element,Mn).defaultPrevented||(this._focustrap.deactivate(),this._element.blur(),this._isShown=!1,this._element.classList.add($n),this._backdrop.hide(),this._queueCallback((()=>{this._element.classList.remove(Sn,$n),this._element.removeAttribute("aria-modal"),this._element.removeAttribute("role"),this._config.scroll||(new cn).reset(),N.trigger(this._element,Fn)}),this._element,!0)))}dispose(){this._backdrop.dispose(),this._focustrap.deactivate(),super.dispose()}_initializeBackDrop(){const t=Boolean(this._config.backdrop);return new Ui({className:"offcanvas-backdrop",isVisible:t,isAnimated:!0,rootElement:this._element.parentNode,clickCallback:t?()=>{"static"!==this._config.backdrop?this.hide():N.trigger(this._element,jn)}:null})}_initializeFocusTrap(){return new sn({trapElement:this._element})}_addEventListeners(){N.on(this._element,Bn,(t=>{"Escape"===t.key&&(this._config.keyboard?this.hide():N.trigger(this._element,jn))}))}static jQueryInterface(t){return this.each((function(){const e=qn.getOrCreateInstance(this,t);if("string"==typeof t){if(void 0===e[t]||t.startsWith("_")||"constructor"===t)throw new TypeError(`No method named "${t}"`);e[t](this)}}))}}N.on(document,Wn,'[data-bs-toggle="offcanvas"]',(function(t){const e=z.getElementFromSelector(this);if(["A","AREA"].includes(this.tagName)&&t.preventDefault(),l(this))return;N.one(e,Fn,(()=>{a(this)&&this.focus()}));const i=z.findOne(In);i&&i!==e&&qn.getInstance(i).hide(),qn.getOrCreateInstance(e).toggle(this)})),N.on(window,Ln,(()=>{for(const t of z.find(In))qn.getOrCreateInstance(t).show()})),N.on(window,Hn,(()=>{for(const t of z.find("[aria-modal][class*=show][class*=offcanvas-]"))"fixed"!==getComputedStyle(t).position&&qn.getOrCreateInstance(t).hide()})),R(qn),m(qn);const Vn={"*":["class","dir","id","lang","role",/^aria-[\w-]*$/i],a:["target","href","title","rel"],area:[],b:[],br:[],col:[],code:[],div:[],em:[],hr:[],h1:[],h2:[],h3:[],h4:[],h5:[],h6:[],i:[],img:["src","srcset","alt","title","width","height"],li:[],ol:[],p:[],pre:[],s:[],small:[],span:[],sub:[],sup:[],strong:[],u:[],ul:[]},Kn=new Set(["background","cite","href","itemtype","longdesc","poster","src","xlink:href"]),Qn=/^(?!javascript:)(?:[a-z0-9+.-]+:|[^&:/?#]*(?:[/?#]|$))/i,Xn=(t,e)=>{const i=t.nodeName.toLowerCase();return e.includes(i)?!Kn.has(i)||Boolean(Qn.test(t.nodeValue)):e.filter((t=>t instanceof RegExp)).some((t=>t.test(i)))},Yn={allowList:Vn,content:{},extraClass:"",html:!1,sanitize:!0,sanitizeFn:null,template:"
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")),e}_typeCheckConfig(t){super._typeCheckConfig(t),this._checkContent(t.content)}_checkContent(t){for(const[e,i]of Object.entries(t))super._typeCheckConfig({selector:e,entry:i},Gn)}_setContent(t,e,i){const n=z.findOne(i,t);n&&((e=this._resolvePossibleFunction(e))?o(e)?this._putElementInTemplate(r(e),n):this._config.html?n.innerHTML=this._maybeSanitize(e):n.textContent=e:n.remove())}_maybeSanitize(t){return this._config.sanitize?function(t,e,i){if(!t.length)return t;if(i&&"function"==typeof i)return i(t);const n=(new window.DOMParser).parseFromString(t,"text/html"),s=[].concat(...n.body.querySelectorAll("*"));for(const t of s){const i=t.nodeName.toLowerCase();if(!Object.keys(e).includes(i)){t.remove();continue}const n=[].concat(...t.attributes),s=[].concat(e["*"]||[],e[i]||[]);for(const e of n)Xn(e,s)||t.removeAttribute(e.nodeName)}return n.body.innerHTML}(t,this._config.allowList,this._config.sanitizeFn):t}_resolvePossibleFunction(t){return g(t,[this])}_putElementInTemplate(t,e){if(this._config.html)return e.innerHTML="",void e.append(t);e.textContent=t.textContent}}const Zn=new Set(["sanitize","allowList","sanitizeFn"]),ts="fade",es="show",is=".modal",ns="hide.bs.modal",ss="hover",os="focus",rs={AUTO:"auto",TOP:"top",RIGHT:p()?"left":"right",BOTTOM:"bottom",LEFT:p()?"right":"left"},as={allowList:Vn,animation:!0,boundary:"clippingParents",container:!1,customClass:"",delay:0,fallbackPlacements:["top","right","bottom","left"],html:!1,offset:[0,6],placement:"top",popperConfig:null,sanitize:!0,sanitizeFn:null,selector:!1,template:'',title:"",trigger:"hover focus"},ls={allowList:"object",animation:"boolean",boundary:"(string|element)",container:"(string|element|boolean)",customClass:"(string|function)",delay:"(number|object)",fallbackPlacements:"array",html:"boolean",offset:"(array|string|function)",placement:"(string|function)",popperConfig:"(null|object|function)",sanitize:"boolean",sanitizeFn:"(null|function)",selector:"(string|boolean)",template:"string",title:"(string|element|function)",trigger:"string"};class cs extends W{constructor(t,e){if(void 0===vi)throw new TypeError("Bootstrap's tooltips require Popper (https://popper.js.org)");super(t,e),this._isEnabled=!0,this._timeout=0,this._isHovered=null,this._activeTrigger={},this._popper=null,this._templateFactory=null,this._newContent=null,this.tip=null,this._setListeners(),this._config.selector||this._fixTitle()}static get Default(){return as}static get DefaultType(){return ls}static get NAME(){return"tooltip"}enable(){this._isEnabled=!0}disable(){this._isEnabled=!1}toggleEnabled(){this._isEnabled=!this._isEnabled}toggle(){this._isEnabled&&(this._activeTrigger.click=!this._activeTrigger.click,this._isShown()?this._leave():this._enter())}dispose(){clearTimeout(this._timeout),N.off(this._element.closest(is),ns,this._hideModalHandler),this._element.getAttribute("data-bs-original-title")&&this._element.setAttribute("title",this._element.getAttribute("data-bs-original-title")),this._disposePopper(),super.dispose()}show(){if("none"===this._element.style.display)throw new Error("Please use show on visible elements");if(!this._isWithContent()||!this._isEnabled)return;const t=N.trigger(this._element,this.constructor.eventName("show")),e=(c(this._element)||this._element.ownerDocument.documentElement).contains(this._element);if(t.defaultPrevented||!e)return;this._disposePopper();const i=this._getTipElement();this._element.setAttribute("aria-describedby",i.getAttribute("id"));const{container:n}=this._config;if(this._element.ownerDocument.documentElement.contains(this.tip)||(n.append(i),N.trigger(this._element,this.constructor.eventName("inserted"))),this._popper=this._createPopper(i),i.classList.add(es),"ontouchstart"in document.documentElement)for(const t of[].concat(...document.body.children))N.on(t,"mouseover",h);this._queueCallback((()=>{N.trigger(this._element,this.constructor.eventName("shown")),!1===this._isHovered&&this._leave(),this._isHovered=!1}),this.tip,this._isAnimated())}hide(){if(this._isShown()&&!N.trigger(this._element,this.constructor.eventName("hide")).defaultPrevented){if(this._getTipElement().classList.remove(es),"ontouchstart"in document.documentElement)for(const t of[].concat(...document.body.children))N.off(t,"mouseover",h);this._activeTrigger.click=!1,this._activeTrigger[os]=!1,this._activeTrigger[ss]=!1,this._isHovered=null,this._queueCallback((()=>{this._isWithActiveTrigger()||(this._isHovered||this._disposePopper(),this._element.removeAttribute("aria-describedby"),N.trigger(this._element,this.constructor.eventName("hidden")))}),this.tip,this._isAnimated())}}update(){this._popper&&this._popper.update()}_isWithContent(){return Boolean(this._getTitle())}_getTipElement(){return this.tip||(this.tip=this._createTipElement(this._newContent||this._getContentForTemplate())),this.tip}_createTipElement(t){const e=this._getTemplateFactory(t).toHtml();if(!e)return null;e.classList.remove(ts,es),e.classList.add(`bs-${this.constructor.NAME}-auto`);const i=(t=>{do{t+=Math.floor(1e6*Math.random())}while(document.getElementById(t));return t})(this.constructor.NAME).toString();return e.setAttribute("id",i),this._isAnimated()&&e.classList.add(ts),e}setContent(t){this._newContent=t,this._isShown()&&(this._disposePopper(),this.show())}_getTemplateFactory(t){return this._templateFactory?this._templateFactory.changeContent(t):this._templateFactory=new Jn({...this._config,content:t,extraClass:this._resolvePossibleFunction(this._config.customClass)}),this._templateFactory}_getContentForTemplate(){return{".tooltip-inner":this._getTitle()}}_getTitle(){return this._resolvePossibleFunction(this._config.title)||this._element.getAttribute("data-bs-original-title")}_initializeOnDelegatedTarget(t){return this.constructor.getOrCreateInstance(t.delegateTarget,this._getDelegateConfig())}_isAnimated(){return this._config.animation||this.tip&&this.tip.classList.contains(ts)}_isShown(){return this.tip&&this.tip.classList.contains(es)}_createPopper(t){const e=g(this._config.placement,[this,t,this._element]),i=rs[e.toUpperCase()];return bi(this._element,t,this._getPopperConfig(i))}_getOffset(){const{offset:t}=this._config;return"string"==typeof t?t.split(",").map((t=>Number.parseInt(t,10))):"function"==typeof t?e=>t(e,this._element):t}_resolvePossibleFunction(t){return g(t,[this._element])}_getPopperConfig(t){const e={placement:t,modifiers:[{name:"flip",options:{fallbackPlacements:this._config.fallbackPlacements}},{name:"offset",options:{offset:this._getOffset()}},{name:"preventOverflow",options:{boundary:this._config.boundary}},{name:"arrow",options:{element:`.${this.constructor.NAME}-arrow`}},{name:"preSetPlacement",enabled:!0,phase:"beforeMain",fn:t=>{this._getTipElement().setAttribute("data-popper-placement",t.state.placement)}}]};return{...e,...g(this._config.popperConfig,[e])}}_setListeners(){const t=this._config.trigger.split(" ");for(const e of t)if("click"===e)N.on(this._element,this.constructor.eventName("click"),this._config.selector,(t=>{this._initializeOnDelegatedTarget(t).toggle()}));else if("manual"!==e){const t=e===ss?this.constructor.eventName("mouseenter"):this.constructor.eventName("focusin"),i=e===ss?this.constructor.eventName("mouseleave"):this.constructor.eventName("focusout");N.on(this._element,t,this._config.selector,(t=>{const e=this._initializeOnDelegatedTarget(t);e._activeTrigger["focusin"===t.type?os:ss]=!0,e._enter()})),N.on(this._element,i,this._config.selector,(t=>{const e=this._initializeOnDelegatedTarget(t);e._activeTrigger["focusout"===t.type?os:ss]=e._element.contains(t.relatedTarget),e._leave()}))}this._hideModalHandler=()=>{this._element&&this.hide()},N.on(this._element.closest(is),ns,this._hideModalHandler)}_fixTitle(){const t=this._element.getAttribute("title");t&&(this._element.getAttribute("aria-label")||this._element.textContent.trim()||this._element.setAttribute("aria-label",t),this._element.setAttribute("data-bs-original-title",t),this._element.removeAttribute("title"))}_enter(){this._isShown()||this._isHovered?this._isHovered=!0:(this._isHovered=!0,this._setTimeout((()=>{this._isHovered&&this.show()}),this._config.delay.show))}_leave(){this._isWithActiveTrigger()||(this._isHovered=!1,this._setTimeout((()=>{this._isHovered||this.hide()}),this._config.delay.hide))}_setTimeout(t,e){clearTimeout(this._timeout),this._timeout=setTimeout(t,e)}_isWithActiveTrigger(){return Object.values(this._activeTrigger).includes(!0)}_getConfig(t){const e=F.getDataAttributes(this._element);for(const t of Object.keys(e))Zn.has(t)&&delete e[t];return t={...e,..."object"==typeof t&&t?t:{}},t=this._mergeConfigObj(t),t=this._configAfterMerge(t),this._typeCheckConfig(t),t}_configAfterMerge(t){return t.container=!1===t.container?document.body:r(t.container),"number"==typeof t.delay&&(t.delay={show:t.delay,hide:t.delay}),"number"==typeof t.title&&(t.title=t.title.toString()),"number"==typeof t.content&&(t.content=t.content.toString()),t}_getDelegateConfig(){const t={};for(const[e,i]of Object.entries(this._config))this.constructor.Default[e]!==i&&(t[e]=i);return t.selector=!1,t.trigger="manual",t}_disposePopper(){this._popper&&(this._popper.destroy(),this._popper=null),this.tip&&(this.tip.remove(),this.tip=null)}static jQueryInterface(t){return this.each((function(){const e=cs.getOrCreateInstance(this,t);if("string"==typeof t){if(void 0===e[t])throw new TypeError(`No method named "${t}"`);e[t]()}}))}}m(cs);const hs={...cs.Default,content:"",offset:[0,8],placement:"right",template:'',trigger:"click"},ds={...cs.DefaultType,content:"(null|string|element|function)"};class us extends cs{static get Default(){return hs}static get DefaultType(){return ds}static get NAME(){return"popover"}_isWithContent(){return this._getTitle()||this._getContent()}_getContentForTemplate(){return{".popover-header":this._getTitle(),".popover-body":this._getContent()}}_getContent(){return this._resolvePossibleFunction(this._config.content)}static jQueryInterface(t){return this.each((function(){const e=us.getOrCreateInstance(this,t);if("string"==typeof t){if(void 0===e[t])throw new TypeError(`No method named "${t}"`);e[t]()}}))}}m(us);const fs=".bs.scrollspy",ps=`activate${fs}`,ms=`click${fs}`,gs=`load${fs}.data-api`,_s="active",bs="[href]",vs=".nav-link",ys=`${vs}, .nav-item > ${vs}, .list-group-item`,ws={offset:null,rootMargin:"0px 0px -25%",smoothScroll:!1,target:null,threshold:[.1,.5,1]},As={offset:"(number|null)",rootMargin:"string",smoothScroll:"boolean",target:"element",threshold:"array"};class Es extends W{constructor(t,e){super(t,e),this._targetLinks=new Map,this._observableSections=new 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e=this._observableSections.get(t.target.hash);if(e){t.preventDefault();const i=this._rootElement||window,n=e.offsetTop-this._element.offsetTop;if(i.scrollTo)return void i.scrollTo({top:n,behavior:"smooth"});i.scrollTop=n}})))}_getNewObserver(){const t={root:this._rootElement,threshold:this._config.threshold,rootMargin:this._config.rootMargin};return new IntersectionObserver((t=>this._observerCallback(t)),t)}_observerCallback(t){const e=t=>this._targetLinks.get(`#${t.target.id}`),i=t=>{this._previousScrollData.visibleEntryTop=t.target.offsetTop,this._process(e(t))},n=(this._rootElement||document.documentElement).scrollTop,s=n>=this._previousScrollData.parentScrollTop;this._previousScrollData.parentScrollTop=n;for(const o of t){if(!o.isIntersecting){this._activeTarget=null,this._clearActiveClass(e(o));continue}const t=o.target.offsetTop>=this._previousScrollData.visibleEntryTop;if(s&&t){if(i(o),!n)return}else s||t||i(o)}}_initializeTargetsAndObservables(){this._targetLinks=new 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index 00000000..b30ce576 --- /dev/null +++ b/_freeze/Chapters/15-vectors/libs/quarto-html/quarto-syntax-highlighting.css @@ -0,0 +1,205 @@ +/* quarto syntax highlight colors */ +:root { + --quarto-hl-ot-color: #003B4F; + --quarto-hl-at-color: #657422; + --quarto-hl-ss-color: #20794D; + --quarto-hl-an-color: #5E5E5E; + --quarto-hl-fu-color: #4758AB; + --quarto-hl-st-color: #20794D; + --quarto-hl-cf-color: #003B4F; + --quarto-hl-op-color: #5E5E5E; + --quarto-hl-er-color: #AD0000; + --quarto-hl-bn-color: #AD0000; + --quarto-hl-al-color: #AD0000; + --quarto-hl-va-color: #111111; + --quarto-hl-bu-color: inherit; + --quarto-hl-ex-color: inherit; + --quarto-hl-pp-color: #AD0000; + --quarto-hl-in-color: #5E5E5E; + --quarto-hl-vs-color: #20794D; + --quarto-hl-wa-color: #5E5E5E; + --quarto-hl-do-color: #5E5E5E; + --quarto-hl-im-color: #00769E; + --quarto-hl-ch-color: #20794D; + --quarto-hl-dt-color: #AD0000; + --quarto-hl-fl-color: #AD0000; + --quarto-hl-co-color: #5E5E5E; + --quarto-hl-cv-color: #5E5E5E; + --quarto-hl-cn-color: #8f5902; + --quarto-hl-sc-color: #5E5E5E; + --quarto-hl-dv-color: #AD0000; + --quarto-hl-kw-color: #003B4F; +} + +/* other quarto variables */ +:root { + --quarto-font-monospace: SFMono-Regular, Menlo, Monaco, Consolas, "Liberation Mono", "Courier New", monospace; +} + +pre > code.sourceCode > span { + color: #003B4F; +} + +code span { + color: #003B4F; +} + +code.sourceCode > span { + color: #003B4F; +} + +div.sourceCode, +div.sourceCode pre.sourceCode { + color: #003B4F; +} + +code span.ot { + color: #003B4F; + font-style: inherit; +} + +code span.at { + color: #657422; + font-style: inherit; +} + +code span.ss { + color: #20794D; + font-style: inherit; +} + +code span.an { + color: #5E5E5E; + font-style: inherit; +} + +code span.fu { + color: #4758AB; + font-style: inherit; +} + +code span.st { + color: #20794D; + font-style: inherit; +} + +code span.cf { + color: #003B4F; + font-weight: bold; + font-style: inherit; +} + +code span.op { + color: #5E5E5E; + font-style: inherit; +} + +code span.er { + color: #AD0000; + font-style: inherit; +} + +code span.bn { + color: #AD0000; + font-style: inherit; +} + +code span.al { + color: #AD0000; + font-style: inherit; +} + +code span.va { + color: #111111; + font-style: inherit; +} + +code span.bu { + font-style: inherit; +} + +code span.ex { + font-style: inherit; +} + +code span.pp { + color: #AD0000; + font-style: inherit; +} + +code span.in { + color: #5E5E5E; + font-style: inherit; +} + +code span.vs { + color: #20794D; + font-style: inherit; +} + +code span.wa { + color: #5E5E5E; + font-style: italic; +} + +code span.do { + color: #5E5E5E; + font-style: italic; +} + +code span.im { + color: #00769E; + font-style: inherit; +} + +code span.ch { + color: #20794D; + font-style: inherit; +} + +code span.dt { + color: #AD0000; + font-style: inherit; +} + +code span.fl { + color: #AD0000; + font-style: inherit; +} + +code span.co { + color: #5E5E5E; + font-style: inherit; +} + +code span.cv { + color: #5E5E5E; + font-style: italic; +} + +code span.cn { + color: #8f5902; + font-style: inherit; +} + +code span.sc { + color: #5E5E5E; + font-style: inherit; +} + +code span.dv { + color: #AD0000; + font-style: inherit; +} + +code span.kw { + color: #003B4F; + font-weight: bold; + font-style: inherit; +} + +.prevent-inlining { + content: " { + // Find any conflicting margin elements and add margins to the + // top to prevent overlap + const marginChildren = window.document.querySelectorAll( + ".column-margin.column-container > *, .margin-caption, .aside" + ); + + let lastBottom = 0; + for (const marginChild of marginChildren) { + if (marginChild.offsetParent !== null) { + // clear the top margin so we recompute it + marginChild.style.marginTop = null; + const top = marginChild.getBoundingClientRect().top + window.scrollY; + if (top < lastBottom) { + const marginChildStyle = window.getComputedStyle(marginChild); + const marginBottom = parseFloat(marginChildStyle["marginBottom"]); + const margin = lastBottom - top + marginBottom; + marginChild.style.marginTop = `${margin}px`; + } + const styles = window.getComputedStyle(marginChild); + const marginTop = parseFloat(styles["marginTop"]); + lastBottom = top + marginChild.getBoundingClientRect().height + marginTop; + } + } +}; + +window.document.addEventListener("DOMContentLoaded", function (_event) { + // Recompute the position of margin elements anytime the body size changes + if (window.ResizeObserver) { + const resizeObserver = new window.ResizeObserver( + throttle(() => { + layoutMarginEls(); + if ( + window.document.body.getBoundingClientRect().width < 990 && + isReaderMode() + ) { + quartoToggleReader(); + } + }, 50) + ); + resizeObserver.observe(window.document.body); + } + + const tocEl = window.document.querySelector('nav.toc-active[role="doc-toc"]'); + const sidebarEl = window.document.getElementById("quarto-sidebar"); + const leftTocEl = window.document.getElementById("quarto-sidebar-toc-left"); + const marginSidebarEl = window.document.getElementById( + "quarto-margin-sidebar" + ); + // function to determine whether the element has a previous sibling that is active + const prevSiblingIsActiveLink = (el) => { + const sibling = el.previousElementSibling; + if (sibling && sibling.tagName === "A") { + return sibling.classList.contains("active"); + } else { + return false; + } + }; + + // fire slideEnter for bootstrap tab activations (for htmlwidget resize behavior) + function fireSlideEnter(e) { + const event = window.document.createEvent("Event"); + event.initEvent("slideenter", true, true); + window.document.dispatchEvent(event); + } + const tabs = window.document.querySelectorAll('a[data-bs-toggle="tab"]'); + tabs.forEach((tab) => { + tab.addEventListener("shown.bs.tab", fireSlideEnter); + }); + + // fire slideEnter for tabby tab activations (for htmlwidget resize behavior) + document.addEventListener("tabby", fireSlideEnter, false); + + // Track scrolling and mark TOC links as active + // get table of contents and sidebar (bail if we don't have at least one) + const tocLinks = tocEl + ? [...tocEl.querySelectorAll("a[data-scroll-target]")] + : []; + const makeActive = (link) => tocLinks[link].classList.add("active"); + const removeActive = (link) => tocLinks[link].classList.remove("active"); + const removeAllActive = () => + [...Array(tocLinks.length).keys()].forEach((link) => removeActive(link)); + + // activate the anchor for a section associated with this TOC entry + tocLinks.forEach((link) => { + link.addEventListener("click", () => { + if (link.href.indexOf("#") !== -1) { + const anchor = link.href.split("#")[1]; + const heading = window.document.querySelector( + `[data-anchor-id="${anchor}"]` + ); + if (heading) { + // Add the class + heading.classList.add("reveal-anchorjs-link"); + + // function to show the anchor + const handleMouseout = () => { + heading.classList.remove("reveal-anchorjs-link"); + heading.removeEventListener("mouseout", handleMouseout); + }; + + // add a function to clear the anchor when the user mouses out of it + heading.addEventListener("mouseout", handleMouseout); + } + } + }); + }); + + const sections = tocLinks.map((link) => { + const target = link.getAttribute("data-scroll-target"); + if (target.startsWith("#")) { + return window.document.getElementById(decodeURI(`${target.slice(1)}`)); + } else { + return window.document.querySelector(decodeURI(`${target}`)); + } + }); + + const sectionMargin = 200; + let currentActive = 0; + // track whether we've initialized state the first time + let init = false; + + const updateActiveLink = () => { + // The index from bottom to top (e.g. reversed list) + let sectionIndex = -1; + if ( + window.innerHeight + window.pageYOffset >= + window.document.body.offsetHeight + ) { + // This is the no-scroll case where last section should be the active one + sectionIndex = 0; + } else { + // This finds the last section visible on screen that should be made active + sectionIndex = [...sections].reverse().findIndex((section) => { + if (section) { + return window.pageYOffset >= section.offsetTop - sectionMargin; + } else { + return false; + } + }); + } + if (sectionIndex > -1) { + const current = sections.length - sectionIndex - 1; + if (current !== currentActive) { + removeAllActive(); + currentActive = current; + makeActive(current); + if (init) { + window.dispatchEvent(sectionChanged); + } + init = true; + } + } + }; + + const inHiddenRegion = (top, bottom, hiddenRegions) => { + for (const region of hiddenRegions) { + if (top <= region.bottom && bottom >= region.top) { + return true; + } + } + return false; + }; + + const categorySelector = "header.quarto-title-block .quarto-category"; + const activateCategories = (href) => { + // Find any categories + // Surround them with a link pointing back to: + // #category=Authoring + try { + const categoryEls = window.document.querySelectorAll(categorySelector); + for (const categoryEl of categoryEls) { + const categoryText = categoryEl.textContent; + if (categoryText) { + const link = `${href}#category=${encodeURIComponent(categoryText)}`; + const linkEl = window.document.createElement("a"); + linkEl.setAttribute("href", link); + for (const child of categoryEl.childNodes) { + linkEl.append(child); + } + categoryEl.appendChild(linkEl); + } + } + } catch { + // Ignore errors + } + }; + function hasTitleCategories() { + return window.document.querySelector(categorySelector) !== null; + } + + function offsetRelativeUrl(url) { + const offset = getMeta("quarto:offset"); + return offset ? offset + url : url; + } + + function offsetAbsoluteUrl(url) { + const offset = getMeta("quarto:offset"); + const baseUrl = new URL(offset, window.location); + + const projRelativeUrl = url.replace(baseUrl, ""); + if (projRelativeUrl.startsWith("/")) { + return projRelativeUrl; + } else { + return "/" + projRelativeUrl; + } + } + + // read a meta tag value + function getMeta(metaName) { + const metas = window.document.getElementsByTagName("meta"); + for (let i = 0; i < metas.length; i++) { + if (metas[i].getAttribute("name") === metaName) { + return metas[i].getAttribute("content"); + } + } + return ""; + } + + async function findAndActivateCategories() { + const currentPagePath = offsetAbsoluteUrl(window.location.href); + const response = await fetch(offsetRelativeUrl("listings.json")); + if (response.status == 200) { + return response.json().then(function (listingPaths) { + const listingHrefs = []; + for (const listingPath of listingPaths) { + const pathWithoutLeadingSlash = listingPath.listing.substring(1); + for (const item of listingPath.items) { + if ( + item === currentPagePath || + item === currentPagePath + "index.html" + ) { + // Resolve this path against the offset to be sure + // we already are using the correct path to the listing + // (this adjusts the listing urls to be rooted against + // whatever root the page is actually running against) + const relative = offsetRelativeUrl(pathWithoutLeadingSlash); + const baseUrl = window.location; + const resolvedPath = new URL(relative, baseUrl); + listingHrefs.push(resolvedPath.pathname); + break; + } + } + } + + // Look up the tree for a nearby linting and use that if we find one + const nearestListing = findNearestParentListing( + offsetAbsoluteUrl(window.location.pathname), + listingHrefs + ); + if (nearestListing) { + activateCategories(nearestListing); + } else { + // See if the referrer is a listing page for this item + const referredRelativePath = offsetAbsoluteUrl(document.referrer); + const referrerListing = listingHrefs.find((listingHref) => { + const isListingReferrer = + listingHref === referredRelativePath || + listingHref === referredRelativePath + "index.html"; + return isListingReferrer; + }); + + if (referrerListing) { + // Try to use the referrer if possible + activateCategories(referrerListing); + } else if (listingHrefs.length > 0) { + // Otherwise, just fall back to the first listing + activateCategories(listingHrefs[0]); + } + } + }); + } + } + if (hasTitleCategories()) { + findAndActivateCategories(); + } + + const findNearestParentListing = (href, listingHrefs) => { + if (!href || !listingHrefs) { + return undefined; + } + // Look up the tree for a nearby linting and use that if we find one + const relativeParts = href.substring(1).split("/"); + while (relativeParts.length > 0) { + const path = relativeParts.join("/"); + for (const listingHref of listingHrefs) { + if (listingHref.startsWith(path)) { + return listingHref; + } + } + relativeParts.pop(); + } + + return undefined; + }; + + const manageSidebarVisiblity = (el, placeholderDescriptor) => { + let isVisible = true; + let elRect; + + return (hiddenRegions) => { + if (el === null) { + return; + } + + // Find the last element of the TOC + const lastChildEl = el.lastElementChild; + + if (lastChildEl) { + // Converts the sidebar to a menu + const convertToMenu = () => { + for (const child of el.children) { + child.style.opacity = 0; + child.style.overflow = "hidden"; + child.style.pointerEvents = "none"; + } + + nexttick(() => { + const toggleContainer = window.document.createElement("div"); + toggleContainer.style.width = "100%"; + toggleContainer.classList.add("zindex-over-content"); + toggleContainer.classList.add("quarto-sidebar-toggle"); + toggleContainer.classList.add("headroom-target"); // Marks this to be managed by headeroom + toggleContainer.id = placeholderDescriptor.id; + toggleContainer.style.position = "fixed"; + + const toggleIcon = window.document.createElement("i"); + toggleIcon.classList.add("quarto-sidebar-toggle-icon"); + toggleIcon.classList.add("bi"); + toggleIcon.classList.add("bi-caret-down-fill"); + + const toggleTitle = window.document.createElement("div"); + const titleEl = window.document.body.querySelector( + placeholderDescriptor.titleSelector + ); + if (titleEl) { + toggleTitle.append( + titleEl.textContent || titleEl.innerText, + toggleIcon + ); + } + toggleTitle.classList.add("zindex-over-content"); + toggleTitle.classList.add("quarto-sidebar-toggle-title"); + toggleContainer.append(toggleTitle); + + const toggleContents = window.document.createElement("div"); + toggleContents.classList = el.classList; + toggleContents.classList.add("zindex-over-content"); + toggleContents.classList.add("quarto-sidebar-toggle-contents"); + for (const child of el.children) { + if (child.id === "toc-title") { + continue; + } + + const clone = child.cloneNode(true); + clone.style.opacity = 1; + clone.style.pointerEvents = null; + clone.style.display = null; + toggleContents.append(clone); + } + toggleContents.style.height = "0px"; + const positionToggle = () => { + // position the element (top left of parent, same width as parent) + if (!elRect) { + elRect = el.getBoundingClientRect(); + } + toggleContainer.style.left = `${elRect.left}px`; + toggleContainer.style.top = `${elRect.top}px`; + toggleContainer.style.width = `${elRect.width}px`; + }; + positionToggle(); + + toggleContainer.append(toggleContents); + el.parentElement.prepend(toggleContainer); + + // Process clicks + let tocShowing = false; + // Allow the caller to control whether this is dismissed + // when it is clicked (e.g. sidebar navigation supports + // opening and closing the nav tree, so don't dismiss on click) + const clickEl = placeholderDescriptor.dismissOnClick + ? toggleContainer + : toggleTitle; + + const closeToggle = () => { + if (tocShowing) { + toggleContainer.classList.remove("expanded"); + toggleContents.style.height = "0px"; + tocShowing = false; + } + }; + + // Get rid of any expanded toggle if the user scrolls + window.document.addEventListener( + "scroll", + throttle(() => { + closeToggle(); + }, 50) + ); + + // Handle positioning of the toggle + window.addEventListener( + "resize", + throttle(() => { + elRect = undefined; + positionToggle(); + }, 50) + ); + + window.addEventListener("quarto-hrChanged", () => { + elRect = undefined; + }); + + // Process the click + clickEl.onclick = () => { + if (!tocShowing) { + toggleContainer.classList.add("expanded"); + toggleContents.style.height = null; + tocShowing = true; + } else { + closeToggle(); + } + }; + }); + }; + + // Converts a sidebar from a menu back to a sidebar + const convertToSidebar = () => { + for (const child of el.children) { + child.style.opacity = 1; + child.style.overflow = null; + child.style.pointerEvents = null; + } + + const placeholderEl = window.document.getElementById( + placeholderDescriptor.id + ); + if (placeholderEl) { + placeholderEl.remove(); + } + + el.classList.remove("rollup"); + }; + + if (isReaderMode()) { + convertToMenu(); + isVisible = false; + } else { + // Find the top and bottom o the element that is being managed + const elTop = el.offsetTop; + const elBottom = + elTop + lastChildEl.offsetTop + lastChildEl.offsetHeight; + + if (!isVisible) { + // If the element is current not visible reveal if there are + // no conflicts with overlay regions + if (!inHiddenRegion(elTop, elBottom, hiddenRegions)) { + convertToSidebar(); + isVisible = true; + } + } else { + // If the element is visible, hide it if it conflicts with overlay regions + // and insert a placeholder toggle (or if we're in reader mode) + if (inHiddenRegion(elTop, elBottom, hiddenRegions)) { + convertToMenu(); + isVisible = false; + } + } + } + } + }; + }; + + const tabEls = document.querySelectorAll('a[data-bs-toggle="tab"]'); + for (const tabEl of tabEls) { + const id = tabEl.getAttribute("data-bs-target"); + if (id) { + const columnEl = document.querySelector( + `${id} .column-margin, .tabset-margin-content` + ); + if (columnEl) + tabEl.addEventListener("shown.bs.tab", function (event) { + const el = event.srcElement; + if (el) { + const visibleCls = `${el.id}-margin-content`; + // walk up until we find a parent tabset + let panelTabsetEl = el.parentElement; + while (panelTabsetEl) { + if (panelTabsetEl.classList.contains("panel-tabset")) { + break; + } + panelTabsetEl = panelTabsetEl.parentElement; + } + + if (panelTabsetEl) { + const prevSib = panelTabsetEl.previousElementSibling; + if ( + prevSib && + prevSib.classList.contains("tabset-margin-container") + ) { + const childNodes = prevSib.querySelectorAll( + ".tabset-margin-content" + ); + for (const childEl of childNodes) { + if (childEl.classList.contains(visibleCls)) { + childEl.classList.remove("collapse"); + } else { + childEl.classList.add("collapse"); + } + } + } + } + } + + layoutMarginEls(); + }); + } + } + + // Manage the visibility of the toc and the sidebar + const marginScrollVisibility = manageSidebarVisiblity(marginSidebarEl, { + id: "quarto-toc-toggle", + titleSelector: "#toc-title", + dismissOnClick: true, + }); + const sidebarScrollVisiblity = manageSidebarVisiblity(sidebarEl, { + id: "quarto-sidebarnav-toggle", + titleSelector: ".title", + dismissOnClick: false, + }); + let tocLeftScrollVisibility; + if (leftTocEl) { + tocLeftScrollVisibility = manageSidebarVisiblity(leftTocEl, { + id: "quarto-lefttoc-toggle", + titleSelector: "#toc-title", + dismissOnClick: true, + }); + } + + // Find the first element that uses formatting in special columns + const conflictingEls = window.document.body.querySelectorAll( + '[class^="column-"], [class*=" column-"], aside, [class*="margin-caption"], [class*=" margin-caption"], [class*="margin-ref"], [class*=" margin-ref"]' + ); + + // Filter all the possibly conflicting elements into ones + // the do conflict on the left or ride side + const arrConflictingEls = Array.from(conflictingEls); + const leftSideConflictEls = arrConflictingEls.filter((el) => { + if (el.tagName === "ASIDE") { + return false; + } + return Array.from(el.classList).find((className) => { + return ( + className !== "column-body" && + className.startsWith("column-") && + !className.endsWith("right") && + !className.endsWith("container") && + className !== "column-margin" + ); + }); + }); + const rightSideConflictEls = arrConflictingEls.filter((el) => { + if (el.tagName === "ASIDE") { + return true; + } + + const hasMarginCaption = Array.from(el.classList).find((className) => { + return className == "margin-caption"; + }); + if (hasMarginCaption) { + return true; + } + + return Array.from(el.classList).find((className) => { + return ( + className !== "column-body" && + !className.endsWith("container") && + className.startsWith("column-") && + !className.endsWith("left") + ); + }); + }); + + const kOverlapPaddingSize = 10; + function toRegions(els) { + return els.map((el) => { + const boundRect = el.getBoundingClientRect(); + const top = + boundRect.top + + document.documentElement.scrollTop - + kOverlapPaddingSize; + return { + top, + bottom: top + el.scrollHeight + 2 * kOverlapPaddingSize, + }; + }); + } + + let hasObserved = false; + const visibleItemObserver = (els) => { + let visibleElements = [...els]; + const intersectionObserver = new IntersectionObserver( + (entries, _observer) => { + entries.forEach((entry) => { + if (entry.isIntersecting) { + if (visibleElements.indexOf(entry.target) === -1) { + visibleElements.push(entry.target); + } + } else { + visibleElements = visibleElements.filter((visibleEntry) => { + return visibleEntry !== entry; + }); + } + }); + + if (!hasObserved) { + hideOverlappedSidebars(); + } + hasObserved = true; + }, + {} + ); + els.forEach((el) => { + intersectionObserver.observe(el); + }); + + return { + getVisibleEntries: () => { + return visibleElements; + }, + }; + }; + + const rightElementObserver = visibleItemObserver(rightSideConflictEls); + const leftElementObserver = visibleItemObserver(leftSideConflictEls); + + const hideOverlappedSidebars = () => { + marginScrollVisibility(toRegions(rightElementObserver.getVisibleEntries())); + sidebarScrollVisiblity(toRegions(leftElementObserver.getVisibleEntries())); + if (tocLeftScrollVisibility) { + tocLeftScrollVisibility( + toRegions(leftElementObserver.getVisibleEntries()) + ); + } + }; + + window.quartoToggleReader = () => { + // Applies a slow class (or removes it) + // to update the transition speed + const slowTransition = (slow) => { + const manageTransition = (id, slow) => { + const el = document.getElementById(id); + if (el) { + if (slow) { + el.classList.add("slow"); + } else { + el.classList.remove("slow"); + } + } + }; + + manageTransition("TOC", slow); + manageTransition("quarto-sidebar", slow); + }; + const readerMode = !isReaderMode(); + setReaderModeValue(readerMode); + + // If we're entering reader mode, slow the transition + if (readerMode) { + slowTransition(readerMode); + } + highlightReaderToggle(readerMode); + hideOverlappedSidebars(); + + // If we're exiting reader mode, restore the non-slow transition + if (!readerMode) { + slowTransition(!readerMode); + } + }; + + const highlightReaderToggle = (readerMode) => { + const els = document.querySelectorAll(".quarto-reader-toggle"); + if (els) { + els.forEach((el) => { + if (readerMode) { + el.classList.add("reader"); + } else { + el.classList.remove("reader"); + } + }); + } + }; + + const setReaderModeValue = (val) => { + if (window.location.protocol !== "file:") { + window.localStorage.setItem("quarto-reader-mode", val); + } else { + localReaderMode = val; + } + }; + + const isReaderMode = () => { + if (window.location.protocol !== "file:") { + return window.localStorage.getItem("quarto-reader-mode") === "true"; + } else { + return localReaderMode; + } + }; + let localReaderMode = null; + + const tocOpenDepthStr = tocEl?.getAttribute("data-toc-expanded"); + const tocOpenDepth = tocOpenDepthStr ? Number(tocOpenDepthStr) : 1; + + // Walk the TOC and collapse/expand nodes + // Nodes are expanded if: + // - they are top level + // - they have children that are 'active' links + // - they are directly below an link that is 'active' + const walk = (el, depth) => { + // Tick depth when we enter a UL + if (el.tagName === "UL") { + depth = depth + 1; + } + + // It this is active link + let isActiveNode = false; + if (el.tagName === "A" && el.classList.contains("active")) { + isActiveNode = true; + } + + // See if there is an active child to this element + let hasActiveChild = false; + for (child of el.children) { + hasActiveChild = walk(child, depth) || hasActiveChild; + } + + // Process the collapse state if this is an UL + if (el.tagName === "UL") { + if (tocOpenDepth === -1 && depth > 1) { + // toc-expand: false + el.classList.add("collapse"); + } else if ( + depth <= tocOpenDepth || + hasActiveChild || + prevSiblingIsActiveLink(el) + ) { + el.classList.remove("collapse"); + } else { + el.classList.add("collapse"); + } + + // untick depth when we leave a UL + depth = depth - 1; + } + return hasActiveChild || isActiveNode; + }; + + // walk the TOC and expand / collapse any items that should be shown + if (tocEl) { + updateActiveLink(); + walk(tocEl, 0); + } + + // Throttle the scroll event and walk peridiocally + window.document.addEventListener( + "scroll", + throttle(() => { + if (tocEl) { + updateActiveLink(); + walk(tocEl, 0); + } + if (!isReaderMode()) { + hideOverlappedSidebars(); + } + }, 5) + ); + window.addEventListener( + "resize", + throttle(() => { + if (tocEl) { + updateActiveLink(); + walk(tocEl, 0); + } + if (!isReaderMode()) { + hideOverlappedSidebars(); + } + }, 10) + ); + hideOverlappedSidebars(); + highlightReaderToggle(isReaderMode()); +}); + +// grouped tabsets +window.addEventListener("pageshow", (_event) => { + function getTabSettings() { + const data = localStorage.getItem("quarto-persistent-tabsets-data"); + if (!data) { + localStorage.setItem("quarto-persistent-tabsets-data", "{}"); + return {}; + } + if (data) { + return JSON.parse(data); + } + } + + function setTabSettings(data) { + localStorage.setItem( + "quarto-persistent-tabsets-data", + JSON.stringify(data) + ); + } + + function setTabState(groupName, groupValue) { + const data = getTabSettings(); + data[groupName] = groupValue; + setTabSettings(data); + } + + function toggleTab(tab, active) { + const tabPanelId = tab.getAttribute("aria-controls"); + const tabPanel = document.getElementById(tabPanelId); + if (active) { + tab.classList.add("active"); + tabPanel.classList.add("active"); + } else { + tab.classList.remove("active"); + tabPanel.classList.remove("active"); + } + } + + function toggleAll(selectedGroup, selectorsToSync) { + for (const [thisGroup, tabs] of Object.entries(selectorsToSync)) { + const active = selectedGroup === thisGroup; + for (const tab of tabs) { + toggleTab(tab, active); + } + } + } + + function findSelectorsToSyncByLanguage() { + const result = {}; + const tabs = Array.from( + document.querySelectorAll(`div[data-group] a[id^='tabset-']`) + ); + for (const item of tabs) { + const div = item.parentElement.parentElement.parentElement; + const group = div.getAttribute("data-group"); + if (!result[group]) { + result[group] = {}; + } + const selectorsToSync = result[group]; + const value = item.innerHTML; + if (!selectorsToSync[value]) { + selectorsToSync[value] = []; + } + selectorsToSync[value].push(item); + } + return result; + } + + function setupSelectorSync() { + const selectorsToSync = findSelectorsToSyncByLanguage(); + Object.entries(selectorsToSync).forEach(([group, tabSetsByValue]) => { + Object.entries(tabSetsByValue).forEach(([value, items]) => { + items.forEach((item) => { + item.addEventListener("click", (_event) => { + setTabState(group, value); + toggleAll(value, selectorsToSync[group]); + }); + }); + }); + }); + return selectorsToSync; + } + + const selectorsToSync 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a/_quarto.yml +++ b/_quarto.yml @@ -25,6 +25,7 @@ book: - Chapters/14-zig-c-interop.qmd - Chapters/13-image-filter.qmd - Chapters/14-threads.qmd + - Chapters/15-vectors.qmd - references.qmd bibliography: references.bib diff --git a/docs/Chapters/01-base64.html b/docs/Chapters/01-base64.html index 0859006e..8526ef4e 100644 --- a/docs/Chapters/01-base64.html +++ b/docs/Chapters/01-base64.html @@ -295,6 +295,12 @@ 16  Introducing threads and parallelism in Zig + +
  • +
    + + 17  Introducing Vectors and SIMD +
  • diff --git a/docs/Chapters/01-memory.html b/docs/Chapters/01-memory.html index 95bd9a07..aad4942f 100644 --- a/docs/Chapters/01-memory.html +++ b/docs/Chapters/01-memory.html @@ -266,6 +266,12 @@ 16  Introducing threads and parallelism in Zig
    +
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  • diff --git a/docs/Chapters/01-zig-weird.html b/docs/Chapters/01-zig-weird.html index 7a2450ee..bcdd8025 100644 --- a/docs/Chapters/01-zig-weird.html +++ b/docs/Chapters/01-zig-weird.html @@ -266,6 +266,12 @@ 16  Introducing threads and parallelism in Zig
    +
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  • @@ -348,7 +354,7 @@

    1 

    1.1 What is Zig?

    Zig is a modern, low-level, and general-purpose programming language. Some programmers think of Zig as a modern and better version of C.

    -

    In the author’s personal interpretation, Zig is tightly connected with “less is more”. Instead of trying to become a modern language by adding more and more features, many of the core improvements that Zig brings to the table are actually about removing annoying and evil behaviours/features from C and C++. In other words, Zig tries to be better by simplifying the language, and by having more consistent and robust behaviour. As a result, analyzing, writing and debugging applications become much easier and simpler in Zig, than it is in C or C++.

    +

    In the author’s personal interpretation, Zig is tightly connected with “less is more”. Instead of trying to become a modern language by adding more and more features, many of the core improvements that Zig brings to the table are actually about removing annoying behaviours/features from C and C++. In other words, Zig tries to be better by simplifying the language, and by having more consistent and robust behaviour. As a result, analyzing, writing and debugging applications become much easier and simpler in Zig, than it is in C or C++.

    This philosophy becomes clear with the following phrase from the official website of Zig:

    “Focus on debugging your application rather than debugging your programming language knowledge”.

    @@ -959,7 +965,7 @@

    How to use arrays and slices at Section 1.6.

  • How to import functionality from other Zig modules at Section 1.2.2.
    • -

    But, for now, this amount of knowledge is enough for us to continue with this book. Later, over the next chapters we will still talk more about other parts of Zig’s syntax that are also equally important as the other parts. Such as:

    +

    But, for now, this amount of knowledge is enough for us to continue with this book. Later, over the next chapters we will still talk more about other parts of Zig’s syntax that are also equally important. Such as:

    diff --git a/docs/Chapters/02-debugging.html b/docs/Chapters/02-debugging.html index 70cc3059..fc680a5a 100644 --- a/docs/Chapters/02-debugging.html +++ b/docs/Chapters/02-debugging.html @@ -246,6 +246,12 @@ 16  Introducing threads and parallelism in Zig + +
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  • diff --git a/docs/Chapters/03-structs.html b/docs/Chapters/03-structs.html index ada33998..c86e2f9a 100644 --- a/docs/Chapters/03-structs.html +++ b/docs/Chapters/03-structs.html @@ -246,6 +246,12 @@ 16  Introducing threads and parallelism in Zig
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  • diff --git a/docs/Chapters/04-http-server.html b/docs/Chapters/04-http-server.html index ddc686b6..c918e1af 100644 --- a/docs/Chapters/04-http-server.html +++ b/docs/Chapters/04-http-server.html @@ -266,6 +266,12 @@ 16  Introducing threads and parallelism in Zig
    +
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  • diff --git a/docs/Chapters/05-pointers.html b/docs/Chapters/05-pointers.html index ccc11d25..493906c0 100644 --- a/docs/Chapters/05-pointers.html +++ b/docs/Chapters/05-pointers.html @@ -266,6 +266,12 @@ 16  Introducing threads and parallelism in Zig
    +
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  • diff --git a/docs/Chapters/07-build-system.html b/docs/Chapters/07-build-system.html index 3c21043b..4cfb7c23 100644 --- a/docs/Chapters/07-build-system.html +++ b/docs/Chapters/07-build-system.html @@ -246,6 +246,12 @@ 16  Introducing threads and parallelism in Zig
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  • diff --git a/docs/Chapters/09-data-structures.html b/docs/Chapters/09-data-structures.html index dec99850..0f6dd042 100644 --- a/docs/Chapters/09-data-structures.html +++ b/docs/Chapters/09-data-structures.html @@ -295,6 +295,12 @@ 16  Introducing threads and parallelism in Zig
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  • diff --git a/docs/Chapters/09-error-handling.html b/docs/Chapters/09-error-handling.html index 9c32b5ef..0835e3c5 100644 --- a/docs/Chapters/09-error-handling.html +++ b/docs/Chapters/09-error-handling.html @@ -295,6 +295,12 @@ 16  Introducing threads and parallelism in Zig
    +
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  • diff --git a/docs/Chapters/10-stack-project.html b/docs/Chapters/10-stack-project.html index 376d6798..87664384 100644 --- a/docs/Chapters/10-stack-project.html +++ b/docs/Chapters/10-stack-project.html @@ -266,6 +266,12 @@ 16  Introducing threads and parallelism in Zig
    +
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  • diff --git a/docs/Chapters/12-file-op.html b/docs/Chapters/12-file-op.html index e7890030..8c1fb163 100644 --- a/docs/Chapters/12-file-op.html +++ b/docs/Chapters/12-file-op.html @@ -295,6 +295,12 @@ 16  Introducing threads and parallelism in Zig
    +
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  • diff --git a/docs/Chapters/13-image-filter.html b/docs/Chapters/13-image-filter.html index fb6423ef..31243521 100644 --- a/docs/Chapters/13-image-filter.html +++ b/docs/Chapters/13-image-filter.html @@ -295,6 +295,12 @@ 16  Introducing threads and parallelism in Zig
    +
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  • diff --git a/docs/Chapters/14-threads.html b/docs/Chapters/14-threads.html index 0dac3878..731c6221 100644 --- a/docs/Chapters/14-threads.html +++ b/docs/Chapters/14-threads.html @@ -84,7 +84,7 @@ - + @@ -295,6 +295,12 @@ 16  Introducing threads and parallelism in Zig
    +
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  • @@ -1497,8 +1503,8 @@

    - - References + + 17  Introducing Vectors and SIMD

    diff --git a/docs/Chapters/14-zig-c-interop.html b/docs/Chapters/14-zig-c-interop.html index 95892ec4..2fe7ad9d 100644 --- a/docs/Chapters/14-zig-c-interop.html +++ b/docs/Chapters/14-zig-c-interop.html @@ -246,6 +246,12 @@ 16  Introducing threads and parallelism in Zig +
    • +
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    + + 17  Introducing Vectors and SIMD +
  • diff --git a/docs/Chapters/15-vectors.html b/docs/Chapters/15-vectors.html new file mode 100644 index 00000000..7d6a6e54 --- /dev/null +++ b/docs/Chapters/15-vectors.html @@ -0,0 +1,985 @@ + + + + + + + + + +17  Introducing Vectors and SIMD – Introduction to Zig: a project-based book + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    +
    + +
    + +
    + + +
    + + + +
    + +
    +
    +

    17  Introducing Vectors and SIMD

    +
    + + + +
    + + + + +
    + + + +
    + + +

    In this chapter, I’m going to discuss vectors in Zig, which are related to SIMD operations (i.e. they have no relationship with the std::vector class from C++).

    +
    +

    17.1 What is SIMD?

    +

    SIMD (Single Instruction/Multiple Data) is a group of operations that are widely used on video/audio editing programs, and also in graphics applications. SIMD is not a new technology, but the massive use of SIMD on normal desktop computers is somewhat recent. In the old days, SIMD was only used on “supercomputers models”.

    +

    Most modern CPU models (from AMD, Intel, etc.) these days (either in a desktop or in a notebook model) have support for SIMD operations. So, if you have a very old CPU model installed in your computer, then, is possible that you have no support for SIMD operations in your computer.

    +

    Why people have started using SIMD on their software? The answer is performance. But what SIMD precisely do to achieve better performance? Well, in essence, SIMD operations are a different strategy to get parallel computing in your program, and therefore, make faster calculations.

    +

    The basic idea behind SIMD is to have a single instruction that operates over multiple data at the same time. When you perform a normal scalar operation, like for example, four add instructions, each addition is performed separately, one after another. But with SIMD, these four add instructions are translated into a single instruction, and, as consequence, the four additions are performed in parallel, at the same time.

    +

    Currently, the following group of operators are allowed to use on vector objects. All of these operators are applied element-wise and in parallel by default.

    +
      +
    • Arithmetic (+, -, /, *, @divFloor(), @sqrt(), @ceil(), @log(), etc.).
      • +
    • Bitwise operators (>>, <<, &, |, ~, etc.).
      • +
    • Comparison operators (<, >, ==, etc.).
      • +
    +
    +
    +

    17.2 Vectors

    +

    A SIMD operation is usually performed through a “SIMD intrinsic”, which is just a fancy name for a function that performs a SIMD operation. These SIMD intrinsics (or “SIMD functions”) always operate over a special type of object, which are called “vectors”. So, in order to use SIMD, you have to create a “vector object”.

    +

    A vector object is usually a fixed-sized block of 128 bits (16 bytes). As consequence, most vectors that you find in the wild are essentially arrays that contains 2 values of 8 bytes each, or, 4 values of 4 bytes each, or, 8 values of 2 bytes each, etc. However, different CPU models may have different extensions (or, “implementations”) of SIMD, which may offer more types of vector objects that are bigger in size (256 bits or 512 bits) to accomodate more data into a single vector object.

    +

    You can create a new vector object in Zig by using the @Vector() built-in function. Inside this function, you specify the vector length (number of elements in the vector), and the data type of the elements of the vector. Only primitive data types are supported in these vector objects. In the example below, I’m creating two vector objects (v1 and v2) of 4 elements of type u32 each.

    +

    Also notice in the example below, that a third vector object (v3) is created from the sum of the previous two vector objects (v1 plus v2). Therefore, math operations over vector objects take place element-wise by default, because the same operation (in this case, addition) is transformed into a single instruction that is replicated in parallel, across all elements of the vectors.

    +
    +
    const v1 = @Vector(4, u32){4, 12, 37, 9};
+const v2 = @Vector(4, u32){10, 22, 5, 12};
+const v3 = v1 + v2;
+try stdout.print("{any}\n", .{v3});
    +
    +
    { 14, 34, 42, 21 }
    +
    +
    +

    This is how SIMD introduces more performance in your program. Instead of using a for loop to iterate through the elements of v1 and v2, and adding them together, one element at a time, we enjoy the benefits of SIMD, which performs all 4 additions in parallel, at the same time.

    +

    Therefore, the @Vector structure in Zig is essentially, the Zig representation of SIMD vector objects. But the elements on these vector objects will be operated in parallel, if, and only if your current CPU model supports SIMD operations. If your CPU model does not support SIMD, then, the @Vector structure will likely produce a similar performance from a “for loop solution”.

    +
    +

    17.2.1 Transforming arrays into vectors

    +

    There are different ways you can transform a normal array into a vector object. You can either use implicit conversion (which is when you assign the array to a vector object directly), or, use slices to create a vector object from a normal array.

    +

    In the example below, we implicitly convert the array a1 into a vector object (v1) of length 4. All we had to do was to just explicitly annotate the data type of the vector object, and then, assign the array object to this vector object.

    +

    Also notice in the example below, that a second vector object (v2) is also created by taking a slice of the array object (a1), and then, storing the pointer to this slice (.*) into this vector object.

    +
    +
    const a1 = [4]u32{4, 12, 37, 9};
+const v1: @Vector(4, u32) = a1;
+const v2: @Vector(2, u32) = a1[1..3].*;
+_ = v1; _ = v2;
    +
    +

    Is worth emphasizing that only arrays and slices whose sizes are compile-time known can be transformed into vectors. Vectors in general are structures that work only with compile-time known sizes. Therefore, if you have an array whose size is runtime known, then, you first need to copy it into an array with a compile-time known size, before transforming it into a vector.

    +
    +
    +

    17.2.2 The @splat() function

    +

    You can use the @splat() built-in function to create a vector object that is filled with the same value across all of it’s elements. This function was created to offer a quick and easy way to directly convert a scalar value (a.k.a. a single value, like a single character, or a single integer, etc.) into a vector object.

    +

    Thus, we can use @splat() to convert a single value, like the integer 16 into a vector object of length 1. But we can also use this function to convert the same integer 16 into a vector object of length 10, that is filled with 10 16 values. The example below demonstrates this idea.

    +
    +
    const v1: @Vector(10, u32) = @splat(16);
+try stdout.print("{any}\n", .{v1});
    +
    +
    { 16, 16, 16, 16, 16, 16, 16, 16, 16, 16 }
    +
    +
    +
    +
    +

    17.2.3 Careful with vectors that are too big

    +

    As I described at Section 17.2, each vector object is usually a small block of 128, 256 or 512 bits. This means that a vector object is usually small in size, and when you try to go in the opposite direction, by creating a vector object in Zig that is very big in size (i.e. sizes that are close to \(2^{20}\)), you usually end up with crashes and loud errors from the compiler.

    +

    For example, if you try to compile the program below, you will likely face segmentation faults, or, LLVM errors during the build process. Just be careful to not create vector objects that are too big in size.

    +
    +
    const v1: @Vector(1000000, u32) = @splat(16);
+_ = v1;
    +
    +
    Segmentation fault (core dumped)
    + + +
    +
    + +
    + + +
    + + + + + \ No newline at end of file diff --git a/docs/Chapters/15-vectors_files/libs/bootstrap/bootstrap-icons.css b/docs/Chapters/15-vectors_files/libs/bootstrap/bootstrap-icons.css new file mode 100644 index 00000000..285e4448 --- /dev/null +++ b/docs/Chapters/15-vectors_files/libs/bootstrap/bootstrap-icons.css @@ -0,0 +1,2078 @@ +/*! + * Bootstrap Icons v1.11.1 (https://icons.getbootstrap.com/) + * Copyright 2019-2023 The Bootstrap Authors + * Licensed under MIT (https://github.com/twbs/icons/blob/main/LICENSE) + */ + +@font-face { + font-display: block; + font-family: "bootstrap-icons"; + src: +url("./bootstrap-icons.woff?2820a3852bdb9a5832199cc61cec4e65") format("woff"); +} + +.bi::before, +[class^="bi-"]::before, +[class*=" bi-"]::before { + display: inline-block; + font-family: bootstrap-icons !important; + font-style: normal; + font-weight: normal !important; + font-variant: normal; + text-transform: none; + line-height: 1; + vertical-align: -.125em; + 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30'%3e%3cpath stroke='%23fdfefe' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/%3e%3c/svg%3e")}[data-bs-theme=dark] .navbar-toggler-icon{--bs-navbar-toggler-icon-bg: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 30 30'%3e%3cpath stroke='%23fdfefe' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/%3e%3c/svg%3e")}.card{--bs-card-spacer-y: 1rem;--bs-card-spacer-x: 1rem;--bs-card-title-spacer-y: 0.5rem;--bs-card-title-color: ;--bs-card-subtitle-color: ;--bs-card-border-width: 1px;--bs-card-border-color: rgba(0, 0, 0, 0.175);--bs-card-border-radius: 0.375rem;--bs-card-box-shadow: ;--bs-card-inner-border-radius: calc(0.375rem - 1px);--bs-card-cap-padding-y: 0.5rem;--bs-card-cap-padding-x: 1rem;--bs-card-cap-bg: rgba(33, 37, 41, 0.03);--bs-card-cap-color: ;--bs-card-height: ;--bs-card-color: ;--bs-card-bg: #ffffff;--bs-card-img-overlay-padding: 1rem;--bs-card-group-margin: 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var(--bs-card-spacer-x);color:var(--bs-card-color)}.card-title{margin-bottom:var(--bs-card-title-spacer-y);color:var(--bs-card-title-color)}.card-subtitle{margin-top:calc(-0.5*var(--bs-card-title-spacer-y));margin-bottom:0;color:var(--bs-card-subtitle-color)}.card-text:last-child{margin-bottom:0}.card-link+.card-link{margin-left:var(--bs-card-spacer-x)}.card-header{padding:var(--bs-card-cap-padding-y) var(--bs-card-cap-padding-x);margin-bottom:0;color:var(--bs-card-cap-color);background-color:var(--bs-card-cap-bg);border-bottom:var(--bs-card-border-width) solid var(--bs-card-border-color)}.card-header:first-child{border-radius:var(--bs-card-inner-border-radius) var(--bs-card-inner-border-radius) 0 0}.card-footer{padding:var(--bs-card-cap-padding-y) var(--bs-card-cap-padding-x);color:var(--bs-card-cap-color);background-color:var(--bs-card-cap-bg);border-top:var(--bs-card-border-width) solid var(--bs-card-border-color)}.card-footer:last-child{border-radius:0 0 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.nav-link.active{background-color:var(--bs-card-bg);border-bottom-color:var(--bs-card-bg)}.card-header-pills{margin-right:calc(-0.5*var(--bs-card-cap-padding-x));margin-left:calc(-0.5*var(--bs-card-cap-padding-x))}.card-img-overlay{position:absolute;top:0;right:0;bottom:0;left:0;padding:var(--bs-card-img-overlay-padding);border-radius:var(--bs-card-inner-border-radius)}.card-img,.card-img-top,.card-img-bottom{width:100%}.card-img,.card-img-top{border-top-left-radius:var(--bs-card-inner-border-radius);border-top-right-radius:var(--bs-card-inner-border-radius)}.card-img,.card-img-bottom{border-bottom-right-radius:var(--bs-card-inner-border-radius);border-bottom-left-radius:var(--bs-card-inner-border-radius)}.card-group>.card{margin-bottom:var(--bs-card-group-margin)}@media(min-width: 576px){.card-group{display:flex;display:-webkit-flex;flex-flow:row wrap;-webkit-flex-flow:row wrap}.card-group>.card{flex:1 0 0%;-webkit-flex:1 0 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.708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e");--bs-accordion-btn-focus-border-color: #86b7fe;--bs-accordion-btn-focus-box-shadow: 0 0 0 0.25rem rgba(13, 110, 253, 0.25);--bs-accordion-body-padding-x: 1.25rem;--bs-accordion-body-padding-y: 1rem;--bs-accordion-active-color: #052c65;--bs-accordion-active-bg: #cfe2ff}.accordion-button{position:relative;display:flex;display:-webkit-flex;align-items:center;-webkit-align-items:center;width:100%;padding:var(--bs-accordion-btn-padding-y) var(--bs-accordion-btn-padding-x);font-size:1rem;color:var(--bs-accordion-btn-color);text-align:left;background-color:var(--bs-accordion-btn-bg);border:0;border-radius:0;overflow-anchor:none;transition:var(--bs-accordion-transition)}@media(prefers-reduced-motion: reduce){.accordion-button{transition:none}}.accordion-button:not(.collapsed){color:var(--bs-accordion-active-color);background-color:var(--bs-accordion-active-bg);box-shadow:inset 0 calc(-1*var(--bs-accordion-border-width)) 0 var(--bs-accordion-border-color)}.accordion-button:not(.collapsed)::after{background-image:var(--bs-accordion-btn-active-icon);transform:var(--bs-accordion-btn-icon-transform)}.accordion-button::after{flex-shrink:0;-webkit-flex-shrink:0;width:var(--bs-accordion-btn-icon-width);height:var(--bs-accordion-btn-icon-width);margin-left:auto;content:"";background-image:var(--bs-accordion-btn-icon);background-repeat:no-repeat;background-size:var(--bs-accordion-btn-icon-width);transition:var(--bs-accordion-btn-icon-transition)}@media(prefers-reduced-motion: reduce){.accordion-button::after{transition:none}}.accordion-button:hover{z-index:2}.accordion-button:focus{z-index:3;border-color:var(--bs-accordion-btn-focus-border-color);outline:0;box-shadow:var(--bs-accordion-btn-focus-box-shadow)}.accordion-header{margin-bottom:0}.accordion-item{color:var(--bs-accordion-color);background-color:var(--bs-accordion-bg);border:var(--bs-accordion-border-width) solid var(--bs-accordion-border-color)}.accordion-item:first-of-type{border-top-left-radius:var(--bs-accordion-border-radius);border-top-right-radius:var(--bs-accordion-border-radius)}.accordion-item:first-of-type .accordion-button{border-top-left-radius:var(--bs-accordion-inner-border-radius);border-top-right-radius:var(--bs-accordion-inner-border-radius)}.accordion-item:not(:first-of-type){border-top:0}.accordion-item:last-of-type{border-bottom-right-radius:var(--bs-accordion-border-radius);border-bottom-left-radius:var(--bs-accordion-border-radius)}.accordion-item:last-of-type .accordion-button.collapsed{border-bottom-right-radius:var(--bs-accordion-inner-border-radius);border-bottom-left-radius:var(--bs-accordion-inner-border-radius)}.accordion-item:last-of-type .accordion-collapse{border-bottom-right-radius:var(--bs-accordion-border-radius);border-bottom-left-radius:var(--bs-accordion-border-radius)}.accordion-body{padding:var(--bs-accordion-body-padding-y) var(--bs-accordion-body-padding-x)}.accordion-flush .accordion-collapse{border-width:0}.accordion-flush .accordion-item{border-right:0;border-left:0;border-radius:0}.accordion-flush .accordion-item:first-child{border-top:0}.accordion-flush .accordion-item:last-child{border-bottom:0}.accordion-flush .accordion-item .accordion-button,.accordion-flush .accordion-item .accordion-button.collapsed{border-radius:0}[data-bs-theme=dark] .accordion-button::after{--bs-accordion-btn-icon: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%236ea8fe'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e");--bs-accordion-btn-active-icon: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%236ea8fe'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e")}.breadcrumb{--bs-breadcrumb-padding-x: 0;--bs-breadcrumb-padding-y: 0;--bs-breadcrumb-margin-bottom: 1rem;--bs-breadcrumb-bg: ;--bs-breadcrumb-border-radius: ;--bs-breadcrumb-divider-color: rgba(33, 37, 41, 0.75);--bs-breadcrumb-item-padding-x: 0.5rem;--bs-breadcrumb-item-active-color: rgba(33, 37, 41, 0.75);display:flex;display:-webkit-flex;flex-wrap:wrap;-webkit-flex-wrap:wrap;padding:var(--bs-breadcrumb-padding-y) var(--bs-breadcrumb-padding-x);margin-bottom:var(--bs-breadcrumb-margin-bottom);font-size:var(--bs-breadcrumb-font-size);list-style:none;background-color:var(--bs-breadcrumb-bg);border-radius:var(--bs-breadcrumb-border-radius)}.breadcrumb-item+.breadcrumb-item{padding-left:var(--bs-breadcrumb-item-padding-x)}.breadcrumb-item+.breadcrumb-item::before{float:left;padding-right:var(--bs-breadcrumb-item-padding-x);color:var(--bs-breadcrumb-divider-color);content:var(--bs-breadcrumb-divider, ">") /* rtl: var(--bs-breadcrumb-divider, ">") */}.breadcrumb-item.active{color:var(--bs-breadcrumb-item-active-color)}.pagination{--bs-pagination-padding-x: 0.75rem;--bs-pagination-padding-y: 0.375rem;--bs-pagination-font-size:1rem;--bs-pagination-color: #0d6efd;--bs-pagination-bg: #ffffff;--bs-pagination-border-width: 1px;--bs-pagination-border-color: #dee2e6;--bs-pagination-border-radius: 0.375rem;--bs-pagination-hover-color: #0a58ca;--bs-pagination-hover-bg: #f8f9fa;--bs-pagination-hover-border-color: #dee2e6;--bs-pagination-focus-color: #0a58ca;--bs-pagination-focus-bg: #e9ecef;--bs-pagination-focus-box-shadow: 0 0 0 0.25rem rgba(13, 110, 253, 0.25);--bs-pagination-active-color: #ffffff;--bs-pagination-active-bg: #0d6efd;--bs-pagination-active-border-color: #0d6efd;--bs-pagination-disabled-color: rgba(33, 37, 41, 0.75);--bs-pagination-disabled-bg: #e9ecef;--bs-pagination-disabled-border-color: #dee2e6;display:flex;display:-webkit-flex;padding-left:0;list-style:none}.page-link{position:relative;display:block;padding:var(--bs-pagination-padding-y) var(--bs-pagination-padding-x);font-size:var(--bs-pagination-font-size);color:var(--bs-pagination-color);text-decoration:none;-webkit-text-decoration:none;-moz-text-decoration:none;-ms-text-decoration:none;-o-text-decoration:none;background-color:var(--bs-pagination-bg);border:var(--bs-pagination-border-width) solid var(--bs-pagination-border-color);transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out}@media(prefers-reduced-motion: reduce){.page-link{transition:none}}.page-link:hover{z-index:2;color:var(--bs-pagination-hover-color);background-color:var(--bs-pagination-hover-bg);border-color:var(--bs-pagination-hover-border-color)}.page-link:focus{z-index:3;color:var(--bs-pagination-focus-color);background-color:var(--bs-pagination-focus-bg);outline:0;box-shadow:var(--bs-pagination-focus-box-shadow)}.page-link.active,.active>.page-link{z-index:3;color:var(--bs-pagination-active-color);background-color:var(--bs-pagination-active-bg);border-color:var(--bs-pagination-active-border-color)}.page-link.disabled,.disabled>.page-link{color:var(--bs-pagination-disabled-color);pointer-events:none;background-color:var(--bs-pagination-disabled-bg);border-color:var(--bs-pagination-disabled-border-color)}.page-item:not(:first-child) .page-link{margin-left:calc(1px*-1)}.page-item:first-child .page-link{border-top-left-radius:var(--bs-pagination-border-radius);border-bottom-left-radius:var(--bs-pagination-border-radius)}.page-item:last-child .page-link{border-top-right-radius:var(--bs-pagination-border-radius);border-bottom-right-radius:var(--bs-pagination-border-radius)}.pagination-lg{--bs-pagination-padding-x: 1.5rem;--bs-pagination-padding-y: 0.75rem;--bs-pagination-font-size:1.25rem;--bs-pagination-border-radius: 0.5rem}.pagination-sm{--bs-pagination-padding-x: 0.5rem;--bs-pagination-padding-y: 0.25rem;--bs-pagination-font-size:0.875rem;--bs-pagination-border-radius: 0.25rem}.badge{--bs-badge-padding-x: 0.65em;--bs-badge-padding-y: 0.35em;--bs-badge-font-size:0.75em;--bs-badge-font-weight: 700;--bs-badge-color: #ffffff;--bs-badge-border-radius: 0.375rem;display:inline-block;padding:var(--bs-badge-padding-y) var(--bs-badge-padding-x);font-size:var(--bs-badge-font-size);font-weight:var(--bs-badge-font-weight);line-height:1;color:var(--bs-badge-color);text-align:center;white-space:nowrap;vertical-align:baseline;border-radius:var(--bs-badge-border-radius)}.badge:empty{display:none}.btn .badge{position:relative;top:-1px}.alert{--bs-alert-bg: transparent;--bs-alert-padding-x: 1rem;--bs-alert-padding-y: 1rem;--bs-alert-margin-bottom: 1rem;--bs-alert-color: inherit;--bs-alert-border-color: transparent;--bs-alert-border: 1px solid var(--bs-alert-border-color);--bs-alert-border-radius: 0.375rem;--bs-alert-link-color: inherit;position:relative;padding:var(--bs-alert-padding-y) var(--bs-alert-padding-x);margin-bottom:var(--bs-alert-margin-bottom);color:var(--bs-alert-color);background-color:var(--bs-alert-bg);border:var(--bs-alert-border);border-radius:var(--bs-alert-border-radius)}.alert-heading{color:inherit}.alert-link{font-weight:700;color:var(--bs-alert-link-color)}.alert-dismissible{padding-right:3rem}.alert-dismissible .btn-close{position:absolute;top:0;right:0;z-index:2;padding:1.25rem 1rem}.alert-default{--bs-alert-color: var(--bs-default-text-emphasis);--bs-alert-bg: var(--bs-default-bg-subtle);--bs-alert-border-color: var(--bs-default-border-subtle);--bs-alert-link-color: var(--bs-default-text-emphasis)}.alert-primary{--bs-alert-color: var(--bs-primary-text-emphasis);--bs-alert-bg: var(--bs-primary-bg-subtle);--bs-alert-border-color: var(--bs-primary-border-subtle);--bs-alert-link-color: var(--bs-primary-text-emphasis)}.alert-secondary{--bs-alert-color: var(--bs-secondary-text-emphasis);--bs-alert-bg: var(--bs-secondary-bg-subtle);--bs-alert-border-color: var(--bs-secondary-border-subtle);--bs-alert-link-color: var(--bs-secondary-text-emphasis)}.alert-success{--bs-alert-color: var(--bs-success-text-emphasis);--bs-alert-bg: var(--bs-success-bg-subtle);--bs-alert-border-color: var(--bs-success-border-subtle);--bs-alert-link-color: var(--bs-success-text-emphasis)}.alert-info{--bs-alert-color: var(--bs-info-text-emphasis);--bs-alert-bg: var(--bs-info-bg-subtle);--bs-alert-border-color: var(--bs-info-border-subtle);--bs-alert-link-color: var(--bs-info-text-emphasis)}.alert-warning{--bs-alert-color: var(--bs-warning-text-emphasis);--bs-alert-bg: var(--bs-warning-bg-subtle);--bs-alert-border-color: var(--bs-warning-border-subtle);--bs-alert-link-color: var(--bs-warning-text-emphasis)}.alert-danger{--bs-alert-color: var(--bs-danger-text-emphasis);--bs-alert-bg: var(--bs-danger-bg-subtle);--bs-alert-border-color: var(--bs-danger-border-subtle);--bs-alert-link-color: var(--bs-danger-text-emphasis)}.alert-light{--bs-alert-color: var(--bs-light-text-emphasis);--bs-alert-bg: var(--bs-light-bg-subtle);--bs-alert-border-color: var(--bs-light-border-subtle);--bs-alert-link-color: var(--bs-light-text-emphasis)}.alert-dark{--bs-alert-color: var(--bs-dark-text-emphasis);--bs-alert-bg: var(--bs-dark-bg-subtle);--bs-alert-border-color: var(--bs-dark-border-subtle);--bs-alert-link-color: var(--bs-dark-text-emphasis)}@keyframes progress-bar-stripes{0%{background-position-x:1rem}}.progress,.progress-stacked{--bs-progress-height: 1rem;--bs-progress-font-size:0.75rem;--bs-progress-bg: #e9ecef;--bs-progress-border-radius: 0.375rem;--bs-progress-box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.075);--bs-progress-bar-color: #ffffff;--bs-progress-bar-bg: #0d6efd;--bs-progress-bar-transition: width 0.6s ease;display:flex;display:-webkit-flex;height:var(--bs-progress-height);overflow:hidden;font-size:var(--bs-progress-font-size);background-color:var(--bs-progress-bg);border-radius:var(--bs-progress-border-radius)}.progress-bar{display:flex;display:-webkit-flex;flex-direction:column;-webkit-flex-direction:column;justify-content:center;-webkit-justify-content:center;overflow:hidden;color:var(--bs-progress-bar-color);text-align:center;white-space:nowrap;background-color:var(--bs-progress-bar-bg);transition:var(--bs-progress-bar-transition)}@media(prefers-reduced-motion: reduce){.progress-bar{transition:none}}.progress-bar-striped{background-image:linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);background-size:var(--bs-progress-height) var(--bs-progress-height)}.progress-stacked>.progress{overflow:visible}.progress-stacked>.progress>.progress-bar{width:100%}.progress-bar-animated{animation:1s linear infinite progress-bar-stripes}@media(prefers-reduced-motion: reduce){.progress-bar-animated{animation:none}}.list-group{--bs-list-group-color: #212529;--bs-list-group-bg: #ffffff;--bs-list-group-border-color: #dee2e6;--bs-list-group-border-width: 1px;--bs-list-group-border-radius: 0.375rem;--bs-list-group-item-padding-x: 1rem;--bs-list-group-item-padding-y: 0.5rem;--bs-list-group-action-color: rgba(33, 37, 41, 0.75);--bs-list-group-action-hover-color: #000;--bs-list-group-action-hover-bg: #f8f9fa;--bs-list-group-action-active-color: #212529;--bs-list-group-action-active-bg: #e9ecef;--bs-list-group-disabled-color: rgba(33, 37, 41, 0.75);--bs-list-group-disabled-bg: #ffffff;--bs-list-group-active-color: #ffffff;--bs-list-group-active-bg: #0d6efd;--bs-list-group-active-border-color: #0d6efd;display:flex;display:-webkit-flex;flex-direction:column;-webkit-flex-direction:column;padding-left:0;margin-bottom:0;border-radius:var(--bs-list-group-border-radius)}.list-group-numbered{list-style-type:none;counter-reset:section}.list-group-numbered>.list-group-item::before{content:counters(section, ".") ". ";counter-increment:section}.list-group-item-action{width:100%;color:var(--bs-list-group-action-color);text-align:inherit}.list-group-item-action:hover,.list-group-item-action:focus{z-index:1;color:var(--bs-list-group-action-hover-color);text-decoration:none;background-color:var(--bs-list-group-action-hover-bg)}.list-group-item-action:active{color:var(--bs-list-group-action-active-color);background-color:var(--bs-list-group-action-active-bg)}.list-group-item{position:relative;display:block;padding:var(--bs-list-group-item-padding-y) var(--bs-list-group-item-padding-x);color:var(--bs-list-group-color);text-decoration:none;-webkit-text-decoration:none;-moz-text-decoration:none;-ms-text-decoration:none;-o-text-decoration:none;background-color:var(--bs-list-group-bg);border:var(--bs-list-group-border-width) solid 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576px){.list-group-horizontal-sm{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-sm>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-sm>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-sm>.list-group-item.active{margin-top:0}.list-group-horizontal-sm>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-sm>.list-group-item+.list-group-item.active{margin-left:calc(-1*var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media(min-width: 768px){.list-group-horizontal-md{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-md>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-md>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-md>.list-group-item.active{margin-top:0}.list-group-horizontal-md>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-md>.list-group-item+.list-group-item.active{margin-left:calc(-1*var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media(min-width: 992px){.list-group-horizontal-lg{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-lg>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-lg>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-lg>.list-group-item.active{margin-top:0}.list-group-horizontal-lg>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-lg>.list-group-item+.list-group-item.active{margin-left:calc(-1*var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media(min-width: 1200px){.list-group-horizontal-xl{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-xl>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-xl>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-xl>.list-group-item.active{margin-top:0}.list-group-horizontal-xl>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-xl>.list-group-item+.list-group-item.active{margin-left:calc(-1*var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media(min-width: 1400px){.list-group-horizontal-xxl{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-xxl>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-xxl>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-xxl>.list-group-item.active{margin-top:0}.list-group-horizontal-xxl>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-xxl>.list-group-item+.list-group-item.active{margin-left:calc(-1*var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}.list-group-flush{border-radius:0}.list-group-flush>.list-group-item{border-width:0 0 var(--bs-list-group-border-width)}.list-group-flush>.list-group-item:last-child{border-bottom-width:0}.list-group-item-default{--bs-list-group-color: var(--bs-default-text-emphasis);--bs-list-group-bg: var(--bs-default-bg-subtle);--bs-list-group-border-color: var(--bs-default-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-default-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-default-border-subtle);--bs-list-group-active-color: var(--bs-default-bg-subtle);--bs-list-group-active-bg: var(--bs-default-text-emphasis);--bs-list-group-active-border-color: var(--bs-default-text-emphasis)}.list-group-item-primary{--bs-list-group-color: var(--bs-primary-text-emphasis);--bs-list-group-bg: var(--bs-primary-bg-subtle);--bs-list-group-border-color: var(--bs-primary-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-primary-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-primary-border-subtle);--bs-list-group-active-color: var(--bs-primary-bg-subtle);--bs-list-group-active-bg: var(--bs-primary-text-emphasis);--bs-list-group-active-border-color: var(--bs-primary-text-emphasis)}.list-group-item-secondary{--bs-list-group-color: var(--bs-secondary-text-emphasis);--bs-list-group-bg: var(--bs-secondary-bg-subtle);--bs-list-group-border-color: var(--bs-secondary-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-secondary-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-secondary-border-subtle);--bs-list-group-active-color: var(--bs-secondary-bg-subtle);--bs-list-group-active-bg: var(--bs-secondary-text-emphasis);--bs-list-group-active-border-color: var(--bs-secondary-text-emphasis)}.list-group-item-success{--bs-list-group-color: var(--bs-success-text-emphasis);--bs-list-group-bg: var(--bs-success-bg-subtle);--bs-list-group-border-color: var(--bs-success-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-success-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-success-border-subtle);--bs-list-group-active-color: var(--bs-success-bg-subtle);--bs-list-group-active-bg: var(--bs-success-text-emphasis);--bs-list-group-active-border-color: var(--bs-success-text-emphasis)}.list-group-item-info{--bs-list-group-color: var(--bs-info-text-emphasis);--bs-list-group-bg: var(--bs-info-bg-subtle);--bs-list-group-border-color: var(--bs-info-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-info-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-info-border-subtle);--bs-list-group-active-color: var(--bs-info-bg-subtle);--bs-list-group-active-bg: var(--bs-info-text-emphasis);--bs-list-group-active-border-color: var(--bs-info-text-emphasis)}.list-group-item-warning{--bs-list-group-color: var(--bs-warning-text-emphasis);--bs-list-group-bg: var(--bs-warning-bg-subtle);--bs-list-group-border-color: var(--bs-warning-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-warning-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-warning-border-subtle);--bs-list-group-active-color: var(--bs-warning-bg-subtle);--bs-list-group-active-bg: var(--bs-warning-text-emphasis);--bs-list-group-active-border-color: var(--bs-warning-text-emphasis)}.list-group-item-danger{--bs-list-group-color: var(--bs-danger-text-emphasis);--bs-list-group-bg: var(--bs-danger-bg-subtle);--bs-list-group-border-color: var(--bs-danger-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-danger-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-danger-border-subtle);--bs-list-group-active-color: var(--bs-danger-bg-subtle);--bs-list-group-active-bg: var(--bs-danger-text-emphasis);--bs-list-group-active-border-color: var(--bs-danger-text-emphasis)}.list-group-item-light{--bs-list-group-color: var(--bs-light-text-emphasis);--bs-list-group-bg: var(--bs-light-bg-subtle);--bs-list-group-border-color: var(--bs-light-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-light-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-light-border-subtle);--bs-list-group-active-color: var(--bs-light-bg-subtle);--bs-list-group-active-bg: var(--bs-light-text-emphasis);--bs-list-group-active-border-color: var(--bs-light-text-emphasis)}.list-group-item-dark{--bs-list-group-color: var(--bs-dark-text-emphasis);--bs-list-group-bg: var(--bs-dark-bg-subtle);--bs-list-group-border-color: var(--bs-dark-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-dark-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-dark-border-subtle);--bs-list-group-active-color: var(--bs-dark-bg-subtle);--bs-list-group-active-bg: var(--bs-dark-text-emphasis);--bs-list-group-active-border-color: var(--bs-dark-text-emphasis)}.btn-close{--bs-btn-close-color: #000;--bs-btn-close-bg: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' 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t.defaultInterval=t.interval,t}_addEventListeners(){this._config.keyboard&&N.on(this._element,ft,(t=>this._keydown(t))),"hover"===this._config.pause&&(N.on(this._element,pt,(()=>this.pause())),N.on(this._element,mt,(()=>this._maybeEnableCycle()))),this._config.touch&&st.isSupported()&&this._addTouchEventListeners()}_addTouchEventListeners(){for(const t of z.find(".carousel-item img",this._element))N.on(t,gt,(t=>t.preventDefault()));const t={leftCallback:()=>this._slide(this._directionToOrder(ct)),rightCallback:()=>this._slide(this._directionToOrder(ht)),endCallback:()=>{"hover"===this._config.pause&&(this.pause(),this.touchTimeout&&clearTimeout(this.touchTimeout),this.touchTimeout=setTimeout((()=>this._maybeEnableCycle()),500+this._config.interval))}};this._swipeHelper=new st(this._element,t)}_keydown(t){if(/input|textarea/i.test(t.target.tagName))return;const e=Tt[t.key];e&&(t.preventDefault(),this._slide(this._directionToOrder(e)))}_getItemIndex(t){return this._getItems().indexOf(t)}_setActiveIndicatorElement(t){if(!this._indicatorsElement)return;const e=z.findOne(wt,this._indicatorsElement);e.classList.remove(yt),e.removeAttribute("aria-current");const i=z.findOne(`[data-bs-slide-to="${t}"]`,this._indicatorsElement);i&&(i.classList.add(yt),i.setAttribute("aria-current","true"))}_updateInterval(){const t=this._activeElement||this._getActive();if(!t)return;const e=Number.parseInt(t.getAttribute("data-bs-interval"),10);this._config.interval=e||this._config.defaultInterval}_slide(t,e=null){if(this._isSliding)return;const i=this._getActive(),n=t===at,s=e||b(this._getItems(),i,n,this._config.wrap);if(s===i)return;const o=this._getItemIndex(s),r=e=>N.trigger(this._element,e,{relatedTarget:s,direction:this._orderToDirection(t),from:this._getItemIndex(i),to:o});if(r(dt).defaultPrevented)return;if(!i||!s)return;const a=Boolean(this._interval);this.pause(),this._isSliding=!0,this._setActiveIndicatorElement(o),this._activeElement=s;const l=n?"carousel-item-start":"carousel-item-end",c=n?"carousel-item-next":"carousel-item-prev";s.classList.add(c),d(s),i.classList.add(l),s.classList.add(l),this._queueCallback((()=>{s.classList.remove(l,c),s.classList.add(yt),i.classList.remove(yt,c,l),this._isSliding=!1,r(ut)}),i,this._isAnimated()),a&&this.cycle()}_isAnimated(){return this._element.classList.contains("slide")}_getActive(){return z.findOne(Et,this._element)}_getItems(){return z.find(At,this._element)}_clearInterval(){this._interval&&(clearInterval(this._interval),this._interval=null)}_directionToOrder(t){return p()?t===ct?lt:at:t===ct?at:lt}_orderToDirection(t){return p()?t===lt?ct:ht:t===lt?ht:ct}static jQueryInterface(t){return this.each((function(){const e=xt.getOrCreateInstance(this,t);if("number"!=typeof t){if("string"==typeof t){if(void 0===e[t]||t.startsWith("_")||"constructor"===t)throw new TypeError(`No method named "${t}"`);e[t]()}}else e.to(t)}))}}N.on(document,bt,"[data-bs-slide], 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i=`scroll${e[0].toUpperCase()+e.slice(1)}`;this._queueCallback((()=>{this._isTransitioning=!1,this._element.classList.remove(Mt),this._element.classList.add(Pt,Nt),this._element.style[e]="",N.trigger(this._element,St)}),this._element,!0),this._element.style[e]=`${this._element[i]}px`}hide(){if(this._isTransitioning||!this._isShown())return;if(N.trigger(this._element,Dt).defaultPrevented)return;const t=this._getDimension();this._element.style[t]=`${this._element.getBoundingClientRect()[t]}px`,d(this._element),this._element.classList.add(Mt),this._element.classList.remove(Pt,Nt);for(const t of this._triggerArray){const e=z.getElementFromSelector(t);e&&!this._isShown(e)&&this._addAriaAndCollapsedClass([t],!1)}this._isTransitioning=!0,this._element.style[t]="",this._queueCallback((()=>{this._isTransitioning=!1,this._element.classList.remove(Mt),this._element.classList.add(Pt),N.trigger(this._element,$t)}),this._element,!0)}_isShown(t=this._element){return 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J,Z="x"===y?zt:Vt,tt="x"===y?Rt:qt,et=A[w],it="y"===w?"height":"width",nt=et+g[Z],st=et-g[tt],ot=-1!==[zt,Vt].indexOf(_),rt=null!=(J=null==x?void 0:x[w])?J:0,at=ot?nt:et-E[it]-T[it]-rt+O.altAxis,lt=ot?et+E[it]+T[it]-rt-O.altAxis:st,ct=f&&ot?function(t,e,i){var n=Ne(t,e,i);return n>i?i:n}(at,et,lt):Ne(f?at:nt,et,f?lt:st);A[w]=ct,k[w]=ct-et}e.modifiersData[n]=k}},requiresIfExists:["offset"]};function di(t,e,i){void 0===i&&(i=!1);var n,s,o=me(e),r=me(e)&&function(t){var e=t.getBoundingClientRect(),i=we(e.width)/t.offsetWidth||1,n=we(e.height)/t.offsetHeight||1;return 1!==i||1!==n}(e),a=Le(e),l=Te(t,r,i),c={scrollLeft:0,scrollTop:0},h={x:0,y:0};return(o||!o&&!i)&&(("body"!==ue(e)||Ue(a))&&(c=(n=e)!==fe(n)&&me(n)?{scrollLeft:(s=n).scrollLeft,scrollTop:s.scrollTop}:Xe(n)),me(e)?((h=Te(e,!0)).x+=e.clientLeft,h.y+=e.clientTop):a&&(h.x=Ye(a))),{x:l.left+c.scrollLeft-h.x,y:l.top+c.scrollTop-h.y,width:l.width,height:l.height}}function ui(t){var e=new Map,i=new Set,n=[];function s(t){i.add(t.name),[].concat(t.requires||[],t.requiresIfExists||[]).forEach((function(t){if(!i.has(t)){var n=e.get(t);n&&s(n)}})),n.push(t)}return t.forEach((function(t){e.set(t.name,t)})),t.forEach((function(t){i.has(t.name)||s(t)})),n}var fi={placement:"bottom",modifiers:[],strategy:"absolute"};function pi(){for(var t=arguments.length,e=new Array(t),i=0;iNumber.parseInt(t,10))):"function"==typeof t?e=>t(e,this._element):t}_getPopperConfig(){const t={placement:this._getPlacement(),modifiers:[{name:"preventOverflow",options:{boundary:this._config.boundary}},{name:"offset",options:{offset:this._getOffset()}}]};return(this._inNavbar||"static"===this._config.display)&&(F.setDataAttribute(this._menu,"popper","static"),t.modifiers=[{name:"applyStyles",enabled:!1}]),{...t,...g(this._config.popperConfig,[t])}}_selectMenuItem({key:t,target:e}){const i=z.find(".dropdown-menu 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e=/input|textarea/i.test(t.target.tagName),i="Escape"===t.key,n=[Ei,Ti].includes(t.key);if(!n&&!i)return;if(e&&!i)return;t.preventDefault();const s=this.matches(Ii)?this:z.prev(this,Ii)[0]||z.next(this,Ii)[0]||z.findOne(Ii,t.delegateTarget.parentNode),o=qi.getOrCreateInstance(s);if(n)return t.stopPropagation(),o.show(),void o._selectMenuItem(t);o._isShown()&&(t.stopPropagation(),o.hide(),s.focus())}}N.on(document,Si,Ii,qi.dataApiKeydownHandler),N.on(document,Si,Pi,qi.dataApiKeydownHandler),N.on(document,Li,qi.clearMenus),N.on(document,Di,qi.clearMenus),N.on(document,Li,Ii,(function(t){t.preventDefault(),qi.getOrCreateInstance(this).toggle()})),m(qi);const Vi="backdrop",Ki="show",Qi=`mousedown.bs.${Vi}`,Xi={className:"modal-backdrop",clickCallback:null,isAnimated:!1,isVisible:!0,rootElement:"body"},Yi={className:"string",clickCallback:"(function|null)",isAnimated:"boolean",isVisible:"boolean",rootElement:"(element|string)"};class Ui extends H{constructor(t){super(),this._config=this._getConfig(t),this._isAppended=!1,this._element=null}static get Default(){return Xi}static get DefaultType(){return Yi}static get NAME(){return Vi}show(t){if(!this._config.isVisible)return void g(t);this._append();const e=this._getElement();this._config.isAnimated&&d(e),e.classList.add(Ki),this._emulateAnimation((()=>{g(t)}))}hide(t){this._config.isVisible?(this._getElement().classList.remove(Ki),this._emulateAnimation((()=>{this.dispose(),g(t)}))):g(t)}dispose(){this._isAppended&&(N.off(this._element,Qi),this._element.remove(),this._isAppended=!1)}_getElement(){if(!this._element){const t=document.createElement("div");t.className=this._config.className,this._config.isAnimated&&t.classList.add("fade"),this._element=t}return this._element}_configAfterMerge(t){return t.rootElement=r(t.rootElement),t}_append(){if(this._isAppended)return;const t=this._getElement();this._config.rootElement.append(t),N.on(t,Qi,(()=>{g(this._config.clickCallback)})),this._isAppended=!0}_emulateAnimation(t){_(t,this._getElement(),this._config.isAnimated)}}const Gi=".bs.focustrap",Ji=`focusin${Gi}`,Zi=`keydown.tab${Gi}`,tn="backward",en={autofocus:!0,trapElement:null},nn={autofocus:"boolean",trapElement:"element"};class sn extends H{constructor(t){super(),this._config=this._getConfig(t),this._isActive=!1,this._lastTabNavDirection=null}static get Default(){return en}static get DefaultType(){return nn}static get NAME(){return"focustrap"}activate(){this._isActive||(this._config.autofocus&&this._config.trapElement.focus(),N.off(document,Gi),N.on(document,Ji,(t=>this._handleFocusin(t))),N.on(document,Zi,(t=>this._handleKeydown(t))),this._isActive=!0)}deactivate(){this._isActive&&(this._isActive=!1,N.off(document,Gi))}_handleFocusin(t){const{trapElement:e}=this._config;if(t.target===document||t.target===e||e.contains(t.target))return;const i=z.focusableChildren(e);0===i.length?e.focus():this._lastTabNavDirection===tn?i[i.length-1].focus():i[0].focus()}_handleKeydown(t){"Tab"===t.key&&(this._lastTabNavDirection=t.shiftKey?tn:"forward")}}const on=".fixed-top, .fixed-bottom, .is-fixed, .sticky-top",rn=".sticky-top",an="padding-right",ln="margin-right";class cn{constructor(){this._element=document.body}getWidth(){const t=document.documentElement.clientWidth;return Math.abs(window.innerWidth-t)}hide(){const t=this.getWidth();this._disableOverFlow(),this._setElementAttributes(this._element,an,(e=>e+t)),this._setElementAttributes(on,an,(e=>e+t)),this._setElementAttributes(rn,ln,(e=>e-t))}reset(){this._resetElementAttributes(this._element,"overflow"),this._resetElementAttributes(this._element,an),this._resetElementAttributes(on,an),this._resetElementAttributes(rn,ln)}isOverflowing(){return this.getWidth()>0}_disableOverFlow(){this._saveInitialAttribute(this._element,"overflow"),this._element.style.overflow="hidden"}_setElementAttributes(t,e,i){const n=this.getWidth();this._applyManipulationCallback(t,(t=>{if(t!==this._element&&window.innerWidth>t.clientWidth+n)return;this._saveInitialAttribute(t,e);const s=window.getComputedStyle(t).getPropertyValue(e);t.style.setProperty(e,`${i(Number.parseFloat(s))}px`)}))}_saveInitialAttribute(t,e){const i=t.style.getPropertyValue(e);i&&F.setDataAttribute(t,e,i)}_resetElementAttributes(t,e){this._applyManipulationCallback(t,(t=>{const i=F.getDataAttribute(t,e);null!==i?(F.removeDataAttribute(t,e),t.style.setProperty(e,i)):t.style.removeProperty(e)}))}_applyManipulationCallback(t,e){if(o(t))e(t);else for(const i of z.find(t,this._element))e(i)}}const hn=".bs.modal",dn=`hide${hn}`,un=`hidePrevented${hn}`,fn=`hidden${hn}`,pn=`show${hn}`,mn=`shown${hn}`,gn=`resize${hn}`,_n=`click.dismiss${hn}`,bn=`mousedown.dismiss${hn}`,vn=`keydown.dismiss${hn}`,yn=`click${hn}.data-api`,wn="modal-open",An="show",En="modal-static",Tn={backdrop:!0,focus:!0,keyboard:!0},Cn={backdrop:"(boolean|string)",focus:"boolean",keyboard:"boolean"};class On extends W{constructor(t,e){super(t,e),this._dialog=z.findOne(".modal-dialog",this._element),this._backdrop=this._initializeBackDrop(),this._focustrap=this._initializeFocusTrap(),this._isShown=!1,this._isTransitioning=!1,this._scrollBar=new cn,this._addEventListeners()}static get Default(){return Tn}static get DefaultType(){return Cn}static get NAME(){return"modal"}toggle(t){return this._isShown?this.hide():this.show(t)}show(t){this._isShown||this._isTransitioning||N.trigger(this._element,pn,{relatedTarget:t}).defaultPrevented||(this._isShown=!0,this._isTransitioning=!0,this._scrollBar.hide(),document.body.classList.add(wn),this._adjustDialog(),this._backdrop.show((()=>this._showElement(t))))}hide(){this._isShown&&!this._isTransitioning&&(N.trigger(this._element,dn).defaultPrevented||(this._isShown=!1,this._isTransitioning=!0,this._focustrap.deactivate(),this._element.classList.remove(An),this._queueCallback((()=>this._hideModal()),this._element,this._isAnimated())))}dispose(){N.off(window,hn),N.off(this._dialog,hn),this._backdrop.dispose(),this._focustrap.deactivate(),super.dispose()}handleUpdate(){this._adjustDialog()}_initializeBackDrop(){return new Ui({isVisible:Boolean(this._config.backdrop),isAnimated:this._isAnimated()})}_initializeFocusTrap(){return new sn({trapElement:this._element})}_showElement(t){document.body.contains(this._element)||document.body.append(this._element),this._element.style.display="block",this._element.removeAttribute("aria-hidden"),this._element.setAttribute("aria-modal",!0),this._element.setAttribute("role","dialog"),this._element.scrollTop=0;const e=z.findOne(".modal-body",this._dialog);e&&(e.scrollTop=0),d(this._element),this._element.classList.add(An),this._queueCallback((()=>{this._config.focus&&this._focustrap.activate(),this._isTransitioning=!1,N.trigger(this._element,mn,{relatedTarget:t})}),this._dialog,this._isAnimated())}_addEventListeners(){N.on(this._element,vn,(t=>{"Escape"===t.key&&(this._config.keyboard?this.hide():this._triggerBackdropTransition())})),N.on(window,gn,(()=>{this._isShown&&!this._isTransitioning&&this._adjustDialog()})),N.on(this._element,bn,(t=>{N.one(this._element,_n,(e=>{this._element===t.target&&this._element===e.target&&("static"!==this._config.backdrop?this._config.backdrop&&this.hide():this._triggerBackdropTransition())}))}))}_hideModal(){this._element.style.display="none",this._element.setAttribute("aria-hidden",!0),this._element.removeAttribute("aria-modal"),this._element.removeAttribute("role"),this._isTransitioning=!1,this._backdrop.hide((()=>{document.body.classList.remove(wn),this._resetAdjustments(),this._scrollBar.reset(),N.trigger(this._element,fn)}))}_isAnimated(){return this._element.classList.contains("fade")}_triggerBackdropTransition(){if(N.trigger(this._element,un).defaultPrevented)return;const t=this._element.scrollHeight>document.documentElement.clientHeight,e=this._element.style.overflowY;"hidden"===e||this._element.classList.contains(En)||(t||(this._element.style.overflowY="hidden"),this._element.classList.add(En),this._queueCallback((()=>{this._element.classList.remove(En),this._queueCallback((()=>{this._element.style.overflowY=e}),this._dialog)}),this._dialog),this._element.focus())}_adjustDialog(){const t=this._element.scrollHeight>document.documentElement.clientHeight,e=this._scrollBar.getWidth(),i=e>0;if(i&&!t){const t=p()?"paddingLeft":"paddingRight";this._element.style[t]=`${e}px`}if(!i&&t){const t=p()?"paddingRight":"paddingLeft";this._element.style[t]=`${e}px`}}_resetAdjustments(){this._element.style.paddingLeft="",this._element.style.paddingRight=""}static jQueryInterface(t,e){return this.each((function(){const i=On.getOrCreateInstance(this,t);if("string"==typeof t){if(void 0===i[t])throw new TypeError(`No method named "${t}"`);i[t](e)}}))}}N.on(document,yn,'[data-bs-toggle="modal"]',(function(t){const e=z.getElementFromSelector(this);["A","AREA"].includes(this.tagName)&&t.preventDefault(),N.one(e,pn,(t=>{t.defaultPrevented||N.one(e,fn,(()=>{a(this)&&this.focus()}))}));const i=z.findOne(".modal.show");i&&On.getInstance(i).hide(),On.getOrCreateInstance(e).toggle(this)})),R(On),m(On);const xn=".bs.offcanvas",kn=".data-api",Ln=`load${xn}${kn}`,Sn="show",Dn="showing",$n="hiding",In=".offcanvas.show",Nn=`show${xn}`,Pn=`shown${xn}`,Mn=`hide${xn}`,jn=`hidePrevented${xn}`,Fn=`hidden${xn}`,Hn=`resize${xn}`,Wn=`click${xn}${kn}`,Bn=`keydown.dismiss${xn}`,zn={backdrop:!0,keyboard:!0,scroll:!1},Rn={backdrop:"(boolean|string)",keyboard:"boolean",scroll:"boolean"};class qn extends W{constructor(t,e){super(t,e),this._isShown=!1,this._backdrop=this._initializeBackDrop(),this._focustrap=this._initializeFocusTrap(),this._addEventListeners()}static get Default(){return zn}static get DefaultType(){return Rn}static get NAME(){return"offcanvas"}toggle(t){return this._isShown?this.hide():this.show(t)}show(t){this._isShown||N.trigger(this._element,Nn,{relatedTarget:t}).defaultPrevented||(this._isShown=!0,this._backdrop.show(),this._config.scroll||(new cn).hide(),this._element.setAttribute("aria-modal",!0),this._element.setAttribute("role","dialog"),this._element.classList.add(Dn),this._queueCallback((()=>{this._config.scroll&&!this._config.backdrop||this._focustrap.activate(),this._element.classList.add(Sn),this._element.classList.remove(Dn),N.trigger(this._element,Pn,{relatedTarget:t})}),this._element,!0))}hide(){this._isShown&&(N.trigger(this._element,Mn).defaultPrevented||(this._focustrap.deactivate(),this._element.blur(),this._isShown=!1,this._element.classList.add($n),this._backdrop.hide(),this._queueCallback((()=>{this._element.classList.remove(Sn,$n),this._element.removeAttribute("aria-modal"),this._element.removeAttribute("role"),this._config.scroll||(new cn).reset(),N.trigger(this._element,Fn)}),this._element,!0)))}dispose(){this._backdrop.dispose(),this._focustrap.deactivate(),super.dispose()}_initializeBackDrop(){const t=Boolean(this._config.backdrop);return new Ui({className:"offcanvas-backdrop",isVisible:t,isAnimated:!0,rootElement:this._element.parentNode,clickCallback:t?()=>{"static"!==this._config.backdrop?this.hide():N.trigger(this._element,jn)}:null})}_initializeFocusTrap(){return new sn({trapElement:this._element})}_addEventListeners(){N.on(this._element,Bn,(t=>{"Escape"===t.key&&(this._config.keyboard?this.hide():N.trigger(this._element,jn))}))}static jQueryInterface(t){return this.each((function(){const e=qn.getOrCreateInstance(this,t);if("string"==typeof t){if(void 0===e[t]||t.startsWith("_")||"constructor"===t)throw new TypeError(`No method named "${t}"`);e[t](this)}}))}}N.on(document,Wn,'[data-bs-toggle="offcanvas"]',(function(t){const e=z.getElementFromSelector(this);if(["A","AREA"].includes(this.tagName)&&t.preventDefault(),l(this))return;N.one(e,Fn,(()=>{a(this)&&this.focus()}));const i=z.findOne(In);i&&i!==e&&qn.getInstance(i).hide(),qn.getOrCreateInstance(e).toggle(this)})),N.on(window,Ln,(()=>{for(const t of z.find(In))qn.getOrCreateInstance(t).show()})),N.on(window,Hn,(()=>{for(const t of z.find("[aria-modal][class*=show][class*=offcanvas-]"))"fixed"!==getComputedStyle(t).position&&qn.getOrCreateInstance(t).hide()})),R(qn),m(qn);const Vn={"*":["class","dir","id","lang","role",/^aria-[\w-]*$/i],a:["target","href","title","rel"],area:[],b:[],br:[],col:[],code:[],div:[],em:[],hr:[],h1:[],h2:[],h3:[],h4:[],h5:[],h6:[],i:[],img:["src","srcset","alt","title","width","height"],li:[],ol:[],p:[],pre:[],s:[],small:[],span:[],sub:[],sup:[],strong:[],u:[],ul:[]},Kn=new Set(["background","cite","href","itemtype","longdesc","poster","src","xlink:href"]),Qn=/^(?!javascript:)(?:[a-z0-9+.-]+:|[^&:/?#]*(?:[/?#]|$))/i,Xn=(t,e)=>{const i=t.nodeName.toLowerCase();return e.includes(i)?!Kn.has(i)||Boolean(Qn.test(t.nodeValue)):e.filter((t=>t instanceof RegExp)).some((t=>t.test(i)))},Yn={allowList:Vn,content:{},extraClass:"",html:!1,sanitize:!0,sanitizeFn:null,template:"
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")),e}_typeCheckConfig(t){super._typeCheckConfig(t),this._checkContent(t.content)}_checkContent(t){for(const[e,i]of Object.entries(t))super._typeCheckConfig({selector:e,entry:i},Gn)}_setContent(t,e,i){const n=z.findOne(i,t);n&&((e=this._resolvePossibleFunction(e))?o(e)?this._putElementInTemplate(r(e),n):this._config.html?n.innerHTML=this._maybeSanitize(e):n.textContent=e:n.remove())}_maybeSanitize(t){return this._config.sanitize?function(t,e,i){if(!t.length)return t;if(i&&"function"==typeof i)return i(t);const n=(new window.DOMParser).parseFromString(t,"text/html"),s=[].concat(...n.body.querySelectorAll("*"));for(const t of s){const i=t.nodeName.toLowerCase();if(!Object.keys(e).includes(i)){t.remove();continue}const n=[].concat(...t.attributes),s=[].concat(e["*"]||[],e[i]||[]);for(const e of n)Xn(e,s)||t.removeAttribute(e.nodeName)}return n.body.innerHTML}(t,this._config.allowList,this._config.sanitizeFn):t}_resolvePossibleFunction(t){return g(t,[this])}_putElementInTemplate(t,e){if(this._config.html)return e.innerHTML="",void e.append(t);e.textContent=t.textContent}}const Zn=new Set(["sanitize","allowList","sanitizeFn"]),ts="fade",es="show",is=".modal",ns="hide.bs.modal",ss="hover",os="focus",rs={AUTO:"auto",TOP:"top",RIGHT:p()?"left":"right",BOTTOM:"bottom",LEFT:p()?"right":"left"},as={allowList:Vn,animation:!0,boundary:"clippingParents",container:!1,customClass:"",delay:0,fallbackPlacements:["top","right","bottom","left"],html:!1,offset:[0,6],placement:"top",popperConfig:null,sanitize:!0,sanitizeFn:null,selector:!1,template:'',title:"",trigger:"hover focus"},ls={allowList:"object",animation:"boolean",boundary:"(string|element)",container:"(string|element|boolean)",customClass:"(string|function)",delay:"(number|object)",fallbackPlacements:"array",html:"boolean",offset:"(array|string|function)",placement:"(string|function)",popperConfig:"(null|object|function)",sanitize:"boolean",sanitizeFn:"(null|function)",selector:"(string|boolean)",template:"string",title:"(string|element|function)",trigger:"string"};class cs extends W{constructor(t,e){if(void 0===vi)throw new TypeError("Bootstrap's tooltips require Popper (https://popper.js.org)");super(t,e),this._isEnabled=!0,this._timeout=0,this._isHovered=null,this._activeTrigger={},this._popper=null,this._templateFactory=null,this._newContent=null,this.tip=null,this._setListeners(),this._config.selector||this._fixTitle()}static get Default(){return as}static get DefaultType(){return ls}static get NAME(){return"tooltip"}enable(){this._isEnabled=!0}disable(){this._isEnabled=!1}toggleEnabled(){this._isEnabled=!this._isEnabled}toggle(){this._isEnabled&&(this._activeTrigger.click=!this._activeTrigger.click,this._isShown()?this._leave():this._enter())}dispose(){clearTimeout(this._timeout),N.off(this._element.closest(is),ns,this._hideModalHandler),this._element.getAttribute("data-bs-original-title")&&this._element.setAttribute("title",this._element.getAttribute("data-bs-original-title")),this._disposePopper(),super.dispose()}show(){if("none"===this._element.style.display)throw new Error("Please use show on visible elements");if(!this._isWithContent()||!this._isEnabled)return;const t=N.trigger(this._element,this.constructor.eventName("show")),e=(c(this._element)||this._element.ownerDocument.documentElement).contains(this._element);if(t.defaultPrevented||!e)return;this._disposePopper();const i=this._getTipElement();this._element.setAttribute("aria-describedby",i.getAttribute("id"));const{container:n}=this._config;if(this._element.ownerDocument.documentElement.contains(this.tip)||(n.append(i),N.trigger(this._element,this.constructor.eventName("inserted"))),this._popper=this._createPopper(i),i.classList.add(es),"ontouchstart"in document.documentElement)for(const t of[].concat(...document.body.children))N.on(t,"mouseover",h);this._queueCallback((()=>{N.trigger(this._element,this.constructor.eventName("shown")),!1===this._isHovered&&this._leave(),this._isHovered=!1}),this.tip,this._isAnimated())}hide(){if(this._isShown()&&!N.trigger(this._element,this.constructor.eventName("hide")).defaultPrevented){if(this._getTipElement().classList.remove(es),"ontouchstart"in document.documentElement)for(const t of[].concat(...document.body.children))N.off(t,"mouseover",h);this._activeTrigger.click=!1,this._activeTrigger[os]=!1,this._activeTrigger[ss]=!1,this._isHovered=null,this._queueCallback((()=>{this._isWithActiveTrigger()||(this._isHovered||this._disposePopper(),this._element.removeAttribute("aria-describedby"),N.trigger(this._element,this.constructor.eventName("hidden")))}),this.tip,this._isAnimated())}}update(){this._popper&&this._popper.update()}_isWithContent(){return Boolean(this._getTitle())}_getTipElement(){return this.tip||(this.tip=this._createTipElement(this._newContent||this._getContentForTemplate())),this.tip}_createTipElement(t){const e=this._getTemplateFactory(t).toHtml();if(!e)return null;e.classList.remove(ts,es),e.classList.add(`bs-${this.constructor.NAME}-auto`);const i=(t=>{do{t+=Math.floor(1e6*Math.random())}while(document.getElementById(t));return t})(this.constructor.NAME).toString();return e.setAttribute("id",i),this._isAnimated()&&e.classList.add(ts),e}setContent(t){this._newContent=t,this._isShown()&&(this._disposePopper(),this.show())}_getTemplateFactory(t){return this._templateFactory?this._templateFactory.changeContent(t):this._templateFactory=new Jn({...this._config,content:t,extraClass:this._resolvePossibleFunction(this._config.customClass)}),this._templateFactory}_getContentForTemplate(){return{".tooltip-inner":this._getTitle()}}_getTitle(){return this._resolvePossibleFunction(this._config.title)||this._element.getAttribute("data-bs-original-title")}_initializeOnDelegatedTarget(t){return this.constructor.getOrCreateInstance(t.delegateTarget,this._getDelegateConfig())}_isAnimated(){return this._config.animation||this.tip&&this.tip.classList.contains(ts)}_isShown(){return this.tip&&this.tip.classList.contains(es)}_createPopper(t){const e=g(this._config.placement,[this,t,this._element]),i=rs[e.toUpperCase()];return bi(this._element,t,this._getPopperConfig(i))}_getOffset(){const{offset:t}=this._config;return"string"==typeof t?t.split(",").map((t=>Number.parseInt(t,10))):"function"==typeof t?e=>t(e,this._element):t}_resolvePossibleFunction(t){return g(t,[this._element])}_getPopperConfig(t){const e={placement:t,modifiers:[{name:"flip",options:{fallbackPlacements:this._config.fallbackPlacements}},{name:"offset",options:{offset:this._getOffset()}},{name:"preventOverflow",options:{boundary:this._config.boundary}},{name:"arrow",options:{element:`.${this.constructor.NAME}-arrow`}},{name:"preSetPlacement",enabled:!0,phase:"beforeMain",fn:t=>{this._getTipElement().setAttribute("data-popper-placement",t.state.placement)}}]};return{...e,...g(this._config.popperConfig,[e])}}_setListeners(){const t=this._config.trigger.split(" ");for(const e of t)if("click"===e)N.on(this._element,this.constructor.eventName("click"),this._config.selector,(t=>{this._initializeOnDelegatedTarget(t).toggle()}));else if("manual"!==e){const t=e===ss?this.constructor.eventName("mouseenter"):this.constructor.eventName("focusin"),i=e===ss?this.constructor.eventName("mouseleave"):this.constructor.eventName("focusout");N.on(this._element,t,this._config.selector,(t=>{const e=this._initializeOnDelegatedTarget(t);e._activeTrigger["focusin"===t.type?os:ss]=!0,e._enter()})),N.on(this._element,i,this._config.selector,(t=>{const e=this._initializeOnDelegatedTarget(t);e._activeTrigger["focusout"===t.type?os:ss]=e._element.contains(t.relatedTarget),e._leave()}))}this._hideModalHandler=()=>{this._element&&this.hide()},N.on(this._element.closest(is),ns,this._hideModalHandler)}_fixTitle(){const t=this._element.getAttribute("title");t&&(this._element.getAttribute("aria-label")||this._element.textContent.trim()||this._element.setAttribute("aria-label",t),this._element.setAttribute("data-bs-original-title",t),this._element.removeAttribute("title"))}_enter(){this._isShown()||this._isHovered?this._isHovered=!0:(this._isHovered=!0,this._setTimeout((()=>{this._isHovered&&this.show()}),this._config.delay.show))}_leave(){this._isWithActiveTrigger()||(this._isHovered=!1,this._setTimeout((()=>{this._isHovered||this.hide()}),this._config.delay.hide))}_setTimeout(t,e){clearTimeout(this._timeout),this._timeout=setTimeout(t,e)}_isWithActiveTrigger(){return Object.values(this._activeTrigger).includes(!0)}_getConfig(t){const e=F.getDataAttributes(this._element);for(const t of Object.keys(e))Zn.has(t)&&delete e[t];return t={...e,..."object"==typeof t&&t?t:{}},t=this._mergeConfigObj(t),t=this._configAfterMerge(t),this._typeCheckConfig(t),t}_configAfterMerge(t){return t.container=!1===t.container?document.body:r(t.container),"number"==typeof t.delay&&(t.delay={show:t.delay,hide:t.delay}),"number"==typeof t.title&&(t.title=t.title.toString()),"number"==typeof t.content&&(t.content=t.content.toString()),t}_getDelegateConfig(){const t={};for(const[e,i]of Object.entries(this._config))this.constructor.Default[e]!==i&&(t[e]=i);return t.selector=!1,t.trigger="manual",t}_disposePopper(){this._popper&&(this._popper.destroy(),this._popper=null),this.tip&&(this.tip.remove(),this.tip=null)}static jQueryInterface(t){return this.each((function(){const e=cs.getOrCreateInstance(this,t);if("string"==typeof t){if(void 0===e[t])throw new TypeError(`No method named "${t}"`);e[t]()}}))}}m(cs);const hs={...cs.Default,content:"",offset:[0,8],placement:"right",template:'',trigger:"click"},ds={...cs.DefaultType,content:"(null|string|element|function)"};class us extends cs{static get Default(){return hs}static get DefaultType(){return ds}static get NAME(){return"popover"}_isWithContent(){return this._getTitle()||this._getContent()}_getContentForTemplate(){return{".popover-header":this._getTitle(),".popover-body":this._getContent()}}_getContent(){return this._resolvePossibleFunction(this._config.content)}static jQueryInterface(t){return this.each((function(){const e=us.getOrCreateInstance(this,t);if("string"==typeof t){if(void 0===e[t])throw new TypeError(`No method named "${t}"`);e[t]()}}))}}m(us);const fs=".bs.scrollspy",ps=`activate${fs}`,ms=`click${fs}`,gs=`load${fs}.data-api`,_s="active",bs="[href]",vs=".nav-link",ys=`${vs}, .nav-item > ${vs}, .list-group-item`,ws={offset:null,rootMargin:"0px 0px -25%",smoothScroll:!1,target:null,threshold:[.1,.5,1]},As={offset:"(number|null)",rootMargin:"string",smoothScroll:"boolean",target:"element",threshold:"array"};class Es extends W{constructor(t,e){super(t,e),this._targetLinks=new Map,this._observableSections=new 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e=this._observableSections.get(t.target.hash);if(e){t.preventDefault();const i=this._rootElement||window,n=e.offsetTop-this._element.offsetTop;if(i.scrollTo)return void i.scrollTo({top:n,behavior:"smooth"});i.scrollTop=n}})))}_getNewObserver(){const t={root:this._rootElement,threshold:this._config.threshold,rootMargin:this._config.rootMargin};return new IntersectionObserver((t=>this._observerCallback(t)),t)}_observerCallback(t){const e=t=>this._targetLinks.get(`#${t.target.id}`),i=t=>{this._previousScrollData.visibleEntryTop=t.target.offsetTop,this._process(e(t))},n=(this._rootElement||document.documentElement).scrollTop,s=n>=this._previousScrollData.parentScrollTop;this._previousScrollData.parentScrollTop=n;for(const o of t){if(!o.isIntersecting){this._activeTarget=null,this._clearActiveClass(e(o));continue}const t=o.target.offsetTop>=this._previousScrollData.visibleEntryTop;if(s&&t){if(i(o),!n)return}else s||t||i(o)}}_initializeTargetsAndObservables(){this._targetLinks=new Map,this._observableSections=new Map;const t=z.find(bs,this._config.target);for(const e of t){if(!e.hash||l(e))continue;const t=z.findOne(decodeURI(e.hash),this._element);a(t)&&(this._targetLinks.set(decodeURI(e.hash),e),this._observableSections.set(e.hash,t))}}_process(t){this._activeTarget!==t&&(this._clearActiveClass(this._config.target),this._activeTarget=t,t.classList.add(_s),this._activateParents(t),N.trigger(this._element,ps,{relatedTarget:t}))}_activateParents(t){if(t.classList.contains("dropdown-item"))z.findOne(".dropdown-toggle",t.closest(".dropdown")).classList.add(_s);else for(const e of z.parents(t,".nav, .list-group"))for(const t of z.prev(e,ys))t.classList.add(_s)}_clearActiveClass(t){t.classList.remove(_s);const e=z.find(`${bs}.${_s}`,t);for(const t of e)t.classList.remove(_s)}static jQueryInterface(t){return this.each((function(){const e=Es.getOrCreateInstance(this,t);if("string"==typeof t){if(void 0===e[t]||t.startsWith("_")||"constructor"===t)throw new TypeError(`No method named "${t}"`);e[t]()}}))}}N.on(window,gs,(()=>{for(const t of z.find('[data-bs-spy="scroll"]'))Es.getOrCreateInstance(t)})),m(Es);const Ts=".bs.tab",Cs=`hide${Ts}`,Os=`hidden${Ts}`,xs=`show${Ts}`,ks=`shown${Ts}`,Ls=`click${Ts}`,Ss=`keydown${Ts}`,Ds=`load${Ts}`,$s="ArrowLeft",Is="ArrowRight",Ns="ArrowUp",Ps="ArrowDown",Ms="Home",js="End",Fs="active",Hs="fade",Ws="show",Bs=":not(.dropdown-toggle)",zs='[data-bs-toggle="tab"], [data-bs-toggle="pill"], [data-bs-toggle="list"]',Rs=`.nav-link${Bs}, .list-group-item${Bs}, [role="tab"]${Bs}, ${zs}`,qs=`.${Fs}[data-bs-toggle="tab"], .${Fs}[data-bs-toggle="pill"], .${Fs}[data-bs-toggle="list"]`;class Vs extends W{constructor(t){super(t),this._parent=this._element.closest('.list-group, .nav, [role="tablist"]'),this._parent&&(this._setInitialAttributes(this._parent,this._getChildren()),N.on(this._element,Ss,(t=>this._keydown(t))))}static get NAME(){return"tab"}show(){const t=this._element;if(this._elemIsActive(t))return;const 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100644 index 00000000..b30ce576 --- /dev/null +++ b/docs/Chapters/15-vectors_files/libs/quarto-html/quarto-syntax-highlighting.css @@ -0,0 +1,205 @@ +/* quarto syntax highlight colors */ +:root { + --quarto-hl-ot-color: #003B4F; + --quarto-hl-at-color: #657422; + --quarto-hl-ss-color: #20794D; + --quarto-hl-an-color: #5E5E5E; + --quarto-hl-fu-color: #4758AB; + --quarto-hl-st-color: #20794D; + --quarto-hl-cf-color: #003B4F; + --quarto-hl-op-color: #5E5E5E; + --quarto-hl-er-color: #AD0000; + --quarto-hl-bn-color: #AD0000; + --quarto-hl-al-color: #AD0000; + --quarto-hl-va-color: #111111; + --quarto-hl-bu-color: inherit; + --quarto-hl-ex-color: inherit; + --quarto-hl-pp-color: #AD0000; + --quarto-hl-in-color: #5E5E5E; + --quarto-hl-vs-color: #20794D; + --quarto-hl-wa-color: #5E5E5E; + --quarto-hl-do-color: #5E5E5E; + --quarto-hl-im-color: #00769E; + --quarto-hl-ch-color: #20794D; + --quarto-hl-dt-color: #AD0000; + --quarto-hl-fl-color: #AD0000; + --quarto-hl-co-color: #5E5E5E; + --quarto-hl-cv-color: #5E5E5E; + --quarto-hl-cn-color: #8f5902; + --quarto-hl-sc-color: #5E5E5E; + --quarto-hl-dv-color: #AD0000; + --quarto-hl-kw-color: #003B4F; +} + +/* other quarto variables */ +:root { + --quarto-font-monospace: SFMono-Regular, Menlo, Monaco, Consolas, "Liberation Mono", "Courier New", monospace; +} + +pre > code.sourceCode > span { + color: #003B4F; +} + +code span { + color: #003B4F; +} + +code.sourceCode > span { + color: #003B4F; +} + +div.sourceCode, +div.sourceCode pre.sourceCode { + color: #003B4F; +} + +code span.ot { + color: #003B4F; + font-style: inherit; +} + +code span.at { + color: #657422; + font-style: inherit; +} + +code span.ss { + color: #20794D; + font-style: inherit; +} + +code span.an { + color: #5E5E5E; + font-style: inherit; +} + +code span.fu { + color: #4758AB; + font-style: inherit; +} + +code span.st { + color: #20794D; + font-style: inherit; +} + +code span.cf { + color: #003B4F; + font-weight: bold; + font-style: inherit; +} + +code span.op { + color: #5E5E5E; + font-style: inherit; +} + +code span.er { + color: #AD0000; + font-style: inherit; +} + +code span.bn { + color: #AD0000; + font-style: inherit; +} + +code span.al { + color: #AD0000; + font-style: inherit; +} + +code span.va { + color: #111111; + font-style: inherit; +} + +code span.bu { + font-style: inherit; +} + +code span.ex { + font-style: inherit; +} + +code span.pp { + color: #AD0000; + font-style: inherit; +} + +code span.in { + color: #5E5E5E; + font-style: inherit; +} + +code span.vs { + color: #20794D; + font-style: inherit; +} + +code span.wa { + color: #5E5E5E; + font-style: italic; +} + +code span.do { + color: #5E5E5E; + font-style: italic; +} + +code span.im { + color: #00769E; + font-style: inherit; +} + +code span.ch { + color: #20794D; + font-style: inherit; +} + +code span.dt { + color: #AD0000; + font-style: inherit; +} + +code span.fl { + color: #AD0000; + font-style: inherit; +} + +code span.co { + color: #5E5E5E; + font-style: inherit; +} + +code span.cv { + color: #5E5E5E; + font-style: italic; +} + +code span.cn { + color: #8f5902; + font-style: inherit; +} + +code span.sc { + color: #5E5E5E; + font-style: inherit; +} + +code span.dv { + color: #AD0000; + font-style: inherit; +} + +code span.kw { + color: #003B4F; + font-weight: bold; + font-style: inherit; +} + +.prevent-inlining { + content: " { + // Find any conflicting margin elements and add margins to the + // top to prevent overlap + const marginChildren = window.document.querySelectorAll( + ".column-margin.column-container > *, .margin-caption, .aside" + ); + + let lastBottom = 0; + for (const marginChild of marginChildren) { + if (marginChild.offsetParent !== null) { + // clear the top margin so we recompute it + marginChild.style.marginTop = null; + const top = marginChild.getBoundingClientRect().top + window.scrollY; + if (top < lastBottom) { + const marginChildStyle = window.getComputedStyle(marginChild); + const marginBottom = parseFloat(marginChildStyle["marginBottom"]); + const margin = lastBottom - top + marginBottom; + marginChild.style.marginTop = `${margin}px`; + } + const styles = window.getComputedStyle(marginChild); + const marginTop = parseFloat(styles["marginTop"]); + lastBottom = top + marginChild.getBoundingClientRect().height + marginTop; + } + } +}; + +window.document.addEventListener("DOMContentLoaded", function (_event) { + // Recompute the position of margin elements anytime the body size changes + if (window.ResizeObserver) { + const resizeObserver = new window.ResizeObserver( + throttle(() => { + layoutMarginEls(); + if ( + window.document.body.getBoundingClientRect().width < 990 && + isReaderMode() + ) { + quartoToggleReader(); + } + }, 50) + ); + resizeObserver.observe(window.document.body); + } + + const tocEl = window.document.querySelector('nav.toc-active[role="doc-toc"]'); + const sidebarEl = window.document.getElementById("quarto-sidebar"); + const leftTocEl = window.document.getElementById("quarto-sidebar-toc-left"); + const marginSidebarEl = window.document.getElementById( + "quarto-margin-sidebar" + ); + // function to determine whether the element has a previous sibling that is active + const prevSiblingIsActiveLink = (el) => { + const sibling = el.previousElementSibling; + if (sibling && sibling.tagName === "A") { + return sibling.classList.contains("active"); + } else { + return false; + } + }; + + // fire slideEnter for bootstrap tab activations (for htmlwidget resize behavior) + function fireSlideEnter(e) { + const event = window.document.createEvent("Event"); + event.initEvent("slideenter", true, true); + window.document.dispatchEvent(event); + } + const tabs = window.document.querySelectorAll('a[data-bs-toggle="tab"]'); + tabs.forEach((tab) => { + tab.addEventListener("shown.bs.tab", fireSlideEnter); + }); + + // fire slideEnter for tabby tab activations (for htmlwidget resize behavior) + document.addEventListener("tabby", fireSlideEnter, false); + + // Track scrolling and mark TOC links as active + // get table of contents and sidebar (bail if we don't have at least one) + const tocLinks = tocEl + ? [...tocEl.querySelectorAll("a[data-scroll-target]")] + : []; + const makeActive = (link) => tocLinks[link].classList.add("active"); + const removeActive = (link) => tocLinks[link].classList.remove("active"); + const removeAllActive = () => + [...Array(tocLinks.length).keys()].forEach((link) => removeActive(link)); + + // activate the anchor for a section associated with this TOC entry + tocLinks.forEach((link) => { + link.addEventListener("click", () => { + if (link.href.indexOf("#") !== -1) { + const anchor = link.href.split("#")[1]; + const heading = window.document.querySelector( + `[data-anchor-id="${anchor}"]` + ); + if (heading) { + // Add the class + heading.classList.add("reveal-anchorjs-link"); + + // function to show the anchor + const handleMouseout = () => { + heading.classList.remove("reveal-anchorjs-link"); + heading.removeEventListener("mouseout", handleMouseout); + }; + + // add a function to clear the anchor when the user mouses out of it + heading.addEventListener("mouseout", handleMouseout); + } + } + }); + }); + + const sections = tocLinks.map((link) => { + const target = link.getAttribute("data-scroll-target"); + if (target.startsWith("#")) { + return window.document.getElementById(decodeURI(`${target.slice(1)}`)); + } else { + return window.document.querySelector(decodeURI(`${target}`)); + } + }); + + const sectionMargin = 200; + let currentActive = 0; + // track whether we've initialized state the first time + let init = false; + + const updateActiveLink = () => { + // The index from bottom to top (e.g. reversed list) + let sectionIndex = -1; + if ( + window.innerHeight + window.pageYOffset >= + window.document.body.offsetHeight + ) { + // This is the no-scroll case where last section should be the active one + sectionIndex = 0; + } else { + // This finds the last section visible on screen that should be made active + sectionIndex = [...sections].reverse().findIndex((section) => { + if (section) { + return window.pageYOffset >= section.offsetTop - sectionMargin; + } else { + return false; + } + }); + } + if (sectionIndex > -1) { + const current = sections.length - sectionIndex - 1; + if (current !== currentActive) { + removeAllActive(); + currentActive = current; + makeActive(current); + if (init) { + window.dispatchEvent(sectionChanged); + } + init = true; + } + } + }; + + const inHiddenRegion = (top, bottom, hiddenRegions) => { + for (const region of hiddenRegions) { + if (top <= region.bottom && bottom >= region.top) { + return true; + } + } + return false; + }; + + const categorySelector = "header.quarto-title-block .quarto-category"; + const activateCategories = (href) => { + // Find any categories + // Surround them with a link pointing back to: + // #category=Authoring + try { + const categoryEls = window.document.querySelectorAll(categorySelector); + for (const categoryEl of categoryEls) { + const categoryText = categoryEl.textContent; + if (categoryText) { + const link = `${href}#category=${encodeURIComponent(categoryText)}`; + const linkEl = window.document.createElement("a"); + linkEl.setAttribute("href", link); + for (const child of categoryEl.childNodes) { + linkEl.append(child); + } + categoryEl.appendChild(linkEl); + } + } + } catch { + // Ignore errors + } + }; + function hasTitleCategories() { + return window.document.querySelector(categorySelector) !== null; + } + + function offsetRelativeUrl(url) { + const offset = getMeta("quarto:offset"); + return offset ? offset + url : url; + } + + function offsetAbsoluteUrl(url) { + const offset = getMeta("quarto:offset"); + const baseUrl = new URL(offset, window.location); + + const projRelativeUrl = url.replace(baseUrl, ""); + if (projRelativeUrl.startsWith("/")) { + return projRelativeUrl; + } else { + return "/" + projRelativeUrl; + } + } + + // read a meta tag value + function getMeta(metaName) { + const metas = window.document.getElementsByTagName("meta"); + for (let i = 0; i < metas.length; i++) { + if (metas[i].getAttribute("name") === metaName) { + return metas[i].getAttribute("content"); + } + } + return ""; + } + + async function findAndActivateCategories() { + const currentPagePath = offsetAbsoluteUrl(window.location.href); + const response = await fetch(offsetRelativeUrl("listings.json")); + if (response.status == 200) { + return response.json().then(function (listingPaths) { + const listingHrefs = []; + for (const listingPath of listingPaths) { + const pathWithoutLeadingSlash = listingPath.listing.substring(1); + for (const item of listingPath.items) { + if ( + item === currentPagePath || + item === currentPagePath + "index.html" + ) { + // Resolve this path against the offset to be sure + // we already are using the correct path to the listing + // (this adjusts the listing urls to be rooted against + // whatever root the page is actually running against) + const relative = offsetRelativeUrl(pathWithoutLeadingSlash); + const baseUrl = window.location; + const resolvedPath = new URL(relative, baseUrl); + listingHrefs.push(resolvedPath.pathname); + break; + } + } + } + + // Look up the tree for a nearby linting and use that if we find one + const nearestListing = findNearestParentListing( + offsetAbsoluteUrl(window.location.pathname), + listingHrefs + ); + if (nearestListing) { + activateCategories(nearestListing); + } else { + // See if the referrer is a listing page for this item + const referredRelativePath = offsetAbsoluteUrl(document.referrer); + const referrerListing = listingHrefs.find((listingHref) => { + const isListingReferrer = + listingHref === referredRelativePath || + listingHref === referredRelativePath + "index.html"; + return isListingReferrer; + }); + + if (referrerListing) { + // Try to use the referrer if possible + activateCategories(referrerListing); + } else if (listingHrefs.length > 0) { + // Otherwise, just fall back to the first listing + activateCategories(listingHrefs[0]); + } + } + }); + } + } + if (hasTitleCategories()) { + findAndActivateCategories(); + } + + const findNearestParentListing = (href, listingHrefs) => { + if (!href || !listingHrefs) { + return undefined; + } + // Look up the tree for a nearby linting and use that if we find one + const relativeParts = href.substring(1).split("/"); + while (relativeParts.length > 0) { + const path = relativeParts.join("/"); + for (const listingHref of listingHrefs) { + if (listingHref.startsWith(path)) { + return listingHref; + } + } + relativeParts.pop(); + } + + return undefined; + }; + + const manageSidebarVisiblity = (el, placeholderDescriptor) => { + let isVisible = true; + let elRect; + + return (hiddenRegions) => { + if (el === null) { + return; + } + + // Find the last element of the TOC + const lastChildEl = el.lastElementChild; + + if (lastChildEl) { + // Converts the sidebar to a menu + const convertToMenu = () => { + for (const child of el.children) { + child.style.opacity = 0; + child.style.overflow = "hidden"; + child.style.pointerEvents = "none"; + } + + nexttick(() => { + const toggleContainer = window.document.createElement("div"); + toggleContainer.style.width = "100%"; + toggleContainer.classList.add("zindex-over-content"); + toggleContainer.classList.add("quarto-sidebar-toggle"); + toggleContainer.classList.add("headroom-target"); // Marks this to be managed by headeroom + toggleContainer.id = placeholderDescriptor.id; + toggleContainer.style.position = "fixed"; + + const toggleIcon = window.document.createElement("i"); + toggleIcon.classList.add("quarto-sidebar-toggle-icon"); + toggleIcon.classList.add("bi"); + toggleIcon.classList.add("bi-caret-down-fill"); + + const toggleTitle = window.document.createElement("div"); + const titleEl = window.document.body.querySelector( + placeholderDescriptor.titleSelector + ); + if (titleEl) { + toggleTitle.append( + titleEl.textContent || titleEl.innerText, + toggleIcon + ); + } + toggleTitle.classList.add("zindex-over-content"); + toggleTitle.classList.add("quarto-sidebar-toggle-title"); + toggleContainer.append(toggleTitle); + + const toggleContents = window.document.createElement("div"); + toggleContents.classList = el.classList; + toggleContents.classList.add("zindex-over-content"); + toggleContents.classList.add("quarto-sidebar-toggle-contents"); + for (const child of el.children) { + if (child.id === "toc-title") { + continue; + } + + const clone = child.cloneNode(true); + clone.style.opacity = 1; + clone.style.pointerEvents = null; + clone.style.display = null; + toggleContents.append(clone); + } + toggleContents.style.height = "0px"; + const positionToggle = () => { + // position the element (top left of parent, same width as parent) + if (!elRect) { + elRect = el.getBoundingClientRect(); + } + toggleContainer.style.left = `${elRect.left}px`; + toggleContainer.style.top = `${elRect.top}px`; + toggleContainer.style.width = `${elRect.width}px`; + }; + positionToggle(); + + toggleContainer.append(toggleContents); + el.parentElement.prepend(toggleContainer); + + // Process clicks + let tocShowing = false; + // Allow the caller to control whether this is dismissed + // when it is clicked (e.g. sidebar navigation supports + // opening and closing the nav tree, so don't dismiss on click) + const clickEl = placeholderDescriptor.dismissOnClick + ? toggleContainer + : toggleTitle; + + const closeToggle = () => { + if (tocShowing) { + toggleContainer.classList.remove("expanded"); + toggleContents.style.height = "0px"; + tocShowing = false; + } + }; + + // Get rid of any expanded toggle if the user scrolls + window.document.addEventListener( + "scroll", + throttle(() => { + closeToggle(); + }, 50) + ); + + // Handle positioning of the toggle + window.addEventListener( + "resize", + throttle(() => { + elRect = undefined; + positionToggle(); + }, 50) + ); + + window.addEventListener("quarto-hrChanged", () => { + elRect = undefined; + }); + + // Process the click + clickEl.onclick = () => { + if (!tocShowing) { + toggleContainer.classList.add("expanded"); + toggleContents.style.height = null; + tocShowing = true; + } else { + closeToggle(); + } + }; + }); + }; + + // Converts a sidebar from a menu back to a sidebar + const convertToSidebar = () => { + for (const child of el.children) { + child.style.opacity = 1; + child.style.overflow = null; + child.style.pointerEvents = null; + } + + const placeholderEl = window.document.getElementById( + placeholderDescriptor.id + ); + if (placeholderEl) { + placeholderEl.remove(); + } + + el.classList.remove("rollup"); + }; + + if (isReaderMode()) { + convertToMenu(); + isVisible = false; + } else { + // Find the top and bottom o the element that is being managed + const elTop = el.offsetTop; + const elBottom = + elTop + lastChildEl.offsetTop + lastChildEl.offsetHeight; + + if (!isVisible) { + // If the element is current not visible reveal if there are + // no conflicts with overlay regions + if (!inHiddenRegion(elTop, elBottom, hiddenRegions)) { + convertToSidebar(); + isVisible = true; + } + } else { + // If the element is visible, hide it if it conflicts with overlay regions + // and insert a placeholder toggle (or if we're in reader mode) + if (inHiddenRegion(elTop, elBottom, hiddenRegions)) { + convertToMenu(); + isVisible = false; + } + } + } + } + }; + }; + + const tabEls = document.querySelectorAll('a[data-bs-toggle="tab"]'); + for (const tabEl of tabEls) { + const id = tabEl.getAttribute("data-bs-target"); + if (id) { + const columnEl = document.querySelector( + `${id} .column-margin, .tabset-margin-content` + ); + if (columnEl) + tabEl.addEventListener("shown.bs.tab", function (event) { + const el = event.srcElement; + if (el) { + const visibleCls = `${el.id}-margin-content`; + // walk up until we find a parent tabset + let panelTabsetEl = el.parentElement; + while (panelTabsetEl) { + if (panelTabsetEl.classList.contains("panel-tabset")) { + break; + } + panelTabsetEl = panelTabsetEl.parentElement; + } + + if (panelTabsetEl) { + const prevSib = panelTabsetEl.previousElementSibling; + if ( + prevSib && + prevSib.classList.contains("tabset-margin-container") + ) { + const childNodes = prevSib.querySelectorAll( + ".tabset-margin-content" + ); + for (const childEl of childNodes) { + if (childEl.classList.contains(visibleCls)) { + childEl.classList.remove("collapse"); + } else { + childEl.classList.add("collapse"); + } + } + } + } + } + + layoutMarginEls(); + }); + } + } + + // Manage the visibility of the toc and the sidebar + const marginScrollVisibility = manageSidebarVisiblity(marginSidebarEl, { + id: "quarto-toc-toggle", + titleSelector: "#toc-title", + dismissOnClick: true, + }); + const sidebarScrollVisiblity = manageSidebarVisiblity(sidebarEl, { + id: "quarto-sidebarnav-toggle", + titleSelector: ".title", + dismissOnClick: false, + }); + let tocLeftScrollVisibility; + if (leftTocEl) { + tocLeftScrollVisibility = manageSidebarVisiblity(leftTocEl, { + id: "quarto-lefttoc-toggle", + titleSelector: "#toc-title", + dismissOnClick: true, + }); + } + + // Find the first element that uses formatting in special columns + const conflictingEls = window.document.body.querySelectorAll( + '[class^="column-"], [class*=" column-"], aside, [class*="margin-caption"], [class*=" margin-caption"], [class*="margin-ref"], [class*=" margin-ref"]' + ); + + // Filter all the possibly conflicting elements into ones + // the do conflict on the left or ride side + const arrConflictingEls = Array.from(conflictingEls); + const leftSideConflictEls = arrConflictingEls.filter((el) => { + if (el.tagName === "ASIDE") { + return false; + } + return Array.from(el.classList).find((className) => { + return ( + className !== "column-body" && + className.startsWith("column-") && + !className.endsWith("right") && + !className.endsWith("container") && + className !== "column-margin" + ); + }); + }); + const rightSideConflictEls = arrConflictingEls.filter((el) => { + if (el.tagName === "ASIDE") { + return true; + } + + const hasMarginCaption = Array.from(el.classList).find((className) => { + return className == "margin-caption"; + }); + if (hasMarginCaption) { + return true; + } + + return Array.from(el.classList).find((className) => { + return ( + className !== "column-body" && + !className.endsWith("container") && + className.startsWith("column-") && + !className.endsWith("left") + ); + }); + }); + + const kOverlapPaddingSize = 10; + function toRegions(els) { + return els.map((el) => { + const boundRect = el.getBoundingClientRect(); + const top = + boundRect.top + + document.documentElement.scrollTop - + kOverlapPaddingSize; + return { + top, + bottom: top + el.scrollHeight + 2 * kOverlapPaddingSize, + }; + }); + } + + let hasObserved = false; + const visibleItemObserver = (els) => { + let visibleElements = [...els]; + const intersectionObserver = new IntersectionObserver( + (entries, _observer) => { + entries.forEach((entry) => { + if (entry.isIntersecting) { + if (visibleElements.indexOf(entry.target) === -1) { + visibleElements.push(entry.target); + } + } else { + visibleElements = visibleElements.filter((visibleEntry) => { + return visibleEntry !== entry; + }); + } + }); + + if (!hasObserved) { + hideOverlappedSidebars(); + } + hasObserved = true; + }, + {} + ); + els.forEach((el) => { + intersectionObserver.observe(el); + }); + + return { + getVisibleEntries: () => { + return visibleElements; + }, + }; + }; + + const rightElementObserver = visibleItemObserver(rightSideConflictEls); + const leftElementObserver = visibleItemObserver(leftSideConflictEls); + + const hideOverlappedSidebars = () => { + marginScrollVisibility(toRegions(rightElementObserver.getVisibleEntries())); + sidebarScrollVisiblity(toRegions(leftElementObserver.getVisibleEntries())); + if (tocLeftScrollVisibility) { + tocLeftScrollVisibility( + toRegions(leftElementObserver.getVisibleEntries()) + ); + } + }; + + window.quartoToggleReader = () => { + // Applies a slow class (or removes it) + // to update the transition speed + const slowTransition = (slow) => { + const manageTransition = (id, slow) => { + const el = document.getElementById(id); + if (el) { + if (slow) { + el.classList.add("slow"); + } else { + el.classList.remove("slow"); + } + } + }; + + manageTransition("TOC", slow); + manageTransition("quarto-sidebar", slow); + }; + const readerMode = !isReaderMode(); + setReaderModeValue(readerMode); + + // If we're entering reader mode, slow the transition + if (readerMode) { + slowTransition(readerMode); + } + highlightReaderToggle(readerMode); + hideOverlappedSidebars(); + + // If we're exiting reader mode, restore the non-slow transition + if (!readerMode) { + slowTransition(!readerMode); + } + }; + + const highlightReaderToggle = (readerMode) => { + const els = document.querySelectorAll(".quarto-reader-toggle"); + if (els) { + els.forEach((el) => { + if (readerMode) { + el.classList.add("reader"); + } else { + el.classList.remove("reader"); + } + }); + } + }; + + const setReaderModeValue = (val) => { + if (window.location.protocol !== "file:") { + window.localStorage.setItem("quarto-reader-mode", val); + } else { + localReaderMode = val; + } + }; + + const isReaderMode = () => { + if (window.location.protocol !== "file:") { + return window.localStorage.getItem("quarto-reader-mode") === "true"; + } else { + return localReaderMode; + } + }; + let localReaderMode = null; + + const tocOpenDepthStr = tocEl?.getAttribute("data-toc-expanded"); + const tocOpenDepth = tocOpenDepthStr ? Number(tocOpenDepthStr) : 1; + + // Walk the TOC and collapse/expand nodes + // Nodes are expanded if: + // - they are top level + // - they have children that are 'active' links + // - they are directly below an link that is 'active' + const walk = (el, depth) => { + // Tick depth when we enter a UL + if (el.tagName === "UL") { + depth = depth + 1; + } + + // It this is active link + let isActiveNode = false; + if (el.tagName === "A" && el.classList.contains("active")) { + isActiveNode = true; + } + + // See if there is an active child to this element + let hasActiveChild = false; + for (child of el.children) { + hasActiveChild = walk(child, depth) || hasActiveChild; + } + + // Process the collapse state if this is an UL + if (el.tagName === "UL") { + if (tocOpenDepth === -1 && depth > 1) { + // toc-expand: false + el.classList.add("collapse"); + } else if ( + depth <= tocOpenDepth || + hasActiveChild || + prevSiblingIsActiveLink(el) + ) { + el.classList.remove("collapse"); + } else { + el.classList.add("collapse"); + } + + // untick depth when we leave a UL + depth = depth - 1; + } + return hasActiveChild || isActiveNode; + }; + + // walk the TOC and expand / collapse any items that should be shown + if (tocEl) { + updateActiveLink(); + walk(tocEl, 0); + } + + // Throttle the scroll event and walk peridiocally + window.document.addEventListener( + "scroll", + throttle(() => { + if (tocEl) { + updateActiveLink(); + walk(tocEl, 0); + } + if (!isReaderMode()) { + hideOverlappedSidebars(); + } + }, 5) + ); + window.addEventListener( + "resize", + throttle(() => { + if (tocEl) { + updateActiveLink(); + walk(tocEl, 0); + } + if (!isReaderMode()) { + hideOverlappedSidebars(); + } + }, 10) + ); + hideOverlappedSidebars(); + highlightReaderToggle(isReaderMode()); +}); + +// grouped tabsets +window.addEventListener("pageshow", (_event) => { + function getTabSettings() { + const data = localStorage.getItem("quarto-persistent-tabsets-data"); + if (!data) { + localStorage.setItem("quarto-persistent-tabsets-data", "{}"); + return {}; + } + if (data) { + return JSON.parse(data); + } + } + + function setTabSettings(data) { + localStorage.setItem( + "quarto-persistent-tabsets-data", + JSON.stringify(data) + ); + } + + function setTabState(groupName, groupValue) { + const data = getTabSettings(); + data[groupName] = groupValue; + setTabSettings(data); + } + + function toggleTab(tab, active) { + const tabPanelId = tab.getAttribute("aria-controls"); + const tabPanel = document.getElementById(tabPanelId); + if (active) { + tab.classList.add("active"); + tabPanel.classList.add("active"); + } else { + tab.classList.remove("active"); + tabPanel.classList.remove("active"); + } + } + + function toggleAll(selectedGroup, selectorsToSync) { + for (const [thisGroup, tabs] of Object.entries(selectorsToSync)) { + const active = selectedGroup === thisGroup; + for (const tab of tabs) { + toggleTab(tab, active); + } + } + } + + function findSelectorsToSyncByLanguage() { + const result = {}; + const tabs = Array.from( + document.querySelectorAll(`div[data-group] a[id^='tabset-']`) + ); + for (const item of tabs) { + const div = item.parentElement.parentElement.parentElement; + const group = div.getAttribute("data-group"); + if (!result[group]) { + result[group] = {}; + } + const selectorsToSync = result[group]; + const value = item.innerHTML; + if (!selectorsToSync[value]) { + selectorsToSync[value] = []; + } + selectorsToSync[value].push(item); + } + return result; + } + + function setupSelectorSync() { + const selectorsToSync = findSelectorsToSyncByLanguage(); + Object.entries(selectorsToSync).forEach(([group, tabSetsByValue]) => { + Object.entries(tabSetsByValue).forEach(([value, items]) => { + items.forEach((item) => { + item.addEventListener("click", (_event) => { + setTabState(group, value); + toggleAll(value, selectorsToSync[group]); + }); + }); + }); + }); + return selectorsToSync; + } + + const selectorsToSync 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a/docs/index.html +++ b/docs/index.html @@ -7,7 +7,7 @@ - + Introduction to Zig: a project-based book