diff --git a/astro.config.ts b/astro.config.ts index f2bedc2..15e3949 100644 --- a/astro.config.ts +++ b/astro.config.ts @@ -20,7 +20,7 @@ export default defineConfig({ remarkDirective, // NOTE: pinned ^5.0.0 remarkMath, - [remarkEmoji, {accessible: true}], + [remarkEmoji as any, {accessible: true}], [remarkRuby, {sep: ';'}], remarkBib, ], diff --git a/package.json b/package.json index 267de1b..c556b28 100644 --- a/package.json +++ b/package.json @@ -15,7 +15,7 @@ "@astrojs/solid-js": "^3.0.2", "@citation-js/plugin-bibtex": "^0.7.2", "@js-temporal/polyfill": "^0.4.4", - "astro": "^3.4.3", + "astro": "^3.4.4", "astro-pagefind": "^1.3.0", "chart.js": "^4.4.0", "citation-js": "^0.7.4", @@ -39,10 +39,10 @@ "unist-util-visit": "^5.0.0" }, "devDependencies": { - "@types/leaflet": "^1.9.7", - "@types/leaflet.markercluster": "^1.5.3", - "@types/reveal.js": "^4.4.5", - "@types/unist": "^3.0.1", + "@types/leaflet": "^1.9.8", + "@types/leaflet.markercluster": "^1.5.4", + "@types/reveal.js": "^4.4.6", + "@types/unist": "^3.0.2", "pagefind": "^1.0.3", "sass": "^1.69.5", "sharp": "^0.32.6" diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml index f3a1cc3..d21c2f3 100644 --- a/pnpm-lock.yaml +++ b/pnpm-lock.yaml @@ -7,7 +7,7 @@ settings: dependencies: '@astrojs/mdx': specifier: ^1.1.3 - version: 1.1.3(astro@3.4.3) + version: 1.1.3(astro@3.4.4) '@astrojs/solid-js': specifier: ^3.0.2 version: 3.0.2(solid-js@1.8.5)(vite@4.5.0) @@ -18,11 +18,11 @@ dependencies: specifier: ^0.4.4 version: 0.4.4 astro: - specifier: ^3.4.3 - version: 3.4.3(sass@1.69.5) + specifier: ^3.4.4 + version: 3.4.4(sass@1.69.5) astro-pagefind: specifier: ^1.3.0 - version: 1.3.0(astro@3.4.3) + version: 1.3.0(astro@3.4.4) chart.js: specifier: ^4.4.0 version: 4.4.0 @@ -86,17 +86,17 @@ dependencies: devDependencies: '@types/leaflet': - specifier: ^1.9.7 - version: 1.9.7 + specifier: ^1.9.8 + version: 1.9.8 '@types/leaflet.markercluster': - specifier: ^1.5.3 - version: 1.5.3 + specifier: ^1.5.4 + version: 1.5.4 '@types/reveal.js': - specifier: ^4.4.5 - version: 4.4.5 + specifier: ^4.4.6 + version: 4.4.6 '@types/unist': - specifier: ^3.0.1 - version: 3.0.1 + specifier: ^3.0.2 + version: 3.0.2 pagefind: specifier: ^1.0.3 version: 1.0.3 @@ -117,21 +117,21 @@ packages: '@jridgewell/trace-mapping': 0.3.20 dev: false - 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'@types/nlcst': 1.0.3 + '@types/nlcst': 1.0.4 dev: false /node-abi@3.51.0: @@ -3918,7 +3918,7 @@ packages: /parse-entities@4.0.1: resolution: {integrity: sha512-SWzvYcSJh4d/SGLIOQfZ/CoNv6BTlI6YEQ7Nj82oDVnRpwe/Z/F1EMx42x3JAOwGBlCjeCH0BRJQbQ/opHL17w==} dependencies: - '@types/unist': 2.0.9 + '@types/unist': 2.0.10 character-entities: 2.0.2 character-entities-legacy: 3.0.0 character-reference-invalid: 2.0.1 @@ -3972,7 +3972,7 @@ packages: /periscopic@3.1.0: resolution: {integrity: sha512-vKiQ8RRtkl9P+r/+oefh25C3fhybptkHKCZSPlcXiJux2tJF55GnEj3BVn4A5gKfq9NWWXXrxkHBwVPUfH0opw==} dependencies: - '@types/estree': 1.0.4 + '@types/estree': 1.0.5 estree-walker: 3.0.3 is-reference: 3.0.2 dev: false @@ -4001,7 +4001,7 @@ packages: resolution: {integrity: sha512-PS08Iboia9mts/2ygV3eLpY5ghnUcfLV/EXTOW1E2qYxJKGGBUtNjN76FYHnMs36RmARn41bC0AZmn+rR0OVpQ==} engines: {node: ^10 || ^12 || >=14} dependencies: - nanoid: 3.3.6 + nanoid: 3.3.7 picocolors: 1.0.0 source-map-js: 1.0.2 dev: false @@ -4106,8 +4106,8 @@ packages: /rehype-katex@7.0.0: resolution: {integrity: sha512-h8FPkGE00r2XKU+/acgqwWUlyzve1IiOKwsEkg4pDL3k48PiE0Pt+/uLtVHDVkN1yA4iurZN6UES8ivHVEQV6Q==} dependencies: - '@types/hast': 3.0.2 - '@types/katex': 0.16.5 + '@types/hast': 3.0.3 + '@types/katex': 0.16.6 hast-util-from-html-isomorphic: 2.0.0 hast-util-to-text: 4.0.0 katex: 0.16.9 @@ -4118,7 +4118,7 @@ packages: /rehype-parse@8.0.5: resolution: {integrity: sha512-Ds3RglaY/+clEX2U2mHflt7NlMA72KspZ0JLUJgBBLpRddBcEw3H8uYZQliQriku22NZpYMfjDdSgHcjxue24A==} dependencies: - '@types/hast': 2.3.7 + '@types/hast': 2.3.8 hast-util-from-parse5: 7.1.2 parse5: 6.0.1 unified: 10.1.2 @@ -4127,7 +4127,7 @@ packages: /rehype-raw@6.1.1: resolution: {integrity: sha512-d6AKtisSRtDRX4aSPsJGTfnzrX2ZkHQLE5kiUuGOeEoLpbEulFF4hj0mLPbsa+7vmguDKOVVEQdHKDSwoaIDsQ==} dependencies: - '@types/hast': 2.3.7 + '@types/hast': 2.3.8 hast-util-raw: 7.2.3 unified: 10.1.2 dev: false @@ -4135,7 +4135,7 @@ packages: /rehype-raw@7.0.0: resolution: {integrity: sha512-/aE8hCfKlQeA8LmyeyQvQF3eBiLRGNlfBJEvWH7ivp9sBqs7TNqBL5X3v157rM4IFETqDnIOO+z5M/biZbo9Ww==} dependencies: - '@types/hast': 3.0.2 + '@types/hast': 3.0.3 hast-util-raw: 9.0.1 vfile: 6.0.1 dev: false @@ -4143,7 +4143,7 @@ packages: /rehype-stringify@10.0.0: resolution: {integrity: sha512-1TX1i048LooI9QoecrXy7nGFFbFSufxVRAfc6Y9YMRAi56l+oB0zP51mLSV312uRuvVLPV1opSlJmslozR1XHQ==} dependencies: - '@types/hast': 3.0.2 + '@types/hast': 3.0.3 hast-util-to-html: 9.0.0 unified: 11.0.4 dev: false @@ -4151,7 +4151,7 @@ packages: /rehype-stringify@9.0.4: resolution: {integrity: sha512-Uk5xu1YKdqobe5XpSskwPvo1XeHUUucWEQSl8hTrXt5selvca1e8K1EZ37E6YoZ4BT8BCqCdVfQW7OfHfthtVQ==} dependencies: - '@types/hast': 2.3.7 + '@types/hast': 2.3.8 hast-util-to-html: 8.0.4 unified: 10.1.2 dev: false @@ -4159,7 +4159,7 @@ packages: /rehype@12.0.1: resolution: {integrity: sha512-ey6kAqwLM3X6QnMDILJthGvG1m1ULROS9NT4uG9IDCuv08SFyLlreSuvOa//DgEvbXx62DS6elGVqusWhRUbgw==} dependencies: - '@types/hast': 2.3.7 + '@types/hast': 2.3.8 rehype-parse: 8.0.5 rehype-stringify: 9.0.4 unified: 10.1.2 @@ -4168,7 +4168,7 @@ packages: /remark-directive@2.0.1: resolution: {integrity: sha512-oosbsUAkU/qmUE78anLaJePnPis4ihsE7Agp0T/oqTzvTea8pOiaYEtfInU/+xMOVTS9PN5AhGOiaIVe4GD8gw==} dependencies: - '@types/mdast': 3.0.14 + '@types/mdast': 3.0.15 mdast-util-directive: 2.2.4 micromark-extension-directive: 2.2.1 unified: 10.1.2 @@ -4180,7 +4180,7 @@ packages: resolution: {integrity: sha512-fHdvsTR1dHkWKev9eNyhTo4EFwbUvJ8ka9SgeWkMPYFX4WoI7ViVBms3PjlQYgw5TLvNQso3GUB/b/8t3yo+dg==} engines: {node: ^12.20.0 || ^14.13.1 || >=16.0.0} dependencies: - 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As an example, the function `add` shown below adds together two values of type `Int`. ```haskell @@ -138,10 +138,100 @@ When `Num` is applied to `Int`, it becomes a constraint on the `Int` type, indic ```haskell Num Int :: Constraint ``` +Another example of a kind in Haskell is the kind of unary type constructors `* -> *`. +These unary type constructors are similar to generic types in other languages because they accept a type parameter and produce a new type. +The signature `* -> *` signifies that the type constructor transforms one concrete type into another concrete type. + +An example of a trivial type constructor `Item` is shown below. + +```haskell +data Item a = MkItem a + +Item :: * -> * +Item Int :: * +Item String :: * +``` + +In this definition, `Item` is a unary type constructor because it takes a type parameter `a` and produces a new type `Item a`, where `a` can be any concrete type. + +A commonly used example of a unary type constructor in Haskell is the `Maybe` type. +`Maybe` is used for representing optional values and handling potentially missing or undefined data in a type-safe manner. +Its definition is as follows: + +```haskell +data Maybe a = Nothing | Just a + +Maybe :: * -> * +``` + +Haskell type constructors can be parameterized with more than one type variable, as seen in the case of binary type constructors. +An example of a binary type constructor is the `Either` data type: + +```haskell +data Either a b = Left a | Right b + +Either :: * -> * -> * +Either String :: * -> * +Either String Int :: * +``` + +In this definition, `Either` is a binary type constructor because it requires two type parameters, `a` and `b`, to create a new type, `Either a b`. +The `Either` type is often used for scenarios where a value can have one of two possible types, such as representing success or failure or providing an alternative to error handling. +Conventionally, the `Left` value indicates error conditions, while the `Right` value signifies valid or correct values. + ### Higher Kinded Types -### The venerable monad +In Haskell, understanding the concept of "Higher Kinded Types" is crucial for grasping how certain more abstract type classes work. +HKTs involve type classes that are parameterized by type constructors, rather than just simple types. + +The `Functor` type class is an example of a HKT class. +It defines two fundamental operations, `fmap` and `<$`, which operate on a type constructor `f`. + +The Functor type class is defined as follows: + +```haskell +class Functor f where + fmap :: (a -> b) -> f a -> f b + (<$) :: a -> f b -> f a + +Functor :: (* -> *) -> Constraint +``` + +The `Functor` type class is not constrained to specific types but is rather parameterized by type constructors. +Its kind signature is `(* -> *) -> Constraint`, indicating that it works with type constructors. +This allows it to be applied to types like `Maybe`, `List`, or other container types that accept a type argument. + +Similarly to `Functor`, the `Monad` type class is another example of a HKT type class. +It defines functions for monadic operations, such as `>>=`, `>>`, and `return`. + +The definition of the `Monad` type class is as follows: + +```haskell +class Monad m where + (>>=) :: m a -> ( a -> m b) -> m b + (>>) :: m a -> m b -> m b + return :: a -> m a + +Monad :: (* -> *) -> Constraint +``` + +Like the `Functor` type class, the `Monad` type class is not tied to specific types but is parameterized by type constructors. +Its kind signature is also `(* -> *) -> Constraint`. + +It is worth noting that type classes with a kind of `(* -> *) -> Constraint` can be applied to kinds like `* -> * -> *`. +An example of this is the `Functor` instance of `Either`: + +```haskell +instance Functor (Either a) where + fmap _ (Left x) = Left x + fmap f (Right x) = Right (f x) + +``` + +In the instance declaration above, we specify that, for any type `a`, `Either a` is an instance of the `Functor` type class. +This allows you to use the `fmap` function with `Either a`, providing a way to map over the second type argument of the `Either` type while keeping the first type argument fixed. + ## Other languages