problem: no starting point

src/lib/components/ui/carousel/context.ts

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+import type { EmblaCarouselSvelteType } from "embla-carousel-svelte";
+import type emblaCarouselSvelte from "embla-carousel-svelte";
+import { getContext, hasContext, setContext } from "svelte";
+import type { HTMLAttributes } from "svelte/elements";
+import type { Readable, Writable } from "svelte/store";
+
+export type CarouselAPI =
+	NonNullable<NonNullable<EmblaCarouselSvelteType["$$_attributes"]>["on:emblaInit"]> extends (
+		evt: CustomEvent<infer CarouselAPI>
+	) => void
+		? CarouselAPI
+		: never;
+
+type EmblaCarouselConfig = NonNullable<Parameters<typeof emblaCarouselSvelte>[1]>;
+
+export type CarouselOptions = EmblaCarouselConfig["options"];
+export type CarouselPlugins = EmblaCarouselConfig["plugins"];
+
+////
+
+export type CarouselProps = {
+	opts?: CarouselOptions;
+	plugins?: CarouselPlugins;
+	api?: CarouselAPI;
+	orientation?: "horizontal" | "vertical";
+} & HTMLAttributes<HTMLDivElement>;
+
+const EMBLA_CAROUSEL_CONTEXT = Symbol("EMBLA_CAROUSEL_CONTEXT");
+
+type EmblaContext = {
+	api: Writable<CarouselAPI | undefined>;
+	orientation: Writable<"horizontal" | "vertical">;
+	scrollNext: () => void;
+	scrollPrev: () => void;
+	canScrollNext: Readable<boolean>;
+	canScrollPrev: Readable<boolean>;
+	handleKeyDown: (e: KeyboardEvent) => void;
+	options: Writable<CarouselOptions>;
+	plugins: Writable<CarouselPlugins>;
+	onInit: (e: CustomEvent<CarouselAPI>) => void;
+	scrollTo: (index: number, jump?: boolean) => void;
+	scrollSnaps: Readable<number[]>;
+	selectedIndex: Readable<number>;
+};
+
+export function setEmblaContext(config: EmblaContext): EmblaContext {
+	setContext(EMBLA_CAROUSEL_CONTEXT, config);
+	return config;
+}
+
+export function getEmblaContext(name = "This component") {
+	if (!hasContext(EMBLA_CAROUSEL_CONTEXT)) {
+		throw new Error(`${name} must be used within a <Carousel.Root> component`);
+	}
+	return getContext<ReturnType<typeof setEmblaContext>>(EMBLA_CAROUSEL_CONTEXT);
+}