Filter Repositories by type (#29231)

Filter Repositories by type (resolves #1170, #1318)

before:

![image](https://github.com/go-gitea/gitea/assets/72873130/74e6be62-9010-4ab4-8f9b-bd8afbebb8fb)


after:

![image](https://github.com/go-gitea/gitea/assets/72873130/e4d85ed6-7864-4150-8d72-5194dac1293f)

routers/web/explore/repo.go

@@ -109,6 +109,21 @@ func RenderRepoSearch(ctx *context.Context, opts *RepoSearchOptions) {
 	language := ctx.FormTrim("language")
 	ctx.Data["Language"] = language
 
+	archived := ctx.FormOptionalBool("archived")
+	ctx.Data["IsArchived"] = archived
+
+	fork := ctx.FormOptionalBool("fork")
+	ctx.Data["IsFork"] = fork
+
+	mirror := ctx.FormOptionalBool("mirror")
+	ctx.Data["IsMirror"] = mirror
+
+	template := ctx.FormOptionalBool("template")
+	ctx.Data["IsTemplate"] = template
+
+	private := ctx.FormOptionalBool("private")
+	ctx.Data["IsPrivate"] = private
+
 	repos, count, err = repo_model.SearchRepository(ctx, &repo_model.SearchRepoOptions{
 		ListOptions: db.ListOptions{
 			Page:     page,
@@ -125,6 +140,11 @@ func RenderRepoSearch(ctx *context.Context, opts *RepoSearchOptions) {
 		Language:           language,
 		IncludeDescription: setting.UI.SearchRepoDescription,
 		OnlyShowRelevant:   opts.OnlyShowRelevant,
+		Archived:           archived,
+		Fork:               fork,
+		Mirror:             mirror,
+		Template:           template,
+		IsPrivate:          private,
 	})
 	if err != nil {
 		ctx.ServerError("SearchRepository", err)