diff --git a/commit-graph.c b/commit-graph.c
index 4356c8c1f4..d1c98681e8 100644
--- a/commit-graph.c
+++ b/commit-graph.c
@@ -1559,13 +1559,31 @@ static void compute_topological_levels(struct write_commit_graph_context *ctx)
 	stop_progress(&ctx->progress);
 }
 
+static timestamp_t get_generation_from_graph_data(struct commit *c, void *data)
+{
+	return commit_graph_data_at(c)->generation;
+}
+
+static void set_generation_v2(struct commit *c, timestamp_t t, void *data)
+{
+	struct commit_graph_data *g = commit_graph_data_at(c);
+	g->generation = (uint32_t)t;
+}
+
 static void compute_generation_numbers(struct write_commit_graph_context *ctx)
 {
 	int i;
-	struct commit_list *list = NULL;
+	struct compute_generation_info info = {
+		.r = ctx->r,
+		.commits = &ctx->commits,
+		.get_generation = get_generation_from_graph_data,
+		.set_generation = set_generation_v2,
+		.data = ctx,
+	};
 
 	if (ctx->report_progress)
-		ctx->progress = start_delayed_progress(
+		info.progress = ctx->progress
+			      = start_delayed_progress(
 					_("Computing commit graph generation numbers"),
 					ctx->commits.nr);
 
@@ -1577,47 +1595,7 @@ static void compute_generation_numbers(struct write_commit_graph_context *ctx)
 		}
 	}
 
-	for (i = 0; i < ctx->commits.nr; i++) {
-		struct commit *c = ctx->commits.list[i];
-		timestamp_t corrected_commit_date;
-
-		repo_parse_commit(ctx->r, c);
-		corrected_commit_date = commit_graph_data_at(c)->generation;
-
-		display_progress(ctx->progress, i + 1);
-		if (corrected_commit_date != GENERATION_NUMBER_ZERO)
-			continue;
-
-		commit_list_insert(c, &list);
-		while (list) {
-			struct commit *current = list->item;
-			struct commit_list *parent;
-			int all_parents_computed = 1;
-			timestamp_t max_corrected_commit_date = 0;
-
-			for (parent = current->parents; parent; parent = parent->next) {
-				repo_parse_commit(ctx->r, parent->item);
-				corrected_commit_date = commit_graph_data_at(parent->item)->generation;
-
-				if (corrected_commit_date == GENERATION_NUMBER_ZERO) {
-					all_parents_computed = 0;
-					commit_list_insert(parent->item, &list);
-					break;
-				}
-
-				if (corrected_commit_date > max_corrected_commit_date)
-					max_corrected_commit_date = corrected_commit_date;
-			}
-
-			if (all_parents_computed) {
-				pop_commit(&list);
-
-				if (current->date && current->date > max_corrected_commit_date)
-					max_corrected_commit_date = current->date - 1;
-				commit_graph_data_at(current)->generation = max_corrected_commit_date + 1;
-			}
-		}
-	}
+	compute_reachable_generation_numbers(&info, 2);
 
 	for (i = 0; i < ctx->commits.nr; i++) {
 		struct commit *c = ctx->commits.list[i];