feat: extract graph-interface into seperate package

app/src/lib/graph-templates/tree.ts

@@ -0,0 +1,56 @@
+import type { Graph, Node } from "@nodes/types";
+
+export function tree(depth: number): Graph {
+
+  const nodes: Node[] = [
+    {
+      id: 0,
+      type: "max/plantarium/output",
+      position: [0, 0]
+    },
+    {
+      id: 1,
+      type: "max/plantarium/math",
+      position: [-40, -10]
+    }
+  ]
+
+  const edges: [number, number, number, string][] = [
+    [1, 0, 0, "input"]
+  ];
+
+  for (let d = 0; d < depth; d++) {
+    const amount = Math.pow(2, d);
+    for (let i = 0; i < amount; i++) {
+
+      const id0 = amount * 2 + i * 2;
+      const id1 = amount * 2 + i * 2 + 1;
+
+      const parent = Math.floor(id0 / 2);
+
+      const x = -(d + 1) * 50 - 40;
+      const y = i * 80 - amount * 35;
+
+      nodes.push({
+        id: id0,
+        type: "max/plantarium/math",
+        position: [x, y],
+      });
+      edges.push([id0, 0, parent, "a"]);
+      nodes.push({
+        id: id1,
+        type: "max/plantarium/math",
+        position: [x, y + 35],
+      });
+      edges.push([id1, 0, parent, "b"]);
+    }
+  }
+
+
+  return {
+    id: Math.floor(Math.random() * 100000),
+    nodes,
+    edges
+  };
+
+}