feat: prevent overlapping of blips

scripts/positioner.ts

@@ -0,0 +1,95 @@
+import { Quadrant, Ring } from "@/lib/types";
+
+type Position = [x: number, y: number];
+type RingDimension = [innerRadius: number, outerRadius: number];
+
+// Corresponding to positions 1, 2, 3, and 4 respectively
+const startAngles = [270, 0, 180, 90];
+
+export default class Positioner {
+  private readonly centerRadius: number;
+  private readonly minDistance: number = 20;
+  private readonly paddingRing: number = 15;
+  private readonly paddingAngle: number = 10;
+  private positions: Record<string, Position[]> = {};
+  private ringDimensions: Record<string, RingDimension> = {};
+  private quadrantAngles: Record<string, number> = {};
+
+  constructor(size: number, quadrants: Quadrant[], rings: Ring[]) {
+    this.centerRadius = size / 2;
+
+    quadrants.forEach((quadrant) => {
+      this.quadrantAngles[quadrant.id] = startAngles[quadrant.position - 1];
+    });
+
+    rings.forEach((ring, index) => {
+      const innerRadius =
+        (rings[index - 1]?.radius ?? 0) * this.centerRadius + this.paddingRing;
+      const outerRadius =
+        (ring.radius ?? 1) * this.centerRadius - this.paddingRing;
+      this.ringDimensions[ring.id] = [innerRadius, outerRadius];
+    });
+  }
+
+  static getDistance(a: Position, b: Position): number {
+    const [x1, y1] = a;
+    const [x2, y2] = b;
+    return Math.sqrt((x1 - x2) ** 2 + (y1 - y2) ** 2);
+  }
+
+  private isOverlapping(position: Position, positions: Position[]): boolean {
+    return positions.some(
+      (p) => Positioner.getDistance(position, p) < this.minDistance,
+    );
+  }
+
+  private getXYPosition(
+    quadrantId: string,
+    ringId: string,
+    radiusFraction: number,
+    angleFraction: number,
+  ): Position {
+    const [innerRadius, outerRadius] = this.ringDimensions[ringId];
+    const ringWidth = outerRadius - innerRadius;
+    const absoluteRadius = innerRadius + radiusFraction * ringWidth;
+
+    const startAngle = this.quadrantAngles[quadrantId] + this.paddingAngle;
+    const endAngle = startAngle + 90 - 2 * this.paddingAngle;
+    const absoluteAngle = startAngle + (endAngle - startAngle) * angleFraction;
+    const angleInRadians = ((absoluteAngle - 90) * Math.PI) / 180;
+
+    return [
+      Math.round(this.centerRadius + absoluteRadius * Math.cos(angleInRadians)),
+      Math.round(this.centerRadius + absoluteRadius * Math.sin(angleInRadians)),
+    ];
+  }
+
+  public getNextPosition(quadrantId: string, ringId: string): Position {
+    this.positions[quadrantId] ??= [];
+
+    let tries = 0;
+    let position: Position;
+
+    do {
+      position = this.getXYPosition(
+        quadrantId,
+        ringId,
+        Math.sqrt(Math.random()),
+        Math.random(),
+      );
+      tries++;
+    } while (
+      this.isOverlapping(position, this.positions[quadrantId]) &&
+      tries < 150
+    );
+
+    if (tries >= 150) {
+      console.warn(
+        `Could not find a non-overlapping position for ${quadrantId} in ring ${ringId}`,
+      );
+    }
+
+    this.positions[quadrantId].push(position);
+    return position;
+  }
+}