import type { Vector } from "../../../skia/types";

export interface PolarPoint {
  theta: number;
  radius: number;
}

export const canvas2Cartesian = (v: Vector, center: Vector) => {
  "worklet";
  return {
    x: v.x - center.x,
    y: -1 * (v.y - center.y),
  };
};

export const cartesian2Canvas = (v: Vector, center: Vector) => {
  "worklet";
  return {
    x: v.x + center.x,
    y: -1 * v.y + center.y,
  };
};

export const cartesian2Polar = (v: Vector) => {
  "worklet";
  return {
    theta: Math.atan2(v.y, v.x),
    radius: Math.sqrt(v.x ** 2 + v.y ** 2),
  };
};

export const polar2Cartesian = (p: PolarPoint) => {
  "worklet";
  return {
    x: p.radius * Math.cos(p.theta),
    y: p.radius * Math.sin(p.theta),
  };
};

export const polar2Canvas = (p: PolarPoint, center: Vector) => {
  "worklet";
  return cartesian2Canvas(polar2Cartesian(p), center);
};

export const canvas2Polar = (v: Vector, center: Vector) => {
  "worklet";
  return cartesian2Polar(canvas2Cartesian(v, center));
};