export type Vec2 = [number, number];

/** Row-major 3×3 matrix. */
export type Mat3 = [number, number, number, number, number, number, number, number, number];

export type MoveKind = 'cut' | 'rapid';

/** A polyline in millimetres (machine coordinates before per-job alignment). */
export interface Segment {
  kind: MoveKind;
  points: Vec2[];
}

/** Per-job placement: rotate the work coordinates by `rot`, then translate by (tx,ty). mm / radians. */
export interface Alignment {
  tx: number;
  ty: number;
  rot: number;
}

export interface Calibration {
  /** Calibration points in normalized [0,1] camera-frame coordinates. */
  imagePoints: Vec2[];
  /** Corresponding machine coordinates, mm. */
  machinePoints: Vec2[];
  /** machine-mm → normalized [0,1] image coords. */
  homography: Mat3;
}

export interface RenderStyle {
  cutColor: string;
  rapidColor: string;
  lineWidth: number;
}

export interface AppConfig {
  streamUrl: string;
  calibration: Calibration | null;
  renderDefaults: RenderStyle;
}