dyolink/frontend/src/components/ui/treatment/toothPathModel.ts

import type { FdiToothId } from '@/types/treatment';
import type { ToothShapeKind } from '@/components/treatment/fdiToothMeta';

export interface ToothPathModel {
  crown: string;
  roots: string[];
  /** Occlusal groove etc. — open path, stroke only */
  detailStroke?: { d: string; widthScale: number };
}

/** FDI-specific closed paths for the clinical (gradient) chart. Wireframe uses `getTextbookToothPathModel`. */
export function getToothPathModel(fdi: FdiToothId, kind: ToothShapeKind, upper?: boolean): ToothPathModel | null {
  const lastDigit = Number(fdi[1]);
  const isThirdMolar = lastDigit === 8;
  const isSecondMolar = lastDigit === 7;
  const isFirstMolar = lastDigit === 6;
  const isCentralIncisor = lastDigit === 1;
  const isLateralIncisor = lastDigit === 2;

  switch (kind) {
    case 'incisor':
      if (isLateralIncisor) {
        return {
          crown: 'M12 9 C14 6, 22 6, 24 9 C26 12, 26 25, 23 30 C21 32, 15 32, 13 30 C10 25, 10 12, 12 9 Z',
          roots: ['M15.5 30 C14.5 40, 14.5 51, 16 60 C17 65, 19 65, 20 60 C21.5 51, 21.5 40, 20.5 30 Z'],
        };
      }
      return {
        crown: 'M11 8 C13 5, 23 5, 25 8 C27 12, 27 26, 24 31 C22 33, 14 33, 12 31 C9 26, 9 12, 11 8 Z',
        roots: ['M15 31 C14 42, 14 53, 16 63 C17 68, 19 68, 20 63 C22 53, 22 42, 21 31 Z'],
      };
    case 'canine':
      return {
        crown: 'M18 6 C22 6, 25 10, 26 15 C26 20, 24 30, 22 33 C20 35, 16 35, 14 33 C12 30, 10 20, 10 15 C11 10, 14 6, 18 6 Z',
        roots: ['M16 33 C14 44, 13 55, 14 66 C15 72, 18 75, 20 66 C21 55, 20 44, 20 33 Z'],
      };
    case 'premolar':
      if (upper && lastDigit === 4) {
        return {
          crown: 'M9 12 C11 8, 15 7, 18 9 C21 7, 25 8, 27 12 C29 16, 29 25, 26 31 C24 34, 12 34, 10 31 C7 25, 7 16, 9 12 Z',
          roots: [
            'M13 31 C12 39, 12 48, 13 56 C14 62, 16 64, 17 58 C18 54, 18 48, 18 41 Z',
            'M23 31 C24 39, 24 48, 23 56 C22 62, 20 64, 19 58 C18 54, 18 48, 18 41 Z',
          ],
        };
      }
      return {
        crown: 'M9 12 C11 8, 15 7, 18 9 C21 7, 25 8, 27 12 C29 16, 29 26, 26 31 C24 34, 12 34, 10 31 C7 26, 7 16, 9 12 Z',
        roots: ['M16 31 C15 42, 15 53, 16 62 C17 67, 19 67, 20 62 C21 53, 21 42, 20 31 Z'],
      };
    case 'molar':
      if (isThirdMolar) {
        const crown =
          'M9 15 C11 11, 14 10, 17 11 C20 9, 24 10, 26 14 C28 18, 28 26, 25 31 C23 33, 11 33, 9 31 C6 26, 6 19, 9 15 Z';
        if (upper) {
          return {
            crown,
            roots: [
              'M14 32 C13 39, 13 47, 14 54 C15 59, 17 61, 18 55 C19 50, 19 41, 18 33 Z',
              'M22 32 C23 39, 23 47, 22 54 C21 59, 19 61, 18 55 C17 50, 17 41, 18 33 Z',
            ],
          };
        }
        return {
          crown,
          roots: [
            'M14 32 C12 39, 12 47, 13 55 C14 61, 16 64, 18 57 C19 52, 19 44, 18 36 Z',
            'M22 32 C24 39, 24 47, 23 55 C22 61, 20 64, 18 57 C17 52, 17 44, 18 36 Z',
          ],
        };
      }
      if (isSecondMolar && upper) {
        return {
          crown: 'M8 14 C10 9, 13 8, 16 10 C18 8, 21 8, 23 10 C26 8, 29 9, 30 14 C31 18, 31 27, 28 32 C26 35, 10 35, 8 32 C5 27, 5 18, 8 14 Z',
          roots: [
            'M11 35 C9 43, 9 50, 10 57 C11 62, 13 64, 14 58 C15 52, 15 44, 14 36 Z',
            'M18 35 C17 44, 17 52, 18 60 C19 66, 20 66, 21 60 C22 52, 22 44, 21 35 Z',
            'M25 35 C27 43, 27 50, 26 57 C25 62, 23 64, 22 58 C21 52, 21 44, 22 36 Z',
          ],
        };
      }
      if (isFirstMolar && !upper) {
        return {
          crown: 'M7 14 C9 9, 13 8, 16 10 C18 8, 21 8, 23 10 C26 8, 30 9, 31 14 C32 18, 32 27, 29 32 C27 35, 9 35, 7 32 C4 27, 4 18, 7 14 Z',
          roots: [
            'M11 35 C9 43, 9 50, 10 58 C11 64, 14 67, 16 60 C17 56, 17 50, 17 44 Z',
            'M25 35 C27 43, 27 50, 26 58 C25 64, 22 67, 20 60 C19 56, 19 50, 19 44 Z',
          ],
          detailStroke: { d: 'M15 61 Q18 66 21 61', widthScale: 0.85 },
        };
      }
      if (upper) {
        return {
          crown: 'M7 14 C9 9, 13 8, 16 10 C18 8, 21 8, 23 10 C26 8, 30 9, 31 14 C32 18, 32 27, 29 32 C27 35, 9 35, 7 32 C4 27, 4 18, 7 14 Z',
          roots: [
            'M11 35 C9 43, 9 50, 10 57 C11 62, 13 64, 14 58 C15 52, 15 44, 14 36 Z',
            'M18 35 C17 44, 17 52, 18 60 C19 66, 20 66, 21 60 C22 52, 22 44, 21 35 Z',
            'M25 35 C27 43, 27 50, 26 57 C25 62, 23 64, 22 58 C21 52, 21 44, 22 36 Z',
          ],
        };
      }
      return {
        crown: 'M7 14 C9 9, 13 8, 16 10 C18 8, 21 8, 23 10 C26 8, 30 9, 31 14 C32 18, 32 27, 29 32 C27 35, 9 35, 7 32 C4 27, 4 18, 7 14 Z',
        roots: [
          'M11 35 C9 43, 9 50, 10 58 C11 64, 14 67, 16 60 C17 56, 17 50, 17 44 Z',
          'M25 35 C27 43, 27 50, 26 58 C25 64, 22 67, 20 60 C19 56, 19 50, 19 44 Z',
        ],
        detailStroke: { d: 'M15 61 Q18 66 21 61', widthScale: 0.85 },
      };
    default:
      return null;
  }
}