# 离线只读验证：不访问网络、不操作设备，只读取同目录合成输入。
import json, math, struct, statistics
from pathlib import Path
def check(d):
 out=[]
 for a in d['matrices']:
  det=a[0][0]*(a[1][1]*a[2][2]-a[1][2]*a[2][1])-a[0][1]*(a[1][0]*a[2][2]-a[1][2]*a[2][0])+a[0][2]*(a[1][0]*a[2][1]-a[1][1]*a[2][0])
  out.append(dict(det=det,mapped_z=[r[2] for r in a],handedness='保持' if det>0 else '镜像' if det<0 else '退化'))
 return out

if __name__=='__main__':
 fixture=json.loads(Path(__file__).with_name('fixture.json').read_text(encoding='utf-8'))
 actual=check(fixture['input'])
 assert actual==fixture['expected'], {'实际':actual,'预期':fixture['expected']}
 print(json.dumps({'状态':'通过','实际':actual,'边界':'仅离线合成样例，现场未测'},ensure_ascii=False))