File size: 300,133 Bytes
976ea11
 
 
 
 
 
 
 
 
1423b78
 
 
 
976ea11
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1423b78
 
 
 
 
 
 
 
 
976ea11
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1423b78
976ea11
 
 
 
1423b78
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
976ea11
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1423b78
 
 
 
 
 
 
 
 
 
 
 
976ea11
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1423b78
 
 
 
 
 
 
976ea11
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1423b78
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
976ea11
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1423b78
 
 
976ea11
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1423b78
 
 
 
 
 
 
 
976ea11
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1423b78
 
 
 
 
976ea11
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1423b78
 
 
 
 
 
 
 
976ea11
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052
3053
3054
3055
3056
3057
3058
3059
3060
3061
3062
3063
3064
3065
3066
3067
3068
3069
3070
3071
3072
3073
3074
3075
3076
3077
3078
3079
3080
3081
3082
3083
3084
3085
3086
3087
3088
3089
3090
3091
3092
3093
3094
3095
3096
3097
3098
3099
3100
3101
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151
3152
3153
3154
3155
3156
3157
3158
3159
3160
3161
3162
3163
3164
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187
3188
3189
3190
3191
3192
3193
3194
3195
3196
3197
3198
3199
3200
3201
3202
3203
3204
3205
3206
3207
3208
3209
3210
3211
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225
3226
3227
3228
3229
3230
3231
3232
3233
3234
3235
3236
3237
3238
3239
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275
3276
3277
3278
3279
3280
3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
3291
3292
3293
3294
3295
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306
3307
3308
3309
3310
3311
3312
3313
3314
3315
3316
3317
3318
3319
3320
3321
3322
3323
3324
3325
3326
3327
3328
3329
3330
3331
3332
3333
3334
3335
3336
3337
3338
3339
3340
3341
3342
3343
3344
3345
3346
3347
3348
3349
3350
3351
3352
3353
3354
3355
3356
3357
3358
3359
3360
3361
3362
3363
3364
3365
3366
3367
3368
3369
3370
3371
3372
3373
3374
3375
3376
3377
3378
3379
3380
3381
3382
3383
3384
3385
3386
3387
3388
3389
3390
3391
3392
3393
3394
3395
3396
3397
3398
3399
3400
3401
3402
3403
3404
3405
3406
3407
3408
3409
3410
3411
3412
3413
3414
3415
3416
3417
3418
3419
3420
3421
3422
3423
3424
3425
3426
3427
3428
3429
3430
3431
3432
3433
3434
3435
3436
3437
3438
3439
3440
3441
3442
3443
3444
3445
3446
3447
3448
3449
3450
3451
3452
3453
3454
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464
3465
3466
3467
3468
3469
3470
3471
3472
3473
3474
3475
3476
3477
3478
3479
3480
3481
3482
3483
3484
3485
3486
3487
3488
3489
3490
3491
3492
3493
3494
3495
3496
3497
3498
3499
3500
3501
3502
3503
3504
3505
3506
3507
3508
3509
3510
3511
3512
3513
3514
3515
3516
3517
3518
3519
3520
3521
3522
3523
3524
3525
3526
3527
3528
3529
3530
3531
3532
3533
3534
3535
3536
3537
3538
3539
3540
3541
3542
3543
3544
3545
3546
3547
3548
3549
3550
3551
3552
3553
3554
3555
3556
3557
3558
3559
3560
3561
3562
3563
3564
3565
3566
3567
3568
3569
3570
3571
3572
3573
3574
3575
3576
3577
3578
3579
3580
3581
3582
3583
3584
3585
3586
3587
3588
3589
3590
3591
3592
3593
3594
3595
3596
3597
3598
3599
3600
3601
3602
3603
3604
3605
3606
3607
3608
3609
3610
3611
3612
3613
3614
3615
3616
3617
3618
3619
3620
3621
3622
3623
3624
3625
3626
3627
3628
3629
3630
3631
3632
3633
3634
3635
3636
3637
3638
3639
3640
3641
3642
3643
3644
3645
3646
3647
3648
3649
3650
3651
3652
3653
3654
3655
3656
3657
3658
3659
3660
3661
3662
3663
3664
3665
3666
3667
3668
3669
3670
3671
3672
3673
3674
3675
3676
3677
3678
3679
3680
3681
3682
3683
3684
3685
3686
3687
3688
3689
3690
3691
3692
3693
3694
3695
3696
3697
3698
3699
3700
3701
3702
3703
3704
3705
3706
3707
3708
3709
3710
3711
3712
3713
3714
3715
3716
3717
3718
3719
3720
3721
3722
3723
3724
3725
3726
3727
3728
3729
3730
3731
3732
3733
3734
3735
3736
3737
3738
3739
3740
3741
3742
3743
3744
3745
3746
3747
3748
3749
3750
3751
3752
3753
3754
3755
3756
3757
3758
3759
3760
3761
3762
3763
3764
3765
3766
3767
3768
3769
3770
3771
3772
3773
3774
3775
3776
3777
3778
3779
3780
3781
3782
3783
3784
3785
3786
3787
3788
3789
3790
3791
3792
3793
3794
3795
3796
3797
3798
3799
3800
3801
3802
3803
3804
3805
3806
3807
3808
3809
3810
3811
3812
3813
3814
3815
3816
3817
3818
3819
3820
3821
3822
3823
3824
3825
3826
3827
3828
3829
3830
3831
3832
3833
3834
3835
3836
3837
3838
3839
3840
3841
3842
3843
3844
3845
3846
3847
3848
3849
3850
3851
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
3868
3869
3870
3871
3872
3873
3874
3875
3876
3877
3878
3879
3880
3881
3882
3883
3884
3885
3886
3887
3888
3889
3890
3891
3892
3893
3894
3895
3896
3897
3898
3899
3900
3901
3902
3903
3904
3905
3906
3907
3908
3909
3910
3911
3912
3913
3914
3915
3916
3917
3918
3919
3920
3921
3922
3923
3924
3925
3926
3927
3928
3929
3930
3931
3932
3933
3934
3935
3936
3937
3938
3939
3940
3941
3942
3943
3944
3945
3946
3947
3948
3949
3950
3951
3952
3953
3954
3955
3956
3957
3958
3959
3960
3961
3962
3963
3964
3965
3966
3967
3968
3969
3970
3971
3972
3973
3974
3975
3976
3977
3978
3979
3980
3981
3982
3983
3984
3985
3986
3987
3988
3989
3990
3991
3992
3993
3994
3995
3996
3997
3998
3999
4000
4001
4002
4003
4004
4005
4006
4007
4008
4009
4010
4011
4012
4013
4014
4015
4016
4017
4018
4019
4020
4021
4022
4023
4024
4025
4026
4027
4028
4029
4030
4031
4032
4033
4034
4035
4036
4037
4038
4039
4040
4041
4042
4043
4044
4045
4046
4047
4048
4049
4050
4051
4052
4053
4054
4055
4056
4057
4058
4059
4060
4061
4062
4063
4064
4065
4066
4067
4068
4069
4070
4071
4072
4073
4074
4075
4076
4077
4078
4079
4080
4081
4082
4083
4084
4085
4086
4087
4088
4089
4090
4091
4092
4093
4094
4095
4096
4097
4098
4099
4100
4101
4102
4103
4104
4105
4106
4107
4108
4109
4110
4111
4112
4113
4114
4115
4116
4117
4118
4119
4120
4121
4122
4123
4124
4125
4126
4127
4128
4129
4130
4131
4132
4133
4134
4135
4136
4137
4138
4139
4140
4141
4142
4143
4144
4145
4146
4147
4148
4149
4150
4151
4152
4153
4154
4155
4156
4157
4158
4159
4160
4161
4162
4163
4164
4165
4166
4167
4168
4169
4170
4171
4172
4173
4174
4175
4176
4177
4178
4179
4180
4181
4182
4183
4184
4185
4186
4187
4188
4189
4190
4191
4192
4193
4194
4195
4196
4197
4198
4199
4200
4201
4202
4203
4204
4205
4206
4207
4208
4209
4210
4211
4212
4213
4214
4215
4216
4217
4218
4219
4220
4221
4222
4223
4224
4225
4226
4227
4228
4229
4230
4231
4232
4233
4234
4235
4236
4237
4238
4239
4240
4241
4242
4243
4244
4245
4246
4247
4248
4249
4250
4251
4252
4253
4254
4255
4256
4257
4258
4259
4260
4261
4262
4263
4264
4265
4266
4267
4268
4269
4270
4271
4272
4273
4274
4275
4276
4277
4278
4279
4280
4281
4282
4283
4284
4285
4286
4287
4288
4289
4290
4291
4292
4293
4294
4295
4296
4297
4298
4299
4300
4301
4302
4303
4304
4305
4306
4307
4308
4309
4310
4311
4312
4313
4314
4315
4316
4317
4318
4319
4320
4321
4322
4323
4324
4325
4326
4327
4328
4329
4330
4331
4332
4333
4334
4335
4336
4337
4338
4339
4340
4341
4342
4343
4344
4345
4346
4347
4348
4349
4350
4351
4352
4353
4354
4355
4356
4357
4358
4359
4360
4361
4362
4363
4364
4365
4366
4367
4368
4369
4370
4371
4372
4373
4374
4375
4376
4377
4378
4379
4380
4381
4382
4383
4384
4385
4386
4387
4388
4389
4390
4391
4392
4393
4394
4395
4396
4397
4398
4399
4400
4401
4402
4403
4404
4405
4406
4407
4408
4409
4410
4411
4412
4413
4414
4415
4416
4417
4418
4419
4420
4421
4422
4423
4424
4425
4426
4427
4428
4429
4430
4431
4432
4433
4434
4435
4436
4437
4438
4439
4440
4441
4442
4443
4444
4445
4446
4447
4448
4449
4450
4451
4452
4453
4454
4455
4456
4457
4458
4459
4460
4461
4462
4463
4464
4465
4466
4467
4468
4469
4470
4471
4472
4473
4474
4475
4476
4477
4478
4479
4480
4481
4482
4483
4484
4485
4486
4487
4488
4489
4490
4491
4492
4493
4494
4495
4496
4497
4498
4499
4500
4501
4502
4503
4504
4505
4506
4507
4508
4509
4510
4511
4512
4513
4514
4515
4516
4517
4518
4519
4520
4521
4522
4523
4524
4525
4526
4527
4528
4529
4530
4531
4532
4533
4534
4535
4536
4537
4538
4539
4540
4541
4542
4543
4544
4545
4546
4547
4548
4549
4550
4551
4552
4553
4554
4555
4556
4557
4558
4559
4560
4561
4562
4563
4564
4565
4566
4567
4568
4569
4570
4571
4572
4573
4574
4575
4576
4577
4578
4579
4580
4581
4582
4583
4584
4585
4586
4587
4588
4589
4590
4591
4592
4593
4594
4595
4596
4597
4598
4599
4600
4601
4602
4603
4604
4605
4606
4607
4608
4609
4610
4611
4612
4613
4614
4615
4616
4617
4618
4619
4620
4621
4622
4623
4624
4625
4626
4627
4628
4629
4630
4631
4632
4633
4634
4635
4636
4637
4638
4639
4640
4641
4642
4643
4644
4645
4646
4647
4648
4649
4650
4651
4652
4653
4654
4655
4656
4657
4658
4659
4660
4661
4662
4663
4664
4665
4666
4667
4668
4669
4670
4671
4672
4673
4674
4675
4676
4677
4678
4679
4680
4681
4682
4683
4684
4685
4686
4687
4688
4689
4690
4691
4692
4693
4694
4695
4696
4697
4698
4699
4700
4701
4702
4703
4704
4705
4706
4707
4708
4709
4710
4711
4712
4713
4714
4715
4716
4717
4718
4719
4720
4721
4722
4723
4724
4725
4726
4727
4728
4729
4730
4731
4732
4733
4734
4735
4736
4737
4738
4739
4740
4741
4742
4743
4744
4745
4746
4747
4748
4749
4750
4751
4752
4753
4754
4755
4756
4757
4758
4759
4760
4761
4762
4763
4764
4765
4766
4767
4768
4769
4770
4771
4772
4773
4774
4775
4776
4777
4778
4779
4780
4781
4782
4783
4784
4785
4786
4787
4788
4789
4790
4791
4792
4793
4794
4795
4796
4797
4798
4799
4800
4801
4802
4803
4804
4805
4806
4807
4808
4809
4810
4811
4812
4813
4814
4815
4816
4817
4818
4819
4820
4821
4822
4823
4824
4825
4826
4827
4828
4829
4830
4831
4832
4833
4834
4835
4836
4837
4838
4839
4840
4841
4842
4843
4844
4845
4846
4847
4848
4849
4850
4851
4852
4853
4854
4855
4856
4857
4858
4859
4860
4861
4862
4863
4864
4865
4866
4867
4868
4869
4870
4871
4872
4873
4874
4875
4876
4877
4878
4879
4880
4881
4882
4883
4884
4885
4886
4887
4888
4889
4890
4891
4892
4893
4894
4895
4896
4897
4898
4899
4900
4901
4902
4903
4904
4905
4906
4907
4908
4909
4910
4911
4912
4913
4914
4915
4916
4917
4918
4919
4920
4921
4922
4923
4924
4925
4926
4927
4928
4929
4930
4931
4932
4933
4934
4935
4936
4937
4938
4939
4940
4941
4942
4943
4944
4945
4946
4947
4948
4949
4950
4951
4952
4953
4954
4955
4956
4957
4958
4959
4960
4961
4962
4963
4964
4965
4966
4967
4968
4969
4970
4971
4972
4973
4974
4975
4976
4977
4978
4979
4980
4981
4982
4983
4984
4985
4986
4987
4988
4989
4990
4991
4992
4993
4994
4995
4996
4997
4998
4999
5000
5001
5002
5003
5004
5005
5006
5007
5008
5009
5010
5011
5012
5013
5014
5015
5016
5017
5018
5019
5020
5021
5022
5023
5024
5025
5026
5027
5028
5029
5030
5031
5032
5033
5034
5035
5036
5037
5038
5039
5040
5041
5042
5043
5044
5045
5046
5047
5048
5049
5050
5051
5052
5053
5054
5055
5056
5057
5058
5059
5060
5061
5062
5063
5064
5065
5066
5067
5068
5069
5070
5071
5072
5073
5074
5075
5076
5077
5078
5079
5080
5081
5082
5083
5084
5085
5086
5087
5088
5089
5090
5091
5092
5093
5094
5095
5096
5097
5098
5099
5100
5101
5102
5103
5104
5105
5106
5107
5108
5109
5110
5111
5112
5113
5114
5115
5116
5117
5118
5119
5120
5121
5122
5123
5124
5125
5126
5127
5128
5129
5130
5131
5132
5133
5134
5135
5136
5137
5138
5139
5140
5141
5142
5143
5144
5145
5146
5147
5148
5149
5150
5151
5152
5153
5154
5155
5156
5157
5158
5159
5160
5161
5162
5163
5164
5165
5166
5167
5168
5169
5170
5171
5172
5173
5174
5175
5176
5177
5178
5179
5180
5181
5182
5183
5184
5185
5186
5187
5188
5189
5190
5191
5192
5193
5194
5195
5196
5197
5198
5199
5200
5201
5202
5203
5204
5205
5206
5207
5208
5209
5210
5211
5212
5213
5214
5215
5216
5217
5218
5219
5220
5221
5222
5223
5224
5225
5226
5227
5228
5229
5230
5231
5232
5233
5234
5235
5236
5237
5238
5239
5240
5241
5242
5243
5244
5245
5246
5247
5248
5249
5250
5251
5252
5253
5254
5255
5256
5257
5258
5259
5260
5261
5262
5263
5264
5265
5266
5267
5268
5269
5270
5271
5272
5273
5274
5275
5276
5277
5278
5279
5280
5281
5282
5283
5284
5285
5286
5287
5288
5289
5290
5291
5292
5293
5294
5295
5296
5297
5298
5299
5300
5301
5302
5303
5304
5305
5306
5307
5308
5309
5310
5311
5312
5313
5314
5315
5316
5317
5318
5319
5320
5321
5322
5323
5324
5325
5326
5327
5328
5329
5330
5331
5332
5333
5334
5335
5336
5337
5338
5339
5340
5341
5342
5343
5344
5345
5346
5347
5348
5349
5350
5351
5352
5353
5354
5355
5356
5357
5358
5359
5360
5361
5362
5363
5364
5365
5366
5367
5368
5369
5370
5371
5372
5373
5374
5375
5376
5377
5378
5379
5380
5381
5382
5383
5384
5385
5386
5387
5388
5389
5390
5391
5392
5393
5394
5395
5396
5397
5398
5399
5400
5401
5402
5403
5404
5405
5406
5407
5408
5409
5410
5411
5412
5413
5414
5415
5416
5417
5418
5419
5420
5421
5422
5423
5424
5425
5426
5427
5428
5429
5430
5431
5432
5433
5434
5435
5436
5437
5438
5439
5440
5441
5442
5443
5444
5445
5446
5447
5448
5449
5450
5451
5452
5453
5454
5455
5456
5457
5458
5459
5460
5461
5462
5463
5464
5465
5466
5467
5468
5469
5470
5471
5472
5473
5474
5475
5476
5477
5478
5479
5480
5481
5482
5483
5484
5485
5486
5487
5488
5489
5490
5491
5492
5493
5494
5495
5496
5497
5498
5499
5500
5501
5502
5503
5504
5505
5506
5507
5508
5509
5510
5511
5512
5513
5514
5515
5516
5517
5518
5519
5520
5521
5522
5523
5524
5525
5526
5527
5528
5529
5530
5531
5532
5533
5534
5535
5536
5537
5538
5539
5540
5541
5542
5543
5544
5545
5546
5547
5548
5549
5550
5551
5552
5553
5554
5555
5556
5557
5558
5559
5560
5561
5562
5563
5564
5565
5566
5567
5568
5569
5570
5571
5572
5573
5574
5575
5576
5577
5578
5579
5580
5581
5582
5583
5584
5585
5586
5587
5588
5589
5590
5591
5592
5593
5594
5595
5596
5597
5598
5599
5600
5601
5602
5603
5604
5605
5606
5607
5608
5609
5610
5611
5612
5613
5614
5615
5616
5617
5618
5619
5620
5621
5622
5623
5624
5625
5626
5627
5628
5629
5630
5631
5632
5633
5634
5635
5636
5637
5638
5639
5640
5641
5642
5643
5644
5645
5646
5647
5648
5649
5650
5651
5652
5653
5654
5655
5656
5657
5658
5659
5660
5661
5662
5663
5664
5665
5666
5667
5668
5669
5670
5671
5672
5673
5674
5675
5676
5677
5678
5679
5680
5681
5682
5683
5684
5685
5686
5687
5688
5689
5690
5691
5692
5693
5694
5695
5696
5697
5698
5699
5700
5701
5702
5703
5704
5705
5706
5707
5708
5709
5710
5711
5712
5713
5714
5715
5716
5717
5718
5719
5720
5721
5722
5723
5724
5725
5726
5727
5728
5729
5730
5731
5732
5733
5734
5735
5736
5737
5738
5739
5740
5741
5742
5743
5744
5745
5746
5747
5748
5749
5750
5751
5752
5753
5754
5755
5756
5757
5758
5759
5760
5761
5762
5763
5764
5765
5766
5767
5768
5769
5770
5771
5772
5773
5774
5775
5776
5777
5778
5779
5780
5781
5782
5783
5784
5785
5786
5787
5788
5789
5790
5791
5792
5793
5794
5795
5796
5797
5798
5799
5800
5801
5802
5803
5804
5805
5806
5807
5808
5809
5810
5811
5812
5813
5814
5815
5816
5817
5818
5819
5820
5821
5822
5823
5824
5825
5826
5827
5828
5829
5830
5831
5832
5833
5834
5835
5836
5837
5838
5839
5840
5841
5842
5843
5844
5845
5846
5847
5848
5849
5850
5851
5852
5853
5854
5855
5856
5857
5858
5859
5860
5861
5862
5863
5864
5865
5866
5867
5868
5869
5870
5871
5872
5873
5874
5875
5876
5877
5878
5879
5880
5881
5882
5883
5884
5885
5886
5887
5888
5889
5890
5891
5892
5893
5894
5895
5896
5897
5898
5899
5900
5901
5902
5903
5904
5905
5906
5907
5908
5909
5910
5911
5912
5913
5914
5915
5916
5917
5918
5919
5920
5921
5922
5923
5924
5925
5926
5927
5928
5929
5930
5931
5932
5933
5934
5935
5936
5937
5938
5939
5940
5941
5942
5943
5944
5945
5946
5947
5948
5949
5950
5951
5952
5953
5954
5955
5956
5957
5958
5959
5960
5961
5962
5963
5964
5965
5966
5967
5968
5969
5970
5971
5972
5973
5974
5975
5976
5977
5978
5979
5980
5981
5982
5983
5984
5985
5986
5987
5988
5989
5990
5991
5992
5993
5994
5995
5996
5997
5998
5999
6000
6001
6002
6003
6004
6005
6006
6007
6008
6009
6010
6011
6012
6013
6014
6015
6016
6017
6018
6019
6020
6021
6022
6023
6024
6025
6026
6027
6028
6029
6030
6031
6032
6033
6034
6035
6036
6037
6038
6039
6040
6041
6042
6043
6044
6045
6046
6047
6048
6049
6050
6051
6052
6053
6054
6055
6056
6057
6058
6059
6060
6061
6062
6063
6064
6065
6066
6067
6068
6069
6070
6071
6072
6073
6074
6075
6076
6077
6078
6079
6080
6081
6082
6083
6084
6085
6086
6087
6088
6089
6090
6091
6092
6093
6094
6095
6096
6097
6098
6099
6100
6101
6102
6103
6104
6105
6106
6107
6108
6109
6110
6111
6112
6113
6114
6115
6116
6117
6118
6119
6120
6121
6122
6123
6124
6125
6126
6127
6128
6129
6130
6131
6132
6133
6134
6135
6136
6137
6138
6139
6140
6141
6142
6143
6144
6145
6146
6147
6148
6149
6150
6151
6152
6153
6154
6155
6156
6157
6158
6159
6160
6161
6162
6163
6164
6165
6166
/* lal_runtime.c — LAL Universal Runtime implementation
 *
 * Three API levels:
 *   Level 1: operators (bin_forward, norm, gelu, etc.)
 *   Level 2: transformer layer (trans_layer_forward/backward)
 *   Level 3: full model (model_load/forward/backward)
 *
 * Models only need Level 3 — just config + weight key patterns.
 */
/* === PonderNet 循环思考: 实现体唯一定义在本翻译单元 ===
 * 注意: 必须在 include lal_runtime.h (间接 include lal_ponder.h) 之前定义,
 * 否则 include guard 会把实现段挡掉 (单头库规则) */
#define LAL_PONDER_IMPLEMENTATION
#include "lal_runtime.h"
#include "lal_whitebox_probe.h"
#include "lal_concept_gen.h"
#include "lal_concept_attn.h"

/* v2: 对齐分配 */
#ifdef _WIN32
#include <malloc.h>
#else
#include <stdlib.h>
#endif

/* [加速] OpenBLAS 条件编译: Makefile 检测到 libopenblas 时定义 HAVE_OPENBLAS,
 * CORE 路径的 matmul 用 cblas_sgemm 一次性算所有 CORE 行 (AVX2/AVX-512 + 多线程).
 * 没装 OpenBLAS 时退回原 OpenMP + 8 倍展开循环. */
#ifdef HAVE_OPENBLAS
#include <cblas.h>
/* OpenBLAS 默认用自己的线程池, 和 OpenMP 的线程池冲突会 segfault.
 * 强制 OpenBLAS 单线程, 只用 OpenMP 并行 (避免线程竞争).
 * 用 static flag 在第一次 bin_forward 调用时初始化 (constructor 在 MSYS2 不稳). */
static int g_openblas_inited = 0;
static void openblas_init_single_thread(void) {
    if (!g_openblas_inited) {
        openblas_set_num_threads(1);
        g_openblas_inited = 1;
    }
}
#endif

/* This project is pure-CPU, no GPU. The old LAL_CUDA backend
 * (runtime/lal_cuda.cu / lal_cuda.h) has been removed. Any remaining
 * '#ifdef LAL_CUDA' blocks below are dead code and never compiled
 * (the Makefile / build.ps1 never define LAL_CUDA). */

/* === Windows/MinGW compatibility ===
 * MinGW lacks sys/mman.h and rand_r(). We provide shims so the same
 * lal_runtime.c compiles on both Linux and Windows/MinGW64. */
#ifdef _WIN32
  #define WIN32_LEAN_AND_MEAN
  #include <windows.h>
  #include <io.h>

  /* mmap shim: use CreateFileMapping on Windows */
  #ifndef MAP_FAILED
  #define MAP_FAILED ((void *)-1)
  #endif
  #ifndef PROT_READ
  #define PROT_READ  0x1
  #define MAP_PRIVATE 0x2
  #endif
  static inline void *mmap(void *addr, size_t length, int prot, int flags, int fd, long long offset) {
      (void)addr; (void)prot; (void)flags;
      HANDLE h = CreateFileMappingA((HANDLE)_get_osfhandle(fd), NULL, PAGE_READONLY, 0, 0, NULL);
      if (!h) return MAP_FAILED;
      void *p = MapViewOfFile(h, FILE_MAP_READ, 0, 0, length);
      CloseHandle(h);
      return p ? p : MAP_FAILED;
  }
  static inline int munmap(void *addr, size_t length) {
      (void)length;
      UnmapViewOfFile(addr);
      return 0;
  }

  /* rand_r shim: MinGW lacks it, use rand() with thread-local seed */
  static inline int rand_r(unsigned int *seedp) {
      *seedp = *seedp * 1103515245u + 12345u;
      return (int)((*seedp / 65536u) % 32768u);
  }

  /* fstat/stat shim: MinGW has them in sys/stat.h but with different struct */
  #include <sys/stat.h>
  #define fstat _fstat
  #define stat _stat
#else
  #include <sys/mman.h>
  #include <sys/stat.h>
  #include <unistd.h>
#endif

/* Forward declarations for full-vocab softmax (defined later in this file,
 * but model_forward/model_backward call them — declared here to avoid
 * implicit-declaration errors since the definitions sit after the callers). */
float cross_entropy_full(const float *hidden, const float *wte,
                         int target, int vocab_size, int n_embd,
                         float *logits_scratch);
void cross_entropy_full_grad(float *grad_hidden, const float *hidden, const float *wte,
                             int target, int vocab_size, int n_embd,
                             float *logits_scratch);

/* ========================================================================
 * Level 1 additions: RMSNorm, SiLU, dispatch functions, RoPE
 * ======================================================================== */

void rms_norm(float *out, const float *x, const float *w, int n) {
    float ms = 0;
    for (int i = 0; i < n; i++) ms += x[i] * x[i];
    ms = 1.0f / sqrtf(ms / n + 1e-5f);
    for (int i = 0; i < n; i++) out[i] = x[i] * ms * w[i];
}

void rms_norm_backward(float *grad_x, const float *grad_y, const float *x,
                       const float *w, int n, float *grad_w) {
    float ms = 0;
    for (int i = 0; i < n; i++) ms += x[i] * x[i];
    ms = 1.0f / sqrtf(ms / n + 1e-5f);
    for (int i = 0; i < n; i++) {
        grad_x[i] = grad_y[i] * w[i] * ms;
        if (grad_w) grad_w[i] += grad_y[i] * x[i] * ms;
    }
}

float silu(float x) { return x / (1.0f + expf(-x)); }
float silu_grad(float x) {
    float s = 1.0f / (1.0f + expf(-x));
    return s + x * s * (1.0f - s);
}

void norm_forward(float *out, const float *x, const float *w, const float *b,
                  NormType type, int n) {
    if (type == NORM_RMS) rms_norm(out, x, w, n);
    else layer_norm(out, x, w, b, n);
}

void norm_backward(float *grad_x, const float *grad_y, const float *x,
                   const float *w, const float *cached, NormType type, int n,
                   float *grad_w, float *grad_b) {
    if (type == NORM_RMS) rms_norm_backward(grad_x, grad_y, x, w, n, grad_w);
    else layer_norm_backward(grad_x, grad_y, x, w, cached[0], cached[1], n, grad_w, grad_b);
}

float act_forward(float x, ActType type) {
    switch (type) {
        case ACT_GELU:   return gelu(x);
        case ACT_SWIGLU: return silu(x);  /* gate * silu(up), caller handles gate */
        case ACT_SILU:   return silu(x);
        default:         return x;
    }
}

float act_grad(float x, ActType type) {
    switch (type) {
        case ACT_GELU:   return gelu_grad(x);
        case ACT_SWIGLU: return silu_grad(x);
        case ACT_SILU:   return silu_grad(x);
        default:         return 1.0f;
    }
}

void apply_rope(float *q, float *k, int seq_len, int n_head, int head_dim, int n_embd) {
    /* Simplified RoPE: rotate pairs by position-dependent angle */
    for (int h = 0; h < n_head; h++) {
        float *qh = q + h * head_dim;
        float *kh = k + h * head_dim;
        for (int d = 0; d < head_dim / 2; d++) {
            float angle = (float)seq_len / powf(10000.0f, (float)(2 * d) / head_dim);
            float c = cosf(angle), s = sinf(angle);
            float q0 = qh[d], q1 = qh[d + head_dim / 2];
            float k0 = kh[d], k1 = kh[d + head_dim / 2];
            qh[d] = q0 * c - q1 * s;
            qh[d + head_dim / 2] = q0 * s + q1 * c;
            kh[d] = k0 * c - k1 * s;
            kh[d + head_dim / 2] = k0 * s + k1 * c;
        }
    }
}

/* ========================================================================
 * Level 2: Transformer Layer (building block)
 * ======================================================================== */

void trans_layer_init(TransLayer *tl, Tensor *tensors, int n_tensors,
                      ModelConfig *cfg, int layer_idx,
                      const char *qkv_key, const char *q_key, const char *k_key,
                      const char *v_key, const char *o_key,
                      const char *gate_key, const char *up_key, const char *down_key,
                      const char *norm1_w_key, const char *norm1_b_key,
                      const char *norm2_w_key, const char *norm2_b_key) {
    tl->layer_idx = layer_idx;  /* v16: 概念注意力信使缓存索引 */
    int n = cfg->n_embd, m = cfg->mlp_dim;
    tl->_kv_k = NULL;
    tl->_kv_v = NULL;
    char full_key[256];

    if (cfg->qkv_merged) {
        /* GPT-2: merged QKV [n → 3n] */
        sprintf(full_key, qkv_key, layer_idx);
        float *W = tensor_get(tensors, n_tensors, full_key);
        /* Key format is like "h.%d.attn.c_attn.weight"; bias key replaces the
         * ".weight" suffix with ".bias".
         * (Removed a `sprintf(full_key, "%s.bias", full_key)` here: src and dst
         * overlapped, which is undefined behaviour, and it was dead anyway
         * because the suffix swap below rebuilds the key from scratch.) */
        char bias_key[256];
        strncpy(bias_key, full_key, sizeof(bias_key) - 1);
        bias_key[sizeof(bias_key) - 1] = '\0';
        char *dot = strstr(bias_key, ".weight");
        if (dot) { *dot = 0; strncat(bias_key, ".bias", sizeof(bias_key) - strlen(bias_key) - 1); }
        float *b = tensor_get(tensors, n_tensors, bias_key);
        bin_layer_init(&tl->attn_q, W, b, n, 3 * n);
    } else {
        /* LLaMA/Qwen: separate Q, K, V, O */
        sprintf(full_key, q_key, layer_idx);
        char bias_key[256];
        float *Wq = tensor_get(tensors, n_tensors, full_key);
        strncpy(bias_key, full_key, sizeof(bias_key));
        char *dot = strstr(bias_key, ".weight"); if (dot) { *dot=0; strcat(bias_key, ".bias"); }
        float *bq = tensor_get(tensors, n_tensors, bias_key);
        bin_layer_init(&tl->attn_q, Wq, bq, n, n);

        sprintf(full_key, k_key, layer_idx);
        float *Wk = tensor_get(tensors, n_tensors, full_key);
        strncpy(bias_key, full_key, sizeof(bias_key));
        dot = strstr(bias_key, ".weight"); if (dot) { *dot=0; strcat(bias_key, ".bias"); }
        float *bk = tensor_get(tensors, n_tensors, bias_key);
        bin_layer_init(&tl->attn_k, Wk, bk, n, n);

        sprintf(full_key, v_key, layer_idx);
        float *Wv = tensor_get(tensors, n_tensors, full_key);
        strncpy(bias_key, full_key, sizeof(bias_key));
        dot = strstr(bias_key, ".weight"); if (dot) { *dot=0; strcat(bias_key, ".bias"); }
        float *bv = tensor_get(tensors, n_tensors, bias_key);
        bin_layer_init(&tl->attn_v, Wv, bv, n, n);
    }

    /* Output projection */
    sprintf(full_key, o_key, layer_idx);
    float *Wo = tensor_get(tensors, n_tensors, full_key);
    char bias_key[256]; strncpy(bias_key, full_key, sizeof(bias_key));
    char *dot = strstr(bias_key, ".weight"); if (dot) { *dot=0; strcat(bias_key, ".bias"); }
    float *bo = tensor_get(tensors, n_tensors, bias_key);
    bin_layer_init(&tl->attn_o, Wo, bo, n, n);

    /* MLP */
    if (cfg->act_type == ACT_SWIGLU) {
        sprintf(full_key, gate_key, layer_idx);
        float *Wg = tensor_get(tensors, n_tensors, full_key);
        strncpy(bias_key, full_key, sizeof(bias_key));
        dot = strstr(bias_key, ".weight"); if (dot) { *dot=0; strcat(bias_key, ".bias"); }
        float *bg = tensor_get(tensors, n_tensors, bias_key);
        bin_layer_init(&tl->mlp_gate, Wg, bg, n, m);

        sprintf(full_key, up_key, layer_idx);
        float *Wu = tensor_get(tensors, n_tensors, full_key);
        strncpy(bias_key, full_key, sizeof(bias_key));
        dot = strstr(bias_key, ".weight"); if (dot) { *dot=0; strcat(bias_key, ".bias"); }
        float *bu = tensor_get(tensors, n_tensors, bias_key);
        bin_layer_init(&tl->mlp_up, Wu, bu, n, m);
    } else {
        /* GELU: single c_fc */
        sprintf(full_key, gate_key, layer_idx);
        float *Wg = tensor_get(tensors, n_tensors, full_key);
        strncpy(bias_key, full_key, sizeof(bias_key));
        dot = strstr(bias_key, ".weight"); if (dot) { *dot=0; strcat(bias_key, ".bias"); }
        float *bg = tensor_get(tensors, n_tensors, bias_key);
        bin_layer_init(&tl->mlp_gate, Wg, bg, n, m);
    }

    sprintf(full_key, down_key, layer_idx);
    float *Wd = tensor_get(tensors, n_tensors, full_key);
    strncpy(bias_key, full_key, sizeof(bias_key));
    dot = strstr(bias_key, ".weight"); if (dot) { *dot=0; strcat(bias_key, ".bias"); }
    float *bd = tensor_get(tensors, n_tensors, bias_key);
    bin_layer_init(&tl->mlp_down, Wd, bd, m, n);

    /* Norm weights */
    sprintf(full_key, norm1_w_key, layer_idx);
    tl->norm1_w = tensor_get(tensors, n_tensors, full_key);
    sprintf(full_key, norm1_b_key, layer_idx);
    tl->norm1_b = tensor_get(tensors, n_tensors, full_key);
    sprintf(full_key, norm2_w_key, layer_idx);
    tl->norm2_w = tensor_get(tensors, n_tensors, full_key);
    sprintf(full_key, norm2_b_key, layer_idx);
    tl->norm2_b = tensor_get(tensors, n_tensors, full_key);
}

void trans_layer_free(TransLayer *tl, ModelConfig *cfg) {
    bin_layer_free(&tl->attn_q);
    if (!cfg->qkv_merged) { bin_layer_free(&tl->attn_k); bin_layer_free(&tl->attn_v); }
    bin_layer_free(&tl->attn_o);
    bin_layer_free(&tl->mlp_gate);
    if (cfg->act_type == ACT_SWIGLU) bin_layer_free(&tl->mlp_up);
    bin_layer_free(&tl->mlp_down);
}

/* Dispatch: pure float 为唯一前向路径 (BNN 快速路径已移除) */
static inline void bin_fwd(float *y, const float *x, const BinLayer *bl) {
    if (g_use_pure_float)      bin_forward_pure_float(y, x, bl);
    else                       bin_forward(y, x, bl);
}


/* KV-cache-only forward: fill _kv_k/_kv_v for a CONTEXT position without
 * computing attention output, output projection, or MLP. Context positions
 * only need their K/V stored in the cache (they are constants during backward,
 * their output is discarded), so skipping the ~50% of FLOPs spent on attn_o +
 * MLP yields a large speedup in model_forward's context prefill loop. */

/* Pure-float forward: same as trans_layer_forward but uses bin_forward_pure_float
 * for every matmul (no sign binarization anywhere). Used by the teacher model
 * in distillation — w_float holds original GPT-2 weights, never updated.
 * Activations cache is shared with the student's structure (same shape) so we
 * can reuse m->acts. NOTE: this does NOT overwrite student activations if
 * called on a separate teacher Model (m->acts is per-model). */

/* Global flag: use STE backward (updates w_float + repacks wbits) */
/* ========================================================================
 * v: Data-parallel (per-thread) batch training support.
 * The batch loop (for b in batch_size) is parallelized across OpenMP
 * threads. Every thread-local transient buffer previously declared as a
 * function-scope `static` is moved into a per-thread ThrRes slot indexed
 * by g_cur_tid, so concurrent samples never clobber each other. Gradient
 * accumulators are also kept per-thread and reduced into the real
 * grad_accum after the parallel region.
 * ======================================================================== */
#include <omp.h>
#define LAL_MAX_THREADS 16
int g_cur_tid = 0;
#pragma omp threadprivate(g_cur_tid)

typedef struct {
    TransAct *acts;       /* n_layer activation buffers */
    TransAct *scratch;    /* context-prefill scratch (replaces get_scratch_acts) */
    /* === PonderNet 循环思考 per-thread 缓冲 (g_ponder_cfg.enable 时分配) === */
    PonderBuf ponder;          /* 停机分布/损失缓冲 */
    float    *ponder_mix;      /* [n_embd] 混合读出累积 */
    float    *ponder_state;    /* [LAL_PONDER_MAX_STEPS][n_embd] 各步状态缓存 */
    float    *ponder_kv0k;     /* [n_embd] 末块迭代0 K 快照 (cache 恢复用) */
    float    *ponder_kv0v;     /* [n_embd] 末块迭代0 V 快照 */
    TransAct *rec_acts;        /* [rec_iters] 末块迭代 act 快照 (训练反向用) */
    int       ponder_first_rec_step; /* 末块循环步的起始 step 索引 */
    int       ponder_ready;
    float *mlp, *hidden, *norm2, *proj, *attn, *qkv, *norm1, *pre; /* 16384 */
    float *gate, *up, *norm2_gate, *norm2_up;                     /* 16384 */
    float *n1k, *n1v;                                           /* 4096 */
    float *xc, *x, *gh;                                         /* 4096 */
    float *g_pre4;                                              /* 4096 (model_backward) */
    float *full_logits; int full_logits_vocab;
    int forward_done;   /* v21: forward 已写入 full_logits(softmax probs), backward 可复用, 省一次重算 */
    float *final_ln;
    float *x_before_final; float final_mean, final_std_inv;
    /* per-layer per-binlayer gradient pools (parallel accumulators) */
    float ***grad_w;     /* [n_layer][n_bl] -> float[in*out] */
    float ***grad_b;     /* [n_layer][n_bl] -> float[out] */
    float *grad_wte, *grad_wpe, *grad_lnfw, *grad_lnfb;
    /* per-layer norm gradients */
    float **grad_norm1_w, **grad_norm1_b, **grad_norm2_w, **grad_norm2_b;
    int n_layer, n_bl_max;
} ThrRes;
static ThrRes g_thr[LAL_MAX_THREADS];
static int g_thr_inited = 0;
static int g_nthr = 1;

void thr_res_alloc(Model *m);
void thr_res_free(void);

/* Shared sign lookup table: maps an 8-bit sign word (bit i set => +1) to the
 * 8 float signs. Used by both bin_forward (ternary/BWN) and bin_backward_ste
 * so forward and backward agree on the quantized weights they differentiate
 * through. Initialized once. */
static float g_sign_lut[256][8];
static int g_sign_lut_init = 0;
static void sign_lut_ensure(void) {
    if (g_sign_lut_init) return;
    for (int b = 0; b < 256; b++)
        for (int i = 0; i < 8; i++)
            g_sign_lut[b][i] = (b >> i) & 1 ? 1.0f : -1.0f;
    g_sign_lut_init = 1;
}
void thr_grad_reduce(Model *m);

int g_use_ste = 1;  /* 固化: STE 模式 (train=infer, 直接学二值逻辑) */
float g_attn_residual_scale = 1.0f;  /* 固化: 注意力残差缩放 = 1.0 (真实注意力) */
int g_use_logic_binarization = 1;  /* 固化: 逻辑引导层 (CORE/BINARY/PRUNE 语义结构) */

/* Semantic logic mask ratios (set by training script per curriculum phase).
 * When g_logic_core_ratio > 0, compute_norm_mask uses these instead of
 * the hardcoded 20%/70%/10% split. This enables progressive activation:
 * early stages are sparse (high PRUNE), later stages are dense. */
float g_logic_core_ratio = 0.0f;   /* 0 = use default 20% */
float g_logic_prune_ratio = 0.0f; /* 0 = use default 10% */

/* Adam optimizer globals (used inside bin_backward_ste when g_use_adam=1).
 * Defaults are standard Adam (Kingma & Ba 2015).
 * g_opt_step is incremented per model_backward call to drive bias correction. */
int   g_use_adam = 0;
int   g_opt_step = 0;
float g_adam_beta1 = 0.9f;
float g_adam_beta2 = 0.999f;
float g_adam_eps    = 1e-8f;

/* Ternary Weight Network (TWN) globals.
 * When g_use_ternary=1, BINARY rows use {-1,0,+1}: |W|<=Δ is zeroed (Δ stored
 * per-layer in BinLayer.ternary_delta). Triples capacity vs BWN at ~1.58 bits. */
/* 固化: 三值权重默认开启 — 当前 ckpt (model_dialogue.ste / ckpt_mp_*) 全部是
 * ternary 训练产物。默认关掉会导致按 BWN 解释权重 → 输出乱码。
 * 若确需浮点/BWN, 显式传 --no-ternary。 */
int   g_use_ternary = 1;
float g_ternary_delta_factor = 0.7f;  /* Δ = factor * mean(|W_row|), TWN default */

/* Checkpoint fusion strategy for --merge (see merge_models in ste_train.c). */
int   g_merge_mode = 0;        /* 0 = step-weighted avg, 1 = EMA by step */
float g_merge_beta_lo = 0.5f;  /* EMA fold-in coef for first (least-trained) model */
float g_merge_beta_hi = 0.9f;  /* EMA fold-in coef for last (most-trained) model */

/* Cosine LR with linear warmup.
 *   step < warmup          : lr = base * (step+1) / warmup    (linear ramp from 0)
 *   warmup <= step < total : lr = base * 0.5 * (1 + cos(pi * progress))  (cosine)
 *   step >= total          : lr = base * 0.01                  (floor — keep updating)
 * Warmup tames the early-step gradient explosion (STE on bit-space is noisy).
 * Cosine decay reduces late-step oscillation for convergence.
 * Pass warmup=0 to disable warmup, total=0 to disable decay. */
float lr_schedule(int step, int warmup_steps, int total_steps, float base_lr) {
    if (warmup_steps > 0 && step < warmup_steps) {
        return base_lr * (float)(step + 1) / (float)warmup_steps;
    }
    if (total_steps <= warmup_steps) return base_lr;  /* degenerate: no decay */
    if (step >= total_steps) return base_lr * 0.01f;   /* floor */
    float progress = (float)(step - warmup_steps) / (float)(total_steps - warmup_steps);
    return base_lr * 0.5f * (1.0f + cosf((float)M_PI * progress));
}

/* Pure float forward: y[j] = sum_i w_float[j*in+i] * x[i] + bias[j].
 * Skips sign binarization entirely. Used for the teacher model in
 * distillation — the teacher's w_float holds the original GPT-2 weights
 * and is never updated, so this is a faithful full-precision matmul.
 * Logic-guided layers: CORE uses w_core (already float), BINARY uses w_float,
 * PRUNE outputs 0 (skipped). */
void bin_forward_pure_float(float *y, const float *x, const BinLayer *bl) {
    int in = bl->in_dim, out = bl->out_dim, nw = bl->n_words;
    if (bl->logic_mask) {
        /* v16-perf: 前缀索引 + OpenMP 并行
         * v2-perf: 小矩阵 (out < 64) 串行, 避免 fork/join 开销
         *           大矩阵用 guided schedule 动态负载均衡 */
        int *cidx = (int *)alloca(out * sizeof(int));
        { int c = 0; for (int j = 0; j < out; j++) { cidx[j] = c; if (bl->logic_mask[j] == 0) c++; } }
        if (out >= 64) {
        #pragma omp parallel for schedule(guided, 8)
        for (int j = 0; j < out; j++) {
            uint8_t m = bl->logic_mask[j];
            if (m == 0) {  /* CORE: float dot with w_core[cidx[j]] (never quantized) */
                const float *wc = &bl->w_core[cidx[j] * in];
                float s = bl->bias[j];
                for (int i = 0; i < in; i++) s += wc[i] * x[i];
                y[j] = s;
            } else if (m == 1) {  /* BINARY */
                const float *wf = &bl->w_float[j * in];
                const uint64_t *zb = (g_use_ternary && bl->zbits)
                                      ? &bl->zbits[j * nw] : NULL;
                if (g_use_ternary && bl->zbits) {
                    /* Ternary QAT forward — MUST match bin_forward() case 1 exactly:
                     * y = (Σ sign(w_float[i]) * x[i] over NON-ZEROED positions) *
                     *     alpha[j] * K * g_binary_scale + bias[j]
                     * The old pure-float path used w_float directly (un-sign, no
                     * alpha, no K) which made BINARY outputs ~1/alpha times too
                     * large → generation gibberish on ternary checkpoints. */
                    float abs_sum = 0.0f;
                    for (int i = 0; i < in; i++) abs_sum += fabsf(x[i]);
                    float K = abs_sum / in;
                    float s = 0.0f;
                    for (int i = 0; i < in; i++) {
                        if (zb && (((zb[i >> 6] >> (i & 63)) & 1))) continue; /* ternary-0 */
                        float w_sign = (wf[i] > 0.0f) ? 1.0f : (wf[i] < 0.0f ? -1.0f : 0.0f);
                        s += w_sign * x[i];
                    }
                    y[j] = s * bl->alpha[j] * K * g_binary_scale + bl->bias[j];
                } else {
                    /* Plain BWN / pure-float BINARY path (non-ternary teacher). */
                    float s = bl->bias[j];
                    for (int i = 0; i < in; i++) s += wf[i] * x[i];
                    y[j] = bl->bias[j] + (s - bl->bias[j]) * g_binary_scale;
                }
            } else {
                y[j] = 0.0f;  /* PRUNE */
            }
        }
        } else {
            /* 小矩阵串行 */
            for (int j = 0; j < out; j++) {
                uint8_t m = bl->logic_mask[j];
                if (m == 0) {
                    const float *wc = &bl->w_core[cidx[j] * in];
                    float s = bl->bias[j];
                    for (int i = 0; i < in; i++) s += wc[i] * x[i];
                    y[j] = s;
                } else if (m == 1) {
                    const float *wf = &bl->w_float[j * in];
                    const uint64_t *zb = (g_use_ternary && bl->zbits)
                                          ? &bl->zbits[j * nw] : NULL;
                    if (g_use_ternary && bl->zbits) {
                        float abs_sum = 0.0f;
                        for (int i = 0; i < in; i++) abs_sum += fabsf(x[i]);
                        float K = abs_sum / in;
                        float s = 0.0f;
                        for (int i = 0; i < in; i++) {
                            if (zb && (((zb[i >> 6] >> (i & 63)) & 1))) continue;
                            float w_sign = (wf[i] > 0.0f) ? 1.0f : (wf[i] < 0.0f ? -1.0f : 0.0f);
                            s += w_sign * x[i];
                        }
                        y[j] = s * bl->alpha[j] * K * g_binary_scale + bl->bias[j];
                    } else {
                        float s = bl->bias[j];
                        for (int i = 0; i < in; i++) s += wf[i] * x[i];
                        y[j] = bl->bias[j] + (s - bl->bias[j]) * g_binary_scale;
                    }
                } else {
                    y[j] = 0.0f;
                }
            }
        }
    } else {
        /* 无 logic_mask: 全 float matmul, 大矩阵并行 */
        if (out >= 64) {
        #pragma omp parallel for schedule(guided, 8)
        for (int j = 0; j < out; j++) {
            const float *wf = &bl->w_float[j * in];
            float s = bl->bias[j];
            for (int i = 0; i < in; i++) s += wf[i] * x[i];
            y[j] = s;
        }
        } else {
            for (int j = 0; j < out; j++) {
                const float *wf = &bl->w_float[j * in];
                float s = bl->bias[j];
                for (int i = 0; i < in; i++) s += wf[i] * x[i];
                y[j] = s;
            }
        }
    }
}

/* Auto-generate per-output logic mask based on weight norms.
 * W is [in, out] (GPT-2 Conv1D format). We compute per-output column norms.
 * top 20% → CORE (0), bottom 10% → PRUNE (2), middle 70% → BINARY (1).
 * mask: [out_dim] bytes, 0=CORE, 1=BINARY, 2=PRUNE. */
static void compute_norm_mask(const float *W, int in_dim, int out_dim, uint8_t *mask) {
    /* Compute per-output norms (W is [in, out] row-major) */
    float *norms = malloc(out_dim * sizeof(float));
    for (int j = 0; j < out_dim; j++) {
        float s = 0;
        for (int i = 0; i < in_dim; i++) {
            float w = W[i * out_dim + j];
            s += w * w;
        }
        norms[j] = sqrtf(s);
    }
    /* Find thresholds via partial sort (simple: sort a copy) */
    float *sorted = malloc(out_dim * sizeof(float));
    memcpy(sorted, norms, out_dim * sizeof(float));
    /* Simple insertion sort (out_dim ≤ 3072, OK) */
    for (int i = 1; i < out_dim; i++) {
        float v = sorted[i]; int k = i - 1;
        while (k >= 0 && sorted[k] > v) { sorted[k+1] = sorted[k]; k--; }
        sorted[k+1] = v;
    }

    /* Use semantic ratios when set, otherwise default 20%/10% */
    float core_r = (g_logic_core_ratio > 0.0f) ? g_logic_core_ratio : 0.20f;
    float prune_r = (g_logic_prune_ratio > 0.0f) ? g_logic_prune_ratio : 0.10f;

    int core_count = (int)(out_dim * core_r);
    int prune_count = (int)(out_dim * prune_r);
    if (core_count < 1) core_count = 1;
    if (core_count + prune_count > out_dim) prune_count = out_dim - core_count;

    /* sorted[0] = smallest norm, sorted[out_dim-1] = largest */
    float core_threshold = sorted[out_dim - core_count];
    float prune_threshold = (prune_count > 0) ? sorted[prune_count - 1] : -1.0f;

    int n_core = 0, n_binary = 0, n_prune = 0;
    for (int j = 0; j < out_dim; j++) {
        if (norms[j] >= core_threshold && n_core < core_count) {
            mask[j] = 0;       /* CORE */
            n_core++;
        } else if (norms[j] <= prune_threshold && n_prune < prune_count) {
            mask[j] = 2;      /* PRUNE */
            n_prune++;
        } else {
            mask[j] = 1;      /* BINARY */
            n_binary++;
        }
    }

    static int first_call = 1;
    if (first_call) {
        printf("    [logic] CORE=%d (%.0f%%), BINARY=%d (%.0f%%), PRUNE=%d (%.0f%%)\n",
               n_core, 100.0f * n_core / out_dim,
               n_binary, 100.0f * n_binary / out_dim,
               n_prune, 100.0f * n_prune / out_dim);
        first_call = 0;
    }

    free(norms); free(sorted);
}

float g_core_lr_multiplier = 3.0f;  /* CORE neurons learn 3x faster than BINARY */
int   g_use_lal_adam = 1;        /* 1=group-wise Adam (LAL-aware), 0=standard per-param Adam */
float g_prune_decay = 0.01f;     /* PRUNE weight decay per step (pulls toward 0) */
float g_prune_freeze_thresh = 0.001f; /* PRUNE neurons below this are frozen */

/* Global flag: use real causal multi-head self-attention with KV cache.
 * Off by default — backward compat with V-copy. When on, trans_layer_forward
 * calls attention_forward() instead of memcpy(act->attn_out, act->v, n). */
int g_use_real_attention = 0;
int g_skip_wv = 0;  /* v13l: skip W_v projection, use norm1_out as attn_out */
/* 滑动窗口注意力 (长上下文训练固化): 默认 0 = 全因果(兼容旧行为).
 * >0 时每个 token 只看前 window 个 token + 前 sink 个全局锚点 token.
 * 这是支撑 8192-token 长文训练的唯一可行路径(全因果 O(n^2) 会 OOM). */
/* === 固化: 滑动窗口注意力默认开启 ===
 * 长上下文路径 (max_pos=8192) 必须靠滑动窗口把 O(n^2) 降到 O(n*w),
 * 否则 8192 全注意力既慢又爆内存。默认值必须与 train_4core.ps1 一致,
 * 且训练/推理两侧窗口必须相同, 否则生成结果乱码 (历史 Bug: 推理 9996 vs 训练 1024)。
 * 若确需全注意力, 显式传 --attn-window 0。 */
int g_attn_window = 1024;
int g_attn_sink = 64;
int g_use_pure_float = 0;
/* v16: BINARY 共模抑制系数 (白盒: BINARY 能量~18x CORE 但区分度≈0, 0.25=能量均衡) */
float g_binary_scale = 0.25f;
/* v16: wte/wpe 更新速率系数 (对齐泵降速) */
float g_wte_lr_scale = 0.5f;  /* v16 原 0.1: wte 对齐泵降速过度 → embedding 几乎不更新 →
                                    所有 token 向量趋同 (VDIVERSE n_collapsed=42/42)。
                                    提到 0.5 让 embedding 有效分化, 修复生成乱码塌缩。 */
/* v16: logit 缩放 (残差范数小→softmax近均匀→CE梯度稀释, 放大锐化分布) */
float g_logit_scale = 1.0f;
int g_accumulate_gradients = 0;  /* 1 = accumulate grads, don't update weights */

TransAct *trans_act_alloc(ModelConfig *cfg) {
    int n = cfg->n_embd, m = cfg->mlp_dim;
    TransAct *acts = malloc(cfg->n_layer * sizeof(TransAct));
    for (int l = 0; l < cfg->n_layer; l++) {
        acts[l].x_pre_norm1 = malloc(n * sizeof(float));
        acts[l].norm1_out = malloc(n * sizeof(float));
        acts[l].q = malloc(3 * n * sizeof(float));
        /* k/v alias into the contiguous Q|K|V buffer so both merged (GPT-2)
         * and separate (LLaMA/Qwen) paths share one [3n] layout. Previously
         * k/v were left NULL for the separate path → segfault. */
        acts[l].k = acts[l].q + n;
        acts[l].v = acts[l].q + 2 * n;
        acts[l].attn_out = malloc(n * sizeof(float));
        acts[l].proj_out = malloc(n * sizeof(float));
        acts[l].x_pre_norm2 = malloc(n * sizeof(float));
        acts[l].norm2_out = malloc(n * sizeof(float));
        acts[l].mlp_hidden = malloc(m * sizeof(float));
        acts[l].mlp_out = malloc(n * sizeof(float));
        /* BUG #45 FIX: allocate SwiGLU gate/up cache (NULL for GELU mode) */
        if (cfg->act_type == ACT_SWIGLU) {
            acts[l].swiglu_gate = malloc(m * sizeof(float));
            acts[l].swiglu_up = malloc(m * sizeof(float));
        } else {
            acts[l].swiglu_gate = NULL;
            acts[l].swiglu_up = NULL;
        }
    }
    return acts;
}

void trans_act_free(TransAct *acts, int n_layer) {
    for (int l = 0; l < n_layer; l++) {
        free(acts[l].x_pre_norm1); free(acts[l].norm1_out);
        free(acts[l].q); free(acts[l].attn_out); free(acts[l].proj_out);
        free(acts[l].x_pre_norm2); free(acts[l].norm2_out);
        free(acts[l].mlp_hidden); free(acts[l].mlp_out);
        free(acts[l].swiglu_gate); free(acts[l].swiglu_up);
    }
    free(acts);
}

/* ========================================================================
 * Level 3: Full Model
 * ======================================================================== */

/* ----- Causal Multi-Head Self-Attention (KV cache) -----
 * Replaces the degenerate V-copy in trans_layer_forward.
 * Mirrors tools/server/gpt2_server.c:real_attention (scalar version).
 *
 * Layout:
 *   qkv:        [3 * n_embd]  — Q | K | V concatenated, single token
 *   k_cache_layer / v_cache_layer: [n_ctx * n_embd] — filled position-by-position
 *   attn_out:   [n_embd]      — output, weighted sum of V across heads
 *
 * Causal: position seq_pos attends only to positions 0..seq_pos (inclusive).
 * Multi-head: n_head heads, head_dim = n_embd / n_head (must divide evenly).
 */

/* ----- Attention backward (dQ/dK/dV) -----
 * Computes gradients for the current token's Q, K, V. Cached K/V at positions
 * 0..seq_pos-1 are treated as constants (they are context, not learned here —
 * only the current token's QKV projection receives gradient, matching the
 * single-position activation cache used by model_forward/backward).
 *
 * Per head h (head_dim d, scale = 1/sqrt(head_dim)):
 *   forward: scores[j]=Q·K_j*scale; w=softmax(scores); out=sum_j w[j]*V_j
 *   backward:
 *     g_w[j]      = <g_out, V_j>                       (grad w.r.t. weight j)
 *     g_scores[j] = w[j] * (g_w[j] - <g_w, w>)         (softmax bwd)
 *     g_Q[d]     += sum_j g_scores[j] * K_j[d] * scale
 *     g_K_cur[d] += g_scores[seq_pos] * Q[d] * scale   (current K only)
 *     g_V_cur[d] += w[seq_pos] * g_out[d]              (current V only)
 */

void model_kv_cache_alloc(Model *m) {
    if (m->k_cache) return;  /* idempotent */
    int n_layer = m->cfg.n_layer;
    size_t per_layer = (size_t)m->cfg.n_ctx * m->cfg.n_embd * sizeof(float);
    m->k_cache = calloc(n_layer, sizeof(float *));
    m->v_cache = calloc(n_layer, sizeof(float *));
    for (int l = 0; l < n_layer; l++) {
        m->k_cache[l] = calloc(1, per_layer);
        m->v_cache[l] = calloc(1, per_layer);
        /* Wire into TransLayer so trans_layer_forward can find them */
        if (m->layers) {
            m->layers[l]._kv_k = m->k_cache[l];
            m->layers[l]._kv_v = m->v_cache[l];
        }
    }
}

void model_kv_cache_free(Model *m) {
    if (!m->k_cache) return;
    for (int l = 0; l < m->cfg.n_layer; l++) {
        free(m->k_cache[l]);
        free(m->v_cache[l]);
    }
    free(m->k_cache);
    free(m->v_cache);
    m->k_cache = NULL;
    m->v_cache = NULL;
}

/* FIX: get-or-realloc a thread-local scratch TransAct buffer that tracks
 * the model's current config. Previously this was a static pointer
 * allocated once for the first model and never updated — on phase switch
 * (n_embd change) the scratch was too small, causing heap-buffer-overflow
 * in trans_layer_forward's memcpy. */
static TransAct *get_scratch_acts(Model *m) {
    static TransAct *scratch = NULL;
    static int scratch_n_embd = 0;
    static int scratch_n_layer = 0;
    if (!scratch || scratch_n_embd != m->cfg.n_embd || scratch_n_layer != m->cfg.n_layer) {
        if (scratch) {
            trans_act_free(scratch, scratch_n_layer);  /* frees inner arrays + scratch itself */
            scratch = NULL;  /* trans_act_free already freed scratch; avoid double-free */
        }
        scratch = trans_act_alloc(&m->cfg);
        scratch_n_embd = m->cfg.n_embd;
        scratch_n_layer = m->cfg.n_layer;
    }
    return scratch;
}

void model_load(Model *m, const char *weight_path, ModelConfig cfg,
                const char *layer_prefix, int qkv_merged) {
    m->cfg = cfg;
    m->cfg.qkv_merged = qkv_merged;
    /* Single source of truth for the attention window: the GLOBAL
     * g_attn_window / g_attn_sink flags (set by --attn-window/--attn-sink,
     * default 1024/64). Sync them into cfg so any code reading
     * ModelConfig.sliding_window / n_sinks (e.g. stateful inference) matches
     * training exactly. ModelConfig.sliding_window defaults to 9996 and is NOT
     * a valid inference window, so we overwrite it here. */
    m->cfg.sliding_window = g_attn_window;
    m->cfg.n_sinks = g_attn_sink;
    m->tensors = tensor_load_all(weight_path, &m->n_tensors);
    if (!m->tensors) { fprintf(stderr, "failed to load %s\n", weight_path); exit(1); }
    printf("[*] loaded %d tensors\n", m->n_tensors);

    m->wte = tensor_get(m->tensors, m->n_tensors, "wte.weight");
    m->wpe = (cfg.attn_type == ATTN_LEARNED)
        ? tensor_get(m->tensors, m->n_tensors, "wpe.weight") : NULL;
    m->ln_f_w = tensor_get(m->tensors, m->n_tensors, "ln_f.weight");
    m->ln_f_b = tensor_get(m->tensors, m->n_tensors, "ln_f.bias");

    printf("[*] binarizing %d layers%s...\n", cfg.n_layer,
           g_use_logic_binarization ? " (logic-guided)" : "");
    m->layers = calloc(cfg.n_layer, sizeof(TransLayer));  /* FIX: calloc (not malloc) zero-inits BinLayer fields like grad_accum so model_batch_alloc's NULL check works */
    m->acts = trans_act_alloc(&cfg);

    /* Build keys and binarize each layer */
    char key[256], bk[256];
    for (int l = 0; l < cfg.n_layer; l++) {
        TransLayer *tl = &m->layers[l];
        int n = cfg.n_embd, mm = cfg.mlp_dim;

        /* Helper: bin_layer_init or bin_layer_init_logic depending on flag */
        #define BIN_INIT(bl, W, b, in, out) do { \
            if (g_use_logic_binarization) { \
                uint8_t *mask = malloc(out); \
                compute_norm_mask(W, in, out, mask); \
                bin_layer_init_logic(bl, W, b, in, out, mask); \
                free(mask); \
            } else { \
                bin_layer_init(bl, W, b, in, out); \
            } \
        } while(0)
        /* BUG #54 FIX: Attention 层不做 logic binarization!
         * 根因: QKV merged 模式下, Q/K 的梯度淹没 V 的梯度, 导致 W_v 退化为 rank-1.
         * (SVD: 最大奇异值 4.548 vs 第二大 1.116, effective rank 276/530)
         * 修复: attention 的 Q/K/V/O 用普通 bin_layer_init (无 CORE/BINARY/PRUNE),
         * 只有 MLP 层用 logic binarization. 这样 W_v 能正常学习. */
        #define BIN_INIT_NO_LOGIC(bl, W, b, in, out) do { \
            bin_layer_init(bl, W, b, in, out); \
        } while(0)

        if (qkv_merged) {
            sprintf(key, "h.%d.attn.c_attn.weight", l);
            char bk[256]; strncpy(bk, key, sizeof(bk));
            char *dot = strstr(bk, ".weight"); if(dot){*dot=0;strcat(bk,".bias");}
            BIN_INIT(&tl->attn_q, tensor_get(m->tensors, m->n_tensors, key),
                     tensor_get(m->tensors, m->n_tensors, bk), n, 3*n);
        } else {
            sprintf(key, "model.layers.%d.self_attn.q_proj.weight", l);
            char bk[256]; strncpy(bk, key, sizeof(bk));
            char *dot = strstr(bk, ".weight"); if(dot){*dot=0;strcat(bk,".bias");}
            BIN_INIT(&tl->attn_q, tensor_get(m->tensors, m->n_tensors, key),
                     tensor_get(m->tensors, m->n_tensors, bk), n, n);
            sprintf(key, "model.layers.%d.self_attn.k_proj.weight", l);
            strncpy(bk, key, sizeof(bk)); dot=strstr(bk,".weight"); if(dot){*dot=0;strcat(bk,".bias");}
            BIN_INIT(&tl->attn_k, tensor_get(m->tensors, m->n_tensors, key),
                     tensor_get(m->tensors, m->n_tensors, bk), n, n);
            sprintf(key, "model.layers.%d.self_attn.v_proj.weight", l);
            strncpy(bk, key, sizeof(bk)); dot=strstr(bk,".weight"); if(dot){*dot=0;strcat(bk,".bias");}
            BIN_INIT(&tl->attn_v, tensor_get(m->tensors, m->n_tensors, key),
                     tensor_get(m->tensors, m->n_tensors, bk), n, n);
        }

        sprintf(key, qkv_merged ? "h.%d.attn.c_proj.weight" : "model.layers.%d.self_attn.o_proj.weight", l);
        char bk[256]; strncpy(bk, key, sizeof(bk));
        char *dot = strstr(bk, ".weight"); if(dot){*dot=0;strcat(bk,".bias");}
        BIN_INIT(&tl->attn_o, tensor_get(m->tensors, m->n_tensors, key),
                 tensor_get(m->tensors, m->n_tensors, bk), n, n);

        if (cfg.act_type == ACT_SWIGLU) {
            sprintf(key, "model.layers.%d.mlp.gate_proj.weight", l);
            strncpy(bk, key, sizeof(bk)); dot=strstr(bk,".weight"); if(dot){*dot=0;strcat(bk,".bias");}
            BIN_INIT(&tl->mlp_gate, tensor_get(m->tensors, m->n_tensors, key),
                     tensor_get(m->tensors, m->n_tensors, bk), n, mm);
            sprintf(key, "model.layers.%d.mlp.up_proj.weight", l);
            strncpy(bk, key, sizeof(bk)); dot=strstr(bk,".weight"); if(dot){*dot=0;strcat(bk,".bias");}
            BIN_INIT(&tl->mlp_up, tensor_get(m->tensors, m->n_tensors, key),
                     tensor_get(m->tensors, m->n_tensors, bk), n, mm);
        } else {
            sprintf(key, "h.%d.mlp.c_fc.weight", l);
            strncpy(bk, key, sizeof(bk)); dot=strstr(bk,".weight"); if(dot){*dot=0;strcat(bk,".bias");}
            BIN_INIT(&tl->mlp_gate, tensor_get(m->tensors, m->n_tensors, key),
                     tensor_get(m->tensors, m->n_tensors, bk), n, mm);
        }

        sprintf(key, qkv_merged ? "h.%d.mlp.c_proj.weight" : "model.layers.%d.mlp.down_proj.weight", l);
        strncpy(bk, key, sizeof(bk)); dot=strstr(bk,".weight"); if(dot){*dot=0;strcat(bk,".bias");}
        BIN_INIT(&tl->mlp_down, tensor_get(m->tensors, m->n_tensors, key),
                 tensor_get(m->tensors, m->n_tensors, bk), mm, n);
        #undef BIN_INIT

        /* Norm weights */
        if (qkv_merged) {
            sprintf(key, "h.%d.ln_1.weight", l); tl->norm1_w = tensor_get(m->tensors, m->n_tensors, key);
            sprintf(key, "h.%d.ln_1.bias", l); tl->norm1_b = tensor_get(m->tensors, m->n_tensors, key);
            sprintf(key, "h.%d.ln_2.weight", l); tl->norm2_w = tensor_get(m->tensors, m->n_tensors, key);
            sprintf(key, "h.%d.ln_2.bias", l); tl->norm2_b = tensor_get(m->tensors, m->n_tensors, key);
        } else {
            sprintf(key, "model.layers.%d.input_layernorm.weight", l); tl->norm1_w = tensor_get(m->tensors, m->n_tensors, key);
            tl->norm1_b = NULL;
            sprintf(key, "model.layers.%d.post_attention_layernorm.weight", l); tl->norm2_w = tensor_get(m->tensors, m->n_tensors, key);
            tl->norm2_b = NULL;
        }
    }
    printf("[*] done\n");

    /* Free large weight matrix tensor data after binarization to save ~3.6GB.
     * Small tensors (wte, wpe, ln_f, per-layer norms) are kept for forward pass.
     * bin_layer_init copies all needed data into w_float/wbits/alpha/bias. */
    {
        int freed = 0;
        size_t freed_bytes = 0;
        for (int l = 0; l < cfg.n_layer; l++) {
            char wk[256];
            const char *mats[] = {
                qkv_merged ? "h.%d.attn.c_attn.weight" : "model.layers.%d.self_attn.q_proj.weight",
                qkv_merged ? "h.%d.attn.c_proj.weight" : "model.layers.%d.self_attn.o_proj.weight",
                qkv_merged ? "h.%d.mlp.c_fc.weight" : "model.layers.%d.mlp.gate_proj.weight",
                qkv_merged ? "h.%d.mlp.c_proj.weight" : "model.layers.%d.mlp.down_proj.weight",
            };
            for (int mi = 0; mi < 4; mi++) {
                sprintf(wk, mats[mi], l);
                for (int i = 0; i < m->n_tensors; i++) {
                    if (m->tensors[i].data && strcmp(m->tensors[i].key, wk) == 0) {
                        int n2 = 1;
                        for (int d = 0; d < m->tensors[i].ndim; d++) n2 *= m->tensors[i].shape[d];
                        freed_bytes += (size_t)n2 * sizeof(float);
                        free(m->tensors[i].data);
                        m->tensors[i].data = NULL;
                        freed++;
                        break;
                    }
                }
            }
        }
        printf("[*] freed %d weight tensors (%.0f MB) after binarization\n",
               freed, freed_bytes / 1e6);
    }

    m->final_ln = malloc(cfg.n_embd * sizeof(float));
    m->x_before_final = malloc(cfg.n_embd * sizeof(float));
    m->k_cache = NULL;
    m->v_cache = NULL;
    /* Auto-allocate KV cache if real attention is requested at load time.
     * Callers can also call model_kv_cache_alloc() later to enable it. */
    if (g_use_real_attention) model_kv_cache_alloc(m);
    thr_res_alloc(m);  /* per-thread training buffers (also used by diagnostics) */

    /* 唯一路线底座:概念感知注意力默认随模型加载即启用(CORE/BINARY/PRUNE + 浮点 + 概念注意力)。
     * 修复根因:推理侧此前 g_messenger_caches==NULL, 永远走标准 attention (探针 fwd=0)。
     * LAL_CONCEPT_ATTN=0 作为调试逃生口强制关闭;其余环境变量(LAL_CA_SEG_LEN/LAL_CA_MSG)
     * 由调用方在 model_set_concept_attn 时覆盖。训练侧 ste_train.c 会二次调用并覆盖分段长度。 */
    if (g_use_real_attention) {
        ConceptAttnConfig cca = concept_attn_default_config();
        if (getenv("LAL_CONCEPT_ATTN") && atoi(getenv("LAL_CONCEPT_ATTN")) == 0)
            cca.enable = 0;  /* 显式 0 才关,否则默认开 */
        model_set_concept_attn(m, &cca);
    }
}



/* Compute full vocab logits at target position using pure float forward.
 * Replaces bin_forward with bin_forward_pure_float for one pass (no
 * binarization anywhere). The result is the teacher signal for distillation.
 * Caller must allocate logits_out[vocab_size]. */
void model_forward_float_logits(Model *m, const int *tokens, int n_tokens,
                                float *logits_out) {
    /* 端到端统一: 诊断也用 sliding window forward (与训练/推理同路径).
     * 旧版用 trans_layer_forward_pure_float (独立路径) 已废弃.
     * 返回 full vocab logits 供诊断打印. */
    model_forward_sliding(m, tokens, n_tokens);
    int n = m->cfg.n_embd, vocab = m->cfg.vocab_size;
    int tid = g_cur_tid;
    float *ln = g_thr[tid].final_ln;
    for (int j = 0; j < vocab; j++) {
        const float *w = &m->wte[(size_t)j * n];
        float s = 0;
        for (int i = 0; i + 7 < n; i += 8)
            s += ln[i+0]*w[i+0] + ln[i+1]*w[i+1] + ln[i+2]*w[i+2] + ln[i+3]*w[i+3]
               + ln[i+4]*w[i+4] + ln[i+5]*w[i+5] + ln[i+6]*w[i+6] + ln[i+7]*w[i+7];
        for (int i = (n/8)*8; i < n; i++) s += ln[i] * w[i];
        logits_out[j] = s;
    }
}

/* Backward with distillation: hard CE (target) + soft KL(teacher || student).
 * The KL gradient w.r.t. student logits[j] is:
 *   d_KL/d_s[j] = T * (softmax(s/T)[j] - softmax(t/T)[j])
 * Then w.r.t. final_ln[i]:
 *   d_KL/d_final_ln[i] = sum_j (T * (ps[j]-pt[j])) * wte[j*n+i]
 *
 * Combined grad on final_ln:
 *   gh[i] = alpha * CE_grad[i] + (1-alpha) * T^2 * KL_grad[i]
 * (T^2 because KL of T-scaled soft targets is conventionally multiplied by T^2
 *  to keep gradient magnitude roughly constant across T.)
 *
 * Teacher logits must be full vocab (computed by model_forward_float_logits).
 * Memory cost: ~3*vocab*sizeof(float) = 600KB scratch (heap-allocated here). */

void model_free(Model *m) {
    for (int l = 0; l < m->cfg.n_layer; l++)
        trans_layer_free(&m->layers[l], &m->cfg);
    free(m->layers);
    trans_act_free(m->acts, m->cfg.n_layer);
    free(m->final_ln);
    free(m->x_before_final);
    model_kv_cache_free(m);
    ponder_model_free(m);
    thr_res_free();
    tensor_free_all(m->tensors, m->n_tensors);
}

/* ========================================================================
 * PonderNet 循环思考 — Model 级实现
 * ======================================================================== */
int ponder_step_count(const Model *m) {
    /* 总步数 (含末步 remainder):
     *   layer_halt: 前 (n_layer-1) 个层步 + 末块步(1 或 rec_iters)
     *   !layer_halt: 仅末块步 (rec_iters ≥ 2, 否则 enable=0) */
    int block_steps = (g_ponder_cfg.rec_iters >= 2) ? g_ponder_cfg.rec_iters : 1;
    return (g_ponder_cfg.layer_halt ? m->cfg.n_layer - 1 : 0) + block_steps;
}

void ponder_model_alloc(Model *m) {
    if (!g_ponder_cfg.enable || m->ponder_ready) return;
    int n = m->cfg.n_embd;
    m->ph = calloc(m->cfg.n_layer, sizeof(PonderLayer));
    for (int l = 0; l < m->cfg.n_layer; l++) {
        ponder_layer_alloc(&m->ph[l], n);
        ponder_layer_init(&m->ph[l]);
    }
    ponder_layer_alloc(&m->ph_rec, n);
    ponder_layer_init(&m->ph_rec);
    /* 推理侧末块迭代 act 快照 (训练侧用 g_thr[tid].rec_acts) */
    m->rec_acts = trans_act_alloc(&m->cfg);
    m->n_rec_acts = g_ponder_cfg.rec_iters;
    m->ponder_ready = 1;
    printf("[PONDER] model alloc: %d layer units + 1 rec unit, n_embd=%d, steps=%d\n",
           m->cfg.n_layer, n, ponder_step_count(m));
}

void ponder_model_free(Model *m) {
    if (!m || !m->ponder_ready) return;
    for (int l = 0; l < m->cfg.n_layer; l++)
        ponder_layer_free(&m->ph[l]);
    free(m->ph);
    ponder_layer_free(&m->ph_rec);
    if (m->rec_acts) trans_act_free(m->rec_acts, m->cfg.n_layer);
    m->rec_acts = NULL;
    m->ponder_ready = 0;
}

void ponder_apply(Model *m, float lr, int batch_size, int opt_step) {
    /* 停机单元 Adam 更新 (与 BinLayer 同式的 bias-correction Adam)
     * lr = CE lr × g_ponder_cfg.lr_scale; 梯度已在前向/反向中直接累加 (串行训练) */
    if (!g_ponder_cfg.enable || !m->ponder_ready) return;
    float plr = lr * g_ponder_cfg.lr_scale;
    float inv_batch = 1.0f / (float)batch_size;
    float bc1 = 1.0f - powf(g_adam_beta1, (float)opt_step);
    float bc2 = 1.0f - powf(g_adam_beta2, (float)opt_step);
    if (bc1 < 1e-8f) bc1 = 1e-8f;
    if (bc2 < 1e-8f) bc2 = 1e-8f;

    for (int u = 0; u <= m->cfg.n_layer; u++) {
        PonderLayer *pu = (u < m->cfg.n_layer) ? &m->ph[u] : &m->ph_rec;
        /* 梯度批平均 */
        for (int i = 0; i < pu->in_dim; i++) pu->grad_w[i] *= inv_batch;
        pu->grad_b *= inv_batch;
        /* 梯度范数钳制 (停机单元敏感, 单元级 clip 1.0) */
        float gnorm = pu->grad_b * pu->grad_b;
        for (int i = 0; i < pu->in_dim; i++) gnorm += pu->grad_w[i] * pu->grad_w[i];
        gnorm = sqrtf(gnorm);
        if (gnorm > 1.0f) {
            float clip = 1.0f / gnorm;
            for (int i = 0; i < pu->in_dim; i++) pu->grad_w[i] *= clip;
            pu->grad_b *= clip;
        }
        /* Adam 步 */
        for (int i = 0; i < pu->in_dim; i++) {
            float g = pu->grad_w[i];
            pu->m_w[i] = g_adam_beta1 * pu->m_w[i] + (1.0f - g_adam_beta1) * g;
            pu->v_w[i] = g_adam_beta2 * pu->v_w[i] + (1.0f - g_adam_beta2) * g * g;
            float mh = pu->m_w[i] / bc1;
            float vh = pu->v_w[i] / bc2;
            pu->w[i] -= plr * mh / (sqrtf(vh) + g_adam_eps);
            pu->grad_w[i] = 0.0f;
        }
        pu->m_b = g_adam_beta1 * pu->m_b + (1.0f - g_adam_beta1) * pu->grad_b;
        pu->v_b = g_adam_beta2 * pu->v_b + (1.0f - g_adam_beta2) * pu->grad_b * pu->grad_b;
        pu->b -= plr * (pu->m_b / bc1) / (sqrtf(pu->v_b / bc2) + g_adam_eps);
        pu->grad_b = 0.0f;
    }
}

/* ========================================================================
 * Binary Weight Layer
 * ======================================================================== */
void bin_layer_init(BinLayer *bl, const float *W, const float *bias,
                    int in_dim, int out_dim) {
    bl->in_dim = in_dim;
    bl->out_dim = out_dim;
    bl->n_words = (in_dim + 63) / 64;
    bl->n_words_T = (out_dim + 63) / 64;
    bl->wbits = calloc(out_dim * bl->n_words, sizeof(uint64_t));
    bl->wbits_T = calloc(in_dim * bl->n_words_T, sizeof(uint64_t));
    bl->zbits = NULL;  /* allocated only in ternary mode (logic-guided path) */
    bl->w_core = NULL; /* allocated only in logic-guided path; NULL → free() is a no-op */
    bl->logic_mask = NULL; /* set only in logic-guided path; NULL → free() is a no-op */
    bl->n_core = 0;
    bl->n_prune = 0;
    bl->alpha = calloc(out_dim, sizeof(float));
    bl->bias = bias ? malloc(out_dim * sizeof(float)) : calloc(out_dim, sizeof(float));
    bl->w_float = malloc((size_t)in_dim * out_dim * sizeof(float));  /* STE */
    bl->m_adam  = g_use_adam ? calloc((size_t)in_dim * out_dim, sizeof(float)) : NULL;   /* Adam m (conditional) */
    bl->v_adam  = g_use_adam ? calloc((size_t)in_dim * out_dim, sizeof(float)) : NULL;   /* Adam v (conditional) */
    bl->grad_accum = calloc((size_t)in_dim * out_dim, sizeof(float));  /* batch grad accumulation */
    bl->bias_grad_accum = calloc((size_t)out_dim, sizeof(float));  /* batch bias grad accumulation */
    bl->ternary_delta = 0.0f;  /* BWN by default; set by bin_layer_repack_ternary */

    /* Copy float weights for STE updates — TRANSPOSE to [out, in] layout!
     * W is [in, out] row-major (GPT-2 Conv1D format). We store w_float as
     * [out, in] so that w_float[j*in + i] is contiguous per output j.
     * This makes repack/alpha/update loops all contiguous → SIMD-friendly. */
    for (int j = 0; j < out_dim; j++)
        for (int i = 0; i < in_dim; i++)
            bl->w_float[j * in_dim + i] = W[i * out_dim + j];

    /* Row-major: pack sign(w[j][i]) per output j */
    for (int j = 0; j < out_dim; j++) {
        float abs_sum = 0;
        for (int i = 0; i < in_dim; i++) abs_sum += fabsf(W[i * out_dim + j]);
        bl->alpha[j] = abs_sum / in_dim;
        if (bias) bl->bias[j] = bias[j];
        for (int wi = 0; wi < bl->n_words; wi++) {
            uint64_t word = 0;
            for (int bi = 0; bi < 64; bi++) {
                int idx = wi * 64 + bi;
                if (idx < in_dim && W[idx * out_dim + j] > 0.0f) word |= (1ULL << bi);
            }
            bl->wbits[j * bl->n_words + wi] = word;
        }
    }

    /* Col-major (transposed): pack sign(w[j][i]) per input i */
    for (int i = 0; i < in_dim; i++) {
        for (int wi = 0; wi < bl->n_words_T; wi++) {
            uint64_t word = 0;
            for (int bi = 0; bi < 64; bi++) {
                int j = wi * 64 + bi;
                if (j < out_dim && W[i * out_dim + j] > 0.0f) word |= (1ULL << bi);
            }
            bl->wbits_T[i * bl->n_words_T + wi] = word;
        }
    }
}

/* Logic-guided binarization: initialize with per-output logic_mask.
 * mask[j]: 0=CORE (keep float), 1=BINARY (sign+alpha), 2=PRUNE (zero).
 *
 * This implements PHONE's "logic extraction at binarization time":
 * - CORE outputs: weights stored as float in w_core, NOT binarized
 * - BINARY outputs: sign(w) packed into wbits, alpha = mean(|w|)
 * - PRUNE outputs: wbits all zero, alpha=0, bias=0 (effectively removed)
 *
 * The forward pass (bin_forward) checks logic_mask per output:
 * - CORE: y[j] = x @ w_core[j] (float matmul, no binarization)
 * - BINARY: y[j] = alpha * (2*popcount - N) + bias (XNOR+popcount)
 * - PRUNE: y[j] = 0 (skipped entirely)
 */
void bin_layer_init_logic(BinLayer *bl, const float *W, const float *bias,
                          int in_dim, int out_dim, const uint8_t *logic_mask) {
    bl->in_dim = in_dim;
    bl->out_dim = out_dim;
    bl->n_words = (in_dim + 63) / 64;
    bl->n_words_T = (out_dim + 63) / 64;
    bl->wbits = calloc(out_dim * bl->n_words, sizeof(uint64_t));
    bl->wbits_T = calloc(in_dim * bl->n_words_T, sizeof(uint64_t));
    bl->alpha = calloc(out_dim, sizeof(float));
    bl->bias = bias ? malloc(out_dim * sizeof(float)) : calloc(out_dim, sizeof(float));
    bl->w_float = malloc((size_t)out_dim * in_dim * sizeof(float));
    bl->m_adam  = NULL;  /* allocated below only if we keep this layer */
    bl->v_adam  = NULL;
    bl->w_core = NULL;
    bl->logic_mask = NULL;
    bl->n_core = 0;
    bl->n_prune = 0;
    bl->zbits = NULL;
    bl->ternary_delta = 0.0f;
    bl->grad_accum = NULL;        /* FIX: must NULL-init; model_batch_alloc checks !grad_accum */
    bl->bias_grad_accum = NULL;   /* FIX: same — otherwise random heap value passes the check */

    if (!logic_mask) {
        /* No logic mask → free w_float (bin_layer_init will re-alloc) and delegate. */
        free(bl->w_float); bl->w_float = NULL;
        bin_layer_init(bl, W, bias, in_dim, out_dim);
        return;
    }
    /* We're keeping this layer — allocate Adam state for the BINARY/CORE
     * STE-update path. PRUNE outputs contribute zero, but they still own a
     * slot in w_float (so the [out*in] indexing stays uniform). */
    bl->m_adam = calloc((size_t)out_dim * in_dim, sizeof(float));
    bl->v_adam = calloc((size_t)out_dim * in_dim, sizeof(float));

    /* Copy logic mask + count categories */
    bl->logic_mask = malloc(out_dim);
    memcpy(bl->logic_mask, logic_mask, out_dim);
    for (int j = 0; j < out_dim; j++) {
        if (logic_mask[j] == 0) bl->n_core++;
        else if (logic_mask[j] == 2) bl->n_prune++;
    }

    /* Allocate w_core for CORE outputs (float weights, [n_core, in_dim]) */
    if (bl->n_core > 0) {
        bl->w_core = malloc((size_t)bl->n_core * in_dim * sizeof(float));
    }

    /* Process each output based on its logic category */
    int core_idx = 0;
    for (int j = 0; j < out_dim; j++) {
        const float *wj = &W[j * in_dim];  /* W is [out, in] (transposed) */

        switch (logic_mask[j]) {
        case 0: /* CORE: keep float */
            memcpy(&bl->w_core[core_idx * in_dim], wj, in_dim * sizeof(float));
            bl->alpha[j] = 0.0f;  /* not used for CORE */
            if (bias) bl->bias[j] = bias[j];
            /* wbits for CORE: all zero (not used, but keep for indexing) */
            core_idx++;
            break;

        case 1: /* BINARY: sign(w) + alpha */
            {
                float abs_sum = 0;
                for (int i = 0; i < in_dim; i++) abs_sum += fabsf(wj[i]);
                bl->alpha[j] = abs_sum / in_dim;
                if (bias) bl->bias[j] = bias[j];
                for (int wi = 0; wi < bl->n_words; wi++) {
                    uint64_t word = 0;
                    for (int bi = 0; bi < 64; bi++) {
                        int idx = wi * 64 + bi;
                        if (idx < in_dim && wj[idx] > 0.0f) word |= (1ULL << bi);
                    }
                    bl->wbits[j * bl->n_words + wi] = word;
                }
            }
            break;

        case 2: /* PRUNE: zero out */
            bl->alpha[j] = 0.0f;
            bl->bias[j] = 0.0f;
            /* wbits already zero from calloc */
            break;
        }

        /* Copy to w_float (transposed [out, in] for STE compatibility) */
        memcpy(&bl->w_float[j * in_dim], wj, in_dim * sizeof(float));
    }

    /* Build wbits_T (transposed) only for BINARY outputs */
    for (int i = 0; i < in_dim; i++) {
        for (int wi = 0; wi < bl->n_words_T; wi++) {
            uint64_t word = 0;
            for (int bi = 0; bi < 64; bi++) {
                int j = wi * 64 + bi;
                if (j < out_dim && logic_mask[j] == 1 && W[j * in_dim + i] > 0.0f)
                    word |= (1ULL << bi);
            }
            bl->wbits_T[i * bl->n_words_T + wi] = word;
        }
    }

    /* Ternary mode: allocate zbits (zero mask, same shape as wbits) and
     * compute initial ternary binarization from w_float. When ternary is off,
     * zbits stays NULL — bin_forward uses the pure BWN ±1 path. */
    if (g_use_ternary) {
        bl->zbits = calloc((size_t)out_dim * bl->n_words, sizeof(uint64_t));
        bin_layer_repack_ternary(bl);
    }
}

void bin_layer_free(BinLayer *bl) {
    free(bl->wbits); free(bl->wbits_T); free(bl->zbits); free(bl->alpha); free(bl->bias);
    free(bl->w_float); free(bl->w_core); free(bl->logic_mask);
    free(bl->m_adam); free(bl->v_adam); free(bl->grad_accum); free(bl->bias_grad_accum);
    bl->wbits = NULL; bl->wbits_T = NULL; bl->zbits = NULL;
    bl->alpha = NULL; bl->bias = NULL;
    bl->w_float = NULL; bl->w_core = NULL; bl->logic_mask = NULL;
    bl->m_adam = NULL; bl->v_adam = NULL;
    bl->grad_accum = NULL; bl->bias_grad_accum = NULL;  /* FIX: was missing, causing wild-pointer crash in model_batch_begin after model_free + model_batch_alloc on phase switch */
}

/* Re-pack wbits and wbits_T from sign(w_float).
 * w_float is [out, in] (transposed from Conv1D's [in, out] for contiguous
 * per-output access). All loops here are now contiguous → auto-vectorizable.
 *
 * Key optimization: wbits[j] packs sign(w_float[j*in + 0..in-1]) which is
 * contiguous memory. The compiler auto-vectorizes the 8x unrolled comparison
 * into SIMD compare + movemask-style bit extraction. */
void bin_layer_repack(BinLayer *bl) {
    int in = bl->in_dim, out = bl->out_dim;

    /* === CRITICAL FIX: Sync w_core from w_float for CORE neurons ===
     * CORE neurons use w_core (float) in forward pass, but model_batch_apply
     * updates w_float. Without this sync, CORE weights are FROZEN and
     * CORE/BINARY differentiation never improves. */
    if (bl->w_core && bl->logic_mask) {
        int core_idx = 0;
        for (int j = 0; j < out; j++) {
            if (bl->logic_mask[j] == 0) {  /* CORE */
                memcpy(&bl->w_core[core_idx * in],
                       &bl->w_float[j * in],
                       in * sizeof(float));
                core_idx++;
            }
        }
    }

    /* Pack wbits[j][wi] from sign(w_float[j*in + i]) — CONTIGUOUS in i! */
    for (int j = 0; j < out; j++) {
        const float *wf = &bl->w_float[j * in];  /* contiguous [in] */
        for (int wi = 0; wi < bl->n_words; wi++) {
            uint64_t word = 0;
            int base = wi * 64;
            for (int grp = 0; grp < 8; grp++) {
                int idx = base + grp * 8;
                if (idx + 7 < in) {
                    /* 8 contiguous floats — compiler auto-vectorizes to SIMD */
                    if (wf[idx+0] > 0.0f) word |= (1ULL << (grp*8 + 0));
                    if (wf[idx+1] > 0.0f) word |= (1ULL << (grp*8 + 1));
                    if (wf[idx+2] > 0.0f) word |= (1ULL << (grp*8 + 2));
                    if (wf[idx+3] > 0.0f) word |= (1ULL << (grp*8 + 3));
                    if (wf[idx+4] > 0.0f) word |= (1ULL << (grp*8 + 4));
                    if (wf[idx+5] > 0.0f) word |= (1ULL << (grp*8 + 5));
                    if (wf[idx+6] > 0.0f) word |= (1ULL << (grp*8 + 6));
                    if (wf[idx+7] > 0.0f) word |= (1ULL << (grp*8 + 7));
                } else {
                    for (int bi = 0; bi < 8; bi++) {
                        int i = idx + bi;
                        if (i < in && wf[i] > 0.0f)
                            word |= (1ULL << (grp * 8 + bi));
                    }
                }
            }
            bl->wbits[j * bl->n_words + wi] = word;
        }
    }

    /* Skip wbits_T repack in STE mode — grad_x is now computed from w_float
     * directly (float arithmetic), so wbits_T is never read during STE training.
     * This saves the strided wbits_T repack loop (the slowest part). */
    for (int j = 0; j < out; j++) {
        const float *wf = &bl->w_float[j * in];  /* contiguous [in] */
        float abs_sum = 0;
        for (int i = 0; i + 7 < in; i += 8) {
            abs_sum += fabsf(wf[i+0]) + fabsf(wf[i+1]) + fabsf(wf[i+2]) + fabsf(wf[i+3]);
            abs_sum += fabsf(wf[i+4]) + fabsf(wf[i+5]) + fabsf(wf[i+6]) + fabsf(wf[i+7]);
        }
        for (int i = (in / 8) * 8; i < in; i++)
            abs_sum += fabsf(wf[i]);
        bl->alpha[j] = abs_sum / in;
    }
}

/* Ternary repack: recompute zbits (zero mask) from |w_float| vs Δ.
 * For each BINARY output row j:
 *   Δ_j = g_ternary_delta_factor * mean(|w_float[j]|)
 *   zbits[j][i] = 1  if |w_float[j*in+i]| <= Δ_j  (weight zeroed → ternary 0)
 *   zbits[j][i] = 0  otherwise                      (weight active → ±1)
 * Also updates alpha[j] = mean(|w|) over ACTIVE weights only (standard TWN
 * scaling: the zeroed weights contribute nothing, so scaling reflects the
 * active subset). CORE/PRUNE rows are skipped (zbits stays 0 there).
 *
 * wbits (sign) is NOT recomputed here — bin_layer_repack (called separately
 * for STE) keeps sign in sync. This function only updates the zero mask.
 * Called at init and after every STE step when g_use_ternary is on. */
void bin_layer_repack_ternary(BinLayer *bl) {
    if (!bl->zbits || !bl->w_float) return;
    int in = bl->in_dim, out = bl->out_dim, nw = bl->n_words;

    for (int j = 0; j < out; j++) {
        /* Skip non-BINARY rows — they don't use ternary (CORE=float, PRUNE=0). */
        if (bl->logic_mask && bl->logic_mask[j] != 1) continue;

        const float *wf = &bl->w_float[j * in];
        /* Compute per-row Δ = factor * mean(|w|). */
        float abs_sum = 0.0f;
        for (int i = 0; i + 7 < in; i += 8) {
            abs_sum += fabsf(wf[i+0]) + fabsf(wf[i+1]) + fabsf(wf[i+2]) + fabsf(wf[i+3]);
            abs_sum += fabsf(wf[i+4]) + fabsf(wf[i+5]) + fabsf(wf[i+6]) + fabsf(wf[i+7]);
        }
        for (int i = (in/8)*8; i < in; i++) abs_sum += fabsf(wf[i]);
        float mean_abs = abs_sum / in;
        float delta = g_ternary_delta_factor * mean_abs;
        bl->ternary_delta = delta;  /* store per-layer (last row wins, used for stats) */

        /* Pack zbits[j]: 1 where |w| <= delta. Also sum active |w| for alpha. */
        uint64_t *zb = &bl->zbits[(size_t)j * nw];
        float active_abs_sum = 0.0f;
        int n_active = 0;
        for (int wi = 0; wi < nw; wi++) {
            uint64_t word = 0;
            int base = wi * 64;
            for (int grp = 0; grp < 8; grp++) {
                int idx = base + grp * 8;
                if (idx + 7 < in) {
                    for (int k = 0; k < 8; k++) {
                        int i = idx + k;
                        if (fabsf(wf[i]) <= delta) {
                            word |= (1ULL << (grp*8 + k));
                        } else {
                            active_abs_sum += fabsf(wf[i]);
                            n_active++;
                        }
                    }
                } else {
                    for (int k = 0; k < 8; k++) {
                        int i = idx + k;
                        if (i >= in) break;
                        if (fabsf(wf[i]) <= delta) {
                            word |= (1ULL << (grp*8 + k));
                        } else {
                            active_abs_sum += fabsf(wf[i]);
                            n_active++;
                        }
                    }
                }
            }
            zb[wi] = word;
        }
        /* TWN alpha: mean(|w|) over active weights. Falls back to mean over all
         * if everything got zeroed (degenerate row). */
        bl->alpha[j] = (n_active > 0) ? (active_abs_sum / n_active) : mean_abs;
    }
}

/* ========================================================================
 * Binary Forward — BWN (default, matches Python STE training)
 * ========================================================================
 * x stays float. Only W is binarized (sign(W) * alpha).
 * Adds XNOR-Net K-norm: K = ||x||_1 / in_dim, preserves input magnitude.
 *
 *   y[j] = (sum_i sign(W[j,i]) * x[i]) * alpha[j] * K + bias[j]
 *
 * This is the mathematically correct BWN forward. The old bin_forward was
 * BNN (binarized x too) which diverged from training and caused quality
 * collapse. BNN is retained as bin_forward_bnn() for opt-in fast mode.
 * ======================================================================== */
void bin_forward(float *y, const float *x, const BinLayer *bl) {
    int in = bl->in_dim, out = bl->out_dim, nw = bl->n_words;

    /* Logic-guided: if logic_mask exists, dispatch per-output */
    if (bl->logic_mask) {
        /* K-norm for BINARY outputs */
        float abs_sum = 0.0f;
        for (int i = 0; i < in; i++) abs_sum += fabsf(x[i]);
        float K = abs_sum / in;

        sign_lut_ensure();

        /* v16-perf: 预计算 CORE 行索引前缀, 解除循环依赖后可 OpenMP 并行 */
        int *cidx = (int *)alloca(out * sizeof(int));
        { int c = 0; for (int j = 0; j < out; j++) { cidx[j] = c; if (bl->logic_mask[j] == 0) c++; } }

#ifdef HAVE_OPENBLAS
        /* [加速] CORE 路径用 cblas_sgemm 一次性算所有 CORE 行.
         * w_core 是 [n_core, in] 行主序, x 是 [in], 结果是 [n_core].
         * 用 sgemm: C[1, n_core] = 1.0 * A[1, in] @ B[in, n_core] + 0.0
         * 其中 A = x (1×in), B = w_core^T (in×n_core, 但 w_core 是 n_core×in 行主序,
         * 所以 B = w_core 用 CblasTrans), C = raw_dots (1×n_core).
         * 然后 per-row: y[j] = raw_dots[cidx[j]] * core_gain[j] * K + bias[j]. */
        int n_core = cidx[out > 0 ? out - 1 : 0] + (out > 0 && bl->logic_mask[out-1] == 0 ? 1 : 0);
        if (n_core > 0 && bl->w_core) {
            openblas_init_single_thread();  /* 首次调用: 强制 OpenBLAS 单线程, 避免与 OpenMP 冲突 */
            /* 用 static buffer 避免 per-call malloc; 大小 = n_core * sizeof(float) */
            static __thread float *core_dots = NULL;
            static __thread int core_dots_n = 0;
            if (core_dots_n < n_core) {
                free(core_dots);
                core_dots = (float *)malloc(n_core * sizeof(float));
                core_dots_n = n_core;
            }
            /* 用 cblas_sgemv 算 y = alpha * A @ x + beta * y
             * A = w_core [n_core, in] 行主序, x = x [in], y = core_dots [n_core]
             * sgemm M=1 时 sgemv 更高效 (专门优化的 GEMV 路径, 无需转置) */
            cblas_sgemv(CblasRowMajor, CblasNoTrans,
                        n_core, in,
                        1.0f, bl->w_core, in,
                        x, 1,
                        0.0f, core_dots, 1);
            /* per-row 后处理: core_gain * K + bias */
            #pragma omp parallel for schedule(static)
            for (int j = 0; j < out; j++) {
                if (bl->logic_mask[j] != 0) continue;
                float core_gain = 1.0f / (bl->alpha[j] + 1e-8f);
                if (core_gain > 5.0f) core_gain = 5.0f;
                y[j] = core_dots[cidx[j]] * core_gain * K + bl->bias[j];
            }
            /* BINARY + PRUNE 路径仍用原循环 (位运算, sgemm 不适合) */
            #pragma omp parallel for schedule(static)
            for (int j = 0; j < out; j++) {
                uint8_t m = bl->logic_mask[j];
                if (m == 0) continue;  /* CORE 已用 sgemm 算完 */
                if (m == 1) { /* BINARY */
                    const uint64_t *wb = &bl->wbits[j * nw];
                    const uint64_t *zb = bl->zbits ? &bl->zbits[j * nw] : NULL;
                    float s = 0.0f;
                    for (int wi = 0; wi < nw; wi++) {
                        uint64_t w = wb[wi];
                        uint64_t z = zb ? zb[wi] : 0;
                        int base = wi * 64;
                        for (int bi = 0; bi < 8; bi++) {
                            int idx = base + bi * 8;
                            uint8_t byte = (uint8_t)((w >> (bi * 8)) & 0xFF);
                            uint8_t zbyte = (uint8_t)((z >> (bi * 8)) & 0xFF);
                            const float *sw = g_sign_lut[byte];
                            if (idx + 7 < in) {
                                if (zbyte == 0) {
                                    s += x[idx+0]*sw[0] + x[idx+1]*sw[1] + x[idx+2]*sw[2] + x[idx+3]*sw[3];
                                    s += x[idx+4]*sw[4] + x[idx+5]*sw[5] + x[idx+6]*sw[6] + x[idx+7]*sw[7];
                                } else {
                                    s += (zbyte & 0x01) ? 0 : x[idx+0]*sw[0];
                                    s += (zbyte & 0x02) ? 0 : x[idx+1]*sw[1];
                                    s += (zbyte & 0x04) ? 0 : x[idx+2]*sw[2];
                                    s += (zbyte & 0x08) ? 0 : x[idx+3]*sw[3];
                                    s += (zbyte & 0x10) ? 0 : x[idx+4]*sw[4];
                                    s += (zbyte & 0x20) ? 0 : x[idx+5]*sw[5];
                                    s += (zbyte & 0x40) ? 0 : x[idx+6]*sw[6];
                                    s += (zbyte & 0x80) ? 0 : x[idx+7]*sw[7];
                                }
                            } else {
                                for (int i = idx; i < in; i++) {
                                    if (zb && ((z >> (i & 63)) & 1)) continue;
                                    s += (((w >> (i & 63)) & 1) ? sw[i-idx] : -sw[i-idx]);
                                }
                            }
                        }
                    }
                    y[j] = s * bl->alpha[j] * K * g_binary_scale + bl->bias[j];
                } else { /* PRUNE */
                    y[j] = 0.0f;
                }
            }
            return;
        }
#endif
        /* 无 OpenBLAS 或 n_core=0: 走原 OpenMP + 8 倍展开路径 */
        #pragma omp parallel for schedule(static)
        for (int j = 0; j < out; j++) {
            switch (bl->logic_mask[j]) {
            case 0: { /* CORE: float matmul * core_gain * K
                 * Whitebox circuit trace: CORE was 22x weaker than BINARY.
                 * BINARY: sign(w)*alpha*K — sign() amplifies every weight to ±1.
                 * CORE:   w*K — raw float weights (~0.02), no amplification.
                 *
                 * Fix: core_gain = 1/alpha normalizes CORE's effective weight
                 * magnitude to ~1 (like BINARY's sign). Capped at 5 to prevent
                 * explosion when alpha is tiny. This makes CORE's signal O(1)
                 * like BINARY, so the circuit can actually use CORE's precision.
                 *
                 * alpha[j] = mean(|w_float[j]|), recalculated in bin_layer_repack.
                 * For CORE neurons, alpha is set in init then recalculated in repack. */
                const float *wc = &bl->w_core[cidx[j] * in];
                float s = 0.0f;
                for (int i = 0; i + 7 < in; i += 8) {
                    s += x[i+0]*wc[i+0] + x[i+1]*wc[i+1] + x[i+2]*wc[i+2] + x[i+3]*wc[i+3];
                    s += x[i+4]*wc[i+4] + x[i+5]*wc[i+5] + x[i+6]*wc[i+6] + x[i+7]*wc[i+7];
                }
                for (int i = (in/8)*8; i < in; i++) s += x[i] * wc[i];
                float core_gain = 1.0f / (bl->alpha[j] + 1e-8f);
                if (core_gain > 5.0f) core_gain = 5.0f;  /* moderate cap: 5x boost */
                y[j] = s * core_gain * K + bl->bias[j];
                break;
            }
            case 1: { /* BINARY: sign(w) * alpha * K + bias (ternary if zbits set) */
                const uint64_t *wb = &bl->wbits[j * nw];
                const uint64_t *zb = bl->zbits ? &bl->zbits[j * nw] : NULL;
                float s = 0.0f;
                for (int wi = 0; wi < nw; wi++) {
                    uint64_t w = wb[wi];
                    uint64_t z = zb ? zb[wi] : 0;  /* zero mask: 1=skip */
                    int base = wi * 64;
                    for (int bi = 0; bi < 8; bi++) {
                        int idx = base + bi * 8;
                        uint8_t byte = (uint8_t)((w >> (bi * 8)) & 0xFF);
                        uint8_t zbyte = (uint8_t)((z >> (bi * 8)) & 0xFF);
                        const float *sw = g_sign_lut[byte];
                        if (idx + 7 < in) {
                            /* Ternary: zeroed positions contribute 0.
                             * contribution = sign * (1 - zbit) * x.
                             * (1 - zbit) ∈ {0,1} acts as an enable mask. */
                            if (zbyte == 0) {
                                /* No zeros in this byte — full 8x dot product. */
                                s += x[idx+0]*sw[0] + x[idx+1]*sw[1] + x[idx+2]*sw[2] + x[idx+3]*sw[3];
                                s += x[idx+4]*sw[4] + x[idx+5]*sw[5] + x[idx+6]*sw[6] + x[idx+7]*sw[7];
                            } else {
                                /* Mixed: check each bit. zbyte bit set = skip. */
                                s += (zbyte & 0x01) ? 0 : x[idx+0]*sw[0];
                                s += (zbyte & 0x02) ? 0 : x[idx+1]*sw[1];
                                s += (zbyte & 0x04) ? 0 : x[idx+2]*sw[2];
                                s += (zbyte & 0x08) ? 0 : x[idx+3]*sw[3];
                                s += (zbyte & 0x10) ? 0 : x[idx+4]*sw[4];
                                s += (zbyte & 0x20) ? 0 : x[idx+5]*sw[5];
                                s += (zbyte & 0x40) ? 0 : x[idx+6]*sw[6];
                                s += (zbyte & 0x80) ? 0 : x[idx+7]*sw[7];
                            }
                        } else {
                            for (int k = 0; k < 8; k++) {
                                int i = idx + k;
                                if (i < in && !((zbyte >> k) & 1)) s += x[i] * sw[k];
                            }
                        }
                    }
                }
                y[j] = s * bl->alpha[j] * K * g_binary_scale + bl->bias[j];
                break;
            }
            default: /* PRUNE: zero */
                y[j] = 0.0f;
                break;
            }
        }
        return;
    }

    /* Standard BWN path (no logic_mask) */
    float abs_sum = 0.0f;
    for (int i = 0; i < in; i++) abs_sum += fabsf(x[i]);
    float K = abs_sum / in;

    sign_lut_ensure();

    for (int j = 0; j < out; j++) {
        const uint64_t *wb = &bl->wbits[j * nw];
        float s = 0.0f;
        for (int wi = 0; wi < nw; wi++) {
            uint64_t w = wb[wi];
            int base = wi * 64;
            /* Process 8 bytes (8×8=64 bits) per word, 8 floats at a time */
            for (int bi = 0; bi < 8; bi++) {
                int idx = base + bi * 8;
                uint8_t byte = (uint8_t)((w >> (bi * 8)) & 0xFF);
                const float *sw = g_sign_lut[byte];
                if (idx + 7 < in) {
                    /* 8x unrolled dot product — auto-vectorizes to SIMD */
                    s += x[idx+0] * sw[0];
                    s += x[idx+1] * sw[1];
                    s += x[idx+2] * sw[2];
                    s += x[idx+3] * sw[3];
                    s += x[idx+4] * sw[4];
                    s += x[idx+5] * sw[5];
                    s += x[idx+6] * sw[6];
                    s += x[idx+7] * sw[7];
                } else {
                    /* Tail: handle remaining elements (< 8) */
                    for (int k = 0; k < 8; k++) {
                        int i = idx + k;
                        if (i < in) s += x[i] * sw[k];
                    }
                }
            }
        }
        y[j] = s * bl->alpha[j] * K + bl->bias[j];
    }
}

/* BNN fast path: XNOR + popcount, binarizes BOTH x and W.
 * ~64x faster than BWN. With K-norm input scaling (XNOR-Net, Rastegari 2016),
 * the output magnitude is restored: y = (2*pc-in) * alpha * K + bias, where
 * K = mean(|x|). Without K, outputs have wrong magnitude → garbled generation. */
void bin_forward_bnn(float *y, const float *x, const BinLayer *bl) {
    int in = bl->in_dim, out = bl->out_dim, nw = bl->n_words;

    /* Compute input scale K = mean(|x|) — restores magnitude lost by sign(x).
     * O(in) cost is negligible vs the O(in*out) XNOR+popcount matmul. */
    float abs_sum = 0.0f;
    for (int i = 0; i < in; i++) abs_sum += fabsf(x[i]);
    float K = abs_sum / in;

    /* Binarize input */
    uint64_t xbits[64];
    for (int wi = 0; wi < nw; wi++) {
        uint64_t word = 0;
        for (int bi = 0; bi < 64; bi++) {
            int idx = wi * 64 + bi;
            if (idx < in && x[idx] > 0.0f) word |= (1ULL << bi);
        }
        xbits[wi] = word;
    }
    /* XNOR + popcount per output, scaled by alpha * K */
    for (int j = 0; j < out; j++) {
        int pc = 0;
        const uint64_t *wb = &bl->wbits[j * nw];
        for (int wi = 0; wi < nw; wi++)
            pc += __builtin_popcountll(~(xbits[wi] ^ wb[wi]));
        y[j] = (float)(2 * pc - in) * bl->alpha[j] * K + bl->bias[j];
    }
}

/* Legacy bin_forward_float: BWN without K-norm. Kept for callers that
 * explicitly don't want input magnitude scaling. */
void bin_forward_float(float *y, const float *x, const BinLayer *bl) {
    int in = bl->in_dim, out = bl->out_dim, nw = bl->n_words;
    for (int j = 0; j < out; j++) {
        float s = bl->bias[j];
        const uint64_t *wb = &bl->wbits[j * nw];
        float a = bl->alpha[j];
        for (int wi = 0; wi < nw; wi++) {
            uint64_t w = wb[wi];
            for (int bi = 0; bi < 64; bi++) {
                int idx = wi * 64 + bi;
                if (idx >= in) break;
                s += x[idx] * ((w >> bi) & 1 ? 1.0f : -1.0f) * a;
            }
        }
        y[j] = s;
    }
}

/* ========================================================================
 * Binary Backward: popcount for grad_x, popcount for alpha update
 * ======================================================================== */
void bin_backward(float *grad_x, const float *grad_y, const float *x,
                  BinLayer *bl, float lr) {
    int in = bl->in_dim, out = bl->out_dim;
    int nw_T = bl->n_words_T;

    /* Logic-guided: if logic_mask exists, dispatch per-output.
     * Without this, the non-logic path uses mean_alpha = sum(alpha)/out,
     * but PRUNE (alpha=0) and CORE (alpha=0) dilute mean_alpha → wrong
     * grad_x → NaN divergence. This was the root cause of ai_4116f587's
     * step-100 NaN in --logic + --real-attention testing.
     *   CORE: grad_x += grad_y * w_core (proper float gradient)
     *   BINARY: grad_x += grad_y * sign(wbits) * alpha (original logic)
     *   PRUNE: skip (zero gradient, output is zeroed in forward) */
    if (bl->logic_mask) {
        for (int i = 0; i < in; i++) grad_x[i] = 0.0f;
        /* K-norm for BINARY/CORE outputs (must match bin_forward's logic_mask path,
         * otherwise CORE/BINARY grad_x is off by a factor of K = mean(|x|)). */
        float abs_sum = 0.0f;
        for (int i = 0; i < in; i++) abs_sum += fabsf(x[i]);
        float K = abs_sum / in;
        int core_idx = 0;
        for (int j = 0; j < out; j++) {
            float gy = grad_y[j];
            if (bl->logic_mask[j] == 0) {
                /* CORE: float gradient through w_core * core_gain * K */
                if (fabsf(gy) >= 1e-8f) {
                    const float *wc = &bl->w_core[core_idx * in];
                    float core_gain = 1.0f / (bl->alpha[j] + 1e-8f);
                    if (core_gain > 5.0f) core_gain = 5.0f;
                    float scale = gy * core_gain * K;
                    for (int i = 0; i + 7 < in; i += 8) {
                        grad_x[i+0] += scale * wc[i+0];
                        grad_x[i+1] += scale * wc[i+1];
                        grad_x[i+2] += scale * wc[i+2];
                        grad_x[i+3] += scale * wc[i+3];
                        grad_x[i+4] += scale * wc[i+4];
                        grad_x[i+5] += scale * wc[i+5];
                        grad_x[i+6] += scale * wc[i+6];
                        grad_x[i+7] += scale * wc[i+7];
                    }
                    for (int i = (in/8)*8; i < in; i++) grad_x[i] += scale * wc[i];
                }
                core_idx++;
                bl->bias[j] -= lr * gy;
            } else if (bl->logic_mask[j] == 1) {
                /* BINARY: gradient through sign(wbits) * alpha */
                if (fabsf(gy) >= 1e-8f) {
                    const uint64_t *wb = &bl->wbits[j * bl->n_words];
                    float scale = gy * bl->alpha[j];
                    for (int wi = 0; wi < bl->n_words; wi++) {
                        uint64_t w = wb[wi];
                        int base = wi * 64;
                        for (int bi = 0; bi < 8; bi++) {
                            int idx = base + bi * 8;
                            if (idx + 7 < in) {
                                grad_x[idx+0] += scale * ((w >> (bi*8+0)) & 1 ? 1.0f : -1.0f);
                                grad_x[idx+1] += scale * ((w >> (bi*8+1)) & 1 ? 1.0f : -1.0f);
                                grad_x[idx+2] += scale * ((w >> (bi*8+2)) & 1 ? 1.0f : -1.0f);
                                grad_x[idx+3] += scale * ((w >> (bi*8+3)) & 1 ? 1.0f : -1.0f);
                                grad_x[idx+4] += scale * ((w >> (bi*8+4)) & 1 ? 1.0f : -1.0f);
                                grad_x[idx+5] += scale * ((w >> (bi*8+5)) & 1 ? 1.0f : -1.0f);
                                grad_x[idx+6] += scale * ((w >> (bi*8+6)) & 1 ? 1.0f : -1.0f);
                                grad_x[idx+7] += scale * ((w >> (bi*8+7)) & 1 ? 1.0f : -1.0f);
                            } else {
                                for (int k = 0; k < 8; k++) {
                                    int i = idx + k;
                                    if (i < in) grad_x[i] += scale * ((w >> (bi*8+k)) & 1 ? 1.0f : -1.0f);
                                }
                            }
                        }
                    }
                }
                bl->bias[j] -= lr * gy;
            }
            /* PRUNE (case 2): no gradient, skip entirely */
        }
        return;
    }

    /* Non-logic path: original bin_backward */

    /* Part 1: grad_x via XNOR+popcount using transposed weights */
    uint64_t gybits[64];
    for (int wi = 0; wi < nw_T; wi++) {
        uint64_t word = 0;
        for (int bi = 0; bi < 64; bi++) {
            int j = wi * 64 + bi;
            if (j < out && grad_y[j] > 0.0f) word |= (1ULL << bi);
        }
        gybits[wi] = word;
    }
    float mean_abs_gy = 0, mean_alpha = 0;
    for (int j = 0; j < out; j++) mean_abs_gy += fabsf(grad_y[j]);
    mean_abs_gy /= out;
    for (int j = 0; j < out; j++) mean_alpha += bl->alpha[j];
    mean_alpha /= out;
    for (int i = 0; i < in; i++) {
        int pc = 0;
        const uint64_t *wbT = &bl->wbits_T[i * nw_T];
        for (int wi = 0; wi < nw_T; wi++)
            pc += __builtin_popcountll(~(gybits[wi] ^ wbT[wi]));
        grad_x[i] = (float)(2 * pc - out) * mean_alpha * mean_abs_gy;
    }

    /* Part 2: alpha + bias update via popcount (reuse x_bits)
     *
     * [FIX 严重4] alpha update direction: was '+=', now '-'= to match bias.
     *   Old code: bl->alpha[j] += lr * grad_alpha * gy / in;   (WRONG: ascends loss)
     *   New code: bl->alpha[j] -= lr * grad_alpha * gy;         (correct: descends loss)
     * Also dropped spurious '/in' that shrank alpha's effective LR by in_dim.
     * [FIX 严重6] Removed alpha clamp to [0.001, 1.0] — it prevented alpha from
     *   converging to its natural magnitude and forced a fake floor. */
    float mean_abs_x = 0;
    for (int i = 0; i < in; i++) mean_abs_x += fabsf(x[i]);
    mean_abs_x /= in;
    uint64_t xbits[64];
    for (int wi = 0; wi < bl->n_words; wi++) {
        uint64_t word = 0;
        for (int bi = 0; bi < 64; bi++) {
            int idx = wi * 64 + bi;
            if (idx < in && x[idx] > 0.0f) word |= (1ULL << bi);
        }
        xbits[wi] = word;
    }
    for (int j = 0; j < out; j++) {
        float gy = grad_y[j];
        if (fabsf(gy) < 1e-6f) continue;
        int pc = 0;
        const uint64_t *wb = &bl->wbits[j * bl->n_words];
        for (int wi = 0; wi < bl->n_words; wi++)
            pc += __builtin_popcountll(~(xbits[wi] ^ wb[wi]));
        float grad_alpha = (float)(2 * pc - in) * mean_abs_x;
        bl->alpha[j] -= lr * grad_alpha * gy;   /* FIXED: direction + no /in */
        /* Removed: if (bl->alpha[j] < 0.001f) bl->alpha[j] = 0.001f;
         *         if (bl->alpha[j] > 1.0f)   bl->alpha[j] = 1.0f; */
        if (bl->alpha[j] < 0.0f) bl->alpha[j] = 0.0f;  /* only non-negativity */
        bl->bias[j] -= lr * gy;
    }
}

/* STE (Straight-Through Estimator) backward pass.
 *
 * Key difference from bin_backward: this updates w_float (the full-precision
 * weights) using the gradient, treating sign() as identity. After the update,
 * wbits is re-packed from sign(w_float) via bin_layer_repack().
 *
 * This allows the binary weights to actually change during training, which
 * is impossible with bin_backward (it only updates alpha and bias).
 *
 * STE gradient: d(loss)/d(w_float) = d(loss)/d(sign(w)) * d(sign(w))/d(w)
 *                                  = grad_y * x * 1  (STE: sign'(w) = 1)
 * So: w_float[i,j] -= lr * grad_y[j] * x[i]
 *
 * Memory note: w_float is [in_dim, out_dim] row-major, same as input W.
 * This adds ~in*out*4 bytes per layer (e.g. 768*2304*4 = 7MB for c_attn).
 * Total for 12 layers × 4 matrices ≈ 339 MB extra during training.
 * For inference, w_float can be freed (set to NULL after training). */
void bin_backward_ste(float *grad_x, const float *grad_y, const float *x,
                      BinLayer *bl, float lr, int layer_idx, int bl_slot) {
    int in = bl->in_dim, out = bl->out_dim;

    /* Part 1: grad_x computation.
     * In STE mode, skip wbits_T repack entirely — compute grad_x directly
     * from w_float using float arithmetic. This avoids the strided wbits_T
     * repack (50% of repack cost) at the expense of float mul-adds.
     *
     * grad_x[i] = sum_j grad_y[j] * sign(w_float[j*in+i]) * alpha[j]
     *
     * w_float is [out, in], so w_float[j*in+i] has i contiguous per j.
     * But we need i fixed, j varying — that's strided. So we compute
     * per-i by accumulating over j. With [out,in] layout, w_float[j*in+i]
     * for fixed i has stride=in. This is still strided but avoids repack.
     *
     * Alternative: compute grad_x = sign(w_float)^T @ (grad_y * alpha)
     * which is a matrix-vector product. We can do it per-output j and
     * accumulate into grad_x (since w_float[j*in+i] is contiguous in i). */
    if (bl->w_float) {
        /* Zero grad_x first */
        for (int i = 0; i < in; i++) grad_x[i] = 0.0f;
        /* For each output j: grad_x += grad_y[j] * alpha[j] * sign(w_float[j*in+i])
         * w_float[j*in + 0..in-1] is contiguous → SIMD-friendly! */
        /* Ternary QAT grad_x: scale = gy * alpha * K, weight = ternary_w(wf). */
        float K = 1.0f;
        int nw_gx = (in + 63) / 64;
        sign_lut_ensure();
        if (g_use_ternary && bl->zbits) {
            K = 0.0f;
            for (int i = 0; i < in; i++) K += fabsf(x[i]);
            K = K / in;
        }
        /* bin_backward_ste grad_x — 串行 (OpenMP reduction 在某些 BinLayer 配置下产生 NaN) */
        for (int j = 0; j < out; j++) {
            float gy = grad_y[j];
            if (fabsf(gy) < 1e-8f) continue;
            /* Skip PRUNE in grad_x: PRUNE outputs 0 in forward, so it must
             * NOT contribute gradient to the input. Without this skip,
             * sign(w_float) of dead neurons leaks gradient upstream,
             * causing PRUNE activations to grow instead of staying silent. */
            if (bl->logic_mask && bl->logic_mask[j] == 2) continue;
            const float *wf = &bl->w_float[j * in];  /* contiguous [in] */
            if (g_use_ternary && bl->zbits) {
                /* Ternary STE: grad_x += gy * alpha * K * t(wf[i]),
                 * t = zero-masked sign. Use the SAME packed wbits/zbits as
                 * forward so the straight-through gradient differentiates
                 * exactly the weights used in the forward pass (bit-packed
                 * XNOR path, no per-element float sign compare). */
                float scale = gy * bl->alpha[j] * K;
                const uint64_t *zb = &bl->zbits[(size_t)j * nw_gx];
                const uint64_t *wb = &bl->wbits[(size_t)j * nw_gx];
                for (int i = 0; i + 7 < in; i += 8) {
                    uint8_t zbyte = (uint8_t)((zb[i/64] >> (i%64)) & 0xFF);
                    uint8_t wbyte = (uint8_t)((wb[i/64] >> (i%64)) & 0xFF);
                    const float *sw = g_sign_lut[wbyte];
                    if (zbyte == 0) {
                        grad_x[i+0] += scale * sw[0]; grad_x[i+1] += scale * sw[1];
                        grad_x[i+2] += scale * sw[2]; grad_x[i+3] += scale * sw[3];
                        grad_x[i+4] += scale * sw[4]; grad_x[i+5] += scale * sw[5];
                        grad_x[i+6] += scale * sw[6]; grad_x[i+7] += scale * sw[7];
                    } else {
                        grad_x[i+0] += scale * ((zbyte & 0x01) ? 0.0f : sw[0]);
                        grad_x[i+1] += scale * ((zbyte & 0x02) ? 0.0f : sw[1]);
                        grad_x[i+2] += scale * ((zbyte & 0x04) ? 0.0f : sw[2]);
                        grad_x[i+3] += scale * ((zbyte & 0x08) ? 0.0f : sw[3]);
                        grad_x[i+4] += scale * ((zbyte & 0x10) ? 0.0f : sw[4]);
                        grad_x[i+5] += scale * ((zbyte & 0x20) ? 0.0f : sw[5]);
                        grad_x[i+6] += scale * ((zbyte & 0x40) ? 0.0f : sw[6]);
                        grad_x[i+7] += scale * ((zbyte & 0x80) ? 0.0f : sw[7]);
                    }
                }
                for (int i = (in/8)*8; i < in; i++) {
                    uint64_t z = (zb[i/64] >> (i%64)) & 1;
                    uint64_t wbit = (wb[i/64] >> (i%64)) & 1;
                    grad_x[i] += scale * (z ? 0.0f : (wbit ? 1.0f : -1.0f));
                }
            } else if (g_use_pure_float) {
                /* Pure float: grad_x uses w_float directly (not sign) */
                float scale = gy;
                for (int i = 0; i + 7 < in; i += 8) {
                    grad_x[i+0] += scale * wf[i+0];
                    grad_x[i+1] += scale * wf[i+1];
                    grad_x[i+2] += scale * wf[i+2];
                    grad_x[i+3] += scale * wf[i+3];
                    grad_x[i+4] += scale * wf[i+4];
                    grad_x[i+5] += scale * wf[i+5];
                    grad_x[i+6] += scale * wf[i+6];
                    grad_x[i+7] += scale * wf[i+7];
                }
                for (int i = (in / 8) * 8; i < in; i++)
                    grad_x[i] += scale * wf[i];
            } else {
                /* BWN: grad_x uses sign(w_float) * alpha */
                float scale = gy * bl->alpha[j];
                for (int i = 0; i + 7 < in; i += 8) {
                    grad_x[i+0] += scale * (wf[i+0] > 0.0f ? 1.0f : -1.0f);
                    grad_x[i+1] += scale * (wf[i+1] > 0.0f ? 1.0f : -1.0f);
                    grad_x[i+2] += scale * (wf[i+2] > 0.0f ? 1.0f : -1.0f);
                    grad_x[i+3] += scale * (wf[i+3] > 0.0f ? 1.0f : -1.0f);
                    grad_x[i+4] += scale * (wf[i+4] > 0.0f ? 1.0f : -1.0f);
                    grad_x[i+5] += scale * (wf[i+5] > 0.0f ? 1.0f : -1.0f);
                    grad_x[i+6] += scale * (wf[i+6] > 0.0f ? 1.0f : -1.0f);
                    grad_x[i+7] += scale * (wf[i+7] > 0.0f ? 1.0f : -1.0f);
                }
                for (int i = (in / 8) * 8; i < in; i++)
                    grad_x[i] += scale * (wf[i] > 0.0f ? 1.0f : -1.0f);
            }
        }
    } else {
        /* No w_float — use popcount on existing wbits_T (original path) */
        int nw_T = bl->n_words_T;
        uint64_t gybits[64];
        for (int wi = 0; wi < nw_T; wi++) {
            uint64_t word = 0;
            for (int bi = 0; bi < 64; bi++) {
                int j = wi * 64 + bi;
                if (j < out && grad_y[j] > 0.0f) word |= (1ULL << bi);
            }
            gybits[wi] = word;
        }
        float mean_abs_gy = 0, mean_alpha = 0;
        for (int j = 0; j < out; j++) mean_abs_gy += fabsf(grad_y[j]);
        mean_abs_gy /= out;
        for (int j = 0; j < out; j++) mean_alpha += bl->alpha[j];
        mean_alpha /= out;
        for (int i = 0; i < in; i++) {
            int pc = 0;
            const uint64_t *wbT = &bl->wbits_T[i * nw_T];
            for (int wi = 0; wi < nw_T; wi++)
                pc += __builtin_popcountll(~(gybits[wi] ^ wbT[wi]));
            grad_x[i] = (float)(2 * pc - out) * mean_alpha * mean_abs_gy;
        }
    }

    /* Part 2: Gradient accumulation or STE update.
     * When g_accumulate_gradients is set (batch training), we accumulate
     * grad_y[j]*x[i] into grad_accum and grad_y[j] into bias_grad_accum
     * instead of updating weights. model_batch_apply() later applies the
     * accumulated (averaged) gradient with Adam. */
    if (g_accumulate_gradients && bl->grad_accum) {
        float *ga = (bl_slot >= 0) ? g_thr[g_cur_tid].grad_w[layer_idx][bl_slot] : bl->grad_accum;
        float *gba = (bl_slot >= 0) ? g_thr[g_cur_tid].grad_b[layer_idx][bl_slot] : bl->bias_grad_accum;
        int nw_gw = (in + 63) / 64;
        for (int j = 0; j < out; j++) {
            float gy = grad_y[j];
            if (fabsf(gy) < 1e-8f) continue;
            if (bl->logic_mask && bl->logic_mask[j] == 2) continue;
            float *ga_j = &ga[j * in];
            if (g_use_ternary && bl->zbits) {
                /* Ternary STE: dL/dw_float ~ gy * x * t(wf). The zero-mask makes
                 * zeroed weights receive no gradient (they're already at ternary 0).
                 * Use the packed wbits (same as forward) for the sign. */
                const uint64_t *zb = &bl->zbits[(size_t)j * nw_gw];
                const uint64_t *wb = &bl->wbits[(size_t)j * nw_gw];
                for (int i = 0; i + 7 < in; i += 8) {
                    uint8_t zbyte = (uint8_t)((zb[i/64] >> (i%64)) & 0xFF);
                    uint8_t wbyte = (uint8_t)((wb[i/64] >> (i%64)) & 0xFF);
                    const float *sw = g_sign_lut[wbyte];
                    if (zbyte == 0) {
                        ga_j[i+0] += gy * x[i+0] * sw[0]; ga_j[i+1] += gy * x[i+1] * sw[1];
                        ga_j[i+2] += gy * x[i+2] * sw[2]; ga_j[i+3] += gy * x[i+3] * sw[3];
                        ga_j[i+4] += gy * x[i+4] * sw[4]; ga_j[i+5] += gy * x[i+5] * sw[5];
                        ga_j[i+6] += gy * x[i+6] * sw[6]; ga_j[i+7] += gy * x[i+7] * sw[7];
                    } else {
                        ga_j[i+0] += gy * x[i+0] * ((zbyte & 0x01) ? 0.0f : sw[0]);
                        ga_j[i+1] += gy * x[i+1] * ((zbyte & 0x02) ? 0.0f : sw[1]);
                        ga_j[i+2] += gy * x[i+2] * ((zbyte & 0x04) ? 0.0f : sw[2]);
                        ga_j[i+3] += gy * x[i+3] * ((zbyte & 0x08) ? 0.0f : sw[3]);
                        ga_j[i+4] += gy * x[i+4] * ((zbyte & 0x10) ? 0.0f : sw[4]);
                        ga_j[i+5] += gy * x[i+5] * ((zbyte & 0x20) ? 0.0f : sw[5]);
                        ga_j[i+6] += gy * x[i+6] * ((zbyte & 0x40) ? 0.0f : sw[6]);
                        ga_j[i+7] += gy * x[i+7] * ((zbyte & 0x80) ? 0.0f : sw[7]);
                    }
                }
                for (int i = (in/8)*8; i < in; i++) {
                    uint64_t z = (zb[i/64] >> (i%64)) & 1;
                    uint64_t wbit = (wb[i/64] >> (i%64)) & 1;
                    ga_j[i] += gy * x[i] * (z ? 0.0f : (wbit ? 1.0f : -1.0f));
                }
            } else {
                for (int i = 0; i + 7 < in; i += 8) {
                    ga_j[i+0] += gy * x[i+0]; ga_j[i+1] += gy * x[i+1];
                    ga_j[i+2] += gy * x[i+2]; ga_j[i+3] += gy * x[i+3];
                    ga_j[i+4] += gy * x[i+4]; ga_j[i+5] += gy * x[i+5];
                    ga_j[i+6] += gy * x[i+6]; ga_j[i+7] += gy * x[i+7];
                }
                for (int i = (in / 8) * 8; i < in; i++)
                    ga_j[i] += gy * x[i];
            }
            gba[j] += gy;
        }
        return;  /* Don't update weights yet — wait for model_batch_apply */
    }

    /* Part 2: STE update — w_float[j*in + i] -= lr * grad_y[j] * x[i]
     * w_float is [out, in] (transposed), so w_float[j*in + i] is CONTIGUOUS in i!
     * This means the inner loop over i is a contiguous SAXPY: w_float[j] -= scale * x
     * The compiler auto-vectorizes this to SIMD FMA (8 floats per iteration).
     *
     * When g_use_adam is set, we use the Adam update instead of plain SGD:
     *   m[i] = b1*m[i] + (1-b1)*g       (1st moment)
     *   v[i] = b2*v[i] + (1-b2)*g*g     (2nd moment)
     *   w  -= lr * m_hat / (sqrt(v_hat) + eps)
     * where m_hat, v_hat are bias-corrected with g_opt_step+1. Adam dramatically
     * stabilizes STE on bit-space: per-param adaptive lr counters the
     * extreme gradient variance that causes SGD to mode-collapse to "servers". */
    if (bl->w_float) {
        int t = g_opt_step + 1;  /* Adam timestep (1-indexed) */
        float bc1 = 1.0f - powf(g_adam_beta1, (float)t);  /* bias correction 1 */
        float bc2 = 1.0f - powf(g_adam_beta2, (float)t);  /* bias correction 2 */
        for (int j = 0; j < out; j++) {
            float gy = grad_y[j];
            if (fabsf(gy) < 1e-8f) continue;
            /* Skip PRUNE rows — they're zeroed and contribute nothing. */
            if (bl->logic_mask && bl->logic_mask[j] == 2) continue;
            float *wf = &bl->w_float[j * in];  /* contiguous [in] */
            if (g_use_adam && bl->m_adam) {
                float *m = &bl->m_adam[j * in];
                float *v = &bl->v_adam[j * in];
                /* Adam: per-param adaptive update. 8x unrolled for SIMD. */
                for (int i = 0; i + 7 < in; i += 8) {
                    float g0 = gy * x[i+0], g1 = gy * x[i+1], g2 = gy * x[i+2], g3 = gy * x[i+3];
                    float g4 = gy * x[i+4], g5 = gy * x[i+5], g6 = gy * x[i+6], g7 = gy * x[i+7];
                    m[i+0] = g_adam_beta1*m[i+0] + (1.0f-g_adam_beta1)*g0;
                    m[i+1] = g_adam_beta1*m[i+1] + (1.0f-g_adam_beta1)*g1;
                    m[i+2] = g_adam_beta1*m[i+2] + (1.0f-g_adam_beta1)*g2;
                    m[i+3] = g_adam_beta1*m[i+3] + (1.0f-g_adam_beta1)*g3;
                    m[i+4] = g_adam_beta1*m[i+4] + (1.0f-g_adam_beta1)*g4;
                    m[i+5] = g_adam_beta1*m[i+5] + (1.0f-g_adam_beta1)*g5;
                    m[i+6] = g_adam_beta1*m[i+6] + (1.0f-g_adam_beta1)*g6;
                    m[i+7] = g_adam_beta1*m[i+7] + (1.0f-g_adam_beta1)*g7;
                    v[i+0] = g_adam_beta2*v[i+0] + (1.0f-g_adam_beta2)*g0*g0;
                    v[i+1] = g_adam_beta2*v[i+1] + (1.0f-g_adam_beta2)*g1*g1;
                    v[i+2] = g_adam_beta2*v[i+2] + (1.0f-g_adam_beta2)*g2*g2;
                    v[i+3] = g_adam_beta2*v[i+3] + (1.0f-g_adam_beta2)*g3*g3;
                    v[i+4] = g_adam_beta2*v[i+4] + (1.0f-g_adam_beta2)*g4*g4;
                    v[i+5] = g_adam_beta2*v[i+5] + (1.0f-g_adam_beta2)*g5*g5;
                    v[i+6] = g_adam_beta2*v[i+6] + (1.0f-g_adam_beta2)*g6*g6;
                    v[i+7] = g_adam_beta2*v[i+7] + (1.0f-g_adam_beta2)*g7*g7;
                    float mh0=m[i+0]/bc1, mh1=m[i+1]/bc1, mh2=m[i+2]/bc1, mh3=m[i+3]/bc1;
                    float mh4=m[i+4]/bc1, mh5=m[i+5]/bc1, mh6=m[i+6]/bc1, mh7=m[i+7]/bc1;
                    float vh0=sqrtf(v[i+0]/bc2)+g_adam_eps, vh1=sqrtf(v[i+1]/bc2)+g_adam_eps;
                    float vh2=sqrtf(v[i+2]/bc2)+g_adam_eps, vh3=sqrtf(v[i+3]/bc2)+g_adam_eps;
                    float vh4=sqrtf(v[i+4]/bc2)+g_adam_eps, vh5=sqrtf(v[i+5]/bc2)+g_adam_eps;
                    float vh6=sqrtf(v[i+6]/bc2)+g_adam_eps, vh7=sqrtf(v[i+7]/bc2)+g_adam_eps;
                    wf[i+0] -= lr * mh0/vh0; wf[i+1] -= lr * mh1/vh1;
                    wf[i+2] -= lr * mh2/vh2; wf[i+3] -= lr * mh3/vh3;
                    wf[i+4] -= lr * mh4/vh4; wf[i+5] -= lr * mh5/vh5;
                    wf[i+6] -= lr * mh6/vh6; wf[i+7] -= lr * mh7/vh7;
                }
                for (int i = (in / 8) * 8; i < in; i++) {
                    float g = gy * x[i];
                    m[i] = g_adam_beta1*m[i] + (1.0f-g_adam_beta1)*g;
                    v[i] = g_adam_beta2*v[i] + (1.0f-g_adam_beta2)*g*g;
                    wf[i] -= lr * (m[i]/bc1) / (sqrtf(v[i]/bc2) + g_adam_eps);
                }
            } else {
                /* SGD: wf[i] -= lr * gy * x[i] (original path). */
                float scale = lr * gy;
                for (int i = 0; i + 7 < in; i += 8) {
                    wf[i+0] -= scale * x[i+0]; wf[i+1] -= scale * x[i+1];
                    wf[i+2] -= scale * x[i+2]; wf[i+3] -= scale * x[i+3];
                    wf[i+4] -= scale * x[i+4]; wf[i+5] -= scale * x[i+5];
                    wf[i+6] -= scale * x[i+6]; wf[i+7] -= scale * x[i+7];
                }
                for (int i = (in / 8) * 8; i < in; i++)
                    wf[i] -= scale * x[i];
            }
            /* Update bias (SGD always — bias is a scalar, Adam benefit marginal). */
            bl->bias[j] -= lr * gy;
        }
        /* Weight clipping: bound w_float to [-W_CLIP, W_CLIP].
         * Standard technique for BWN training (cf. XNOR-Net, Real-to-Binary
         * Networks). Prevents w_float from drifting to extreme values where
         * Adam's adaptive update becomes numerically unstable and sign(w)
         * starts flipping chaotically. The bound [-1, 1] is natural because
         * alpha = mean(|w|) is in [0, 1] for typical GPT-2 weight rows.
         * Without this, STE+Adam diverges to NaN around step 400-850. */
        if (!g_use_pure_float) {
            #define W_CLIP 1.0f
            for (int i = 0; i < in * out; i++) {
                float w = bl->w_float[i];
                if (w > W_CLIP) bl->w_float[i] = W_CLIP;
                else if (w < -W_CLIP) bl->w_float[i] = -W_CLIP;
            }
            /* Re-pack binary weights from updated (and clipped) w_float */
            bin_layer_repack(bl);
        } else {
            /* Pure float: clip to larger bound to prevent gradient explosion */
            #define W_CLIP_FLOAT 2.0f
            for (int i = 0; i < in * out; i++) {
                float w = bl->w_float[i];
                if (w > W_CLIP_FLOAT) bl->w_float[i] = W_CLIP_FLOAT;
                else if (w < -W_CLIP_FLOAT) bl->w_float[i] = -W_CLIP_FLOAT;
            }
        }
        /* Ternary: refresh zbits (zero mask) from updated |w_float| vs Δ.
         * This is the TWN STE dynamic — zeroed weights that received enough
         * gradient to cross Δ "wake up" (become ±1), and active weights whose
         * |w| dropped below Δ get zeroed. alpha is also recomputed over the
         * new active set. Skipped automatically if zbits is NULL (BWN mode). */
        if (bl->zbits) bin_layer_repack_ternary(bl);
    } else {
        /* No w_float — fall back to alpha-only update */
        float mean_abs_x = 0;
        for (int i = 0; i < in; i++) mean_abs_x += fabsf(x[i]);
        mean_abs_x /= in;
        uint64_t xbits[64];
        for (int wi = 0; wi < bl->n_words; wi++) {
            uint64_t word = 0;
            for (int bi = 0; bi < 64; bi++) {
                int idx = wi * 64 + bi;
                if (idx < in && x[idx] > 0.0f) word |= (1ULL << bi);
            }
            xbits[wi] = word;
        }
        for (int j = 0; j < out; j++) {
            float gy = grad_y[j];
            if (fabsf(gy) < 1e-6f) continue;
            int pc = 0;
            const uint64_t *wb = &bl->wbits[j * bl->n_words];
            for (int wi = 0; wi < bl->n_words; wi++)
                pc += __builtin_popcountll(~(xbits[wi] ^ wb[wi]));
            float grad_alpha = (float)(2 * pc - in) * mean_abs_x;
            bl->alpha[j] -= lr * grad_alpha * gy;   /* FIXED: direction + no /in */
            if (bl->alpha[j] < 0.0f) bl->alpha[j] = 0.0f;
            bl->bias[j] -= lr * gy;
        }
    }
}

/* ========================================================================
 * Standard Neural Network Operations
 * ======================================================================== */
void layer_norm(float *out, const float *x, const float *w, const float *b, int n) {
    float mean = 0;
    for (int i = 0; i < n; i++) mean += x[i];
    mean /= n;
    float var = 0;
    for (int i = 0; i < n; i++) { float d = x[i] - mean; var += d * d; }
    var /= n;
    float is = 1.0f / sqrtf(var + 1e-5f);
    for (int i = 0; i < n; i++) out[i] = (x[i] - mean) * is * w[i] + b[i];
}

void layer_norm_backward(float *grad_x, const float *grad_y, const float *x,
                         const float *w, float mean, float std_inv, int n,
                         float *grad_w, float *grad_b) {
    float sum_grad = 0;
    for (int i = 0; i < n; i++) sum_grad += grad_y[i] * w[i] * (x[i] - mean);
    float common = std_inv / n * sum_grad;
    float scale = (1.0f - 1.0f / n);
    for (int i = 0; i < n; i++) {
        grad_x[i] = grad_y[i] * w[i] * std_inv * scale - common;
        if (grad_w) grad_w[i] += grad_y[i] * (x[i] - mean) * std_inv;
        if (grad_b) grad_b[i] += grad_y[i];
    }
}

float gelu(float x) {
    return 0.5f * x * (1.0f + tanhf(0.7978845608f * (x + 0.044715f * x * x * x)));
}

float gelu_grad(float x) {
    float inner = 0.7978845608f * (x + 0.044715f * x * x * x);
    float t = tanhf(inner);
    return 0.5f * (1.0f + t) + 0.5f * x * (1.0f - t * t) * 0.7978845608f * (1.0f + 0.134145f * x * x);
}

void softmax(float *x, int n) {
    float mx = x[0];
    for (int i = 1; i < n; i++) if (x[i] > mx) mx = x[i];
    float sum = 0;
    for (int i = 0; i < n; i++) { x[i] = expf(x[i] - mx); sum += x[i]; }
    for (int i = 0; i < n; i++) x[i] /= sum;
}

float cross_entropy_sampled(const float *hidden, const float *wte,
                            int target, int vocab_size, int n_embd,
                            int n_samples, unsigned int *seed) {
    float tl = 0;
    for (int i = 0; i < n_embd; i++) tl += hidden[i] * wte[target * n_embd + i];
    float mx = tl;
    float neg[256];
    for (int k = 0; k < n_samples && k < 256; k++) {
        int v = rand_r(seed) % vocab_size;
        float s = 0;
        for (int i = 0; i < n_embd; i++) s += hidden[i] * wte[v * n_embd + i];
        neg[k] = s;
        if (s > mx) mx = s;
    }
    float se = expf(tl - mx);
    for (int k = 0; k < n_samples && k < 256; k++) se += expf(neg[k] - mx);
    return -logf(expf(tl - mx) / se + 1e-7f);
}

void cross_entropy_grad(float *grad_hidden, const float *hidden, const float *wte,
                        int target, int vocab_size, int n_embd,
                        int n_samples, unsigned int *seed) {
    /* Sampled-softmax cross-entropy gradient.
     *
     * Loss:  L = -log( exp(tl) / (exp(tl) + sum_k exp(neg_k)) )
     *            = -log( prob ),   prob = exp(tl-mx) / (exp(tl-mx) + sum_k exp(neg_k-mx))
     *
     * Gradient w.r.t. hidden[i] (treating sampled negatives as constants —
     * standard sampled-softmax approximation, drops the second-order term
     * sum_k prob_k * wte[k, i]):
     *
     *   dL/d(hidden[i]) = dL/d(tl) * d(tl)/d(hidden[i])
     *                   = -(1 - prob) * wte[target, i]
     *
     * ---------------------------------------------------------------------
     * BUGFIX (gibberish-output root cause):
     *
     * The previous implementation returned
     *
     *     grad_hidden[i] = +(1 - prob) * wte[target, i] * 0.001f
     *
     * which had THREE bugs that together made binary training diverge into
     * mode-collapse / gibberish:
     *
     *   (1) WRONG SIGN. Returned +grad instead of -grad. Combined with the
     *       optimizer's `w -= lr * grad`, this flipped descent into ascent
     *       on -log(p_target): the model was trained to *lower* p_target,
     *       i.e. to actively avoid predicting the correct token. After a few
     *       hundred steps the logits collapse and generation produces
     *       constant-token gibberish.
     *
     *   (2) grad_scale = 0.001f shrank the learning signal by 1000x. Even
     *       after fixing the sign, with lr=0.05 the effective step on
     *       `hidden` was 5e-5 — far too small to escape random init in any
     *       reasonable number of steps. Removed.
     *
     *   (3) `se += 1.0f` per sampled negative (instead of the true
     *       exp(neg_k - mx)) inflated the denominator systematically,
     *       forcing prob -> 0 and (1-prob) -> 1, which (combined with the
     *       wrong sign) made every step push hidden AWAY from wte[target]
     *       at maximum magnitude. Now we use the actual exp(neg_k - mx).
     * ---------------------------------------------------------------------
     */
    float tl = 0;
    for (int i = 0; i < n_embd; i++) tl += hidden[i] * wte[target * n_embd + i];

    /* Sample negatives and remember their logits so we can build the
     * correct softmax denominator. Cap at 256 to keep the stack buffer
     * bounded (n_samples=100 in practice). */
    float neg[256];
    int actual = n_samples < 256 ? n_samples : 256;
    float mx = tl;
    for (int k = 0; k < actual; k++) {
        int v = rand_r(seed) % vocab_size;
        float s = 0;
        for (int i = 0; i < n_embd; i++) s += hidden[i] * wte[v * n_embd + i];
        neg[k] = s;
        if (s > mx) mx = s;
    }

    float se = expf(tl - mx);
    for (int k = 0; k < actual; k++) se += expf(neg[k] - mx);

    /* prob = P(target) under the sampled softmax. +1e-7f guards against
     * logf(0) in the caller (cross_entropy_sampled) and div-by-zero here. */
    float prob = expf(tl - mx) / (se + 1e-7f);

    /* Correct gradient of L = -log(prob) w.r.t. hidden[i].
     * Optimizer does `w -= lr * grad`, so a NEGATIVE grad here means
     * hidden moves TOWARD wte[target], which INCREASES prob and
     * DECREASES loss — i.e. true gradient descent. */
    float coef = -(1.0f - prob);
    const float *wt = &wte[target * n_embd];
    for (int i = 0; i < n_embd; i++)
        grad_hidden[i] = coef * wt[i];
}

void clip_array(float *x, int n, float clip_val) {
    for (int i = 0; i < n; i++) {
        if (x[i] > clip_val) x[i] = clip_val;
        if (x[i] < -clip_val) x[i] = -clip_val;
    }
}

/* BUG #48 FIX: Normalize residual stream ||x|| to target_norm.
 * The residual stream accumulates: x = wte + sum(attn_residual + mlp_residual).
 * With residual_scale=1.0 and 8+ layers, ||x|| grows from ~1 (L0) to ~210 (L7).
 * This causes logits = dot(final_ln, wte) to explode, making sampling degenerate.
 *
 * LayerNorm normalizes the INPUT to each sublayer, but NOT the residual x itself.
 * So x grows unboundedly between layers (or collapses to near-zero).
 *
 * Fix: after each residual addition, scale x so ||x|| ≈ target_norm.
 * This is similar to "RMSNorm on residual stream" used in some architectures.
 *
 * v13m: CRITICAL FIX — previously only capped at target_norm (6.0), never
 * boosted. Since ||x|| starts at ~3.5 (below 6.0) and shrinks ~25% per
 * layer due to binary projections, normalize_residual NEVER fired, creating
 * a death spiral: ||x|| 3.54 → 2.64 → 1.95 → 1.46 → ... → 0.76.
 * The proportional scaling (0.15*||x||) amplified this: as ||x|| shrank,
 * attention/MLP contributions shrank too, unable to maintain signal.
 *
 * Fix: enforce BOTH minimum and maximum. If ||x|| < target_min, scale UP
 * to target_min. If ||x|| > target_max, scale DOWN to target_max.
 * This keeps the residual in a healthy range [3.0, 6.0] across all layers. */
void normalize_residual(float *x, int n, float target_norm) {
    float norm_sq = 0;
    for (int i = 0; i < n; i++) norm_sq += x[i] * x[i];
    float norm = sqrtf(norm_sq) + 1e-8f;
    /* v16: 移除放大分支 — 白盒: 放大操作把共模方向等比放大, 逐层推高相似度. 只保留向下封顶 */
    if (norm > target_norm) {
        float scale = target_norm / norm;
        for (int i = 0; i < n; i++) x[i] *= scale;
    }
}

/* v13b: Scale a sublayer output to a small target norm before adding to
 * the residual stream. This makes attn/mlp outputs small perturbations
 * rather than dominant signals, preventing representation collapse.
 *
 * Without this, ||proj_out|| ~ 27 (since norm1_out has ||.||~24 from
 * LayerNorm over 512 dims), while ||x|| ~ 1.8 (embedding). The sublayer
 * output completely overwrites the residual direction, causing all inputs
 * to converge to the same representation after 1-2 layers.
 *
 * With target_norm=0.3, the sublayer contributes a 0.3-magnitude
 * perturbation on top of the ~1.0-norm residual, preserving input
 * diversity while still allowing the model to transform representations. */
void scale_to_norm(float *v, int n, float target_norm) {
    float norm_sq = 0;
    for (int i = 0; i < n; i++) norm_sq += v[i] * v[i];
    float norm = sqrtf(norm_sq) + 1e-8f;
    float scale = target_norm / norm;
    for (int i = 0; i < n; i++) v[i] *= scale;
}

/* ========================================================================
 * Full-vocab softmax cross-entropy (replaces sampled softmax for training)
 *
 * The sampled-softmax path (cross_entropy_sampled / cross_entropy_grad)
 * uses 100 random negatives per step. When the training data is heavily
 * skewed (91% of sentences end in token 764='.'), the model can trivially
 * win against 100 random negatives by always outputting 764 — collapsing
 * to a single-token predictor. The full-softmax path computes the true
 * gradient over all 50257 vocab tokens, so the model is forced to actually
 * learn the distribution (token 764 gets probability mass only when the
 * context genuinely predicts it).
 *
 * Cost: 50257 * 768 = ~38M FMA per forward, ~76M per backward. Negligible
 * vs the per-layer binary matmul (12 layers * ~3M FMA = 36M).
 * ======================================================================== */

static void compute_full_logits(const float *hidden, const float *wte,
                                float *logits_out, int vocab, int n_embd) {
    #pragma omp parallel for schedule(static)
    for (int j = 0; j < vocab; j++) {
        const float *w = &wte[(size_t)j * n_embd];
        float s = 0;
        for (int i = 0; i + 7 < n_embd; i += 8)
            s += hidden[i+0]*w[i+0] + hidden[i+1]*w[i+1]
               + hidden[i+2]*w[i+2] + hidden[i+3]*w[i+3]
               + hidden[i+4]*w[i+4] + hidden[i+5]*w[i+5]
               + hidden[i+6]*w[i+6] + hidden[i+7]*w[i+7];
        for (int i = (n_embd/8)*8; i < n_embd; i++) s += hidden[i] * w[i];
        logits_out[j] = s * g_logit_scale;  /* v16 */
    }
}

float cross_entropy_full(const float *hidden, const float *wte,
                         int target, int vocab_size, int n_embd,
                         float *logits_scratch) {
    compute_full_logits(hidden, wte, logits_scratch, vocab_size, n_embd);
    /* numerically stable softmax + cross-entropy */
    float mx = logits_scratch[0];
    for (int j = 1; j < vocab_size; j++)
        if (logits_scratch[j] > mx) mx = logits_scratch[j];
    float sum = 0;
    for (int j = 0; j < vocab_size; j++) {
        logits_scratch[j] = expf(logits_scratch[j] - mx);
        sum += logits_scratch[j];
    }
    /* logits_scratch now holds softmax probabilities; loss = -log(p_target) */
    float p_target = logits_scratch[target] / sum;
    return -logf(p_target + 1e-12f);
}

void cross_entropy_full_grad(float *grad_hidden, const float *hidden, const float *wte,
                             int target, int vocab_size, int n_embd,
                             float *logits_scratch) {
    /* grad_hidden[i] = (softmax(logits)[target_or_not] - one_hot[target]) * wte[i]
     *                 = (p[j] - 1{j==target}) * wte[j, i]   summed over j.
     *
     * Equivalent to: grad_hidden = wte[target] - sum_j p[j] * wte[j]
     * But computing it as  wte[target] - sum_j p[j]*wte[j]  is O(vocab*n_embd)
     * and avoids materializing a per-(j,i) gradient.
     *
     * logits_scratch must already hold the softmax probabilities from
     * cross_entropy_full (caller reuses it to avoid recomputing logits). */
    /* Start with wte[target] (the +1 in dL/d_logit = p - one_hot, multiplied
     * by -1 because we want dL/d_hidden, and the chain rule gives a negative
     * sign through the loss). Actually:
     *   L = -log(p_target),  p = softmax(logits),  logits[j] = hidden . wte[j]
     *   dL/d_logits[j] = p[j] - 1{j==target}
     *   dL/d_hidden[i] = sum_j (p[j] - 1{j==target}) * wte[j, i]
     *                  = sum_j p[j]*wte[j,i] - wte[target, i]
     * The optimizer does w -= lr * grad, so we return dL/d_hidden directly.
     * (Previously the sign bug was here; now correct.) */
    const float *wt_target = &wte[(size_t)target * n_embd];
    for (int i = 0; i < n_embd; i++)
        grad_hidden[i] = -wt_target[i];

    /* Add sum_j p[j] * wte[j, i]. p[j] is in logits_scratch (already
     * normalized to sum=1 by cross_entropy_full, but we re-normalize
     * defensively in case the caller passed un-normalized logits). */
    float psum = 0;
    for (int j = 0; j < vocab_size; j++) psum += logits_scratch[j];
    float inv_psum = 1.0f / (psum + 1e-12f);

    /* CE backward: 串行 (每步调用 12 次, per-thread partials 的 memset+combine
     * 开销 > 并行收益. 串行更稳定, 无 NaN 风险.) */
    for (int j = 0; j < vocab_size; j++) {
        float p = logits_scratch[j] * inv_psum;
        if (p < 1e-7f) continue;
        const float *w = &wte[(size_t)j * n_embd];
        float coef = p;
        for (int i = 0; i + 7 < n_embd; i += 8) {
            grad_hidden[i+0] += coef * w[i+0]; grad_hidden[i+1] += coef * w[i+1];
            grad_hidden[i+2] += coef * w[i+2]; grad_hidden[i+3] += coef * w[i+3];
            grad_hidden[i+4] += coef * w[i+4]; grad_hidden[i+5] += coef * w[i+5];
            grad_hidden[i+6] += coef * w[i+6]; grad_hidden[i+7] += coef * w[i+7];
        }
        for (int i = (n_embd/8)*8; i < n_embd; i++)
            grad_hidden[i] += coef * w[i];
    }
    /* v16: logits 缩放了 g_logit_scale, 梯度按链式法则同乘 */
    if (g_logit_scale != 1.0f)
        for (int i = 0; i < n_embd; i++) grad_hidden[i] *= g_logit_scale;
}

void compute_mean_std(const float *x, int n, float *mean, float *std_inv) {
    float m = 0;
    for (int i = 0; i < n; i++) m += x[i];
    m /= n;
    float var = 0;
    for (int i = 0; i < n; i++) { float d = x[i] - m; var += d * d; }
    var /= n;
    *mean = m;
    *std_inv = 1.0f / sqrtf(var + 1e-5f);
}

/* ========================================================================
 * Tensor File Loading (GPW2 format)
 * ======================================================================== */
Tensor *tensor_load_all(const char *path, int *n_tensors) {
    FILE *f = fopen(path, "rb");
    if (!f) { fprintf(stderr, "cannot open %s\n", path); return NULL; }
    char magic[4];
    fread(magic, 1, 4, f);
    if (memcmp(magic, "GPW2", 4) != 0) { fprintf(stderr, "bad magic\n"); fclose(f); return NULL; }
    fread(n_tensors, 4, 1, f);
    Tensor *t = calloc(*n_tensors, sizeof(Tensor));
    for (int i = 0; i < *n_tensors; i++) {
        int klen;
        fread(&klen, 4, 1, f);
        fread(t[i].key, 1, klen, f);
        t[i].key[klen] = '\0';
        fread(&t[i].ndim, 4, 1, f);
        int n = 1;
        for (int d = 0; d < t[i].ndim; d++) {
            fread(&t[i].shape[d], 4, 1, f);
            n *= t[i].shape[d];
        }
        t[i].data = malloc(n * sizeof(float));
        fread(t[i].data, 4, n, f);
    }
    fclose(f);
    return t;
}

float *tensor_get(Tensor *tensors, int n, const char *key) {
    for (int i = 0; i < n; i++)
        if (strcmp(tensors[i].key, key) == 0) return tensors[i].data;
    fprintf(stderr, "tensor not found: %s\n", key);
    return NULL;
}

void tensor_free_all(Tensor *tensors, int n) {
    for (int i = 0; i < n; i++) free(tensors[i].data);
    free(tensors);
}

/* Free a single tensor's data by key (sets data to NULL so tensor_free_all
 * won't double-free). Used to reclaim memory from large weight matrices
 * after they've been binarized into BinLayer. */
void tensor_free_data_by_key(Tensor *tensors, int n, const char *key) {
    for (int i = 0; i < n; i++) {
        if (tensors[i].data && strcmp(tensors[i].key, key) == 0) {
            free(tensors[i].data);
            tensors[i].data = NULL;
            return;
        }
    }
}

/* mmap-based tensor loader: maps the GPW2 file into memory and points
 * each tensor->data at the corresponding offset. The OS pages in data
 * on demand, so startup is ~10x faster on cold cache and peak RSS is
 * lower (only touched pages count).
 *
 * Trade-off: cannot free individual tensors (they live in the mmap region),
 * so the free-float-weights optimization is disabled in mmap mode. Use
 * this when startup time matters more than steady-state RSS.
 *
 * The returned Tensor array must be freed with tensor_free_all_mmap(). */
/* sys/mman.h and sys/stat.h are included at the top (with Windows shims) */
#ifndef _WIN32
#include <sys/mman.h>
#include <sys/stat.h>
#endif
#include <fcntl.h>
#ifndef _WIN32
#include <unistd.h>
#else
/* Windows: open/close/read lseek shims via _io.h */
#define open _open
#define close _close
#define read _read
#define lseek _lseek
#define O_RDONLY _O_RDONLY
#endif

typedef struct {
    Tensor *tensors;
    int n_tensors;
    void *mmap_base;   /* the mmap'd region, for munmap later */
    size_t mmap_size;
    int fd;
} MmapedTensors;

static MmapedTensors g_mmap_state = {NULL, 0, NULL, 0, -1};

/* ========================================================================
 * Random-weight GPW2 generator — train an arbitrary-size model from scratch
 * (no pretrained checkpoint needed). Writes Gaussian-init weights in the same
 * "GPW2" layout that tensor_load_all / model_load expect, for any ModelConfig.
 * Keys follow the GPT-2 (qkv_merged) or LLaMA (separate Q/K/V, SwiGLU) layout
 * selected by cfg.qkv_merged / cfg.act_type.
 * ======================================================================== */
#ifndef M_PI
#define M_PI 3.14159265358979323846f
#endif
typedef struct { char key[64]; int ndim; int shape[4]; } TEntry;
static float bin_randn(void) {
    static int has = 0; static float spare = 0.0f;
    if (has) { has = 0; return spare; }
    float u = (rand() + 1.0f) / (RAND_MAX + 2.0f);
    float v = (rand() + 1.0f) / (RAND_MAX + 2.0f);
    float mag = sqrtf(-2.0f * logf(u));
    spare = mag * sinf(2.0f * M_PI * v); has = 1;
    return mag * cosf(2.0f * M_PI * v);
}
static void bin_push(TEntry **E, int *cnt, const char *key, int ndim, int s0, int s1, int s2, int s3) {
    TEntry *e = &(*E)[(*cnt)++];
    strncpy(e->key, key, sizeof(e->key) - 1); e->key[sizeof(e->key) - 1] = '\0';
    e->ndim = ndim; e->shape[0] = s0; e->shape[1] = s1; e->shape[2] = s2; e->shape[3] = s3;
}
static void bin_gpw2_put(FILE *f, const char *key, int ndim, const int *shape) {
    int klen = (int)strlen(key), n = 1;
    for (int d = 0; d < ndim; d++) n *= shape[d];
    fwrite(&klen, 4, 1, f); fwrite(key, 1, (size_t)klen, f);
    fwrite(&ndim, 4, 1, f);
    for (int d = 0; d < ndim; d++) fwrite(&shape[d], 4, 1, f);
    for (int i = 0; i < n; i++) { float g = bin_randn() * 0.02f; fwrite(&g, 4, 1, f); }
}
/* Write a tensor with custom initialization to GPW2 file */
static void bin_gpw2_put_init(FILE *f, const char *key, int ndim, const int *shape, float scale, int init_mode) {
    /* init_mode: 0 = N(0, scale), 1 = constant scale, 2 = zeros, 3 = Xavier(sqrt(2/fan_in)) */
    int klen = (int)strlen(key), n = 1;
    for (int d = 0; d < ndim; d++) n *= shape[d];
    fwrite(&klen, 4, 1, f); fwrite(key, 1, (size_t)klen, f);
    fwrite(&ndim, 4, 1, f);
    for (int d = 0; d < ndim; d++) fwrite(&shape[d], 4, 1, f);
    if (init_mode == 1) {
        /* constant value (for LayerNorm weight = 1.0) */
        for (int i = 0; i < n; i++) fwrite(&scale, 4, 1, f);
    } else if (init_mode == 2) {
        /* zeros (for biases) */
        float z = 0.0f;
        for (int i = 0; i < n; i++) fwrite(&z, 4, 1, f);
    } else if (init_mode == 3) {
        /* Xavier/He: std = sqrt(2.0 / fan_in) for ReLU/GELU, fan_in = shape[ndim-1] */
        float fan_in = (float)shape[ndim - 1];
        float std_val = sqrtf(2.0f / fan_in);
        for (int i = 0; i < n; i++) { float g = bin_randn() * std_val; fwrite(&g, 4, 1, f); }
    } else {
        /* Normal(0, scale) */
        for (int i = 0; i < n; i++) { float g = bin_randn() * scale; fwrite(&g, 4, 1, f); }
    }
}

void gen_random_gpw2(const char *path, ModelConfig cfg) {
    int n = cfg.n_embd, m = cfg.mlp_dim, V = cfg.vocab_size, C = cfg.n_ctx;
    int cnt = 0; char kb[64];
    FILE *f = fopen(path, "wb");
    if (!f) { fprintf(stderr, "gen_random_gpw2: cannot write %s\n", path); exit(1); }

    /* Count tensors: base(4) + per_layer depends on config */
    int per_layer;
    if (cfg.qkv_merged) {
        per_layer = (cfg.act_type == ACT_SWIGLU) ? 11 : 12;
    } else {
        per_layer = 9;  /* q/k/v/o + gate/up/down + 2 layernorms */
    }
    int n_tensors = 4 + cfg.n_layer * per_layer;

    fwrite("GPW2", 1, 4, f);
    fwrite(&n_tensors, 4, 1, f);

    /* Embeddings: N(0, 1/sqrt(n_embd)) for proper scale */
    float emb_scale = 1.0f / sqrtf((float)n);
    bin_gpw2_put_init(f, "wte.weight", 2, (int[]){V, n}, emb_scale, 0);
    if (cfg.attn_type == ATTN_LEARNED)
        bin_gpw2_put_init(f, "wpe.weight", 2, (int[]){C, n}, emb_scale, 0);

    /* Final LayerNorm: weight=1.0, bias=0.0 (CRITICAL for convergence) */
    bin_gpw2_put_init(f, "ln_f.weight", 1, (int[]){n}, 1.0f, 1);
    bin_gpw2_put_init(f, "ln_f.bias", 1, (int[]){n}, 0.0f, 2);

    for (int l = 0; l < cfg.n_layer; l++) {
        if (cfg.qkv_merged) {
            /* Weight matrices: Xavier init (large enough for meaningful alpha after binarization) */
            snprintf(kb, sizeof kb, "h.%d.attn.c_attn.weight", l);
            bin_gpw2_put_init(f, kb, 2, (int[]){3*n, n}, 0.0f, 3);
            snprintf(kb, sizeof kb, "h.%d.attn.c_attn.bias", l);
            bin_gpw2_put_init(f, kb, 1, (int[]){3*n}, 0.0f, 2);
            snprintf(kb, sizeof kb, "h.%d.attn.c_proj.weight", l);
            bin_gpw2_put_init(f, kb, 2, (int[]){n, n}, 0.0f, 3);
            snprintf(kb, sizeof kb, "h.%d.attn.c_proj.bias", l);
            bin_gpw2_put_init(f, kb, 1, (int[]){n}, 0.0f, 2);
            if (cfg.act_type == ACT_SWIGLU) {
                snprintf(kb, sizeof kb, "h.%d.mlp.gate_proj.weight", l);
                bin_gpw2_put_init(f, kb, 2, (int[]){m, n}, 0.0f, 3);
                snprintf(kb, sizeof kb, "h.%d.mlp.up_proj.weight", l);
                bin_gpw2_put_init(f, kb, 2, (int[]){m, n}, 0.0f, 3);
                snprintf(kb, sizeof kb, "h.%d.mlp.down_proj.weight", l);
                bin_gpw2_put_init(f, kb, 2, (int[]){n, m}, 0.0f, 3);
            } else {
                snprintf(kb, sizeof kb, "h.%d.mlp.c_fc.weight", l);
                bin_gpw2_put_init(f, kb, 2, (int[]){m, n}, 0.0f, 3);
                snprintf(kb, sizeof kb, "h.%d.mlp.c_fc.bias", l);
                bin_gpw2_put_init(f, kb, 1, (int[]){m}, 0.0f, 2);
                snprintf(kb, sizeof kb, "h.%d.mlp.c_proj.weight", l);
                bin_gpw2_put_init(f, kb, 2, (int[]){n, m}, 0.0f, 3);
                snprintf(kb, sizeof kb, "h.%d.mlp.c_proj.bias", l);
                bin_gpw2_put_init(f, kb, 1, (int[]){n}, 0.0f, 2);
            }
            /* LayerNorm: weight=1.0, bias=0.0 */
            snprintf(kb, sizeof kb, "h.%d.ln_1.weight", l);
            bin_gpw2_put_init(f, kb, 1, (int[]){n}, 1.0f, 1);
            snprintf(kb, sizeof kb, "h.%d.ln_1.bias", l);
            bin_gpw2_put_init(f, kb, 1, (int[]){n}, 0.0f, 2);
            snprintf(kb, sizeof kb, "h.%d.ln_2.weight", l);
            bin_gpw2_put_init(f, kb, 1, (int[]){n}, 1.0f, 1);
            snprintf(kb, sizeof kb, "h.%d.ln_2.bias", l);
            bin_gpw2_put_init(f, kb, 1, (int[]){n}, 0.0f, 2);
        } else {
            snprintf(kb, sizeof kb, "model.layers.%d.self_attn.q_proj.weight", l);
            bin_gpw2_put_init(f, kb, 2, (int[]){n, n}, 0.0f, 3);
            snprintf(kb, sizeof kb, "model.layers.%d.self_attn.k_proj.weight", l);
            bin_gpw2_put_init(f, kb, 2, (int[]){n, n}, 0.0f, 3);
            snprintf(kb, sizeof kb, "model.layers.%d.self_attn.v_proj.weight", l);
            bin_gpw2_put_init(f, kb, 2, (int[]){n, n}, 0.0f, 3);
            snprintf(kb, sizeof kb, "model.layers.%d.self_attn.o_proj.weight", l);
            bin_gpw2_put_init(f, kb, 2, (int[]){n, n}, 0.0f, 3);
            snprintf(kb, sizeof kb, "model.layers.%d.mlp.gate_proj.weight", l);
            bin_gpw2_put_init(f, kb, 2, (int[]){m, n}, 0.0f, 3);
            snprintf(kb, sizeof kb, "model.layers.%d.mlp.up_proj.weight", l);
            bin_gpw2_put_init(f, kb, 2, (int[]){m, n}, 0.0f, 3);
            snprintf(kb, sizeof kb, "model.layers.%d.mlp.down_proj.weight", l);
            bin_gpw2_put_init(f, kb, 2, (int[]){n, m}, 0.0f, 3);
            snprintf(kb, sizeof kb, "model.layers.%d.input_layernorm.weight", l);
            bin_gpw2_put_init(f, kb, 1, (int[]){n}, 1.0f, 1);
            snprintf(kb, sizeof kb, "model.layers.%d.post_attention_layernorm.weight", l);
            bin_gpw2_put_init(f, kb, 1, (int[]){n}, 1.0f, 1);
        }
        cnt++;
    }
    fclose(f);
    printf("[*] generated random weights (Xavier init, LN=1.0): %d tensors -> %s\n", n_tensors, path);
}

Tensor *tensor_load_all_mmap(const char *path, int *n_tensors) {
    int fd = open(path, O_RDONLY);
    if (fd < 0) { fprintf(stderr, "cannot open %s\n", path); return NULL; }
    struct stat st;
    if (fstat(fd, &st) < 0) { fprintf(stderr, "fstat failed\n"); close(fd); return NULL; }
    size_t file_size = st.st_size;
    void *base = mmap(NULL, file_size, PROT_READ, MAP_PRIVATE, fd, 0);
    if (base == MAP_FAILED) { fprintf(stderr, "mmap failed\n"); close(fd); return NULL; }

    const unsigned char *p = (const unsigned char *)base;
    if (memcmp(p, "GPW2", 4) != 0) { fprintf(stderr, "bad magic\n"); munmap(base, file_size); close(fd); return NULL; }
    p += 4;
    int n = *(const int *)p; p += 4;
    *n_tensors = n;
    Tensor *t = calloc(n, sizeof(Tensor));
    for (int i = 0; i < n; i++) {
        int klen = *(const int *)p; p += 4;
        memcpy(t[i].key, p, klen); t[i].key[klen] = '\0'; p += klen;
        t[i].ndim = *(const int *)p; p += 4;
        int sz = 1;
        for (int d = 0; d < t[i].ndim; d++) {
            t[i].shape[d] = *(const int *)p; p += 4;
            sz *= t[i].shape[d];
        }
        /* Point data at the mmap'd region (no copy) */
        t[i].data = (float *)p;
        p += sz * sizeof(float);
    }
    g_mmap_state.tensors = t;
    g_mmap_state.n_tensors = n;
    g_mmap_state.mmap_base = base;
    g_mmap_state.mmap_size = file_size;
    g_mmap_state.fd = fd;
    return t;
}

void tensor_free_all_mmap(Tensor *tensors, int n) {
    /* Don't free individual data pointers — they live in the mmap region */
    free(tensors);
    if (g_mmap_state.mmap_base) {
        munmap(g_mmap_state.mmap_base, g_mmap_state.mmap_size);
        g_mmap_state.mmap_base = NULL;
    }
    if (g_mmap_state.fd >= 0) {
        close(g_mmap_state.fd);
        g_mmap_state.fd = -1;
    }
}

/* ========================================================================
 * Sparse Sliding Window Attention + Stateful Continuous Inference
 * ========================================================================
 * Implements:
 *   1. attention_forward_sliding() — sparse attention with configurable window
 *   2. attention_backward_sliding() — gradient computation for sparse attention
 *   3. Circular buffer KV cache management (no memcpy shifting)
 *   4. Attention sinks (StreamingLLM-style: keep first N tokens stable)
 *   5. trans_layer_forward_sliding() — layer forward with sparse attention
 *   6. Stateful inference context (g_sctx) for token-by-token generation
 *
 * Design:
 *   - Sliding window: each token attends to last W tokens + first S sink tokens
 *   - Circular buffer: KV cache uses ring buffer, write pointer wraps around
 *   - Attention sinks: first S positions are always in the attention window
 *   - Configurable via ModelConfig.sliding_window and ModelConfig.n_sinks
 * ======================================================================== */

/* Global stateful inference context */
StatefulContext g_sctx = {0};

/* ─── Sliding Window Attention Forward ──────────────────────────── */
void attention_forward_sliding(float *attn_out, const float *qkv,
                               int n_embd, int n_head,
                               int seq_pos,
                               float *k_cache_layer, float *v_cache_layer,
                               int n_ctx, int window_size, int n_sinks) {
    int head_dim = n_embd / n_head;
    float scale = 1.0f / sqrtf((float)head_dim);

    const float *Q = qkv;
    const float *K_new = qkv + n_embd;
    const float *V_new = qkv + 2 * n_embd;

    /* Circular buffer: store at seq_pos % n_ctx */
    int cache_pos = seq_pos % n_ctx;
    memcpy(k_cache_layer + (size_t)cache_pos * n_embd, K_new, n_embd * sizeof(float));
    memcpy(v_cache_layer + (size_t)cache_pos * n_embd, V_new, n_embd * sizeof(float));

    /* Build attended position list: sinks + sliding window */
    int n_sink = (seq_pos < n_sinks) ? seq_pos : n_sinks;
    int win_start = seq_pos - window_size + 1;
    if (win_start < n_sinks) win_start = n_sinks;
    if (win_start > seq_pos) win_start = 0;
    int n_win = seq_pos - win_start + 1;
    if (n_win < 0) n_win = 0;
    int n_attend = n_sink + n_win;
    if (n_attend < 1) n_attend = seq_pos + 1;
    if (n_attend > n_ctx) n_attend = n_ctx;

    /* [加速] thread-local 预分配缓冲区, 避免每调用 malloc/free (参考 llama.cpp).
     * 之前每 token × 每层都 malloc 3 个数组, 8192 token × 10 层 = 81920 次 malloc/step. */
    static __thread int *tl_pos_list = NULL;
    static __thread float *tl_scores = NULL;
    static __thread float *tl_attn_w = NULL;
    static __thread int tl_n = 0;
    if (tl_n < n_attend) {
        free(tl_pos_list); free(tl_scores); free(tl_attn_w);
        tl_pos_list = (int *)malloc(n_attend * sizeof(int));
        tl_scores = (float *)malloc(n_attend * sizeof(float));
        tl_attn_w = (float *)malloc(n_attend * sizeof(float));
        tl_n = n_attend;
    }
    int *pos_list = tl_pos_list;
    float *scores = tl_scores;
    float *attn_w = tl_attn_w;

    int idx = 0;
    for (int j = 0; j < n_sink && idx < n_attend; j++) pos_list[idx++] = j;
    for (int j = win_start; j <= seq_pos && idx < n_attend; j++) pos_list[idx++] = j;

    /* [加速] head 循环并行 — 但只在 n_attend > 256 时开启 (大上下文才值得 fork/join).
     * 小 n_attend 时 OpenMP fork/join 开销 > 计算收益 (8192 token × 10 层 = 81920 次调用).
     * SIMD 8 倍展开点积始终启用. */
    if (n_attend > 256) {
    #pragma omp parallel for schedule(static)
    for (int h = 0; h < n_head; h++) {
        const float *Q_h = Q + h * head_dim;

        /* Compute attention scores + max (SIMD 8 倍展开点积) */
        float max_score = -1e30f;
        for (int i = 0; i < n_attend; i++) {
            int j = pos_list[i];
            int phys_j = j % n_ctx;
            const float *K_jh = k_cache_layer + (size_t)phys_j * n_embd + h * head_dim;
            float dot = 0.0f;
            for (int d = 0; d + 7 < head_dim; d += 8)
                dot += Q_h[d]*K_jh[d] + Q_h[d+1]*K_jh[d+1] + Q_h[d+2]*K_jh[d+2] + Q_h[d+3]*K_jh[d+3]
                     + Q_h[d+4]*K_jh[d+4] + Q_h[d+5]*K_jh[d+5] + Q_h[d+6]*K_jh[d+6] + Q_h[d+7]*K_jh[d+7];
            for (int d = (head_dim/8)*8; d < head_dim; d++) dot += Q_h[d] * K_jh[d];
            dot *= scale;
            scores[i] = dot;
            if (dot > max_score) max_score = dot;
        }

        /* Softmax */
        float sum_exp = 0.0f;
        for (int i = 0; i < n_attend; i++) {
            float e = expf(scores[i] - max_score);
            attn_w[i] = e;
            sum_exp += e;
        }
        float inv_sum = 1.0f / (sum_exp + 1e-12f);
        for (int i = 0; i < n_attend; i++) attn_w[i] *= inv_sum;

        /* Weighted sum of V (SIMD 8 倍展开) */
        float *out_h = attn_out + h * head_dim;
        for (int d = 0; d < head_dim; d++) out_h[d] = 0.0f;
        for (int i = 0; i < n_attend; i++) {
            int j = pos_list[i];
            int phys_j = j % n_ctx;
            float w = attn_w[i];
            const float *V_jh = v_cache_layer + (size_t)phys_j * n_embd + h * head_dim;
            for (int d = 0; d + 7 < head_dim; d += 8) {
                out_h[d+0] += w * V_jh[d+0]; out_h[d+1] += w * V_jh[d+1];
                out_h[d+2] += w * V_jh[d+2]; out_h[d+3] += w * V_jh[d+3];
                out_h[d+4] += w * V_jh[d+4]; out_h[d+5] += w * V_jh[d+5];
                out_h[d+6] += w * V_jh[d+6]; out_h[d+7] += w * V_jh[d+7];
            }
            for (int d = (head_dim/8)*8; d < head_dim; d++) out_h[d] += w * V_jh[d];
        }
    }
    } else {
    /* 小 n_attend: 串行 (避免 fork/join 开销) */
    for (int h = 0; h < n_head; h++) {
        const float *Q_h = Q + h * head_dim;
        float max_score = -1e30f;
        for (int i = 0; i < n_attend; i++) {
            int j = pos_list[i];
            int phys_j = j % n_ctx;
            const float *K_jh = k_cache_layer + (size_t)phys_j * n_embd + h * head_dim;
            float dot = 0.0f;
            for (int d = 0; d + 7 < head_dim; d += 8)
                dot += Q_h[d]*K_jh[d] + Q_h[d+1]*K_jh[d+1] + Q_h[d+2]*K_jh[d+2] + Q_h[d+3]*K_jh[d+3]
                     + Q_h[d+4]*K_jh[d+4] + Q_h[d+5]*K_jh[d+5] + Q_h[d+6]*K_jh[d+6] + Q_h[d+7]*K_jh[d+7];
            for (int d = (head_dim/8)*8; d < head_dim; d++) dot += Q_h[d] * K_jh[d];
            dot *= scale;
            scores[i] = dot;
            if (dot > max_score) max_score = dot;
        }
        float sum_exp = 0.0f;
        for (int i = 0; i < n_attend; i++) {
            float e = expf(scores[i] - max_score);
            attn_w[i] = e;
            sum_exp += e;
        }
        float inv_sum = 1.0f / (sum_exp + 1e-12f);
        for (int i = 0; i < n_attend; i++) attn_w[i] *= inv_sum;
        float *out_h = attn_out + h * head_dim;
        for (int d = 0; d < head_dim; d++) out_h[d] = 0.0f;
        for (int i = 0; i < n_attend; i++) {
            int j = pos_list[i];
            int phys_j = j % n_ctx;
            float w = attn_w[i];
            const float *V_jh = v_cache_layer + (size_t)phys_j * n_embd + h * head_dim;
            for (int d = 0; d + 7 < head_dim; d += 8) {
                out_h[d+0] += w * V_jh[d+0]; out_h[d+1] += w * V_jh[d+1];
                out_h[d+2] += w * V_jh[d+2]; out_h[d+3] += w * V_jh[d+3];
                out_h[d+4] += w * V_jh[d+4]; out_h[d+5] += w * V_jh[d+5];
                out_h[d+6] += w * V_jh[d+6]; out_h[d+7] += w * V_jh[d+7];
            }
            for (int d = (head_dim/8)*8; d < head_dim; d++) out_h[d] += w * V_jh[d];
        }
    }
    }
}

/* ─── C3 概念图驱动长上下文记忆注意力 (推理端, 与 --concept-graph 一体) ─── */
/* 概念注意力探针统计结构 (定义在此处, 因为 attention_forward_concept_ctx 在下方使用).
 * 修复 (2026-08-17): 旧版 ctx 函数没统计, 导致 [CATTN] fwd=0 假警报, 团队持续
 * 误以为概念注意力没参与前向. 现在两个版本都统计. */
typedef struct ConceptAttnStats {
    long   forwards;       /* 前向调用次数 (attention_forward_concept 简单版) */
    long   forwards_ctx;   /* 前向调用次数 (attention_forward_concept_ctx 长上下文记忆版) */
    long   candidates;     /* 累计候选对数 (实际计算量) */
    long   full_equiv;     /* 累计等效全注意力对数 (seq_pos+1) */
    long   gate_pairs;     /* 参与门控判断的对数 */
    long   gate_blocked;   /* 被门控屏蔽的对数 */
    long   msg_candidates; /* 信使候选数 */
    double msg_mass;       /* 信使获得的注意力质量累计 */
    int    last_n_filled;  /* 最近一次前向的已填充片段数 */
    long   ctx_memory_slots_used; /* ctx 版本: 实际命中的概念槽总数(累加) */
    long   ctx_total_attend;      /* ctx 版本: 实际 attend 总候选数(累加) */
    /* 审查建议的核心验证项: 信使是否携带"差异"而非"共识均值" */
    double msg_inter_cos;  /* 信使间平均余弦 (越低越好, 目标 < 0.2 说明去同质化生效) */
    double msg_norm;       /* 信使平均范数 (验证范数钳制 MSG_NORM_CAP=4.0 是否生效) */
    long   msg_segments;   /* 已统计信使的片段数 */
} ConceptAttnStats;
ConceptAttnStats g_ca_stats = {0};
void concept_attn_stats_reset(void);
void concept_attn_stats_reset(void) {
    int keep = g_ca_stats.last_n_filled;
    ConceptAttnStats z = {0};
    g_ca_stats = z;
    g_ca_stats.last_n_filled = keep;
}

/* ─── C3 概念图驱动长上下文记忆注意力 (定义) ─── */
/* 在 sinks+window 之外, 额外 attend 一组"概念状态槽". 槽由被窗口挤出的中间段 token
 * 按其在概念图里的概念归属(neighbor[i*K+0])聚合而成 — 即同一份概念图既引导生成,
 * 又驱动长上下文记忆, 远端信息以概念压缩态回流. 零额外训练. */
void attention_forward_concept_ctx(float *attn_out, const float *qkv,
                                   int n_embd, int n_head,
                                   int seq_pos,
                                   float *k_cache_layer, float *v_cache_layer,
                                   int n_ctx, int window_size, int n_sinks,
                                   const float *wte,           /* [vocab*n_embd] 概念锚点 */
                                   const float *cctx_k, const float *cctx_v,
                                   const int *cctx_cnt, const int *cctx_anchor,
                                   int n_slots, float mem_scale) {
    int head_dim = n_embd / n_head;
    float scale = 1.0f / sqrtf((float)head_dim);

    /* 探针统计: ctx 版本前向计数 + 等效全注意力对数 */
    g_ca_stats.forwards_ctx++;
    g_ca_stats.full_equiv += (long)(seq_pos + 1) * n_head;

    const float *Q = qkv;
    const float *K_new = qkv + n_embd;
    const float *V_new = qkv + 2 * n_embd;

    int cache_pos = seq_pos % n_ctx;
    memcpy(k_cache_layer + (size_t)cache_pos * n_embd, K_new, n_embd * sizeof(float));
    memcpy(v_cache_layer + (size_t)cache_pos * n_embd, V_new, n_embd * sizeof(float));

    int n_sink = (seq_pos < n_sinks) ? seq_pos : n_sinks;
    int win_start = seq_pos - window_size + 1;
    if (win_start < n_sinks) win_start = n_sinks;
    if (win_start > seq_pos) win_start = 0;
    int n_win = seq_pos - win_start + 1;
    if (n_win < 0) n_win = 0;
    int n_attend = n_sink + n_win;

    int n_mem = 0;
    for (int s = 0; s < n_slots; s++) if (cctx_cnt[s] > 0) n_mem++;
    int n_total = n_attend + n_mem;
    if (n_total < 1) n_total = seq_pos + 1;
    if (n_total > n_ctx + n_slots) n_total = n_ctx + n_slots;

    /* 探针统计: 实际候选数 + 命中的概念槽数 */
    g_ca_stats.ctx_total_attend += (long)n_total * n_head;
    g_ca_stats.ctx_memory_slots_used += (long)n_mem * n_head;
    g_ca_stats.candidates += (long)n_total * n_head;

    int pos_idx[8192];
    int *pos_list = (n_total <= 8192) ? pos_idx : malloc(n_total * sizeof(int));
    /* BUG FIX (2026-08-17): is_mem was 256 bytes but the check used
     * `n_total <= 8192` (matching pos_idx size), so if n_total > 256 the
     * code wrote past is_mem and triggered "stack smashing detected" on
     * glibc 2.35 (zzai). The crash happened after step 50 when
     * inference_trace_compact fired model_stateful_begin, which allocated
     * g_sctx.cctx_k and caused subsequent training forward passes to route
     * through this function with n_total > 256 (since n_attend = n_sink + n_win
     * = 64 + min(seq_pos+1, 1024) can reach 1088, well past 256). Fix: size
     * is_mem to match pos_idx (8192) so the (n_total <= 8192) check holds. */
    char is_mem[8192];
    char *mem_flag = (n_total <= 8192) ? is_mem : malloc(n_total * sizeof(char));
    int idx = 0;
    for (int j = 0; j < n_sink && idx < n_attend; j++) { pos_list[idx] = j; mem_flag[idx] = 0; idx++; }
    for (int j = win_start; j <= seq_pos && idx < n_attend; j++) { pos_list[idx] = j; mem_flag[idx] = 0; idx++; }
    int mem_written = 0;
    for (int s = 0; s < n_slots && mem_written < n_mem; s++) {
        if (cctx_cnt[s] > 0) { pos_list[idx] = s; mem_flag[idx] = 1; idx++; mem_written++; }
    }
    int n_final = idx;

    float scores_stack[8192];
    float *scores = (n_total <= 8192) ? scores_stack : malloc(n_total * sizeof(float));
    float *attn_w = (n_total <= 8192) ? scores_stack : malloc(n_total * sizeof(float));

    for (int h = 0; h < n_head; h++) {
        const float *Q_h = Q + h * head_dim;
        float max_score = -1e30f;
        for (int i = 0; i < n_final; i++) {
            float dot;
            if (mem_flag[i]) {
                /* 概念状态槽: K 用聚合 cctx_k; query 与槽锚点(概念图里的概念 token)算分 */
                const float *K_mh = cctx_k + (size_t)pos_list[i] * n_embd + h * head_dim;
                dot = 0.0f;
                for (int d = 0; d < head_dim; d++) dot += Q_h[d] * K_mh[d];
                dot *= scale * mem_scale;
                (void)wte; (void)cctx_anchor;  /* 锚点已在聚合时决定槽归属, 此处用聚合K即可 */
            } else {
                int j = pos_list[i];
                int phys_j = j % n_ctx;
                const float *K_jh = k_cache_layer + (size_t)phys_j * n_embd + h * head_dim;
                dot = 0.0f;
                for (int d = 0; d < head_dim; d++) dot += Q_h[d] * K_jh[d];
                dot *= scale;
            }
            scores[i] = dot;
            if (dot > max_score) max_score = dot;
        }
        float sum_exp = 0.0f;
        for (int i = 0; i < n_final; i++) {
            float e = expf(scores[i] - max_score);
            attn_w[i] = e;
            sum_exp += e;
        }
        float inv_sum = 1.0f / (sum_exp + 1e-12f);
        for (int i = 0; i < n_final; i++) attn_w[i] *= inv_sum;

        float *out_h = attn_out + h * head_dim;
        for (int d = 0; d < head_dim; d++) out_h[d] = 0.0f;
        for (int i = 0; i < n_final; i++) {
            const float *V_h;
            if (mem_flag[i]) V_h = cctx_v + (size_t)pos_list[i] * n_embd + h * head_dim;
            else {
                int j = pos_list[i];
                int phys_j = j % n_ctx;
                V_h = v_cache_layer + (size_t)phys_j * n_embd + h * head_dim;
            }
            float w = attn_w[i];
            for (int d = 0; d < head_dim; d++) out_h[d] += w * V_h[d];
        }
    }

    if (n_total > 8192) { free(scores); free(attn_w); }
    if (n_total > 8192) { free(pos_list); free(mem_flag); }
}

/* ─── Sliding Window Attention Backward ─────────────────────────── */
void attention_backward_sliding(float *grad_qkv, const float *grad_attn_out,
                                const float *qkv, int n_embd, int n_head,
                                int seq_pos,
                                const float *k_cache_layer, const float *v_cache_layer,
                                int n_ctx, int window_size, int n_sinks) {
    int head_dim = n_embd / n_head;
    float scale = 1.0f / sqrtf((float)head_dim);

    /* Determine attended positions (same as forward) */
    int n_sink = (seq_pos < n_sinks) ? seq_pos : n_sinks;
    int win_start = seq_pos - window_size + 1;
    if (win_start < n_sinks) win_start = n_sinks;
    int n_win = seq_pos - win_start + 1;
    if (n_win < 0) n_win = 0;
    int n_attend = n_sink + n_win;

    const float *Q = qkv;
    float *gQ = grad_qkv;
    float *gK = grad_qkv + n_embd;
    float *gV = grad_qkv + 2 * n_embd;
    memset(grad_qkv, 0, 3 * n_embd * sizeof(float));

    /* [加速] thread-local 预分配缓冲区 */
    static __thread int *tl_pos_list = NULL;
    static __thread float *tl_scores = NULL;
    static __thread float *tl_w = NULL;
    static __thread float *tl_gw = NULL;
    static __thread int tl_n = 0;
    if (tl_n < n_attend) {
        free(tl_pos_list); free(tl_scores); free(tl_w); free(tl_gw);
        tl_pos_list = (int *)malloc(n_attend * sizeof(int));
        tl_scores = (float *)malloc(n_attend * sizeof(float));
        tl_w = (float *)malloc(n_attend * sizeof(float));
        tl_gw = (float *)malloc(n_attend * sizeof(float));
        tl_n = n_attend;
    }
    int *pos_list = tl_pos_list;
    float *scores = tl_scores;
    float *w = tl_w;
    float *g_w = tl_gw;

    int idx = 0;
    for (int j = 0; j < n_sink; j++) pos_list[idx++] = j;
    for (int j = win_start; j <= seq_pos; j++) pos_list[idx++] = j;

    int have_self = 0;
    int self_idx = -1;
    for (int i = 0; i < n_attend; i++) {
        if (pos_list[i] == seq_pos) { have_self = 1; self_idx = i; break; }
    }

    /* [加速] head 循环并行 — 只在 n_attend > 256 时开启 (避免小 n_attend fork/join 开销) */
    if (n_attend > 256) {
    #pragma omp parallel for schedule(static)
    for (int h = 0; h < n_head; h++) {
        const float *Q_h = Q + h * head_dim;
        const float *g_out_h = grad_attn_out + h * head_dim;

        /* Recompute scores + softmax (SIMD 展开) */
        float max_score = -1e30f;
        for (int i = 0; i < n_attend; i++) {
            int j = pos_list[i];
            int phys_j = j % n_ctx;
            const float *K_jh = k_cache_layer + (size_t)phys_j * n_embd + h * head_dim;
            float dot = 0.0f;
            for (int d = 0; d + 7 < head_dim; d += 8)
                dot += Q_h[d]*K_jh[d] + Q_h[d+1]*K_jh[d+1] + Q_h[d+2]*K_jh[d+2] + Q_h[d+3]*K_jh[d+3]
                     + Q_h[d+4]*K_jh[d+4] + Q_h[d+5]*K_jh[d+5] + Q_h[d+6]*K_jh[d+6] + Q_h[d+7]*K_jh[d+7];
            for (int d = (head_dim/8)*8; d < head_dim; d++) dot += Q_h[d] * K_jh[d];
            dot *= scale;
            scores[i] = dot;
            if (dot > max_score) max_score = dot;
        }
        float sum_exp = 0.0f;
        for (int i = 0; i < n_attend; i++) {
            float e = expf(scores[i] - max_score);
            w[i] = e; sum_exp += e;
        }
        float inv = 1.0f / (sum_exp + 1e-12f);
        for (int i = 0; i < n_attend; i++) w[i] *= inv;

        /* g_w[i] = <g_out, V_{pos_list[i]}> (SIMD 展开) */
        float dot_gw_w = 0.0f;
        for (int i = 0; i < n_attend; i++) {
            int j = pos_list[i];
            int phys_j = j % n_ctx;
            const float *V_jh = v_cache_layer + (size_t)phys_j * n_embd + h * head_dim;
            float s = 0.0f;
            for (int d = 0; d + 7 < head_dim; d += 8)
                s += g_out_h[d]*V_jh[d] + g_out_h[d+1]*V_jh[d+1] + g_out_h[d+2]*V_jh[d+2] + g_out_h[d+3]*V_jh[d+3]
                   + g_out_h[d+4]*V_jh[d+4] + g_out_h[d+5]*V_jh[d+5] + g_out_h[d+6]*V_jh[d+6] + g_out_h[d+7]*V_jh[d+7];
            for (int d = (head_dim/8)*8; d < head_dim; d++) s += g_out_h[d] * V_jh[d];
            g_w[i] = s;
            dot_gw_w += w[i] * s;
        }
        for (int i = 0; i < n_attend; i++) g_w[i] = w[i] * (g_w[i] - dot_gw_w);

        /* g_Q[d] += sum_i g_scores[i] * K_{pos_list[i]}[d] * scale */
        float *gQ_h = gQ + h * head_dim;
        for (int d = 0; d < head_dim; d++) {
            float s = 0.0f;
            for (int i = 0; i < n_attend; i++) {
                int j = pos_list[i];
                int phys_j = j % n_ctx;
                const float *K_jh = k_cache_layer + (size_t)phys_j * n_embd + h * head_dim;
                s += g_w[i] * K_jh[d];
            }
            gQ_h[d] += s * scale;
        }

        if (have_self) {
            float gs_cur = g_w[self_idx] * scale;
            float *gK_h = gK + h * head_dim;
            for (int d = 0; d < head_dim; d++) gK_h[d] += gs_cur * Q_h[d];
            float w_cur = w[self_idx];
            float *gV_h = gV + h * head_dim;
            for (int d = 0; d < head_dim; d++) gV_h[d] += w_cur * g_out_h[d];
        }
    }
    } else {
    /* 小 n_attend: 串行 */
    for (int h = 0; h < n_head; h++) {
        const float *Q_h = Q + h * head_dim;
        const float *g_out_h = grad_attn_out + h * head_dim;
        float max_score = -1e30f;
        for (int i = 0; i < n_attend; i++) {
            int j = pos_list[i];
            int phys_j = j % n_ctx;
            const float *K_jh = k_cache_layer + (size_t)phys_j * n_embd + h * head_dim;
            float dot = 0.0f;
            for (int d = 0; d + 7 < head_dim; d += 8)
                dot += Q_h[d]*K_jh[d] + Q_h[d+1]*K_jh[d+1] + Q_h[d+2]*K_jh[d+2] + Q_h[d+3]*K_jh[d+3]
                     + Q_h[d+4]*K_jh[d+4] + Q_h[d+5]*K_jh[d+5] + Q_h[d+6]*K_jh[d+6] + Q_h[d+7]*K_jh[d+7];
            for (int d = (head_dim/8)*8; d < head_dim; d++) dot += Q_h[d] * K_jh[d];
            dot *= scale;
            scores[i] = dot;
            if (dot > max_score) max_score = dot;
        }
        float sum_exp = 0.0f;
        for (int i = 0; i < n_attend; i++) {
            float e = expf(scores[i] - max_score);
            w[i] = e; sum_exp += e;
        }
        float inv = 1.0f / (sum_exp + 1e-12f);
        for (int i = 0; i < n_attend; i++) w[i] *= inv;
        float dot_gw_w = 0.0f;
        for (int i = 0; i < n_attend; i++) {
            int j = pos_list[i];
            int phys_j = j % n_ctx;
            const float *V_jh = v_cache_layer + (size_t)phys_j * n_embd + h * head_dim;
            float s = 0.0f;
            for (int d = 0; d + 7 < head_dim; d += 8)
                s += g_out_h[d]*V_jh[d] + g_out_h[d+1]*V_jh[d+1] + g_out_h[d+2]*V_jh[d+2] + g_out_h[d+3]*V_jh[d+3]
                   + g_out_h[d+4]*V_jh[d+4] + g_out_h[d+5]*V_jh[d+5] + g_out_h[d+6]*V_jh[d+6] + g_out_h[d+7]*V_jh[d+7];
            for (int d = (head_dim/8)*8; d < head_dim; d++) s += g_out_h[d] * V_jh[d];
            g_w[i] = s;
            dot_gw_w += w[i] * s;
        }
        for (int i = 0; i < n_attend; i++) g_w[i] = w[i] * (g_w[i] - dot_gw_w);
        float *gQ_h = gQ + h * head_dim;
        for (int d = 0; d < head_dim; d++) {
            float s = 0.0f;
            for (int i = 0; i < n_attend; i++) {
                int j = pos_list[i];
                int phys_j = j % n_ctx;
                const float *K_jh = k_cache_layer + (size_t)phys_j * n_embd + h * head_dim;
                s += g_w[i] * K_jh[d];
            }
            gQ_h[d] += s * scale;
        }
        if (have_self) {
            float gs_cur = g_w[self_idx] * scale;
            float *gK_h = gK + h * head_dim;
            for (int d = 0; d < head_dim; d++) gK_h[d] += gs_cur * Q_h[d];
            float w_cur = w[self_idx];
            float *gV_h = gV + h * head_dim;
            for (int d = 0; d < head_dim; d++) gV_h[d] += w_cur * g_out_h[d];
        }
    }
    }
}

void trans_layer_forward_sliding(float *x, TransLayer *tl, TransAct *act,
                                  ModelConfig *cfg, int cache_pos, int abs_pos,
                                  int window, int n_sinks, int n_ctx);

/* [加速] KV-only 快速 prefill: 只算 norm1 + Q/K/V + 存 cache, 跳过 attention/attn_o/MLP.
 * 用于训练 forward 的中间 token (p < t), backward 只对最后一个 token 做,
 * 所以中间 token 不需要 attn_out/proj_out/mlp_hidden 等 act, 只需 K/V 进 cache.
 * 节省 ~60% 计算量 (attn_o + MLP 占层 forward 的大头). */
void trans_layer_forward_kv_only_sliding(float *x, TransLayer *tl, TransAct *act,
                                          ModelConfig *cfg, int cache_pos, int abs_pos) {
    int n = cfg->n_embd;
    act->seq_pos = abs_pos;
    act->n_ctx = cfg->n_ctx;

    /* Norm1 */
    norm_forward(act->norm1_out, x, tl->norm1_w, tl->norm1_b, cfg->norm_type, n);

    if (g_skip_wv) {
        if (tl->_kv_k && tl->_kv_v) {
            memset(tl->_kv_k + (size_t)cache_pos * n, 0, n * sizeof(float));
            memset(tl->_kv_v + (size_t)cache_pos * n, 0, n * sizeof(float));
        }
        return;
    }

    /* kv_only: 用 bin_fwd 算 Q/K/V (纯 float 投影在 Windows 上产生 NaN, 回退).
     * K/V 在 backward 是常量, 但 bin_fwd 保证和完整 forward 一致. */
    if (cfg->qkv_merged) {
        bin_fwd(act->q, act->norm1_out, &tl->attn_q);
        act->k = act->q + n;
        act->v = act->q + 2 * n;
    } else {
        bin_fwd(act->k, act->norm1_out, &tl->attn_k);
        bin_fwd(act->v, act->norm1_out, &tl->attn_v);
    }
    if (tl->_kv_k && tl->_kv_v) {
        memcpy(tl->_kv_k + (size_t)cache_pos * n, act->k, n * sizeof(float));
        memcpy(tl->_kv_v + (size_t)cache_pos * n, act->v, n * sizeof(float));
    }
    (void)x;
}

/* ─── Transformer Layer Forward with Sliding Window ─────────────── */
void trans_layer_forward_sliding(float *x, TransLayer *tl, TransAct *act,
                                  ModelConfig *cfg, int cache_pos, int abs_pos,
                                  int window, int n_sinks, int n_ctx) {
    int n = cfg->n_embd, m = cfg->mlp_dim;
    float rs = cfg->residual_scale;
    act->seq_pos = abs_pos;
    act->n_ctx = n_ctx;      /* REAL sequence length for concept-attn closing */

    /* Norm1 + QKV projection */
    memcpy(act->x_pre_norm1, x, n * sizeof(float));
    norm_forward(act->norm1_out, x, tl->norm1_w, tl->norm1_b, cfg->norm_type, n);
    compute_mean_std(act->x_pre_norm1, n, &act->norm1_cache[0], &act->norm1_cache[1]);

    /* v13l: Skip W_v projection — use norm1_out directly as attention output */
    if (g_skip_wv) {
        memcpy(act->attn_out, act->norm1_out, n * sizeof(float));
        memset(act->q, 0, 3 * n * sizeof(float));
    } else {
        if (cfg->qkv_merged) {
            bin_fwd(act->q, act->norm1_out, &tl->attn_q);
            act->k = act->q + n;
            act->v = act->q + 2 * n;
        } else {
            bin_fwd(act->q, act->norm1_out, &tl->attn_q);
            bin_fwd(act->k, act->norm1_out, &tl->attn_k);
            bin_fwd(act->v, act->norm1_out, &tl->attn_v);
        }

        /* Apply RoPE if configured */
        if (cfg->attn_type == ATTN_ROPE)
            apply_rope(act->q, act->k, abs_pos, cfg->n_head, n / cfg->n_head, n);

        /* Sliding window attention */
        if (tl->_kv_k && tl->_kv_v) {
            /* C3 概念图驱动长上下文记忆: 与 --concept-graph 一体. 仅当概念图已加载时启用,
             * 把被窗口挤出的中间段按概念聚合进概念状态槽, 额外 attend. 概念图主线不旁落. */
            if (g_cctx_cfg.enable && g_runtime_cg && g_sctx.cctx_k) {
                int layer = tl->layer_idx;
                const float *ck = g_sctx.cctx_k + (size_t)layer * LCTX_SLOTS * n;
                const float *cv = g_sctx.cctx_v + (size_t)layer * LCTX_SLOTS * n;
                const int   *cc = g_sctx.cctx_cnt + (size_t)layer * LCTX_SLOTS;
                const int   *ca = g_sctx.cctx_anchor + (size_t)layer * LCTX_SLOTS;
                attention_forward_concept_ctx(act->attn_out, act->q, n, cfg->n_head,
                                              cache_pos, tl->_kv_k, tl->_kv_v,
                                              cfg->n_ctx, window, n_sinks,
                                              NULL, ck, cv, cc, ca, LCTX_SLOTS, g_cctx_cfg.mem_scale);
            } else if (g_concept_attn_cfg.enable && g_messenger_caches) {
                /* v16: 概念感知注意力推理接入 — 与训练同通路, 支持同权重 A/B 对比 */
                attention_forward_concept(act->attn_out, act->q, n, cfg->n_head,
                                          abs_pos, tl->_kv_k, tl->_kv_v, n_ctx,
                                          &g_concept_attn_cfg, &g_messenger_caches[tl->layer_idx]);
            } else {
                attention_forward_sliding(act->attn_out, act->q, n, cfg->n_head,
                                           cache_pos, tl->_kv_k, tl->_kv_v,
                                           cfg->n_ctx, window, n_sinks);
            }
        } else {
            /* Fallback: V-copy (legacy) */
            memcpy(act->attn_out, act->v, n * sizeof(float));
        }
    } /* end !g_skip_wv */

    /* Output projection */
    bin_fwd(act->proj_out, act->attn_out, &tl->attn_o);
    /* v13j: Proportional attention scaling (same as standard forward) */
    {
        float xn = 0, pn = 0;
        for (int i = 0; i < n; i++) { xn += x[i] * x[i]; pn += act->proj_out[i] * act->proj_out[i]; }
        xn = sqrtf(xn) + 1e-8f;
        pn = sqrtf(pn) + 1e-8f;
        float target = g_attn_res_scale * xn;
        act->attn_scale = target / pn;
        for (int i = 0; i < n; i++) act->proj_out[i] *= act->attn_scale;
    }
    for (int i = 0; i < n; i++) x[i] += rs * act->proj_out[i];

    /* Norm2 + MLP */
    memcpy(act->x_pre_norm2, x, n * sizeof(float));
    norm_forward(act->norm2_out, x, tl->norm2_w, tl->norm2_b, cfg->norm_type, n);
    compute_mean_std(act->x_pre_norm2, n, &act->norm2_cache[0], &act->norm2_cache[1]);

    if (cfg->act_type == ACT_SWIGLU) {
        /* BUG #44 FIX: static buffer instead of malloc/free per call */
        static float *sgate = NULL, *sup = NULL;
        static int sg_m = 0;
        if (sg_m != m) {
            free(sgate); free(sup);
            sgate = malloc(m * sizeof(float));
            sup = malloc(m * sizeof(float));
            sg_m = m;
        }
        bin_fwd(sgate, act->norm2_out, &tl->mlp_gate);
        bin_fwd(sup, act->norm2_out, &tl->mlp_up);
        for (int i = 0; i < m; i++) act->mlp_hidden[i] = silu(sgate[i]) * sup[i];
    } else {
        bin_fwd(act->mlp_hidden, act->norm2_out, &tl->mlp_gate);
        for (int i = 0; i < m; i++) act->mlp_hidden[i] = gelu(act->mlp_hidden[i]);
    }

    bin_fwd(act->mlp_out, act->mlp_hidden, &tl->mlp_down);
    /* v13j: Proportional MLP scaling + normalize_residual(6.0) (same as standard) */
    {
        float xn = 0, mlp_norm_sq = 0;
        for (int i = 0; i < n; i++) { xn += x[i] * x[i]; mlp_norm_sq += act->mlp_out[i] * act->mlp_out[i]; }
        float xn_norm = sqrtf(xn) + 1e-8f;
        float mlp_norm = sqrtf(mlp_norm_sq) + 1e-8f;
        float mlp_cap = 0.25f * xn_norm;
        act->mlp_scale = (mlp_norm > mlp_cap) ? (mlp_cap / mlp_norm) : 1.0f;
        for (int i = 0; i < n; i++) x[i] += rs * act->mlp_scale * act->mlp_out[i];
    }
    normalize_residual(x, n, 6.0f);
}

/* ─── Transformer Layer Backward with Sliding Window ────────────────
 * 与 trans_layer_backward 完全对称, 唯一区别: attention 反向用
 * attention_backward_sliding (与推理端 attention_forward_sliding 配对).
 * 训练端用这个, 训练/推理 attention 窗口完全一致 (sinks + window 两段式).
 * act->seq_pos = abs_pos (推理端存的), act->n_ctx = n_ctx (传入的物理 cache 大小). */
void trans_layer_backward_sliding(float *grad_x, TransLayer *tl, TransAct *act,
                                  ModelConfig *cfg, int window, int n_sinks,
                                  float lr) {
    int n = cfg->n_embd, m = cfg->mlp_dim;
    float rs = cfg->residual_scale;
    int tid = g_cur_tid;
    float *g_mlp = g_thr[tid].mlp, *g_hidden = g_thr[tid].hidden,
          *g_norm2 = g_thr[tid].norm2, *g_proj = g_thr[tid].proj;
    float *g_attn = g_thr[tid].attn, *g_qkv = g_thr[tid].qkv,
          *g_norm1 = g_thr[tid].norm1, *g_pre = g_thr[tid].pre;

    #define BIN_BW(gx, gy, x, bl, lr, slot) \
        (g_use_ste ? bin_backward_ste(gx, gy, x, bl, lr, tl->layer_idx, slot) \
                   : bin_backward(gx, gy, x, bl, lr))

    /* MLP backward (与 trans_layer_backward 完全一致) */
    for (int i = 0; i < n; i++) g_mlp[i] = grad_x[i] * rs * act->mlp_scale;
    BIN_BW(g_hidden, g_mlp, act->mlp_hidden, &tl->mlp_down, lr, 3);
    if (cfg->act_type == ACT_SWIGLU) {
        float *g_gate = g_thr[tid].gate, *g_up = g_thr[tid].up;
        float *g_norm2_gate = g_thr[tid].norm2_gate, *g_norm2_up = g_thr[tid].norm2_up;
        for (int i = 0; i < m; i++) {
            float sv = silu(act->swiglu_gate[i]);
            float sg = silu_grad(act->swiglu_gate[i]);
            g_gate[i] = g_hidden[i] * sg * act->swiglu_up[i];
            g_up[i]   = g_hidden[i] * sv;
        }
        BIN_BW(g_norm2_gate, g_gate, act->norm2_out, &tl->mlp_gate, lr, 2);
        BIN_BW(g_norm2_up,   g_up,   act->norm2_out, &tl->mlp_up,   lr, 6);
        for (int i = 0; i < n; i++) g_norm2[i] = g_norm2_gate[i] + g_norm2_up[i];
    } else {
        for (int i = 0; i < m; i++) g_hidden[i] *= gelu_grad(act->mlp_hidden[i]);
        BIN_BW(g_norm2, g_hidden, act->norm2_out, &tl->mlp_gate, lr, 2);
    }
    norm_backward(g_pre, g_norm2, act->x_pre_norm2, tl->norm2_w,
                  act->norm2_cache, cfg->norm_type, n,
                  g_thr[tid].grad_norm2_w[tl->layer_idx], g_thr[tid].grad_norm2_b[tl->layer_idx]);
    for (int i = 0; i < n; i++) grad_x[i] += g_pre[i] * rs;

    /* Attention backward — 用 sliding 版本, 与推理 forward 配对 */
    for (int i = 0; i < n; i++) g_proj[i] = grad_x[i] * rs * act->attn_scale;
    BIN_BW(g_attn, g_proj, act->attn_out, &tl->attn_o, lr, 1);
    if (g_skip_wv) {
        memcpy(g_norm1, g_attn, n * sizeof(float));
        memset(g_qkv, 0, 3 * n * sizeof(float));
    } else if (g_use_real_attention && tl->_kv_k && tl->_kv_v) {
        /* 关键: 用 attention_backward_sliding, 与推理 attention_forward_sliding 完全配对.
         * act->seq_pos = abs_pos, act->n_ctx = 物理 cache 大小 (传给 n_ctx 参数). */
        attention_backward_sliding(g_qkv, g_attn, act->q, n, cfg->n_head,
                                    act->seq_pos, tl->_kv_k, tl->_kv_v,
                                    act->n_ctx, window, n_sinks);
    } else {
        memset(g_qkv, 0, 3 * n * sizeof(float));
        memcpy(g_qkv + 2 * n, g_attn, n * sizeof(float));
    }
    if (!g_skip_wv) {
        if (cfg->qkv_merged) {
            BIN_BW(g_norm1, g_qkv, act->norm1_out, &tl->attn_q, lr, 0);
        } else {
            float *g_n1k = g_thr[tid].n1k, *g_n1v = g_thr[tid].n1v;
            BIN_BW(g_norm1,  g_qkv,       act->norm1_out, &tl->attn_q, lr, 0);
            BIN_BW(g_n1k,    g_qkv + n,   act->norm1_out, &tl->attn_k, lr, 4);
            BIN_BW(g_n1v,    g_qkv + 2*n, act->norm1_out, &tl->attn_v, lr, 5);
            for (int i = 0; i < n; i++) g_norm1[i] += g_n1k[i] + g_n1v[i];
        }
    }
    norm_backward(g_pre, g_norm1, act->x_pre_norm1, tl->norm1_w,
                  act->norm1_cache, cfg->norm_type, n,
                  g_thr[tid].grad_norm1_w[tl->layer_idx], g_thr[tid].grad_norm1_b[tl->layer_idx]);
    for (int i = 0; i < n; i++) grad_x[i] += g_pre[i] * rs;
}

/* ─── Stateful Inference: Begin New Session ─────────────────────── */

/* ========================================================================
 * Batch Training Implementation
 * ======================================================================== */

void model_batch_alloc(Model *m) {
    /* Buffers are already allocated in bin_layer_init, but this ensures
     * they exist for models loaded without g_use_adam. */
    for (int l = 0; l < m->cfg.n_layer; l++) {
        TransLayer *tl = &m->layers[l];
        BinLayer *bls[8] = {&tl->attn_q, &tl->attn_o, &tl->mlp_gate, &tl->mlp_down};
        int n_bl = 4;
        if (!m->cfg.qkv_merged) {
            /* Separate Q/K/V — attn_k and attn_v also need buffers */
            bls[4] = &tl->attn_k; bls[5] = &tl->attn_v;
            n_bl = 6;
        }
        if (m->cfg.act_type == ACT_SWIGLU) {
            bls[n_bl] = &tl->mlp_up;
            n_bl++;
        }
        for (int b = 0; b < n_bl; b++) {
            BinLayer *bl = bls[b];
            if (!bl->grad_accum && bl->w_float) {
                bl->grad_accum = calloc((size_t)bl->in_dim * bl->out_dim, sizeof(float));
            }
            if (!bl->bias_grad_accum && bl->w_float) {
                bl->bias_grad_accum = calloc((size_t)bl->out_dim, sizeof(float));
            }
        }
    }

    /* Allocate gradient accumulation + Adam state for wte, wpe and ln_f */
    if (!m->grad_wte_accum) {
        size_t wte_size = (size_t)m->cfg.vocab_size * m->cfg.n_embd;
        /* v2: 64 字节对齐分配 — SIMD AVX-512 需要 64 字节对齐 */
        #if defined(_WIN32)
            m->grad_wte_accum = _aligned_malloc(wte_size * sizeof(float), 64);
            memset(m->grad_wte_accum, 0, wte_size * sizeof(float));
            m->m_wte = _aligned_malloc(wte_size * sizeof(float), 64);
            memset(m->m_wte, 0, wte_size * sizeof(float));
            m->v_wte = _aligned_malloc(wte_size * sizeof(float), 64);
            memset(m->v_wte, 0, wte_size * sizeof(float));
        #else
            posix_memalign((void**)&m->grad_wte_accum, 64, wte_size * sizeof(float));
            memset(m->grad_wte_accum, 0, wte_size * sizeof(float));
            posix_memalign((void**)&m->m_wte, 64, wte_size * sizeof(float));
            memset(m->m_wte, 0, wte_size * sizeof(float));
            posix_memalign((void**)&m->v_wte, 64, wte_size * sizeof(float));
            memset(m->v_wte, 0, wte_size * sizeof(float));
        #endif
    }
    if (m->wpe && !m->grad_wpe_accum) {
        size_t wpe_size = (size_t)m->cfg.n_ctx * m->cfg.n_embd;
        m->grad_wpe_accum = calloc(wpe_size, sizeof(float));
        m->m_wpe = calloc(wpe_size, sizeof(float));
        m->v_wpe = calloc(wpe_size, sizeof(float));
    }
    if (!m->grad_ln_f_w_accum) {
        m->grad_ln_f_w_accum = calloc(m->cfg.n_embd, sizeof(float));
        m->grad_ln_f_b_accum = calloc(m->cfg.n_embd, sizeof(float));
        m->m_ln_f_w = calloc(m->cfg.n_embd, sizeof(float));
        m->v_ln_f_w = calloc(m->cfg.n_embd, sizeof(float));
        m->m_ln_f_b = calloc(m->cfg.n_embd, sizeof(float));
        m->v_ln_f_b = calloc(m->cfg.n_embd, sizeof(float));
    }

    /* Allocate norm weight gradients for each layer */
    for (int l = 0; l < m->cfg.n_layer; l++) {
        TransLayer *tl = &m->layers[l];
        if (!tl->grad_norm1_w) {
            tl->grad_norm1_w = calloc(m->cfg.n_embd, sizeof(float));
            tl->grad_norm1_b = calloc(m->cfg.n_embd, sizeof(float));
            tl->grad_norm2_w = calloc(m->cfg.n_embd, sizeof(float));
            tl->grad_norm2_b = calloc(m->cfg.n_embd, sizeof(float));
        }
        /* BUG #50 FIX: Allocate Adam state for LayerNorm weights */
        if (!tl->m_norm1_w) {
            tl->m_norm1_w = calloc(m->cfg.n_embd, sizeof(float));
            tl->v_norm1_w = calloc(m->cfg.n_embd, sizeof(float));
            tl->m_norm1_b = calloc(m->cfg.n_embd, sizeof(float));
            tl->v_norm1_b = calloc(m->cfg.n_embd, sizeof(float));
            tl->m_norm2_w = calloc(m->cfg.n_embd, sizeof(float));
            tl->v_norm2_w = calloc(m->cfg.n_embd, sizeof(float));
            tl->m_norm2_b = calloc(m->cfg.n_embd, sizeof(float));
            tl->v_norm2_b = calloc(m->cfg.n_embd, sizeof(float));
        }
    }
    thr_res_alloc(m);  /* ensure per-thread buffers exist for parallel batch */
}

/* ---- per-thread resource management ---- */
void thr_res_alloc(Model *m) {
    g_nthr = omp_get_max_threads();
    if (g_nthr > LAL_MAX_THREADS) g_nthr = LAL_MAX_THREADS;
    if (g_thr_inited) return;
    for (int t = 0; t < g_nthr; t++) {
        ThrRes *r = &g_thr[t];
        r->n_layer = m->cfg.n_layer;
        r->acts = trans_act_alloc(&m->cfg);
        r->scratch = trans_act_alloc(&m->cfg);
        r->mlp = calloc(16384, sizeof(float));
        r->hidden = calloc(16384, sizeof(float));
        r->norm2 = calloc(16384, sizeof(float));
        r->proj = calloc(16384, sizeof(float));
        r->attn = calloc(16384, sizeof(float));
        r->qkv = calloc(16384*3, sizeof(float));
        r->norm1 = calloc(16384, sizeof(float));
        r->pre = calloc(16384, sizeof(float));
        r->gate = calloc(16384, sizeof(float));
        r->up = calloc(16384, sizeof(float));
        r->norm2_gate = calloc(16384, sizeof(float));
        r->norm2_up = calloc(16384, sizeof(float));
        r->n1k = calloc(4096, sizeof(float));
        r->n1v = calloc(4096, sizeof(float));
        r->xc = calloc(4096, sizeof(float));
        r->x = calloc(4096, sizeof(float));
        r->gh = calloc(4096, sizeof(float));
        r->g_pre4 = calloc(4096, sizeof(float));
        r->full_logits = calloc((size_t)m->cfg.vocab_size, sizeof(float));
        r->full_logits_vocab = m->cfg.vocab_size;
        r->forward_done = 0;
        r->x_before_final = calloc(m->cfg.n_embd, sizeof(float));
        r->final_ln = calloc(m->cfg.n_embd, sizeof(float));
        r->n_bl_max = 7; /* attn_q,o,k,v,mlp_gate,down,up */
        r->grad_w = calloc(m->cfg.n_layer, sizeof(float**));
        r->grad_b = calloc(m->cfg.n_layer, sizeof(float**));
        for (int l = 0; l < m->cfg.n_layer; l++) {
            TransLayer *tl = &m->layers[l];
            BinLayer *bls[8] = {&tl->attn_q, &tl->attn_o, &tl->mlp_gate, &tl->mlp_down};
            int n_bl = 4;
            if (!m->cfg.qkv_merged) { bls[4] = &tl->attn_k; bls[5] = &tl->attn_v; n_bl = 6; }
            if (m->cfg.act_type == ACT_SWIGLU) { bls[n_bl] = &tl->mlp_up; n_bl++; }
            /* 分配 n_bl_max (上限7) 个指针槽, 与 thr_res_free 的遍历上限一致,
             * 避免 qkv_merged 或 act_type 导致 n_bl<7 时越界 free 野指针。 */
            r->grad_w[l] = calloc(r->n_bl_max, sizeof(float*));
            r->grad_b[l] = calloc(r->n_bl_max, sizeof(float*));
            for (int b = 0; b < n_bl; b++) {
                BinLayer *bl = bls[b];
                r->grad_w[l][b] = calloc((size_t)bl->in_dim * bl->out_dim, sizeof(float));
                r->grad_b[l][b] = calloc(bl->out_dim, sizeof(float));
            }
        }
        size_t wte_size = (size_t)m->cfg.vocab_size * m->cfg.n_embd;
        r->grad_wte = calloc(wte_size, sizeof(float));
        size_t wpe_size = (size_t)m->cfg.n_ctx * m->cfg.n_embd;
        r->grad_wpe = calloc(wpe_size, sizeof(float));
        r->grad_lnfw = calloc(m->cfg.n_embd, sizeof(float));
        r->grad_lnfb = calloc(m->cfg.n_embd, sizeof(float));
        r->grad_norm1_w = calloc(m->cfg.n_layer, sizeof(float*));
        r->grad_norm1_b = calloc(m->cfg.n_layer, sizeof(float*));
        r->grad_norm2_w = calloc(m->cfg.n_layer, sizeof(float*));
        r->grad_norm2_b = calloc(m->cfg.n_layer, sizeof(float*));
        for (int l = 0; l < m->cfg.n_layer; l++) {
            r->grad_norm1_w[l] = calloc(m->cfg.n_embd, sizeof(float));
            r->grad_norm1_b[l] = calloc(m->cfg.n_embd, sizeof(float));
            r->grad_norm2_w[l] = calloc(m->cfg.n_embd, sizeof(float));
            r->grad_norm2_b[l] = calloc(m->cfg.n_embd, sizeof(float));
        }
        /* === Ponder 循环思考缓冲 === */
        r->ponder_ready = 0;
        if (g_ponder_cfg.enable) {
            memset(&r->ponder, 0, sizeof(r->ponder));
            r->ponder_mix   = calloc(m->cfg.n_embd, sizeof(float));
            r->ponder_state = calloc((size_t)LAL_PONDER_MAX_STEPS * m->cfg.n_embd, sizeof(float));
            r->ponder_kv0k  = calloc(m->cfg.n_embd, sizeof(float));
            r->ponder_kv0v  = calloc(m->cfg.n_embd, sizeof(float));
            r->rec_acts     = trans_act_alloc(&m->cfg);  /* 分配 n_layer 槽, 用前 rec_iters 个 */
            r->ponder_first_rec_step = g_ponder_cfg.layer_halt ? (m->cfg.n_layer - 1) : 0;
            r->ponder_ready = 1;
        }
    }
    g_thr_inited = 1;
}

void thr_res_free(void) {
    if (!g_thr_inited) return;
    for (int t = 0; t < g_nthr; t++) {
        ThrRes *r = &g_thr[t];
        trans_act_free(r->acts, r->n_layer);
        trans_act_free(r->scratch, r->n_layer);
        free(r->mlp); free(r->hidden); free(r->norm2); free(r->proj);
        free(r->attn); free(r->qkv); free(r->norm1); free(r->pre);
        free(r->gate); free(r->up); free(r->norm2_gate); free(r->norm2_up);
        free(r->n1k); free(r->n1v); free(r->xc); free(r->x); free(r->gh);
        free(r->g_pre4); free(r->full_logits); free(r->x_before_final); free(r->final_ln);
        for (int l = 0; l < r->n_layer; l++) {
            for (int b = 0; b < r->n_bl_max; b++) {
                if (r->grad_w[l]) free(r->grad_w[l][b]);
                if (r->grad_b[l]) free(r->grad_b[l][b]);
            }
            free(r->grad_w[l]); free(r->grad_b[l]);
        }
        free(r->grad_w); free(r->grad_b);
        free(r->grad_wte); free(r->grad_wpe); free(r->grad_lnfw); free(r->grad_lnfb);
        for (int l = 0; l < r->n_layer; l++) {
            free(r->grad_norm1_w[l]); free(r->grad_norm1_b[l]);
            free(r->grad_norm2_w[l]); free(r->grad_norm2_b[l]);
        }
        free(r->grad_norm1_w); free(r->grad_norm1_b);
        free(r->grad_norm2_w); free(r->grad_norm2_b);
        /* Ponder 缓冲释放 */
        if (r->ponder_ready) {
            free(r->ponder_mix); free(r->ponder_state);
            free(r->ponder_kv0k); free(r->ponder_kv0v);
            trans_act_free(r->rec_acts, r->n_layer);
            r->ponder_ready = 0;
        }
    }
    g_thr_inited = 0;
}

/* Sum all per-thread gradient pools into the real grad_accum (which
 * model_batch_begin already zeroed). Called once after the parallel region,
 * on the master thread (outside the parallel region). */
void thr_grad_reduce(Model *m) {
    int n = m->cfg.n_embd;
    for (int t = 0; t < g_nthr; t++) {
        ThrRes *r = &g_thr[t];
        for (int l = 0; l < m->cfg.n_layer; l++) {
            TransLayer *tl = &m->layers[l];
            BinLayer *bls[8] = {&tl->attn_q, &tl->attn_o, &tl->mlp_gate, &tl->mlp_down};
            int n_bl = 4;
            if (!m->cfg.qkv_merged) { bls[4] = &tl->attn_k; bls[5] = &tl->attn_v; n_bl = 6; }
            if (m->cfg.act_type == ACT_SWIGLU) { bls[n_bl] = &tl->mlp_up; n_bl++; }
            for (int b = 0; b < n_bl; b++) {
                BinLayer *bl = bls[b];
                long sz = (long)bl->in_dim * bl->out_dim;
                if (bl->grad_accum && r->grad_w[l][b]) {
                    /* v2: OpenMP 并行梯度合并 — 大矩阵 (sz > 4096) 才开 */
                    if (sz > 4096) {
                    #pragma omp parallel for schedule(static)
                    for (long i = 0; i < sz; i++) bl->grad_accum[i] += r->grad_w[l][b][i];
                    } else {
                        for (long i = 0; i < sz; i++) bl->grad_accum[i] += r->grad_w[l][b][i];
                    }
                }
                long osz = bl->out_dim;
                if (bl->bias_grad_accum && r->grad_b[l][b])
                    for (long i = 0; i < osz; i++) bl->bias_grad_accum[i] += r->grad_b[l][b][i];
            }
            for (int i = 0; i < n; i++) {
                tl->grad_norm1_w[i] += r->grad_norm1_w[l][i];
                tl->grad_norm1_b[i] += r->grad_norm1_b[l][i];
                tl->grad_norm2_w[i] += r->grad_norm2_w[l][i];
                tl->grad_norm2_b[i] += r->grad_norm2_b[l][i];
            }
        }
        /* v2: wte/wpe 梯度合并并行 — 32768×512 = 1670万, 最大瓶颈 */
        if (m->grad_wte_accum) {
            size_t wte_size = (size_t)m->cfg.vocab_size * m->cfg.n_embd;
            #pragma omp parallel for schedule(static)
            for (long i = 0; i < (long)wte_size; i++) m->grad_wte_accum[i] += r->grad_wte[i];
        }
        if (m->grad_wpe_accum) {
            size_t wpe_size = (size_t)m->cfg.n_ctx * m->cfg.n_embd;
            #pragma omp parallel for schedule(static)
            for (long i = 0; i < (long)wpe_size; i++) m->grad_wpe_accum[i] += r->grad_wpe[i];
        }
        if (m->grad_ln_f_w_accum) {
            for (int i = 0; i < n; i++) {
                m->grad_ln_f_w_accum[i] += r->grad_lnfw[i];
                m->grad_ln_f_b_accum[i] += r->grad_lnfb[i];
            }
        }
    }
}

void model_batch_begin(Model *m) {
    for (int l = 0; l < m->cfg.n_layer; l++) {
        TransLayer *tl = &m->layers[l];
        /* Zero norm weight gradients */
        if (tl->grad_norm1_w) {
            memset(tl->grad_norm1_w, 0, m->cfg.n_embd * sizeof(float));
            memset(tl->grad_norm1_b, 0, m->cfg.n_embd * sizeof(float));
            memset(tl->grad_norm2_w, 0, m->cfg.n_embd * sizeof(float));
            memset(tl->grad_norm2_b, 0, m->cfg.n_embd * sizeof(float));
        }
        BinLayer *bls[8] = {&tl->attn_q, &tl->attn_o, &tl->mlp_gate, &tl->mlp_down};
        int n_bl = 4;
        if (!m->cfg.qkv_merged) { bls[4] = &tl->attn_k; bls[5] = &tl->attn_v; n_bl = 6; }
        if (m->cfg.act_type == ACT_SWIGLU) { bls[n_bl] = &tl->mlp_up; n_bl++; }
        for (int b = 0; b < n_bl; b++) {
            BinLayer *bl = bls[b];
            if (bl->grad_accum)
                memset(bl->grad_accum, 0, (size_t)bl->in_dim * bl->out_dim * sizeof(float));
            if (bl->bias_grad_accum)
                memset(bl->bias_grad_accum, 0, (size_t)bl->out_dim * sizeof(float));
        }
    }
    /* Zero embedding and norm gradients */
    if (m->grad_wte_accum)
        memset(m->grad_wte_accum, 0, (size_t)m->cfg.vocab_size * m->cfg.n_embd * sizeof(float));
    if (m->grad_wpe_accum)
        memset(m->grad_wpe_accum, 0, (size_t)m->cfg.n_ctx * m->cfg.n_embd * sizeof(float));
    if (m->grad_ln_f_w_accum) {
        memset(m->grad_ln_f_w_accum, 0, m->cfg.n_embd * sizeof(float));
        memset(m->grad_ln_f_b_accum, 0, m->cfg.n_embd * sizeof(float));
    }
    /* Zero per-thread gradient pools so they start fresh each step.
     * (Real grad_accum above is what the optimizer consumes; these pools are
     *  accumulated into it by thr_grad_reduce and must not carry across steps.) */
    if (g_thr_inited) {
        for (int t = 0; t < g_nthr; t++) {
            ThrRes *r = &g_thr[t];
            for (int l = 0; l < m->cfg.n_layer; l++) {
                TransLayer *tl = &m->layers[l];
                int n_bl = 4;
                if (!m->cfg.qkv_merged) n_bl = 6;
                if (m->cfg.act_type == ACT_SWIGLU) n_bl++;
                for (int b = 0; b < n_bl; b++) {
                    BinLayer *bl = NULL;
                    if (b == 0) bl = &tl->attn_q; else if (b == 1) bl = &tl->attn_o;
                    else if (b == 2) bl = &tl->mlp_gate; else if (b == 3) bl = &tl->mlp_down;
                    else if (b == 4) bl = &tl->attn_k; else if (b == 5) bl = &tl->attn_v;
                    else if (b == 6) bl = &tl->mlp_up;
                    if (bl && r->grad_w[l][b])
                        memset(r->grad_w[l][b], 0, (size_t)bl->in_dim * bl->out_dim * sizeof(float));
                    if (bl && r->grad_b[l][b])
                        memset(r->grad_b[l][b], 0, (size_t)bl->out_dim * sizeof(float));
                }
                if (r->grad_norm1_w[l]) {
                    memset(r->grad_norm1_w[l], 0, m->cfg.n_embd * sizeof(float));
                    memset(r->grad_norm1_b[l], 0, m->cfg.n_embd * sizeof(float));
                    memset(r->grad_norm2_w[l], 0, m->cfg.n_embd * sizeof(float));
                    memset(r->grad_norm2_b[l], 0, m->cfg.n_embd * sizeof(float));
                }
            }
            if (r->grad_wte) memset(r->grad_wte, 0, (size_t)m->cfg.vocab_size * m->cfg.n_embd * sizeof(float));
            if (r->grad_wpe) memset(r->grad_wpe, 0, (size_t)m->cfg.n_ctx * m->cfg.n_embd * sizeof(float));
            if (r->grad_lnfw) {
                memset(r->grad_lnfw, 0, m->cfg.n_embd * sizeof(float));
                memset(r->grad_lnfb, 0, m->cfg.n_embd * sizeof(float));
            }
        }
    }
}

/* ========================================================================
 * Unified Sliding-Window Training (端到端: 训练 = 推理路径)
 * ========================================================================
 * 目的: 让训练和推理用完全相同的前向路径, 消除 train/infer 不一致.
 *
 * 实现策略:
 *   - forward: 用 model_stateful_begin + 逐 token forward (与推理完全一致)
 *     但 act 用 per-thread 的 g_thr[tid].acts[l] (支持 batch 并行 + backward)
 *   - backward: 用 trans_layer_backward_sliding (attention 部分用 sliding 版本)
 *
 * 与原 model_forward/model_batch_backward 的区别:
 *   1. attention 窗口: {0..sink} ∪ {pos-w+1..pos} 两段式 (训练原版是单段跳过 sinks)
 *   2. KV cache 索引: pos % n_ctx 环形 (训练原版是 pos 线性)
 *   3. 位置编码: wpe[pos % n_ctx] (训练原版是 wpe[pos])
 *   4. 逐 token forward, 不做 prefill 加速 (与推理逐 token 一致)
 *
 * 性能影响: 比 model_forward 慢 (不能 prefill 复用), 但保证 train=infer.
 * 单步预计: ~30-40s/step (2 核, vs 原 model_forward 13-17s/step)
 * ===================================================================== */

/* ========================================================================
 * PonderNet 循环思考 — 训练/推理前向反向 (见 lal_ponder.h 头部设计说明)
 * ======================================================================== */
static void ponder_train_forward(Model *m, int tid, int cache_pos, int abs_pos,
                                 int window, int n_sinks, int ctx) {
    int n = m->cfg.n_embd;
    int nL = m->cfg.n_layer;
    int R = g_ponder_cfg.rec_iters;
    int last_block = nL - 1;
    ThrRes *r = &g_thr[tid];
    float *x = r->x;
    PonderBuf *pb = &r->ponder;
    float *mix = r->ponder_mix;
    float halts[LAL_PONDER_MAX_STEPS];
    int step = 0;

    /* A. 逐层停机: 层 0..L-2, 每层一个停机概率, 状态入缓存 */
    if (g_ponder_cfg.layer_halt) {
        for (int l = 0; l < last_block; l++) {
            trans_layer_forward_sliding(x, &m->layers[l], &r->acts[l], &m->cfg,
                                        cache_pos, abs_pos, window, n_sinks, ctx);
            float *s = r->ponder_state + (size_t)step * n;
            memcpy(s, x, n * sizeof(float));
            halts[step] = ponder_halt(&m->ph[l], s, n);
            step++;
        }
    } else {
        for (int l = 0; l < last_block; l++)
            trans_layer_forward_sliding(x, &m->layers[l], &r->acts[l], &m->cfg,
                                        cache_pos, abs_pos, window, n_sinks, ctx);
    }

    /* B. 末块: R≥2 块内循环 (权重共享, 迭代级 PonderNet), R=1 单遍 */
    if (R >= 2) {
        int first_rec = step;
        for (int it = 0; it < R; it++) {
            TransAct *act = (it == 0) ? &r->acts[last_block] : &r->rec_acts[it];
            trans_layer_forward_sliding(x, &m->layers[last_block], act, &m->cfg,
                                        cache_pos, abs_pos, window, n_sinks, ctx);
            if (it == 0) {
                /* 保存迭代0 K/V — 该 token 对外暴露的 K/V (与 context prefill 单遍语义一致) */
                memcpy(r->ponder_kv0k, m->k_cache[last_block] + (size_t)cache_pos * n, n * sizeof(float));
                memcpy(r->ponder_kv0v, m->v_cache[last_block] + (size_t)cache_pos * n, n * sizeof(float));
            } else {
                /* 迭代结束恢复迭代0 K/V: 后续 token 只应 attend 首次通过的 K/V */
                memcpy(m->k_cache[last_block] + (size_t)cache_pos * n, r->ponder_kv0k, n * sizeof(float));
                memcpy(m->v_cache[last_block] + (size_t)cache_pos * n, r->ponder_kv0v, n * sizeof(float));
            }
            float *s = r->ponder_state + (size_t)step * n;
            memcpy(s, x, n * sizeof(float));
            if (it < R - 1) {
                halts[step] = ponder_halt(&m->ph_rec, s, n);
            }
            step++;
        }
        r->ponder_first_rec_step = first_rec;
    } else {
        trans_layer_forward_sliding(x, &m->layers[last_block], &r->acts[last_block], &m->cfg,
                                    cache_pos, abs_pos, window, n_sinks, ctx);
        float *s = r->ponder_state + (size_t)step * n;
        memcpy(s, x, n * sizeof(float));
        step++;
        r->ponder_first_rec_step = step;
    }

    int n_param = step - 1;  /* 末步是 remainder (强制停机) */
    ponder_dist_fill(pb, halts, n_param);

    /* 混合读出: out = Σ c_s·s_s (Σc = 1), 末步 c = 剩余质量 */
    memset(mix, 0, n * sizeof(float));
    for (int s2 = 0; s2 < pb->n_steps; s2++) {
        const float *s = r->ponder_state + (size_t)s2 * n;
        float c = pb->c[s2];
        for (int i = 0; i < n; i++) mix[i] += c * s[i];
    }
    memcpy(x, mix, n * sizeof(float));

    /* 训练日志指标 (ste_train.c 读取) */
    g_ponder_last_al = pb->loss_al;
    g_ponder_last_p = pb->loss_p;
    g_ponder_last_mean = pb->mean_step;
}

static void ponder_train_backward(Model *m, int tid, int window, int n_sinks) {
    int n = m->cfg.n_embd;
    int nL = m->cfg.n_layer;
    int last_block = nL - 1;
    ThrRes *r = &g_thr[tid];
    PonderBuf *pb = &r->ponder;
    float *G = r->gh;        /* 读出梯度 (final norm 反向之后) */
    float *V = r->g_pre4;    /* 滚动梯度缓冲 (norm 反向已用完, 空闲) */

    /* g_l = <G, s_l>: 任务 loss 对停机权重的显式梯度来源 (状态 detach) */
    for (int s = 0; s < pb->n_steps; s++) {
        const float *st = r->ponder_state + (size_t)s * n;
        float d = 0.0f;
        for (int i = 0; i < n; i++) d += G[i] * st[i];
        pb->gdot[s] = d;
    }
    /* 停机单元参数梯度 (dpre 已链到 pre-activation) */
    float dpre[LAL_PONDER_MAX_STEPS];
    ponder_grad(pb, dpre);
    for (int s = 0; s < pb->n_param; s++) {
        PonderLayer *u = (s < r->ponder_first_rec_step) ? &m->ph[s] : &m->ph_rec;
        const float *st = r->ponder_state + (size_t)s * n;
        for (int i = 0; i < n; i++) u->grad_w[i] += dpre[s] * st[i];
        u->grad_b += dpre[s];
    }

    /* 主干链式反传 (c 视作常数, 与 detach 一致):
     * V = c_s·G + 上方链式梯度 → 层/迭代反向就地更新 V */
    memset(V, 0, n * sizeof(float));
    for (int s = pb->n_steps - 1; s >= 0; s--) {
        float c = pb->c[s];
        for (int i = 0; i < n; i++) V[i] += c * G[i];
        if (s < r->ponder_first_rec_step) {
            trans_layer_backward_sliding(V, &m->layers[s], &r->acts[s], &m->cfg,
                                         window, n_sinks, 0.0f);
        } else {
            int it = s - r->ponder_first_rec_step;
            TransAct *act = (it == 0) ? &r->acts[last_block] : &r->rec_acts[it];
            int cp = act->seq_pos % m->cfg.n_ctx;
            /* 恢复该迭代自身 K/V 到 cache 当前位 (attention backward 需重算分数) */
            memcpy(m->k_cache[last_block] + (size_t)cp * n, act->k, n * sizeof(float));
            memcpy(m->v_cache[last_block] + (size_t)cp * n, act->v, n * sizeof(float));
            trans_layer_backward_sliding(V, &m->layers[last_block], act, &m->cfg,
                                         window, n_sinks, 0.0f);
        }
    }
    /* V 现在是 x_0 (embedding 输出) 的梯度 → 交给既有 wte/wpe 尾部逻辑 */
    memcpy(r->gh, V, n * sizeof(float));
}

/* 推理侧 ponder 前向 (stateful, 单线程): 混合读出 + 早退 + 思考深度统计 */
static PonderBuf g_ponder_ibuf;
static float *g_ponder_imix = NULL, *g_ponder_ikv0k = NULL, *g_ponder_ikv0v = NULL;
static int    g_ponder_ibuf_n = 0;

static void ponder_infer_forward(Model *m, int pos, int abs_pos,
                                 int window, int n_sinks) {
    int n = m->cfg.n_embd;
    int nL = m->cfg.n_layer;
    int R = g_ponder_cfg.rec_iters;
    int last_block = nL - 1;
    float *x = g_sctx.x;
    if (!g_ponder_imix || g_ponder_ibuf_n != n) {
        free(g_ponder_imix); free(g_ponder_ikv0k); free(g_ponder_ikv0v);
        g_ponder_imix  = malloc(n * sizeof(float));
        g_ponder_ikv0k = malloc(n * sizeof(float));
        g_ponder_ikv0v = malloc(n * sizeof(float));
        g_ponder_ibuf_n = n;
    }
    PonderBuf *pb = &g_ponder_ibuf;
    memset(pb, 0, sizeof(*pb));
    float *mix = g_ponder_imix;
    memset(mix, 0, n * sizeof(float));
    float Rm = 1.0f, ms = 0.0f;
    int step = 0, early_exit = 0, exited_layer = -1;

    if (g_ponder_cfg.layer_halt) {
        for (int l = 0; l < last_block; l++) {
            trans_layer_forward_sliding(x, &m->layers[l], &m->acts[l], &m->cfg,
                                        pos, abs_pos, window, n_sinks, pos + 1);
            float p = ponder_halt(&m->ph[l], x, n);
            float c = Rm * p;
            for (int i = 0; i < n; i++) mix[i] += c * x[i];
            ms += (float)step * c;
            Rm *= (1.0f - p);
            pb->c[step] = c;
            step++;
            if (step >= g_ponder_cfg.infer_min_layer && Rm <= 1.0f - g_ponder_cfg.threshold) {
                early_exit = 1; exited_layer = l; break;
            }
        }
    } else {
        for (int l = 0; l < last_block; l++)
            trans_layer_forward_sliding(x, &m->layers[l], &m->acts[l], &m->cfg,
                                        pos, abs_pos, window, n_sinks, pos + 1);
    }

    if (!early_exit) {
        if (R >= 2) {
            for (int it = 0; it < R; it++) {
                TransAct *act = (it == 0) ? &m->acts[last_block] : &m->rec_acts[it];
                trans_layer_forward_sliding(x, &m->layers[last_block], act, &m->cfg,
                                            pos, abs_pos, window, n_sinks, pos + 1);
                if (it == 0) {
                    memcpy(g_ponder_ikv0k, m->k_cache[last_block] + (size_t)pos * n, n * sizeof(float));
                    memcpy(g_ponder_ikv0v, m->v_cache[last_block] + (size_t)pos * n, n * sizeof(float));
                } else {
                    memcpy(m->k_cache[last_block] + (size_t)pos * n, g_ponder_ikv0k, n * sizeof(float));
                    memcpy(m->v_cache[last_block] + (size_t)pos * n, g_ponder_ikv0v, n * sizeof(float));
                }
                float p = ponder_halt(&m->ph_rec, x, n);
                float c = Rm * p;
                for (int i = 0; i < n; i++) mix[i] += c * x[i];
                ms += (float)step * c;
                Rm *= (1.0f - p);
                pb->c[step] = c;
                step++;
                if (step >= g_ponder_cfg.infer_min_layer && Rm <= 1.0f - g_ponder_cfg.threshold) {
                    early_exit = 1;  /* 块内早退: cache 已含迭代0 K/V, 无物理层被跳过 */
                    break;
                }
            }
        } else {
            trans_layer_forward_sliding(x, &m->layers[last_block], &m->acts[last_block], &m->cfg,
                                        pos, abs_pos, window, n_sinks, pos + 1);
        }
    }

    if (early_exit && exited_layer >= 0) {
        /* 层间早退: 被跳过的物理层用当前状态填 K/V (已收敛近似), 保证后续 token attention 完整 */
        for (int lb = exited_layer + 1; lb <= last_block; lb++)
            trans_layer_forward_kv_only_sliding(x, &m->layers[lb], &m->acts[lb], &m->cfg, pos, abs_pos);
    }
    /* 剩余质量加在当前状态上 */
    for (int i = 0; i < n; i++) mix[i] += Rm * x[i];
    ms += (float)step * Rm;
    pb->c[step] = Rm;
    step++;
    pb->n_steps = step;
    pb->n_param = step - 1;
    pb->mean_step = ms;

    memcpy(x, mix, n * sizeof(float));
    ponder_stats_record(pb, early_exit);
}

float model_forward_sliding(Model *m, const int *tokens, int n_tokens) {
    int n = m->cfg.n_embd;
    int nL = m->cfg.n_layer;
    int tid = g_cur_tid;
    int ctx = m->cfg.n_ctx;
    int window = g_attn_window > 0 ? g_attn_window : ctx;
    int n_sinks = g_attn_sink;
    int t = n_tokens - 1;  /* 预测 tokens[t+1] from context tokens[0..t] */

    /* 训练时也用 stateful 机制: 开始前 reset KV cache (与推理 model_stateful_begin 一致).
     * 但不用 g_sctx 的 act (那是推理用的全局 act), 而用 per-thread g_thr[tid].acts. */
    if (!m->k_cache) model_kv_cache_alloc(m);

    /* [加速] prefill 复用: 同一样本的多个 pred_pos (1, 1+stride, ...) 共享 context.
     * 训练循环里 pred_pos 严格递增, 之前 prefill 到 last_prefill_to 的 KV cache
     * 仍然有效, 只需 forward last_prefill_to..t 这一段.
     * 当样本切换 (tokens 指针不同) 时, 清 cache 重新 prefill 全程.
     * 复用率: n_preds=3 时 ~2/3 prefill 计算量节省. */
    static __thread int last_prefill_to = -1;
    static __thread const int *last_tokens = NULL;
    int prefill_from = 0;
    int need_clear = 0;
    if (tokens != last_tokens) {
        /* 样本切换: 清 KV cache */
        need_clear = 1;
        prefill_from = 0;
        last_prefill_to = -1;
    } else if (t > last_prefill_to) {
        /* 同一样本, pred_pos 递增: 复用 [0, last_prefill_to] 的 KV cache */
        prefill_from = last_prefill_to + 1;
        if (prefill_from > t) prefill_from = t;
    } else {
        /* t <= last_prefill_to: 不可能 (pred_pos 递增), 安全处理 */
        need_clear = 1;
        prefill_from = 0;
        last_prefill_to = -1;
    }
    if (need_clear) {
        size_t per_layer = (size_t)ctx * n * sizeof(float);
        for (int l = 0; l < nL; l++) {
            memset(m->k_cache[l], 0, per_layer);
            memset(m->v_cache[l], 0, per_layer);
        }
        if (g_concept_attn_cfg.enable && g_messenger_caches) model_messenger_caches_reset();
    }

    /* 逐 token forward (与推理 model_stateful_forward_sliding 完全一致, 但用 per-thread act).
     * [加速] 中间 token (p < t) 用 kv_only 快速路径: 只算 K/V 存 cache, 跳过 attn_o/MLP.
     *        最后一个 token (p == t) 走完整 trans_layer_forward_sliding (含 attn_o/MLP).
     *        backward 只对最后一个 token 做, 所以中间 token 的 act 不需要完整保存.
     * 节省 ~60% 计算量 (attn_o + MLP 占层 forward 的大头).
     * [加速] prefill_from > 0 时跳过已缓存的 token. */
    float *x = g_thr[tid].x;
    for (int p = prefill_from; p <= t; p++) {
        /* embedding + position (与推理一致: wpe[pos % ctx]) */
        int pe_pos = p % ctx;
        for (int i = 0; i < n; i++) {
            x[i] = m->wte[(size_t)tokens[p] * n + i];
            if (m->wpe) x[i] += m->wpe[(size_t)pe_pos * n + i];
        }
        int cache_pos = p % ctx;
        if (p < t) {
            /* 中间 token: kv_only 快速路径 (只存 K/V, 不算 attn_o/MLP) */
            for (int l = 0; l < nL; l++)
                trans_layer_forward_kv_only_sliding(x, &m->layers[l], &g_thr[tid].acts[l], &m->cfg,
                                                     cache_pos, p);
        } else if (g_ponder_cfg.enable && m->ponder_ready) {
            /* 最后一个 token: PonderNet 循环思考前向 (逐层停机 + 块内循环 + 混合读出) */
            ponder_train_forward(m, tid, cache_pos, p, window, n_sinks, ctx);
        } else {
            /* 最后一个 token: 完整 forward (act 供 backward 使用) */
            for (int l = 0; l < nL; l++)
                trans_layer_forward_sliding(x, &m->layers[l], &g_thr[tid].acts[l], &m->cfg,
                                             cache_pos, p, window, n_sinks, ctx);
        }
    }
    last_prefill_to = t;
    last_tokens = tokens;

    /* 最终 norm + logits (与推理一致) */
    memcpy(g_thr[tid].x_before_final, x, n * sizeof(float));
    norm_forward(g_thr[tid].final_ln, x, m->ln_f_w, m->ln_f_b, m->cfg.norm_type, n);
    compute_mean_std(g_thr[tid].x_before_final, n, &g_thr[tid].final_mean, &g_thr[tid].final_std_inv);
    /* 同步写一份到 m->final_ln (兼容诊断代码) */
    if (m->final_ln) memcpy(m->final_ln, g_thr[tid].final_ln, n * sizeof(float));

    int target = tokens[n_tokens];
    float *g_full_logits = g_thr[tid].full_logits;
    g_thr[tid].forward_done = 1;
    return cross_entropy_full(g_thr[tid].final_ln, m->wte, target, m->cfg.vocab_size, n, g_full_logits);
}

void model_backward_sliding(Model *m, const int *tokens, int n_tokens) {
    int prev = g_accumulate_gradients;
    g_accumulate_gradients = 1;

    int n = m->cfg.n_embd;
    int nL = m->cfg.n_layer;
    int ctx = m->cfg.n_ctx;
    int window = g_attn_window > 0 ? g_attn_window : ctx;
    int n_sinks = g_attn_sink;
    int target = tokens[n_tokens];
    int tid = g_cur_tid;
    int t = n_tokens - 1;
    float *gh = g_thr[tid].gh;
    float *g_full_logits = g_thr[tid].full_logits;

    /* CE gradient (与 model_batch_backward 一致) */
    if (!g_thr[tid].forward_done) {
        cross_entropy_full(g_thr[tid].final_ln, m->wte, target, m->cfg.vocab_size, n, g_full_logits);
    }
    cross_entropy_full_grad(gh, g_thr[tid].final_ln, m->wte, target, m->cfg.vocab_size, n, g_full_logits);
    g_thr[tid].forward_done = 0;

    /* Gradient clipping */
    float gnorm = 0;
    for (int i = 0; i < n; i++) gnorm += gh[i] * gh[i];
    gnorm = sqrtf(gnorm);
    if (gnorm > 1.0f) { float clip = 1.0f / gnorm; for (int i = 0; i < n; i++) gh[i] *= clip; }

    /* Backprop through final norm */
    float *g_pre = g_thr[tid].g_pre4;
    norm_backward(g_pre, gh, g_thr[tid].x_before_final, m->ln_f_w,
                  (float[]){g_thr[tid].final_mean, g_thr[tid].final_std_inv}, m->cfg.norm_type, n,
                  g_thr[tid].grad_lnfw, g_thr[tid].grad_lnfb);
    memcpy(gh, g_pre, n * sizeof(float));

    /* 关键: 只对最后一个 token (位置 t) 做 backward.
     * 与原 model_batch_backward 一致 —— attention_backward_sliding 把 cached K/V
     * 当常量, 只算当前 token 的 Q/K/V 梯度. 不需要回传到前面所有 token. */
    if (g_ponder_cfg.enable && m->ponder_ready) {
        /* PonderNet 循环思考反传: c_s 加权链式 + 停机单元显式梯度 */
        ponder_train_backward(m, tid, window, n_sinks);
    } else {
        for (int l = nL - 1; l >= 0; l--)
            trans_layer_backward_sliding(gh, &m->layers[l], &g_thr[tid].acts[l], &m->cfg,
                                          window, n_sinks, 0.0f);
    }

    /* wte 梯度: 只给最后一个 token (与原版一致) */
    if (m->grad_wte_accum) {
        int input_token = tokens[n_tokens - 1];
        if (input_token >= 0 && input_token < m->cfg.vocab_size) {
            float *gw = &g_thr[tid].grad_wte[(size_t)input_token * n];
            for (int i = 0; i < n; i++)
                gw[i] += gh[i];
        }
    }

    /* wpe 梯度: 给所有位置 (与原版一致, 平均) */
    if (m->grad_wpe_accum) {
        int n_pos = n_tokens;
        if (n_pos > 0 && n_pos <= m->cfg.n_ctx) {
            float inv_npos = 1.0f / (float)n_pos;
            for (int pos = 0; pos < n_pos; pos++) {
                float *gw = &g_thr[tid].grad_wpe[(size_t)pos * n];
                for (int i = 0; i < n; i++)
                    gw[i] += gh[i] * inv_npos;
            }
        }
    }

    g_accumulate_gradients = prev;
}

void model_batch_apply(Model *m, float lr, int batch_size) {
    /* Apply accumulated gradients with Adam, averaged by batch_size.
     * This does ONE optimizer step for the entire batch. */
    int n = m->cfg.n_embd;
    float inv_batch = 1.0f / (float)batch_size;

    for (int l = 0; l < m->cfg.n_layer; l++) {
        TransLayer *tl = &m->layers[l];
        BinLayer *bls[8] = {&tl->attn_q, &tl->attn_o, &tl->mlp_gate, &tl->mlp_down};
        int n_bl = 4;
        if (!m->cfg.qkv_merged) { bls[4] = &tl->attn_k; bls[5] = &tl->attn_v; n_bl = 6; }
        if (m->cfg.act_type == ACT_SWIGLU) { bls[n_bl] = &tl->mlp_up; n_bl++; }

        for (int b = 0; b < n_bl; b++) {
            BinLayer *bl = bls[b];
            if (!bl->grad_accum || !bl->w_float) continue;

            int in = bl->in_dim, out = bl->out_dim;
            int t = g_opt_step + 1;
            float bc1 = 1.0f - powf(g_adam_beta1, (float)t);
            float bc2 = 1.0f - powf(g_adam_beta2, (float)t);

            /* === LAL-aware Adam: group-wise second moment ===
             * Standard Adam normalizes per-parameter: update = m / sqrt(v_per_param)
             * This erases CORE/BINARY gradient differences because large CORE
             * gradients produce large v, reducing the effective update.
             *
             * LAL-aware Adam shares v within each group (CORE, BINARY):
             *   v_core = EMA(mean(||grad_core||^2))  -- shared across ALL CORE params
             *   v_bin  = EMA(mean(||grad_bin||^2))   -- shared across ALL BINARY params
             *   update = m[i] / sqrt(v_group)        -- group-normalized
             *
             * This preserves relative gradient magnitudes: if CORE has 3x
             * larger gradients than BINARY, the update is 3x larger too.
             * Combined with g_core_lr_multiplier, CORE truly learns faster.
             *
             * PRUNE neurons: weight decay toward 0 + freeze if small. */
            if (g_use_lal_adam && bl->logic_mask) {
                /* Step 1: Compute group-wise gradient energy */
                float core_g_sq = 0, bin_g_sq = 0;
                int n_core = 0, n_bin = 0;
                for (int j = 0; j < out; j++) {
                    uint8_t m = bl->logic_mask[j];
                    if (m == 2) continue;
                    const float *ga = &bl->grad_accum[j * in];
                    float row_sq = 0;
                    for (int i = 0; i < in; i++) row_sq += ga[i] * ga[i];
                    row_sq /= in;  /* per-param average within this neuron */
                    if (m == 0) { core_g_sq += row_sq; n_core++; }
                    else        { bin_g_sq  += row_sq; n_bin++;  }
                }
                core_g_sq = n_core > 0 ? core_g_sq / n_core : 0;
                bin_g_sq  = n_bin  > 0 ? bin_g_sq  / n_bin  : 0;

                /* Step 2: EMA update of group v (persist across steps) */
                /* Store in first CORE/BINARY neuron's v_adam[0] as proxy.
                 * This is safe because v_adam is per-param and we only
                 * read v_adam[0] of the first neuron in each group. */
                int core_first = -1, bin_first = -1;
                for (int j = 0; j < out; j++) {
                    uint8_t m = bl->logic_mask[j];
                    if (m == 0 && core_first < 0) core_first = j;
                    if (m == 1 && bin_first  < 0) bin_first  = j;
                }

                float core_v, bin_v;
                if (g_use_adam && bl->v_adam) {
                    if (core_first >= 0) {
                        bl->v_adam[core_first * in] =
                            g_adam_beta2 * bl->v_adam[core_first * in] +
                            (1.0f - g_adam_beta2) * core_g_sq;
                        core_v = bl->v_adam[core_first * in] / bc2;
                    } else core_v = 1e-8f;
                    if (bin_first >= 0) {
                        bl->v_adam[bin_first * in] =
                            g_adam_beta2 * bl->v_adam[bin_first * in] +
                            (1.0f - g_adam_beta2) * bin_g_sq;
                        bin_v = bl->v_adam[bin_first * in] / bc2;
                    } else bin_v = 1e-8f;
                } else {
                    core_v = core_g_sq;
                    bin_v = bin_g_sq;
                }
                float core_sqrt_v = sqrtf(core_v) + g_adam_eps;
                float bin_sqrt_v  = sqrtf(bin_v)  + g_adam_eps;

                /* Step 3: Update weights using group-wise normalization
                 * [加速] OpenMP 并行: 每行 j 独立更新, 无数据依赖 */
                #pragma omp parallel for schedule(static)
                for (int j = 0; j < out; j++) {
                    uint8_t m = bl->logic_mask[j];
                    float *wf = &bl->w_float[j * in];

                    if (m == 2) {
                        /* PRUNE: weight decay toward zero */
                        for (int i = 0; i < in; i++) {
                            float w = wf[i] * (1.0f - g_prune_decay);
                            if (fabsf(w) < g_prune_freeze_thresh) w = 0.0f;
                            wf[i] = w;
                        }
                        continue;
                    }

                    float lr_j = (m == 0) ? lr * g_core_lr_multiplier : lr;
                    /* BUG #22 FIX: use the right group's sqrt_v for each neuron.
                     * Previously hardcoded bin_sqrt_v for BOTH groups, which
                     * artificially amplified CORE updates (CORE has 10x larger
                     * gradients from alpha=2 vs beta=0.2 + sqrt(807/201) normalization,
                     * so core_v >> bin_v; using bin_sqrt_v as denominator makes
                     * CORE effective lr explode on top of g_core_lr_multiplier=3.0).
                     *
                     * With this fix, each group is normalized by its own
                     * second moment — relative gradient magnitudes within a
                     * group are preserved, and cross-group scaling is left
                     * to g_core_lr_multiplier alone. */
                    float sqrt_v = (m == 0) ? core_sqrt_v : bin_sqrt_v;
                    float *ga = &bl->grad_accum[j * in];

                    if (g_use_adam && bl->m_adam) {
                        float *ma = &bl->m_adam[j * in];
                        for (int i = 0; i + 7 < in; i += 8) {
                            float g0=ga[i+0]*inv_batch, g1=ga[i+1]*inv_batch;
                            float g2=ga[i+2]*inv_batch, g3=ga[i+3]*inv_batch;
                            float g4=ga[i+4]*inv_batch, g5=ga[i+5]*inv_batch;
                            float g6=ga[i+6]*inv_batch, g7=ga[i+7]*inv_batch;
                            ma[i+0]=g_adam_beta1*ma[i+0]+(1.0f-g_adam_beta1)*g0;
                            ma[i+1]=g_adam_beta1*ma[i+1]+(1.0f-g_adam_beta1)*g1;
                            ma[i+2]=g_adam_beta1*ma[i+2]+(1.0f-g_adam_beta1)*g2;
                            ma[i+3]=g_adam_beta1*ma[i+3]+(1.0f-g_adam_beta1)*g3;
                            ma[i+4]=g_adam_beta1*ma[i+4]+(1.0f-g_adam_beta1)*g4;
                            ma[i+5]=g_adam_beta1*ma[i+5]+(1.0f-g_adam_beta1)*g5;
                            ma[i+6]=g_adam_beta1*ma[i+6]+(1.0f-g_adam_beta1)*g6;
                            ma[i+7]=g_adam_beta1*ma[i+7]+(1.0f-g_adam_beta1)*g7;
                            /* GROUP-WISE v: use sqrt_v, not per-param v */
                            wf[i+0]-=lr_j*(ma[i+0]/bc1)/sqrt_v;
                            wf[i+1]-=lr_j*(ma[i+1]/bc1)/sqrt_v;
                            wf[i+2]-=lr_j*(ma[i+2]/bc1)/sqrt_v;
                            wf[i+3]-=lr_j*(ma[i+3]/bc1)/sqrt_v;
                            wf[i+4]-=lr_j*(ma[i+4]/bc1)/sqrt_v;
                            wf[i+5]-=lr_j*(ma[i+5]/bc1)/sqrt_v;
                            wf[i+6]-=lr_j*(ma[i+6]/bc1)/sqrt_v;
                            wf[i+7]-=lr_j*(ma[i+7]/bc1)/sqrt_v;
                        }
                        for (int i = (in/8)*8; i < in; i++) {
                            float g = ga[i]*inv_batch;
                            ma[i]=g_adam_beta1*ma[i]+(1.0f-g_adam_beta1)*g;
                            wf[i]-=lr_j*(ma[i]/bc1)/sqrt_v;
                        }
                    } else {
                        float scale = lr_j * inv_batch / sqrt_v;
                        for (int i = 0; i + 7 < in; i += 8) {
                            wf[i+0]-=scale*ga[i+0]; wf[i+1]-=scale*ga[i+1];
                            wf[i+2]-=scale*ga[i+2]; wf[i+3]-=scale*ga[i+3];
                            wf[i+4]-=scale*ga[i+4]; wf[i+5]-=scale*ga[i+5];
                            wf[i+6]-=scale*ga[i+6]; wf[i+7]-=scale*ga[i+7];
                        }
                        for (int i = (in/8)*8; i < in; i++)
                            wf[i] -= scale * ga[i];
                    }
                    bl->bias[j] -= lr_j * bl->bias_grad_accum[j] * inv_batch;
                }
                /* Skip standard Adam loop — already done above */
                goto layer_done;
            }

            /* [加速] OpenMP 并行: 标准 Adam 路径也并行 */
            #pragma omp parallel for schedule(static)
            for (int j = 0; j < out; j++) {
                if (bl->logic_mask && bl->logic_mask[j] == 2) continue;
                /* CORE neurons get boosted learning rate for faster differentiation */
                float lr_j = lr;
                if (bl->logic_mask && bl->logic_mask[j] == 0)
                    lr_j = lr * g_core_lr_multiplier;
                float *wf = &bl->w_float[j * in];
                float *ga = &bl->grad_accum[j * in];

                if (g_use_adam && bl->m_adam) {
                    float *ma = &bl->m_adam[j * in];
                    float *va = &bl->v_adam[j * in];
                    for (int i = 0; i + 7 < in; i += 8) {
                        /* Average gradient over batch */
                        float g0 = ga[i+0]*inv_batch, g1 = ga[i+1]*inv_batch;
                        float g2 = ga[i+2]*inv_batch, g3 = ga[i+3]*inv_batch;
                        float g4 = ga[i+4]*inv_batch, g5 = ga[i+5]*inv_batch;
                        float g6 = ga[i+6]*inv_batch, g7 = ga[i+7]*inv_batch;
                        /* Adam moment updates */
                        ma[i+0]=g_adam_beta1*ma[i+0]+(1.0f-g_adam_beta1)*g0;
                        ma[i+1]=g_adam_beta1*ma[i+1]+(1.0f-g_adam_beta1)*g1;
                        ma[i+2]=g_adam_beta1*ma[i+2]+(1.0f-g_adam_beta1)*g2;
                        ma[i+3]=g_adam_beta1*ma[i+3]+(1.0f-g_adam_beta1)*g3;
                        ma[i+4]=g_adam_beta1*ma[i+4]+(1.0f-g_adam_beta1)*g4;
                        ma[i+5]=g_adam_beta1*ma[i+5]+(1.0f-g_adam_beta1)*g5;
                        ma[i+6]=g_adam_beta1*ma[i+6]+(1.0f-g_adam_beta1)*g6;
                        ma[i+7]=g_adam_beta1*ma[i+7]+(1.0f-g_adam_beta1)*g7;
                        va[i+0]=g_adam_beta2*va[i+0]+(1.0f-g_adam_beta2)*g0*g0;
                        va[i+1]=g_adam_beta2*va[i+1]+(1.0f-g_adam_beta2)*g1*g1;
                        va[i+2]=g_adam_beta2*va[i+2]+(1.0f-g_adam_beta2)*g2*g2;
                        va[i+3]=g_adam_beta2*va[i+3]+(1.0f-g_adam_beta2)*g3*g3;
                        va[i+4]=g_adam_beta2*va[i+4]+(1.0f-g_adam_beta2)*g4*g4;
                        va[i+5]=g_adam_beta2*va[i+5]+(1.0f-g_adam_beta2)*g5*g5;
                        va[i+6]=g_adam_beta2*va[i+6]+(1.0f-g_adam_beta2)*g6*g6;
                        va[i+7]=g_adam_beta2*va[i+7]+(1.0f-g_adam_beta2)*g7*g7;
                        /* Bias-corrected update */
                        float mh0=ma[i+0]/bc1, mh1=ma[i+1]/bc1;
                        float mh2=ma[i+2]/bc1, mh3=ma[i+3]/bc1;
                        float mh4=ma[i+4]/bc1, mh5=ma[i+5]/bc1;
                        float mh6=ma[i+6]/bc1, mh7=ma[i+7]/bc1;
                        float vh0=sqrtf(va[i+0]/bc2)+g_adam_eps;
                        float vh1=sqrtf(va[i+1]/bc2)+g_adam_eps;
                        float vh2=sqrtf(va[i+2]/bc2)+g_adam_eps;
                        float vh3=sqrtf(va[i+3]/bc2)+g_adam_eps;
                        float vh4=sqrtf(va[i+4]/bc2)+g_adam_eps;
                        float vh5=sqrtf(va[i+5]/bc2)+g_adam_eps;
                        float vh6=sqrtf(va[i+6]/bc2)+g_adam_eps;
                        float vh7=sqrtf(va[i+7]/bc2)+g_adam_eps;
                        wf[i+0]-=lr_j*mh0/vh0; wf[i+1]-=lr_j*mh1/vh1;
                        wf[i+2]-=lr_j*mh2/vh2; wf[i+3]-=lr_j*mh3/vh3;
                        wf[i+4]-=lr_j*mh4/vh4; wf[i+5]-=lr_j*mh5/vh5;
                        wf[i+6]-=lr_j*mh6/vh6; wf[i+7]-=lr_j*mh7/vh7;
                    }
                    for (int i = (in/8)*8; i < in; i++) {
                        float g = ga[i]*inv_batch;
                        ma[i]=g_adam_beta1*ma[i]+(1.0f-g_adam_beta1)*g;
                        va[i]=g_adam_beta2*va[i]+(1.0f-g_adam_beta2)*g*g;
                        wf[i]-=lr_j*(ma[i]/bc1)/(sqrtf(va[i]/bc2)+g_adam_eps);
                    }
                } else {
                    /* SGD: w -= lr * avg_grad */
                    float scale = lr_j * inv_batch;
                    for (int i = 0; i + 7 < in; i += 8) {
                        wf[i+0]-=scale*ga[i+0]; wf[i+1]-=scale*ga[i+1];
                        wf[i+2]-=scale*ga[i+2]; wf[i+3]-=scale*ga[i+3];
                        wf[i+4]-=scale*ga[i+4]; wf[i+5]-=scale*ga[i+5];
                        wf[i+6]-=scale*ga[i+6]; wf[i+7]-=scale*ga[i+7];
                    }
                    for (int i = (in/8)*8; i < in; i++)
                        wf[i] -= scale * ga[i];
                }
                /* Update bias */
                bl->bias[j] -= lr_j * bl->bias_grad_accum[j] * inv_batch;
            }

layer_done:
/* BUG #54 FIX 方案I + v10: 定期检查 W_v effective rank + decay 0.999
             *
             * 根因: 正反馈循环让 W_v 退化为 rank-1
             * v8 step100 rank=300 (好), step200 rank=5 (退化)
             *
             * 方案I: 每 50 步检查 W_v 的 effective rank,
             * 如果 rank 太低 (Frobenius/max_row 比值 < 5), 用 Xavier 重新初始化.
             *
             * v10: decay 0.99→0.999 (0.999^200=0.819 vs 0.99^200=0.134)
             *      数值 rank 从 5→509, 但 S[0] 仍主导 (eff_rank 5-8)
             *      下一步需 orthogonal regularization 来 cap S[0]
             *
             * 近似 rank: ||W||_F / ||W||_max_row
             * 满秩时 ≈ sqrt(out), rank-1 时 ≈ 1
             */
            if (b == 0 && m->cfg.qkv_merged) {
                int n = m->cfg.n_embd;
                int in = bl->in_dim;
                /* 只检查 W_v 部分 (rows 2*n 到 3*n) */
                float frob_sq = 0, max_row_sq = 0;
                for (int j = 2*n; j < 3*n; j++) {
                    float *wf = &bl->w_float[(size_t)j * in];
                    float row_sq = 0;
                    for (int i = 0; i < in; i++) row_sq += wf[i] * wf[i];
                    frob_sq += row_sq;
                    if (row_sq > max_row_sq) max_row_sq = row_sq;
                }
                float frob = sqrtf(frob_sq);
                float max_row = sqrtf(max_row_sq);
                float approx_rank = frob / (max_row + 1e-12f);
                if (g_opt_step % 50 == 49) {
                    printf("    [plan-I] step %d W_v approx_rank=%.1f (frob=%.2f max_row=%.2f)\n",
                           g_opt_step, approx_rank, frob, max_row);
                }

                /* v10: W_v weight decay 0.999 + noise
                 * v13l: Skip when g_skip_wv — W_v not in forward path, no need to regularize */
                if (!g_skip_wv) {
                for (int j = 2*n; j < 3*n; j++) {
                    float *wf = &bl->w_float[(size_t)j * in];
                    for (int i = 0; i < in; i++) {
                        wf[i] *= 0.999f;  /* v10: gentle decay, 0.999^200=0.819 */
                        wf[i] += 0.001f * ((float)rand() / RAND_MAX * 2.0f - 1.0f);  /* noise */
                    }
                }
                } /* end !g_skip_wv */

                /* v11+v13l: Orthogonal regularization on W_v
                 * Loss += lambda * ||W_v^T @ W_v - I||^2_F
                 * Gradient: dW_v = 4 * lambda * W_v @ (W_v^T @ W_v - I)
                 *
                 * v13l enhancements:
                 *   - Increased lambda 0.02→0.05 for stronger rank promotion
                 *   - Added diagonal variance penalty: encourages uniform singular values
                 *     (high effective rank). When all diag(G) entries are equal,
                 *     all singular values are equal → maximum effective rank.
                 *   - Skip when g_skip_wv (W_v not in forward path)
                 *
                 * Effect: pulls all singular values toward 1.
                 *   - Caps S[0] (currently 30-72) down toward 1
                 *   - Boosts S[1:] (currently 1-2.5) up toward 1
                 *   - SVD: if W = U S V^T, then W^T W = V S^2 V^T
                 *     Gradient W @ (W^T W - I) = U S V^T V (S^2 - I) V^T = U S (S^2-I) V^T
                 *     So dW_v moves S[i] toward: S[i] - 4*lambda*S[i]*(S[i]^2-1)
                 *     S[0]>1 → decrease, S[i]<1 → increase. Perfect!
                 *
                 * Compute: G = W_v^T @ W_v  (n x n, only n=512)
                 *          G -= I
                 *          dW_v = 4 * lambda * W_v @ G
                 * Cost: 2 * n^2 * n = 2 * 512^3 ≈ 268M FLOPs per layer (negligible vs training) */
                if (!g_skip_wv) {
                    float lambda_ortho = 0.05f;  /* v13l: increased 0.02→0.05 for stronger rank promotion */
                    /* Allocate G on stack: n x n = 512*512 = 262144 floats = 1MB */
                    /* Use static to avoid stack overflow */
                    static float *G = NULL;
                    static int G_n = 0;
                    if (G_n != n) {
                        free(G);
                        G = (float *)malloc((size_t)n * n * sizeof(float));
                        G_n = n;
                    }

                    /* Step 1: G = W_v^T @ W_v  (original strided version) */
                    for (int i = 0; i < n; i++) {
                        for (int j = i; j < n; j++) {
                            float dot = 0;
                            for (int k = 0; k < n; k++) {
                                float *wf_row = &bl->w_float[(size_t)(2*n + k) * in];
                                dot += wf_row[i] * wf_row[j];
                            }
                            G[i * n + j] = dot;
                            G[j * n + i] = dot;
                        }
                    }

                    /* Step 2: G -= I */
                    /* v13l: compute effective rank (participation ratio) before I subtraction
                     * eff_rank = (trace(G))^2 / trace(G^2) = (sum s_i^2)^2 / sum(s_i^4)
                     * Full rank → n, rank-1 → 1. Monitor this to track rank improvement. */
                    float tr_G = 0, tr_G2 = 0;
                    for (int i = 0; i < n; i++) tr_G += G[i * n + i];
                    for (int i = 0; i < n; i++) {
                        for (int j = 0; j < n; j++) {
                            tr_G2 += G[i * n + j] * G[i * n + j];  /* Frobenius of G = trace(G^2) for symmetric */
                        }
                    }
                    float eff_rank = (tr_G * tr_G) / (tr_G2 + 1e-12f);

                    for (int i = 0; i < n; i++)
                        G[i * n + i] -= 1.0f;

                    /* Step 3: dW_v = 4 * lambda * W_v @ G, apply directly to w_float */
                    /* W_v[k][i] -= 4 * lambda * sum_j W_v[k][j] * G[j][i] */
                    float scale = 4.0f * lambda_ortho;
                    for (int k = 0; k < n; k++) {
                        float *wf_row = &bl->w_float[(size_t)(2*n + k) * in];
                        for (int i = 0; i < n; i++) {
                            float grad = 0;
                            for (int j = 0; j < n; j++)
                                grad += wf_row[j] * G[j * n + i];
                            wf_row[i] -= scale * grad;
                        }
                    }

                    /* Log orthogonal regularization stats every 50 steps */
                    if (g_opt_step % 50 == 49) {
                        /* Recompute Frobenius of (W^T W - I) for monitoring */
                        float off_diag = 0, diag_dev = 0;
                        for (int i = 0; i < n; i++) {
                            diag_dev += G[i * n + i] * G[i * n + i];
                            for (int j = 0; j < n; j++) {
                                if (i != j) off_diag += G[i * n + j] * G[i * n + j];
                            }
                        }
                        printf("    [ortho] step %d L%d W_v off_diag=%.2f diag_dev=%.4f eff_rank=%.1f/%d\n",
                               g_opt_step, l, off_diag, diag_dev, eff_rank, n);
                    }
                }

                /* v11b: Orthogonal regularization on W_o (attn_o)
                 * 和 W_v 同样的正则化, 防止 W_o rank-1 退化
                 * W_o 是 b==1, 独立的 n×n 矩阵 (不是 QKV merged) */
                if (b == 1) {
                    float lambda_ortho = 0.05f;  /* v13l: increased 0.02→0.05 */
                    static float *Go = NULL;
                    static int Go_n = 0;
                    if (Go_n != n) {
                        free(Go);
                        Go = (float *)malloc((size_t)n * n * sizeof(float));
                        Go_n = n;
                    }
                    int in_o = bl->in_dim;
                    /* G = W_o^T @ W_o  (W_o shape [n, in=n]) */
                    for (int i = 0; i < n; i++) {
                        for (int j = i; j < n; j++) {
                            float dot = 0;
                            for (int k = 0; k < n; k++) {
                                float *wf_row = &bl->w_float[(size_t)k * in_o];
                                dot += wf_row[i] * wf_row[j];
                            }
                            Go[i * n + j] = dot;
                            Go[j * n + i] = dot;
                        }
                    }
                    /* G -= I */
                    for (int i = 0; i < n; i++) Go[i * n + i] -= 1.0f;
                    /* dW_o = 4 * lambda * W_o @ G */
                    float scale_o = 4.0f * lambda_ortho;
                    for (int k = 0; k < n; k++) {
                        float *wf_row = &bl->w_float[(size_t)k * in_o];
                        for (int i = 0; i < n; i++) {
                            float grad = 0;
                            for (int j = 0; j < n; j++)
                                grad += wf_row[j] * Go[j * n + i];
                            wf_row[i] -= scale_o * grad;
                        }
                    }
                    if (g_opt_step % 50 == 49) {
                        float off_diag = 0, diag_dev = 0;
                        for (int i = 0; i < n; i++) {
                            diag_dev += Go[i * n + i] * Go[i * n + i];
                            for (int j = 0; j < n; j++) {
                                if (i != j) off_diag += Go[i * n + j] * Go[i * n + j];
                            }
                        }
                        printf("    [ortho] step %d L%d W_o off_diag=%.2f diag_dev=%.4f\n",
                               g_opt_step, l, off_diag, diag_dev);
                    }
                }
            }
            /* v12: Orthogonal regularization on W_o (attn output projection)
             * Same formula as W_v: Loss += lambda * ||W_o^T @ W_o - I||^2_F
             * Gradient: dW_o = 4 * lambda * W_o @ (W_o^T @ W_o - I)
             *
             * v11 SVD showed W_o eff_rank=5-11 (severely rank-deficient).
             * This causes layer collapse: different inputs project to same
             * low-dimensional subspace → cosine(火,水)→1.0 after attention.
             *
             * W_o is the entire BinLayer (b==1), shape [n_embd, n_embd].
             * Simpler than W_v (no QKV merge offset needed). */
            if (b == 1) {
                int n = m->cfg.n_embd;
                int in = bl->in_dim;
                float lambda_ortho_o = 0.05f;  /* v13l: increased 0.02→0.05 */

                static float *Go = NULL;
                static int Go_n = 0;
                if (Go_n != n) {
                    free(Go);
                    Go = (float *)malloc((size_t)n * n * sizeof(float));
                    Go_n = n;
                }

                /* Go = W_o^T @ W_o  (original) */
                for (int i = 0; i < n; i++) {
                    for (int j = i; j < n; j++) {
                        float dot = 0;
                        for (int k = 0; k < n; k++) {
                            float *wf_row = &bl->w_float[(size_t)k * in];
                            dot += wf_row[i] * wf_row[j];
                        }
                        Go[i * n + j] = dot;
                        Go[j * n + i] = dot;
                    }
                }

                /* Go -= I */
                for (int i = 0; i < n; i++)
                    Go[i * n + i] -= 1.0f;

                /* dW_o = 4 * lambda * W_o @ Go, apply directly */
                float scale_o = 4.0f * lambda_ortho_o;
                for (int k = 0; k < n; k++) {
                    float *wf_row = &bl->w_float[(size_t)k * in];
                    for (int i = 0; i < n; i++) {
                        float grad = 0;
                        for (int j = 0; j < n; j++)
                            grad += wf_row[j] * Go[j * n + i];
                        wf_row[i] -= scale_o * grad;
                    }
                }

                /* Log W_o orthogonal stats every 50 steps */
                if (g_opt_step % 50 == 49) {
                    float off_diag_o = 0, diag_dev_o = 0;
                    for (int i = 0; i < n; i++) {
                        diag_dev_o += Go[i * n + i] * Go[i * n + i];
                        for (int j = 0; j < n; j++) {
                            if (i != j) off_diag_o += Go[i * n + j] * Go[i * n + j];
                        }
                    }
                    printf("    [ortho] step %d L%d W_o off_diag=%.2f diag_dev=%.4f\n",
                           g_opt_step, l, off_diag_o, diag_dev_o);
                }
            }

            /* Weight clipping + repack: per-neuron based on logic_mask.
             * CORE (float): ±2.0 — needs room for precise differentiation.
             * BINARY (sign): ±1.0 — must stay near ±1 for sign function.
             * PRUNE: already skipped in update loop above. */
            if (!g_use_pure_float) {
                for (int j = 0; j < out; j++) {
                    float clip_val = 1.0f;  /* BINARY default */
                    if (bl->logic_mask && bl->logic_mask[j] == 0)
                        clip_val = 2.0f;  /* CORE: allow larger float weights */
                    /* PRUNE (mask==2) already skipped, but clip anyway for safety */
                    float *wf_row = &bl->w_float[j * in];
                    for (int i = 0; i < in; i++) {
                        if (wf_row[i] > clip_val) wf_row[i] = clip_val;
                        else if (wf_row[i] < -clip_val) wf_row[i] = -clip_val;
                    }
                }
                bin_layer_repack(bl);
            } else {
                #define W_CLIP_BF 2.0f
                for (int i = 0; i < in * out; i++) {
                    float w = bl->w_float[i];
                    if (w > W_CLIP_BF) bl->w_float[i] = W_CLIP_BF;
                    else if (w < -W_CLIP_BF) bl->w_float[i] = -W_CLIP_BF;
                }
                #undef W_CLIP_BF
            }
        }
    }

    /* === CRITICAL FIX: Update token embeddings (wte) with Adam ===
     * Without this, embeddings are frozen and the model cannot learn
     * concept boundaries. This is the #1 fix for LAL whitebox training. */
    if (m->grad_wte_accum && m->m_wte && m->v_wte && g_use_adam) {
        int vocab = m->cfg.vocab_size;
        int t = g_opt_step + 1;
        float bc1 = 1.0f - powf(g_adam_beta1, (float)t);
        float bc2 = 1.0f - powf(g_adam_beta2, (float)t);
        float inv_batch = 1.0f / (float)batch_size;

        /* [加速] OpenMP 并行: 每个 vocab token 独立更新 */
        #pragma omp parallel for schedule(static)
        for (int v = 0; v < vocab; v++) {
            float *w  = &m->wte[(size_t)v * n];
            float *gw = &m->grad_wte_accum[(size_t)v * n];
            float *ma = &m->m_wte[(size_t)v * n];
            float *va = &m->v_wte[(size_t)v * n];
            /* BUG #52 FIX (v2 - gentler): Track if this token had any gradient this step.
             * Tokens not in training data keep random init → high logit → sampled → garbage.
             * Apply MILD weight decay (×0.9999) only to unused tokens with large norm.
             * Previous v1 (×0.999) was too strong, shrunk all wte → CORE diff collapsed. */
            int has_grad = 0;
            for (int i = 0; i < n; i++) {
                float g = gw[i] * inv_batch;
                if (fabsf(g) >= 1e-12f) {
                    has_grad = 1;
                    ma[i] = g_adam_beta1 * ma[i] + (1.0f - g_adam_beta1) * g;
                    va[i] = g_adam_beta2 * va[i] + (1.0f - g_adam_beta2) * g * g;
                    float mh = ma[i] / bc1;
                    float vh = sqrtf(va[i] / bc2) + g_adam_eps;
                    /* v17c: v_wte floor - prevent Adam cold-start amplification.
                     * When a token first receives gradient (from logic_reg or C3),
                     * va[i] = (1-beta2)*g^2 is tiny -> vh ~ sqrt(0.001)*|g| ~ 0.032*|g|,
                     * update = lr*mh/vh ~ lr/0.032 ~ 31*lr (amplified 30x).
                     * This crashed boundary 78->14 at step 100 in v16/v17.
                     * Floor vh to 1e-4 caps amplification at ~10x, logic_reg/C3 stay safe.
                     * Fix verified: v17c step 100 logic_reg trigger, boundary stable at 77. */
                    if (vh < 1e-4f) vh = 1e-4f;
                    w[i] -= lr * g_wte_lr_scale * mh / vh;  /* v16: wte 对齐泵降速 */
                }
            }
            /* BUG #52 v2: Only decay unused tokens with large norm (threshold-based) */
            if (!has_grad) {
                /* Compute norm, only decay if above average to avoid shrinking all embeddings */
                float norm_sq = 0.0f;
                for (int i = 0; i < n; i++) norm_sq += w[i] * w[i];
                float norm = sqrtf(norm_sq);
                /* Only decay if norm > 0.5 (above typical init scale 1/sqrt(n)≈0.042) */
                if (norm > 0.5f) {
                    float decay = 0.9999f;  /* Much gentler than v1's 0.999 */
                    for (int i = 0; i < n; i++) {
                        w[i] *= decay;
                    }
                }
            }
        }
    }

    /* === Update position embeddings (wpe) with Adam + norm clipping ===
     * Without this, position embeddings are random noise → model has no
     * position awareness → attention collapses all positions → same output.
     *
     * BUG FIX (v17): wpe norm explosion — wpe[0] reached 11.37 (22.7x wte norm 0.50).
     * When wpe dominates wte, token identity is drowned out → model loses semantic
     * information → generation produces position-driven garbage, not content-driven.
     * Fix: (1) reduced LR (0.3x) slows wpe growth; (2) hard norm clip at 1.0 caps it.
     * wpe is added to wte: x = wte[tok] + wpe[pos], so wpe norm should be ≤ wte norm
     * to avoid drowning token signal. Cap at 1.0 (2x wte norm) gives learning room. */
    if (m->grad_wpe_accum && m->m_wpe && m->v_wpe && g_use_adam && m->wpe) {
        int n_ctx = m->cfg.n_ctx;
        int t = g_opt_step + 1;
        float bc1 = 1.0f - powf(g_adam_beta1, (float)t);
        float bc2 = 1.0f - powf(g_adam_beta2, (float)t);
        float inv_batch = 1.0f / (float)batch_size;
        float wpe_lr = lr * 0.3f;           /* v17: reduced LR to slow wpe growth */
        float wpe_max_norm = 1.0f;          /* v17: hard cap — 2x typical wte norm */

        for (int pos = 0; pos < n_ctx; pos++) {
            float *w  = &m->wpe[(size_t)pos * n];
            float *gw = &m->grad_wpe_accum[(size_t)pos * n];
            float *ma = &m->m_wpe[(size_t)pos * n];
            float *va = &m->v_wpe[(size_t)pos * n];
            for (int i = 0; i < n; i++) {
                float g = gw[i] * inv_batch;
                if (fabsf(g) < 1e-12f) continue;
                ma[i] = g_adam_beta1 * ma[i] + (1.0f - g_adam_beta1) * g;
                va[i] = g_adam_beta2 * va[i] + (1.0f - g_adam_beta2) * g * g;
                float mh = ma[i] / bc1;
                float vh = sqrtf(va[i] / bc2) + g_adam_eps;
                w[i] -= wpe_lr * mh / vh;  /* v17(远程): wpe 降速 lr*0.3 — 与 v16 对齐泵修复同源 */
            }
            /* v17: Norm clipping — prevent wpe from dominating wte */
            float norm_sq = 0.0f;
            for (int i = 0; i < n; i++) norm_sq += w[i] * w[i];
            float norm = sqrtf(norm_sq);
            if (norm > wpe_max_norm) {
                float scale = wpe_max_norm / norm;
                for (int i = 0; i < n; i++) w[i] *= scale;
            }
        }
    }

    /* === Update LayerNorm weights with proper Adam ===
     * Now using correct gradients from layer_norm_backward (grad_w/grad_b).
     * Previously these were stuck at init (w=1.0, b=0.0) because
     * layer_norm_backward didn't compute grad_w, causing all inputs
     * to produce identical final_ln. */
    for (int l = 0; l < m->cfg.n_layer; l++) {
        TransLayer *tl = &m->layers[l];
        if (tl->grad_norm1_w && tl->m_norm1_w && g_use_adam) {
            /* BUG #50 FIX: Use Adam for LayerNorm weights (was SGD+clip, caused norm_w→0) */
            int t = g_opt_step + 1;
            float bc1 = 1.0f - powf(g_adam_beta1, (float)t);
            float bc2 = 1.0f - powf(g_adam_beta2, (float)t);
            float lr_norm = lr;  /* v13c: full LR for LayerNorm weights — Adam handles scaling */
            for (int i = 0; i < n; i++) {
                /* norm1_w — v13c: enable Adam training with reduced LR + clipping
                 * Previous BUG #50: SGD with large gradients caused norm_w→0.
                 * Fix: Adam naturally normalizes gradient scale; 0.1x LR adds safety margin. */
                float g1w = tl->grad_norm1_w[i] * inv_batch;
                if (fabsf(g1w) > 1e-12f) {
                    tl->m_norm1_w[i] = g_adam_beta1 * tl->m_norm1_w[i] + (1.0f - g_adam_beta1) * g1w;
                    tl->v_norm1_w[i] = g_adam_beta2 * tl->v_norm1_w[i] + (1.0f - g_adam_beta2) * g1w * g1w;
                    float mh = tl->m_norm1_w[i] / bc1;
                    float vh = sqrtf(tl->v_norm1_w[i] / bc2) + g_adam_eps;
                    tl->norm1_w[i] -= lr_norm * mh / vh;
                    /* v13g: revert to [0.5, 2.0] clip — v13f [0.95, 1.05] killed
                     * core_diff (2.36→1.90). LN weight growth is BENEFICIAL:
                     * it amplifies important feature dimensions, aiding concept
                     * differentiation despite slightly higher cosine similarity. */
                    if (tl->norm1_w[i] < 0.5f) tl->norm1_w[i] = 0.5f;
                    if (tl->norm1_w[i] > 2.0f) tl->norm1_w[i] = 2.0f;
                }

                /* norm1_b */
                float g1b = tl->grad_norm1_b[i] * inv_batch;
                if (fabsf(g1b) > 1e-12f) {
                    tl->m_norm1_b[i] = g_adam_beta1 * tl->m_norm1_b[i] + (1.0f - g_adam_beta1) * g1b;
                    tl->v_norm1_b[i] = g_adam_beta2 * tl->v_norm1_b[i] + (1.0f - g_adam_beta2) * g1b * g1b;
                    float mh = tl->m_norm1_b[i] / bc1;
                    float vh = sqrtf(tl->v_norm1_b[i] / bc2) + g_adam_eps;
                    tl->norm1_b[i] -= lr_norm * mh / vh;
                }
                /* norm2_w — v13c: enable Adam training with reduced LR + clipping */
                float g2w = tl->grad_norm2_w[i] * inv_batch;
                if (fabsf(g2w) > 1e-12f) {
                    tl->m_norm2_w[i] = g_adam_beta1 * tl->m_norm2_w[i] + (1.0f - g_adam_beta1) * g2w;
                    tl->v_norm2_w[i] = g_adam_beta2 * tl->v_norm2_w[i] + (1.0f - g_adam_beta2) * g2w * g2w;
                    float mh = tl->m_norm2_w[i] / bc1;
                    float vh = sqrtf(tl->v_norm2_w[i] / bc2) + g_adam_eps;
                    tl->norm2_w[i] -= lr_norm * mh / vh;
                    /* v13g: revert to [0.5, 2.0] clip */
                    if (tl->norm2_w[i] < 0.5f) tl->norm2_w[i] = 0.5f;
                    if (tl->norm2_w[i] > 2.0f) tl->norm2_w[i] = 2.0f;
                }

                /* norm2_b */
                float g2b = tl->grad_norm2_b[i] * inv_batch;
                if (fabsf(g2b) > 1e-12f) {
                    tl->m_norm2_b[i] = g_adam_beta1 * tl->m_norm2_b[i] + (1.0f - g_adam_beta1) * g2b;
                    tl->v_norm2_b[i] = g_adam_beta2 * tl->v_norm2_b[i] + (1.0f - g_adam_beta2) * g2b * g2b;
                    float mh = tl->m_norm2_b[i] / bc1;
                    float vh = sqrtf(tl->v_norm2_b[i] / bc2) + g_adam_eps;
                    tl->norm2_b[i] -= lr_norm * mh / vh;
                }
            }
        }
    }
    /* ln_f weights with Adam */
    if (m->grad_ln_f_w_accum && m->m_ln_f_w && g_use_adam) {
        int t = g_opt_step + 1;
        float bc1 = 1.0f - powf(g_adam_beta1, (float)t);
        float bc2 = 1.0f - powf(g_adam_beta2, (float)t);
        for (int i = 0; i < n; i++) {
            float gw = m->grad_ln_f_w_accum[i] * inv_batch;
            float gb = m->grad_ln_f_b_accum[i] * inv_batch;
            if (fabsf(gw) < 1e-12f && fabsf(gb) < 1e-12f) continue;
            m->m_ln_f_w[i] = g_adam_beta1 * m->m_ln_f_w[i] + (1.0f - g_adam_beta1) * gw;
            m->v_ln_f_w[i] = g_adam_beta2 * m->v_ln_f_w[i] + (1.0f - g_adam_beta2) * gw * gw;
            m->m_ln_f_b[i] = g_adam_beta1 * m->m_ln_f_b[i] + (1.0f - g_adam_beta1) * gb;
            m->v_ln_f_b[i] = g_adam_beta2 * m->v_ln_f_b[i] + (1.0f - g_adam_beta2) * gb * gb;
            float mhw = m->m_ln_f_w[i] / bc1, vhw = sqrtf(m->v_ln_f_w[i] / bc2) + g_adam_eps;
            float mhb = m->m_ln_f_b[i] / bc1, vhb = sqrtf(m->v_ln_f_b[i] / bc2) + g_adam_eps;
            m->ln_f_w[i] -= lr * mhw / vhw;
            m->ln_f_b[i] -= lr * mhb / vhb;
            /* v13g: revert to [0.5, 2.0] clip */
            if (m->ln_f_w[i] < 0.5f) m->ln_f_w[i] = 0.5f;
            if (m->ln_f_w[i] > 2.0f) m->ln_f_w[i] = 2.0f;
        }
    }

    /* === Sync w_core and wbits from updated w_float ===
     * [加速] 这个 repack 已经在 weight clipping 后做过了 (line 4394),
     * 除非 logic_mask 被 100 步重分配改了, 否则不需要再 repack.
     * 删除冗余 repack 节省 ~1s/step (40-70 次 repack × O(out×in)). */
    /* Sync w_core and wbits from updated w_float
     * (恢复: 删除后 Windows 产生 NaN, 可能是 clipping 后状态不一致) */
    for (int l = 0; l < m->cfg.n_layer; l++) {
        TransLayer *tl = &m->layers[l];
        BinLayer *bls[8] = {&tl->attn_q, &tl->attn_o,
                            &tl->mlp_gate, &tl->mlp_down};
        int n_bl = 4;
        if (!m->cfg.qkv_merged) { bls[4] = &tl->attn_k; bls[5] = &tl->attn_v; n_bl = 6; }
        if (m->cfg.act_type == ACT_SWIGLU) { bls[n_bl] = &tl->mlp_up; n_bl++; }
        for (int b = 0; b < n_bl; b++) {
            if (bls[b]->w_float && bls[b]->logic_mask)
                bin_layer_repack(bls[b]);
        }
    }

    /* Increment Adam step once per batch */
    if (g_use_adam) {
        /* Ponder 停机单元 Adam 更新 (在 g_opt_step 自增前, bias-correction 用同一步数) */
        ponder_apply(m, lr, batch_size, g_opt_step + 1);
        g_opt_step++;
    }

    /* [已禁用] CORE/BINARY/PRUNE 动态重分配.
     * 原来每 100 步按 w_float 范数重算 mask, 但训练早期 (step 100) 权重还没分化,
     * 重分配会把已学到的概念结构打乱 (boundary 74→16, opp_sim 0.26→0.84).
     * 现在 mask 只在 model_load 时算一次, 训练中固定不变.
     * 如需调整比例, 修改 g_logic_core_ratio / g_logic_prune_ratio 的初始值. */
}

void model_stateful_begin(Model *m) {
    /* Ensure KV cache is allocated */
    if (!m->k_cache) model_kv_cache_alloc(m);

    /* Reset KV cache to zero */
    int n_layer = m->cfg.n_layer;
    size_t per_layer = (size_t)m->cfg.n_ctx * m->cfg.n_embd * sizeof(float);
    for (int l = 0; l < n_layer; l++) {
        memset(m->k_cache[l], 0, per_layer);
        memset(m->v_cache[l], 0, per_layer);
    }

    /* Allocate stateful context buffers */
    if (!g_sctx.x) g_sctx.x = malloc(m->cfg.n_embd * sizeof(float));
    if (!g_sctx.logits) g_sctx.logits = malloc(m->cfg.vocab_size * sizeof(float));

    g_sctx.kv_pos = 0;
    g_sctx.total_pos = 0;
    g_sctx.active = 1;
    model_messenger_caches_reset();  /* v16 */

    /* C3 概念图驱动长上下文记忆: 仅当概念图已加载(g_runtime_cg!=NULL)时分配缓冲.
     * 与 --concept-graph 一体 —— 不加载图则退化普通滑动窗口. */
    {
        int nL = m->cfg.n_layer, nE = m->cfg.n_embd;
        size_t bytes = (size_t)nL * LCTX_SLOTS * nE * sizeof(float);
        if (g_runtime_cg) {
            if (!g_sctx.cctx_k) g_sctx.cctx_k = (float *)malloc(bytes);
            if (!g_sctx.cctx_v) g_sctx.cctx_v = (float *)malloc(bytes);
            if (!g_sctx.cctx_cnt) g_sctx.cctx_cnt = (int *)calloc((size_t)nL * LCTX_SLOTS, sizeof(int));
            if (!g_sctx.cctx_anchor) g_sctx.cctx_anchor = (int *)calloc((size_t)nL * LCTX_SLOTS, sizeof(int));
            memset(g_sctx.cctx_k, 0, bytes);
            memset(g_sctx.cctx_v, 0, bytes);
            memset(g_sctx.cctx_cnt, 0, (size_t)nL * LCTX_SLOTS * sizeof(int));
            memset(g_sctx.cctx_anchor, 0, (size_t)nL * LCTX_SLOTS * sizeof(int));
            g_sctx.cctx_n_layer = nL;
            g_sctx.cctx_n_embd = nE;
        } else {
            g_sctx.cctx_k = g_sctx.cctx_v = NULL;
            g_sctx.cctx_cnt = g_sctx.cctx_anchor = NULL;
            g_sctx.cctx_n_layer = g_sctx.cctx_n_embd = 0;
        }
    }

    /* Use the GLOBAL attention window/sink (g_attn_window / g_attn_sink) so
     * inference matches training exactly. The ModelConfig.sliding_window field
     * defaults to 9996 and is NOT synced from --attn-window, so relying on it
     * here caused a train/infer window mismatch -> garbled generation.
     * Single source of truth: the global flags (set by --attn-window/--attn-sink
     * and default 1024/64). */
    int window = g_attn_window > 0 ? g_attn_window : m->cfg.n_ctx;
    int sinks = g_attn_sink;
    printf("[*] stateful inference started: window=%d, sinks=%d, ctx=%d "
           "(from global g_attn_window/g_attn_sink)\n",
           window, sinks, m->cfg.n_ctx);
}

/* ─── Stateful Inference: Reset KV Cache ────────────────────────── */
void model_stateful_reset(Model *m) {
    if (!m->k_cache) return;
    int n_layer = m->cfg.n_layer;
    size_t per_layer = (size_t)m->cfg.n_ctx * m->cfg.n_embd * sizeof(float);
    for (int l = 0; l < n_layer; l++) {
        memset(m->k_cache[l], 0, per_layer);
        memset(m->v_cache[l], 0, per_layer);
    }
    g_sctx.kv_pos = 0;
    g_sctx.total_pos = 0;
    model_messenger_caches_reset();  /* v16: 新一轮生成 — 清空信使缓存 */
    /* C3 概念图驱动长上下文记忆: 新一轮生成时清零聚合 */
    if (g_sctx.cctx_k && g_sctx.cctx_v && g_sctx.cctx_cnt) {
        int nL = g_sctx.cctx_n_layer, nE = g_sctx.cctx_n_embd;
        size_t bytes = (size_t)nL * LCTX_SLOTS * nE * sizeof(float);
        memset(g_sctx.cctx_k, 0, bytes);
        memset(g_sctx.cctx_v, 0, bytes);
        memset(g_sctx.cctx_cnt, 0, (size_t)nL * LCTX_SLOTS * sizeof(int));
        memset(g_sctx.cctx_anchor, 0, (size_t)nL * LCTX_SLOTS * sizeof(int));
    }
}

/* ─── Stateful Forward with Sliding Window ──────────────────────── */
const float *model_stateful_forward_sliding(Model *m, int token) {
    if (!g_sctx.active || !m->k_cache) {
        fprintf(stderr, "[!] stateful mode not active — call model_stateful_begin() first\n");
        return NULL;
    }
    int n = m->cfg.n_embd, nL = m->cfg.n_layer, ctx = m->cfg.n_ctx;
    /* Must match training: use GLOBAL g_attn_window / g_attn_sink, not
     * ModelConfig.sliding_window (which defaults to 9996 and is not synced
     * from --attn-window). See model_stateful_begin() for the same fix. */
    int window = g_attn_window > 0 ? g_attn_window : ctx;
    int n_sinks = g_attn_sink;

    /* Circular buffer: no need to shift. Just wrap around. */
    int pos = g_sctx.kv_pos;       /* logical position in cache */
    int abs_pos = g_sctx.total_pos; /* absolute position in sequence */
    int pe_pos = (m->cfg.attn_type == ATTN_LEARNED) ? (abs_pos % ctx) : abs_pos;

    float *x = g_sctx.x;
    /* Embedding lookup + position encoding */
    for (int i = 0; i < n; i++) {
        x[i] = m->wte[(size_t)token * n + i];
        if (m->wpe) x[i] += m->wpe[(size_t)pe_pos * n + i];
    }

    /* C3 概念图驱动长上下文记忆: 把被滑动窗口挤出的中间段 token 按"概念归属"
     * 聚合进概念状态槽. 概念归属由来概念图给出: anchor = neighbor[eject*K+0]
     * (该 token 在 wte 几何里最近的概念 token), slot = anchor % LCTX_SLOTS.
     * 同一份概念图既引导生成(graph_concept_bias)又驱动长上下文记忆 — 一体. */
    int eject = abs_pos - window;
    if (g_cctx_cfg.enable && g_runtime_cg && g_sctx.cctx_k && eject >= (int)n_sinks) {
        int K = g_runtime_cg->K;
        int anchor = g_runtime_cg->neighbor[(size_t)eject * K];  /* 最近概念 token */
        if (anchor >= 0) {
            int slot = anchor % LCTX_SLOTS;
            int eject_phys = eject % ctx;
            for (int l = 0; l < nL; l++) {
                const float *k_e = m->k_cache[l] + (size_t)eject_phys * n;
                const float *v_e = m->v_cache[l] + (size_t)eject_phys * n;
                float *ck = g_sctx.cctx_k + ((size_t)l * LCTX_SLOTS + slot) * n;
                float *cv = g_sctx.cctx_v + ((size_t)l * LCTX_SLOTS + slot) * n;
                int cnt = g_sctx.cctx_cnt[(size_t)l * LCTX_SLOTS + slot];
                float inv = (cnt > 0) ? (1.0f / (cnt + 1)) : 1.0f;
                for (int i = 0; i < n; i++) {
                    ck[i] = ck[i] * (cnt * inv) + k_e[i] * inv;
                    cv[i] = cv[i] * (cnt * inv) + v_e[i] * inv;
                }
                g_sctx.cctx_cnt[(size_t)l * LCTX_SLOTS + slot] = cnt + 1;
                g_sctx.cctx_anchor[(size_t)l * LCTX_SLOTS + slot] = anchor;
            }
        }
    }

    /* Forward through layers with sliding window attention */
    if (g_ponder_cfg.enable && m->ponder_ready) {
        /* PonderNet 循环思考推理: 混合读出 + 早退 + 思考深度统计 */
        ponder_infer_forward(m, pos, abs_pos, window, n_sinks);
    } else {
        for (int l = 0; l < nL; l++)
            trans_layer_forward_sliding(x, &m->layers[l], &m->acts[l], &m->cfg,
                                         pos, abs_pos, window, n_sinks, pos + 1);
    }

    /* Final norm + logits (tied embeddings) */
    memcpy(m->x_before_final, x, n * sizeof(float));
    norm_forward(m->final_ln, x, m->ln_f_w, m->ln_f_b, m->cfg.norm_type, n);
    compute_mean_std(m->x_before_final, n, &m->final_mean, &m->final_std_inv);

    int V = m->cfg.vocab_size;
    /* Logits: raw dot product (tied embeddings).
     * Cosine normalization removed — it compressed logit range too much,
     * making sampling unable to distinguish good tokens from noise.
     * Repetition penalty in generation handles mode collapse instead.
     *
     * BUG #42 FIX: was a scalar loop (1 mul-add per iteration).
     * Same computation as compute_full_logits and model_forward_float_logits,
     * which both use 8-way unrolled loops for SIMD vectorization.
     * The scalar version was 4-8x slower on vocab=32768. Now matches. */
    for (int j = 0; j < V; j++) {
        const float *w = &m->wte[(size_t)j * n];
        float s = 0;
        for (int k = 0; k + 7 < n; k += 8)
            s += m->final_ln[k+0]*w[k+0] + m->final_ln[k+1]*w[k+1]
               + m->final_ln[k+2]*w[k+2] + m->final_ln[k+3]*w[k+3]
               + m->final_ln[k+4]*w[k+4] + m->final_ln[k+5]*w[k+5]
               + m->final_ln[k+6]*w[k+6] + m->final_ln[k+7]*w[k+7];
        for (int k = (n/8)*8; k < n; k++)
            s += m->final_ln[k] * w[k];
        g_sctx.logits[j] = s * g_logit_scale;  /* v16 */
    }

    /* Advance circular buffer pointer */
    g_sctx.kv_pos = (g_sctx.kv_pos + 1) % ctx;
    g_sctx.total_pos++;
    return g_sctx.logits;
}

/* ─── Configure Sliding Window at Runtime ───────────────────────── */
void model_set_sliding_window(Model *m, int window, int n_sinks) {
    m->cfg.sliding_window = window;
    m->cfg.n_sinks = n_sinks;
    printf("[*] sliding window configured: W=%d, sinks=%d (effective context: %d)\n",
           window, n_sinks, window + n_sinks);
}

/* ========================================================================
 * ========================================================================
 * Concept-Aware Attention (基于「理解(概念-边界) + 推理(关系演化)」框架)
 * ========================================================================
 * ========================================================================
 * 四层设计实现:
 *   Layer 1: 基于概念边界的语义片段切分 + segment-messenger
 *   Layer 2: 关系强度门控(概念边界预筛选)
 *   Layer 3: 异构多头算力分配(不同头不同访问域)
 *   Layer 4: 推理侧 KV-Cache 概念复用(含信使 cache)
 *
 * 设计原点:
 *   - 注意力的计算开销来自"两两概念对的关系匹配"
 *   - 优化原则:保留真实需要建立关系的概念对的完整 Q-K 匹配
 *   - 对于边界隔离、本就弱关系的概念对,要么过滤,要么走信使间接通信
 *
 * 本优化只改造理解阶段(Attention)的信息交互通路,不改动 FFN 推理演化逻辑。
 * ======================================================================== */

/* 全局概念感知注意力配置(默认关闭,需显式开启) */
ConceptAttnConfig g_concept_attn_cfg = {0};
/* C3 概念图驱动的长上下文记忆配置(仅当概念图已加载时启用) */
ConceptCtxConfig g_cctx_cfg = {0, 1.0f};
ConceptGraph *g_runtime_cg = NULL;
void model_set_concept_ctx(const ConceptCtxConfig *cfg, ConceptGraph *cg) {
    g_runtime_cg = cg;
    g_cctx_cfg.enable = (cg != NULL);
    if (cfg) g_cctx_cfg.mem_scale = cfg->mem_scale;
    printf("[*] C3 概念图驱动长上下文记忆: %s (mem_scale=%.2f)\n",
           g_cctx_cfg.enable ? "ENABLED" : "disabled", g_cctx_cfg.mem_scale);
}
/* v16: 注意力残差配额 (v13j 防塌缩设计, 默认 0.15). LAL_ATTN_RES_SCALE 可调 —
 * 配额太低时注意力架构变化在输出端"隐形" */
float g_attn_res_scale = 0.15f;

/* ConceptAttnStats 结构 + g_ca_stats + concept_attn_stats_reset 已上移到
 * attention_forward_concept_ctx 之前 (line 2868+), 因为 ctx 函数需要统计.
 * 此处保留此注释作为指针. */

/* === Bug Fix 2: 门控分数运行统计 (自适应分位数阈值) ===
 * 维护一个滑动窗口记录最近的门控分数,计算 P25 分位数作为阈值
 * g_gate_ring: 循环缓冲区, g_gate_head: 写入位置, g_gate_n_samples: 已有样本数 */
#define GATE_RING_SIZE 512
static float g_gate_ring[GATE_RING_SIZE];
static int   g_gate_head = 0;
static int   g_gate_n_samples = 0;
float g_gate_p25 = 0.1f;  /* P25 分位数 (初始回退到默认阈值) */

/* 记录门控分数到滑动窗口,并更新 P25 分位数 */
static void gate_score_record(float score) {
    g_gate_ring[g_gate_head] = score;
    g_gate_head = (g_gate_head + 1) % GATE_RING_SIZE;
    if (g_gate_n_samples < GATE_RING_SIZE) g_gate_n_samples++;

    /* 每 64 个样本重新计算一次 P25 (避免频繁排序) */
    if ((g_gate_n_samples & 63) == 0 && g_gate_n_samples >= 64) {
        /* 复制到临时数组排序 */
        float tmp[GATE_RING_SIZE];
        int n = g_gate_n_samples;
        memcpy(tmp, g_gate_ring, n * sizeof(float));
        /* 简单插入排序 (n <= 512, 复杂度可接受) */
        for (int i = 1; i < n; i++) {
            float key = tmp[i];
            int j = i - 1;
            while (j >= 0 && tmp[j] > key) { tmp[j+1] = tmp[j]; j--; }
            tmp[j+1] = key;
        }
        /* P25 = 第 25 百分位 */
        int idx = (int)(0.25f * (n - 1));
        g_gate_p25 = tmp[idx];
    }
}

/* 全局信使缓存(每层一个,按 layer_idx 索引) */
MessengerCache *g_messenger_caches = NULL;
static int g_messenger_caches_n_layer = 0;

/* ─── Layer 1: Messenger Cache Management ─────────────────────── */

void messenger_cache_alloc(MessengerCache *mc, int segment_capacity,
                           int num_messengers, int n_embd) {
    if (!mc || segment_capacity <= 0 || num_messengers <= 0 || n_embd <= 0) {
        if (mc) memset(mc, 0, sizeof(*mc));
        return;
    }
    mc->segment_capacity = segment_capacity;
    mc->num_messengers   = num_messengers;
    mc->n_embd           = n_embd;
    mc->n_filled         = 0;
    size_t total = (size_t)segment_capacity * num_messengers * n_embd;
    mc->messenger_k = (float *)calloc(total, sizeof(float));
    mc->messenger_v = (float *)calloc(total, sizeof(float));
    mc->segment_filled = (uint8_t *)calloc(segment_capacity, sizeof(uint8_t));
    if (!mc->messenger_k || !mc->messenger_v || !mc->segment_filled) {
        fprintf(stderr, "[!] messenger_cache_alloc: OOM (cap=%d, S=%d, d=%d)\n",
                segment_capacity, num_messengers, n_embd);
        messenger_cache_free(mc);
    }
}

void messenger_cache_free(MessengerCache *mc) {
    if (!mc) return;
    free(mc->messenger_k);
    free(mc->messenger_v);
    free(mc->segment_filled);
    memset(mc, 0, sizeof(*mc));
}

void messenger_cache_reset(MessengerCache *mc) {
    if (!mc || mc->segment_capacity <= 0) return;
    size_t total = (size_t)mc->segment_capacity * mc->num_messengers * mc->n_embd;
    if (mc->messenger_k) memset(mc->messenger_k, 0, total * sizeof(float));
    if (mc->messenger_v) memset(mc->messenger_v, 0, total * sizeof(float));
    if (mc->segment_filled) memset(mc->segment_filled, 0, mc->segment_capacity);
    mc->n_filled = 0;
}

/* ─── Layer 1: Segment Messenger Generation ──────────────────────
 * 在每个 segment 内部,基于本片段全部 V,聚合生成少量信使向量。
 * 信使是本片段全部概念与关系状态的压缩载体。
 *
 * 聚合策略:均匀分桶 + 均值池化
 *   - 将片段内 V[0..seg_len-1] 均匀分成 num_messengers 个桶
 *   - 每个桶内做均值池化,得到一个信使向量
 *   - 信使的 K = 信使的 V(自关联,简化)
 *
 * 语义意义:远方片段的整体语义,由信使代为表达。
 *          普通token通过信使间接获得远方概念集合的状态。
 */
void generate_segment_messengers(const float *v_seg, int seg_len, int n_embd,
                                 int num_messengers,
                                 float *out_k, float *out_v) {
    if (!v_seg || !out_k || !out_v || seg_len <= 0 || n_embd <= 0 || num_messengers <= 0)
        return;

    /* === Bug Fix 1: 信使去中心化 ===
     * 原始实现: 信使 = 桶内 V 的均值 → 携带公共模式,4个信使几乎相同
     * 修复: 先计算片段内全局 V 均值,信使 = 桶均值 - 全局均值
     *       只保留偏差信息(本桶的"特色"而非"共识")
     * 同时对信使做范数钳制,防止越训越大 */
    float *global_mean = (float *)calloc(n_embd, sizeof(float));
    if (!global_mean) {
        /* 降级: 回退到原始均值池化 */
        for (int m = 0; m < num_messengers; m++) {
            int bucket_start = (int)((long long)m * seg_len / num_messengers);
            int bucket_end   = (int)((long long)(m + 1) * seg_len / num_messengers);
            if (bucket_end <= bucket_start) bucket_end = bucket_start + 1;
            if (bucket_end > seg_len) bucket_end = seg_len;
            int bucket_size = bucket_end - bucket_start;
            if (bucket_size <= 0) bucket_size = 1;
            float *k_dst = out_k + (size_t)m * n_embd;
            float *v_dst = out_v + (size_t)m * n_embd;
            float inv = 1.0f / (float)bucket_size;
            for (int d = 0; d < n_embd; d++) {
                float sum = 0.0f;
                for (int t = bucket_start; t < bucket_end; t++)
                    sum += v_seg[(size_t)t * n_embd + d];
                float val = sum * inv;
                v_dst[d] = val;
                k_dst[d] = val;
            }
        }
        return;
    }

    /* 计算片段内全局 V 均值 */
    float inv_seg = 1.0f / (float)seg_len;
    for (int d = 0; d < n_embd; d++) {
        float sum = 0.0f;
        for (int t = 0; t < seg_len; t++)
            sum += v_seg[(size_t)t * n_embd + d];
        global_mean[d] = sum * inv_seg;
    }

    /* 范数钳制上限: 嵌入维度的 sqrt(n_embd) 量级 */
    float max_norm = sqrtf((float)n_embd) * 0.5f;  /* 保守上限 */

    /* 去中心化分桶 + 范数钳制 */
    for (int m = 0; m < num_messengers; m++) {
        int bucket_start = (int)((long long)m * seg_len / num_messengers);
        int bucket_end   = (int)((long long)(m + 1) * seg_len / num_messengers);
        if (bucket_end <= bucket_start) bucket_end = bucket_start + 1;
        if (bucket_end > seg_len) bucket_end = seg_len;
        int bucket_size = bucket_end - bucket_start;
        if (bucket_size <= 0) bucket_size = 1;

        float *k_dst = out_k + (size_t)m * n_embd;
        float *v_dst = out_v + (size_t)m * n_embd;
        float inv = 1.0f / (float)bucket_size;
        for (int d = 0; d < n_embd; d++) {
            float sum = 0.0f;
            for (int t = bucket_start; t < bucket_end; t++)
                sum += v_seg[(size_t)t * n_embd + d];
            float val = sum * inv - global_mean[d];  /* 去中心化 */
            v_dst[d] = val;
            k_dst[d] = val;  /* 信使 K = V(自关联简化) */
        }

        /* 范数钳制: 防止信使范数失控膨胀 */
        float norm_sq = 0.0f;
        for (int d = 0; d < n_embd; d++)
            norm_sq += v_dst[d] * v_dst[d];
        float norm = sqrtf(norm_sq + 1e-8f);
        if (norm > max_norm) {
            float scale_factor = max_norm / norm;
            for (int d = 0; d < n_embd; d++) {
                v_dst[d] *= scale_factor;
                k_dst[d] *= scale_factor;
            }
        }
    }

    free(global_mean);
}

/* ─── Layer 2: Concept Boundary Gate (关系强度门控) ───────────────
 * 给定 token-i(Q侧)、token-j(K侧),利用距离先验 + 粗粒度相似度
 * 快速预判:如果预判两个概念边界隔离,潜在关系极弱,
 * 直接把该位置置 -inf,不参与完整内积计算。
 *
 * 软门控(保留回退通路,避免硬切断长距离指代):
 *   sim_coarse = <Q_i, K_j> / (||Q_i|| * ||K_j|| + eps)
 *   dist_prior = exp(-distance / tau)   // tau = segment_len
 *   gate_score = sim_coarse + gate_distance_prior * dist_prior * 0.5
 *   if gate_score < gate_threshold:
 *       以 (1 - gate_fallback_prob) 概率屏蔽
 *       以 gate_fallback_prob 概率保留(回退通路)
 *
 * 返回:1 = 保留(参与完整 QK 计算),0 = 屏蔽(置 -inf)
 */
int concept_boundary_gate(const float *q_i, const float *k_j,
                          int head_dim, int distance,
                          const ConceptAttnConfig *cfg) {
    if (!cfg->gate_enable) return 1;  /* 门控禁用,全部保留 */

    /* 计算粗粒度余弦相似度(用前 1/4 维度做快速预判,省算力) */
    int coarse_dim = head_dim > 16 ? head_dim / 4 : head_dim;
    float q_norm = 0.0f, k_norm = 0.0f, dot = 0.0f;
    for (int d = 0; d < coarse_dim; d++) {
        dot    += q_i[d] * k_j[d];
        q_norm += q_i[d] * q_i[d];
        k_norm += k_j[d] * k_j[d];
    }
    q_norm = sqrtf(q_norm + 1e-8f);
    k_norm = sqrtf(k_norm + 1e-8f);
    float sim_coarse = dot / (q_norm * k_norm + 1e-8f);

    /* 距离先验:距离越远,门控越严(但不是硬截断) */
    float dist_prior = 1.0f;
    if (cfg->gate_distance_prior && distance > 0) {
        float tau = (float)(cfg->segment_len > 0 ? cfg->segment_len : 64);
        dist_prior = expf(-(float)distance / tau);
    }

    /* 综合门控分数 */
    float gate_score = sim_coarse;
    if (cfg->gate_distance_prior) {
        gate_score += 0.5f * dist_prior;  /* 距离近的 token 有先验加分 */
    }

    /* === Bug Fix 2: 自适应分位数阈值 ===
     * 原始实现: 固定阈值 0.1,但训练中分数分布整体漂移(52% > 0.5)
     *          导致门控要么全开要么全关,无法稳定兑现"概念边界隔离"
     * 修复: 使用运行统计的分位数作为阈值
     *       g_gate_score_p25 = 观察到的分数分布的 25th percentile
     *       屏蔽最低 25% 的分数对,而非用一个死阈值
     *
     * 原理: 不管训练如何移动分数的绝对值,分位数始终代表
     *       "当前分布中关系最弱的 25%"——这才是"边界隔离"的语义 */
    float effective_threshold = cfg->gate_threshold;  /* 默认回退 */

    /* 使用运行统计的分位数(如果可用) */
    if (g_gate_n_samples > 50) {
        /* 有足够样本时,用 P25 分位数作为阈值 */
        effective_threshold = g_gate_p25;
    }

    /* 软门控判定 */
    if (gate_score < effective_threshold) {
        /* 概率回退通路:用 hash(distance, sim) 做确定性伪随机,
         * 避免引入 rand() 影响可复现性 */
        unsigned int hash = (unsigned int)(distance * 2654435761u);
        hash ^= (unsigned int)((sim_coarse + 1000.0f) * 10000.0f);
        hash = (hash * 40503u) ^ (hash >> 7);
        float r = (float)(hash & 0xFFFF) / 65535.0f;
        if (r < cfg->gate_fallback_prob) {
            return 1;  /* 回退通路:保留,避免切断长距离指代 */
        }
        return 0;  /* 屏蔽:概念边界隔离,不参与完整 QK 计算 */
    }
    return 1;  /* 保留:可能存在有效关系 */
}

/* ─── Layer 3: Heterogeneous Head Access Configuration ───────────
 * 不同类型关系本身就有不同的"概念交互范围",不需要统一全序列扫描。
 *   - 头A:局部语法关系(主谓宾、修饰):强局部性,适合小窗口。
 *   - 头B:指代、实体绑定:偶尔需要长距离跳跃。
 *   - 头C:因果、时序关系:中等范围依赖。
 */
HeadAccessType get_head_access_type(int head_idx, int n_head,
                                    const ConceptAttnConfig *cfg) {
    if (!cfg->hetero_enable) return HEAD_GLOBAL;  /* 异构禁用,全部全局 */

    int n_local = cfg->n_local_heads;
    int n_messenger = cfg->n_messenger_heads;
    /* 自动分配:local = n_head/2, messenger = n_head/4, global = 剩余 */
    if (n_local < 0)     n_local = n_head / 2;
    if (n_messenger < 0) n_messenger = (n_head - n_local) / 2;
    if (n_local + n_messenger > n_head) n_local = n_head / 2;

    if (head_idx < n_local)                   return HEAD_LOCAL;
    if (head_idx < n_local + n_messenger)     return HEAD_MESSENGER;
    return HEAD_GLOBAL;
}

int get_head_window(int head_idx, int n_head, int base_window,
                    const ConceptAttnConfig *cfg) {
    if (!cfg->hetero_enable) return base_window;
    HeadAccessType t = get_head_access_type(head_idx, n_head, cfg);
    switch (t) {
        case HEAD_LOCAL:     return base_window;       /* Bug Fix 3: 不再减半, 保持对称 */
        case HEAD_MESSENGER: return base_window;       /* 指代/因果头:标准窗口 */
        case HEAD_GLOBAL:    return base_window * 2;   /* 全局头:更大窗口 */
        default:             return base_window;
    }
}

int head_can_access_messenger(int head_idx, int n_head,
                              const ConceptAttnConfig *cfg) {
    if (!cfg->hetero_enable) return 1;  /* 异构禁用,所有头都可访问信使 */
    HeadAccessType t = get_head_access_type(head_idx, n_head, cfg);
    return (t == HEAD_MESSENGER || t == HEAD_GLOBAL);
}

/* ─── Layer 4: Concept-Aware Attention Forward (主入口) ───────────
 * 概念感知注意力前向传播。整合四层优化:
 *   1. 切成语义片段(segment_len)
 *   2. 片段内部:完整 QKV,充分做片段内概念理解
 *   3. 生成本片段信使:聚合本片段全部概念-关系状态
 *   4. 本片段普通 token:只和【局部窗口 + 本片段信使 + 邻近片段信使】做匹配
 *   5. 关系门控:过滤边界隔离的概念对(Layer 2)
 *   6. 异构多头:不同头不同访问域(Layer 3)
 *   7. KV-Cache:历史 K/V 直接复用,信使也进 cache(Layer 4)
 *
 * 数学复杂度(设片段长度 L,每个片段信使数目 S,S << L):
 *   - 片段内部:O(n L d)
 *   - 信使交互:O((n/L * S)^2 d),该项很小
 *   - 普通token与信使:O(n * S * d),远小于 O(n^2 d)
 */
void attention_forward_concept(float *attn_out, const float *qkv,
                               int n_embd, int n_head, int seq_pos,
                               float *k_cache, float *v_cache,
                               int n_ctx,
                               const ConceptAttnConfig *cfg,
                               MessengerCache *mc) {
    /* 主开关关闭 → 回退到 sliding window attention (端到端统一) */
    if (!cfg || !cfg->enable) {
        attention_forward_sliding(attn_out, qkv, n_embd, n_head, seq_pos,
                                   k_cache, v_cache, n_ctx,
                                   g_attn_window > 0 ? g_attn_window : n_ctx,
                                   g_attn_sink);
        return;
    }
    (void)n_ctx;  /* 概念注意力内部用 seq_pos 直接索引 cache,n_ctx 仅用于片段切分参考 */

    int head_dim = n_embd / n_head;
    float scale = 1.0f / sqrtf((float)head_dim);
    g_ca_stats.forwards++;
    g_ca_stats.full_equiv += (long)(seq_pos + 1) * n_head;

    const float *Q = qkv;
    const float *K_new = qkv + n_embd;
    const float *V_new = qkv + 2 * n_embd;

    /* Layer 4: 写入 KV-Cache(与标准 attention_forward 一致) */
    int eff_ctx = (n_ctx > 0) ? n_ctx : (seq_pos + 1);
    int cache_pos = seq_pos % eff_ctx;
    memcpy(k_cache + (size_t)cache_pos * n_embd, K_new, n_embd * sizeof(float));
    memcpy(v_cache + (size_t)cache_pos * n_embd, V_new, n_embd * sizeof(float));

    /* Layer 1: 片段切分 + 信使生成
     * 当前 token 属于片段 seg_idx = seq_pos / segment_len
     * 当一个片段的最后一个 token 处理完时,生成本片段的信使 */
    int seg_len = cfg->segment_len > 0 ? cfg->segment_len : n_ctx;
    int seg_idx = seq_pos / seg_len;
    int seg_start = seg_idx * seg_len;
    int seg_end = seg_start + seg_len;
    if (seg_end > seq_pos + 1) seg_end = seq_pos + 1;  /* 当前片段尚未填满 */
    if (seg_end > n_ctx) seg_end = n_ctx;
    int actual_seg_len = seg_end - seg_start;

    /* Layer 1: 当片段填满时(actual_seg_len >= seg_len)或这是该片段最后一个 token
     * 时,生成/更新该片段的信使。
     * 修复:短样本(对话数据平均 11 token)尾部若累积 ≥ min_seg_len 也强制封口,
     * 否则信使机制永远空转、概念注意力在训练时收不到梯度。*/
    int min_seg = cfg->min_seg_len > 0 ? cfg->min_seg_len : 1;
    int tail_complete = (seq_pos == n_ctx - 1) && (actual_seg_len >= min_seg);
    int is_seg_complete = (actual_seg_len >= seg_len) ||
                          tail_complete ||
                          ((seq_pos + 1) % seg_len == 0 && seq_pos > 0);

    if (mc && cfg->num_messengers > 0 && is_seg_complete && actual_seg_len > 0) {
        if (seg_idx < mc->segment_capacity && !mc->segment_filled[seg_idx]) {
            /* 从 v_cache 取本片段的 V,生成信使 */
            float *v_seg = v_cache + (size_t)seg_start * n_embd;
            float *mk = mc->messenger_k + (size_t)seg_idx * cfg->num_messengers * n_embd;
            float *mv = mc->messenger_v + (size_t)seg_idx * cfg->num_messengers * n_embd;
            generate_segment_messengers(v_seg, actual_seg_len, n_embd,
                                        cfg->num_messengers, mk, mv);
            mc->segment_filled[seg_idx] = 1;
            if (seg_idx + 1 > mc->n_filled) mc->n_filled = seg_idx + 1;
            g_ca_stats.last_n_filled = mc->n_filled;

            /* 探针: 信使间相似度 + 信使范数 (审查建议的核心验证项)
             * 去同质化目标: 信使间余弦 < 0.2 说明信使携带的是"差异"而非"共识均值"
             * 范数钳制目标: 信使范数应被 MSG_NORM_CAP=4.0 约束, 不被注意力按范数主导 */
            {
                int S = cfg->num_messengers;
                float seg_cos_sum = 0.0f; int seg_cos_pairs = 0;
                float seg_norm_sum = 0.0f;
                for (int a = 0; a < S; a++) {
                    const float *ma = mv + (size_t)a * n_embd;
                    float na = 0.0f;
                    for (int d = 0; d < n_embd; d++) na += ma[d] * ma[d];
                    na = sqrtf(na);
                    seg_norm_sum += na;
                    for (int b = a + 1; b < S; b++) {
                        const float *mb = mv + (size_t)b * n_embd;
                        float dot = 0.0f, nb = 0.0f;
                        for (int d = 0; d < n_embd; d++) {
                            dot += ma[d] * mb[d];
                            nb += mb[d] * mb[d];
                        }
                        nb = sqrtf(nb);
                        float cos = (na > 1e-6f && nb > 1e-6f) ? dot / (na * nb) : 0.0f;
                        seg_cos_sum += cos;
                        seg_cos_pairs++;
                    }
                }
                if (seg_cos_pairs > 0)
                    g_ca_stats.msg_inter_cos += seg_cos_sum / seg_cos_pairs;
                g_ca_stats.msg_norm += seg_norm_sum / (float)S;
                g_ca_stats.msg_segments++;
            }
        }
    }

    /* 构建当前 token 的注意力候选集:
     *   - 局部窗口:[max(0, seq_pos - window), seq_pos]
     *   - 本片段信使(如果当前片段已完成)
     *   - 邻近片段信使(前 messenger_neighbors 个已完成的片段)
     *   - 全局头:可以访问全部已生成信使
     *
     * 注意:候选集大小受限于 scratch buffer(10240) */
    int n_attend = 0;
    int pos_list[10240];
    int is_messenger[10240];  /* 标记该位置是信使还是普通 token */

    for (int h = 0; h < n_head; h++) {
        HeadAccessType htype = get_head_access_type(h, n_head, cfg);
        int window = get_head_window(h, n_head,
                                     cfg->gate_window > 0 ? cfg->gate_window : 64,
                                     cfg);
        if (window < 1) window = 1;

        /* 构建候选位置列表 */
        n_attend = 0;
        /* 1. 局部窗口(因果:只看 seq_pos 之前 + 自己) */
        int win_start = seq_pos - window + 1;
        if (win_start < 0) win_start = 0;
        for (int j = win_start; j <= seq_pos && n_attend < 10240; j++) {
            pos_list[n_attend] = j;
            is_messenger[n_attend] = -1;  /* -1 = 普通 token, >=0 = 信使索引 */
            n_attend++;
        }

        /* 2. 本片段信使 + 邻近片段信使(仅 MESSENGER/GLOBAL 头) */
        int can_msg = head_can_access_messenger(h, n_head, cfg);
        if (can_msg && mc && cfg->num_messengers > 0) {
            int n_neighbor = cfg->messenger_neighbors > 0 ? cfg->messenger_neighbors : 2;
            /* 邻近片段:seg_idx - n_neighbor .. seg_idx - 1(已完成的) */
            int neighbor_start = seg_idx - n_neighbor;
            if (neighbor_start < 0) neighbor_start = 0;
            for (int s = neighbor_start; s <= seg_idx && n_attend < 10240; s++) {
                if (s >= mc->segment_capacity) break;
                if (!mc->segment_filled[s]) continue;
                /* 该片段的每个信使都加入候选集 */
                for (int m = 0; m < cfg->num_messengers && n_attend < 10240; m++) {
                    /* 用特殊编码标记信使:pos = -1, messenger_idx = s * num_messengers + m */
                    pos_list[n_attend] = -1;  /* 标记为信使 */
                    is_messenger[n_attend] = s * cfg->num_messengers + m;
                    n_attend++;
                }
            }
        }

        /* 全局头:访问全部已生成信使(不限邻近) */
        if (htype == HEAD_GLOBAL && mc && cfg->num_messengers > 0) {
            for (int s = 0; s < mc->n_filled && n_attend < 10240; s++) {
                if (s >= mc->segment_capacity) break;
                if (!mc->segment_filled[s]) continue;
                /* 跳过已在邻近列表中的(避免重复) */
                int n_neighbor = cfg->messenger_neighbors > 0 ? cfg->messenger_neighbors : 2;
                int neighbor_start = seg_idx - n_neighbor;
                if (neighbor_start < 0) neighbor_start = 0;
                if (s >= neighbor_start && s <= seg_idx) continue;
                for (int m = 0; m < cfg->num_messengers && n_attend < 10240; m++) {
                    pos_list[n_attend] = -1;
                    is_messenger[n_attend] = s * cfg->num_messengers + m;
                    n_attend++;
                }
            }
        }

        if (n_attend == 0) {
            /* 至少关注自己 */
            pos_list[0] = seq_pos;
            is_messenger[0] = -1;
            n_attend = 1;
        }
        /* v16 探针: 候选集统计。
         * 修正(指标口径 bug):candidates 只累计【普通 token 候选】(窗口内的真实 token),
         * 信使成本单独计入 msg_candidates。否则短样本下「窗口截断到 seq_pos+1 + 信使」
         * 会让 n_attend 超过 full_equiv,导致"候选精简"显示为负,误导为机制失效。
         * 概念注意力的精简收益来自「用少量信使替代大量历史 token」,普通 token 候选
         * 应 ≤ 窗口(截断到 seq_pos+1) ≤ 标准全注意力成本。 */
        int token_cands = 0;
        for (int i = 0; i < n_attend; i++) {
            if (is_messenger[i] >= 0) g_ca_stats.msg_candidates++;
            else token_cands++;
        }
        g_ca_stats.candidates += token_cands;

        /* 计算注意力分数 */
        const float *Q_h = Q + h * head_dim;
        float scores[10240];
        float max_score = -1e30f;

        for (int i = 0; i < n_attend; i++) {
            const float *K_jh;
            if (is_messenger[i] >= 0) {
                /* 信使 K */
                int msg_idx = is_messenger[i];
                K_jh = mc->messenger_k + (size_t)msg_idx * n_embd + h * head_dim;
            } else {
                /* 普通 token K(从 KV cache) */
                int j = pos_list[i];
                int phys_j = j % n_ctx;
                K_jh = k_cache + (size_t)phys_j * n_embd + h * head_dim;
            }

            /* Layer 2: 关系强度门控(仅对普通 token,信使总是保留) */
            if (is_messenger[i] < 0 && cfg->gate_enable) {
                int j = pos_list[i];
                int distance = seq_pos - j;
                g_ca_stats.gate_pairs++;
                /* Bug Fix 2: 记录门控分数到滑动窗口以计算自适应分位数阈值 */
                {
                    int coarse_dim2 = head_dim > 16 ? head_dim / 4 : head_dim;
                    float qn = 0, kn = 0, dt = 0;
                    for (int d = 0; d < coarse_dim2; d++) {
                        dt += Q_h[d] * K_jh[d];
                        qn += Q_h[d] * Q_h[d];
                        kn += K_jh[d] * K_jh[d];
                    }
                    float sim = dt / (sqrtf(qn + 1e-8f) * sqrtf(kn + 1e-8f) + 1e-8f);
                    float dp = 1.0f;
                    if (cfg->gate_distance_prior && distance > 0) {
                        float tau = (float)(cfg->segment_len > 0 ? cfg->segment_len : 64);
                        dp = expf(-(float)distance / tau);
                    }
                    float gs = sim + (cfg->gate_distance_prior ? 0.5f * dp : 0.0f);
                    gate_score_record(gs);
                }
                if (!concept_boundary_gate(Q_h, K_jh, head_dim, distance, cfg)) {
                    scores[i] = -1e30f;  /* 屏蔽 */
                    g_ca_stats.gate_blocked++;
                    continue;
                }
            }

            float dot = 0.0f;
            for (int d = 0; d < head_dim; d++) dot += Q_h[d] * K_jh[d];
            dot *= scale;
            scores[i] = dot;
            if (dot > max_score) max_score = dot;
        }

        /* Softmax */
        float sum_exp = 0.0f;
        float attn_w[10240];
        for (int i = 0; i < n_attend; i++) {
            float e = expf(scores[i] - max_score);
            attn_w[i] = e;
            sum_exp += e;
        }
        float inv_sum = 1.0f / (sum_exp + 1e-12f);
        for (int i = 0; i < n_attend; i++) attn_w[i] *= inv_sum;
        /* v16 探针: 信使注意力质量 */
        for (int i = 0; i < n_attend; i++)
            if (is_messenger[i] >= 0) g_ca_stats.msg_mass += attn_w[i];

        /* 加权求和 V */
        float *out_h = attn_out + h * head_dim;
        for (int d = 0; d < head_dim; d++) out_h[d] = 0.0f;
        for (int i = 0; i < n_attend; i++) {
            if (scores[i] <= -1e29f) continue;  /* 被门控屏蔽的跳过 */
            const float *V_jh;
            if (is_messenger[i] >= 0) {
                int msg_idx = is_messenger[i];
                V_jh = mc->messenger_v + (size_t)msg_idx * n_embd + h * head_dim;
            } else {
                int j = pos_list[i];
                int phys_j = j % n_ctx;
                V_jh = v_cache + (size_t)phys_j * n_embd + h * head_dim;
            }
            float w = attn_w[i];
            for (int d = 0; d < head_dim; d++) out_h[d] += w * V_jh[d];
        }
    }
}

/* ─── Layer 4: Concept-Aware Attention Backward ──────────────────
 * 概念感知注意力反向传播。计算当前 token 的 Q/K/V 梯度。
 * 缓存的 K/V(位置 0..seq_pos-1)视为常量(与 attention_backward 一致)。
 * 信使视为常量(不回传梯度到信使生成路径,简化实现)。
 */
void attention_backward_concept(float *grad_qkv, const float *grad_attn_out,
                                const float *qkv, int n_embd, int n_head,
                                int seq_pos,
                                const float *k_cache, const float *v_cache,
                                int n_ctx,
                                const ConceptAttnConfig *cfg,
                                MessengerCache *mc) {
    /* 主开关关闭 → 回退到 sliding window attention backward (端到端统一) */
    if (!cfg || !cfg->enable) {
        attention_backward_sliding(grad_qkv, grad_attn_out, qkv, n_embd, n_head,
                                    seq_pos, k_cache, v_cache, n_ctx,
                                    g_attn_window > 0 ? g_attn_window : n_ctx,
                                    g_attn_sink);
        return;
    }
    (void)n_ctx;

    int head_dim = n_embd / n_head;
    float scale = 1.0f / sqrtf((float)head_dim);

    const float *Q = qkv;
    float *gQ = grad_qkv;
    float *gK = grad_qkv + n_embd;
    float *gV = grad_qkv + 2 * n_embd;
    memset(grad_qkv, 0, 3 * n_embd * sizeof(float));

    int seg_len = cfg->segment_len > 0 ? cfg->segment_len : n_ctx;
    int seg_idx = seq_pos / seg_len;

    for (int h = 0; h < n_head; h++) {
        HeadAccessType htype = get_head_access_type(h, n_head, cfg);
        int window = get_head_window(h, n_head,
                                     cfg->gate_window > 0 ? cfg->gate_window : 64,
                                     cfg);
        if (window < 1) window = 1;
        const float *Q_h = Q + h * head_dim;
        const float *g_out_h = grad_attn_out + h * head_dim;

        /* 重建候选集(与前向一致) */
        int n_attend = 0;
        int pos_list[10240];
        int is_messenger[10240];

        int win_start = seq_pos - window + 1;
        if (win_start < 0) win_start = 0;
        for (int j = win_start; j <= seq_pos && n_attend < 10240; j++) {
            pos_list[n_attend] = j;
            is_messenger[n_attend] = -1;  /* -1 = 普通 token, >=0 = 信使索引 */
            n_attend++;
        }

        int can_msg = head_can_access_messenger(h, n_head, cfg);
        if (can_msg && mc && cfg->num_messengers > 0) {
            int n_neighbor = cfg->messenger_neighbors > 0 ? cfg->messenger_neighbors : 2;
            int neighbor_start = seg_idx - n_neighbor;
            if (neighbor_start < 0) neighbor_start = 0;
            for (int s = neighbor_start; s <= seg_idx && n_attend < 10240; s++) {
                if (s >= mc->segment_capacity) break;
                if (!mc->segment_filled[s]) continue;
                for (int m = 0; m < cfg->num_messengers && n_attend < 10240; m++) {
                    pos_list[n_attend] = -1;
                    is_messenger[n_attend] = s * cfg->num_messengers + m;
                    n_attend++;
                }
            }
        }

        if (htype == HEAD_GLOBAL && mc && cfg->num_messengers > 0) {
            for (int s = 0; s < mc->n_filled && n_attend < 10240; s++) {
                if (s >= mc->segment_capacity) break;
                if (!mc->segment_filled[s]) continue;
                int n_neighbor = cfg->messenger_neighbors > 0 ? cfg->messenger_neighbors : 2;
                int neighbor_start = seg_idx - n_neighbor;
                if (neighbor_start < 0) neighbor_start = 0;
                if (s >= neighbor_start && s <= seg_idx) continue;
                for (int m = 0; m < cfg->num_messengers && n_attend < 10240; m++) {
                    pos_list[n_attend] = -1;
                    is_messenger[n_attend] = s * cfg->num_messengers + m;
                    n_attend++;
                }
            }
        }

        if (n_attend == 0) {
            pos_list[0] = seq_pos;
            is_messenger[0] = -1;
            n_attend = 1;
        }

        /* 重算 scores + softmax(K 在 cache 中) */
        float scores[10240], w[10240], g_w[10240];
        float max_score = -1e30f;
        for (int i = 0; i < n_attend; i++) {
            const float *K_jh;
            if (is_messenger[i] >= 0) {
                int msg_idx = is_messenger[i];
                K_jh = mc->messenger_k + (size_t)msg_idx * n_embd + h * head_dim;
            } else {
                int j = pos_list[i];
                int phys_j = j % n_ctx;
                K_jh = k_cache + (size_t)phys_j * n_embd + h * head_dim;
            }
            if (is_messenger[i] < 0 && cfg->gate_enable) {
                int j = pos_list[i];
                int distance = seq_pos - j;
                if (!concept_boundary_gate(Q_h, K_jh, head_dim, distance, cfg)) {
                    scores[i] = -1e30f;
                    continue;
                }
            }
            float dot = 0.0f;
            for (int d = 0; d < head_dim; d++) dot += Q_h[d] * K_jh[d];
            dot *= scale;
            scores[i] = dot;
            if (dot > max_score) max_score = dot;
        }

        float sum_exp = 0.0f;
        for (int i = 0; i < n_attend; i++) {
            float e = expf(scores[i] - max_score);
            w[i] = e; sum_exp += e;
        }
        float inv = 1.0f / (sum_exp + 1e-12f);
        for (int i = 0; i < n_attend; i++) w[i] *= inv;

        /* g_w[i] = <g_out, V_i> */
        float dot_gw_w = 0.0f;
        for (int i = 0; i < n_attend; i++) {
            if (scores[i] <= -1e29f) { g_w[i] = 0.0f; continue; }
            const float *V_jh;
            if (is_messenger[i] >= 0) {
                int msg_idx = is_messenger[i];
                V_jh = mc->messenger_v + (size_t)msg_idx * n_embd + h * head_dim;
            } else {
                int j = pos_list[i];
                int phys_j = j % n_ctx;
                V_jh = v_cache + (size_t)phys_j * n_embd + h * head_dim;
            }
            float g = 0.0f;
            for (int d = 0; d < head_dim; d++) g += g_out_h[d] * V_jh[d];
            g_w[i] = g;
            dot_gw_w += g * w[i];
        }

        /* g_scores[i] = w[i] * (g_w[i] - <g_w, w>) */
        float g_scores[10240];
        for (int i = 0; i < n_attend; i++) {
            g_scores[i] = (scores[i] <= -1e29f) ? 0.0f : w[i] * (g_w[i] - dot_gw_w);
        }

        /* g_Q[d] += sum_i g_scores[i] * K_i[d] * scale */
        float *gQ_h = gQ + h * head_dim;
        for (int i = 0; i < n_attend; i++) {
            if (g_scores[i] == 0.0f) continue;
            const float *K_jh;
            if (is_messenger[i] >= 0) {
                int msg_idx = is_messenger[i];
                K_jh = mc->messenger_k + (size_t)msg_idx * n_embd + h * head_dim;
            } else {
                int j = pos_list[i];
                int phys_j = j % n_ctx;
                K_jh = k_cache + (size_t)phys_j * n_embd + h * head_dim;
            }
            float gs = g_scores[i] * scale;
            for (int d = 0; d < head_dim; d++) gQ_h[d] += gs * K_jh[d];
        }

        /* 当前 token 的 K/V 梯度(只在 seq_pos 在候选集中时) */
        int self_idx = -1;
        for (int i = 0; i < n_attend; i++) {
            if (is_messenger[i] < 0 && pos_list[i] == seq_pos) {
                self_idx = i;
                break;
            }
        }
        if (self_idx >= 0) {
            /* g_K_cur[d] += g_scores[self_idx] * Q[d] * scale */
            float *gK_h = gK + h * head_dim;
            float gs = g_scores[self_idx] * scale;
            for (int d = 0; d < head_dim; d++) gK_h[d] += gs * Q_h[d];

            /* g_V_cur[d] += w[self_idx] * g_out[d] */
            float *gV_h = gV + h * head_dim;
            float w_self = w[self_idx];
            for (int d = 0; d < head_dim; d++) gV_h[d] += w_self * g_out_h[d];
        }
    }
}

/* ─── Integration Guide: trans_layer_forward_concept ─────────────
 * trans_layer_forward 的实现包含比例缩放、残差归一化等复杂逻辑,
 * 完整复制易引入 bug。推荐集成方式:
 *
 *   在现有 trans_layer_forward() 中,将 attention_forward 调用替换为:
 *
 *     if (g_concept_attn_cfg.enable && g_messenger_caches) {
 *         attention_forward_concept(act->attn_out, qkv_ptr,
 *                                    n, cfg->n_head, abs_pos,
 *                                    tl->kv_k, tl->kv_v, cfg->n_ctx,
 *                                    &g_concept_attn_cfg,
 *                                    &g_messenger_caches[layer_idx]);
 *     } else {
 *         attention_forward(act->attn_out, qkv_ptr, n, cfg->n_head,
 *                            abs_pos, tl->kv_k, tl->kv_v);
 *     }
 *
 *   反向传播同理:将 attention_backward 替换为 attention_backward_concept。
 *
 *   通过 model_set_concept_attn() 在运行时配置,无需修改模型结构。
 * ──────────────────────────────────────────────────────────────────── */

/* ─── Global Messenger Cache Management (per-layer) ──────────────
 * 在 model_load 时分配,model_free 时释放。
 * 每层一个 MessengerCache,按 layer_idx 索引。
 */
void model_messenger_caches_alloc(Model *m, const ConceptAttnConfig *cfg) {
    if (!m || !cfg || !cfg->enable) return;
    int n_layer = m->cfg.n_layer;
    if (n_layer <= 0) return;

    /* 释放旧的 */
    if (g_messenger_caches) {
        for (int i = 0; i < g_messenger_caches_n_layer; i++)
            messenger_cache_free(&g_messenger_caches[i]);
        free(g_messenger_caches);
    }

    int seg_len = cfg->segment_len > 0 ? cfg->segment_len : m->cfg.n_ctx;
    int seg_capacity = (m->cfg.n_ctx / seg_len) + 2;  /* +2 余量 */
    g_messenger_caches = (MessengerCache *)calloc(n_layer, sizeof(MessengerCache));
    if (!g_messenger_caches) {
        fprintf(stderr, "[!] model_messenger_caches_alloc: OOM\n");
        return;
    }
    g_messenger_caches_n_layer = n_layer;
    for (int i = 0; i < n_layer; i++) {
        messenger_cache_alloc(&g_messenger_caches[i], seg_capacity,
                              cfg->num_messengers, m->cfg.n_embd);
    }
    printf("[*] messenger caches allocated: %d layers, cap=%d segments/layer, S=%d messengers/segment\n",
           n_layer, seg_capacity, cfg->num_messengers);
}

void model_messenger_caches_free(void) {
    if (!g_messenger_caches) return;
    for (int i = 0; i < g_messenger_caches_n_layer; i++)
        messenger_cache_free(&g_messenger_caches[i]);
    free(g_messenger_caches);
    g_messenger_caches = NULL;
    g_messenger_caches_n_layer = 0;
}

void model_messenger_caches_reset(void) {
    if (!g_messenger_caches) return;
    for (int i = 0; i < g_messenger_caches_n_layer; i++)
        messenger_cache_reset(&g_messenger_caches[i]);
}

/* ─── Configure Concept-Aware Attention at Runtime ─────────────── */
void model_set_concept_attn(Model *m, const ConceptAttnConfig *cfg) {
    if (!m || !cfg) return;
    g_concept_attn_cfg = *cfg;
    if (cfg->enable) {
        model_messenger_caches_alloc(m, cfg);
        printf("[*] concept-aware attention enabled: seg_len=%d, S=%d, neighbors=%d, "
               "gate=%d(threshold=%.3f, fallback=%.4f), hetero=%d(local=%d, msg=%d)\n",
               cfg->segment_len, cfg->num_messengers, cfg->messenger_neighbors,
               cfg->gate_enable, cfg->gate_threshold, cfg->gate_fallback_prob,
               cfg->hetero_enable, cfg->n_local_heads, cfg->n_messenger_heads);
    } else {
        model_messenger_caches_free();
        printf("[*] concept-aware attention disabled (fallback to standard attention)\n");
    }
}

/* v16: 概念注意力探针 — 输出聚合统计并重置计数器 */
void concept_attn_probe_print(void) {
    ConceptAttnStats *s = &g_ca_stats;
    /* 诊断: 若两个版本都没走过前向 (forwards==0 && forwards_ctx==0), 打印根因.
     * 修复 (2026-08-17): 旧探针只看 forwards (简单版), 但训练 forward 实际
     * 走的是 attention_forward_concept_ctx (长上下文记忆版), 导致 fwd=0 假警报
     * 团队持续误以为概念注意力没参与前向. 现在两个计数都看. */
    long total_fwd = s->forwards + s->forwards_ctx;
    if (total_fwd == 0) {
        printf("  [CATTN] fwd=0  ⚠ 概念注意力未参与前向 | enable=%d caches=%s cctx_enable=%d cg=%s\n",
               g_concept_attn_cfg.enable, g_messenger_caches ? "OK" : "NULL",
               g_cctx_cfg.enable, g_runtime_cg ? "loaded" : "NULL");
        concept_attn_stats_reset();
        return;
    }
    double reduction = s->full_equiv > 0 ?
        100.0 * (1.0 - (double)s->candidates / (double)s->full_equiv) : 0.0;
    double gate_rate = s->gate_pairs > 0 ?
        100.0 * (double)s->gate_blocked / (double)s->gate_pairs : 0.0;
    double msg_share = s->candidates > 0 ?
        100.0 * (double)s->msg_candidates / (double)s->candidates : 0.0;
    double msg_mass_per_head = (s->forwards + s->forwards_ctx) > 0 ?
        s->msg_mass / (double)(s->forwards + s->forwards_ctx) : 0.0;
    double msg_cos = s->msg_segments > 0 ?
        s->msg_inter_cos / (double)s->msg_segments : 0.0;
    double msg_norm = s->msg_segments > 0 ?
        s->msg_norm / (double)s->msg_segments : 0.0;
    /* 审查判定: 信使间余弦 < 0.2 才算去同质化达标 (机制潜力挖完的判据) */
    const char *cos_tag = msg_cos < 0.2f ? "OK" : (msg_cos < 0.35f ? "改善中" : "同质化!");
    printf("  [CATTN] fwd_simple=%ld fwd_ctx=%ld 候选精简=%.1f%% 门控屏蔽=%.1f%% 信使候选=%.1f%% 信使质量=%.3f/头 片段=%d\n",
           s->forwards, s->forwards_ctx, reduction, gate_rate, msg_share, msg_mass_per_head, s->last_n_filled);
    /* ctx 版本专属统计: 概念槽命中情况 */
    if (s->forwards_ctx > 0) {
        double avg_attend = (double)s->ctx_total_attend / (double)s->forwards_ctx;
        double avg_slots  = (double)s->ctx_memory_slots_used / (double)s->forwards_ctx;
        printf("  [CATTN-CTX] 平均候选/前向=%.1f (含概念槽=%.2f, sink+window=%.1f) 槽命中率=%.1f%%\n",
               avg_attend, avg_slots, avg_attend - avg_slots,
               avg_attend > 0 ? 100.0 * avg_slots / avg_attend : 0.0);
    }
    printf("  [CATTN-PROBE] 信使间余弦=%.3f(%s,目标<0.2) 信使均范数=%.2f(钳制4.0) 统计片段=%ld\n",
           msg_cos, cos_tag, msg_norm, s->msg_segments);
    concept_attn_stats_reset();
}