[SUMMARY]: Problems with loss interval recalculation / audit against [RFC 3448, 5.4]

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This summarizes the issues that have been discussed, 
     reviews Ian's patch, and
     tries to identify related problems which impede progress.


1) List of known bugs affecting this problem
============================================

The following problems are still unresolved:

BUG#1: No attempt is made to ensure that losses are within the same RTT. This code is 
       missing. Ian has pointed this out already in December and I think he is working
       on it (patch `fix_consecutive_loss.diff'). Now we have another problem:

BUG#2: RTT estimation from CCVal does currently not work. There is code which goes towards
       this, but only for the first loss interval (function ccid3_hc_rx_calc_first_li, lines
       793 ... 835). Currently the code uses timestamps everywhere, hence we are not conforming
       to [RFC 4342, sec. 10.3]. This impedes fixing BUG#1; I have been working on this but not
       completed testing yet.

BUG#3: ccid3_hc_rx_detect_loss does not update hcrx->ccid3hcrx_ccval_nonloss in sync with
       hcrx->ccid3hcrx_seqno_nonloss  ==> this makes it difficult to fix BUG#1, since as a conseqence
       we now longer know which non-loss CCVal belongs to which non-loss sequence number.

BUG#4: Weights are scaled by 4 but the end result, in dccp_li_hist_calc_i_mean, is not divided by 4.
       This is fixed in Ian's patch, but _not_ in the existing code.

WISH#1: Using an array for the loss history would much simplify the code (as per earlier emails).


2) Issues raised by Eddie
=========================
The following are quotes from earlier emails.

(a) "From Ian's patch, it appears that the OLD code DID NOT include the most 
     recent loss interval (i.e., the incomplete loss interval, the one that has no 
     losses) in its calculation of i_tot1.  Ian has added the following line to do 
     this:

     > +    i_tot1 += non_loss * dccp_li_hist_w[0];

     This is correct.  The RFC requires that one of the i_tots include the 
     incomplete loss interval.  So this part of the patch is required for RFC 
     compliance.

     I am assuming however that the incomplete loss interval is NOT included in the 
     'hcrx->ccid3hcrx_li_hist' list.  If that list DOES include the incomplete loss 
     interval, then the code would need to be different."

   ==> This is the crucial point: the last loss interval is always added to the list first;
       both before and in Ian's patch. To illustrate, the calling path for this is as follows.

	ccid3_hc_rx_packet_recv():
		loss = ccid3_hc_rx_detect_loss(sk, packet);

        ccid3_hc_rx_detect_loss():
		while (dccp_delta_seqno(hcrx->ccid3hcrx_seqno_nonloss, seqno) > TFRC_RECV_NUM_LATE_LOSS) {
			loss = 1;
			ccid3_hc_rx_update_li(sk, hcrx->ccid3hcrx_seqno_nonloss,
		 	       	        	  hcrx->ccid3hcrx_ccval_nonloss);

	ccid3_hc_rx_update_li(): adds interval to hcrx->ccid3hcrx_li_hist

        Back in ccid3_hc_rx_packet_recv(), dccp_li_hist_calc_i_mean() is only executed when loss == 1,
        hence in dccp_li_hist_calc_i_mean() the most recent interval I_0 is always at the top of the list.


(b) "i_tot0 should include non_loss, but in the code i_tot1 does."
    ==> Please see below.

(c) "Also, the weights in dccp_li_hist_w appear to be wrong.  They should be 5, 5, 5, 5, 4, 3, 2, 1"
    ==> Please see BUG#4. To me it seems better to use exact values, but the implication behind these
        powers of 2 is that the implicitly get converted into bit-shifts and hence execute faster (as
        Arnaldo taught me).

		
3) Auditing against RFC 3448 (draft 3448bis)
============================================
I am referring to the more recent draft 3448bis, section 5.4, since the description in that draft is better
with regard to the case where k < 8 loss intervals have been found.

The following preconditions and terminology apply:

	* n is set to 7 and indices run 0..7, hence this is in accordance with [RFC 3448, 5.4]: we are
          never using more than 8 loss intervals, as is suggested there.

	* I_0 is the most recent loss interval. It is always included (see above for explanation).

	* The loss interval list is managed in LIFO manner (list_add), hence I_0 is at the head, and
          I_7 is at the tail.

	* Due to static allocation in dccp_li_hist_interval_new() and due to the add/delete cycle in 
          ccid3_hc_rx_update_li, the list always contains a constant number of 8 elements.


(a) Checking the way I_tot0 and W_tot are added
-----------------------------------------------    
The specification states the following (irrelevant statements have been removed):
	I_tot0 = 0;
	W_tot = 0;
        for (i = 0 to k-1) {
           I_tot0 = I_tot0 + (I_i * w_i);
           W_tot  = W_tot  + w_i;
         }
	
	==> In the current code we have 

	list_for_each_entry_safe(li_entry, li_next, list, dccplih_node) {
		if (li_entry->dccplih_interval != ~0) {
			i_tot0 += li_entry->dccplih_interval * dccp_li_hist_w[i];
			w_tot  += dccp_li_hist_w[i];
			
	==> In the current code, w_tot is added correctly, but i_tot0 is not, since I_tot7 will
            currentlly be added. Or, if k < 7, I_tot_k will be added (and it should not be).
            This is _not_ fixed by Ian's patch.

			
(b) Checking the way I_tot1 is summed
-------------------------------------
Here the specification states the following (again only relevant parts printed):

         I_tot1 = 0;
         for (i = 1 to k) {
           I_tot1 = I_tot1 + (I_i * w_(i-1));
         }

	 ==> In the current code we have:
	
	list_for_each_entry_safe(li_entry, li_next, list, dccplih_node) {
		if (li_entry->dccplih_interval != ~0) {
			if (i != 0)
				i_tot1 += li_entry->dccplih_interval * dccp_li_hist_w[i - 1];

	 ==> This is correct, since it sums up all I_i's from 1..k as required

	 ==> By contrast, Ian's patch does the following.
	
	list_for_each_entry_safe(li_entry, li_next, list, dccplih_node) {
 		if (li_entry->dccplih_interval != ~0U) {
			/* ... */
			if (i != 7)
				i_tot1 += li_entry->dccplih_interval * dccp_li_hist_w[i + 1];
			if (i == 0) {
				non_loss = dccp_hdr_seq(skb);
				sub48(&non_loss, li_entry->dccplih_seqno);
			}
		}
		if (++i > DCCP_LI_HIST_IVAL_F_LENGTH)
 			break;
 	}
	/* ... */
	i_tot1 += non_loss * dccp_li_hist_w[0];

	==> This stores the value of the first interval in the list into `non_loss' after recomputing it 
            (which is not necessary, since the first interval is always at the head of the list).
            Furthermore, transcribed into pseudo code, the loop does the following:

	    I_tot1 = 0;
	    for (i = 0 to k) {           		/* k is less than or equal to 8 */
		if (i != 7 )
                   I_tot1 = I_tot1 + (I_i * w_(i+1));
            }
            
            This is not conform with [RFC 3448, 5.4], even if i_tot0 and i_tot1 are switched. 

           The other problem with this code is that if k < 7 then I_tot0 and I_tot1 always contain _all_ 
           intervals, from 0..k, - which is again not conform with the specification.

4) Conclusion
=============
The current code does not in all cases conform with [RFC 3448, 5.4], Ian's patch changes parts which currently
conform to non-conform ones and fixes one existing bug (BUG#4). On the whole, neither is a satisfactory solution.

5) Suggested fix
================
I think we should migrate to an array-based implementation and fix the issues flagged up above there. In particular,
 * the statement 
	if (++i > DCCP_LI_HIST_IVAL_F_LENGTH)
 			break;
   is currently redundant: due to static allocation, we never have more than DCCP_LI_HIST_IVAL_F_LENGTH elements

 * we have to resort to the clumsy comparison against ~0U to identify empty loss intervals. With a ring-buffer-like        
   array solution, we could keep track of the current fill level of the list

 * if k < 8 we have no way of knowing this before the loop, hence the problem with updating I_tot0 will persist
   as long as we don't record the `fill level' of the buffer
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