xref: /freebsd/sys/netinet/cc/cc_cubic.h (revision d0b2dbfa0ecf2bbc9709efc5e20baf8e4b44bbbf)
1 /*-
2  * SPDX-License-Identifier: BSD-2-Clause
3  *
4  * Copyright (c) 2008-2010 Lawrence Stewart <lstewart@freebsd.org>
5  * Copyright (c) 2010 The FreeBSD Foundation
6  * All rights reserved.
7  *
8  * This software was developed by Lawrence Stewart while studying at the Centre
9  * for Advanced Internet Architectures, Swinburne University of Technology, made
10  * possible in part by a grant from the Cisco University Research Program Fund
11  * at Community Foundation Silicon Valley.
12  *
13  * Portions of this software were developed at the Centre for Advanced
14  * Internet Architectures, Swinburne University of Technology, Melbourne,
15  * Australia by David Hayes under sponsorship from the FreeBSD Foundation.
16  *
17  * Redistribution and use in source and binary forms, with or without
18  * modification, are permitted provided that the following conditions
19  * are met:
20  * 1. Redistributions of source code must retain the above copyright
21  *    notice, this list of conditions and the following disclaimer.
22  * 2. Redistributions in binary form must reproduce the above copyright
23  *    notice, this list of conditions and the following disclaimer in the
24  *    documentation and/or other materials provided with the distribution.
25  *
26  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
27  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
28  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
29  * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
30  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
31  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
32  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
33  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
34  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
35  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
36  * SUCH DAMAGE.
37  */
38 
39 #ifndef _NETINET_CC_CUBIC_H_
40 #define _NETINET_CC_CUBIC_H_
41 
42 #include <sys/limits.h>
43 
44 /* Number of bits of precision for fixed point math calcs. */
45 #define	CUBIC_SHIFT		8
46 
47 #define	CUBIC_SHIFT_4		32
48 
49 /* 0.5 << CUBIC_SHIFT. */
50 #define	RENO_BETA		128
51 
52 /* ~0.7 << CUBIC_SHIFT. */
53 #define	CUBIC_BETA		179
54 
55 /* ~0.3 << CUBIC_SHIFT. */
56 #define	ONE_SUB_CUBIC_BETA	77
57 
58 /* 3 * ONE_SUB_CUBIC_BETA. */
59 #define	THREE_X_PT3		231
60 
61 /* (2 << CUBIC_SHIFT) - ONE_SUB_CUBIC_BETA. */
62 #define	TWO_SUB_PT3		435
63 
64 /* ~0.4 << CUBIC_SHIFT. */
65 #define	CUBIC_C_FACTOR		102
66 
67 /* CUBIC fast convergence factor: (1+beta_cubic)/2. */
68 #define	CUBIC_FC_FACTOR		217
69 
70 /* Don't trust s_rtt until this many rtt samples have been taken. */
71 #define	CUBIC_MIN_RTT_SAMPLES	8
72 
73 /*
74  * (2^21)^3 is long max. Dividing (2^63) by Cubic_C_factor
75  * and taking cube-root yields 448845 as the effective useful limit
76  */
77 #define	CUBED_ROOT_MAX_ULONG	448845
78 
79 /* Flags used in the cubic structure */
80 #define CUBICFLAG_CONG_EVENT		0x00000001	/* congestion experienced */
81 #define CUBICFLAG_IN_SLOWSTART		0x00000002	/* in slow start */
82 #define CUBICFLAG_IN_APPLIMIT		0x00000004	/* application limited */
83 #define CUBICFLAG_RTO_EVENT		0x00000008	/* RTO experienced */
84 #define CUBICFLAG_HYSTART_ENABLED	0x00000010	/* Hystart++ is enabled */
85 #define CUBICFLAG_HYSTART_IN_CSS	0x00000020	/* We are in Hystart++ CSS */
86 
87 /* Kernel only bits */
88 #ifdef _KERNEL
89 struct cubic {
90 	/* CUBIC K in fixed point form with CUBIC_SHIFT worth of precision. */
91 	int64_t		K;
92 	/* Sum of RTT samples across an epoch in usecs. */
93 	int64_t		sum_rtt_usecs;
94 	/* Size of cwnd just before cwnd was reduced in the last congestion event */
95 	uint64_t	W_max;
96 	/* An estimate for the congestion window in the Reno-friendly region */
97 	uint64_t	W_est;
98 	/* The cwnd at the beginning of the current congestion avoidance stage */
99 	uint64_t	cwnd_epoch;
100 	/*
101 	 * Size of cwnd at the time of setting ssthresh most recently,
102 	 * either upon exiting the first slow start, or just before cwnd
103 	 * was reduced in the last congestion event
104 	 */
105 	uint64_t	cwnd_prior;
106 	/* various flags */
107 	uint32_t	flags;
108 	/* Minimum observed rtt in usecs. */
109 	int		min_rtt_usecs;
110 	/* Mean observed rtt between congestion epochs. */
111 	int		mean_rtt_usecs;
112 	/* ACKs since last congestion event. */
113 	int		epoch_ack_count;
114 	/* Timestamp (in ticks) at which the current CA epoch started. */
115 	int		t_epoch;
116 	/* Timestamp (in ticks) at which the previous CA epoch started. */
117 	int		undo_t_epoch;
118 	/* Few variables to restore the state after RTO_ERR */
119 	int64_t		undo_K;
120 	uint64_t	undo_cwnd_prior;
121 	uint64_t	undo_W_max;
122 	uint64_t	undo_W_est;
123 	uint64_t	undo_cwnd_epoch;
124 	/* Number of congestion events experienced */
125 	uint64_t	num_cong_events;
126 	uint32_t css_baseline_minrtt;
127 	uint32_t css_current_round_minrtt;
128 	uint32_t css_lastround_minrtt;
129 	uint32_t css_rttsample_count;
130 	uint32_t css_entered_at_round;
131 	uint32_t css_current_round;
132 	uint32_t css_fas_at_css_entry;
133 	uint32_t css_lowrtt_fas;
134 	uint32_t css_last_fas;
135 };
136 #endif
137 
138 /* Userland only bits. */
139 #ifndef _KERNEL
140 
141 extern int hz;
142 
143 /*
144  * Implementation based on the formulae found in the CUBIC Internet Draft
145  * "draft-ietf-tcpm-cubic-04".
146  *
147  */
148 
149 static __inline float
150 theoretical_cubic_k(double wmax_pkts)
151 {
152 	double C;
153 
154 	C = 0.4;
155 
156 	return (pow((wmax_pkts * 0.3) / C, (1.0 / 3.0)) * pow(2, CUBIC_SHIFT));
157 }
158 
159 static __inline unsigned long
160 theoretical_cubic_cwnd(int ticks_since_epoch, unsigned long wmax, uint32_t smss)
161 {
162 	double C, wmax_pkts;
163 
164 	C = 0.4;
165 	wmax_pkts = wmax / (double)smss;
166 
167 	return (smss * (wmax_pkts +
168 	    (C * pow(ticks_since_epoch / (double)hz -
169 	    theoretical_cubic_k(wmax_pkts) / pow(2, CUBIC_SHIFT), 3.0))));
170 }
171 
172 static __inline unsigned long
173 theoretical_reno_cwnd(int ticks_since_epoch, int rtt_ticks, unsigned long wmax,
174     uint32_t smss)
175 {
176 
177 	return ((wmax * 0.5) + ((ticks_since_epoch / (float)rtt_ticks) * smss));
178 }
179 
180 static __inline unsigned long
181 theoretical_tf_cwnd(int ticks_since_epoch, int rtt_ticks, unsigned long wmax,
182     uint32_t smss)
183 {
184 
185 	return ((wmax * 0.7) + ((3 * 0.3) / (2 - 0.3) *
186 	    (ticks_since_epoch / (float)rtt_ticks) * smss));
187 }
188 
189 #endif /* !_KERNEL */
190 
191 /*
192  * Compute the CUBIC K value used in the cwnd calculation, using an
193  * implementation of eqn 2 in the I-D. The method used
194  * here is adapted from Apple Computer Technical Report #KT-32.
195  */
196 static __inline int64_t
197 cubic_k(unsigned long wmax_pkts)
198 {
199 	int64_t s, K;
200 	uint16_t p;
201 
202 	K = s = 0;
203 	p = 0;
204 
205 	/* (wmax * beta)/C with CUBIC_SHIFT worth of precision. */
206 	s = ((wmax_pkts * ONE_SUB_CUBIC_BETA) << CUBIC_SHIFT) / CUBIC_C_FACTOR;
207 
208 	/* Rebase s to be between 1 and 1/8 with a shift of CUBIC_SHIFT. */
209 	while (s >= 256) {
210 		s >>= 3;
211 		p++;
212 	}
213 
214 	/*
215 	 * Some magic constants taken from the Apple TR with appropriate
216 	 * shifts: 275 == 1.072302 << CUBIC_SHIFT, 98 == 0.3812513 <<
217 	 * CUBIC_SHIFT, 120 == 0.46946116 << CUBIC_SHIFT.
218 	 */
219 	K = (((s * 275) >> CUBIC_SHIFT) + 98) -
220 	    (((s * s * 120) >> CUBIC_SHIFT) >> CUBIC_SHIFT);
221 
222 	/* Multiply by 2^p to undo the rebasing of s from above. */
223 	return (K <<= p);
224 }
225 
226 /*
227  * Compute the new cwnd value using an implementation of eqn 1 from the I-D.
228  * Thanks to Kip Macy for help debugging this function.
229  *
230  * XXXLAS: Characterise bounds for overflow.
231  */
232 static __inline unsigned long
233 cubic_cwnd(int usecs_since_epoch, unsigned long wmax, uint32_t smss, int64_t K)
234 {
235 	int64_t cwnd;
236 
237 	/* K is in fixed point form with CUBIC_SHIFT worth of precision. */
238 
239 	/* t - K, with CUBIC_SHIFT worth of precision. */
240 	cwnd = (((int64_t)usecs_since_epoch << CUBIC_SHIFT) - (K * hz * tick)) /
241 	       (hz * tick);
242 
243 	if (cwnd > CUBED_ROOT_MAX_ULONG)
244 		return INT_MAX;
245 	if (cwnd < -CUBED_ROOT_MAX_ULONG)
246 		return 0;
247 
248 	/* (t - K)^3, with CUBIC_SHIFT^3 worth of precision. */
249 	cwnd *= (cwnd * cwnd);
250 
251 	/*
252 	 * C(t - K)^3 + wmax
253 	 * The down shift by CUBIC_SHIFT_4 is because cwnd has 4 lots of
254 	 * CUBIC_SHIFT included in the value. 3 from the cubing of cwnd above,
255 	 * and an extra from multiplying through by CUBIC_C_FACTOR.
256 	 */
257 
258 	cwnd = ((cwnd * CUBIC_C_FACTOR) >> CUBIC_SHIFT_4) * smss + wmax;
259 
260 	/*
261 	 * for negative cwnd, limiting to zero as lower bound
262 	 */
263 	return (lmax(0,cwnd));
264 }
265 
266 /*
267  * Compute an approximation of the NewReno cwnd some number of usecs after a
268  * congestion event. RTT should be the average RTT estimate for the path
269  * measured over the previous congestion epoch and wmax is the value of cwnd at
270  * the last congestion event. The "TCP friendly" concept in the CUBIC I-D is
271  * rather tricky to understand and it turns out this function is not required.
272  * It is left here for reference.
273  *
274  * XXX: Not used
275  */
276 static __inline unsigned long
277 reno_cwnd(int usecs_since_epoch, int rtt_usecs, unsigned long wmax,
278     uint32_t smss)
279 {
280 
281 	/*
282 	 * For NewReno, beta = 0.5, therefore: W_tcp(t) = wmax*0.5 + t/RTT
283 	 * W_tcp(t) deals with cwnd/wmax in pkts, so because our cwnd is in
284 	 * bytes, we have to multiply by smss.
285 	 */
286 	return (((wmax * RENO_BETA) + (((usecs_since_epoch * smss)
287 	    << CUBIC_SHIFT) / rtt_usecs)) >> CUBIC_SHIFT);
288 }
289 
290 /*
291  * Compute an approximation of the "TCP friendly" cwnd some number of usecs
292  * after a congestion event that is designed to yield the same average cwnd as
293  * NewReno while using CUBIC's beta of 0.7. RTT should be the average RTT
294  * estimate for the path measured over the previous congestion epoch and wmax is
295  * the value of cwnd at the last congestion event.
296  */
297 static __inline unsigned long
298 tf_cwnd(int usecs_since_epoch, int rtt_usecs, unsigned long wmax,
299     uint32_t smss)
300 {
301 
302 	/* Equation 4 of I-D. */
303 	return (((wmax * CUBIC_BETA) +
304 	    (((THREE_X_PT3 * (unsigned long)usecs_since_epoch *
305 	    (unsigned long)smss) << CUBIC_SHIFT) / (TWO_SUB_PT3 * rtt_usecs)))
306 	    >> CUBIC_SHIFT);
307 }
308 
309 #endif /* _NETINET_CC_CUBIC_H_ */
310