xref: /freebsd/sys/netinet/cc/cc_cubic.h (revision 4bc52338)
1 /*-
2  * SPDX-License-Identifier: BSD-2-Clause-FreeBSD
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  * $FreeBSD$
39  */
40 
41 #ifndef _NETINET_CC_CUBIC_H_
42 #define _NETINET_CC_CUBIC_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 /* Userland only bits. */
74 #ifndef _KERNEL
75 
76 extern int hz;
77 
78 /*
79  * Implementation based on the formulae found in the CUBIC Internet Draft
80  * "draft-ietf-tcpm-cubic-04".
81  *
82  */
83 
84 static __inline float
85 theoretical_cubic_k(double wmax_pkts)
86 {
87 	double C;
88 
89 	C = 0.4;
90 
91 	return (pow((wmax_pkts * 0.3) / C, (1.0 / 3.0)) * pow(2, CUBIC_SHIFT));
92 }
93 
94 static __inline unsigned long
95 theoretical_cubic_cwnd(int ticks_since_cong, unsigned long wmax, uint32_t smss)
96 {
97 	double C, wmax_pkts;
98 
99 	C = 0.4;
100 	wmax_pkts = wmax / (double)smss;
101 
102 	return (smss * (wmax_pkts +
103 	    (C * pow(ticks_since_cong / (double)hz -
104 	    theoretical_cubic_k(wmax_pkts) / pow(2, CUBIC_SHIFT), 3.0))));
105 }
106 
107 static __inline unsigned long
108 theoretical_reno_cwnd(int ticks_since_cong, int rtt_ticks, unsigned long wmax,
109     uint32_t smss)
110 {
111 
112 	return ((wmax * 0.5) + ((ticks_since_cong / (float)rtt_ticks) * smss));
113 }
114 
115 static __inline unsigned long
116 theoretical_tf_cwnd(int ticks_since_cong, int rtt_ticks, unsigned long wmax,
117     uint32_t smss)
118 {
119 
120 	return ((wmax * 0.7) + ((3 * 0.3) / (2 - 0.3) *
121 	    (ticks_since_cong / (float)rtt_ticks) * smss));
122 }
123 
124 #endif /* !_KERNEL */
125 
126 /*
127  * Compute the CUBIC K value used in the cwnd calculation, using an
128  * implementation of eqn 2 in the I-D. The method used
129  * here is adapted from Apple Computer Technical Report #KT-32.
130  */
131 static __inline int64_t
132 cubic_k(unsigned long wmax_pkts)
133 {
134 	int64_t s, K;
135 	uint16_t p;
136 
137 	K = s = 0;
138 	p = 0;
139 
140 	/* (wmax * beta)/C with CUBIC_SHIFT worth of precision. */
141 	s = ((wmax_pkts * ONE_SUB_CUBIC_BETA) << CUBIC_SHIFT) / CUBIC_C_FACTOR;
142 
143 	/* Rebase s to be between 1 and 1/8 with a shift of CUBIC_SHIFT. */
144 	while (s >= 256) {
145 		s >>= 3;
146 		p++;
147 	}
148 
149 	/*
150 	 * Some magic constants taken from the Apple TR with appropriate
151 	 * shifts: 275 == 1.072302 << CUBIC_SHIFT, 98 == 0.3812513 <<
152 	 * CUBIC_SHIFT, 120 == 0.46946116 << CUBIC_SHIFT.
153 	 */
154 	K = (((s * 275) >> CUBIC_SHIFT) + 98) -
155 	    (((s * s * 120) >> CUBIC_SHIFT) >> CUBIC_SHIFT);
156 
157 	/* Multiply by 2^p to undo the rebasing of s from above. */
158 	return (K <<= p);
159 }
160 
161 /*
162  * Compute the new cwnd value using an implementation of eqn 1 from the I-D.
163  * Thanks to Kip Macy for help debugging this function.
164  *
165  * XXXLAS: Characterise bounds for overflow.
166  */
167 static __inline unsigned long
168 cubic_cwnd(int ticks_since_cong, unsigned long wmax, uint32_t smss, int64_t K)
169 {
170 	int64_t cwnd;
171 
172 	/* K is in fixed point form with CUBIC_SHIFT worth of precision. */
173 
174 	/* t - K, with CUBIC_SHIFT worth of precision. */
175 	cwnd = ((int64_t)(ticks_since_cong << CUBIC_SHIFT) - (K * hz)) / hz;
176 
177 	/* (t - K)^3, with CUBIC_SHIFT^3 worth of precision. */
178 	cwnd *= (cwnd * cwnd);
179 
180 	/*
181 	 * C(t - K)^3 + wmax
182 	 * The down shift by CUBIC_SHIFT_4 is because cwnd has 4 lots of
183 	 * CUBIC_SHIFT included in the value. 3 from the cubing of cwnd above,
184 	 * and an extra from multiplying through by CUBIC_C_FACTOR.
185 	 */
186 	cwnd = ((cwnd * CUBIC_C_FACTOR * smss) >> CUBIC_SHIFT_4) + wmax;
187 
188 	return ((unsigned long)cwnd);
189 }
190 
191 /*
192  * Compute an approximation of the NewReno cwnd some number of ticks after a
193  * congestion event. RTT should be the average RTT estimate for the path
194  * measured over the previous congestion epoch and wmax is the value of cwnd at
195  * the last congestion event. The "TCP friendly" concept in the CUBIC I-D is
196  * rather tricky to understand and it turns out this function is not required.
197  * It is left here for reference.
198  */
199 static __inline unsigned long
200 reno_cwnd(int ticks_since_cong, int rtt_ticks, unsigned long wmax,
201     uint32_t smss)
202 {
203 
204 	/*
205 	 * For NewReno, beta = 0.5, therefore: W_tcp(t) = wmax*0.5 + t/RTT
206 	 * W_tcp(t) deals with cwnd/wmax in pkts, so because our cwnd is in
207 	 * bytes, we have to multiply by smss.
208 	 */
209 	return (((wmax * RENO_BETA) + (((ticks_since_cong * smss)
210 	    << CUBIC_SHIFT) / rtt_ticks)) >> CUBIC_SHIFT);
211 }
212 
213 /*
214  * Compute an approximation of the "TCP friendly" cwnd some number of ticks
215  * after a congestion event that is designed to yield the same average cwnd as
216  * NewReno while using CUBIC's beta of 0.7. RTT should be the average RTT
217  * estimate for the path measured over the previous congestion epoch and wmax is
218  * the value of cwnd at the last congestion event.
219  */
220 static __inline unsigned long
221 tf_cwnd(int ticks_since_cong, int rtt_ticks, unsigned long wmax,
222     uint32_t smss)
223 {
224 
225 	/* Equation 4 of I-D. */
226 	return (((wmax * CUBIC_BETA) + (((THREE_X_PT3 * ticks_since_cong *
227 	    smss) << CUBIC_SHIFT) / TWO_SUB_PT3 / rtt_ticks)) >> CUBIC_SHIFT);
228 }
229 
230 #endif /* _NETINET_CC_CUBIC_H_ */
231