xref: /illumos-gate/usr/src/uts/common/inet/cc/cc_cubic.h (revision 814dcd43c3de9925fd6226c256e4d4327841a0e1)
1 /*
2  * Copyright (c) 2008-2010 Lawrence Stewart <lstewart@freebsd.org>
3  * Copyright (c) 2010 The FreeBSD Foundation
4  * All rights reserved.
5  * Copyright (c) 2017 by Delphix. All rights reserved.
6  * Copyright 2019 Joyent, Inc.
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 /* ~0.8 << CUBIC_SHIFT. */
53 #define	CUBIC_BETA		204
54 
55 /* ~0.2 << CUBIC_SHIFT. */
56 #define	ONE_SUB_CUBIC_BETA	51
57 
58 /* 3 * ONE_SUB_CUBIC_BETA. */
59 #define	THREE_X_PT2		153
60 
61 /* (2 << CUBIC_SHIFT) - ONE_SUB_CUBIC_BETA. */
62 #define	TWO_SUB_PT2		461
63 
64 /* ~0.4 << CUBIC_SHIFT. */
65 #define	CUBIC_C_FACTOR		102
66 
67 /* CUBIC fast convergence factor: ~0.9 << CUBIC_SHIFT. */
68 #define	CUBIC_FC_FACTOR		230
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-rhee-tcpm-cubic-02".
81  *
82  * Note BETA used in cc_cubic is equal to (1-beta) in the I-D
83  */
84 
85 static __inline float
86 theoretical_cubic_k(double wmax_pkts)
87 {
88 	double C;
89 
90 	C = 0.4;
91 
92 	return (pow((wmax_pkts * 0.2) / C, (1.0 / 3.0)) * pow(2, CUBIC_SHIFT));
93 }
94 
95 static __inline uint32_t
96 theoretical_cubic_cwnd(int ticks_since_cong, uint32_t wmax, uint32_t smss)
97 {
98 	double C, wmax_pkts;
99 
100 	C = 0.4;
101 	wmax_pkts = wmax / (double)smss;
102 
103 	return (smss * (wmax_pkts +
104 	    (C * pow(ticks_since_cong / (double)hz -
105 	    theoretical_cubic_k(wmax_pkts) / pow(2, CUBIC_SHIFT), 3.0))));
106 }
107 
108 static __inline uint32_t
109 theoretical_reno_cwnd(int ticks_since_cong, int rtt_ticks, uint32_t wmax,
110     uint32_t smss)
111 {
112 
113 	return ((wmax * 0.5) + ((ticks_since_cong / (float)rtt_ticks) * smss));
114 }
115 
116 static __inline uint32_t
117 theoretical_tf_cwnd(int ticks_since_cong, int rtt_ticks, unsigned long wmax,
118     uint32_t smss)
119 {
120 
121 	return ((wmax * 0.8) + ((3 * 0.2) / (2 - 0.2) *
122 	    (ticks_since_cong / (float)rtt_ticks) * smss));
123 }
124 
125 #endif /* !_KERNEL */
126 
127 /*
128  * Compute the CUBIC K value used in the cwnd calculation, using an
129  * implementation of eqn 2 in the I-D. The method used
130  * here is adapted from Apple Computer Technical Report #KT-32.
131  */
132 static __inline int64_t
133 cubic_k(uint32_t wmax_pkts)
134 {
135 	int64_t s, K;
136 	uint16_t p;
137 
138 	K = s = 0;
139 	p = 0;
140 
141 	/* (wmax * beta)/C with CUBIC_SHIFT worth of precision. */
142 	s = ((wmax_pkts * ONE_SUB_CUBIC_BETA) << CUBIC_SHIFT) / CUBIC_C_FACTOR;
143 
144 	/* Rebase s to be between 1 and 1/8 with a shift of CUBIC_SHIFT. */
145 	while (s >= 256) {
146 		s >>= 3;
147 		p++;
148 	}
149 
150 	/*
151 	 * Some magic constants taken from the Apple TR with appropriate
152 	 * shifts: 275 == 1.072302 << CUBIC_SHIFT, 98 == 0.3812513 <<
153 	 * CUBIC_SHIFT, 120 == 0.46946116 << CUBIC_SHIFT.
154 	 */
155 	K = (((s * 275) >> CUBIC_SHIFT) + 98) -
156 	    (((s * s * 120) >> CUBIC_SHIFT) >> CUBIC_SHIFT);
157 
158 	/* Multiply by 2^p to undo the rebasing of s from above. */
159 	return (K <<= p);
160 }
161 
162 /*
163  * Compute the new cwnd value using an implementation of eqn 1 from the I-D.
164  * Thanks to Kip Macy for help debugging this function.
165  *
166  * XXXLAS: Characterise bounds for overflow.
167  */
168 static __inline uint32_t
169 cubic_cwnd(hrtime_t nsecs_since_cong, uint32_t wmax, uint32_t smss, int64_t K)
170 {
171 	int64_t t, cwnd;
172 
173 	/*
174 	 * Convert nsecs_since_cong to milliseconds, with CUBIC_SHIFT worth
175 	 * of precision.
176 	 */
177 	t = NSEC2MSEC(nsecs_since_cong << CUBIC_SHIFT);
178 
179 	/*
180 	 * K is the time period in seconds that it will take to reach wmax. The
181 	 * value is kept in fixed point form with CUBIC_SHIFT worth of
182 	 * precision.
183 	 *
184 	 * For comparison with t, we convert K to milliseconds, and then convert
185 	 * the result back to seconds.
186 	 *
187 	 * cwnd = t - K, with CUBIC_SHIFT worth of precision.
188 	 */
189 	cwnd = (t - K * MILLISEC) / MILLISEC;
190 
191 	/* cwnd = (t - K)^3, with CUBIC_SHIFT^3 worth of precision. */
192 	cwnd *= (cwnd * cwnd);
193 
194 	/*
195 	 * C(t - K)^3 + wmax
196 	 * The down shift by CUBIC_SHIFT_4 is because cwnd has 4 lots of
197 	 * CUBIC_SHIFT included in the value. 3 from the cubing of cwnd above,
198 	 * and an extra from multiplying through by CUBIC_C_FACTOR.
199 	 */
200 	cwnd = ((cwnd * CUBIC_C_FACTOR * smss) >> CUBIC_SHIFT_4) + wmax;
201 
202 	return ((uint32_t)cwnd);
203 }
204 
205 /*
206  * Compute an approximation of the "TCP friendly" cwnd some number of
207  * nanoseconds after a congestion event that is designed to yield the same
208  * average cwnd as NewReno while using CUBIC's beta of 0.8. RTT should be the
209  * average RTT estimate for the path measured over the previous congestion
210  * epoch and wmax is the value of cwnd at the last congestion event.
211  */
212 static __inline uint32_t
213 tf_cwnd(hrtime_t nsecs_since_cong, hrtime_t rtt_nsecs, uint32_t wmax,
214     uint32_t smss)
215 {
216 
217 	/* Equation 4 of I-D. */
218 	return (((wmax * CUBIC_BETA) + (((THREE_X_PT2 * nsecs_since_cong *
219 	    smss) << CUBIC_SHIFT) / TWO_SUB_PT2 / rtt_nsecs)) >> CUBIC_SHIFT);
220 }
221 
222 #endif /* _NETINET_CC_CUBIC_H_ */
223