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Linux/lib/flex_proportions.c

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  1 // SPDX-License-Identifier: GPL-2.0
  2 /*
  3  *  Floating proportions with flexible aging period
  4  *
  5  *   Copyright (C) 2011, SUSE, Jan Kara <jack@suse.cz>
  6  *
  7  * The goal of this code is: Given different types of event, measure proportion
  8  * of each type of event over time. The proportions are measured with
  9  * exponentially decaying history to give smooth transitions. A formula
 10  * expressing proportion of event of type 'j' is:
 11  *
 12  *   p_{j} = (\Sum_{i>=0} x_{i,j}/2^{i+1})/(\Sum_{i>=0} x_i/2^{i+1})
 13  *
 14  * Where x_{i,j} is j's number of events in i-th last time period and x_i is
 15  * total number of events in i-th last time period.
 16  *
 17  * Note that p_{j}'s are normalised, i.e.
 18  *
 19  *   \Sum_{j} p_{j} = 1,
 20  *
 21  * This formula can be straightforwardly computed by maintaining denominator
 22  * (let's call it 'd') and for each event type its numerator (let's call it
 23  * 'n_j'). When an event of type 'j' happens, we simply need to do:
 24  *   n_j++; d++;
 25  *
 26  * When a new period is declared, we could do:
 27  *   d /= 2
 28  *   for each j
 29  *     n_j /= 2
 30  *
 31  * To avoid iteration over all event types, we instead shift numerator of event
 32  * j lazily when someone asks for a proportion of event j or when event j
 33  * occurs. This can bit trivially implemented by remembering last period in
 34  * which something happened with proportion of type j.
 35  */
 36 #include <linux/flex_proportions.h>
 37 
 38 int fprop_global_init(struct fprop_global *p, gfp_t gfp)
 39 {
 40         int err;
 41 
 42         p->period = 0;
 43         /* Use 1 to avoid dealing with periods with 0 events... */
 44         err = percpu_counter_init(&p->events, 1, gfp);
 45         if (err)
 46                 return err;
 47         seqcount_init(&p->sequence);
 48         return 0;
 49 }
 50 
 51 void fprop_global_destroy(struct fprop_global *p)
 52 {
 53         percpu_counter_destroy(&p->events);
 54 }
 55 
 56 /*
 57  * Declare @periods new periods. It is upto the caller to make sure period
 58  * transitions cannot happen in parallel.
 59  *
 60  * The function returns true if the proportions are still defined and false
 61  * if aging zeroed out all events. This can be used to detect whether declaring
 62  * further periods has any effect.
 63  */
 64 bool fprop_new_period(struct fprop_global *p, int periods)
 65 {
 66         s64 events = percpu_counter_sum(&p->events);
 67 
 68         /*
 69          * Don't do anything if there are no events.
 70          */
 71         if (events <= 1)
 72                 return false;
 73         preempt_disable_nested();
 74         write_seqcount_begin(&p->sequence);
 75         if (periods < 64)
 76                 events -= events >> periods;
 77         /* Use addition to avoid losing events happening between sum and set */
 78         percpu_counter_add(&p->events, -events);
 79         p->period += periods;
 80         write_seqcount_end(&p->sequence);
 81         preempt_enable_nested();
 82 
 83         return true;
 84 }
 85 
 86 /*
 87  * ---- PERCPU ----
 88  */
 89 #define PROP_BATCH (8*(1+ilog2(nr_cpu_ids)))
 90 
 91 int fprop_local_init_percpu(struct fprop_local_percpu *pl, gfp_t gfp)
 92 {
 93         int err;
 94 
 95         err = percpu_counter_init(&pl->events, 0, gfp);
 96         if (err)
 97                 return err;
 98         pl->period = 0;
 99         raw_spin_lock_init(&pl->lock);
100         return 0;
101 }
102 
103 void fprop_local_destroy_percpu(struct fprop_local_percpu *pl)
104 {
105         percpu_counter_destroy(&pl->events);
106 }
107 
108 static void fprop_reflect_period_percpu(struct fprop_global *p,
109                                         struct fprop_local_percpu *pl)
110 {
111         unsigned int period = p->period;
112         unsigned long flags;
113 
114         /* Fast path - period didn't change */
115         if (pl->period == period)
116                 return;
117         raw_spin_lock_irqsave(&pl->lock, flags);
118         /* Someone updated pl->period while we were spinning? */
119         if (pl->period >= period) {
120                 raw_spin_unlock_irqrestore(&pl->lock, flags);
121                 return;
122         }
123         /* Aging zeroed our fraction? */
124         if (period - pl->period < BITS_PER_LONG) {
125                 s64 val = percpu_counter_read(&pl->events);
126 
127                 if (val < (nr_cpu_ids * PROP_BATCH))
128                         val = percpu_counter_sum(&pl->events);
129 
130                 percpu_counter_add_batch(&pl->events,
131                         -val + (val >> (period-pl->period)), PROP_BATCH);
132         } else
133                 percpu_counter_set(&pl->events, 0);
134         pl->period = period;
135         raw_spin_unlock_irqrestore(&pl->lock, flags);
136 }
137 
138 /* Event of type pl happened */
139 void __fprop_add_percpu(struct fprop_global *p, struct fprop_local_percpu *pl,
140                 long nr)
141 {
142         fprop_reflect_period_percpu(p, pl);
143         percpu_counter_add_batch(&pl->events, nr, PROP_BATCH);
144         percpu_counter_add(&p->events, nr);
145 }
146 
147 void fprop_fraction_percpu(struct fprop_global *p,
148                            struct fprop_local_percpu *pl,
149                            unsigned long *numerator, unsigned long *denominator)
150 {
151         unsigned int seq;
152         s64 num, den;
153 
154         do {
155                 seq = read_seqcount_begin(&p->sequence);
156                 fprop_reflect_period_percpu(p, pl);
157                 num = percpu_counter_read_positive(&pl->events);
158                 den = percpu_counter_read_positive(&p->events);
159         } while (read_seqcount_retry(&p->sequence, seq));
160 
161         /*
162          * Make fraction <= 1 and denominator > 0 even in presence of percpu
163          * counter errors
164          */
165         if (den <= num) {
166                 if (num)
167                         den = num;
168                 else
169                         den = 1;
170         }
171         *denominator = den;
172         *numerator = num;
173 }
174 
175 /*
176  * Like __fprop_add_percpu() except that event is counted only if the given
177  * type has fraction smaller than @max_frac/FPROP_FRAC_BASE
178  */
179 void __fprop_add_percpu_max(struct fprop_global *p,
180                 struct fprop_local_percpu *pl, int max_frac, long nr)
181 {
182         if (unlikely(max_frac < FPROP_FRAC_BASE)) {
183                 unsigned long numerator, denominator;
184                 s64 tmp;
185 
186                 fprop_fraction_percpu(p, pl, &numerator, &denominator);
187                 /* Adding 'nr' to fraction exceeds max_frac/FPROP_FRAC_BASE? */
188                 tmp = (u64)denominator * max_frac -
189                                         ((u64)numerator << FPROP_FRAC_SHIFT);
190                 if (tmp < 0) {
191                         /* Maximum fraction already exceeded? */
192                         return;
193                 } else if (tmp < nr * (FPROP_FRAC_BASE - max_frac)) {
194                         /* Add just enough for the fraction to saturate */
195                         nr = div_u64(tmp + FPROP_FRAC_BASE - max_frac - 1,
196                                         FPROP_FRAC_BASE - max_frac);
197                 }
198         }
199 
200         __fprop_add_percpu(p, pl, nr);
201 }
202 

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