| 1 | |
| 2 | |
| 3 | * Floating proportions with flexible aging period
|
| 4 | *
|
| 5 | * Copyright (C) 2011, SUSE, Jan Kara <[email protected]>
|
| 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 |
|
| 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 | unsigned long flags;
|
| 68 |
|
| 69 | |
| 70 | * Don't do anything if there are no events.
|
| 71 |
|
| 72 | if (events <= 1)
|
| 73 | return false;
|
| 74 | local_irq_save(flags);
|
| 75 | write_seqcount_begin(&p->sequence);
|
| 76 | if (periods < 64)
|
| 77 | events -= events >> periods;
|
| 78 |
|
| 79 | percpu_counter_add(&p->events, -events);
|
| 80 | p->period += periods;
|
| 81 | write_seqcount_end(&p->sequence);
|
| 82 | local_irq_restore(flags);
|
| 83 |
|
| 84 | return true;
|
| 85 | }
|
| 86 |
|
| 87 | |
| 88 | * ---- PERCPU ----
|
| 89 |
|
| 90 | #define PROP_BATCH (8*(1+ilog2(nr_cpu_ids)))
|
| 91 |
|
| 92 | int fprop_local_init_percpu(struct fprop_local_percpu *pl, gfp_t gfp)
|
| 93 | {
|
| 94 | int err;
|
| 95 |
|
| 96 | err = percpu_counter_init(&pl->events, 0, gfp);
|
| 97 | if (err)
|
| 98 | return err;
|
| 99 | pl->period = 0;
|
| 100 | raw_spin_lock_init(&pl->lock);
|
| 101 | return 0;
|
| 102 | }
|
| 103 |
|
| 104 | void fprop_local_destroy_percpu(struct fprop_local_percpu *pl)
|
| 105 | {
|
| 106 | percpu_counter_destroy(&pl->events);
|
| 107 | }
|
| 108 |
|
| 109 | static void fprop_reflect_period_percpu(struct fprop_global *p,
|
| 110 | struct fprop_local_percpu *pl)
|
| 111 | {
|
| 112 | unsigned int period = p->period;
|
| 113 | unsigned long flags;
|
| 114 |
|
| 115 |
|
| 116 | if (pl->period == period)
|
| 117 | return;
|
| 118 | raw_spin_lock_irqsave(&pl->lock, flags);
|
| 119 |
|
| 120 | if (pl->period >= period) {
|
| 121 | raw_spin_unlock_irqrestore(&pl->lock, flags);
|
| 122 | return;
|
| 123 | }
|
| 124 |
|
| 125 | if (period - pl->period < BITS_PER_LONG) {
|
| 126 | s64 val = percpu_counter_read(&pl->events);
|
| 127 |
|
| 128 | if (val < (nr_cpu_ids * PROP_BATCH))
|
| 129 | val = percpu_counter_sum(&pl->events);
|
| 130 |
|
| 131 | percpu_counter_add_batch(&pl->events,
|
| 132 | -val + (val >> (period-pl->period)), PROP_BATCH);
|
| 133 | } else
|
| 134 | percpu_counter_set(&pl->events, 0);
|
| 135 | pl->period = period;
|
| 136 | raw_spin_unlock_irqrestore(&pl->lock, flags);
|
| 137 | }
|
| 138 |
|
| 139 |
|
| 140 | void __fprop_add_percpu(struct fprop_global *p, struct fprop_local_percpu *pl,
|
| 141 | long nr)
|
| 142 | {
|
| 143 | fprop_reflect_period_percpu(p, pl);
|
| 144 | percpu_counter_add_batch(&pl->events, nr, PROP_BATCH);
|
| 145 | percpu_counter_add(&p->events, nr);
|
| 146 | }
|
| 147 |
|
| 148 | void fprop_fraction_percpu(struct fprop_global *p,
|
| 149 | struct fprop_local_percpu *pl,
|
| 150 | unsigned long *numerator, unsigned long *denominator)
|
| 151 | {
|
| 152 | unsigned int seq;
|
| 153 | s64 num, den;
|
| 154 |
|
| 155 | do {
|
| 156 | seq = read_seqcount_begin(&p->sequence);
|
| 157 | fprop_reflect_period_percpu(p, pl);
|
| 158 | num = percpu_counter_read_positive(&pl->events);
|
| 159 | den = percpu_counter_read_positive(&p->events);
|
| 160 | } while (read_seqcount_retry(&p->sequence, seq));
|
| 161 |
|
| 162 | |
| 163 | * Make fraction <= 1 and denominator > 0 even in presence of percpu
|
| 164 | * counter errors
|
| 165 |
|
| 166 | if (den <= num) {
|
| 167 | if (num)
|
| 168 | den = num;
|
| 169 | else
|
| 170 | den = 1;
|
| 171 | }
|
| 172 | *denominator = den;
|
| 173 | *numerator = num;
|
| 174 | }
|
| 175 |
|
| 176 | |
| 177 | * Like __fprop_add_percpu() except that event is counted only if the given
|
| 178 | * type has fraction smaller than @max_frac/FPROP_FRAC_BASE
|
| 179 |
|
| 180 | void __fprop_add_percpu_max(struct fprop_global *p,
|
| 181 | struct fprop_local_percpu *pl, int max_frac, long nr)
|
| 182 | {
|
| 183 | if (unlikely(max_frac < FPROP_FRAC_BASE)) {
|
| 184 | unsigned long numerator, denominator;
|
| 185 | s64 tmp;
|
| 186 |
|
| 187 | fprop_fraction_percpu(p, pl, &numerator, &denominator);
|
| 188 |
|
| 189 | tmp = (u64)denominator * max_frac -
|
| 190 | ((u64)numerator << FPROP_FRAC_SHIFT);
|
| 191 | if (tmp < 0) {
|
| 192 |
|
| 193 | return;
|
| 194 | } else if (tmp < nr * (FPROP_FRAC_BASE - max_frac)) {
|
| 195 |
|
| 196 | nr = div_u64(tmp + FPROP_FRAC_BASE - max_frac - 1,
|
| 197 | FPROP_FRAC_BASE - max_frac);
|
| 198 | }
|
| 199 | }
|
| 200 |
|
| 201 | __fprop_add_percpu(p, pl, nr);
|
| 202 | }
|