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// Copyright 2020 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
package runtime
import (
"runtime/internal/atomic"
"runtime/internal/sys"
"unsafe"
)
const (
// For the time histogram type, we use an HDR histogram.
// Values are placed in buckets based solely on the most
// significant set bit. Thus, buckets are power-of-2 sized.
// Values are then placed into sub-buckets based on the value of
// the next timeHistSubBucketBits most significant bits. Thus,
// sub-buckets are linear within a bucket.
//
// Therefore, the number of sub-buckets (timeHistNumSubBuckets)
// defines the error. This error may be computed as
// 1/timeHistNumSubBuckets*100%. For example, for 16 sub-buckets
// per bucket the error is approximately 6%.
//
// The number of buckets (timeHistNumBuckets), on the
// other hand, defines the range. To avoid producing a large number
// of buckets that are close together, especially for small numbers
// (e.g. 1, 2, 3, 4, 5 ns) that aren't very useful, timeHistNumBuckets
// is defined in terms of the least significant bit (timeHistMinBucketBits)
// that needs to be set before we start bucketing and the most
// significant bit (timeHistMaxBucketBits) that we bucket before we just
// dump it into a catch-all bucket.
//
// As an example, consider the configuration:
//
// timeHistMinBucketBits = 9
// timeHistMaxBucketBits = 48
// timeHistSubBucketBits = 2
//
// Then:
//
// 011000001
// ^--
// │ ^
// │ └---- Next 2 bits -> sub-bucket 3
// └------- Bit 9 unset -> bucket 0
//
// 110000001
// ^--
// │ ^
// │ └---- Next 2 bits -> sub-bucket 2
// └------- Bit 9 set -> bucket 1
//
// 1000000010
// ^-- ^
// │ ^ └-- Lower bits ignored
// │ └---- Next 2 bits -> sub-bucket 0
// └------- Bit 10 set -> bucket 2
//
// Following this pattern, bucket 38 will have the bit 46 set. We don't
// have any buckets for higher values, so we spill the rest into an overflow
// bucket containing values of 2^47-1 nanoseconds or approx. 1 day or more.
// This range is more than enough to handle durations produced by the runtime.
timeHistMinBucketBits = 9
timeHistMaxBucketBits = 48 // Note that this is exclusive; 1 higher than the actual range.
timeHistSubBucketBits = 2
timeHistNumSubBuckets = 1 << timeHistSubBucketBits
timeHistNumBuckets = timeHistMaxBucketBits - timeHistMinBucketBits + 1
// Two extra buckets, one for underflow, one for overflow.
timeHistTotalBuckets = timeHistNumBuckets*timeHistNumSubBuckets + 2
)
// timeHistogram represents a distribution of durations in
// nanoseconds.
//
// The accuracy and range of the histogram is defined by the
// timeHistSubBucketBits and timeHistNumBuckets constants.
//
// It is an HDR histogram with exponentially-distributed
// buckets and linearly distributed sub-buckets.
//
// The histogram is safe for concurrent reads and writes.
type timeHistogram struct {
counts [timeHistNumBuckets * timeHistNumSubBuckets]atomic.Uint64
// underflow counts all the times we got a negative duration
// sample. Because of how time works on some platforms, it's
// possible to measure negative durations. We could ignore them,
// but we record them anyway because it's better to have some
// signal that it's happening than just missing samples.
underflow atomic.Uint64
// overflow counts all the times we got a duration that exceeded
// the range counts represents.
overflow atomic.Uint64
}
// record adds the given duration to the distribution.
//
// Disallow preemptions and stack growths because this function
// may run in sensitive locations.
//
//go:nosplit
func (h *timeHistogram) record(duration int64) {
// If the duration is negative, capture that in underflow.
if duration < 0 {
h.underflow.Add(1)
return
}
// bucketBit is the target bit for the bucket which is usually the
// highest 1 bit, but if we're less than the minimum, is the highest
// 1 bit of the minimum (which will be zero in the duration).
//
// bucket is the bucket index, which is the bucketBit minus the
// highest bit of the minimum, plus one to leave room for the catch-all
// bucket for samples lower than the minimum.
var bucketBit, bucket uint
if l := sys.Len64(uint64(duration)); l < timeHistMinBucketBits {
bucketBit = timeHistMinBucketBits
bucket = 0 // bucketBit - timeHistMinBucketBits
} else {
bucketBit = uint(l)
bucket = bucketBit - timeHistMinBucketBits + 1
}
// If the bucket we computed is greater than the number of buckets,
// count that in overflow.
if bucket >= timeHistNumBuckets {
h.overflow.Add(1)
return
}
// The sub-bucket index is just next timeHistSubBucketBits after the bucketBit.
subBucket := uint(duration>>(bucketBit-1-timeHistSubBucketBits)) % timeHistNumSubBuckets
h.counts[bucket*timeHistNumSubBuckets+subBucket].Add(1)
}
const (
fInf = 0x7FF0000000000000
fNegInf = 0xFFF0000000000000
)
func float64Inf() float64 {
inf := uint64(fInf)
return *(*float64)(unsafe.Pointer(&inf))
}
func float64NegInf() float64 {
inf := uint64(fNegInf)
return *(*float64)(unsafe.Pointer(&inf))
}
// timeHistogramMetricsBuckets generates a slice of boundaries for
// the timeHistogram. These boundaries are represented in seconds,
// not nanoseconds like the timeHistogram represents durations.
func timeHistogramMetricsBuckets() []float64 {
b := make([]float64, timeHistTotalBuckets+1)
// Underflow bucket.
b[0] = float64NegInf()
for j := 0; j < timeHistNumSubBuckets; j++ {
// No bucket bit for the first few buckets. Just sub-bucket bits after the
// min bucket bit.
bucketNanos := uint64(j) << (timeHistMinBucketBits - 1 - timeHistSubBucketBits)
// Convert nanoseconds to seconds via a division.
// These values will all be exactly representable by a float64.
b[j+1] = float64(bucketNanos) / 1e9
}
// Generate the rest of the buckets. It's easier to reason
// about if we cut out the 0'th bucket.
for i := timeHistMinBucketBits; i < timeHistMaxBucketBits; i++ {
for j := 0; j < timeHistNumSubBuckets; j++ {
// Set the bucket bit.
bucketNanos := uint64(1) << (i - 1)
// Set the sub-bucket bits.
bucketNanos |= uint64(j) << (i - 1 - timeHistSubBucketBits)
// The index for this bucket is going to be the (i+1)'th bucket
// (note that we're starting from zero, but handled the first bucket
// earlier, so we need to compensate), and the j'th sub bucket.
// Add 1 because we left space for -Inf.
bucketIndex := (i-timeHistMinBucketBits+1)*timeHistNumSubBuckets + j + 1
// Convert nanoseconds to seconds via a division.
// These values will all be exactly representable by a float64.
b[bucketIndex] = float64(bucketNanos) / 1e9
}
}
// Overflow bucket.
b[len(b)-2] = float64(uint64(1)<<(timeHistMaxBucketBits-1)) / 1e9
b[len(b)-1] = float64Inf()
return b
}
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