@@ -5,7 +5,6 @@ const AGENT_DEFAULT_EPS: f64 = 1.0 / 128.0;
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const AGENT_DEFAULT_MIN_VALUE : f64 = 1.0e-9 ;
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const UV_INF : i16 = i16:: MAX ;
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- const MAX_KEY : i16 = UV_INF - 1 ;
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const POS_INF_KEY : i16 = UV_INF ;
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const INITIAL_BINS : u16 = 128 ;
@@ -40,12 +39,6 @@ fn lower_bound(gamma_v: f64, bias: i32, k: i16) -> f64 {
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struct Config {
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bin_limit : u16 ,
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- // relative accuracy as percentage of the true value i.e. 0.01 means that for true quantile value `x`, we
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- // should return an estimated quantile value `y` where `x*0.99 <= y <= x*1.01`
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- //
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- // in practical terms, if the true value at a given quantile was 10, and relative accuracy is
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- // 0.01, we should return a value for that quantile between 9.9 and 10.1
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- relative_accuracy : f64 ,
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// gamma_ln is the natural log of gamma_v, used to speed up calculating log base gamma.
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gamma_v : f64 ,
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gamma_ln : f64 ,
@@ -58,8 +51,6 @@ struct Config {
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// +Inf : x > max
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// -Inf : x < -max.
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norm_min : f64 ,
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- norm_max : f64 ,
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- norm_emin : i32 ,
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// Bias of the exponent, used to ensure key(x) >= 1.
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norm_bias : i32 ,
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}
@@ -70,7 +61,6 @@ impl Config {
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assert ! ( min_value > 0.0 , "min value must be greater than 0.0" ) ;
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assert ! ( bin_limit > 0 , "bin limit must be greater than 0" ) ;
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- let relative_accuracy = eps;
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eps *= 2.0 ;
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let gamma_v = 1.0 + eps;
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let gamma_ln = eps. ln_1p ( ) ;
@@ -79,7 +69,6 @@ impl Config {
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let norm_bias = -norm_emin + 1 ;
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let norm_min = lower_bound ( gamma_v, norm_bias, 1 ) ;
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- let norm_max = lower_bound ( gamma_v, norm_bias, MAX_KEY ) ;
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assert ! (
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norm_min <= min_value,
@@ -88,35 +77,13 @@ impl Config {
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Self {
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bin_limit,
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- relative_accuracy,
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gamma_v,
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gamma_ln,
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- norm_emin,
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norm_bias,
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norm_min,
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- norm_max,
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}
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}
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- /// Gets the maximum number of samples that can be inserted to a sketch using this configuration.
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- pub fn max_count ( & self ) -> u32 {
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- // This is limited by using a uint16 for bin.n, and by our usage of u32 for tracking the
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- // overall sample count in a given sketch.
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- self . bin_limit as u32 * u16:: max_value ( ) as u32
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- }
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-
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- pub fn relative_accuracy ( & self ) -> f64 {
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- self . relative_accuracy
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- }
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-
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- pub fn min_value ( & self ) -> f64 {
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- self . norm_min
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- }
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-
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- pub fn max_value ( & self ) -> f64 {
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- self . norm_max
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- }
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-
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/// Gets the value lower bound of the bin at the given key.
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pub fn bin_lower_bound ( & self , k : i16 ) -> f64 {
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if k < 0 {
@@ -212,8 +179,8 @@ impl AgentDDSketch {
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config,
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bins : Vec :: with_capacity ( initial_bins) ,
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count : 0 ,
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- min : f64:: INFINITY ,
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- max : f64:: NEG_INFINITY ,
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+ min : f64:: MAX ,
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+ max : f64:: MIN ,
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sum : 0.0 ,
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avg : 0.0 ,
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}
@@ -227,7 +194,13 @@ impl AgentDDSketch {
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self . bins . len ( )
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}
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- fn count ( & self ) -> u32 {
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+ /// Whether or not this sketch is empty.
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+ pub fn is_empty ( & self ) -> bool {
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+ self . count == 0
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+ }
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+
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+ /// Number of samples currently represented by this sketch.
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+ pub fn count ( & self ) -> u32 {
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self . count
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}
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@@ -447,6 +420,7 @@ impl AgentDDSketch {
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}
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let mut n = 0.0 ;
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+ let mut estimated = None ;
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let wanted_rank = rank ( self . count , q) ;
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for ( i, bin) in self . bins . iter ( ) . enumerate ( ) {
@@ -465,11 +439,13 @@ impl AgentDDSketch {
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v_low = self . min ;
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}
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- return Some ( v_low * weight + v_high * ( 1.0 - weight) ) ;
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+ estimated = Some ( v_low * weight + v_high * ( 1.0 - weight) ) ;
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+ break ;
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}
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- // We should never get here.
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- Some ( f64:: NAN )
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+ estimated
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+ . map ( |v| v. clamp ( self . min , self . max ) )
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+ . or ( Some ( f64:: NAN ) )
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}
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pub fn merge ( & mut self , other : AgentDDSketch ) {
@@ -679,18 +655,16 @@ fn round_to_even(v: f64) -> f64 {
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#[ cfg( test) ]
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mod tests {
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- use ndarray:: { Array , Axis } ;
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- use ndarray_stats:: { interpolate:: Linear , QuantileExt } ;
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- use noisy_float:: prelude:: N64 ;
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- use ordered_float:: OrderedFloat ;
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- use rand:: thread_rng;
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- use rand_distr:: { Distribution , Pareto } ;
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-
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- use super :: { round_to_even, AgentDDSketch , Config } ;
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+ use super :: { round_to_even, AgentDDSketch , Config , AGENT_DEFAULT_EPS } ;
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const FLOATING_POINT_ACCEPTABLE_ERROR : f64 = 1.0e-10 ;
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+ #[ cfg( ddsketch_extended) ]
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fn generate_pareto_distribution ( ) -> Vec < OrderedFloat < f64 > > {
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+ use ordered_float:: OrderedFloat ;
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+ use rand:: thread_rng;
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+ use rand_distr:: { Distribution , Pareto } ;
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+
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// Generate a set of samples that roughly correspond to the latency of a typical web
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// service, in microseconds, with a gamma distribution: big hump at the beginning with a
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// long tail. We limit this so the samples represent latencies that bottom out at 15
@@ -713,15 +687,54 @@ mod tests {
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}
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#[ test]
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+ fn test_ddsketch_neg_to_pos ( ) {
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+ // This gives us 10k values because otherwise this test runs really slow in debug mode.
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+ let start = -1.0 ;
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+ let end = 1.0 ;
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+ let delta = 0.0002 ;
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+
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+ let mut sketch = AgentDDSketch :: with_agent_defaults ( ) ;
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+
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+ let mut v = start;
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+ while v <= end {
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+ sketch. insert ( v) ;
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+
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+ v += delta;
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+ }
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+
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+ let min = sketch. quantile ( 0.0 ) . expect ( "should have value" ) ;
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+ let median = sketch. quantile ( 0.5 ) . expect ( "should have value" ) ;
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+ let max = sketch. quantile ( 1.0 ) . expect ( "should have value" ) ;
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+
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+ assert_eq ! ( start, min) ;
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+ assert ! ( median. abs( ) < FLOATING_POINT_ACCEPTABLE_ERROR ) ;
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+ assert ! ( ( end - max) . abs( ) < FLOATING_POINT_ACCEPTABLE_ERROR ) ;
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+ }
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+
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+ #[ test]
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+ #[ cfg( ddsketch_extended) ]
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fn test_ddsketch_pareto_distribution ( ) {
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- // This is a known sample set, generated by `generate_pareto_distribution`, that we can use
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- // to test against other DDSketch implementations to verify the accuracy of ours.
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+ use ndarray:: { Array , Axis } ;
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+ use ndarray_stats:: { interpolate:: Midpoint , QuantileExt } ;
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+ use noisy_float:: prelude:: N64 ;
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+
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+ // NOTE: This test unexpectedly fails to meet the relative accuracy guarantees when checking
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+ // the samples against quantiles pulled via `ndarray_stats`. When feeding the same samples
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+ // to the actual DDSketch implementation in datadog-agent, we get identical results at each
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+ // quantile. This doesn't make a huge amount of sense to me, since we have a unit test that
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+ // verifies the relative accuracy of the configuration itself, which should only fail to be
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+ // met if we hit the bin limit and bins have to be collapsed.
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+ //
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+ // We're keeping it here as a reminder of the seemingly practical difference in accuracy
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+ // vs deriving the quantiles of the sample sets directly.
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+
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+ // We generate a straightforward Pareto distribution to simulate web request latencies.
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let samples = generate_pareto_distribution ( ) ;
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// Prepare our data for querying.
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let mut sketch = AgentDDSketch :: with_agent_defaults ( ) ;
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- let relative_accuracy = sketch . config ( ) . relative_accuracy ( ) ;
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+ let relative_accuracy = AGENT_DEFAULT_EPS ;
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for sample in & samples {
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sketch. insert ( sample. into_inner ( ) ) ;
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}
@@ -732,21 +745,21 @@ mod tests {
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//
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// TODO: what's a reasonable quantile to start from? from testing the actual agent code, it
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// seems like <p50 is gonna be rough no matter what, which I think is expected but also not great?
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- for p in 50 ..=100 {
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+ for p in 1 ..=100 {
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let q = p as f64 / 100.0 ;
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let x = sketch. quantile ( q) ;
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assert ! ( x. is_some( ) ) ;
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let estimated = x. unwrap ( ) ;
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let actual = array
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- . quantile_axis_mut ( Axis ( 0 ) , N64 :: unchecked_new ( q) , & Linear )
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+ . quantile_axis_mut ( Axis ( 0 ) , N64 :: unchecked_new ( q) , & Midpoint )
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. expect ( "quantile should be in range" )
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. get ( ( ) )
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. expect ( "quantile value should be present" )
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. clone ( )
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. into_inner ( ) ;
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- let err = ( estimated - actual) . abs ( ) / actual;
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+ let _err = ( estimated - actual) . abs ( ) / actual;
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assert ! ( err <= relative_accuracy,
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"relative accuracy out of bounds: q={}, estimate={}, actual={}, target-rel-acc={}, actual-rel-acc={}, bin-count={}" ,
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q, estimated, actual, relative_accuracy, err, sketch. bin_count( ) ) ;
@@ -767,7 +780,7 @@ mod tests {
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let min_value = 1.0 ;
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let max_value = config. gamma_v . powf ( 5.0 ) as f32 ;
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- test_relative_accuracy ( config, min_value, max_value)
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+ test_relative_accuracy ( config, AGENT_DEFAULT_EPS , min_value, max_value)
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}
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#[ test]
@@ -788,11 +801,10 @@ mod tests {
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let min_value = 1.0e-6 ;
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let max_value = i64:: MAX as f32 ;
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- test_relative_accuracy ( config, min_value, max_value)
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+ test_relative_accuracy ( config, AGENT_DEFAULT_EPS , min_value, max_value)
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}
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- fn test_relative_accuracy ( config : Config , min_value : f32 , max_value : f32 ) {
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- let rel_acc = config. relative_accuracy ( ) ;
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+ fn test_relative_accuracy ( config : Config , rel_acc : f64 , min_value : f32 , max_value : f32 ) {
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let max_observed_rel_acc = check_max_relative_accuracy ( config, min_value, max_value) ;
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assert ! (
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max_observed_rel_acc <= rel_acc + FLOATING_POINT_ACCEPTABLE_ERROR ,
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