From d0063ecb50bd0a334b3ad15e00046d129126003c Mon Sep 17 00:00:00 2001 From: Brian Harrington Date: Sat, 29 Apr 2023 13:35:49 -0500 Subject: [PATCH 1/2] add log-linear scale type It behaves like a log scale for powers of 10 with linear behavior in between. This helps spread out the smaller values. This can be useful for things like a heatmap view of percentile distributions. --- .../atlas/chart/graphics/LogLinear.scala | 100 ++++++++++++++++++ .../netflix/atlas/chart/graphics/Scales.scala | 38 +++++++ .../netflix/atlas/chart/graphics/Ticks.scala | 46 +++++++- .../com/netflix/atlas/chart/model/Scale.java | 14 +-- .../dark_heatmap_basic_color_log_linear.png | Bin 0 -> 49519 bytes .../dark_heatmap_basic_log_linear.png | Bin 0 -> 29963 bytes .../dark_heatmap_dist_log_linear.png | Bin 0 -> 32251 bytes .../dark_heatmap_timer2_log_linear.png | Bin 0 -> 34027 bytes .../dark_heatmap_timer_log_linear.png | Bin 0 -> 32035 bytes .../heatmap_basic_color_log_linear.png | Bin 0 -> 49916 bytes .../heatmap_basic_log_linear.png | Bin 0 -> 30864 bytes .../heatmap_dist_log_linear.png | Bin 0 -> 32416 bytes .../heatmap_timer2_log_linear.png | Bin 0 -> 33795 bytes .../heatmap_timer_log_linear.png | Bin 0 -> 32197 bytes .../atlas/chart/PngGraphEngineSuite.scala | 35 ++++++ .../atlas/chart/graphics/LogLinearSuite.scala | 82 ++++++++++++++ .../atlas/eval/graph/GrapherSuite.scala | 20 ++++ 17 files changed, 326 insertions(+), 9 deletions(-) create mode 100644 atlas-chart/src/main/scala/com/netflix/atlas/chart/graphics/LogLinear.scala create mode 100644 atlas-chart/src/test/resources/graphengine/DefaultGraphEngineSuite/dark_heatmap_basic_color_log_linear.png create mode 100644 atlas-chart/src/test/resources/graphengine/DefaultGraphEngineSuite/dark_heatmap_basic_log_linear.png create mode 100644 atlas-chart/src/test/resources/graphengine/DefaultGraphEngineSuite/dark_heatmap_dist_log_linear.png create mode 100644 atlas-chart/src/test/resources/graphengine/DefaultGraphEngineSuite/dark_heatmap_timer2_log_linear.png create mode 100644 atlas-chart/src/test/resources/graphengine/DefaultGraphEngineSuite/dark_heatmap_timer_log_linear.png create mode 100644 atlas-chart/src/test/resources/graphengine/DefaultGraphEngineSuite/heatmap_basic_color_log_linear.png create mode 100644 atlas-chart/src/test/resources/graphengine/DefaultGraphEngineSuite/heatmap_basic_log_linear.png create mode 100644 atlas-chart/src/test/resources/graphengine/DefaultGraphEngineSuite/heatmap_dist_log_linear.png create mode 100644 atlas-chart/src/test/resources/graphengine/DefaultGraphEngineSuite/heatmap_timer2_log_linear.png create mode 100644 atlas-chart/src/test/resources/graphengine/DefaultGraphEngineSuite/heatmap_timer_log_linear.png create mode 100644 atlas-chart/src/test/scala/com/netflix/atlas/chart/graphics/LogLinearSuite.scala diff --git a/atlas-chart/src/main/scala/com/netflix/atlas/chart/graphics/LogLinear.scala b/atlas-chart/src/main/scala/com/netflix/atlas/chart/graphics/LogLinear.scala new file mode 100644 index 000000000..8505938b4 --- /dev/null +++ b/atlas-chart/src/main/scala/com/netflix/atlas/chart/graphics/LogLinear.scala @@ -0,0 +1,100 @@ +/* + * Copyright 2014-2023 Netflix, Inc. + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ +package com.netflix.atlas.chart.graphics + +/** + * Helper functions for log-linear scale. This scale does powers of 10 with a linear scale + * between each power of 10. This helps emphasize some of the smaller values when there is + * a larger overall range. + */ +private[graphics] object LogLinear { + + /** + * Find the max value for a given bucket. If `i` is negative it will select the negative + * bucket value. + */ + def bucket(i: Int): Double = { + if (i < 0) + -bucket(-i - 1) + else + bucketSpan(i) * (i % 9 + 1) + } + + /** + * Find the span for a given bucket. This should be the previous power of 10. + */ + def bucketSpan(i: Int): Double = { + val idx = if (i < 0) -i - 1 else i + val exp = idx / 9 - 9 + math.pow(10, exp) + } + + /** Power of 10 for a long value. */ + private def pow(exp: Int): Long = { + var result = 1L + var i = 0 + while (i < exp) { + result *= 10 + i += 1 + } + result + } + + /** + * Find the bucket index for a given value. Negative values will return a negative index + * that reflect the positive scale. + */ + def bucketIndex(v: Double): Int = { + if (v < 0.0) { + -bucketIndex(-v) - 1 + } else if (v == 0.0) { + 0 + } else { + val lg = math.max(-9.0, math.floor(math.log10(v))) + val prevBuckets = (lg.toInt + 9) * 9 + val E = 6.0 - lg + if (E >= 0.0) { + // For values in this range convert to Long and use integer math + // to avoid some problems with floating point + val n = (v * math.pow(10, E)).toLong + val exp = lg.toInt + E.toInt + val p10 = pow(exp) + ((n - 1) / p10).toInt + prevBuckets + } else { + val p10 = math.pow(10, lg) + val delta = v - p10 + math.ceil(delta / p10).toInt + prevBuckets + } + } + } + + private def ratio(v: Double, i: Int): Double = { + if (v < 0.0) { + 1.0 - ratio(-v, -i - 1) + } else { + val span = bucketSpan(i) + val boundary = bucket(i) - span + (v - boundary) / span + } + } + + /** Determine the pixel position for a given value. */ + def position(v: Double, min: Int, pixelsPerBucket: Double): Double = { + val i = bucketIndex(v) + val offset = math.max(0.0, i - min - 1) * pixelsPerBucket + ratio(v, i) * pixelsPerBucket + offset + } +} diff --git a/atlas-chart/src/main/scala/com/netflix/atlas/chart/graphics/Scales.scala b/atlas-chart/src/main/scala/com/netflix/atlas/chart/graphics/Scales.scala index e3d77cb0d..19646d880 100644 --- a/atlas-chart/src/main/scala/com/netflix/atlas/chart/graphics/Scales.scala +++ b/atlas-chart/src/main/scala/com/netflix/atlas/chart/graphics/Scales.scala @@ -44,6 +44,7 @@ object Scales { def factory(s: Scale): DoubleFactory = s match { case Scale.LINEAR => yscale(linear) case Scale.LOGARITHMIC => yscale(logarithmic) + case Scale.LOG_LINEAR => yscale(logLinear) case Scale.POWER_2 => yscale(power(2.0)) case Scale.SQRT => yscale(power(0.5)) } @@ -73,6 +74,26 @@ object Scales { v => scale(log10(v)) } + /** + * Factory for a log linear mapping. It does a logarithmic behavior for powers of 10 and + * is linear in between them. This helps spread out smaller values if there is a big range + * on the data set. + */ + def logLinear(d1: Double, d2: Double, r1: Int, r2: Int): DoubleScale = { + val b1 = + if (d1 >= 0.0) + math.max(0, LogLinear.bucketIndex(d1) - 1) + else + LogLinear.bucketIndex(d1) - 1 + val b2 = LogLinear.bucketIndex(d2) + if (b1 == b2) { + linear(d1, d2, r1, r2) + } else { + val pixelsPerBucket = (r2 - r1).toDouble / math.abs(b2 - b1).toDouble + v => LogLinear.position(v, b1, pixelsPerBucket).toInt + r1 + } + } + private def pow(value: Double, exp: Double): Double = { value match { case v if v > 0.0 => math.pow(v, exp) @@ -112,6 +133,7 @@ object Scales { def inverted(s: Scale): InvertedFactory = s match { case Scale.LINEAR => invertedScale(invertedLinear) case Scale.LOGARITHMIC => invertedScale(invertedLogarithmic) + case Scale.LOG_LINEAR => invertedScale(invertedLogLinear) case Scale.POWER_2 => invertedScale(invertedPower(2.0)) case Scale.SQRT => invertedScale(invertedPower(0.5)) } @@ -139,6 +161,22 @@ object Scales { v => pow10(scale(v)) } + /** Factory for an inverted log-linear mapping. */ + def invertedLogLinear(d1: Double, d2: Double, r1: Int, r2: Int): InvertedScale = { + val b1 = + if (d1 >= 0.0) + math.max(0, LogLinear.bucketIndex(d1) - 1) + else + LogLinear.bucketIndex(d1) - 1 + val b2 = LogLinear.bucketIndex(d2) + if (b1 == b2) { + invertedLinear(d1, d2, r1, r2) + } else { + val pixelsPerBucket = (r2 - r1).toDouble / math.abs(b2 - b1).toDouble + v => LogLinear.bucket(((v - r1) / pixelsPerBucket).toInt - b1) + } + } + /** Factory for an inverted power mapping. */ def invertedPower(exp: Double)(d1: Double, d2: Double, r1: Int, r2: Int): InvertedScale = { val p1 = pow(d1, exp) diff --git a/atlas-chart/src/main/scala/com/netflix/atlas/chart/graphics/Ticks.scala b/atlas-chart/src/main/scala/com/netflix/atlas/chart/graphics/Ticks.scala index 7a23725d6..d9c2e043a 100644 --- a/atlas-chart/src/main/scala/com/netflix/atlas/chart/graphics/Ticks.scala +++ b/atlas-chart/src/main/scala/com/netflix/atlas/chart/graphics/Ticks.scala @@ -250,9 +250,49 @@ object Ticks { def value(v1: Double, v2: Double, n: Int, scale: Scale = Scale.LINEAR): List[ValueTick] = { val r = validateAndGetRange(v1, v2) - valueTickSizes - .find(t => r / t._1 <= n) - .fold(sciTicks(v1, v2, n))(t => decimalTicks(v1, v2, n, t, scale)) + if (scale == Scale.LOG_LINEAR) { + logLinear(v1, v2, n) + } else { + valueTickSizes + .find(t => r / t._1 <= n) + .fold(sciTicks(v1, v2, n))(t => decimalTicks(v1, v2, n, t, scale)) + } + } + + def logLinear(v1: Double, v2: Double, n: Int): List[ValueTick] = { + val s = LogLinear.bucketIndex(v1) + val e = LogLinear.bucketIndex(v2) + val posAndNeg = s < 0 && e > 0 + val numBuckets = e - s + val majorMod = math.max(1, ((numBuckets / 9) + n - 1) / n * 9) + def idx(i: Int) = if (i < 0) -i - 1 else i + def isMajor(i: Int) = { + if (numBuckets <= n) + true + else + idx(i) % majorMod == 0 + } + (s to e).toList + .flatMap { i => + // Rules + // - The associated value is outside the range + // - If the range includes both positive and negative values, then ignore the first + // bucket for both sides and add a tick at zero. + // - Use all buckets if the number is less than requested number of ticks. + // - Otherwise, just include ticks at powers of 10. Major ticks should roughly match + // the requested number. + val b = LogLinear.bucket(i) + if (b < v1 || b > v2) + None + else if (posAndNeg && i == -1) + None + else if (posAndNeg && i == 0) + Some(ValueTick(0.0, 0.0)) + else if (numBuckets < n * 10 || idx(i) % 9 == 0) + Some(ValueTick(LogLinear.bucket(i), 0.0, major = isMajor(i))) + else + None + } } /** diff --git a/atlas-chart/src/main/scala/com/netflix/atlas/chart/model/Scale.java b/atlas-chart/src/main/scala/com/netflix/atlas/chart/model/Scale.java index 9be430fdd..73aad375b 100644 --- a/atlas-chart/src/main/scala/com/netflix/atlas/chart/model/Scale.java +++ b/atlas-chart/src/main/scala/com/netflix/atlas/chart/model/Scale.java @@ -22,18 +22,20 @@ public enum Scale { LINEAR, LOGARITHMIC, + LOG_LINEAR, POWER_2, SQRT; /** Returns the scale constant associated with a given name. */ public static Scale fromName(String s) { return switch (s) { - case "linear" -> LINEAR; - case "log" -> LOGARITHMIC; - case "pow2" -> POWER_2; - case "sqrt" -> SQRT; - default -> throw new IllegalArgumentException("unknown scale type '" + s - + "', should be linear, log, pow2, or sqrt"); + case "linear" -> LINEAR; + case "log" -> LOGARITHMIC; + case "log-linear" -> LOG_LINEAR; + case "pow2" -> POWER_2; + case "sqrt" -> SQRT; + default -> throw new IllegalArgumentException("unknown scale type '" + s + + "', should be linear, log, log-linear, pow2, or sqrt"); }; } } diff --git a/atlas-chart/src/test/resources/graphengine/DefaultGraphEngineSuite/dark_heatmap_basic_color_log_linear.png b/atlas-chart/src/test/resources/graphengine/DefaultGraphEngineSuite/dark_heatmap_basic_color_log_linear.png new file mode 100644 index 0000000000000000000000000000000000000000..03b2e948266ae6ce040da288eee6b8525b30bd5d GIT binary patch literal 49519 zcmeEuc{r4B|91PP5)~qpC6(-<5hKY`ibVD$OOX*VB+HmkA$z{E)`Vmy%VZ}zF$Q65 z5iv9qvdmx%-s?tv*XKFj<#>KAu*|h`wqfM3WU(9phb(&V^PO4 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