[
  {
    "path": ".github/ISSUE_TEMPLATE.md",
    "content": "Before you file an issue, please consider:\n\nWe only accept pull requests for minor fixes or improvements. This includes:\n\n* Small bug fixes\n* Typos\n* Documentation or comments\n\nPlease open issues to discuss new features. Pull requests for new features will be rejected,\nso we recommend forking the repository and making changes in your fork for your use case.\n"
  },
  {
    "path": ".github/PULL_REQUEST_TEMPLATE.md",
    "content": "Before you create a pull request, please consider:\n\nWe only accept pull requests for minor fixes or improvements. This includes:\n\n* Small bug fixes\n* Typos\n* Documentation or comments\n\nPlease open issues to discuss new features. Pull requests for new features will be rejected,\nso we recommend forking the repository and making changes in your fork for your use case.\n"
  },
  {
    "path": ".gitignore",
    "content": "\\#*\n.\\#*"
  },
  {
    "path": ".whitesource",
    "content": "{\n  \"settingsInheritedFrom\": \"VividCortex/whitesource-config@master\"\n}"
  },
  {
    "path": "LICENSE",
    "content": "Copyright (c) 2013 VividCortex\n\nPermission is hereby granted, free of charge, to any person obtaining a copy\nof this software and associated documentation files (the \"Software\"), to deal\nin the Software without restriction, including without limitation the rights\nto use, copy, modify, merge, publish, distribute, sublicense, and/or sell\ncopies of the Software, and to permit persons to whom the Software is\nfurnished to do so, subject to the following conditions:\n\nThe above copyright notice and this permission notice shall be included in\nall copies or substantial portions of the Software.\n\nTHE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\nIMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\nFITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\nAUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\nLIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\nOUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN\nTHE SOFTWARE.\n"
  },
  {
    "path": "README.md",
    "content": "# gohistogram - Histograms in Go\n\n![build status](https://circleci.com/gh/VividCortex/gohistogram.png?circle-token=d37ec652ea117165cd1b342400a801438f575209)\n\nThis package provides [Streaming Approximate Histograms](https://vividcortex.com/blog/2013/07/08/streaming-approximate-histograms/)\nfor efficient quantile approximations.\n\nThe histograms in this package are based on the algorithms found in\nBen-Haim & Yom-Tov's *A Streaming Parallel Decision Tree Algorithm*\n([PDF](http://jmlr.org/papers/volume11/ben-haim10a/ben-haim10a.pdf)).\nHistogram bins do not have a preset size. As values stream into\nthe histogram, bins are dynamically added and merged.\n\nAnother implementation can be found in the Apache Hive project (see\n[NumericHistogram](http://hive.apache.org/docs/r0.11.0/api/org/apache/hadoop/hive/ql/udf/generic/NumericHistogram.html)).\n\nAn example:\n\n![histogram](http://i.imgur.com/5OplaRs.png)\n\nThe accurate method of calculating quantiles (like percentiles) requires\ndata to be sorted. Streaming histograms make it possible to approximate\nquantiles without sorting (or even individually storing) values.\n\nNumericHistogram is the more basic implementation of a streaming\nhistogram. WeightedHistogram implements bin values as exponentially-weighted\nmoving averages.\n\nA maximum bin size is passed as an argument to the constructor methods. A\nlarger bin size yields more accurate approximations at the cost of increased\nmemory utilization and performance.\n\nA picture of kittens:\n\n![stack of kittens](http://i.imgur.com/QxRTWAE.jpg)\n\n## Getting started\n\n### Using in your own code\n\n    $ go get github.com/VividCortex/gohistogram\n    \n```go\nimport \"github.com/VividCortex/gohistogram\"\n```\n\n### Running tests and making modifications\n\nGet the code into your workspace:\n\n    $ cd $GOPATH\n    $ git clone git@github.com:VividCortex/gohistogram.git ./src/github.com/VividCortex/gohistogram\n\nYou can run the tests now:\n\n    $ cd src/github.com/VividCortex/gohistogram\n    $ go test .\n\n## API Documentation\n\nFull source documentation can be found [here][godoc].\n\n[godoc]: http://godoc.org/github.com/VividCortex/gohistogram\n\n## Contributing\n\nWe only accept pull requests for minor fixes or improvements. This includes:\n\n* Small bug fixes\n* Typos\n* Documentation or comments\n\nPlease open issues to discuss new features. Pull requests for new features will be rejected,\nso we recommend forking the repository and making changes in your fork for your use case.\n\n## License\n\nCopyright (c) 2013 VividCortex\n\nReleased under MIT License. Check `LICENSE` file for details.\n"
  },
  {
    "path": "histogram.go",
    "content": "package gohistogram\n\n// Copyright (c) 2013 VividCortex, Inc. All rights reserved.\n// Please see the LICENSE file for applicable license terms.\n\n// Histogram is the interface that wraps the Add and Quantile methods.\ntype Histogram interface {\n\t// Add adds a new value, n, to the histogram. Trimming is done\n\t// automatically.\n\tAdd(n float64)\n\n\t// Quantile returns an approximation.\n\tQuantile(n float64) (q float64)\n\n\t// String returns a string reprentation of the histogram,\n\t// which is useful for printing to a terminal.\n\tString() (str string)\n}\n\ntype bin struct {\n\tvalue float64\n\tcount float64\n}\n"
  },
  {
    "path": "histogram_test.go",
    "content": "package gohistogram\n\n// Copyright (c) 2013 VividCortex, Inc. All rights reserved.\n// Please see the LICENSE file for applicable license terms.\n\nimport (\n\t\"math\"\n\t\"testing\"\n)\n\nfunc approx(x, y float64) bool {\n\treturn math.Abs(x-y) < 0.2\n}\n\nfunc TestHistogram(t *testing.T) {\n\th := NewHistogram(160)\n\tfor _, val := range testData {\n\t\th.Add(float64(val))\n\t}\n\tif h.Count() != 14999 {\n\t\tt.Errorf(\"Expected h.Count() to be 14999, got %v\", h.Count())\n\t}\n\n\tif firstQ := h.Quantile(0.25); !approx(firstQ, 14) {\n\t\tt.Errorf(\"Expected 25th percentile to be %v, got %v\", 14, firstQ)\n\t}\n\tif median := h.Quantile(0.5); !approx(median, 18) {\n\t\tt.Errorf(\"Expected 50th percentile to be %v, got %v\", 18, median)\n\t}\n\tif thirdQ := h.Quantile(0.75); !approx(thirdQ, 22) {\n\t\tt.Errorf(\"Expected 75th percentile to be %v, got %v\", 22, thirdQ)\n\t}\n\tif cdf := h.CDF(18); !approx(cdf, 0.5) {\n\t\tt.Errorf(\"Expected CDF(median) to be %v, got %v\", 0.5, cdf)\n\t}\n\tif cdf := h.CDF(22); !approx(cdf, 0.75) {\n\t\tt.Errorf(\"Expected CDF(3rd quartile) to be %v, got %v\", 0.75, cdf)\n\t}\n}\n\nfunc TestWeightedHistogram(t *testing.T) {\n\th := NewWeightedHistogram(160, 1)\n\tfor _, val := range testData {\n\t\th.Add(float64(val))\n\t}\n\n\tif firstQ := h.Quantile(0.25); !approx(firstQ, 14) {\n\t\tt.Errorf(\"Expected 25th percentile to be %v, got %v\", 14, firstQ)\n\t}\n\tif median := h.Quantile(0.5); !approx(median, 18) {\n\t\tt.Errorf(\"Expected 50th percentile to be %v, got %v\", 18, median)\n\t}\n\tif thirdQ := h.Quantile(0.75); !approx(thirdQ, 22) {\n\t\tt.Errorf(\"Expected 75th percentile to be %v, got %v\", 22, thirdQ)\n\t}\n\tif cdf := h.CDF(18); !approx(cdf, 0.5) {\n\t\tt.Errorf(\"Expected CDF(median) to be %v, got %v\", 0.5, cdf)\n\t}\n\tif cdf := h.CDF(22); !approx(cdf, 0.75) {\n\t\tt.Errorf(\"Expected CDF(3rd quartile) to be %v, got %v\", 0.75, cdf)\n\t}\n}\n"
  },
  {
    "path": "numerichistogram.go",
    "content": "package gohistogram\n\n// Copyright (c) 2013 VividCortex, Inc. All rights reserved.\n// Please see the LICENSE file for applicable license terms.\n\nimport (\n\t\"fmt\"\n)\n\ntype NumericHistogram struct {\n\tbins    []bin\n\tmaxbins int\n\ttotal   uint64\n}\n\n// NewHistogram returns a new NumericHistogram with a maximum of n bins.\n//\n// There is no \"optimal\" bin count, but somewhere between 20 and 80 bins\n// should be sufficient.\nfunc NewHistogram(n int) *NumericHistogram {\n\treturn &NumericHistogram{\n\t\tbins:    make([]bin, 0),\n\t\tmaxbins: n,\n\t\ttotal:   0,\n\t}\n}\n\nfunc (h *NumericHistogram) Add(n float64) {\n\tdefer h.trim()\n\th.total++\n\tfor i := range h.bins {\n\t\tif h.bins[i].value == n {\n\t\t\th.bins[i].count++\n\t\t\treturn\n\t\t}\n\n\t\tif h.bins[i].value > n {\n\n\t\t\tnewbin := bin{value: n, count: 1}\n\t\t\thead := append(make([]bin, 0), h.bins[0:i]...)\n\n\t\t\thead = append(head, newbin)\n\t\t\ttail := h.bins[i:]\n\t\t\th.bins = append(head, tail...)\n\t\t\treturn\n\t\t}\n\t}\n\n\th.bins = append(h.bins, bin{count: 1, value: n})\n}\n\nfunc (h *NumericHistogram) Quantile(q float64) float64 {\n\tcount := q * float64(h.total)\n\tfor i := range h.bins {\n\t\tcount -= float64(h.bins[i].count)\n\n\t\tif count <= 0 {\n\t\t\treturn h.bins[i].value\n\t\t}\n\t}\n\n\treturn -1\n}\n\n// CDF returns the value of the cumulative distribution function\n// at x\nfunc (h *NumericHistogram) CDF(x float64) float64 {\n\tcount := 0.0\n\tfor i := range h.bins {\n\t\tif h.bins[i].value <= x {\n\t\t\tcount += float64(h.bins[i].count)\n\t\t}\n\t}\n\n\treturn count / float64(h.total)\n}\n\n// Mean returns the sample mean of the distribution\nfunc (h *NumericHistogram) Mean() float64 {\n\tif h.total == 0 {\n\t\treturn 0\n\t}\n\n\tsum := 0.0\n\n\tfor i := range h.bins {\n\t\tsum += h.bins[i].value * h.bins[i].count\n\t}\n\n\treturn sum / float64(h.total)\n}\n\n// Variance returns the variance of the distribution\nfunc (h *NumericHistogram) Variance() float64 {\n\tif h.total == 0 {\n\t\treturn 0\n\t}\n\n\tsum := 0.0\n\tmean := h.Mean()\n\n\tfor i := range h.bins {\n\t\tsum += (h.bins[i].count * (h.bins[i].value - mean) * (h.bins[i].value - mean))\n\t}\n\n\treturn sum / float64(h.total)\n}\n\nfunc (h *NumericHistogram) Count() float64 {\n\treturn float64(h.total)\n}\n\n// trim merges adjacent bins to decrease the bin count to the maximum value\nfunc (h *NumericHistogram) trim() {\n\tfor len(h.bins) > h.maxbins {\n\t\t// Find closest bins in terms of value\n\t\tminDelta := 1e99\n\t\tminDeltaIndex := 0\n\t\tfor i := range h.bins {\n\t\t\tif i == 0 {\n\t\t\t\tcontinue\n\t\t\t}\n\n\t\t\tif delta := h.bins[i].value - h.bins[i-1].value; delta < minDelta {\n\t\t\t\tminDelta = delta\n\t\t\t\tminDeltaIndex = i\n\t\t\t}\n\t\t}\n\n\t\t// We need to merge bins minDeltaIndex-1 and minDeltaIndex\n\t\ttotalCount := h.bins[minDeltaIndex-1].count + h.bins[minDeltaIndex].count\n\t\tmergedbin := bin{\n\t\t\tvalue: (h.bins[minDeltaIndex-1].value*\n\t\t\t\th.bins[minDeltaIndex-1].count +\n\t\t\t\th.bins[minDeltaIndex].value*\n\t\t\t\t\th.bins[minDeltaIndex].count) /\n\t\t\t\ttotalCount, // weighted average\n\t\t\tcount: totalCount, // summed heights\n\t\t}\n\t\thead := append(make([]bin, 0), h.bins[0:minDeltaIndex-1]...)\n\t\ttail := append([]bin{mergedbin}, h.bins[minDeltaIndex+1:]...)\n\t\th.bins = append(head, tail...)\n\t}\n}\n\n// String returns a string reprentation of the histogram,\n// which is useful for printing to a terminal.\nfunc (h *NumericHistogram) String() (str string) {\n\tstr += fmt.Sprintln(\"Total:\", h.total)\n\n\tfor i := range h.bins {\n\t\tvar bar string\n\t\tfor j := 0; j < int(float64(h.bins[i].count)/float64(h.total)*200); j++ {\n\t\t\tbar += \".\"\n\t\t}\n\t\tstr += fmt.Sprintln(h.bins[i].value, \"\\t\", bar)\n\t}\n\n\treturn\n}\n"
  },
  {
    "path": "sample_data_test.go",
    "content": "package gohistogram\n\n// Copyright (c) 2013 VividCortex, Inc. All rights reserved.\n// Please see the LICENSE file for applicable license terms.\n\nvar testData = 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  },
  {
    "path": "weightedhistogram.go",
    "content": "// Package gohistogram contains implementations of weighted and exponential histograms.\npackage gohistogram\n\n// Copyright (c) 2013 VividCortex, Inc. All rights reserved.\n// Please see the LICENSE file for applicable license terms.\n\nimport \"fmt\"\n\n// A WeightedHistogram implements Histogram. A WeightedHistogram has bins that have values\n// which are exponentially weighted moving averages. This allows you keep inserting large\n// amounts of data into the histogram and approximate quantiles with recency factored in.\ntype WeightedHistogram struct {\n\tbins    []bin\n\tmaxbins int\n\ttotal   float64\n\talpha   float64\n}\n\n// NewWeightedHistogram returns a new WeightedHistogram with a maximum of n bins with a decay factor\n// of alpha.\n//\n// There is no \"optimal\" bin count, but somewhere between 20 and 80 bins should be\n// sufficient.\n//\n// Alpha should be set to 2 / (N+1), where N represents the average age of the moving window.\n// For example, a 60-second window with an average age of 30 seconds would yield an\n// alpha of 0.064516129.\nfunc NewWeightedHistogram(n int, alpha float64) *WeightedHistogram {\n\treturn &WeightedHistogram{\n\t\tbins:    make([]bin, 0),\n\t\tmaxbins: n,\n\t\ttotal:   0,\n\t\talpha:   alpha,\n\t}\n}\n\nfunc ewma(existingVal float64, newVal float64, alpha float64) (result float64) {\n\tresult = newVal*(1-alpha) + existingVal*alpha\n\treturn\n}\n\nfunc (h *WeightedHistogram) scaleDown(except int) {\n\tfor i := range h.bins {\n\t\tif i != except {\n\t\t\th.bins[i].count = ewma(h.bins[i].count, 0, h.alpha)\n\t\t}\n\t}\n}\n\nfunc (h *WeightedHistogram) Add(n float64) {\n\tdefer h.trim()\n\tfor i := range h.bins {\n\t\tif h.bins[i].value == n {\n\t\t\th.bins[i].count++\n\n\t\t\tdefer h.scaleDown(i)\n\t\t\treturn\n\t\t}\n\n\t\tif h.bins[i].value > n {\n\n\t\t\tnewbin := bin{value: n, count: 1}\n\t\t\thead := append(make([]bin, 0), h.bins[0:i]...)\n\n\t\t\thead = append(head, newbin)\n\t\t\ttail := h.bins[i:]\n\t\t\th.bins = append(head, tail...)\n\n\t\t\tdefer h.scaleDown(i)\n\t\t\treturn\n\t\t}\n\t}\n\n\th.bins = append(h.bins, bin{count: 1, value: n})\n}\n\nfunc (h *WeightedHistogram) Quantile(q float64) float64 {\n\tcount := q * h.total\n\tfor i := range h.bins {\n\t\tcount -= float64(h.bins[i].count)\n\n\t\tif count <= 0 {\n\t\t\treturn h.bins[i].value\n\t\t}\n\t}\n\n\treturn -1\n}\n\n// CDF returns the value of the cumulative distribution function\n// at x\nfunc (h *WeightedHistogram) CDF(x float64) float64 {\n\tcount := 0.0\n\tfor i := range h.bins {\n\t\tif h.bins[i].value <= x {\n\t\t\tcount += float64(h.bins[i].count)\n\t\t}\n\t}\n\n\treturn count / h.total\n}\n\n// Mean returns the sample mean of the distribution\nfunc (h *WeightedHistogram) Mean() float64 {\n\tif h.total == 0 {\n\t\treturn 0\n\t}\n\n\tsum := 0.0\n\n\tfor i := range h.bins {\n\t\tsum += h.bins[i].value * h.bins[i].count\n\t}\n\n\treturn sum / h.total\n}\n\n// Variance returns the variance of the distribution\nfunc (h *WeightedHistogram) Variance() float64 {\n\tif h.total == 0 {\n\t\treturn 0\n\t}\n\n\tsum := 0.0\n\tmean := h.Mean()\n\n\tfor i := range h.bins {\n\t\tsum += (h.bins[i].count * (h.bins[i].value - mean) * (h.bins[i].value - mean))\n\t}\n\n\treturn sum / h.total\n}\n\nfunc (h *WeightedHistogram) Count() float64 {\n\treturn h.total\n}\n\nfunc (h *WeightedHistogram) trim() {\n\ttotal := 0.0\n\tfor i := range h.bins {\n\t\ttotal += h.bins[i].count\n\t}\n\th.total = total\n\tfor len(h.bins) > h.maxbins {\n\n\t\t// Find closest bins in terms of value\n\t\tminDelta := 1e99\n\t\tminDeltaIndex := 0\n\t\tfor i := range h.bins {\n\t\t\tif i == 0 {\n\t\t\t\tcontinue\n\t\t\t}\n\n\t\t\tif delta := h.bins[i].value - h.bins[i-1].value; delta < minDelta {\n\t\t\t\tminDelta = delta\n\t\t\t\tminDeltaIndex = i\n\t\t\t}\n\t\t}\n\n\t\t// We need to merge bins minDeltaIndex-1 and minDeltaIndex\n\t\ttotalCount := h.bins[minDeltaIndex-1].count + h.bins[minDeltaIndex].count\n\t\tmergedbin := bin{\n\t\t\tvalue: (h.bins[minDeltaIndex-1].value*\n\t\t\t\th.bins[minDeltaIndex-1].count +\n\t\t\t\th.bins[minDeltaIndex].value*\n\t\t\t\t\th.bins[minDeltaIndex].count) /\n\t\t\t\ttotalCount, // weighted average\n\t\t\tcount: totalCount, // summed heights\n\t\t}\n\t\thead := append(make([]bin, 0), h.bins[0:minDeltaIndex-1]...)\n\t\ttail := append([]bin{mergedbin}, h.bins[minDeltaIndex+1:]...)\n\t\th.bins = append(head, tail...)\n\t}\n}\n\n// String returns a string reprentation of the histogram,\n// which is useful for printing to a terminal.\nfunc (h *WeightedHistogram) String() (str string) {\n\tstr += fmt.Sprintln(\"Total:\", h.total)\n\n\tfor i := range h.bins {\n\t\tvar bar string\n\t\tfor j := 0; j < int(float64(h.bins[i].count)/float64(h.total)*200); j++ {\n\t\t\tbar += \".\"\n\t\t}\n\t\tstr += fmt.Sprintln(h.bins[i].value, \"\\t\", bar)\n\t}\n\n\treturn\n}\n"
  }
]