chore(server): Import layer grouping logic into server component
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@ -108,4 +108,13 @@
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sha256 = "05wig23l2sil3bfdv19gq62sya7hsabqj9l8pzr1sm57qsvj218d";
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};
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}
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{
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goPackagePath = "gonum.org/v1/gonum";
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fetch = {
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type = "git";
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url = "https://github.com/gonum/gonum";
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rev = "ced62fe5104b907b6c16cb7e575c17b2e62ceddd";
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sha256 = "1b7q6haabnp53igpmvr6a2414yralhbrldixx4kbxxg1apy8jdjg";
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};
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}
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]
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352
tools/nixery/server/layers/grouping.go
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352
tools/nixery/server/layers/grouping.go
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// This program reads an export reference graph (i.e. a graph representing the
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// runtime dependencies of a set of derivations) created by Nix and groups them
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// in a way that is likely to match the grouping for other derivation sets with
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// overlapping dependencies.
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//
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// This is used to determine which derivations to include in which layers of a
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// container image.
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//
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// # Inputs
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//
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// * a graph of Nix runtime dependencies, generated via exportReferenceGraph
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// * a file containing absolute popularity values of packages in the
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// Nix package set (in the form of a direct reference count)
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// * a maximum number of layers to allocate for the image (the "layer budget")
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//
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// # Algorithm
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//
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// It works by first creating a (directed) dependency tree:
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//
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// img (root node)
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// │
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// ├───> A ─────┐
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// │ v
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// ├───> B ───> E
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// │ ^
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// ├───> C ─────┘
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// │ │
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// │ v
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// └───> D ───> F
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// │
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// └────> G
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//
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// Each node (i.e. package) is then visited to determine how important
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// it is to separate this node into its own layer, specifically:
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//
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// 1. Is the node within a certain threshold percentile of absolute
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// popularity within all of nixpkgs? (e.g. `glibc`, `openssl`)
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//
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// 2. Is the node's runtime closure above a threshold size? (e.g. 100MB)
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//
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// In either case, a bit is flipped for this node representing each
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// condition and an edge to it is inserted directly from the image
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// root, if it does not already exist.
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//
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// For the rest of the example we assume 'G' is above the threshold
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// size and 'E' is popular.
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//
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// This tree is then transformed into a dominator tree:
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//
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// img
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// │
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// ├───> A
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// ├───> B
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// ├───> C
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// ├───> E
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// ├───> D ───> F
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// └───> G
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//
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// Specifically this means that the paths to A, B, C, E, G, and D
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// always pass through the root (i.e. are dominated by it), whilst F
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// is dominated by D (all paths go through it).
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//
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// The top-level subtrees are considered as the initially selected
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// layers.
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//
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// If the list of layers fits within the layer budget, it is returned.
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//
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// Otherwise, a merge rating is calculated for each layer. This is the
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// product of the layer's total size and its root node's popularity.
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//
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// Layers are then merged in ascending order of merge ratings until
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// they fit into the layer budget.
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//
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// # Threshold values
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//
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// Threshold values for the partitioning conditions mentioned above
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// have not yet been determined, but we will make a good first guess
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// based on gut feeling and proceed to measure their impact on cache
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// hits/misses.
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//
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// # Example
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//
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// Using the logic described above as well as the example presented in
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// the introduction, this program would create the following layer
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// groupings (assuming no additional partitioning):
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//
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// Layer budget: 1
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// Layers: { A, B, C, D, E, F, G }
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//
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// Layer budget: 2
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// Layers: { G }, { A, B, C, D, E, F }
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//
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// Layer budget: 3
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// Layers: { G }, { E }, { A, B, C, D, F }
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//
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// Layer budget: 4
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// Layers: { G }, { E }, { D, F }, { A, B, C }
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//
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// ...
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//
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// Layer budget: 10
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// Layers: { E }, { D, F }, { A }, { B }, { C }
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package layers
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import (
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"encoding/json"
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"flag"
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"io/ioutil"
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"log"
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"regexp"
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"sort"
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"gonum.org/v1/gonum/graph/flow"
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"gonum.org/v1/gonum/graph/simple"
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)
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// closureGraph represents the structured attributes Nix outputs when asking it
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// for the exportReferencesGraph of a list of derivations.
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type exportReferences struct {
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References struct {
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Graph []string `json:"graph"`
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} `json:"exportReferencesGraph"`
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Graph []struct {
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Size uint64 `json:"closureSize"`
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Path string `json:"path"`
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Refs []string `json:"references"`
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} `json:"graph"`
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}
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// Popularity data for each Nix package that was calculated in advance.
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//
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// Popularity is a number from 1-100 that represents the
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// popularity percentile in which this package resides inside
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// of the nixpkgs tree.
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type Popularity = map[string]int
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// layer represents the data returned for each layer that Nix should
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// build for the container image.
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type layer struct {
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Contents []string `json:"contents"`
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mergeRating uint64
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}
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func (a layer) merge(b layer) layer {
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a.Contents = append(a.Contents, b.Contents...)
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a.mergeRating += b.mergeRating
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return a
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}
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// closure as pointed to by the graph nodes.
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type closure struct {
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GraphID int64
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Path string
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Size uint64
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Refs []string
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Popularity int
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}
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func (c *closure) ID() int64 {
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return c.GraphID
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}
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var nixRegexp = regexp.MustCompile(`^/nix/store/[a-z0-9]+-`)
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func (c *closure) DOTID() string {
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return nixRegexp.ReplaceAllString(c.Path, "")
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}
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// bigOrPopular checks whether this closure should be considered for
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// separation into its own layer, even if it would otherwise only
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// appear in a subtree of the dominator tree.
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func (c *closure) bigOrPopular() bool {
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const sizeThreshold = 100 * 1000000 // 100MB
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if c.Size > sizeThreshold {
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return true
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}
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// The threshold value used here is currently roughly the
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// minimum number of references that only 1% of packages in
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// the entire package set have.
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//
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// TODO(tazjin): Do this more elegantly by calculating
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// percentiles for each package and using those instead.
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if c.Popularity >= 1000 {
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return true
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}
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return false
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}
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func insertEdges(graph *simple.DirectedGraph, cmap *map[string]*closure, node *closure) {
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// Big or popular nodes get a separate edge from the top to
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// flag them for their own layer.
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if node.bigOrPopular() && !graph.HasEdgeFromTo(0, node.ID()) {
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edge := graph.NewEdge(graph.Node(0), node)
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graph.SetEdge(edge)
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}
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for _, c := range node.Refs {
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// Nix adds a self reference to each node, which
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// should not be inserted.
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if c != node.Path {
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edge := graph.NewEdge(node, (*cmap)[c])
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graph.SetEdge(edge)
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}
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}
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}
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// Create a graph structure from the references supplied by Nix.
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func buildGraph(refs *exportReferences, pop *Popularity) *simple.DirectedGraph {
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cmap := make(map[string]*closure)
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graph := simple.NewDirectedGraph()
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// Insert all closures into the graph, as well as a fake root
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// closure which serves as the top of the tree.
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//
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// A map from store paths to IDs is kept to actually insert
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// edges below.
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root := &closure{
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GraphID: 0,
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Path: "image_root",
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}
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graph.AddNode(root)
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for idx, c := range refs.Graph {
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node := &closure{
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GraphID: int64(idx + 1), // inc because of root node
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Path: c.Path,
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Size: c.Size,
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Refs: c.Refs,
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}
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if p, ok := (*pop)[node.DOTID()]; ok {
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node.Popularity = p
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} else {
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node.Popularity = 1
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}
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graph.AddNode(node)
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cmap[c.Path] = node
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}
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// Insert the top-level closures with edges from the root
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// node, then insert all edges for each closure.
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for _, p := range refs.References.Graph {
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edge := graph.NewEdge(root, cmap[p])
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graph.SetEdge(edge)
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}
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for _, c := range cmap {
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insertEdges(graph, &cmap, c)
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}
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return graph
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}
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// Extracts a subgraph starting at the specified root from the
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// dominator tree. The subgraph is converted into a flat list of
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// layers, each containing the store paths and merge rating.
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func groupLayer(dt *flow.DominatorTree, root *closure) layer {
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size := root.Size
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contents := []string{root.Path}
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children := dt.DominatedBy(root.ID())
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// This iteration does not use 'range' because the list being
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// iterated is modified during the iteration (yes, I'm sorry).
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for i := 0; i < len(children); i++ {
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child := children[i].(*closure)
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size += child.Size
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contents = append(contents, child.Path)
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children = append(children, dt.DominatedBy(child.ID())...)
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}
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return layer{
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Contents: contents,
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// TODO(tazjin): The point of this is to factor in
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// both the size and the popularity when making merge
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// decisions, but there might be a smarter way to do
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// it than a plain multiplication.
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mergeRating: uint64(root.Popularity) * size,
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}
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}
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// Calculate the dominator tree of the entire package set and group
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// each top-level subtree into a layer.
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//
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// Layers are merged together until they fit into the layer budget,
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// based on their merge rating.
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func dominate(budget int, graph *simple.DirectedGraph) []layer {
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dt := flow.Dominators(graph.Node(0), graph)
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var layers []layer
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for _, n := range dt.DominatedBy(dt.Root().ID()) {
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layers = append(layers, groupLayer(&dt, n.(*closure)))
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}
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sort.Slice(layers, func(i, j int) bool {
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return layers[i].mergeRating < layers[j].mergeRating
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})
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if len(layers) > budget {
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log.Printf("Ideal image has %v layers, but budget is %v\n", len(layers), budget)
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}
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for len(layers) > budget {
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merged := layers[0].merge(layers[1])
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layers[1] = merged
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layers = layers[1:]
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}
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return layers
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}
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func main() {
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graphFile := flag.String("graph", ".attrs.json", "Input file containing graph")
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popFile := flag.String("pop", "popularity.json", "Package popularity data")
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outFile := flag.String("out", "layers.json", "File to write layers to")
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layerBudget := flag.Int("budget", 94, "Total layer budget available")
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flag.Parse()
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// Parse graph data
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file, err := ioutil.ReadFile(*graphFile)
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if err != nil {
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log.Fatalf("Failed to load input: %s\n", err)
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}
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var refs exportReferences
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err = json.Unmarshal(file, &refs)
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if err != nil {
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log.Fatalf("Failed to deserialise input: %s\n", err)
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}
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// Parse popularity data
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popBytes, err := ioutil.ReadFile(*popFile)
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if err != nil {
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log.Fatalf("Failed to load input: %s\n", err)
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}
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var pop Popularity
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err = json.Unmarshal(popBytes, &pop)
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if err != nil {
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log.Fatalf("Failed to deserialise input: %s\n", err)
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}
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graph := buildGraph(&refs, &pop)
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layers := dominate(*layerBudget, graph)
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j, _ := json.Marshal(layers)
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ioutil.WriteFile(*outFile, j, 0644)
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}
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