36c2192414
* guix/graph.scm (shortest-path): New procedure.
* tests/graph.scm ("shortest-path, packages + derivations")
("shortest-path, reverse packages")
("shortest-path, references"): New tests.
376 lines
13 KiB
Scheme
376 lines
13 KiB
Scheme
;;; GNU Guix --- Functional package management for GNU
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;;; Copyright © 2015, 2016, 2020 Ludovic Courtès <ludo@gnu.org>
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;;; Copyright © 2016 Ricardo Wurmus <rekado@elephly.net>
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;;;
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;;; This file is part of GNU Guix.
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;;;
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;;; GNU Guix is free software; you can redistribute it and/or modify it
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;;; under the terms of the GNU General Public License as published by
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;;; the Free Software Foundation; either version 3 of the License, or (at
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;;; your option) any later version.
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;;;
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;;; GNU Guix is distributed in the hope that it will be useful, but
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;;; WITHOUT ANY WARRANTY; without even the implied warranty of
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;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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;;; GNU General Public License for more details.
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;;;
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;;; You should have received a copy of the GNU General Public License
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;;; along with GNU Guix. If not, see <http://www.gnu.org/licenses/>.
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(define-module (guix graph)
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#:use-module (guix store)
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#:use-module (guix monads)
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#:use-module (guix records)
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#:use-module (guix sets)
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#:use-module (rnrs io ports)
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#:use-module (srfi srfi-1)
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#:use-module (srfi srfi-9)
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#:use-module (srfi srfi-26)
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#:use-module (ice-9 match)
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#:use-module (ice-9 vlist)
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#:export (node-type
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node-type?
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node-type-identifier
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node-type-label
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node-type-edges
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node-type-convert
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node-type-name
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node-type-description
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node-edges
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node-back-edges
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traverse/depth-first
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node-transitive-edges
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node-reachable-count
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shortest-path
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%graph-backends
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%d3js-backend
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%graphviz-backend
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graph-backend?
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graph-backend
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graph-backend-name
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graph-backend-description
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export-graph))
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;;; Commentary:
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;;;
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;;; This module provides an abstract way to represent graphs and to manipulate
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;;; them. It comes with several such representations for packages,
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;;; derivations, and store items. It also provides a generic interface for
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;;; exporting graphs in an external format, including a Graphviz
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;;; implementation thereof.
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;;;
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;;; Code:
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;;;
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;;; Node types.
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;;;
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(define-record-type* <node-type> node-type make-node-type
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node-type?
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(identifier node-type-identifier) ;node -> M identifier
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(label node-type-label) ;node -> string
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(edges node-type-edges) ;node -> M list of nodes
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(convert node-type-convert ;any -> M list of nodes
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(default (lift1 list %store-monad)))
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(name node-type-name) ;string
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(description node-type-description)) ;string
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(define (%node-edges type nodes cons-edge)
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(with-monad %store-monad
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(match type
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(($ <node-type> identifier label node-edges)
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(define (add-edge node edges)
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(>>= (node-edges node)
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(lambda (nodes)
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(return (fold (cut cons-edge node <> <>)
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edges nodes)))))
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(mlet %store-monad ((edges (foldm %store-monad
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add-edge vlist-null nodes)))
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(return (lambda (node)
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(reverse (vhash-foldq* cons '() node edges)))))))))
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(define (node-edges type nodes)
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"Return, as a monadic value, a one-argument procedure that, given a node of TYPE,
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returns its edges. NODES is taken to be the sinks of the global graph."
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(%node-edges type nodes
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(lambda (source target edges)
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(vhash-consq source target edges))))
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(define (node-back-edges type nodes)
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"Return, as a monadic value, a one-argument procedure that, given a node of TYPE,
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returns its back edges. NODES is taken to be the sinks of the global graph."
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(%node-edges type nodes
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(lambda (source target edges)
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(vhash-consq target source edges))))
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(define (traverse/depth-first proc seed nodes node-edges)
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"Do a depth-first traversal of NODES along NODE-EDGES, calling PROC with
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each node and the current result, and visiting each reachable node exactly
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once. NODES must be a list of nodes, and NODE-EDGES must be a one-argument
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procedure as returned by 'node-edges' or 'node-back-edges'."
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(let loop ((nodes (append-map node-edges nodes))
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(result seed)
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(visited (setq)))
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(match nodes
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(()
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result)
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((head . tail)
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(if (set-contains? visited head)
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(loop tail result visited)
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(let ((edges (node-edges head)))
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(loop (append edges tail)
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(proc head result)
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(set-insert head visited))))))))
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(define (node-transitive-edges nodes node-edges)
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"Return the list of nodes directly or indirectly connected to NODES
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according to the NODE-EDGES procedure. NODE-EDGES must be a one-argument
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procedure that, given a node, returns its list of direct dependents; it is
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typically returned by 'node-edges' or 'node-back-edges'."
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(traverse/depth-first cons '() nodes node-edges))
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(define (node-reachable-count nodes node-edges)
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"Return the number of nodes reachable from NODES along NODE-EDGES."
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(traverse/depth-first (lambda (_ count)
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(+ 1 count))
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0
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nodes node-edges))
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(define (shortest-path node1 node2 type)
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"Return as a monadic value the shorted path, represented as a list, from
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NODE1 to NODE2 of the given TYPE. Return #f when there is no path."
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(define node-edges
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(node-type-edges type))
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(define (find-shortest lst)
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;; Return the shortest path among LST, where each path is represented as a
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;; vlist.
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(let loop ((lst lst)
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(best +inf.0)
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(shortest #f))
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(match lst
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(()
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shortest)
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((head . tail)
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(let ((len (vlist-length head)))
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(if (< len best)
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(loop tail len head)
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(loop tail best shortest)))))))
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(define (find-path node path paths)
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;; Return the a vhash that maps nodes to paths, with each path from the
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;; given node to NODE2.
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(define (augment-paths child paths)
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;; When using %REFERENCE-NODE-TYPE, nodes can contain self references,
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;; hence this test.
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(if (eq? child node)
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(store-return paths)
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(find-path child vlist-null paths)))
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(cond ((eq? node node2)
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(store-return (vhash-consq node (vlist-cons node path)
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paths)))
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((vhash-assq node paths)
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(store-return paths))
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(else
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;; XXX: We could stop recursing if one if CHILDREN is NODE2, but in
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;; practice it's good enough.
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(mlet* %store-monad ((children (node-edges node))
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(paths (foldm %store-monad
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augment-paths
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paths
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children)))
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(define sub-paths
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(filter-map (lambda (child)
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(match (vhash-assq child paths)
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(#f #f)
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((_ . path) path)))
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children))
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(match sub-paths
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(()
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(return (vhash-consq node #f paths)))
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(lst
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(return (vhash-consq node
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(vlist-cons node (find-shortest sub-paths))
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paths))))))))
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(mlet %store-monad ((paths (find-path node1
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(vlist-cons node1 vlist-null)
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vlist-null)))
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(return (match (vhash-assq node1 paths)
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((_ . #f) #f)
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((_ . path) (vlist->list path))))))
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;;;
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;;; Graphviz export.
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;;;
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(define-record-type <graph-backend>
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(graph-backend name description prologue epilogue node edge)
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graph-backend?
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(name graph-backend-name)
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(description graph-backend-description)
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(prologue graph-backend-prologue)
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(epilogue graph-backend-epilogue)
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(node graph-backend-node)
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(edge graph-backend-edge))
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(define %colors
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;; See colortbl.h in Graphviz.
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#("red" "magenta" "blue" "cyan3" "darkseagreen"
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"peachpuff4" "darkviolet" "dimgrey" "darkgoldenrod"))
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(define (pop-color hint)
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"Return a Graphviz color based on HINT, an arbitrary object."
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(let ((index (hash hint (vector-length %colors))))
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(vector-ref %colors index)))
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(define (emit-prologue name port)
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(format port "digraph \"Guix ~a\" {\n"
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name))
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(define (emit-epilogue port)
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(display "\n}\n" port))
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(define (emit-node id label port)
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(format port " \"~a\" [label = \"~a\", shape = box, fontname = Helvetica];~%"
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id label))
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(define (emit-edge id1 id2 port)
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(format port " \"~a\" -> \"~a\" [color = ~a];~%"
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id1 id2 (pop-color id1)))
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(define %graphviz-backend
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(graph-backend "graphviz"
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"Generate graph in DOT format for use with Graphviz."
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emit-prologue emit-epilogue
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emit-node emit-edge))
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;;;
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;;; d3js export.
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;;;
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(define (emit-d3js-prologue name port)
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(format port "\
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<!DOCTYPE html>
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<html>
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<head>
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<meta charset=\"utf-8\">
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<style>
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text {
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font: 10px sans-serif;
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pointer-events: none;
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}
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</style>
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<script type=\"text/javascript\" src=\"~a\"></script>
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</head>
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<body>
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<script type=\"text/javascript\">
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var nodes = {},
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nodeArray = [],
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links = [];
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" (search-path %load-path "d3.v3.js")))
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(define (emit-d3js-epilogue port)
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(format port "</script><script type=\"text/javascript\" src=\"~a\"></script></body></html>"
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(search-path %load-path "graph.js")))
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(define (emit-d3js-node id label port)
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(format port "\
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nodes[\"~a\"] = {\"id\": \"~a\", \"label\": \"~a\", \"index\": nodeArray.length};
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nodeArray.push(nodes[\"~a\"]);~%"
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id id label id))
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(define (emit-d3js-edge id1 id2 port)
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(format port "links.push({\"source\": \"~a\", \"target\": \"~a\"});~%"
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id1 id2))
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(define %d3js-backend
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(graph-backend "d3js"
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"Generate chord diagrams with d3js."
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emit-d3js-prologue emit-d3js-epilogue
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emit-d3js-node emit-d3js-edge))
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;;;
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;;; Cypher export.
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;;;
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(define (emit-cypher-prologue name port)
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(format port ""))
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(define (emit-cypher-epilogue port)
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(format port ""))
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(define (emit-cypher-node id label port)
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(format port "MERGE (p:Package { id: ~s }) SET p.name = ~s;~%"
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id label ))
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(define (emit-cypher-edge id1 id2 port)
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(format port "MERGE (a:Package { id: ~s });~%" id1)
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(format port "MERGE (b:Package { id: ~s });~%" id2)
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(format port "MATCH (a:Package { id: ~s }), (b:Package { id: ~s }) CREATE UNIQUE (a)-[:NEEDS]->(b);~%"
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id1 id2))
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(define %cypher-backend
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(graph-backend "cypher"
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"Generate Cypher queries."
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emit-cypher-prologue emit-cypher-epilogue
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emit-cypher-node emit-cypher-edge))
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;;;
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;;; Shared.
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;;;
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(define %graph-backends
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(list %graphviz-backend
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%d3js-backend
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%cypher-backend))
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(define* (export-graph sinks port
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#:key
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reverse-edges? node-type
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(backend %graphviz-backend))
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"Write to PORT the representation of the DAG with the given SINKS, using the
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given BACKEND. Use NODE-TYPE to traverse the DAG. When REVERSE-EDGES? is
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true, draw reverse arrows."
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(match backend
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(($ <graph-backend> _ _ emit-prologue emit-epilogue emit-node emit-edge)
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(emit-prologue (node-type-name node-type) port)
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(match node-type
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(($ <node-type> node-identifier node-label node-edges)
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(let loop ((nodes sinks)
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(visited (set)))
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(match nodes
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(()
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(with-monad %store-monad
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(emit-epilogue port)
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(store-return #t)))
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((head . tail)
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(mlet %store-monad ((id (node-identifier head)))
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(if (set-contains? visited id)
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(loop tail visited)
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(mlet* %store-monad ((dependencies (node-edges head))
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(ids (mapm %store-monad
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node-identifier
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dependencies)))
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(emit-node id (node-label head) port)
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(for-each (lambda (dependency dependency-id)
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(if reverse-edges?
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(emit-edge dependency-id id port)
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(emit-edge id dependency-id port)))
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dependencies ids)
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(loop (append dependencies tail)
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(set-insert id visited)))))))))))))
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;;; graph.scm ends here
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