Graphs.Mesa
Mike Spreitzer August 21, 1986 4:44:22 pm PDT
DIRECTORY Asserting, Rope;
Graphs: CEDAR DEFINITIONS = {
This interface defines an abstract data-type for graphs. A graph has a set of vertices, and edges between the vertices. The edges may or may not be directed. The edges and the vertices may or may not be labelled; if they are, the labels are ROPEs. Other interfaces may be defined with a richer structure, built on top of these graphs.
The implementor of a graph vertex uses the `rep' and `class' fields. A client of a graph may put data of his own on a vertex via the `other' field.
The structure of a graph is revealed through the class procedures of the vertices of the graph. Some of the class procedures can be derived from others. The class has slots for the derivatives because they can sometimes be computed more cheaply than by the obvious derivation from the basic procedures. An implementor of a class of vertex that can compute the derivatives more cheaply should provide them. An implementor of a class that cannot compute the derivatives more cheaply need not provide them. Clients can call the procedures in this interface, rather than calling the class procedures directly. The procedures in this interface will derive themselves from the provided class procedures in the most efficient way. On the other hand, if a client is interested in some derivative procedure that has not been provided for in this interface, it must be synthesized by the client from the procedures in the vertex class and the procedures in this interface.
ROPE: TYPE = Rope.ROPE;
Cant:
ERROR;
Raised if you ask for something impossible.
Graph: TYPE = REF GraphPrivate;
GraphPrivate:
TYPE =
RECORD [
rep: REF ANY,
class: GraphClass,
other: Asserting.Assertions ← NIL
];
Vertex: TYPE = REF VertexPrivate;
VertexPrivate:
TYPE =
RECORD [
rep: REF ANY,
class: VertexClass,
other: Asserting.Assertions ← NIL
];
VertexConsumer:
TYPE =
RECORD [
proc: VertexConsumerProc,
data: REF ANY ← NIL];
VertexConsumerProc: TYPE = PROC [vertex: Vertex, data: REF ANY ← NIL];
EnumerateVertices: EnumerateVerticesProc;
EnumerateVerticesProc:
TYPE =
PROC [graph: Graph, consume: VertexConsumer];
DestroyGraph: GraphDestroyer;
GraphDestroyer: TYPE = PROC [graph: Graph];
DestroyVertex: VertexConsumerProc;
NILs out the REFs near this vertex so as to break circularities.
Expand: ExpandProc;
ExpandProc:
TYPE =
PROC [vertex: Vertex, consume: EdgeConsumer, filter: EdgeFilter ← all];
EdgeConsumer:
TYPE =
RECORD [
proc: EdgeConsumerProc,
data: REF ANY ← NIL];
EdgeConsumerProc: TYPE = PROC [edge: Edge, data: REF ANY ← NIL];
Edge: TYPE = RECORD [direction: Direction, label: Label, otherSide: Vertex];
Direction: TYPE = {Undirected, Incoming, Outgoing};
DirectedDirection: TYPE = Direction[Incoming .. Outgoing];
EdgeFilter:
TYPE =
ARRAY DirectedDirection
OF
BOOL;
An Undirected Edge passes if either filter[Incoming] or filter[Outgoing].
all: EdgeFilter = ALL[TRUE];
incoming: EdgeFilter = [Incoming: TRUE, Outgoing: FALSE];
outgoing: EdgeFilter = [Incoming: FALSE, Outgoing: TRUE];
GetLabel: GetLabelProc;
GetLabelProc:
TYPE =
PROC [vertex: Vertex]
RETURNS [label: Label];
Label: TYPE = ROPE ← NIL;
unlabeled: Label = NIL;
EnumerateForLabels: LabelEnumerator;
LabelEnumerator:
TYPE =
PROC [vertex: Vertex, consume: LabelConsumer, edgeFilter: EdgeFilter ← all];
LabelConsumer:
TYPE =
RECORD [
proc: LabelConsumerProc,
data: REF ANY ← NIL];
LabelConsumerProc: TYPE = PROC [direction: Direction, edgeLabel, vertexLabel: Label, data: REF ANY];
GetNeighbor: NeighborGetter;
NeighborGetter:
TYPE =
PROC [vertex: Vertex, index:
INT
--origin 1-- ← noIndex, edgeLabel, vertexLabel: Label ← unlabeled, filter: EdgeFilter ← all]
RETURNS [neighbor: Vertex];
Returns a vertex on the other side of the edge identified by index, edgeLabel, and (other)vertexLabel, and filter. The edge must pass the edge filter. If index # noIndex, the edge must be the index'th one enumerated by Expand. If edgeLabel # unlabeled, this edge must be labelled with it. If vertexLabel # unlabeled, the neighbor must be so labelled. If there is no such vertex, NIL is returned. If this information does not uniquely identify a vertex, Cant may or may not be raised.
noIndex: INT = FIRST[INT];
GetNeighborCount: NeighborCountProc;
NeighborCountProc: TYPE = PROC [vertex: Vertex, filter: EdgeFilter ← all] RETURNS [neighborCount: INT];
GraphClass: TYPE = REF GraphClassPrivate;
GraphClassPrivate:
TYPE =
RECORD [
EnumerateVertices: EnumerateVerticesProc,
Destroy: GraphDestroyer
];
VertexClass: TYPE = REF VertexClassPrivate;
VertexClassPrivate:
TYPE =
RECORD [
data: REF ANY ← NIL,
Destroy: VertexConsumerProc,
Expand: ExpandProc,
GetLabel: GetLabelProc ← NIL,
EnumerateForLabels: LabelEnumerator ← NIL,
GetNeighbor: NeighborGetter ← NIL,
GetNeighborCount: NeighborCountProc ← NIL,
other: Asserting.Assertions ← NIL
];
Proc: TYPE = PROC ANY RETURNS ANY;
AssertOtherProc: PROC [key: ATOM, proc: Proc, inAdditionTo: Asserting.Assertions ← NIL] RETURNS [allTogetherNow: Asserting.Assertions];
GetOtherProc: PROC [key: ATOM, from: Asserting.Assertions] RETURNS [proc: Proc];
NewVertexClass:
PROC [vtp: VertexClassPrivate]
RETURNS [vt: VertexClass];
Just does the NEW.
NewGraphClass:
PROC [gp: GraphClassPrivate]
RETURNS [g: GraphClass];
Just does the NEW.
}.