Documentation of the Grid Category Components -- Vertex Grid Geometry Concept

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Vertex Grid Geometry Concept

Description

The Vertex Grid Geometry concept is the weakest grid geometry concept. It simply provides a mapping from grid vertices to points in some space.

The Mutable Vertex Grid Geometry concept allows in addition the assignment of vertex coordinates.

Geo is a type which is a model of Vertex Grid Geometry
g is an object of type Geo
v, v1, v2 are objects of a type V which is a model of Grid Vertex.
q is an object of Geo::coord_type

Definitions

Associated types


Name	Expression	Description
grid type	`Geo::grid_type`	underlying grid type, model of Vertex Grid Range.
point type	`Geo::coord_type`	the geometric point type, representation of the elements of the topological space where the geometry lives model of STL Assignable.

Valid Expressions


Name	Expression	Type requirements	return type
get vertex coordinates	q = g.coord(v)		`coord_type const&`
set vertex coordinates	g.coord(v) = q	`Geo` is mutable	`coord_type &`

Expression semantics


Name	Expression	Precondition	Semantics	Postcondition
coordinate read access	`q = g.coord(v)`	`v` is valid	if `v1 == v2` then `g.coord(v1)` is the same asX `g.coord(v2)`
coordinate write access	`g.coord(v) = q`	`v` is valid	set the coordinate of `v` to `q`	`g.coord(v)` is equal to `q`

Invariants

Refinements

Volume Grid Geometry

Models

IstreamComplex2DFmt

Notes

In general, the type Geo::coord_type will not be a model of STL Equality Comparable, because this is normally not useful for floating point values.