Gridding for Interpolation
Spiner performs interpolation on uniform, Cartesian-product
grids. There is a lower-level object, RegularGrid1D
which contains
the metadata required for these operations. RegularGrid1D
has a
few useful userspace functions, which are described here.
Construction
A RegularGrid1D
requires three values to specify an interpolation
grid: the minimum value of the independent variable, the maximum value
of the independent variable, and the number of points on the
grid. These are passed into the constructor:
-
RegularGrid1D::RegularGrid1D(Real min, Real max, size_t N);
Default constructors and copy constructors are also provided.
Mapping an index to a real number and vice-versa
The function
-
Real RegularGrid1D::x(const int i) const;
returns a “physical” position on the grid given an index i
.
The function
-
int index(const Real x) const;
returns the index on the grid of a “physical” value x
.
The function
-
Real min() const;
returns the minimum value on the independent variable grid.
The function
-
Real max() const;
returns the maximum value on the independent variable grid.
The function
-
Real dx() const;
returns the grid spacing for the independent variable.
The function
-
Real nPoints() const;
returns the number of points in the independent variable grid.
Developer functionality
For developers, additional functionality is available. Please consult the code.