Plot function

`fnplt(`

plots the
function in `f`

)`f`

on its basic interval.

If *f* is univariate, then:

If

*f*is scalar-valued,`fnplt`

plots the graph of*f*.If

*f*is 2-vector-valued,`fnplt`

plots the planar curve.If

*f*is*d*-vector-valued with*d*> 2,`fnplt`

plots the space curve given by the first three components of*f*.

If *f* is bivariate, then:

If *f* is a function of more than two variables, then
`fnplt`

plots the bivariate function, obtained by choosing
the midpoint of the basic interval in each of the variables other than the first
two.

The basic interval for *f* in B-form is the interval
containing *all* the knots. This means that
*f* is sure to vanish at the endpoints of the basic
interval unless the first and the last knot are both of full
multiplicity *k*, with *k* the order
of the spline *f*. Failure to have such full
multiplicity is particularly annoying when *f* is a
spline curve, since the plot of that curve as produced by
`fnplt`

is then bound to start and finish at the
origin, regardless of what the curve might otherwise do.

Further, since B-splines are zero outside their support, any function in B-form is zero outside the basic interval of its form. This is very much in contrast to a function in ppform whose values outside the basic interval of the form are given by the extension of its leftmost, respectively rightmost, polynomial piece.

`fnplt(`

permits you to modify the plotting by the specification of additional input
arguments. You can place these arguments in whatever order you like, from the
following list:`f`

,`symbol`

,`interv`

,`linewidth`

,`jumps`

)

A

*character vector*that specifies a plotting symbol, such as`'-.'`

or`'*'`

; the default is`'-'`

.A

*scalar*to specify the linewidth; the default value is`1`

.A

*character vector*that starts with the letter`'j'`

to indicate that any jump in the*univariate*function being plotted appears as a jump. The default is to fill in any jump by a (near-)vertical line.A

*vector*of the form`[a,b]`

, to indicate the interval over which to plot the`univariate`

function in`f`

. If the function in`f`

is*m*-variate, then this optional argument must be a cell array whose ith entry specifies the interval over which the*i*th argument is to vary. In effect, for this`arg`

, the command`fnplt(f,arg,...)`

has the same effect as the command`fnplt(fnbrk(f,arg),...)`

. The default is the basic interval of`f`

.An empty matrix or character vector, to indicate use of default(s). This option is useful when your particular choice depends on some other variables.

The `fnplt`

functions generates a vector `x`

of
evaluation points by the union of:

101 equally spaced sites filling out the plotting interval

Any breakpoints in the plotting interval.

Then `fnplt`

evaluates the univariate function
*f* described by `f`

at these
`x`

evaluation points. If *f* is real-valued,
it plots the points
(*x*,*f*(*x*)). If
*f* is vector-valued, it plots the first two or three
components of *f*(*x*).

The bivariate function *f* described by `f`

is
evaluated on a 51-by-51 uniform grid if *f* is scalar-valued or
*d*-vector-valued with *d* > 2 and the
result plotted by `surf`

. In the contrary case,
*f* is evaluated along the meshlines of a 11-by-11 grid, and
the resulting planar curves are plotted.