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# champ

2D vector field plot

### Syntax

champ(x, y, fx, fy, [arfact, rect, strf]) champ(x, y, fx, fy, <opt_args>)

### Arguments

- x, y
two vectors which define the grid.

- fx
a matrix which describes the x component of the vector field.

`fx(i,j)`

is the x component of the vector field at point`(x(i),y(j))`

.- fy
a matrix which describes the y component of the vector field.

`fy(i,j)`

is the y component of the vector field at point`(x(i),y(j))`

.- <opt_args>
This represents a sequence of statements

`key1=value1, key2=value2`

,... where`key1`

,`key2`

,... can be one of the following:`arfact`

,`rect`

,`strf`

(see below).- arfact
an optional argument of type

`real`

which gives a scale factor for the display of the arrow heads on the plot (default value is`1.0`

).- rect
a vector

`rect=[xmin, ymin, xmax, ymax]`

which gives the boundaries of the graphics frame to use.- strf
a string of length 3 "xyz" which has the same meaning as the

`strf`

parameter of`plot2d`

. The first character`x`

has no effect with`champ`

.

### Description

`champ`

draws a 2D vector field. The length of
the arrows is proportional to the intensity of the field.

If you want colored arrows with the color of the arrows depending on
the intensity of the field, set `gce().colored = "on"`

.

Enter the command `champ()`

to see a demo.

Be cautioned about the fact that using meshgrid function before
using `champ`

requires adjustment. For more details, see the last example below.

### Examples

// using rect as plot boundaries champ(-5:5,-5:5,rand(11,11),rand(11,11),rect=[-10,-10,10,10],arfact=2)

### See also

- fchamp — direction field of a 2D first order ODE
- xarrows — draw a set of arrows in 2D or in 3D.
- Arrowed polyline — description of the Polyline entity properties

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