SymField

Property	Default	Meaning
f	—	(x, y) => vector sampling function
xlim	[-1, 1]	Horizontal sampling range
ylim	[-1, 1]	Vertical sampling range
xvals / yvals	Generated	Explicit grid coordinates
samples	11	Scalar count or { x, y } counts
scale	1	Multiplier applied to every vector
normalize	false	Normalize vectors before applying scale
head-size	px(5)	Arrowhead length for built-in arrows
head-width	1.3	Full arrowhead width divided by its length
head-curve	0	Barb curvature from 0 to 1, as in Arrow
head-open	false	Draw stroked barbs connected to the shaft tip
head-barb	"both"	Draw both barbs, or only "left" / "right" relative to each vector
head-style / head-*	—	Shared ArrowHead shape and paint options, as in Arrow
shape	—	Replacement Element or callback
shape-height	px(8)	Height allocated to replacement shapes
space	Automatic	Use ambient data coordinates or local geometry

Sample f(x,y) on a rectangular grid and draw it with Field. The result may be {x,y}, [x,y], or null. xlim/ylim default to [-1,1]; xvals/yvals provide explicit grid coordinates. samples defaults to 11 per axis or accepts {x,y} counts. All Field options are supported.

The grid has at most 100000 points, with generated counts at most 1000 per axis. Callbacks run once; zero/nonfinite vectors are omitted. Choose scale to keep arrows near their cells, and explicit Plot limits when arrow endpoints should not expand the viewport.