c9e1b072-d99d-4b43-9902-a996aa1295d3 27 3 5 decimal

&[DATE] &[TIME] - &[FILENAME]

Create "scatter vectors"

Scatter vectors are commonly encountered in Mathcad. Used mostly to plot low populated 3D, with optional plot interpolation. Useful/not useful in Smath ?

Program to create the "Scatter xyz" Mathcad style X Y Z x0 x1 y0 y1 u v Sr count 1 : i 1 u range j 1 v range x x0 i 1 - (u 1 - / x1 x0 - (* + : y y0 j 1 - (v 1 - / y1 y0 - (* + : XYZ 1 count el x y X x y Y x y Z 31 mat : count count 1 + : 41 line for for XYZ transpose 31 line :

t0 1 time :

x y f 255 x 2^y 2^+ (0.125 / - exp * :

u v X u : u v Y v : u v Z u v f : 31 line

data Unest v data 1 el : j 2 data rows range v v data j el stack : for v 31 line :

x0 1 - : x1 1 : y0 1 - : y1 1 : u 20 : v 20 : 16 mat XYZ X Y Z x0 x1 y0 y1 u v Sr : data XYZ : xyz data Unest : 41 line

1 time t0 - min 0.7

'grid' is independent of Z(u,v) grid xyz 1 col xyz 2 col augment :

x f 0.1 x 0.001 + / :

plot x 1 - 1 0.995 - range : i 1 x rows range y i el x i el f : for x y augment 31 line :

X 0.25 :

X f 0.398

Discrete plot over grid [u,v]

grid plot X X f + 20 green 1 5 mat 3 1 sys

V r c Pack i 1 r range v i el V i el : for j 1 c 1 - (range i 1 r range i r j * + V rows ≤ m i j el V i r j * + el : m i j el 0 : if for for v m augment 31 line :

M xyz 3 col u v Pack :

iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAIAAAAC64paAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADjSURBVDhPzdKxDYNQDARQAkRIFEjpaGjoUrIEE2QYtsggrJJtskCe/kcUSQCJpOAqn31n+xuSg+H0gamwDro0TbMsy/P8HCBAJTdaRCdDWZZVVV0CBKjkmj86i6Kgruu6bdtrgACVVFr0x5lETdN0Xdf3/S1AgEoqxfmTYYZ+HmY9Q0h5hmG4BwhQSSUCsvfhuMPobUmjGMZxfAQIUEklArIvZis5j0eaYyDbM0CASioRkP3b/NPa+w8G+z8V6Kew8yeB6NfeetTOAwI0zlx0RkS/hzkMAwjQbecMujdMhWMgSV59M2it6G2uYQAAAABJRU5ErkJggg== M iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAIAAAAC64paAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADjSURBVDhPzdKxDYNQDARQFsg2WYVBsgXDZAKWoExHQ0MXiQIJBUie/kcUSQCJpOAqn31n+xuSg+H5gamwDrpxHIdh6Pv+ESBAJTdaRCdD27ZN09wDBKjkmj86u66jruu6LMtbgACVVFr0x5lEVVUVRZHn+TVAgEoqxfmTYYZ+HmY9Q0h5siy7BAhQSSUCsvfhuMPobUmjGNI0PQcIUEklArIvZis5j0eaYyDbKUCASioRkP3b/NPa+w8G+z8V6Kew8yeB6NfeetTOAwI0zlx0RkS/hzkMAwjQbecMujdMhWMgSV7DZwdzh7nsEAAAAABJRU5ErkJggg== M -

This is NOT the appropriate way to plot the Gausian spot. It results, only.