Utilities

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Utilities

vx vy char size color plotG n vx length : plot vx 1 el vy 1 el char size color augment : i 2 n range plot plot vx i el vy i el char size color augment stack : for plot 41 line :

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

Create your own vector M n Vect n 1 ≡ M ct 1 : j 1 n range a ct 1 el M : ct ct 1 + : 21 line for v a 1 el : k 2 a rows range v v a k el stack : for v 51 line if :

interval(n,pivot) ... Strip(data)

Subdivide a range in 'n' intervals ... demo n pivot interval j 1 n 1 + (range h j el pivot - pivot j * + n / : for h 21 line :

data Strip v data 1 col : k 0 : i 1 data rows 1 - (range v i 1 + el v i el ≠ R k k 1 + : el v i el : 11 line End of strip if 11 line for 21 line V R v v rows el stack : V 41 line :

Add vertical/horizontal line in discrete graph

Unary spaced markers ... NOT stripped repeated '0' up dn locate λine clear previous u, v u 0 : v 0 : 12 mat j dn up range v j el j dn - : u j el locate : 21 line for v - v reverse stack u u stack 21 mat 21 line 31 line :

U 16 - 168 λine :

shift ± symmetric shift 0 :

mkrV U 2 el U 1 el augment : mkrH U 1 el U 2 el augment : 21 mat

alternate line/points

mkrV shift + mkrH shift + 0.25 x * ( 3 ^ 3 1 sys

xx 8 :

0.25 xx * (3^8

Markers populate ... piece composition

up 5 : dn 5 - : locate 4 : n 10 : shift 1.5 - : slide 2 : 16 mat mkr n up interval reverse n dn interval stack : mkr mkr Strip : Vmkr i 1 mkr rows range N i el 0 i * locate + : for N mkr augment 21 line : Hmkr Vmkr 2 col slide + Vmkr 1 col shift + augment : 51 sys

alternate ... lines/points

Vmkr 0.25 x * ( 3 ^ Hmkr 3 1 sys

Vmkr 11 mat 454 4.5 444 3.5 434 2.5 424 1.5 414 0.5 404 0.5 - 41 - 4 1.5 - 42 - 4 2.5 - 43 - 4 3.5 - 44 - 4 4.5 - 45 - 212 mat 11 mat

XY 454 4.5 444 3.5 434 2.5 424 1.5 414 0.5 404 0.5 - 41 - 4 1.5 - 42 - 4 2.5 - 43 - 4 3.5 - 44 - 4 4.5 - 45 - 212 mat :

XY rows 21

nodes XY 2 col : NodesLabel nodes var2str vectorize : X XY 1 col : Y XY 2 col : 12 mat n X rows : Graph nodes X Y augment : 51 line

label size

label color

nodes_label X Y NodesLabel 8 n Vect red n Vect augment : Ω X Y . 14 black plotG : 21 sys

plot Ω nodes_label x ln XY 61 sys :

plot

can be any invented values of same array length 5 4.5 4 3.5 3 2.5 2 1.5 1 0.5 0 0.5 - 1 - 1.5 - 2 - 2.5 - 3 - 3.5 - 4 - 4.5 - 5 - 121 mat transpose