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Ploting a step function following the convention under https://en.wikipedia.org/wiki/Step_function

Reference: https://community.ptc.com/t5/PTC-Mathcad/Plotting-steps/td-p/582173

Area under study

t.0 0 :

t.f 30 :

y.0 0 :

y.f 30 :

Discretize the domain

η 1000 :

Δt t.f t.0 - η / :

r 1 :

... and the codomain

Δy 0.1 :

Disconts

DT k 0 : t 1 el t.0 : 12 mat j 2 η range t j el t j 1 - el Δt + : t j el f t j 1 - el f - abs Δy > T k k 1 + : el t j el r round : T k el f T k el Δt - f ≡ To k el T k el Δt + : To k el T k el Δt - : if 21 line 0 if 21 line for T To 12 mat eval 31 line :

A step function

t f 12 t ∞ - 5 ltlt (* 8 t 58 lelt (* + 15 t 815 lele (* + 5 t 1517 ltlt (* + 26 t 1718 lelt (* + 2 t 1820 lelt (* 22 t 20 ≡ (* + 5 t 2025 ltle (* + 20 t 2526 ltle (* + 9 t 26 ∞ ltle (* + + :

T To 1 2 mat DT : T T f vectorize . 24 red augment x f To To f vectorize o 12 green augment 3 1 sys 2 1 line

Alvaro