Generate long piecewise function

Question

Walter Biribicchi 2020-5-1

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回答： Image Analyst 2020-5-4

Hello,

I'm trying to implement a piecewise function in a for loop.

Basically I have a linear slope defined by two heights at the ends, and I want to discretize that slope into a piecewise function with an high number of member (10, 30, 100 or input-defined).

The best way I could think of was generating a string through a series of for loop (and a lot of num2str like functions) and copy-pasting it in the argument of a piecewise function, eg:

piecewise(0<=x<=0.16933,0.54111,0.16933<=x<=0.33867,......)

I'm sure there is a better way or a built-in fuction but cannot find anything

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Answer 1

Guru Mohanty 2020-5-4

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Hi, you want to get piecewise value of the slope between two heights. You can use interp1and gradientfunction for this. Here is a sample code for it.

clc;clear all;
 
t1=0;t2=10; % Define position of two heights 
height1=3;  % Define Values of Two Heights
height2=5;
n=500; % Set Number of Members
 
tnew=linspace(t1,t2,n);
y1=interp1([t1 t2],[height1 height2],tnew);
slope=gradient(y1,tnew);