MATLAB

MATLAB CODE

Problem2

Part b

% test linspline function

x = [-4 -2 0 1 3 5];

y = [-2 3 -1 0 4 2];

a = -4.5 + randi([1,8],1,1);

ys1 = linspline(x,y,a);

x = [-4 -2 0 1 3 5];

y = [-2 3 -1 0 4 2];

a = -4 + 9*randi([0,1],1,1);

ys2 = linspline(x,y,a);

n = randi([10,15]);

a = randi([-20,-15]);

b = a + 30;

i = n:-1:1;

x = (a+b)/2 + (b-a)/2.*cos( (2.*i - 1).*pi./(2*n));

y = randi([-10,10],1,n);

a = -1+rand;

ys3 = linspline(x,y,a);

solution

function s = linspline(x,y,a)

if a==x(end) %if a is the last x value, %then return the corresponding y value s=y(end); else k=1; while ~(a>=x(k) && a<=x(k+1)) k=k+1; end s=y(k)+(y(k+1)-y(k))*(a-x(k))/(x(k+1)-x(k)); end end

Part c

%test sine here

x = 500*rand(1)+100;

ysin1 = sine(x);

x = -500*rand(1)-100;

ysin2 = sine(x);