For this test, you need to write two functions: polyNewton (X,Y) and interpNewton(a,x,x) vectors which contains the values to be interpolated. polyNewton (X,Y) returns a vector with s of the Newton's polynomial. interpNewton (a,x,x) uses the output of polyNewton and e the interpolated values at points contained in x. The twist is that you are allowed one and -loop in each function AND you are not allowed to allocate any extra memory aside from es the output in polyNewton, and y which stores the output in interpNewton (the dummy

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter6: Modularity Using Functions
Section6.4: A Case Study: Rectangular To Polar Coordinate Conversion
Problem 6E
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Question 1. For this test, you need to write two functions: polyNewton (X,Y) and interpNewton(a,x,x).
X and Y are vectors which contains the values to be interpolated. polyNewton (X,Y) returns a vector with
the coefficients of the Newton's polynomial. interpNewton (a, X,x) uses the output of polyNewton and
X to calculate the interpolated values at points contained in x. The twist is that you are allowed one and
only ONE for-loop in each function AND you are not allowed to allocate any extra memory aside from
a, which stores the output in polyNewton, and y which stores the output in interpNewton (the dummy
% Newton's Polynomial solver
X=sort(rand([10,1])*2*pi);
Y=sin(X);
%(X,Y) are the points to interpolate.
x=linspace(0,2*pi,200);
a=polyNewton(X,Y);
y=arrayfun(@(x) interpNewton(a,x,x), x);
function a=polyNewton(X,Y)
a=zeros(size(Y));
end
function y-interpNewton(a,x,x)
end
Transcribed Image Text:Question 1. For this test, you need to write two functions: polyNewton (X,Y) and interpNewton(a,x,x). X and Y are vectors which contains the values to be interpolated. polyNewton (X,Y) returns a vector with the coefficients of the Newton's polynomial. interpNewton (a, X,x) uses the output of polyNewton and X to calculate the interpolated values at points contained in x. The twist is that you are allowed one and only ONE for-loop in each function AND you are not allowed to allocate any extra memory aside from a, which stores the output in polyNewton, and y which stores the output in interpNewton (the dummy % Newton's Polynomial solver X=sort(rand([10,1])*2*pi); Y=sin(X); %(X,Y) are the points to interpolate. x=linspace(0,2*pi,200); a=polyNewton(X,Y); y=arrayfun(@(x) interpNewton(a,x,x), x); function a=polyNewton(X,Y) a=zeros(size(Y)); end function y-interpNewton(a,x,x) end
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