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Subtracting polynomial from piecewise polynomial

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Nathan Mu
Nathan Mu 2022-4-12
回答： Bruno Luong 2022-4-12
Hello, I have a piecewise polynomial and I want to subtract from it. How would I go about doing this?
Thanks!
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Riccardo Scorretti
Riccardo Scorretti 2022-4-12
Hi Nathan, could you post part of your code? You have a polynomial in which format? Coefficients only? Symbolic?

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Bruno Luong
Bruno Luong 2022-4-12
Ran in:
x=cumsum(rand(1,5));
x = x-mean(x);
% Test pp
y=rand(size(x));
pp=spline(x,y);
% Here is ppsubx2 a pp-form of pp-x^2
x0=pp.breaks(1:end-1)';
ppsubx2=pp;
ppsubx2.coefs = ppsubx2.coefs - [zeros(ppsubx2.pieces,ppsubx2.order-3), ones(size(x0)), 2*x0, x0.^2];
% Check
xi = linspace(min(x),max(x));
figure
plot(xi, ppval(pp,xi)-xi.^2, 'b', xi, ppval(ppsubx2,xi), 'r+');

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