📄 mmppint.m
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function ppi=mmppint(pp,c)
%MMPPINT Cubic Spline Integral Interpolation.
% PPI=MMPPINT(PP,C) returns the piecewise polynomial vector PPI
% describing the integral of the cubic spline described by
% the piecewise polynomial in PP and having integration constant C.
if prod(size(c))~=1
error('C Must be a Scalar.')
end
[br,co,npy,nco]=unmkpp(pp); % take apart pp
sf=nco:-1:1; % scale factors for integration
ico=[co./sf(ones(npy,1),:) zeros(npy,1)]; % integral coefficients
nco=nco+1; % integral spline has higher order
ico(1,nco)=c; % integration constant
for k=2:npy % find constant terms in polynomials
ico(k,nco)=polyval(ico(k-1,:),br(k)-br(k-1));
end
ppi=mkpp(br,ico); % build pp form for integral
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