Write a function that takes a recipe and a coefficient and return a string descr

Question

Write a function that takes a recipe and a coefficient and return a string describing the adjusted recipe. The input recipe is given as a cell array where each row describes one type of ingredient; first column containing a numerical amount, second column containing the units, and third column containing the name of the ingredient. The output should be a string describing the recipe. See the example below. The ingredients should be separated by a comma and space and should end with a period. If an amount is not an integer, show it using 2 decimal places.

Matlab Programming

Explanation / Answer

function slm = hermite2slm(harray)
% hermite2slm: converts an array of coefficients in Hermite form to a slm
% usage: slm = hermite2slm(harray)
%
% arguments: (input)
% harray - nx2 or nx3 array of coefficients
% harray(:,1) == knots
% harray(:,2) == function values
%
% and if they are present:
% harray(:,3) == first derivatives
%
% If additional columns, they define the
% higher order derivatives of a (2*k-3)
% degree hermite interpolant.
%
% The knots (or breaks) must be an increasing
% sequence of numbers, or the spline will be
% a problem to evaluate in an SLM form.
%
% arguments: (output)
% slm - slm struct, usable by slmeval and plotslm
%
%
% See also: slmset, slmengine, slmeval, ppval, slmfit, plotslm
%
%
% Author: John D'Errico
% E-mail: woodchips@rochester.rr.com
% Release: 1.0
% Release date: 2/6/07

[n,k] = size(harray);

% check that the knots are sorted in increasing order
% if not, then the spline will fail eventually.
if any(diff(harray(:,1)) <= 0)
error('HERMITE2SLM:nonmonotonic','Knots were non-monotonic')
end

% create the basic struct
slm.form = 'slm';
slm.knots = harray(:,1);

% we don't know how it was created
slm.prescription = [];
% nor what it was derived from
slm.x = [];
slm.y = [];

if k == 2
% linear Hermite
slm.degree = 1;
slm.coef = harray(:,2);
  
elseif k == 3
% cubic Hermite
slm.degree = 3;
slm.coef = harray(:,2:3);
  
elseif k > 3
% quintic Hermite or higher
slm.degree = 2*k-3;
slm.coef = harray(:,2:end);

else
error 'harray is not in my Hermite standard form'
end

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