In fact, if I was trying to use my straightline function with some other code that required lines to be defined by slope and intercept first, and then the abscissa, I can easily create a new interface for the line. I could also use it to create a function of just slope and intercept, suitable for create line segments for different parameters at a later time. In the first case, I turned my function of 3 variables into a function of one variable, with preset parameters. Using the same original function definition for straightline, I am able to mold the function for different purposes. Newline2 = straightline(X, slp(2), intcpt(2)) Īnonymous Functions Allow Interface Flexibility How to convert Matlab function with interp1 using two arrays and reference, to Python with interp1d. Newline1 = straightline(X, slp(1), intcpt(1)) I can even get the values put into a slopeIntercept = straightline(data, slope, intercept) In that case, with data supplied, I can derive such a function from straightline. Perhaps I instead want a function of the slope and intercept only. The syntax for chebfuns is almost exactly the same as the usual MATLAB syntax for vectors. Now compare estimates for slope and intercept to original values. A chebfun is a function of one variable defined on an interval a,b. Now I want slope and intercept to be my independent variables. m = 2 ĭata = straightline(t,m,b) + 0.2*randn(size(t)) And we would like to estimate the slope and intercept values. Now suppose we have data, based on this line segment, that has some noise. myarea = integral(myline, lowerlimit, upperlimit) Use this new function, myline, as the integrand. lowerlimit = 2 Ĭreate a function representing my particular line segment, by fixing those slope and intercept values, and creating a new function from the original one. Since the function integral requires the integrand to be a function of one variable only, we can use the anonymous function myline, defined below, to create just such a representation. Now let's find the area under a segment of this line, between two points. Now I can evaluate my function when I create the plot. I start by defining the slope and intercept values. straightline = slope*X + interceptįirst let's choose a particular straight line segment. Here's a very general way I can write the code meant to generate points on a straight line. Have You Used Anonymous Functions to Alter the Interface?.Cleve Moler (aka The Guy Who Wrote MATLAB) also has a Lagrange. Firstly, of course, interp1 is a standard MATLAB function, with options for linear, cubic spline, and PCHIP interpolation. Anonymous Functions Allow Interface Flexibility yy lagrange (xx,x,y) plot (x,y,'o',xx,yy,'.') As an aside, with no offense intended to Calzino, there are other options available for interpolation.Values for variables, instead of using problem parameters. Modify the previous example to create the same fits using workspace Observe the specified c constants % do not make a good fit. % Call fit again and specify a different value of c, % to get a new fit.į2 = fit( xdata, ydata, g, 'problem', 1, 'start', ) % Note: Specify start points in the calls to fit to % avoid warning messages about random start points % and to ensure repeatability of results. Observe that c is an argument.į1 = fit( xdata, ydata, g, 'problem', 0, 'StartPoint', ) % Create a fittype that has a problem parameter.
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