I am working on an estimation problem in wish I need to generate a plot of the following function ( a cubic spline K0 = -3): I have tried your code to some other similar functions like the one you have, and it works very well, except for the one that I have to do regarding my project. I highly appreciate the fact that you took your time to write such a nice program for graphing piecewise functions. You can leave a response, or trackback from your own site.Ĥ3 Responses to “Piecewise functions in matlab” ![]() You can follow any responses to this entry through the RSS 2.0 feed. This entry was posted on Tuesday, June 15th, 2010 at 4:00 pm and is filed under code. Note: The polynomial above is from Higher Order Barycentric Coordinates by Torsten Langer and Hans-Peter Seidel. But I think the presentation is very nice and is easily broken up if need be. ![]() I guess this method is somewhat risky in the sense that if you mess up your logicals or inequalities the addition could sum up erroneous values without recognizing the error. Multiplied against the value for the condition and added to the next gives the correct solution. This works because the conditions in matlab are now logicals that return a vector the same size as x, with 1’s if the condition was true and 0’s otherwise. Say you have the piecewise polynomial, m, defined as: But here’s a handy conversion from a math formula to matlab. Here we discuss the Methods of using Piecewise Function in Matlab with various statements and examples.Not the most difficult thing to do by any means. This is a guide to Piecewise Function in Matlab. And the vectorized approach used in many applications. But, the if-else (loop) approach not used for real-time implementations. As we see above there are three approaches to represent piecewise functions. Piecewise functions are mainly used to represent functions that have various input ranges with different conditions. Matlab programĬonclusion – Piecewise Function in Matlab This shows that x will take the values from – 5 to + 5. Now, as the ranges are known we need to declare the total range of input variable ‘ x’. In the above example as we know there are two conditions, therefore, we need to define two ranges. Now we will illustrate the above example by using the vectorize approach, First, we need to declare piecewise function like the above examples.Īfter declaring the piecewise function we will define ranges of input variable ‘ x ’. This is the most popular method in piecewise functions. In this method, the input is the whole vector of sequences(conditions) as well as we can combine two conditions by using ‘ & ’ operator. This method is the second approach of piecewise functions without using loops. The above statements represent ranges of x and respective expected function values. ![]() Now inside the switch, there will be different cases, our requirement is only cases so we will write 2 cases. The above statement is the keyword for the switch case for changing values of variable ‘ x’. The above statements show f x is piecewise function concerning input variable ‘ x’, after declaring the function we will start with the switch statement. To implement the above example by using the switch – case statement first, we need to declare the function statement ( piecewise function). In this example there are two conditions in function f x, one is less than equal to ‘ 0 ’ and the other one is greater than ‘ 0’. In this method we represent different conditions in different methods, we can specify multiple cases in one switch loop. The second method in loops is driven by switch-case statements. it shows that if the value of x is less than or equal to ‘ 0 ’ then out will be ‘ – 2 ’ and if the value of ‘ x ’ is more than ‘ 0 ’ then the output will be ‘ 2’. In above statements if-else statement is used to define the range. In the above statement ‘ f x ’ is the name of the output variable, ‘ piecewise ’ is keyword used for the above function and ‘ x ’ is the input variable.Īfter declaring function now we need to define the conditions of ranges of input variable ‘ x’. To implement the above function in Matlab first we need to create one function with keyword ‘ piecewise ’ Plot ( input variable, output variable )įunction output variable = piecewise ( input variable ) This is one of the basic terminologies to implement piecewise functions but, this is not a good practice to implement piecewise function. ![]() The vectorized method By using If-Else statements In second method function represent in vectorize wayģ.
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