In Matlab you can declare an anonymous function and pass it to another function.
[y] = someFunction(#(x) x.^2 , [a bunch of numbers]);
I'd like to do something similar on my TI-89 calculator. I have a function that takes a "math-function" as one of its arguments and I'm trying to do it like this:
myfunction(3/x,1,2)
and my function looks something like this:
myfunction(f,xl,xu)
Func
local a,b
f(xl)→a
f(xu)→b
Return [a,b]
EndFunc
I know I can input my functions in the "y=" editor and then access them inside the function but I would really like to be able to input the math-function directly as an argument. How can I do this?
The builtin expr function in TI-BASIC can be used to turn a string into an expression. Here's how to implement your function this way:
myfunction(f,xl,xu)
Func
Local a,b,x
xl→x
expr(f)→a
xu→x
expr(f)→b
Return [a,b]
EndFunc
The call to your function will be myfunction("3/x",1,2). Be sure to enclose the definition of f in double quotes so it is treated as a string.
"TI-89 BASIC does not have first-class functions; while function definitions as stored in variables are fully dynamic, it is not possible to extract a function value from a variable rather than calling it. In this case, we use the indirection operator #, which takes a string and returns the value of the named variable, to use the name of the function as something to be passed."
http://rosettacode.org/wiki/Higher-order_functions#TI-89_BASIC
Related
I'm working on a MATLAB app that programatically creates anonymous functions to evaluate any native MATLAB function and pass it a list of variables as argument. In the example below, 'formula' contains a string with the function and arguments to be evaluated (e.g., "sum( var1, var2 )" ). The formulas sometimes contain function calls nested within function calls, so the code below would be used recursively until obtaining the final result:
Func2 = str2func( sprintf( '#(%s) %s', strjoin( varNames, ',' ), formula ) );
This evaluates fine for native MATLAB functions. But there's a particular case of a function (named Func1) I made myself that not only needs the list of variables but also an object as argument, like this:
function output = Func1( anObject, varNames )
% do some stuff with the object and the vars
end
For this particular function, I've tried doing this:
Func2 = str2func( sprintf( '#(%s,%s) %s', "objectToPassToFunc1", strjoin( varNames, ',' ), "Func1(objectToPass,""" + strjoin( varNames, '","' ) +""")" ) )
...which doesn't throw an error, but Func1 doesn't receive the objectToPassToFunc1, instead it gets values from one of the variables in varNames. And I don't know why.
So how can I correctly pass the object to Func1????
Matlab doesn't care about the type of arguments you pass to a function. As a matter of fact, the input could be scalar, vector, matrix, and even an object of a class. See the following example.
classdef ClassA
methods
function print(~)
disp('method print() is called.');
end
end
end
This class has only one method. Now, let us define an anonymous function func which accepts one input.
func = #(arg) arg.print;
Notice that we explicitly assume that the input is an object of ClassA. If you pass another type of data to this function, Matlab will throw an error. To test the code,
obj = ClassA;
func = #(arg) arg.print;
func(obj)
To avoid the error, you may need to check the type of the input before using it. For example,
function [] = func(arg)
% check if arg is an object of ClassA
if isa(arg,'ClassA')
arg.print;
end
end
Now you can pass different types for the input without getting an error.
I am trying to create a Lua function "on the fly", from within another function. The new Lua function, to be called "fx", should operate on a scalar variable -- say, x -- and return f_x(x), where f_x(x) could be something such as "x+1" or "x^2". Importantly, the function name "fx" is given (as it will be used, with this name, from within other functions), but its properties -- specifically, whether it returns "x+1" or "x^2" -- should be modifiable dynamically.
Suppose that "x" is the scalar-valued input variable and that "y" is a string that contains an instruction, such as "x+1" or "x^2", that "fx" is supposed to impose on "x". I've naively tried
function make_func (x,y)
return ( function fx(x) return y end )
end
but that doesn't work.
Any help and guidance will be greatly appreciated!
It's not clear how "fx" is supposed to enter the picture, but if you have a string that contains potentially executable Lua code (a Lua expression which would compile if done so in a context where "x" exists), then this seems to be a simple case of building a string from bits of Lua code and executing it:
function make_func (x, lua_op)
return dostring("return function(x) return " .. lua_op .. " end")
end
This requires lua_op to store a string which is a legitimate Lua expression.
If you want to store the function in the global variable "fx", you can do that before returning it:
function make_func (x, lua_op)
fx = dostring("return function(x) return " .. lua_op .. " end")
return fx
end
So here's what I want, I have a function: f(x,t)=... where x is the "true" variable and t is a parameter. However, I need to use this function as a parameter in the Calculus package's derivative. This function requires a function with only one parameter. For this what I thought off was to redefine a method f(x)=f(x,t) where I fix the t parameter before passing it to the derivative function. This has to be done within another function.
However, doing this literally returns this error :
syntax: cannot add method to function argument f
I believe due to variable scope issues you should simply select a different name for your new function. You can also use anonymous functions instead of named definitions.
function foo(t_val)
newf(x) = f(x, t_val)
derivative(newf, otherparams...)
end
With anonymous functions,
function foo(t_val)
derivative(x -> f(x, t_val), otherparams...)
end
You can also assign anonymous functions to variables and use the variables as a function.
function foo(t_val)
newf = x -> f(x, t_val)
derivative(newf, otherparams...)
end
I'm trying to create a function with local functions within it. The main function would receive an output from an outside source, and the functions within it would be required to translate that input and return results for later use. My problem is that the way I am currently attempting this, when I try to put in my first local function inside the main function, I continue to get nil. Here is an example:
function stats(input)
height, weight, name, age, gender, relate = string.match(input, "(%d*)ft,(%d*)lbs,(%w*),(%d*),(%u*),(%u)")
if name then
function nameInit(relate)
relateTable = {["F"] = "Friend", ["R"] = "Relative"}
for k,v in pairs (relateTable) do
if relate == k then
relship = v
return relship
end
end
end
end
person = name.." is "..age.." years old, weighs "..weight.." and blah blah blah....
return person
end
print (stats("5.8ft, 160lbs, Mike Scott, 19, M, F"))
Obviously, this subject isn't practical but what I'm trying to do is along the same lines in terms of end response. I'm currently getting lua: filename: attempt to concatenate global 'relship' (a nil value)? I can get the response I want without the nested function. But when I try to elaborate more on the response I would like to receive, and place that function inside the global function, I begin to get these response(s). This seems to be my problem anytime I attempt to use functions within other functions. I can make two separate global functions and print results from either one. But the minute I try to use one within another, I screw myself up. Anyone who can take some time to help a beginner better understand what he is doing wrong would be great! Thanks all.
Based on your statement "the functions within it would be required to translate that input and return results for later use", I'm not sure that nested functions is what you want. You say that when you have two global functions your code works:
function func1(args)
...
end
function func2(args)
...
end
but when you nest (for example) func1 inside func2, it no longer works. Lua does allow you to define nested functions, but I can only think of two reasons to use them:
to return a function that encapsulates a task, usually with some of the wrapper function's args and/or locals as upvalues.
to encapsulate some logic in a function to be called from within the wrapper function, with no need for any other functions to call it.
For example of case 1:
function func2(a, b, c)
function func1()
do something with a, b, c eventhough they are not args of func1
return result
end
return func1
end
someFunc = func2(1,2,3)
....
result = someFunc() -- calls func1 created inside func2, using 1,2,3
For example of case 2:
function func2(a, b, c)
function func1()
do something with a, b, c eventhough they are not args of func1
return result
end
result = func1()
...
end
func2(1,2,3)
You could also add a nested function to a table object (class) passed as argument, but I see this as a variation on case 1.
Say I have a VBA function with an optional argument. Is there a way to tell, from within that function, whether the calling code has supplied the optional argument or not?
Public Function SomeFunction(optional argument as Integer = 0) As Integer
End Function
i.e. Is there a way to tell the difference between the following calls?
x = SomeFunction()
x = SomeFunction(0)
As far as I am aware it is not possible. If no argument is passed then the argument is initiliazed to its default value (0 in this case).
One way around this is to change the variable type to Variant and use the IsMissing function to check whether an argument is passed or not. Example:
Public Function SomeFunction(Optional argument As Variant) As Integer
If IsMissing(argument) Then
argument = 0
Else
// Code if argument not = 0....
End If
End Function
The IsMissing function works only with the Variant data type as any other data type will always have a default initialization value.
No, there is not.
The same problem exists in other language, such as C#, as expressed clearly in "C# In Depth", Chapter 13.1.1 (I read this part 15mins ago, it's normal I remember this!)
What I suggest you is not to set the default value in the function declaration. In the function, if argument is null, you set it to 0 and you know it wasn't supplied in the function call.
Edit : Just like #Remnant said in his answer, to be able to do this, the parameter type needs to be a variant.