'Auxiliary' function in Haskell - function

My lecturer at the moment has a strange habit I've not seen before, I'm wondering if this is a Haskell standard or a quirk of his programming style.
Basically, he'll often do thing such as this:
functionEx :: String -> Int
functionEx s = functionExA s 0
functionExA :: String -> Int -> Int
functionExA s n = --function code
He calls these 'auxiliary' functions, and for the most part the only advantage I can see to these is to make a function callable with fewer supplied arguments. But most of these are hidden away in code anyway and in my view adding the argument to the original call is much more readable.
As I said, I'm not suggesting my view is correct, I've just not seen it done like this before and would like to know if it's common in Haskell.


Yes, this is commonplace, and not only in functional programming. It's good practice in your code to separate the interface to your code (in this case, that means the function signature: what arguments you have to pass) from the details of the implementation (the need to have a counter or similar in recursive code).
In real-world programming, one manifestation of this is having default arguments or multiple overloads of one function. Another common way of doing this is returning or taking an instance of an interface instead of a particular class that implements that interface. In Java, this might mean returning a List from a method instead of ArrayList, even when you know that the code actually uses an ArrayList (where ArrayList implements the List interface). In Haskell, typeclasses often serve the same function.
The "one argument which always should be zero at the start" pattern happens occasionally in the real world, but it's especially common in functional programming teaching, because you want to show how to write the same function in a recursive style vs. tail-recursive. The wrapper function is also important to demonstrate that both the implementations actually have the same result.
In Haskell, it's more common to use where as follows:
functionEx :: String -> Int
functionEx s = functionExA s 0 where
functionExA s n = --function code
This way, even the existence of the "real" function is hidden from the external interface. There's no reason to expose the fact that this function is (say) tail-recursive with a count argument.


If the special case definition is used frequently, it can be an advantage to do this. For example, the sum function is just a special case of the fold function. So why don't we just use foldr (+) 0 [1, 2, 3] each time instead of sum [1,2,3]? Because sum is much more readable.

Related

Different ways to define a function in Kotlin

I'm new at Kotlin, migrating from Java. One thing I think is a little bit confusing is the fact we may declare a function using different ways. Bellow are at least 3 ways to accomplish that:
package me.bruno.santana
class MyClass {
fun square(number: Int) = number * number
fun square2(number: Int): Int{
return number * number
}
}
fun MyClass.square3(number: Int) = number * number
fun main(){
val obj = MyClass()
println(obj.square(3))
println(obj.square2(3))
println(obj.square3(3))
}
What is the difference between this 3 ways in practical terms? I know the last one is related to extension funcion concept, but I don't know what it differs from the conventional way in practical terms.
Another thing is weird for me is the assignment in the function definition(using equals sign to associate the function's body to the function's signature). Is it in any way different from the convetional way using curly braces as in Java?
Thank you.

1. This is single expression function:
When a function returns a single expression, the curly braces can be omitted and the body is specified after a = symbol
Explicitly declaring the return type is optional when this can be inferred by the compiler:
fun square(number: Int) = number * number
2. This is normal function
That can have single-line or multi-lines and required return type (but Unit is optional):
fun square2(number: Int): Int {
return number * number
}
3. This is Extension functions:
Kotlin provides the ability to extend a class with new functionality without having to inherit from the class or use design patterns such as Decorator.
Extensions are resolved statically: Extensions do not actually modify classes they extend. By defining an extension, you do not insert new members into a class, but merely make new functions callable with the dot-notation on variables of this type
Often used to write utility functions and enhance readability via dot-notation.
If an extension is declared outside its receiver type, such an extension cannot access the receiver's private members.
fun MyClass.square3(number: Int) = number * number

To add something about extension functions: there are four common reasons to use them that I can think of.
You don't control the source code of the class you're adding the function to.
You want to add functions only to specifically typed instances of a class. For example, you could write a function for your Foo<T: Animal> class that is only available on instances that are a Foo<Pet>.
You want to add something like a final function to an interface. This is used frequently in the standard library. If you define a function inside an interface, its behavior is unpredictable because interface functions cannot be final. By declaring it outside the interface as an extension, it can be hidden (by writing a different extension function with the same signature), but it cannot be overridden. Hiding it still requires the user to import the other version of the function, so it must be done explicitly.
You want to confine the scope of the added function. Maybe the function only really makes sense in a certain context, so you don't want it to clutter the IDE auto-complete everywhere. Or maybe it uses a property of a certain class, so it must be defined within that class.
When you're just composing one of your own typical classes, you won't frequently need to use an extension function.

In OOP, is function same things as a method? [duplicate]

Can someone provide a simple explanation of methods vs. functions in OOP context?

A function is a piece of code that is called by name. It can be passed data to operate on (i.e. the parameters) and can optionally return data (the return value). All data that is passed to a function is explicitly passed.
A method is a piece of code that is called by a name that is associated with an object. In most respects it is identical to a function except for two key differences:
A method is implicitly passed the object on which it was called.
A method is able to operate on data that is contained within the class (remembering that an object is an instance of a class - the class is the definition, the object is an instance of that data).
(this is a simplified explanation, ignoring issues of scope etc.)

A method is on an object or is static in class.
A function is independent of any object (and outside of any class).
For Java and C#, there are only methods.
For C, there are only functions.
For C++ and Python it would depend on whether or not you're in a class.
But in basic English:
Function: Standalone feature or functionality.
Method: One way of doing something, which has different approaches or methods, but related to the same aspect (aka class).

'method' is the object-oriented word for 'function'. That's pretty much all there is to it (ie., no real difference).
Unfortunately, I think a lot of the answers here are perpetuating or advancing the idea that there's some complex, meaningful difference.
Really - there isn't all that much to it, just different words for the same thing.
[late addition]
In fact, as Brian Neal pointed out in a comment to this question, the C++ standard never uses the term 'method' when refering to member functions. Some people may take that as an indication that C++ isn't really an object-oriented language; however, I prefer to take it as an indication that a pretty smart group of people didn't think there was a particularly strong reason to use a different term.

In general: methods are functions that belong to a class, functions can be on any other scope of the code so you could state that all methods are functions, but not all functions are methods:
Take the following python example:
class Door:
def open(self):
print 'hello stranger'
def knock_door():
a_door = Door()
Door.open(a_door)
knock_door()
The example given shows you a class called "Door" which has a method or action called "open", it is called a method because it was declared inside a class. There is another portion of code with "def" just below which defines a function, it is a function because it is not declared inside a class, this function calls the method we defined inside our class as you can see and finally the function is being called by itself.
As you can see you can call a function anywhere but if you want to call a method either you have to pass a new object of the same type as the class the method is declared (Class.method(object)) or you have to invoke the method inside the object (object.Method()), at least in python.
Think of methods as things only one entity can do, so if you have a Dog class it would make sense to have a bark function only inside that class and that would be a method, if you have also a Person class it could make sense to write a function "feed" for that doesn't belong to any class since both humans and dogs can be fed and you could call that a function since it does not belong to any class in particular.

Simple way to remember:
Function → Free (Free means it can be anywhere, no need to be in an object or class)
Method → Member (A member of an object or class)

A very general definition of the main difference between a Function and a Method:
Functions are defined outside of classes, while Methods are defined inside of and part of classes.

The idea behind Object Oriented paradigm is to "treat" the software is composed of .. well "objects". Objects in real world have properties, for instance if you have an Employee, the employee has a name, an employee id, a position, he belongs to a department etc. etc.
The object also know how to deal with its attributes and perform some operations on them. Let say if we want to know what an employee is doing right now we would ask him.
employe whatAreYouDoing.
That "whatAreYouDoing" is a "message" sent to the object. The object knows how to answer to that questions, it is said it has a "method" to resolve the question.
So, the way objects have to expose its behavior are called methods. Methods thus are the artifact object have to "do" something.
Other possible methods are
employee whatIsYourName
employee whatIsYourDepartmentsName
etc.
Functions in the other hand are ways a programming language has to compute some data, for instance you might have the function addValues( 8 , 8 ) that returns 16
// pseudo-code
function addValues( int x, int y ) return x + y
// call it
result = addValues( 8,8 )
print result // output is 16...
Since first popular programming languages ( such as fortran, c, pascal ) didn't cover the OO paradigm, they only call to these artifacts "functions".
for instance the previous function in C would be:
int addValues( int x, int y )
{
return x + y;
}
It is not "natural" to say an object has a "function" to perform some action, because functions are more related to mathematical stuff while an Employee has little mathematic on it, but you can have methods that do exactly the same as functions, for instance in Java this would be the equivalent addValues function.
public static int addValues( int x, int y ) {
return x + y;
}
Looks familiar? That´s because Java have its roots on C++ and C++ on C.
At the end is just a concept, in implementation they might look the same, but in the OO documentation these are called method.
Here´s an example of the previously Employee object in Java.
public class Employee {
Department department;
String name;
public String whatsYourName(){
return this.name;
}
public String whatsYourDeparmentsName(){
return this.department.name();
}
public String whatAreYouDoing(){
return "nothing";
}
// Ignore the following, only set here for completness
public Employee( String name ) {
this.name = name;
}
}
// Usage sample.
Employee employee = new Employee( "John" ); // Creates an employee called John
// If I want to display what is this employee doing I could use its methods.
// to know it.
String name = employee.whatIsYourName():
String doingWhat = employee.whatAreYouDoint();
// Print the info to the console.
System.out.printf("Employee %s is doing: %s", name, doingWhat );
Output:
Employee John is doing nothing.
The difference then, is on the "domain" where it is applied.
AppleScript have the idea of "natural language" matphor , that at some point OO had. For instance Smalltalk. I hope it may be reasonable easier for you to understand methods in objects after reading this.
NOTE: The code is not to be compiled, just to serve as an example. Feel free to modify the post and add Python example.

In OO world, the two are commonly used to mean the same thing.
From a pure Math and CS perspective, a function will always return the same result when called with the same arguments ( f(x,y) = (x + y) ). A method on the other hand, is typically associated with an instance of a class. Again though, most modern OO languages no longer use the term "function" for the most part. Many static methods can be quite like functions, as they typically have no state (not always true).

Let's say a function is a block of code (usually with its own scope, and sometimes with its own closure) that may receive some arguments and may also return a result.
A method is a function that is owned by an object (in some object oriented systems, it is more correct to say it is owned by a class). Being "owned" by a object/class means that you refer to the method through the object/class; for example, in Java if you want to invoke a method "open()" owned by an object "door" you need to write "door.open()".
Usually methods also gain some extra attributes describing their behaviour within the object/class, for example: visibility (related to the object oriented concept of encapsulation) which defines from which objects (or classes) the method can be invoked.
In many object oriented languages, all "functions" belong to some object (or class) and so in these languages there are no functions that are not methods.

Methods are functions of classes. In normal jargon, people interchange method and function all over. Basically you can think of them as the same thing (not sure if global functions are called methods).
http://en.wikipedia.org/wiki/Method_(computer_science)

A function is a mathematical concept. For example:
f(x,y) = sin(x) + cos(y)
says that function f() will return the sin of the first parameter added to the cosine of the second parameter. It's just math. As it happens sin() and cos() are also functions. A function has another property: all calls to a function with the same parameters, should return the same result.
A method, on the other hand, is a function that is related to an object in an object-oriented language. It has one implicit parameter: the object being acted upon (and it's state).
So, if you have an object Z with a method g(x), you might see the following:
Z.g(x) = sin(x) + cos(Z.y)
In this case, the parameter x is passed in, the same as in the function example earlier. However, the parameter to cos() is a value that lives inside the object Z. Z and the data that lives inside it (Z.y) are implicit parameters to Z's g() method.

Historically, there may have been a subtle difference with a "method" being something which does not return a value, and a "function" one which does.Each language has its own lexicon of terms with special meaning.
In "C", the word "function" means a program routine.
In Java, the term "function" does not have any special meaning. Whereas "method" means one of the routines that forms the implementation of a class.
In C# that would translate as:
public void DoSomething() {} // method
public int DoSomethingAndReturnMeANumber(){} // function
But really, I re-iterate that there is really no difference in the 2 concepts.
If you use the term "function" in informal discussions about Java, people will assume you meant "method" and carry on. Don't use it in proper documents or presentations about Java, or you will look silly.

Function or a method is a named callable piece of code which performs some operations and optionally returns a value.
In C language the term function is used. Java & C# people would say it a method (and a function in this case is defined within a class/object).
A C++ programmer might call it a function or sometimes method (depending on if they are writing procedural style c++ code or are doing object oriented way of C++, also a C/C++ only programmer would likely call it a function because term 'method' is less often used in C/C++ literature).
You use a function by just calling it's name like,
result = mySum(num1, num2);
You would call a method by referencing its object first like,
result = MyCalc.mySum(num1,num2);

Function is a set of logic that can be used to manipulate data.
While, Method is function that is used to manipulate the data of the object where it belongs.
So technically, if you have a function that is not completely related to your class but was declared in the class, its not a method; It's called a bad design.

In OO languages such as Object Pascal or C++, a "method" is a function associated with an object. So, for example, a "Dog" object might have a "bark" function and this would be considered a "Method". In contrast, the "StrLen" function stands alone (it provides the length of a string provided as an argument). It is thus just a "function." Javascript is technically Object Oriented as well but faces many limitations compared to a full-blown language like C++, C# or Pascal. Nonetheless, the distinction should still hold.
A couple of additional facts: C# is fully object oriented so you cannot create standalone "functions." In C# every function is bound to an object and is thus, technically, a "method." The kicker is that few people in C# refer to them as "methods" - they just use the term "functions" because there isn't any real distinction to be made.
Finally - just so any Pascal gurus don't jump on me here - Pascal also differentiates between "functions" (which return a value) and "procedures" which do not. C# does not make this distinction explicitly although you can, of course, choose to return a value or not.

Methods on a class act on the instance of the class, called the object.
class Example
{
public int data = 0; // Each instance of Example holds its internal data. This is a "field", or "member variable".
public void UpdateData() // .. and manipulates it (This is a method by the way)
{
data = data + 1;
}
public void PrintData() // This is also a method
{
Console.WriteLine(data);
}
}
class Program
{
public static void Main()
{
Example exampleObject1 = new Example();
Example exampleObject2 = new Example();
exampleObject1.UpdateData();
exampleObject1.UpdateData();
exampleObject2.UpdateData();
exampleObject1.PrintData(); // Prints "2"
exampleObject2.PrintData(); // Prints "1"
}
}

Since you mentioned Python, the following might be a useful illustration of the relationship between methods and objects in most modern object-oriented languages. In a nutshell what they call a "method" is just a function that gets passed an extra argument (as other answers have pointed out), but Python makes that more explicit than most languages.
# perfectly normal function
def hello(greetee):
print "Hello", greetee
# generalise a bit (still a function though)
def greet(greeting, greetee):
print greeting, greetee
# hide the greeting behind a layer of abstraction (still a function!)
def greet_with_greeter(greeter, greetee):
print greeter.greeting, greetee
# very simple class we can pass to greet_with_greeter
class Greeter(object):
def __init__(self, greeting):
self.greeting = greeting
# while we're at it, here's a method that uses self.greeting...
def greet(self, greetee):
print self.greeting, greetee
# save an object of class Greeter for later
hello_greeter = Greeter("Hello")
# now all of the following print the same message
hello("World")
greet("Hello", "World")
greet_with_greeter(hello_greeter, "World")
hello_greeter.greet("World")
Now compare the function greet_with_greeter and the method greet: the only difference is the name of the first parameter (in the function I called it "greeter", in the method I called it "self"). So I can use the greet method in exactly the same way as I use the greet_with_greeter function (using the "dot" syntax to get at it, since I defined it inside a class):
Greeter.greet(hello_greeter, "World")
So I've effectively turned a method into a function. Can I turn a function into a method? Well, as Python lets you mess with classes after they're defined, let's try:
Greeter.greet2 = greet_with_greeter
hello_greeter.greet2("World")
Yes, the function greet_with_greeter is now also known as the method greet2. This shows the only real difference between a method and a function: when you call a method "on" an object by calling object.method(args), the language magically turns it into method(object, args).
(OO purists might argue a method is something different from a function, and if you get into advanced Python or Ruby - or Smalltalk! - you will start to see their point. Also some languages give methods special access to bits of an object. But the main conceptual difference is still the hidden extra parameter.)

for me:
the function of a method and a function is the same if I agree that:
a function may return a value
may expect parameters
Just like any piece of code you may have objects you put in and you may have an object that comes as a result. During doing that they might change the state of an object but that would not change their basic functioning for me.
There might be a definition differencing in calling functions of objects or other codes. But isn't that something for a verbal differenciations and that's why people interchange them? The mentions example of computation I would be careful with. because I hire employes to do my calculations:
new Employer().calculateSum( 8, 8 );
By doing it that way I can rely on an employer being responsible for calculations. If he wants more money I free him and let the carbage collector's function of disposing unused employees do the rest and get a new employee.
Even arguing that a method is an objects function and a function is unconnected computation will not help me. The function descriptor itself and ideally the function's documentation will tell me what it needs and what it may return. The rest, like manipulating some object's state is not really transparent to me. I do expect both functions and methods to deliver and manipulate what they claim to without needing to know in detail how they do it.
Even a pure computational function might change the console's state or append to a logfile.

From my understanding a method is any operation which can be performed on a class. It is a general term used in programming.
In many languages methods are represented by functions and subroutines. The main distinction that most languages use for these is that functions may return a value back to the caller and a subroutine may not. However many modern languages only have functions, but these can optionally not return any value.
For example, lets say you want to describe a cat and you would like that to be able to yawn. You would create a Cat class, with a Yawn method, which would most likely be a function without any return value.

To a first order approximation, a method (in C++ style OO) is another word for a member function, that is a function that is part of a class.
In languages like C/C++ you can have functions which are not members of a class; you don't call a function not associated with a class a method.

IMHO people just wanted to invent new word for easier communication between programmers when they wanted to refer to functions inside objects.
If you are saying methods you mean functions inside the class.
If you are saying functions you mean simply functions outside the class.
The truth is that both words are used to describe functions. Even if you used it wrongly nothing wrong happens. Both words describe well what you want to achieve in your code.
Function is a code that has to play a role (a function) of doing something.
Method is a method to resolve the problem.
It does the same thing. It is the same thing. If you want to be super precise and go along with the convention you can call methods as the functions inside objects.

Let's not over complicate what should be a very simple answer. Methods and functions are the same thing. You call a function a function when it is outside of a class, and you call a function a method when it is written inside a class.

Function is the concept mainly belonging to Procedure oriented programming where a function is an an entity which can process data and returns you value
Method is the concept of Object Oriented programming where a method is a member of a class which mostly does processing on the class members.

I am not an expert, but this is what I know:
Function is C language term, it refers to a piece of code and the function name will be the identifier to use this function.
Method is the OO term, typically it has a this pointer in the function parameter. You can not invoke this piece of code like C, you need to use object to invoke it.
The invoke methods are also different. Here invoke meaning to find the address of this piece of code. C/C++, the linking time will use the function symbol to locate.
Objecive-C is different. Invoke meaning a C function to use data structure to find the address. It means everything is known at run time.

TL;DR
A Function is a piece of code to run.
A Method is a Function inside an Object.
Example of a function:
function sum(){
console.log("sum")l
}
Example of a Method:
const obj = {
a:1,
b:2,
sum(){
}
}
So thats why we say that a "this" keyword inside a Function is not very useful unless we use it with call, apply or bind .. because call, apply, bind will call that function as a method inside object ==> basically it converts function to method

I know many others have already answered, but I found following is a simple, yet effective single line answer. Though it doesn't look a lot better than others answers here, but if you read it carefully, it has everything you need to know about the method vs function.
A method is a function that has a defined receiver, in OOP terms, a method is a function on an instance of an object.

A class is the collection of some data and function optionally with a constructor.
While you creating an instance (copy,replication) of that particular class the constructor initialize the class and return an object.
Now the class become object (without constructor)
&
Functions are known as method in the object context.
So basically
Class <==new==>Object
Function <==new==>Method
In java the it is generally told as that the constructor name same as class name but in real that constructor is like instance block and static block but with having a user define return type(i.e. Class type)
While the class can have an static block,instance block,constructor, function
The object generally have only data & method.

Function - A function in an independent piece of code which includes some logic and must be called independently and are defined outside of class.
Method - A method is an independent piece of code which is called in reference to some object and are be defined inside the class.

General answer is:
method has object context (this, or class instance reference),
function has none context (null, or global, or static).
But answer to question is dependent on terminology of language you use.
In JavaScript (ES 6) you are free to customising function context (this) for any you desire, which is normally must be link to the (this) object instance context.
In Java world you always hear that "only OOP classes/objects, no functions", but if you watch in detailes to static methods in Java, they are really in global/null context (or context of classes, whithout instancing), so just functions whithout object. Java teachers could told you, that functions were rudiment of C in C++ and dropped in Java, but they told you it for simplification of history and avoiding unnecessary questions of newbies. If you see at Java after 7 version, you can find many elements of pure function programming (even not from C, but from older 1988 Lisp) for simplifying parallel computing, and it is not OOP classes style.
In C++ and D world things are stronger, and you have separated functions and objects with methods and fields. But in practice, you again see functions without this and methods whith this (with object context).
In FreePascal/Lazarus and Borland Pascal/Delphi things about separation terms of functions and objects (variables and fields) are usually similar to C++.
Objective-C comes from C world, so you must separate C functions and Objective-C objects with methods addon.
C# is very similar to Java, but has many C++ advantages.

In C++, sometimes, method is used to reflect the notion of member function of a class. However, recently I found a statement in the book «The C++ Programming Language 4th Edition», on page 586 "Derived Classes"
A virtual function is sometimes called a method.
This is a little bit confusing, but he said sometimes, so it roughly makes sense, C++ creator tends to see methods as functions can be invoked on objects and can behave polymorphic.

Practical difference between def f(x: Int) = x+1 and val f = (x: Int) => x+1 in Scala

I'm new to Scala and I'm having a problem understanding this. Why are there two syntaxes for the same concept, and none of them more efficient or shorter at that (merely from a typing standpoint, maybe they differ in behavior - which is what I'm asking).
In Go the analogues have a practical difference - you can't forward-reference the lambda assigned to a variable, but you can reference a named function from anywhere. Scala blends these two if I understand it correctly: you can forward-reference any variable (please correct me if I'm wrong).
Please note that this question is not a duplicate of What is the difference between “def” and “val” to define a function.
I know that def evaluates the expression after = each time it is referenced/called, and val only once. But this is different because the expression in the val definition evaluates to a function.
It is also not a duplicate of Functions vs methods in Scala.
This question concerns the syntax of Scala, and is not asking about the difference between functions and methods directly. Even though the answers may be similar in content, it's still valuable to have this exact point cleared up on this site.

There are three main differences (that I know of):
1. Internal Representation
Function expressions (aka anonymous functions or lambdas) are represented in the generated bytecode as instances of any of the Function traits. This means that function expressions are also objects. Method definitions, on the other hand, are first class citizens on the JVM and have a special bytecode representation. How this impacts performance is hard to tell without profiling.
2. Reference Syntax
References to functions and methods have different syntaxes. You can't just say foo when you want to send the reference of a method as an argument to some other part of your code. You'll have to say foo _. With functions you can just say foo and things will work as intended. The syntax foo _ is effectively wrapping the call to foo inside an anonymous function.
3. Generics Support
Methods support type parametrization, functions do not. For example, there's no way to express the following using a function value:
def identity[A](a: A): A = a
The closest would be this, but it loses the type information:
val identity = (a: Any) => a

As an extension to Ionut's first point, it may be worth taking a quick look at http://www.scala-lang.org/api/current/#scala.Function1.
From my understanding, an instance of a function as you described (ie.
val f = (x: Int) => x + 1) extends the Function1 class. The implications of this are that an instance of a function consumes more memory than defining a method. Methods are innate to the JVM, hence they can be determined at compile time. The obvious cost of a Function is its memory consumption, but with it come added benefits such as composition with other Function objects.
If I understand correctly, the reason defs and lambdas can work together is because the Function class has a self-type (T1) ⇒ R which is implied by its apply() method https://github.com/scala/scala/blob/v2.11.8/src/library/scala/Function1.scala#L36. (At least I THINK that's what going on, please correct me if I'm wrong). This is all just my own speculation, however. There's certain to be some extra compiler magic taking place underneath to allow method and function interoperability.

How to define my function from a string?

This is normal definition of some function as I know:
real function f(x)
real x
f = (sin(x))**2*exp(-x)
end function f
But I want to define a function from some string, for example the program will ask me to write it, and then it will define the function f in a program. Is this possible in Fortran?

What you are looking for is possible in reflective programming languages, and is not possible in Fortran.
Quote from the link above:
A language supporting reflection provides a number of features available at runtime that would otherwise be very obscure to accomplish in a lower-level language. Some of these features are the abilities to:
Discover and modify source code constructions (such as code blocks, classes, methods, protocols, etc.) as a first-class object at runtime.
Convert a string matching the symbolic name of a class or function into a reference to or invocation of that class or function.
Evaluate a string as if it were a source code statement at runtime.
Create a new interpreter for the language's bytecode to give a new meaning or purpose for a programming construct.

I worked on a project once that tried to achieve something similar. We read in a string that contained a string with named variables and mathematical operations (a function if you will). In this string the variables then got replaced by their numerical values and the terms were evaluated.
The basic idea is not to too difficult, but it requires a lot of string manipulations - and it is not a function in the context of a programming language.
We did it like this:
Recursively divide the string at +,-,/,*, but remember to honor brackets
If this is not possible (without violating bracketing), evaluate the remaining string:
Does it contain a mathematical expression like cos? Yes => recurse into arguments
No => evaluate the mathematical expression (no variables allowed, but they got replaced)
This works quite well, but it requires:
Splitting strings
Matching in strings
Replacing strings with other strings, etc.
This is not trivial to do in Fortran, so if you have other options (like calling an external tool/script that returns the value), I would look into that - especially if you are new to Fortran!

What are better ways to create a method that takes many arguments? (10+?)

I was looking at some code of a fellow developer, and almost cried. In the method definition there are 12 arguments. From my experience..this isn't good. If it were me, I would have sent in an object of some sort.
Is there another / more preferred way to do this (in other words, what's the best way to fix this and explain why)?
public long Save (
String today,
String name,
String desc,
int ID,
String otherNm,
DateTime dt,
int status,
String periodID,
String otherDt,
String submittedDt
)
ignore my poor variable names - they are examples

It highly depends on the language.
In a language without compile-time typechecking (e.g. python, javascript, etc.) you should use keyword arguments (common in python: you can access them like a dictionary passed in as an argument) or objects/dictionaries you manually pass in as arguments (common in javascript).
However the "argument hell" you described is sometimes "the right way to do things" for certain languages with compile-time typechecking, because using objects will obfuscate the semantics from the typechecker. The solution then would be to use a better language with compile-time typechecking which allows pattern-matching of objects as arguments.

Yes, use objects. Also, the function is probably doing too much if it needs all of this information, so use smaller functions.

Use objects.
class User { ... }
User user = ...
Save(user);
It decision provides easy way for adding new parameters.

It depends on how complex the function is. If it does something non-trivial with each of those arguments, it should probably be split. If it just passes them through, they should probably be collected in an object. But if it just creates a row in a table, it's not really big deal. It's less of a deal if your language supports keyword arguments.

I imagine the issue you're experiencing is being able to look at the method call and know what argument is receiving what value. This is a pernicious problem in a language like Java, which lacks something like keyword arguments or JSON hashes to pass named arguments.
In this situation, the Builder pattern is a useful solution. It's more objects, three total, but leads to more comprehensible code for the problem you're describing. So the three objects in this case would be as such:
Thing: stateful entity, typically immutable (i.e. getters only)
ThingBuilder: factory class, creates a Thing entity and sets its values.
ThingDAO: not necessary for using the Builder pattern, but addresses your question.
Interaction
/*
ThingBuilder is a static inner class of Thing, where each of its
"set" method calls returns the ThingBuilder instance being worked with
while the final "build()" call returns the instantiated Thing instance.
*/
Thing thing = Thing.createBuilder().
.setToday("2012/04/01")
.setName("Example")
// ...etc...
.build();
// the Thing instance as get methods for each property
thing.getName();
// get your reference to thingDAO however it's done
thingDAO.save(thing);
The result is you get named arguments and an immutable instance.