A general introduction to Functional Programming using Haskell
... Another way of dealing with multiple arguments: functions that return functions, e.g.: add' :: Int > (Int > Int) add' x y = x + y – add' is a function that takes an Int as argument, and returns a function that, given another Int, returns an Int ...
... Another way of dealing with multiple arguments: functions that return functions, e.g.: add' :: Int > (Int > Int) add' x y = x + y – add' is a function that takes an Int as argument, and returns a function that, given another Int, returns an Int ...
15. Functional Programming Languages.
... A functional form that takes a list of functions as parameters and yields a list of the results of applying each of its parameter functions to a given parameter Form: [f, g] For f (x) ∫ x * x * x and g (x) ∫ x + 3, [f, g] (4) yields (64, 7) 3. Apply-to-all A functional form that takes a single funct ...
... A functional form that takes a list of functions as parameters and yields a list of the results of applying each of its parameter functions to a given parameter Form: [f, g] For f (x) ∫ x * x * x and g (x) ∫ x + 3, [f, g] (4) yields (64, 7) 3. Apply-to-all A functional form that takes a single funct ...
Chapter 14 Functional Programming Languages
... A functional form that takes a list of functions as parameters and yields a list of the results of applying each of its parameter functions to a given parameter Form: [f, g] For f (x) ≡ x * x * x and g (x) ≡ x + 3, [f, g] (4) yields (64, 7) 3. Apply-to-all A functional form that takes a single funct ...
... A functional form that takes a list of functions as parameters and yields a list of the results of applying each of its parameter functions to a given parameter Form: [f, g] For f (x) ≡ x * x * x and g (x) ≡ x + 3, [f, g] (4) yields (64, 7) 3. Apply-to-all A functional form that takes a single funct ...
slides
... A functional form that takes a list of functions as parameters and yields a list of the results of applying each of its parameter functions to a given parameter Form: [f, g] For f (x) x * x * x and g (x) x + 3, [f, g] (4) yields (64, 7) 3. Apply-to-all A functional form that takes a single funct ...
... A functional form that takes a list of functions as parameters and yields a list of the results of applying each of its parameter functions to a given parameter Form: [f, g] For f (x) x * x * x and g (x) x + 3, [f, g] (4) yields (64, 7) 3. Apply-to-all A functional form that takes a single funct ...
Functional Programming
... 14.2.2 Expression Evaluation • Three steps: – replace names of symbols by their current bindings. – Evaluate lists as function calls in Cambridge prefix, where a list is a set of elements enclosed in ( ); e.g., (* a 2) • The first element in the list is always treated as the function unless you spe ...
... 14.2.2 Expression Evaluation • Three steps: – replace names of symbols by their current bindings. – Evaluate lists as function calls in Cambridge prefix, where a list is a set of elements enclosed in ( ); e.g., (* a 2) • The first element in the list is always treated as the function unless you spe ...
ppt
... variables when beta-reducing a lambda calculus expression. In the following, we rename x to z, (or any other fresh variable): (x.(y x) x) ...
... variables when beta-reducing a lambda calculus expression. In the following, we rename x to z, (or any other fresh variable): (x.(y x) x) ...
Example
... • A mathematical function is a mapping of members of one set, called the domain set, to another set, called the range set • A lambda expression (nameless function) specifies the parameter(s) and the mapping of a function in the following form (x) x * x * x for the function cube (x) = x * x * x • La ...
... • A mathematical function is a mapping of members of one set, called the domain set, to another set, called the range set • A lambda expression (nameless function) specifies the parameter(s) and the mapping of a function in the following form (x) x * x * x for the function cube (x) = x * x * x • La ...
LISP
... are bound variables, and all the other variables that appear in the body of the function are free variables. When a function is called any bindings that a bound variable may have in the global environment are saved and the variable is rebound to the calling parameter. After the function has complete ...
... are bound variables, and all the other variables that appear in the body of the function are free variables. When a function is called any bindings that a bound variable may have in the global environment are saved and the variable is rebound to the calling parameter. After the function has complete ...
Part 1
... named EVAL, always evaluates parameters to function applications before applying the function. QUOTE is used to avoid parameter valuation when it is not appropriate QUOTE can be abbreviated with the apostrophe prefix ...
... named EVAL, always evaluates parameters to function applications before applying the function. QUOTE is used to avoid parameter valuation when it is not appropriate QUOTE can be abbreviated with the apostrophe prefix ...
D16/B330/3C11 Functional Programming Lecture 5
... Offside rule / where blocks / evaluation Partial / polymorphic functions Patterns and pattern-matching Recursive functions Lists Functions using lists Recursive functions using lists ...
... Offside rule / where blocks / evaluation Partial / polymorphic functions Patterns and pattern-matching Recursive functions Lists Functions using lists Recursive functions using lists ...
1 Salient Features of Functional Programming
... • In addition to the type-specific pattern s, Haskell offers the following 3 special ones: or the underscore is a “don’t care” pattern : it says “I am not interested in what is here, so I don’t even bother to name it”. @ The “at” variable @pattern gives the name variable to the whole matched value, ...
... • In addition to the type-specific pattern s, Haskell offers the following 3 special ones: or the underscore is a “don’t care” pattern : it says “I am not interested in what is here, so I don’t even bother to name it”. @ The “at” variable @pattern gives the name variable to the whole matched value, ...
Recursion and Induction: Haskell
... Greg Plaxton Theory in Programming Practice, Spring 2005 Department of Computer Science University of Texas at Austin ...
... Greg Plaxton Theory in Programming Practice, Spring 2005 Department of Computer Science University of Texas at Austin ...
Functional Programming, an introduction
... • It take some function, func, and apply it to each element and the rest of the list ("folding it", into the list), exactly like we use + in the sum function. • The base value is the identity value of the function, for the sum function this was 0. It's the value which is returned for the empty list. ...
... • It take some function, func, and apply it to each element and the rest of the list ("folding it", into the list), exactly like we use + in the sum function. • The base value is the identity value of the function, for the sum function this was 0. It's the value which is returned for the empty list. ...
Functional Programming COMP2003
... What is lambda for: 1. When the function definition is specific to a particular situation, and so can be defined and used in just one place. Usually the motive for forming the computation into a function is that it is being passed in as argument to some other functions which will use that computati ...
... What is lambda for: 1. When the function definition is specific to a particular situation, and so can be defined and used in just one place. Usually the motive for forming the computation into a function is that it is being passed in as argument to some other functions which will use that computati ...
Haskell review
... • A recursive method must have some base case that indicates when the recursion stops • Most recursive functions (any language) start with an if statement to determine if this is the base case ...
... • A recursive method must have some base case that indicates when the recursion stops • Most recursive functions (any language) start with an if statement to determine if this is the base case ...
Introduction to Racket
... (cons 1 2) is valid code but it does not produce a proper list. (list? x) tells if it is a proper list (in constant time). This is a difference between strongly typed code (such as SML) and Racket. ...
... (cons 1 2) is valid code but it does not produce a proper list. (list? x) tells if it is a proper list (in constant time). This is a difference between strongly typed code (such as SML) and Racket. ...
Functional Programming
... that are often missing in imperative languages: – First-class function values: the ability of functions to return newly constructed functions – Higher-order functions : functions that take other functions as input parameters or return functions. – Polymorphism: the ability to write functions that op ...
... that are often missing in imperative languages: – First-class function values: the ability of functions to return newly constructed functions – Higher-order functions : functions that take other functions as input parameters or return functions. – Polymorphism: the ability to write functions that op ...
Functional Programming
... same way as tail, except that safetail maps the empty list to the empty list, whereas tail gives an error in this case. Define safetail using: (i) a conditional expression; ...
... same way as tail, except that safetail maps the empty list to the empty list, whereas tail gives an error in this case. Define safetail using: (i) a conditional expression; ...
Functional Programming Basics
... • The only thing that matters about an expression is its value, and any subexpression can be replaced by any other expression equal in value. • The value of an expression is independent of its position only provided we remain within the scopes of the definitions which apply to the names occurring in ...
... • The only thing that matters about an expression is its value, and any subexpression can be replaced by any other expression equal in value. • The value of an expression is independent of its position only provided we remain within the scopes of the definitions which apply to the names occurring in ...
Miranda * A Functional Language
... • Executable “mathematics” with “minimal” programming syntax • Uses “ordinary” mathematical notation • Single assignment “variables” ...
... • Executable “mathematics” with “minimal” programming syntax • Uses “ordinary” mathematical notation • Single assignment “variables” ...
CSC 533: Programming Languages Spring 2015
... § can discard the current activation record, push record for new recursive call § thus, no limit on recursion depth (each recursive call reuses the same memory) § Scheme interpreters are required to perform this tail-recursion optimization ...
... § can discard the current activation record, push record for new recursive call § thus, no limit on recursion depth (each recursive call reuses the same memory) § Scheme interpreters are required to perform this tail-recursion optimization ...
Functional Programming
... can discard the current activation record, push record for new recursive call thus, no limit on recursion depth (each recursive call reuses the same memory) Scheme interpreters are required to perform this tail-recursion optimization ...
... can discard the current activation record, push record for new recursive call thus, no limit on recursion depth (each recursive call reuses the same memory) Scheme interpreters are required to perform this tail-recursion optimization ...
ppt - Dave Reed
... can discard the current activation record, push record for new recursive call thus, no limit on recursion depth (each recursive call reuses the same memory) Scheme interpreters are required to perform this tail-recursion optimization ...
... can discard the current activation record, push record for new recursive call thus, no limit on recursion depth (each recursive call reuses the same memory) Scheme interpreters are required to perform this tail-recursion optimization ...