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Part 2 Summer 2014 Web.pdf
Part_2_Summer_2014_Web.pdf
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Part 2 Summer 2014 Web.pdf-Part II: Functional Pro...
Part_2_Summer_2014_Web.pdf-Part II: Functional Programming with LISP
Part 2 Summer 2014 Web.pdf-Part II:...
Part_2_Summer_2014_Web.pdf-Part II: Functional Programming with LISP
Page 5
5
9
Expressions
•
LISP is an
expression-oriented language
. No
distinction is made between
"expressions"
and
"statements"
; all code and data are written as
expressions.
•
When an expression is evaluated, it produces a
value (or list of values), which then can be
embedded into other expressions.
10
Prefix Notation
•
Expressions are written as
lists
, using
prefix notation
.
•
Prefix notation is a form of notation for logic, arithmetic,
and algebra.
•
It places operators to the left of their operands.
•
For example,
the expression
5-(6 + 7)
is written as:
(- 5 (+ 6 7))
Page 6
6
11
Evaluation
•
The first element in an
expression list
is the name of
a form (i.e., a function) and the remainder of the list
are the arguments:
(<function_name> <arguments>)
e.g.
(+ 3 (* 4 5))
•
The LISP evaluation rule:
– Arguments are evaluated from left to right. The
values of the arguments are then passed to the
function named by the operator.
12
•
For constant objects (e.g. strings, numbers) the object itself is
the value.
•
Expressions which specify the application of arithmetic
procedures + - * / to a set of arguments are called
procedure
applications
.
•
How to distinguish between a list of objects
(obj1, obj2,
..)
and a procedure application
(procedure arg..)
?
•
The subexpressions of a procedure application are evaluated,
whereas the subexpressions of a quoted expression are not.
(/ (* 2 6) 3) =>
4
‘(/ (* 2 6) 3)
=>
(/ (* 2 6) 3)
Evaluation
Page 7
7
13
Arity Property of Functions
•
The term arity is used to describe the number of arguments or
operands that a function takes.
– An
unary
function (arity 1) takes one argument.
–A
binary
function (arity 2) takes two arguments.
–A
ternary
function (arity 3) takes three arguments.
– An
n-ary
function takes n arguments.
•
Variable arity functions:
Can take any number of arguments.
Examples are: +, *, <
(+ 1 2 3 4)
; returns 10.
(* 2 4 3)
; returns 24
(< 1 3 2)
; nil
14
Data
•
Every programming language has
data types
and ways of combining and abstracting them.
•
For any data type, we are concerned with:
– The values of the type.
– The operations on that type.
– How the values are represented.
Page 8
8
15
Simple Data Types
•
Simple types (
atoms
): An atom is a number or a
symbol.
–
Boolean
t, nil
–
Number
integers, floating point numbers,
ratios, complex numbers, etc.
–
Symbol
character sequences.
16
Composite Data Types
•A
list
is a
parenthesized
,
space-separated finite
ordered sequence of elements
, where each
element is in itself either an
atom
or a
list
.
((1 2)(3 4))
(138 abcde 54 18)
(sometimes (parentheses (get))
complicated)
()
•
A list is a singly-linked list.
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