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    The Logo programming language is a functional programming language. It is an easier to read adaptation and dialect of the Lisp programming language; some have called it Lisp without the parentheses. It was created for educational use, more so for Constructivist teaching, by Danny Bobrow, Wally Feurzeig and Seymour Papert. Today, it is known mainly for its "turtle graphics", but it also has significant facilities for handling lists, files, and I/O. Logo can be used to teach most computer science concepts, as UC Berkeley Lecturer Brian Harvey does in his "Computer Science Logo Style" trilogy.


        Logo (programming language)
            History
            Implementations
            Programming
                Turtle programming
                    Example 1: a square
                    Example 2: a triangle
                    Example 3: dotted line
                    Example 4: loops
                    Example 5: new words
                    Example 6: erasing (in the UCBLogo dialect)
                    Example 7: parameters: giving the word changeable information
            The language
                Functions and procedures
                    Example 8: A spiral drawn using recursion
                Data
                    Scoping
                Lists
                    Example 9: using list primitives to extract the first five members of a list
                Control structure commands
                Template iteration
                Property lists
                I/O Commands
                Graphics
                    Example 10: calculating and drawing a sundial for a given latitude
                MSWLogo extensions
            Hello World
            See also
            Bibliography
    NameLogo
    LogoImage:Remi_turtlegrafik.png
    Paradigmfunctional programming
    Year1967
    DesignerWally Feurzeig & Seymour Papert
    DeveloperWally Feurzeig & Seymour Papert
    Typingdynamic typing
    ImplementationsUCBLogo, many others
    Influenced ByLisp programming language
    InfluencedLisp programming language

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    History
    Logo was created in 1967 at BBN, a Cambridge, Massachusetts research firm, by Wally Feurzeig and Seymour Papert*. Its intellectual roots are in artificial intelligence, mathematical logic and developmental psychology. The first four years of Logo research, development and teaching work was done at BBN. The first implementation was written in LISP on a PDP-1. Its name was "ghost". The goal was basic problem solving; the turtle gave immediate (non-written) feedback so bugs could be spotted. Lots of other effects have been proposed as causes. Power was not a significant factor in the design. However, ease of use for non-typists who had to use a Teletype, was a big consideration, plus informative error comments.

    The turtle was a rather late innovation. Logo is not too much different now from the basic concepts before the first turtle. The first turtle was a radio controlled (wireless) floor roamer named "Irving". Irving had touch sensors and could do forward, back, right, left (rotations), and ding (Irving had a bell). The earliest school users were at Muzzy Jr High, Lexington MA.

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    Implementations
    There are over 130 implementations and dialects of Logo, each of which has its own strengths. Many are object-oriented. A popular cross-platform implementation is UCBLogo. MSWLogo (and its successor FMSLogo), its freeware Windows derivative, is commonly used in schools in the United Kingdom. Another version, used in schools in the US and a number of countries in Latin America, is MicroWorlds Logo. MicroWorlds developed from an earlier product released in 1986 called LogoWriter, a popular product that combined Logo and word processing. Comenius Logo is available in Dutch, German, Czech etc. SOLI Logo was a French version widely used in primary schools in the 1980s. In 1984, ExperLogo for the Macintosh added turtles in 3D and on the surface of spheres. It was also compiled instead of interpreted and hence was very fast. Lego/Logo was a system for controlling the turtle or Lego motors and sensors, and was often used in the classroom in the mid 90's. ARLOGO is an Arabic Port of UCBLOGO, considered the first open-source programming language in Arabic.

    A modern derivative of Logo is a variation that allows thousands of "turtles", each moving independently. There are two popular implementations: MIT StarLogo and NetLogo. These derivatives allow for the exploration of emergent phenomena and come with many experiments in social studies, biology, physics, and many other sciences. Although the focus is on the interactions of a large number of independent agents, these variations still capture the original flavor of Logo.

    There is no single agreed-upon Logo language definition or standard, only a loose tradition. As a result, there are substantial differences between the many dialects of Logo that have evolved. The code examples shown below would work in many Logo dialects, but not all.

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    Programming
    The idea is that a turtle with a pen strapped to it can be instructed to do simple things like move forward 100 spaces or turn around. From these building blocks you can build more complex shapes like squares, triangles, circles--using these to draw houses or sailboats.

    The turtle moves with commands that are relative to its own position, "LEFT 90" meant rotate left by 90 degrees. A student could understand (and predict and reason about) the turtle's motion by imagining what they would do if they were the turtle. Papert called this "body syntonic" reasoning.

    The idea of turtle graphics is also useful for example in Lindenmayer system for generating fractals.

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    Turtle programming
    The following are examples of Turtle code. While seemingly very simple, turtles can be given groups of instructions, essentially creating libraries of more complex commands. In practice short forms are used. For example, "LEFT 90" is written "LT 90". Key words are usually written in upper case for beginners, but more advanced texts use lower case.

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    Example 1: a square
    FORWARD 100
    LEFT 90
    FORWARD 100
    LEFT 90
    FORWARD 100
    LEFT 90
    FORWARD 100
    LEFT 90



    This draws a square with sides 100 units long (in the image the turtle has yet to turn LT 90 to be back in its starting position).

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    Example 2: a triangle
    The commands may be written on one line, or more.

    REPEAT 3 FD 100 RT 120

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    Example 3: dotted line




    The turtle's pen could be lifted and lowered; drawing a dotted line was rudimentary. In this example we'll use the short form for FORWARD, which is FD. (A typical command can then be read "FD space 10", specifying everything clearly and saving frustration.) Anything written after the

    (semicolon) is ignored, allowing the coder to insert comments.


    FD 20;(drawing a line and moving)
    PENUP
    (now we've lifted the pen so it won't draw anything even if we do move)

    FD 20
    (not drawing but moving)

    PENDOWN
    (now we've lowered the pen so it draws a line wherever the turtle moves)

    FD 20;(drawing a line and moving)
    PENUP
    FD 20;(etc...)
    PENDOWN
    FD 20



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    Example 4: loops
    You could also use loop (repeat) commands. This would draw the exact same box as in the first example:


    REPEAT 4 FD 100 RIGHT 90


    Which executes the command "FD 100 RIGHT 90" four times.
    An approximation of a circle can be constructed easily with 360 small rotations and a step forward: REPEAT 360 FD 1 RIGHT 1.

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    Example 5: new words




    You can teach the turtle new words, i.e. groups of instructions, or procedures. This can be done from the Logo prompt or an Editor, which is invoked by EDALL in many Logo dialects. The commands TO CHAIR and END must be entered on separate lines.

    EDALL


    TO CHAIR
    REPEAT 4 FD 100 RT 90 FD 200
    END




    Once one is finished with the editor, it must be exited. The new word is saved into the available vocabulary, but the definition will be lost once the Logo interpreter is stopped. In this case, any time CHAIR is entered, "REPEAT 4 FD 100 LEFT 90 FD 200" will be executed. CHAIR can be used as a command; for example, REPEAT 4 CHAIR would compound the CHAIR operation four times.


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    Example 6: erasing (in the UCBLogo dialect)
    The turtle can erase a line, using the command PENERASE (PE). The pen can be restored with the command PENPAINT (PPT).

    EDALL
    (to enter the editor mode, then the actual procedure)



    TO ERASECHAIR
    PE
    BK 200 REPEAT 4 FD 100 RT 90
    PPT
    END


    CS CHAIR WAIT 200 ERASECHAIR
    This example introduces two new instructions, which are best taught by running them through a Logo interpreter and observing the result. This typifies the general spirit of Logo.

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    Example 7: parameters: giving the word changeable information




    Logo can pass extra information to its words, and return information. We must tell the word to expect something and give it a name. Notice the use of the colon. We are passing 'by value' and the colon is pronounced as 'the value of'. When the procedure is run with a command like CHAIR 200, the size takes the value 200 so we go 'FD the value of 200'.

    EDALL

    (to enter the editor mode, then the actual procedure)


    TO CHAIR
    thesize

    REPEAT 4 FD :thesize RT 90 FD
    thesize FD
    thesize

    END
    Try
    CS REPEAT 9 CHAIR 50 RT 20 CHAIR 100 WAIT 50 RT 20




    If you do need help, type HELP, or HELP "HOME (note the single quote mark.)


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    The language
    Logo is generally known as an interpreted language, although recently there have been developed compiled Logo dialects - like ELICA. Logo is not case dependent, but retains the case used for formatting. It is written in lines. It is a compromise between a sequential programming language with block structures, and a functional programming language. There is no 'standard' LOGO, but UCBLogo is highly regarded. It is a teaching language but its list handling facilities make it remarkably useful for producing useful scripts.

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    Functions and procedures
    Each line is made up of "function calls", of which there are two types:

      commands (which do something—effects—but don't return a value) like print.
      operations (which just return a value, its output) like sum, first or readlist.

    A command is similar to a Pascal procedure, and an operation is similar to a Pascal function. A special subset of operations, called predicates, which just output the word true or false, are conventionally written with a final p. Examples include emptyp, wordp, and listp.

      Expressions can be primitives, or can be defined by the user.
      Expressions can take zero, one or more parameters.

    Mathematics in Logo uses prefix notation, like: sum
    x
    y, product
    x
    y, difference
    x
    y, quotient
    x
    y. Infix is also available.


    help "keyword
    (will bring up a full description of the expression).


    Logo allows for recursion, the process where a procedure calls itself.

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    Example 8: A spiral drawn using recursion




    to spiral

    size

    if
    size > 30 stop
    a condition stop

    fd
    size rt 15
    many lines of action

    spiral
    size
      1.02
      the tailend recursive call
    end

    spiral 10



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    Data
    There are three datatypes in UCBLogo,

      the word,
      the list,
      the array.

    A number is a special case of word.

    There is no static typing. The interpreter detects the datatype by context.

    There are two important symbols

      The colon :- this means 'the contents of'

    This is an extremely useful symbol that keeps reminding students that a variable is really some 'place' in memory.

      The quote- this means '"the word is evaluated as itself"', or '"its value after evaluation is the same as it was before"'. This is important.

    A number is a special case of self evaluation- it really could be written with a quote 2 is really "2

    Assignment in Pascal x:= y +3 becomes in Logo
    make "x sum
    y 3

    or
    make "x sum
    y "3

    make takes 2 parameters, the second of which here is sum
    y "3. Now sum takes two 'parameters' and is an 'operation', thus the calculation is possible. "3 evaluates to 3, and :y takes the contents of the thing called y, these are summed giving a number. The effect of make is to place the result into the first parameter.



    An alternative way of looking at this, maybe, is that the second parameter is 'passed by value' while the first is 'passed by address.'

    Indirection (within a procedure) is possible with the form make
    x
    x + 1.


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    Scoping
    Variables don’t have to be declared before use. Their scope is then global.
    A variable may be declared local, then its scope is limited to that procedure and its subprocedures (a.k.a. dynamic scope). Calling a 'procedure' with 'inputs', creates 'local variables' which hold the contents of the parameters.

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    Lists
    Discussing lists comes as a surprise to a Pascal programmer, who has managed quite well without them, however this opens many new possibilities. Arrays are also provided for the timid.

      Operators exist to convert words into lists, and lists into arrays and back again.
      This data type has the advantage over arrays that it is infinitely expandable. Data are extracted using the operations first, butfirst, last, butlast, butmember, member and item. Data elements are added using sentence fput and lput.
      A list can be considered to be a queue with the operators queue and dequeue, or a stack with the operations push and pop.
      Recursion rather than iteration is the natural method to process lists.

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    Example 9: using list primitives to extract the first five members of a list
    One way would be to use iteration.

    to firstfive
    alist

    ifelse lessp count
    alist 6 op :alist make "olist

    repeat 5 make "olist lput first :alist :olist make "alist bf :alist output
    olist

    end

    show firstfive 1 2 3 4 5 6 7 8 9
    1 2 3 4 5
    foreach firstfive 1 2 3 4 5 6 7 8 9 show 10 - ?
    9 8 7 6 5


    Another, more elegant way would be

    to firstn
    num
    list

    if
    num = 0 output

    output fput (first
    list) (firstn
    num-1 butfirst
    list)

    end

    to firstfive
    list

    output firstn 5
    list

    end


    This method uses recursion, and is an example of a 'functional' rather than an 'imperative' programming approach.

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    Control structure commands
    The standard Pascal controls are available, there is selection


    There are iteration commands


    Recursion is Logo's preferred processing paradigm.

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    Template iteration
    The Pascal programmer will be surprised by a series of list based control structures. The basic idea is that you have two lists

    OPERATION a list of commands many data items
    each of the commands is applied in turn to each of the data items. There are several of these template commands with names like MAP, APPLY, FILTER, FOREACH, REDUCE and CASCADE. They repesent four flavours of template iteration, known as explicit-slot, named-procedure, named-slot (or Lambda) and procedure-text.

    show map ? * ? 5 6 7
    25 36 49
    show filter (count ?) > 4 the quick brown fox jumps over the lazy dog
    quick brown jumps
    show foreach 1 2 3 4 5 ? * 10
    10 20 30 40 50

    RUN list of commands
    run a list of commands (or programs) from in a program.


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    Property lists
    A property list is a special list where the odd number items are property names, and the even are property values. There are three commands to process property list.
    pprop
    listname
    name
    value
    to add a new pair to the list

    remprop
    listname
    name
    value
    to remove a pair to the list

    show gprop
    listname
    name
    to get the matching value from the list


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    I/O Commands
    Text may be written to the command window (output stream) using print, show and to the graphics window using label

    The standard commands are readlist readword readchar with the normal input stream being the keyboard. In Unix tradition the input stream can be changed, so input can come from a disk file. Similarly, output can be redirected. The technique will be familiar to Pascal Programmers- using a sequence

    openread filename
    setreadfilename
    setreadpos nn
    readchar
    setread
    close filename.

    There are equivalent commands to change the output stream, openwrite, openappend, setwrite, setwritepos nn.

    dribble filename
    Creates a transcript of everything that is typed in or outputted to the command window.
    nodribble
    This turns it off.

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    Graphics
    Turtle graphics is a powerful method of introducing thinking but LOGO also has a few useful Cartesian commands
    home
    returns the turtle to (0,0)

    setx xx
    sety yy
    sends the turtle, still drawing to (xx,yy)

    seth nn
    sets the turtle on a heading or compass bearing of (nn)


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    Example 10: calculating and drawing a sundial for a given latitude




    This is a typical garden dial. The graphic can be printed and transferred to wood or brass to make an accurate garden timepiece.
    to dial

    cs show Type in your latitude as a whole number
    make "latitude readword

    uses keyboard input

    for i 0 6 1 make "ang arctan product sin :latitude tan product :i 15 ;the calculation rt :ang fd 200 bk 200 lt :ang ;draw the morning line lt :ang fd 200 bk 200 rt :ang ;use symmetry to draw the afternoon line
    pu setx -300 sety -300 seth 90 pd
    send the turtle to the bottom

    fd 300 seth 270 rt 90 -
    latitude fd 300
    draw the style or gnomon

    pu home pd
    tidy it up

    end

    A sundial plate must be calculated for its latitude using the formula
    x= arctan( sin(latitude)
      tan(HourDiff
        15) )
    The Gnomon Angle = latitude.



    This dial is set for 38N, the latitude of Berkeley, California- the home of UCBLogo. A small correction should be made for Longitude.


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    MSWLogo extensions

    MSWLogo supports multiple turtles, and 3D Graphics. MSWLogo allows input from COM ports and LPT ports and also 'hardware' ports. MSWLogo also supports a windows interface thus I/O is available through this GUI- and keyboard and mouse events can trigger interrupts.
    cs show 40
    make "latitude readword
    uses keyboard input

    for i 0 6 1 make "ang arctan product sin :latitude tan product :i 15 ;the calculation rt :ang fd 200 bk 200 lt :ang ;draw the morning line lt :ang fd 200 bk 200 rt :ang ;use symmetry to draw the afternoon line
    pu setx -300 sety -300 seth 90 pd
    send the turtle to the bottom

    fd 300 seth 270 rt 90 -
    latitude fd 300
    draw the style or gnomon

    pu home pd
    tidy it up

    end

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    Hello World
    Hello world program
    TO HELLO
    PRINT Hello, world!
    END


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    See also

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    Bibliography
      Computer Science Logo Style, Brian Harvey, MIT Press (3 volumes) ISBN 0-262-58148-5, ISBN 0-262-58149-3, ISBN 0-262-58150-7. Available online
      The Great Logo Adventure, Jim Muller, Doone Publications ISBN 0-9651934-6-2
     
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