Thursday, March 27, 2008

Coolest email by my professor ever

It's a mail by some professor of foreign university to our HoD. (Must read)

Dear sir,

The email attached is typical of many that I receive. They all seem to
come from IIT students. The students all claim to have reviewed my web
pages and to be particularly interested in working with me. I have yet
to receive one that shows any evidence that this is true, or indeed that
the writer has any idea whatsoever what research I do. Invariably their
stated interests do not coincide with any of mine. The fact that these
emails all appear to originate from IIT students, they all have similar
format and none of them show any sign that students have actually done
any research (it really looks as if they have written generic emails and
spammed them to every email address they could harvest) suggests that
they might be being instructed to behave this way. I find that hard to
believe, so I imagine it is more likely that they have misunderstood
something, but please could your staff who are responsible for your
internship programme encourage students to apply more selectively? I
fear that this deluge of spam emails from your students is not enhancing
the reputation of your institution, which I understand to be very high.

I've deleted all the identifiers from this email, it doesn't matter who
the student is, I've had many similar emails.

Jim Miles

-------- Original Message --------

Date: Thu, 14 Feb 2008 03:04:00 +0530
Subject: IIT Delhi Student - Application for Internship
MIME-Version: 1.0
Content-Type: multipart/mixed;

Respected Professor

I am a second year Computer Science student at Indian Institute of
Technology (IIT) Delhi ( http://www.iitd.ac.in/ ), which is a world
class institute with state of the art facilities and highly qualified
faculty imparting high quality teaching and training in technical
streams. IIT Delhi lays strong focus on practical knowledge apart from
imparting strong theoretical background which places it amongst the
top technical universities of the world.

Starting from 10th May 2008, I have about 10 weeks summer break during
which I would like to enhance my theoretical knowledge and practical
skills under excellent guidance. I am looking for high growth and
challenging opportunity to exploit my inner talent in the best working
environment and I am confident that I can do very good and meaningful
work in the area of Computer Science. By that time I would have
completed 4 (91 credits) semesters which include courses and projects
that have provided me with adequate fundamental knowledge of Computer
Science, both theoretical as well as practical. I have honed my
programming and technical skills with many projects and assignments
done in various courses related to a wide range of fields in Computer
Science.

I have been through the website and am impressed by the level of
innovative research at your institute.I have gone through the research
pursued by you and I am interested to work with you. I am highly
motivated to pursue research involving application of my knowledge and
more than willing to learn new concepts before working on a project.
An internship under your guidance would be an ideal addition to my
Bachelor's Degree in engineering. I am proficient in English and quick
to learn new languages also.

I am appending my Resume to this email, for your kind consideration.
Hoping for a wonderful learning experience under your guidance.

Looking forward to a favourable response and thanking you for your time.

Yours Sincerely

2nd Yr Computer Science
Indian Institute of Technology, Delhi

Official Information of DE's of CS in IITD

Here is a list of courses and their pre-requirements--------


DEPARTMENT CORE (DC) :

CSL356 Analysis and Design of Algorithms : (3-1-0)
Pre-req : CSL201 & CSL105.

CSL373 : Operating Systems : (3-0-4) :
Pre-req : CSL201 & CSL211 & CSL302 .

CSL374 - - - Computer Networks - - - - (3-0-3) ----- (4.5)
pre-req: CSL201 & CSL 211 & EEL205

DEPARTMENT ELECTIVES (DE) :

Mini project : CSD310 : (0-0-6)
Pre-req : EC = 80 .

CSL303 : Logic for Computer Science : (3-0-2)
Pre-req : CSL201 .

CSL332 : Introduction to Database Systems (3-0-3) :
Pre-req : CSL201 .

CSL333 : Artificial Intelligence (3-0-2)
Pre-req : CSL201 .

CSL361 : Numerical And Scientific Computating : (3-1-2)
Pre-req : CSL101 / CSL102 & EC = 60 .

CSL362 : Simualtion and modelling : (3-0-2) :
Pre-req : CSL201 & MAL250 .

CSL705 : Theory of computation (3-1-0) :
Pre-req : CSL105 & EC = 90 .

CSL719 : Synthesis of Digital Systems :(3-0-2)
Pre-req : CSL316

CSL728 : Compiler Design : (3-0-3)
Pre-req : CSL302 & CSL705 .

CSL740 : Software Engineering : ( 3-0-2)
Pre-req : CSL201 & CSL302 .

CSL781 : Computer Graphics : (3-0-3)
Pre-req : CSL201 & EC =90 .

CSL783 : Digital Image Analysis : (3-0-3)
Pre-req : EEL205 & CSL201 & EC = 90 .

CSP315 : Embedded System Design Laboratory : (0-1-6) :
Pre-req : CSL211 .

CSR310 : Professional Practice : (0-1-2) :
Pre-req : EC = 60 .

CSS310 : Independent Study : (0-3-0) :
Pre-req : EC =60 .

small POLTU of IITD : Lost my convener elections for 3rd year

NOTE: When it comes to politics then nobody is your friend, everybody is a subject "which" has to be manipulated appropriately to need your ends.
Do business then mean business.(except for your relatives where you may win by losing)

Well, I saw many intelligent people vote on any basis other than their brain. But I don't think that they did so much wrong because if I would have been there, I would also have allowed that happen. But I still remember the faces of ignorant intelligent students, they were thrilled, happy and unconcerned of the actual results. Many of those were men of principles.

Result: Even good men do wrong things but they think those things are good in their domain. History gives us many proofs of this. Well, according to me, slavery of India and Indians was due to this reason. Its not that there were no good men in India but they did right things in their own domain by serving obediently to British rule. After 1857, there were only 10,000 (on an average) British troops to rule the whole nation and army was in millions.

ONE more important thing: At least ask your friend a favor when you need. Don't be shy. So that you know, upto which level is your friendship.

Wednesday, March 26, 2008

Got selected for Library secy

Hi. There is a news when I joined the session for meeting of our batch that mahesh gattani has slipped back for his post and I was next to him
for the post.
Well, as I was unanimously selected for the post, I did not have to present my statement of purpose. But lets see what have I got in my bag:

1. Collection of minor and major exam papers along with professor's name.

2. Bring new books e.g. fiction, CAT preparation psychology, IAS preparation and psychology.

3. Make a committee, if possible officially, and ask for representing common demands of books, exam papers, or any other help which is accessible from seniors or other source.

4. Make sure that the database of the library is properly maintained.

5. General check on the type of newspapers or magazines purchased.

6. Even the lighting of library needs to be improved.( Basic point but important )

Monday, March 17, 2008

Results of Conversations leading to truth

Well, I just had a conversation with my sister and it emerged as a good talk that i wanted myself to know and understand. Actually she was asking something that I always wanted to ask myself- "What are you doing nowadays in IITD?". She knows it that I am not a maggu type guy who always studies or likes to study. She put me through various options- " Lawn tennis, dance, table tennis, jogging, anything that is something worth mentioning or considering " but my response is- "I dedicate my time to all the downloaded stuff our "ODC" has . I watch movies-which I don't like now much , So I watch english t.v. shows-"heroes, the lost room , sherlock holmes, Friends, The Class, Desperate housewives, Roadies,.........and many more".So, the answer is -"You may do that stuff but you must do something that is something." So, she advises me to join dance classes, or learn swimming, or play chess on internet at international level. Though some of her ideas are vague and some are good but my response is direct-"If I have to choose something in my life, I will choose improvement of my life." like 'I will wake up early in the day, do yoga , go for walk, later concentrate on my subjects, improve my english speaking skills, vocabulary..... do something that I always wanted to do.'
This is the question that I always wnated to ask myself-"When will I start living life of my own style, the way I want to live, talk, behave , laugh or may be sleep."
The answer is " 'When I will' decide that from now on, no more lethargicness, just do whatever you decide to, live the way you feel."

Well, in the core of my heart, I know I won't be able to survive with this soundness function of mine.

Friday, March 14, 2008

Crippled without a stick

There are times when you feel crippled even without a stick, and there are times when you act like crippled and these are not physically but mentally. You are doing an assignment and you know can get the code from some xyz.com website, then you tend to act like crippled. and even though you pass the first test of ignoring the site, you may lose when you are stuck in the program. and its worst if you seek the help of your friend even without fully trying it.
As a matter of fact, I am hit by the latter one.

Terrible news

I was having my lunch when my chachiji called me and asked me if my brother, Nikhil has called me or any other family member has called me. I was enjoying my food and I hung up the phone saying "I will call u later". I call ed after having my lunch, I asked 'whats the matter?' and she gave me the terrible news that my mamaji expired today of heart - attack . I could not speak or talk more, I did not understand what to say or do? I was not in trauma at once but a sudden shock. I hung up the phone and just stood there. My friends came by and waving happily , screaming not knowing what a thunderstorm has just struck the ground. I tried to call my brother because I feel (safe) with him or there is something that says 'I am there for you' . I did not know how to talk to my mother. I was afraid and also feeling guilty in hesitating to call her. I just don't know why I haven't call her yet......I just really don't know.

Wednesday, March 12, 2008

Cycles of life

Well, in exams time, the most important thing is whether you study or not. In the time of playing sports or games in the field, the most important thing is whether you perform well or not along with no injuries.

Spiritual lectures

Unification is God. And the process to reach it is through implementation of logic and physics.

Friday, March 7, 2008

Prolog Assignment : Useful Links

Hey guys, I have been given a Prolog assignment and I really surfed a lot to get my assignment from net. In doing so, I came across many useful sites which help in better understanding of the language and its implementations.

Here are some useful links:
http://www.doc.gold.ac.uk/~mas02gw/prolog_tutorial/prologpages/lists.html
http://www.anselm.edu/homepage/mmalita/culpro/index.html
http://www.anselm.edu/homepage/mmalita/culpro/index.html
http://kti.mff.cuni.cz/~bartak/prolog/genealogy.html
http://www.engin.umd.umich.edu/CIS/course.des/cis479/prolog/matrix.pro
To execute any prolog program (test.pl) -- first install "xsb" for linux which is free or any other version of it.

Then on the command line --------
? ['test'] ------- will compile the program.

Here is a lecture series from one of these links:

Lecture 1

Program 1.1

likes(max, julia).

Program 1.2

likes(max, julia).
likes(max, amabel).

Program 1.3 - a definition of jealousy

likes(max, julia).
likes(max, amabel).

jealous(Jealous, Victim) :-
likes(Person, Jealous),
likes(Person, Victim).

Lecture 2

Program 2.1

lives_in(max, london).
likes(max, amabel).
child(charles, amy, brian).
price(template, 3, 4.75).
assembly(arm, joint(ball, 3)).

Program 2.2

lives_at(brian, boxgrave_rd).
lives_at(mandy, boxgrave_rd).

neighbours(Pers1, Pers2) :-
lives_at(Pers1, Road),
lives_at(Pers2, Road).

Program 2.3

pass(Pass_Mark) :-
module_pass(Mod_Pass),
module_no(Mod_No),
Pass_Mark is Mod_Pass * Mod_No.

% number of modules to be completed
module_no(6).

% individual module pass mark
module_pass(40).

friend_of(max, julia).
friend_of(max, amabel).
friend_of(amabel, richard).
% etc

% 1
friend(Pers, Friend) :-
friend_of(Pers, Friend).
% 2
friend(Pers, Friend) :-
friend_of(Pers, Inter),
friend(Inter, Friend).

Lecture 3

Program 3.1 - inefficient factorial

% 1 - "Input" number is 0
factorial(0, _, 1).

% 2 - base when all args unify
factorial(Numb, Numb, Numb).

% 3 - singly recursive
factorial(Numb, Count, Answ) :-
% don't count past Numb
Count < Numb,
% increment Count
Count1 is Count + 1,
% calculate Count1!
factorial(Numb, Count1, Answ1),
% calculate Count!
Answ is Answ1 * Count.

% factorial/2 calls factorial/3
factorial(Numb, Result) :-
factorial(Numb, 1, Result).

Program 3.2 - fibonacci numbers - not used in 2002/03

% 1 - terminating
fibonacci(1, 1).

% 2 - terminating
fibonacci(2, 1).

% 3 - doubly recursive
fibonacci(Numb, Fib) :-
Numb > 2,
Numb1 is Numb - 1,
Numb2 is Numb - 2,
fibonacci(Numb1, Fib1),
fibonacci(Numb2, Fib2),
Fib is Fib1 + Fib2.

Program 3.3 - displaying a binary tree

display_label(Label, Offset) :-
tab(Offset),
write(Label),
nl.

% 1 - boundary
display_tree(nil, _Offset).
% 2 - recursive
display_tree(bt(Left, Label, Right), Offset) :-
Offset1 is Offset + 5,
display_tree(Left, Offset1),
display_label(Label, Offset),
display_tree(Right, Offset1).

Program 3.4 - efficient factorial

factorial(Numb, Answ) :-
factorial(Numb, 1, 1, Answ).

% 1 - Number is 0
factorial(0, _, _, 1).
% 2 - Number is 2
factorial(Numb, Numb, Answ, Answ).
% 3 - recursive
factorial(Numb, Count, Answ0, Answ) :-
Numb > Count,
Count1 is Count + 1,
Answ1 is Answ0 * Count1,
factorial(Numb, Count1, Answ1, Answ).

Lecture 4

Program 4.1 - graph search

path(a,1).
path(a,3).

path(1,2).
path(1,4).

path(2,5).

path(3,4).

path(4,5).

% 1 - boundary
route(Start, End) :-
path(Start, End).
% 2 - recursive
route(Start, End) :-
path(Start, Via),
route(Via, End).

Program 4.2 - finding the length of a list


% 1 - terminating
len_of_list([], Length, Length).
% 2 - recursive
len_of_list([_Head|Tail], Length1, Length) :-
Length2 is Length1 + 1,
len_of_list(Tail, Length2, Length).

Program 4.3 - is an element a member of a list?


% 1 - terminating
memb(Elem, [Elem|_]).
% 2 - recursive
memb(Elem, [_|Tail]) :-
memb(Elem, Tail).

Program 4.4 - finding the element at the nth position in a list


% 1 - recursive
nth(Count, Item, [_|Tail]) :-
Count > 1,
Count0 is Count - 1,
nth(Count0, Item, Tail).
% 2 - terminating
nth(1, Head, [Head|_]).

Program 4.5 - appending two lists to make a third - or splitting a list into two lists


% 1 - terminating
app([], List, List).
% 2 - recursive
app([Head|L1], L2, [Head|L3]) :-
app(L1, L2, L3).

Program 4.6 - deleting an element from a list - an extension of memb/2 that also inserts an item into a list


% 1 - terminating
delete(Head, [Head|Tail], Tail).
% 2 - recursive
delete(Item, [Head|Tail], [Head|New_Tail]) :-
delete(Item, Tail, New_Tail).


Lecture 5

Program 5.1 - pairing items from two lists

/* ************************************************ */
/* */
/* pair/3 */
/* Summary: List 3 is pairs of items from */
/* Lists 1 & 2. */
/* Arg 1: List. */
/* Arg 2: List. */
/* Arg 3: List. */
/* Author: P J Hancox */
/* Date: 29 October 1998 */
/* */
/* ************************************************ */

% 1 - terminating 1
pair([], [Head|Tail], [Head|Tail]).
% 2 - terminating 2
pair(List, [], List).
% 3 - recursive
pair([Head1|Tail1], [Head2|Tail2],
['<', Head1, Head2, '>'|Tail3]) :-
pair(Tail1, Tail2, Tail3).

Program 5.2 - deleting an element from a list - an extension of memb/2 that also inserts an item into a list. Also used in Lecture 4


/* ************************************************ */
/* */
/* delete/3 */
/* Summary: Arg 3 is Arg 2 with an instance of */
/* Arg 1 deleted. */
/* Arg 1: Term. */
/* Arg 2: List. */
/* Arg 3: List. */
/* Author: P J Hancox */
/* Date: 22 October 1999 */
/* */
/* ************************************************ */

% 1 - terminating
delete(Head, [Head|Tail], Tail).
% 2 - recursive
delete(Item, [Head|Tail], [Head|New_Tail]) :-
delete(Item, Tail, New_Tail).

Program 5.3 - flattens a list


/* ************************************************ */
/* */
/* flatten/2 */
/* Summary: Arg 2 is Arg 1 with all items */
/* extracted from sublists: eg */
/* | ?-flatten([[a,b],e,[[f]]],R). */
/* R = [a,b,e,f] ? ; */
/* no */
/* Arg 1: List. */
/* Arg 2: List. */
/* Author: P J Hancox */
/* Date: 29 October 1999 */
/* */
/* ************************************************ */

% 1 - terminating
flatten([], []).
% 2 - recursive
flatten([Item|Tail1], [Item|Tail2]) :-
\+ is_a_list(Item),
flatten(Tail1, Tail2).
% 3 - recursive
flatten([Item|Tail1], List2) :-
is_a_list(Item),
flatten(Item, List1),
flatten(Tail1, Tail2),
app(List1, Tail2, List2).


/* ************************************************ */
/* */
/* app/3 */
/* Summary: True if Arg 3 is Arg 2 appended to */
/* Arg 1. */
/* Arg 1: List. */
/* Arg 2: List. */
/* Arg 3: List. */
/* Author: P J Hancox */
/* Date: 29 October 1999 */
/* */
/* ************************************************ */

% 1 - terminating
app([], List, List).
% 2 - recursive
app([Head|List1], List2, [Head|List3]) :-
app(List1, List2, List3).


/* ************************************************ */
/* */
/* is_a_list/1 */
/* Summary: True if Arg1 is instantiated and a */
/* list. */
/* Arg 1: List. */
/* Author: P J Hancox */
/* Date: 29 October 1999 */
/* */
/* ************************************************ */

is_a_list(List) :-
nonvar(List),
is_a_list1(List).


/* ************************************************ */
/* */
/* is_a_list1/1 */
/* Summary: True if Arg1 unifies with an empty */
/* list or a list with a head and tail. */
/* Arg 1: List. */
/* Author: P J Hancox */
/* Date: 29 October 1999 */
/* */
/* ************************************************ */

% 1 - list is empty
is_a_list1([]).
% 2 - list has > 0 members
is_a_list1([_|_]).

Program 5.4 - reversing a list - inefficiently


/* ************************************************ */
/* */
/* reverse_naive/2 */
/* Summary: True if Arg2 is Arg 1 in reverse */
/* order. */
/* Arg 1: List. */
/* Arg 2: List. */
/* Author: P J Hancox */
/* Date: 29 October 1999 */
/* */
/* ************************************************ */

% 1 terminating
reverse_naive([], []).
% 2 recursive
reverse_naive([Head|Tail1], Reversed) :-
reverse_naive(Tail1, Tail2),
app(Tail2, [Head], Reversed).

Program 5.5 - reversing a list - efficiently


/* ************************************************ */
/* */
/* reverse_acc/2 */
/* Summary: True if Arg2 is Arg 1 in reverse */
/* order. */
/* Arg 1: List. */
/* Arg 2: List. */
/* Author: P J Hancox */
/* Date: 29 October 1999 */
/* */
/* ************************************************ */

% 1
reverse_acc(List, Tsil) :-
reverse_acc(List, [], Tsil).
/* ************************************************ */
/* */
/* reverse_acc/3 */
/* Summary: True if Arg3 is Arg 1 in reverse */
/* order. */
/* Arg 1: List. */
/* Arg 2: List. */
/* Arg 3: List. */
/* Author: P J Hancox */
/* Date: 29 October 1999 */
/* */
/* ************************************************ */

% 1 terminating condition
reverse_acc([], Reversed, Reversed).
% 2 recursive
reverse_acc([Head|Tail], Rest, Reversed) :-
reverse_acc(Tail, [Head|Rest], Reversed).


Lecture 6

Program 6.1 - classifying a list into vowels and consonants.

/* ************************************************ */
/* */
/* vowel/1 */
/* Summary: True if Arg1 is a vowel. */
/* Arg 1: Letter. */
/* Author: P J Hancox */
/* Date: 30 October 2002 */
/* */
/* ************************************************ */

vowel(a).
vowel(e).
vowel(i).
vowel(o).
vowel(u).


/* ************************************************ */
/* */
/* classify/3 */
/* Summary: Classifies a list of letters into two */
/* lists: vowels and consonants. */
/* Arg 1: List of letters. */
/* Arg 2: List of vowels. */
/* Arg 3: List of consonants. */
/* Author: P J Hancox */
/* Date: 30 October 2002 */
/* */
/* ************************************************ */

% 1 - terminating
classify([], [], []).
% 2 - recursive: letter is a vowel
classify([Vowel|Tail], [Vowel|Vowel_Tail], Non_Vowels) :-
vowel(Vowel),
classify(Tail, Vowel_Tail, Non_Vowels).
% 3 - recursive: letter is a consonant
classify([Non_Vowel|Tail], Vowels, [Non_Vowel|Non_Vowel_Tail]) :-
classify(Tail, Vowels, Non_Vowel_Tail).

Program 6.2 - buggy version of member/2 to show singleton variables

/* ************************************************ */
/* */
/* member/2 */
/* Summary: True if Arg1 occurs in Arg2. */
/* Arg 1: Term. */
/* Arg 2: List. */
/* Author: P J Hancox */
/* Date: 30 October 2002 */
/* */
/* ************************************************ */

% 1 - terminating
member(Head, [Heda|_]).
% 2 - recursive
member(Elem, [_|Tail]) :-
member(Elem, Tail).


Lecture 7

Program 7.1 - a simple course database program


semester2_1 -->
mod, mod, mod, mod,
prog_option,
options2_1.

options2_1 -->
option.
options2_1 -->
elective.

mod --> [sem222].
mod --> [sem236].
mod --> [sem240].
mod --> [sem232a].

prog_option --> [sem241].
prog_option --> [sem242].

elective --> [comm271].

option --> [sem227].
option --> [sem2a2].

Program 7.2 - a simple course database program that checks the name of the student


semester2_1(Student) -->
mod(Student),
mod(Student),
mod(Student),
mod(Student),
prog_option(Student),
options2_1(Student).

options2_1(Student) -->
option(Student).
options2_1(Student) -->
elective(Student).

mod(james) --> [sem222].
mod(james) --> [sem236].
mod(james) --> [sem240].
mod(james) --> [sem232a].

prog_option(james) --> [sem242].

elective(james) --> [comm271].

option(ben) --> [sem227].

Program 7.3 - a simple course database program that checks the name of the student and calculates a total mark


semester2_1(Student, Total_Mark) -->
mod(Student, Mark1),
mod(Student, Mark2),
mod(Student, Mark3),
mod(Student, Mark4),
prog_option(Student, Mark5),
options2_1(Student, Mark6),
{ Total_Mark is Mark1 + Mark2 + Mark3 +
Mark4 + Mark5 + Mark6 }.

options2_1(Student, Mark) -->
option(Student, Mark).
options2_1(Student, Mark) -->
elective(Student, Mark).

mod(james, 57) --> [sem222].
mod(james, 53) --> [sem236].
mod(james, 62) --> [sem240].
mod(james, 55) --> [sem232a].

prog_option(james, 95) --> [sem242].

elective(james, 68) --> [comm271].

option(ben, 54) --> [sem227].

Program 7.4 - a demonstration of how to build a structure representiong an object.

This technique is often used to represent syntactic structure in grammar but can equally well work for other things. This example is the structure of a door.

doors(door(Panel, Hinges, Lock)) -->
hinges(Hinges),
door_panel(Panel),
lock(Lock).


hinges(hinge(brass, 3)) -->
[hinge].
hinges(hinge(steel, 2)) -->
[hinge].

door_panel(panel(white)) -->
[panel].
door_panel(panel(wood_effect)) -->
[panel].

lock(lock(yale)) -->
[lock].

Program 7.5 - a DCG for a Noun Phrase that will not terminate


np(np(NP1, NP2)) -->
np(NP1),
noun(NP2).
np(np(Det)) -->
det(Det).

det(det(the)) --> [the].

noun(noun(car)) --> [car].

Program 7.6 - a DCG for a Noun Phrase that will terminate because of the use of modified functors


np(np(NP1, NP2)) -->
np1(NP1),
noun(NP2).

np1(np(Det)) -->
det(Det).

det(det(the)) --> [the].

noun(noun(car)) --> [car].

Program 7.7 - a DCG for a Noun Phrase that will terminate because of the use of an history list


np(np(NP1, NP2), History0, History, S0, S) :-
\+ memb(entry(np, S0), History0),
np(NP1, [entry(np, S0)|History0], History1, S0, S1),
noun(NP2, [entry(noun, S1)|History1], History, S1, S).

np(np(Det), History0, History) -->
det(Det, History0, History).

det(det(the), History, History) --> [the].

noun(noun(car), History, History) --> [car].

% 1 - terminating
memb(Elem, [Elem|_]).
% 2 - recursive
memb(Elem, [Head|Tail]) :-
\+ (Elem = Head),
memb(Elem, Tail).

Program 7.8 - a DCG for a Noun Phrase that will terminate because of the use of a limited history list


np(np(NP1, NP2), History0, History, S0, S) :-
\+ memb(entry(np, S0), History0),
np(NP1, [entry(np, S0)|History0], History1, S0, S1),
noun(NP2, [entry(noun, S1)|History1], History, S1, S).

np(np(Det), History0, History) -->
det(Det, History0, History).

det(det(the), _History, []) --> [the].

noun(noun(car), _History, []) --> [car].

Program 7.9 - a DCG version of sum_sublist/3


sum_sublist(Elem, List, Sum) :-
find_sublist(Elem, List, Sublist),
sum(Elem, 0, Sum, Sublist, _).

% 1 - terminating
find_sublist(Elem) -->
[Elem].
% 2 - recursive
find_sublist(Elem) -->
[Head],
{ \+ (Head = Elem)},
find_sublist(Elem).

% 1 - terminating
sum(0, Sum, Sum) --> [].
% 2 - recursive
sum(Count, Sum, Sum2) -->
[Head],
{ Sum1 is Sum + Head,
Count1 is Count - 1},
sum(Count1, Sum1, Sum2).


Lecture 8

Program 8.1 - appending two lists to make a third - or splitting a list into two lists


/* ************************************************ */
/* */
/* app/3 */
/* Summary: True if Arg 3 is Arg 2 appended to */
/* Arg 1. */
/* Arg 1: List. */
/* Arg 2: List. */
/* Arg 3: List. */
/* Author: P J Hancox */
/* Date: 29 October 1999 */
/* */
/* ************************************************ */

% 1 - terminating
app([], List, List).
% 2 - recursive
app([Hd|L1],L2,[Hd|L3]) :-
app(L1, L2, L3).

Program 8.2 - is an element a member of a list?


/* ************************************************ */
/* */
/* memb/2 */
/* Summary: True if Arg1 is in Arg2. */
/* Arg 1: Term. */
/* Arg 2: List. */
/* Author: P J Hancox */
/* Date: 22 October 1999 */
/* */
/* ************************************************ */

% 1 - terminating
memb(Elem, [Elem|_]).
% 2 - recursive
memb(Elem, [_|Tail]) :-
memb(Elem, Tail).

Program 8.3 - updating a count of a letter

/* ************************************************ */
/* */
/* update_count/3 */
/* Summary: Increments Arg3 is Arg1 is "a". */
/* Arg 1: Vowel. */
/* Arg 2: Number (accumulator). */
/* Arg 3: Number. */
/* Author: P J Hancox */
/* Date: 22 October 1999 */
/* */
/* ************************************************ */

% 1 - a
update_count(a, A, A1) :-
A1 is A + 1.
% 2 - not "a"
update_count(Letter, A, A) :-
Letter \== a.

Program 8.4 - inefficient factorial

/* ************************************************ */
/* */
/* fac1/2 */
/* Summary: True if Arg2 is the factorial of */
/* Arg1. */
/* Arg 1: Number. */
/* Arg 2: Number. */
/* Author: P J Hancox */
/* Date: 22 October 1999 */
/* */
/* ************************************************ */

% 1 - terminating
fac1(0, 1).
% 2 - recursive - but goes into infinite recursion
% on backtracking
fac1(N, Factorial) :-
N1 is N - 1,
fac1(N1, Factorial1),
Factorial is N * Factorial1.

Program 8.5 - more efficient factorial - using accumulator

/* ************************************************ */
/* */
/* fac2/2 */
/* Summary: True if Arg2 is the factorial of */
/* Arg1. Calls fac2/3. */
/* Arg 1: Number. */
/* Arg 2: Number. */
/* Author: P J Hancox */
/* Date: 22 October 1999 */
/* */
/* ************************************************ */

fac2(Numb, Fact) :-
fac2(Numb, 1, Fact).


/* ************************************************ */
/* */
/* fac2/3 */
/* Summary: True if Arg3 is the factorial of */
/* Arg1. */
/* Arg 1: Number. */
/* Arg 2: Number (accumulator). */
/* Arg 2: Number. */
/* Author: P J Hancox */
/* Date: 22 October 1999 */
/* */
/* ************************************************ */

% 1 - terminating
fac2(0, Fact, Fact).
% 2 - recursive - but goes into infinite recursion
% on backtracking
fac2(N, Accum, Fact) :-
N1 is N - 1,
tab(N1), write(Accum), nl, % we can output this
Accum1 is N * Accum,
fac2(N1, Accum1, Fact).

Program 8.6 - efficient factorial - using accumulator and if...then...else

/* ************************************************ */
/* */
/* fac3/2 */
/* Summary: True if Arg2 is the factorial of */
/* Arg1. Calls fac3/3. */
/* Arg 1: Number. */
/* Arg 2: Number. */
/* Author: P J Hancox */
/* Date: 22 October 1999 */
/* */
/* ************************************************ */

fac3(Numb, Fact) :-
fac3(Numb, 1, Fact).


/* ************************************************ */
/* */
/* fac3/3 */
/* Summary: True if Arg3 is the factorial of */
/* Arg1. Uses if...then...else. */
/* Arg 1: Number. */
/* Arg 2: Number (accumulator). */
/* Arg 2: Number. */
/* Author: P J Hancox */
/* Date: 22 October 1999 */
/* */
/* ************************************************ */

fac3(N, Accum, Fact) :-
( N > 0 ->
N1 is N - 1,
Accum1 is N * Accum,
fac3(N1, Accum1, Fact)
; N =:= 0 ->
Accum = Fact
).

Program 8.7 - maximum of two numbers with a green cut

/* ************************************************ */
/* */
/* max1/3 */
/* Summary: True if Arg3 is the maximum of Arg1 */
/* or Arg2. Works correctly. */
/* Arg 1: Number. */
/* Arg 2: Number. */
/* Arg 2: Number. */
/* Author: P J Hancox */
/* Date: 22 October 1999 */
/* */
/* ************************************************ */

max1(X, Y, X) :-
X >= Y, !. % green cut
max1(X, Y, Y) :-
X < Y.

Program 8.8 - maximum of two numbers with a red cut - gives incorrect results

/* ************************************************ */
/* */
/* max2/3 */
/* Summary: True if Arg3 is the maximum of Arg1 */
/* or Arg2. Works incorrectly because */
/* it allows max2(2,1,1). */
/* Arg 1: Number. */
/* Arg 2: Number. */
/* Arg 2: Number. */
/* Author: P J Hancox */
/* Date: 22 October 1999 */
/* */
/* ************************************************ */

max2(X, Y, X) :-
X >= Y, !.
max2(_X, Y, Y).

Program 8.9 - maximum of two numbers using if...then...else

/* ************************************************ */
/* */
/* max3/3 */
/* Summary: True if Arg3 is the maximum of Arg1 */
/* or Arg2. Works correctly. Uses */
/* if...then...else. Not used in */
/* lecture. */
/* Arg 1: Number. */
/* Arg 2: Number. */
/* Arg 2: Number. */
/* Author: P J Hancox */
/* Date: 22 October 1999 */
/* */
/* ************************************************ */

max3(X, Y, Z) :-
( X >= Y ->
X = Z
; X <>
Y = Z
).


Lecture 9

Program 9.1 - a rule base for defining relationships between parents, children and siblings

The logical inference maker requires rules to work.


% The following must be present - but they are better
% placed in the inference engine.

:- op(400, xfx, if).
:- op(300, xfy, and).

/* ************************************************ */
/* */
/* Rules of inference */
/* */
/* ************************************************ */

father(Father, Child) if
parent(Father, Child) and
male(Father).

mother(Mother, Child) if
parent(Mother, Child) and
female(Mother).

child(Child, Parent) if
parent(Parent, Child).

sibling(Sibling1, Sibling2) if
father(Father, Sibling1) and
father(Father, Sibling2) and
mother(Mother, Sibling1) and
mother(Mother, Sibling2) and
not_equals(Sibling1, Sibling2).

brother(Brother, Sibling) if
sibling(Brother, Sibling) and
male(Brother).

sister(Sister, Sibling) if
sibling(Sister, Sibling) and
female(Sister).

step_sibling(Sibling1, Sibling2) if
father(Father1, Sibling1) and
father(Father2, Sibling2) and
mother(Mother, Sibling1) and
mother(Mother, Sibling2) and
not_equals(Sibling1, Sibling2) and
not_equals(Father1, Father2).

step_sibling(Sibling1, Sibling2) if
father(Father, Sibling1) and
father(Father, Sibling2) and
mother(Mother1, Sibling1) and
mother(Mother2, Sibling2) and
not_equals(Sibling1, Sibling2) and
not_equals(Mother1, Mother2).

step_brother(Brother, Sibling) if
step_sibling(Brother, Sibling) and
male(Brother).

step_sister(Sister, Sibling) if
step_sibling(Sister, Sibling) and
female(Sister).

married(Husband, Wife) if
father(Husband, Child) and
mother(Wife, Child).

Program 9.2 - logical inference by forward chaining

The top-level predicate is go. It then needs to be fed facts, eg:

To stop the program, type stop.


/* ************************************************ */
/* */
/* Logical inference by forward chaining */
/* Taken from: Gazdar, G. and Mellish, C. */
/* Natural Language Processing in Prolog. */
/* Addison-Wesley, 1989. pp 333-339. */
/* */
/* ************************************************ */

:- op(400, xfx, if).
:- op(300, xfy, and).

:- dynamic(fact/1).


/* ************************************************ */
/* */
/* go/0 */
/* Summary: Runs inference engine. Slightly */
/* adapted from Gazdar & Mellish, p 337. */
/* Author: P J Hancox */
/* Date: 3 December 1999 */
/* */
/* ************************************************ */

go :-
write('Input something: '),
read(Fact),
nl,
add(Fact, 'user input'),
go.


/* ************************************************ */
/* */
/* find_new_consequences/1 */
/* Summary: Finds all new facts inferable from */
/* Arg 1. Based on Gazdar & Mellish's */
/* predicate of the same name, but */
/* doesn't rely of fail/0. */
/* Arg 1: Fact, eg mother(ann, elizabeth). */
/* Author: P J Hancox */
/* Date: 3 December 1999 */
/* */
/* ************************************************ */

find_new_consequences(Fact) :-
findall(new_facts(Theorem, Premises),
(Theorem if Premises,
select(Fact, Premises, Remainder),
all_facts(Remainder)),
New_Facts),
add_new_facts(New_Facts).


/* ************************************************ */
/* */
/* add_new_facts/1 */
/* Summary: Add each new fact to the database. */
/* Arg 1: List of facts. */
/* Author: P J Hancox */
/* Date: 3 December 1999 */
/* */
/* ************************************************ */

% 1- terminating
add_new_facts([]).
% 2 - recursive
add_new_facts([new_facts(Theorem, Premises)|New_Facts]) :-
add(Theorem, Premises),
add_new_facts(New_Facts).


/* ************************************************ */
/* */
/* all_facts/1 */
/* Summary: True is a conjunction of facts is in */
/* the database. Slightly adapted from */
/* Gazdar & Mellish. */
/* Arg 1: Facts (in form F't or (F't and F'ts)) */
/* Author: P J Hancox */
/* Date: 3 December 1999 */
/* */
/* ************************************************ */

% 1 - terminating
all_facts(Fact) :-
\+ (Fact = (_ and _)),
!, % green cut
fact(Fact).
% 2 - recursive
all_facts(Fact and Facts) :-
fact(Fact),
all_facts(Facts).

/* ************************************************ */
/* */
/* select/3 */
/* Summary: True if Arg1 is contained in Arg2. */
/* Arg3 is Arg2 minus Arg1. */
/* Arg 1: Fact */
/* Arg 2: Facts (in form F't or (F't and F'ts)) */
/* Arg 3: Facts (in form true or (F't and F'ts))*/
/* Author: Gazdar & Mellish, p 336. */
/* */
/* ************************************************ */

% 1 - Arg1 and Arg2 match exactly - return "true"
select(Fact, Fact, true).
% 2 - Arg1 matches head of Arg2 exactly - return
% remainder of Arg2
select(Fact, Fact and Facts, Facts).
% 3 - Arg1 isn't the same as head of Arg2, so
% search in remainder of Arg2
select(Fact1, Fact2 and Facts1, Fact2 and Facts2) :-
select(Fact1, Facts1, Facts2).


/* ************************************************ */
/* */
/* add/2 */
/* Summary: Adds new facts to the database and */
/* makes new inferences and outputs new */
/* inferences. Adapted from Gazdar & */
/* Mellish, p 335. */
/* Arg 1: Fact */
/* Arg 2: Premises */
/* Author: P J Hancox */
/* Date: 3 December 1999 */
/* */
/* ************************************************ */

% 1 - stops program - added by PJH
add(stop, _) :-
abort.
% 2 - fact already exists in the database
add(Fact, _) :-
fact(Fact),
!. % green cut
% 3 - fact doesn't exist in the database
% add to db and make new inferences
add(Fact, Premise) :-
\+ fact(Fact),
assert(fact(Fact)),
tab(5),
write('Adding: '),
write(Fact),
nl,
tab(14),
write('from '),
display_premise(Premise, 14),
find_new_consequences(Fact).


/* ************************************************ */
/* */
/* fact/1 */
/* Summary: Base facts. Adapted from Gazdar & */
/* Mellish, p 336. */
/* Arg 1: true */
/* Author: P J Hancox */
/* Date: 3 December 1999 */
/* */
/* ************************************************ */

fact(true).

fact(equals(X, Y)) :-
nonvar(X),
X == Y. % assumes it never sees a variable.

fact(not_equals(X, Y)) :-
nonvar(X),
X \== Y. % assumes it never sees a variable.



/* ************************************************ */
/* */
/* display_premise/2 */
/* Summary: Displays the facts from which the */
/* inference was made. */
/* Arg 1: Premises */
/* Arg 2: Offset (tab width) */
/* Author: P J Hancox */
/* Date: 3 December 1999 */
/* */
/* ************************************************ */

% 1 - terminating
display_premise(Premise, _Offset) :-
\+ (Premise = (_ and _)),
!, % green cut
display_premise(Premise).
% 2 - recursive
display_premise(Premise and Premises, Offset) :-
display_premise(Premise),
tab(Offset),
write('and '),
display_premise(Premises, Offset).


/* ************************************************ */
/* */
/* display_premise/1 */
/* Summary: Displays a fact from which the */
/* inference was made. */
/* Arg 1: Premise */
/* Author: P J Hancox */
/* Date: 3 December 1999 */
/* */
/* ************************************************ */

display_premise(Premise) :-
write(Premise),
nl.

Program 9.3 - a DCG and associated code to interface with the inference maker.

Grammar and dictionary describe some family relations of the Tudor kings and queens of England.

The top-level predicate is run.. Valid sentences include:

To stop the program, enter [stop].


s(_, _) -->
[stop],
{ abort }.

s(s(NP, VP), VP_Sem) -->
np(NP, NP_Sem),
vp(VP, VP_Sem, NP_Sem).

np(propn('Henry VII'), 'Henry VII') -->
[henry7].
np(propn('Henry VIII'), 'Henry VIII') -->
[henry8].
np(propn('Elizabeth of York'), 'Elizabeth of York') -->
[elizabeth_of_york].
np(propn('Catherine of Aragon'), 'Catherine of Aragon') -->
[catherine_of_aragon].
np(propn('Ann Boleyn'), 'Ann Boleyn') -->
[ann_boleyn].
np(propn('Jane Seymour'), 'Jane Seymour') -->
[jane].
np(propn('Anne of Cleeves'), 'Anne of Cleves') -->
[ann_of_cleeves].
np(propn('Catherine Howard'), 'Catherine Howard') -->
[catherine_howard].
np(propn('Catherine Parr'), 'Catherine Parr') -->
[catherine_parr].
np(propn('Edward VI'), 'Edward VI') -->
[edward].
np(propn('Mary Tudor'), 'Mary') -->
[mary].
np(propn('Elizabeth I'), 'Elizabeth I') -->
[elizabeth].

np(np(Det, Noun), Sem) -->
det(Det),
noun(Noun, Sem).

pp(pp(Prep, NP), Sem) -->
prep(Prep),
np(NP, Sem).

vp(vp(is, Adj_P), Sem, Agent) -->
[is],
adj_phrase(Adj_P, Sem),
{ functor(Sem, _, 1),
arg(1, Sem, Agent) }.

vp(vp(is, NP, PP), Sem, Agent) -->
[is],
np(NP, Sem),
pp(PP, Patient),
{ functor(Sem, _, 2),
arg(1, Sem, Agent),
arg(2, Sem, Patient) }.

adj_phrase(adj_p(NP), Sem) -->
np(NP, Sem).
adj_phrase(adj_p(Adj), Sem) -->
adj(Adj, Sem).

adj(adj(female), female(_)) -->
[female].
adj(adj(male), male(_)) -->
[male].

det(det(a)) -->
[a].
det(det(the)) -->
[the].

noun(noun(parent), parent(_, _)) -->
[parent].

prep(prep(of)) -->
[of].

run :-
write('Input text: '),
read(Text),
nl,
s(Tree, Sem, Text, []),
write('Syntax: '),
write(Tree),
nl,
write('Semantics: '),
write(Sem),
nl,
add(Sem, 'user input'),
nl,
run.

Program 9.4 - code for running pre-prepared examples and two examples.

The examples are based on the family relations of the Tudor kings and queens of England. No guarantee is given of accuracy as the examples have been devised from memory - in the absence of a suitable family tree.

The top-level predicate is run/1.where the argument is the identifier of a group of queries, eg:

run(Text) :-
write('Input text: '),
write(Text),
nl,
s(Tree, Sem, Text, []),
tab(5),
write('Syntax: '),
write(Tree),
nl,
tab(5),
write('Semantics: '),
write(Sem),
nl,
add(Sem, 'user input'),
nl.

example(Corpus) :-
findall(Text, text(Corpus, Text), Texts),
process_texts(Texts).

process_texts([]).
process_texts([Head|Tail]) :-
run(Head),
process_texts(Tail).

text(1, [henry8, is, male]).
text(1, [henry8, is, a, parent, of, mary]).

text(2, [henry8, is, male]).
text(2, [catherine_of_aragon, is, female]).
text(2, [ann_boleyn, is, female]).
text(2, [catherine_parr, is, female]).
text(2, [elizabeth, is, female]).
text(2, [mary, is, female]).
text(2, [edward, is, male]).
text(2, [henry8, is, a, parent, of, mary]).
text(2, [henry8, is, a, parent, of, elizabeth]).
text(2, [henry8, is, a, parent, of, edward]).
text(2, [catherine_of_aragon, is, a, parent, of, mary]).
text(2, [ann_boleyn, is, a, parent, of, elizabeth]).
text(2, [catherine_parr, is, a, parent, of, edward]).


Lecture 10

Program 10.1 - a Prolog program for solving a puzzle


/* ************************************************ */
/* */
/* board/3 */
/* Arg 1: board as a structured object */
/* Arg 2: board as a list */
/* Arg 3: board as a list of rows, columns */
/* and groups of squares */
/* Summary: Represents the board in several ways */
/* to aid processing. Note the use of */
/* shared variables to ensure that the */
/* instantiation of a variable in one */
/* argument of board/3 instantiates the */
/* all instances of the variable. */
/* Author: P J Hancox */
/* Date: 27 November 2004 */
/* */
/* ************************************************ */

board(square(A1, A2, A3, A4, A5, A6,
B1, B2, B3, B4, B5, B6,
C1, C2, C3, C4, C5, C6,
D1, D2, D3, D4, D5, D6,
E1, E2, E3, E4, E5, E6,
F1, F2, F3, F4, F5, F6),
square([A1, A2, A3, A4, A5, A6,
B1, B2, B3, B4, B5, B6,
C1, C2, C3, C4, C5, C6,
D1, D2, D3, D4, D5, D6,
E1, E2, E3, E4, E5, E6,
F1, F2, F3, F4, F5, F6]),
sizes([ % rows
six(A1, A2, A3, A4, A5, A6),
six(B1, B2, B3, B4, B5, B6),
six(C1, C2, C3, C4, C5, C6),
six(D1, D2, D3, D4, D5, D6),
six(E1, E2, E3, E4, E5, E6),
six(F1, F2, F3, F4, F5, F6),

% columns
six(A1, B1, C1, D1, E1, F1),
six(A2, B2, C2, D2, E2, F2),
six(A3, B3, C3, D3, E3, F3),
six(A4, B4, C4, D4, E4, F4),
six(A5, B5, C5, D5, E5, F5),
six(A6, B6, C6, D6, E6, F6d),

% groups
six(A1, A2, A3, A4, B2, C2),
six(A5, A6, B3, B4, B5, C3),
six(B1, C1, D1, D2, D3, E2),
six(B6, C4, C5, C6, D6, E6),
six(D4, D5, E5, F4, F5, F6),
six(E1, E3, E4, F1, F2, F3)])).


/* ************************************************ */
/* */
/* candidates/1 */
/* Arg 1: list of candidates */
/* Summary: Candidates may be used to fill */
/* squares. */
/* Author: P J Hancox */
/* Date: 27 November 2004 */
/* */
/* ************************************************ */

candidates([1,2,3,4,5,6]).


/* ************************************************ */
/* */
/* solve/0 */
/* Summary: Generates and tests solutions to the */
/* puzzle, outputing successful */
/* solutions. */
/* Author: P J Hancox */
/* Date: 27 November 2004 */
/* */
/* ************************************************ */

solve :-
board(Display_Square, square(Square), sizes(Sixes)),
candidates(Candidates),
generate(Square, Candidates),
display_board(Display_Square),

test(Sixes),
display_board(Display_Square).


/* ************************************************ */
/* */
/* generate/2 */
/* Arg 1: list of squares on the board */
/* Arg 2: list of candidates */
/* Summary: Fills squares on the board to */
/* generate possible solutions. */
/* Author: P J Hancox */
/* Date: 27 November 2004 */
/* */
/* ************************************************ */

% 1 - terminating
generate([], _Candiates).
% 2 - recursive
generate([Square|Squares], Candiates) :-
member(Square, Candiates),
generate(Squares, Candiates).


/* ************************************************ */
/* */
/* test/1 */
/* Arg 1: list of rows, columns and groups of */
/* squares on the board */
/* Summary: Tests lines of six squares to ensure */
/* the squares are unique. */
/* Author: P J Hancox */
/* Date: 27 November 2004 */
/* */
/* ************************************************ */

% 1 - terminating
test([]).
% 2 - recursive
test([Six|Sixes]) :-
test_six(Six),
test(Sixes).


/* ************************************************ */
/* */
/* test/1 */
/* Arg 1: a row, column or group of squares */
/* Summary: Tests line of six squares to ensure */
/* the squares are unique. */
/* Author: P J Hancox */
/* Date: 27 November 2004 */
/* */
/* ************************************************ */

test_six(six(Sq1, Sq2, Sq3, Sq4, Sq5, Sq6)) :-
Sq1 =\= Sq2,
Sq1 =\= Sq3,
Sq1 =\= Sq4,
Sq1 =\= Sq5,
Sq1 =\= Sq6,
Sq2 =\= Sq3,
Sq2 =\= Sq4,
Sq2 =\= Sq5,
Sq2 =\= Sq6,
Sq3 =\= Sq4,
Sq3 =\= Sq5,
Sq3 =\= Sq6,
Sq4 =\= Sq5,
Sq4 =\= Sq6,
Sq5 =\= Sq6.


/* ************************************************ */
/* */
/* display_board/1 */
/* Arg 1: board as a structured object */
/* Summary: Displays the board. */
/* Author: P J Hancox */
/* Date: 27 November 2004 */
/* */
/* ************************************************ */

display_board(Board) :-
display_board(0, Board).


/* ************************************************ */
/* */
/* display_board/1 */
/* Arg 1: counter */
/* Arg 2: board as a structured object */
/* Summary: Displays the board. */
/* Author: P J Hancox */
/* Date: 27 November 2004 */
/* */
/* ************************************************ */

% 1 - terminating
display_board(36, _Board) :-
nl, nl.
% 2 - recursive
display_board(Index, Board) :-
Index < 36,
Index1 is Index + 1,
arg(Index1, Board, Cell),
display_square(Index1, Cell),
display_board(Index1, Board).


/* ************************************************ */
/* */
/* display_square/1 */
/* Arg 1: counter */
/* Arg 2: individual square of the board */
/* Summary: Displays an individual square and, if */
/* it is the 6th square of a row, moves */
/* to a new line. */
/* Author: P J Hancox */
/* Date: 27 November 2004 */
/* */
/* ************************************************ */

display_square(Index, Square) :-
( nonvar(Square) ->
write(' '), write(Square), write(' ')
;
write(' ')
),
( (Index) // 6 =:= (Index)/6 ->
nl
;
true
).


/* ************************************************ */
/* */
/* member/2 */
/* */
/* ************************************************ */

% 1 - terminating
member(Term, [Term|_]).
% 2 - recursive
member(Term, [_|Tail]) :-
member(Term, Tail).


/* ************************************************ */
/* */
/* End of program */
/* */
/* ************************************************ */

Program 10.2 - CLP(R) and Prolog programs for converting Celsius and Fahrenheit

:- ensure_loaded(library(clpr)).


/* ************************************************ */
/* */
/* convert_clpr/2 */
/* Arg 1: temperature in degrees Celsius */
/* Arg 2: temperature in degrees Fahrenheit */
/* Summary: Converts between Celsius and */
/* Fahrenheit. */
/* Author: P J Hancox */
/* Date: 27 November 2004 */
/* */
/* ************************************************ */

convert_clpr(Celsius, Fahrenheit) :-
{ Celsius = (Fahrenheit - 32) * 5 / 9 }.


/* ************************************************ */
/* */
/* convert_pl/2 */
/* Arg 1: temperature in degrees Celsius */
/* Arg 2: temperature in degrees Fahrenheit */
/* Summary: Converts Fahrenheit into Celsius. */
/* Author: P J Hancox */
/* Date: 27 November 2004 */
/* */
/* ************************************************ */

convert_pl(Celsius, Fahrenheit) :-
Celsius is (Fahrenheit - 32) * 5 / 9.


/* ************************************************ */
/* */
/* End of program */
/* */
/* ************************************************ */

Program 10.3 - CLP(FD) program for solving a puzzle

:- ensure_loaded(library(clpfd)).


/* ************************************************ */
/* */
/* board/1 */
/* Arg 1: board as a structured object */
/* Summary: Define the domains of the variables */
/* representing the board; imposes */
/* constraints on these variables; */
/* generates the solutions by */
/* "labelling". */
/* Author: P J Hancox */
/* Date: 27 November 2004 */
/* */
/* ************************************************ */

board(square(A1, A2, A3, A4, A5, A6,
B1, B2, B3, B4, B5, B6,
C1, C2, C3, C4, C5, C6,
D1, D2, D3, D4, D5, D6,
E1, E2, E3, E4, E5, E6,
F1, F2, F3, F4, F5, F6)) :-

A1 #= 1,
B3 #= 1,
B6 #= 3,
C3 #= 2,
D6 #= 2,
E1 #= 3,
E2 #= 6,
F3 #= 4,
F5 #= 5,

% define the domain - ordered by rows
domain([A1, A2, A3, A4, A5, A6,
B1, B2, B3, B4, B5, B6,
C1, C2, C3, C4, C5, C6,
D1, D2, D3, D4, D5, D6,
E1, E2, E3, E4, E5, E6,
F1, F2, F3, F4, F5, F6], 1, 6),

% impose constraints on rows
all_different([A1, A2, A3, A4, A5, A6]),
all_different([B1, B2, B3, B4, B5, B6]),
all_different([C1, C2, C3, C4, C5, C6]),
all_different([D1, D2, D3, D4, D5, D6]),
all_different([E1, E2, E3, E4, E5, E6]),
all_different([F1, F2, F3, F4, F5, F6]),

% impose constraints on columns
all_different([A1, B1, C1, D1, E1, F1]),
all_different([A2, B2, C2, D2, E2, F2]),
all_different([A3, B3, C3, D3, E3, F3]),
all_different([A4, B4, C4, D4, E4, F4]),
all_different([A5, B5, C5, D5, E5, F5]),
all_different([A6, B6, C6, D6, E6, F6]),

% impose constraints on groups
% groups could be constrained as with rows and columns,
% but this is an alternative (longer) way of imposing constraints
A1 #\= A2, A1 #\= A3, A1 #\= A4, A1 #\= B2, A1 #\= C2,
A2 #\= A3, A2 #\= A4, A2 #\= B2, A2 #\= C2,
A3 #\= A4, A3 #\= B2, A3 #\= C2,
A4 #\= B2, A4 #\= C2,
B2 #\= C2,

A5 #\= A6, A5 #\= B3, A5 #\= B4, A5 #\= B5, A5 #\= C3,
A6 #\= B3, A6 #\= B4, A6 #\= B5, A6 #\= C3,
B3 #\= B4, B3 #\= B5, B3 #\= C3,
B4 #\= B5, B4 #\= C3,
B5 #\= C3,

B1 #\= C1, B1 #\= D1, B1 #\= D2, B1 #\= D3, B1 #\= E2,
C1 #\= D1, C1 #\= D2, C1 #\= D3, C1 #\= E2,
D1 #\= D2, D1 #\= D3, D1 #\= E2,
D2 #\= D3, D2 #\= E2,
D3 #\= E2,

B6 #\= C4, B6 #\= C5, B6 #\= C6, B6 #\= D6, B6 #\= E6,
C4 #\= C5, C4 #\= C6, C4 #\= D6, C4 #\= E6,
C5 #\= C6, C5 #\= D6, C5 #\= E6,
C6 #\= D6, C6 #\= E6,
D6 #\= E6,

D4 #\= D5, D4 #\= E5, D4 #\= F4, D4 #\= F5, D4 #\= F6,
D5 #\= E5, D5 #\= F4, D5 #\= F5, D5 #\= F6,
E5 #\= F4, E5 #\= F5, E5 #\= F6,
F4 #\= F5, F4 #\= F6,
F5 #\= F6,

E1 #\= E3, E1 #\= E4, E1 #\= F1, E1 #\= F2, E1 #\= F3,
E3 #\= E4, E3 #\= F1, E3 #\= F2, E3 #\= F3,
E4 #\= F1, E4 #\= F2, E4 #\= F3,
F1 #\= F2, F1 #\= F3,
F2 #\= F3,

% generate the solution by labelling
labeling([], [A1, A2, A3, A4, A5, A6]),
labeling([], [B1, B2, B3, B4, B5, B6]),
labeling([], [C1, C2, C3, C4, C5, C6]),
labeling([], [D1, D2, D3, D4, D5, D6]),
labeling([], [E1, E2, E3, E4, E5, E6]),
labeling([], [F1, F2, F3, F4, F5, F6]).


/* ************************************************ */
/* */
/* solve/0 */
/* Summary: Constrains and generates solutions to */
/* the puzzle, outputing successful */
/* solutions. */
/* Author: P J Hancox */
/* Date: 27 November 2004 */
/* */
/* ************************************************ */

solve :-
board(Square),
display_board(Square).


/* ************************************************ */
/* */
/* display_board/1 */
/* Arg 1: board as a structured object */
/* Summary: Displays the board. */
/* Author: P J Hancox */
/* Date: 27 November 2004 */
/* */
/* ************************************************ */

display_board(Board) :-
display_board(0, Board).


/* ************************************************ */
/* */
/* display_board/1 */
/* Arg 1: counter */
/* Arg 2: board as a structured object */
/* Summary: Displays the board. */
/* Author: P J Hancox */
/* Date: 27 November 2004 */
/* */
/* ************************************************ */

% 1 - terminating
display_board(36, _Board) :-
nl, nl.
% 2 - recursive
display_board(Index, Board) :-
Index < 36,
Index1 is Index + 1,
arg(Index1, Board, Cell),
display_square(Index1, Cell),
display_board(Index1, Board).


/* ************************************************ */
/* */
/* display_square/1 */
/* Arg 1: counter */
/* Arg 2: individual square of the board */
/* Summary: Displays an individual square and, if */
/* it is the 6th square of a row, moves */
/* to a new line. */
/* Author: P J Hancox */
/* Date: 27 November 2004 */
/* */
/* ************************************************ */

display_square(Index, Square) :-
( nonvar(Square) ->
write(' '), write(Square), write(' ')
;
write(' ')
),
( (Index) // 6 =:= (Index)/6 ->
nl
;
true
).


/* ************************************************ */
/* */
/* End of program */
/* */
/* ************************************************ */