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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,922

To start a little Lisp discussion, here are two functions I wrote:

```
(defun fibonacci (n)
(labels ((fib (n f)
(if (or (zerop n) (eq n -1))
(car f)
(fib (- n 1) (cons (+ (first f) (second f)) f ))
)))
(fib (- n 2) (1 1)))
)
(defun ints (n)
(labels ((f (n acc)
(if (zerop n)
acc
(f (- n 1) (cons n acc))
)))
(f n nil))
)
```

The first one is for calculating the nth Fibonacci number, and the second for generating a list of the first n positive integers.

You can test them by entering something like:

`(mapcar #'fibonacci (ints 20))`

*Last edited by anonimnystefy (2012-12-19 08:40:07)*

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,922

Anyone have an idea on what I could do next?

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,020

Can you do graphics with it?

If so, it is the ideal language for fractals.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,922

Not yet. I could learn that, though...

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,020

It should do the recursion really well and to quite a depth.

If it works, post up the pictures.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,922

How do I even start any work on graphics with Lisp?

Yes, it quite a capability for recursion.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,020

Our friend Mr Google will give you plenty of hits. Lisp programmers seem to be pretty generous with their code/ideas.

But you'll need to add what implementation you are using.

Bob

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,922

I tried Googling, but none of the things I tried worked...

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,020

What version of lisp? What did you try? (Just one at this stage)

Bob

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,922

I use SBCL for CLisp.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,922

Hi Bob

I have a package called "vecto". I am searching for instructions on using it...

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,020

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,922

Hi Bob

That is the page I found! I will try what I can today...

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,922

Hi Bob

I have wrotten this code: http://pastebin.com/Je8PQMfX which should produce some kind of grayyscale Mandelbrot set, but it doesn't...

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,020

So what does it produce?

Have you worked up to this with simple stuff like draw a line, plot a pixel, shade an area etc.

Bob

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,922

Hi Bob

I edited my code a little bit:

```
(defun mandelbrot (size filename)
(let ((img (make-8-bit-gray-image size size)))
(declare (type 8-bit-gray-image img))
(loop for i from 1 to (1- size) do
(loop for j from 1 to (1- size) do ;these two loops go through all pixels of the image
(labels ((mb-set (x y nit) ;nit is the number of the iteration
(if (or (> (+ (* x x) (* y y)) 2) (> nit 1000)) ;this bit of code checks if the modulo of z is >2
(setf (pixel img i j) (round(/ 255.0 (1+ nit)))) ;if it is, this bit sets the current pixel to the appropriate shade of grey
(mb-set (+ (- (* x x) (* y y)) (/ (- j (round (/ size 2.0))) 50.0)) (+ (* 2 x y) (/ (- j (round (/ size 2.0))) 50.0)) (1+ nit)) ;if not, this bit sends new information into the next iteration
)
))
(mb-set 0.0 0.0 0)
)
)
)
(write-jpeg-file filename img)
)
)
```

but it produces the picture below...

*Last edited by anonimnystefy (2012-12-22 02:09:52)*

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,020

Ok. A common mistake which you can easily fix:

There are no comments / remarks / annotation to go with this code.

Bob

LATER EDIT

When you recompute x and y you need to store the new x temporarily whilst computing the new y, else you use the wrong x.

Recommend you don't call mb-set again until you have reset values in some extra lines of code, rather than packing all into a single line.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,922

Hi Bob

The variable x is never reassigned once in the function...

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,020

Sorry. Was just about to re-edit that load of rubbish.

how about

(mb-set (+ (- (* x x) (* y y)) (/ (- j (round (/ size 2.0))) 50.0)) (+ (* 2 x y) (/ (- j (round (/ size 2.0))) 50.0)) (1+ nit))

)))

I see no i in that line.

Bob

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,922

Bob, you are brilliant!

The picture is given below.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,020

That's a great fractal. Well done!

So you could (i) improve the resolution or (ii) add colour or (iii) do a new fractal.

Bob

btw Is now a good moment to admit I cannot program in Lisp ? I was bluffing!

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,922

I am going with (i) first.

The other two will have to wait a bit...

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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Would you give a link to download your compiler?

*Last edited by Agnishom (2013-05-17 16:27:05)*

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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Hi stefy;

What is a good way to learn Lisp?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,922

Well, I never learned it much, so I cannot say for sure, but what I used for learning was the book On Lisp which covers the basics. Just Google "onlisp.pdf".

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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