#!/usr/bin/env raku
# -*- encoding: utf-8; indent-tabs-mode: nil -*-
#
# Computing the golden ratio φ with some radix
#
# Copyright 2024 Jean Forget
#
# This programme is free software; you can redistribute it and modify it under the Artistic License 2.0.
#

use lib '../lib';
use Arithmetic::PaperAndPencil;

sub phi(Int $radix, Int $scale) {
  my $zero = '0' x $scale;

  my @five = <101 12 11 10>;
  my Str $x5 = '5';
  if $radix < 6 {
    $x5 = @five[$radix - 2];
  }

  my Str $x2 = '2';
  if $radix == 2 {
    $x2 = '10';
  }

  my Arithmetic::PaperAndPencil $op .= new;
  my Arithmetic::PaperAndPencil::Number $five .= new(:radix($radix), :value($x5 ~ $zero ~ $zero));
  my Arithmetic::PaperAndPencil::Number $one  .= new(:radix($radix), :value('1' ~ $zero));
  my Arithmetic::PaperAndPencil::Number $two  .= new(:radix($radix), :value($x2));
  my Arithmetic::PaperAndPencil::Number $x = $op.square-root($five);
  $x = $op.addition($one, $x);
  $x = $op.division(dividend => $x, divisor => $two);
  return $x.value;
}

sub MAIN(
         Int :$radix where 2 ≤ * ≤ 36  #= The radix, between 2 and 36
       , Int :$scale = 10              #= scale: the number of digits after the (not displayed) decimal point
       ) {
  say phi($radix, $scale);
}



head

phi.raku --computing the golden ratio φ with some radix


This programme displays the value of φ in any radix (2 to 36).


The radix. This parameter is mandatory. Allowed values are 2 to 36.


The  number of  digits to  display.  This parameter  is optional.  Its
default value is 10.


This programme  is published  under the same  conditions as  Raku: the
Artistic License version 2.0.


The text  of the license  is available in  the F<LICENSE-ARTISTIC-2.0>
file in this repository, or you can read them at:


L<https://raw.githubusercontent.com/Raku/doc/master/LICENSE>


root

README

conv-pi

React

=begin React :component<HeaderCol> :id<menu> 
=para L<Documentation|/doc/introduction>
=para L<Modules| /mods>
=para L<Examples| file:../examples/index.podlite>
=para L<Download |file:../download/index.podlite>
=para L<About|file:../about/index.podlite>
=para 🔍 K<⌘K>/K<ctrl-K>
=end React


=begin React :component<HeaderCol> :id<footer>  
=begin nested :!nested
=item1 B<Language>
    =item2 L<Get started|file:../getting-started/getting-started.podlite>
    =item2 L<Why Raku?|/doc/language/faq#Why-should-I-learn-Raku-What's-so-great-about-it>
    =item2 L<Try Raku|https://glot.io/new/raku>
    =item2 L<Raku cheat sheet|https://github.com/Raku/mu/blob/master/docs/Perl6/Cheatsheet/cheatsheet.txt>
    =item2 L<empty|#>
    =item2 L<empty|#>
    =item2 L<empty|#>
    =item2 L<Raku on Exercism|https://exercism.org/tracks/raku>
    =item2 L<Wikipedia|https://en.wikipedia.org/wiki/Raku_(programming_language)>
    =item2 L<empty|#>
    =item2 L<empty|#>
    =item2 L<empty|#>

=end nested
=begin nested :!nested

=item1 B<L<Documentation|/doc>>
    =item2 L<Getting started, Migration guides from other languages, & Tutorials | file:../doc/introduction.podlite>
    =item2 L<Language References|file:../doc/reference.podlite>
    =item2 L<Type Reference| file:../doc/types.podlite>
    =item2 L<Miscellaneous| file:../doc/miscellaneous.podlite>
    =item2 L<FAQs (Frequently Asked Questions)|/doc/language/faq>
    =item2 L<Community|/doc/language/community>
    =item2 L<The list of all documents|file:../doc/index.podlite>

=item1 B<Resources>
    =item2 L<The Raku Guide|https://raku.guide/>
    =item2 L<Books |https://perl6book.com/>
    =item2 L<Rosetta Code | https://www.raku.org/community/rosettacode>

=end nested
=begin nested :!nested

=item1 B<Resoures>
    =item2 L<Download | file:../download/index.podlite>
    =item2 L<empty|#>
    =item2 L<empty|#>
    =item2 L<empty|#>
    =item2 L<empty|#>
    =item2 L<empty|#>
    =item2 L<empty|#>
    =item2 L<empty|#>

=item1 B<Learning>
    =item2 L<The Raku Guide|https://raku.guide/>
    =item2 L<Wikibook |https://en.wikibooks.org/wiki/Raku_Programming>
    =item2 L<Books |https://perl6book.com/>
    =item2 L<Rosetta Code | https://www.raku.org/community/rosettacode>
    =item2 L<Learn Raku in Y minutes|https://learnxinyminutes.com/docs/raku/>
    =item2 L<Golfing |https://github.com/AlexDaniel/raku-golf-cheatsheet>
=end nested
=begin nested :!nested

=item1 B<Explore>
    =item2 L<Raku Blog Aggregator|https://planet.raku.org/>
    =item2 L<Rakudo Weekly|https://rakudoweekly.blog/>
    =item2 L<The Weekly Challenge |https://perlweeklychallenge.org/>
    =item2 L<Raku Advent Calendar|https://raku-advent.blog/>
    =item2 L<empty|#>
    =item2 L<empty|#>
    =item2 L<empty|#>
    =item2 L<empty|#>
    =item2 L<empty|#>

=end nested
=end React


=begin React :component<CookieConsent> :id<CookieConsent> :buttonCaption("Got it!")
=para
This website uses cookies for analytics.
=end React


phi

POD

NAME

DESCRIPTION

USAGE

Parameters

radix

scale

COPYRIGHT and LICENCE

Arithmetic::PaperAndPencil v0.0.1

Authors

License

Dependencies

Test Dependencies

Provides

Documentation