v1.5 new command examples

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v1.5 new command examples

Postby oliver » Sat Oct 26, 2013 12:44 pm

Here're examples for the commands added in v1.5.

As always, commands work when directly entered, in RPL+ and in JavaScript. In JavaScript you need to know which function collection commands are in. The examples are given mainly as simple sequences in RPL+, which are exactly equivalent to directly entering the arguments and commands one by one.

match
(Provides very versatile regular expression matching on strings and arrays. For the exact syntax of the regular expressions, see JavaScript RegExp documentation. For example, see http://www.visibone.com/regular-expressions/)
Code: Select all
≪ "Hallo" ".al" match ≫ => "Hal"
≪ "Hallo" ".a(.+)" match ≫ => ["Hallo", "llo"]
≪ "Hallo" "^a." match hasResult ≫ => false
JavaScript: ME.string.match('"Hallo"', '"^a."'); vars.hasResult /* false */

≪ 1..40 ".3" match ≫ => [13 23 33]
≪ 1..40 "(.)3" match ≫ => [[13 1] [23 2] [33 3]]
≪ 1..40 [@toString] map ".3" match ≫ => ["13" "23" "33"]
≪ 1..40 [@toString] map "(.)3" match ≫ [["13" "1"]["23" "2"]["33" "3"]]
≪ 1e6 primes [real 1e5 >] filter ".2.2.3" match ≫ [120223 120233 ...]


right
Code: Select all
≪ 'y+5=1+x^2' right ≫ => '1+x^2'
≪ [ 'x=0' 'y=1+x^2' ] right ≫ => [ '0' '1+x^2' ]
≪ [[ 'x=0' 'y=1+x^2' ][ 'x=4/5' 'y=-3/5' ]] right ≫ => [[ '0' '1+x^2' ][ '4/5' '3/5' ]]


toName
Code: Select all
≪ "myvar" toName ≫ => 'myvar'


subst
Code: Select all
≪ 'tan(x)+x' 'x=1' ≫ => 'tan(1)+1'
JavaScript: ME.expr["subst"]("'tan(x)+x'", "'x=1'") => "'tan(1)+1'"


zip, unzip
Code: Select all
≪ [1 2 3] [4 5 6] zip ≫ => [ 1 4 2 5 3 6 ]
≪ [ 1 4 2 5 3 6 ] unzip ≫ => [1 2 3] [4 5 6]


augment & co.
Code: Select all
≪ [1 2 3] [4 5 6] append ≫ => [ 1 2 3 [ 4 5 6 ] ]
≪ [1 2 3] [4 5 6] concat ≫ => [ 1 2 3 4 5 6 ]
≪ [1 2 3] [4 5 6] add ≫ => [ 5 7 9 ]
≪ [1 2 3] [4 5 6] + ≫ => [ 5 7 9 ]
≪ [1 2 3] [4 5 6] augment ≫ => [[ 1 2 3 ] [ 4 5 6 ]]
≪ [1 2] 3 augment ≫ => [ 1 2 3 ]


convergent
Code: Select all
≪ showImproper 2 toSqrtCF 25 convergent ≫ => 4478554083/3166815962
≪ showImproper π toCF 3 convergent ≫ => 355/113


convergents
Code: Select all
≪ showImproper 2 toSqrtCF 5 convergents ≫ => [ 3/2 7/5 17/12 41/29 99/70 ]
≪ showImproper π toCF 3 convergents ≫ => [ 3/1, 22/7, 355/113 ]


squareFree, squareFreePart, isSquareFree
Code: Select all
≪ 1..20 squareFree ≫ => [ 1 2 3 5 6 7 10 11 13 14 15 17 19 ]
≪ 1..20 squareFreePart ≫ => [ 1 2 3 1 5 6 7 2 1 10 11 3 13 14 15 1 17 2 19 5 ]
≪ 17..20 isSquareFree ≫ => [ true false true false ]


moebius
Code: Select all
≪ 1..25 moebius ≫ => [ 1 -1 -1 0 -1 1 -1 0 0 1 -1 0 -1 1 1 0 -1 0 -1 0 1 1 -1 0 0 ]
oliver
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