Yorick (programming language)

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Yorick

Yorick is an interpreted programming language designed for numerics, graph plotting and steering large scientific simulation codes. It is quite fast due to array syntax, and extensible via C or Fortran routines. It was created in 1996 by David H. Munro of Lawrence Livermore National Laboratory.

Features

  • Indexing

Yorick is good at manipulating elements in N-dimensional arrays conveniently with its powerful syntax.

Range of indices

Several elements can be accessed all at once:

<source lang="python"> > x=[1,2,3,4,5,6]; > x [1,2,3,4,5,6] > x(3:6) [3,4,5,6] > x(3:6:2) [3,5] > x(6:3:-2) [6,4] </source>

Arbitrary elements

<source lang="python"> > x=[[1,2,3],[4,5,6]] > x [[1,2,3],[4,5,6]] > x([2,1],[1,2]) [[2,1],[5,4]] > list=where(1<x) > list [2,3,4,5,6] > y=x(list) > y [2,3,4,5,6] </source>

Pseudo-index

Like "theading" in PDL(Perl Data Language) and "broadcasting" in Numpy ( Numeric extension for Python), Yorick has a mechanism to do this:

<source lang="python"> > x=[1,2,3] > x [1,2,3] > y=[[1,2,3],[4,5,6]] > y [[1,2,3],[4,5,6]] > y(-,) [[[1],[2],[3]],[[4],[5],[6]]] > x(-,) [[1],[2],[3]] > x(,-) 1,2,3 > x(,-)/y [[1,1,1],[0,0,0]] > y=[[1.,2,3],[4,5,6]] > x(,-)/y [[1,1,1],[0.25,0.4,0.5]] </source>

Rubber index

".." is a rubber-index to represent zero or more dimensions of the array.

<source lang="python"> > x=[[1,2,3],[4,5,6]] > x [[1,2,3],[4,5,6]] > x(..,1) [1,2,3] > x(1,..) [1,4] > x(2,..,2) 5 </source>

"*" is a kind of rubber-index to reshape a slice(sub-array) of array to a vector.

<source lang="python"> > x(*) [1,2,3,4,5,6] </source>

Tensor multiplication

Tensor multiplication is done as follows in Yorick:

P(,+,,)*Q(,,+)

means <math>\sum_{j=1}^{j=N}{P_{ijkl}Q_{mnj}}</math>

<source lang="python"> > x=[[1,2,3],[4,5,6]] > x [[1,2,3],[4,5,6]] > y=[[7,8],[9,10],[11,12]] > x(,+)*y(+,) [[39,54,69],[49,68,87],[59,82,105]] > x(+,)*y(,+) [[58,139],[64,154]] </source>

External links


fr:Yorick ms:Bahasa pengaturcaraan Yorick pt:Yorick

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