New in v17.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Monadic function `∪`\n",
    "*Unique* works on major cells:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<span style=\"white-space:pre; font-family: monospace\">2 7\n",
       "1 8\n",
       "2 8\n",
       "1 8\n",
       "2 8\n",
       "4 5\n",
       "</span>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix←6 2⍴2 7 1 8 2 8 1 8 2 8 4 5\n",
    "matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<span style=\"white-space:pre; font-family: monospace\">2 7\n",
       "1 8\n",
       "2 8\n",
       "4 5\n",
       "</span>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "∪matrix"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Dyadic function `⍸` and monadic functions `⍋` and `⍒`\n",
    "*Interval index*, *Grade up*, and *Grade down* use [Total Array Ordering](https://www.youtube.com/watch?v=8cbPLRAcC7M&t=6m47s) to work on the major cells:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<span style=\"white-space:pre; font-family: monospace\">0 2 2\n",
       "3 3 3\n",
       "</span>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "'Adam' 'Jay' 'Roger'⍸2 3⍴'APLXYZ'  ⍝ scalars of a vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<span style=\"white-space:pre; font-family: monospace\">2 1\n",
       "</span>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(3 5⍴'Adam Jay  Roger')⍸2 5⍴'KarenGitte'  ⍝ vectors of a matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<span style=\"white-space:pre; font-family: monospace\">3 6 1 2 5 4\n",
       "</span>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vector←0 0J2 ¯1 'A' 1 0J¯2\n",
    "⍋vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<span style=\"white-space:pre; font-family: monospace\">¯1 0J¯2 0 0J2 1 A\n",
       "</span>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "{(⊂⍋⍵)⌷⍵}vector  ⍝ new special-cased idiom"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<span style=\"white-space:pre; font-family: monospace\">A 1 0J2 0 0J¯2 ¯1\n",
       "</span>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "{(⊂⍒⍵)⌷⍵}vector  ⍝ new special-cased idiom"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Dyalog APL",
   "language": "apl",
   "name": "dyalog-kernel"
  },
  "language_info": {
   "file_extension": ".apl",
   "mimetype": "text/apl",
   "name": "APL"
  },
  "tryapl": {
   "category": "Highlights of Recent Releases",
   "description": "Language extensions in Dyalog APL version 17.0",
   "name": "New in version 17.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}