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http://rosettacode.org/wiki/Tokenize_a_string
Tokenize a string
Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word. Display the words to the 'user', in the simplest manner possible, separated by a period. To simplify, you may display a trailing period. Other tasks related to string operations: Me...
#360_Assembly
360 Assembly
* Tokenize a string - 08/06/2018 TOKSTR CSECT USING TOKSTR,R13 base register B 72(R15) skip savearea DC 17F'0' savearea SAVE (14,12) save previous context ST R13,4(R15) link backward ST...
http://rosettacode.org/wiki/Tokenize_a_string
Tokenize a string
Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word. Display the words to the 'user', in the simplest manner possible, separated by a period. To simplify, you may display a trailing period. Other tasks related to string operations: Me...
#8080_Assembly
8080 Assembly
puts: equ 9 org 100h jmp demo ;;; Split the string at DE by the character in C. ;;; Store pointers to the beginning of the elements starting at HL ;;; The amount of elements is returned in B. split: mvi b,0 ; Amount of elements sloop: mov m,e ; Store pointer at [HL] inx h mov m,d inx h inr b ; Increment cou...
http://rosettacode.org/wiki/Top_rank_per_group
Top rank per group
Task Find the top   N   salaries in each department,   where   N   is provided as a parameter. Use this data as a formatted internal data structure (adapt it to your language-native idioms, rather than parse at runtime), or identify your external data source: Employee Name,Employee ID,Salary,Department Tyler Bennett...
#Aime
Aime
Add_Employee(record employees, text name, id, integer salary, text department) { employees[name] = list(name, id, salary, department); }   collect(record top, employees) { for (, list l in employees) { top.v_index(l[3]).v_list(l[2]).link(-1, l); } for (text department, index x in top) { ...
http://rosettacode.org/wiki/Towers_of_Hanoi
Towers of Hanoi
Task Solve the   Towers of Hanoi   problem with recursion.
#ALGOL-M
ALGOL-M
begin procedure move(n, src, via, dest); integer n; string(1) src, via, dest; begin if n > 0 then begin move(n-1, src, dest, via); write("Move disk from pole "); writeon(src); writeon(" to pole "); writeon(dest); move(n-1, via, src, dest); end; end;   move(4, ...
http://rosettacode.org/wiki/Thue-Morse
Thue-Morse
Task Create a Thue-Morse sequence. See also   YouTube entry: The Fairest Sharing Sequence Ever   YouTube entry: Math and OCD - My story with the Thue-Morse sequence   Task: Fairshare between two and more
#Arturo
Arturo
thueMorse: function [maxSteps][ result: new [] val: [0] count: new 0 while [true][ 'result ++ join to [:string] val inc 'count if count = maxSteps -> return result val: val ++ map val 'v -> 1 - v ] return result ] loop thueMorse 6 'bits -> print bits
http://rosettacode.org/wiki/Thue-Morse
Thue-Morse
Task Create a Thue-Morse sequence. See also   YouTube entry: The Fairest Sharing Sequence Ever   YouTube entry: Math and OCD - My story with the Thue-Morse sequence   Task: Fairshare between two and more
#AutoHotkey
AutoHotkey
ThueMorse(num, iter){ if !iter return num for i, n in StrSplit(num) opp .= !n res := ThueMorse(num . opp, --iter) return res }
http://rosettacode.org/wiki/Tonelli-Shanks_algorithm
Tonelli-Shanks algorithm
This page uses content from Wikipedia. The original article was at Tonelli-Shanks algorithm. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance) In computational number theory, the Tonelli–Shanks algor...
#D
D
import std.bigint; import std.stdio; import std.typecons;   alias Pair = Tuple!(long, "n", long, "p");   enum BIGZERO = BigInt("0"); enum BIGONE = BigInt("1"); enum BIGTWO = BigInt("2"); enum BIGTEN = BigInt("10");   struct Solution { BigInt root1, root2; bool exists; }   /// https://en.wikipedia.org/wiki/Modul...
http://rosettacode.org/wiki/Tokenize_a_string_with_escaping
Tokenize a string with escaping
Task[edit] Write a function or program that can split a string at each non-escaped occurrence of a separator character. It should accept three input parameters:   The string   The separator character   The escape character It should output a list of strings. Details Rules for splitting: The fields that were s...
#BQN
BQN
str ← "one^|uno||three^^^^|four^^^|^cuatro|" Split ← ((⊢-˜+`׬)∘=⊔⊢) SplitE ← { esc ← <`'^'=𝕩 rem ← »esc spl ← (¬rem)∧'|'=𝕩 𝕩⊔˜(⊢-(esc∨spl)×1⊸+)+`spl }   •Show SplitE str
http://rosettacode.org/wiki/Tokenize_a_string_with_escaping
Tokenize a string with escaping
Task[edit] Write a function or program that can split a string at each non-escaped occurrence of a separator character. It should accept three input parameters:   The string   The separator character   The escape character It should output a list of strings. Details Rules for splitting: The fields that were s...
#C
C
#include <stdlib.h> #include <stdio.h>   #define STR_DEMO "one^|uno||three^^^^|four^^^|^cuatro|" #define SEP '|' #define ESC '^'   typedef char* Str; /* just for an easier reading */   /* ===> FUNCTION PROTOTYPES <================================================ */ unsigned int ElQ( const char *s, char sep, char esc );...
http://rosettacode.org/wiki/Total_circles_area
Total circles area
Total circles area You are encouraged to solve this task according to the task description, using any language you may know. Example circles Example circles filtered Given some partially overlapping circles on the plane, compute and show the total area covered by them, with four or six (or a little more) decimal dig...
#Julia
Julia
using Printf   # Total circles area: https://rosettacode.org/wiki/Total_circles_area   xc = [1.6417233788, -1.4944608174, 0.6110294452, 0.3844862411, -0.2495892950, 1.7813504266, -0.1985249206, -1.7011985145, -0.4319462812, 0.2178372997, -0.6294854565, 1.7952608455, 1.4168575317, 1.4637371396, -0.5263668798,...
http://rosettacode.org/wiki/Topological_sort
Topological sort
Sorting Algorithm This is a sorting algorithm.   It may be applied to a set of data in order to sort it.     For comparing various sorts, see compare sorts.   For other sorting algorithms,   see sorting algorithms,   or: O(n logn) sorts Heap sort | Merge sort | Patience sort | Quick sort O(n log2n) sorts Shell Sort ...
#Clojure
Clojure
(use 'clojure.set) (use 'clojure.contrib.seq-utils)   (defn dep "Constructs a single-key dependence, represented as a map from item to a set of items, ensuring that item is not in the set." [item items] {item (difference (set items) (list item))})   (defn empty-dep "Constructs a single-key dependence from it...
http://rosettacode.org/wiki/Universal_Turing_machine
Universal Turing machine
One of the foundational mathematical constructs behind computer science is the universal Turing Machine. (Alan Turing introduced the idea of such a machine in 1936–1937.) Indeed one way to definitively prove that a language is turing-complete is to implement a universal Turing machine in it. Task Simulate such ...
#Go
Go
package turing   type Symbol byte   type Motion byte   const ( Left Motion = 'L' Right Motion = 'R' Stay Motion = 'N' )   type Tape struct { data []Symbol pos, left int blank Symbol }   // NewTape returns a new tape filled with 'data' and position set to 'start...
http://rosettacode.org/wiki/Totient_function
Totient function
The   totient   function is also known as:   Euler's totient function   Euler's phi totient function   phi totient function   Φ   function   (uppercase Greek phi)   φ    function   (lowercase Greek phi) Definitions   (as per number theory) The totient function:   counts the integers up to a given positiv...
#Factor
Factor
USING: combinators formatting io kernel math math.primes.factors math.ranges sequences ; IN: rosetta-code.totient-function   : Φ ( n -- m ) { { [ dup 1 < ] [ drop 0 ] } { [ dup 1 = ] [ drop 1 ] } [ dup unique-factors [ 1 [ 1 - * ] reduce ] [ product ] bi / * ]...
http://rosettacode.org/wiki/Topswops
Topswops
Topswops is a card game created by John Conway in the 1970's. Assume you have a particular permutation of a set of   n   cards numbered   1..n   on both of their faces, for example the arrangement of four cards given by   [2, 4, 1, 3]   where the leftmost card is on top. A round is composed of reversing the first  ...
#Lua
Lua
-- Return an iterator to produce every permutation of list function permute (list) local function perm (list, n) if n == 0 then coroutine.yield(list) end for i = 1, n do list[i], list[n] = list[n], list[i] perm(list, n - 1) list[i], list[n] = list[n], list[i] ...
http://rosettacode.org/wiki/Trigonometric_functions
Trigonometric functions
Task If your language has a library or built-in functions for trigonometry, show examples of:   sine   cosine   tangent   inverses   (of the above) using the same angle in radians and degrees. For the non-inverse functions,   each radian/degree pair should use arguments that evaluate to the same angle   (that i...
#Clojure
Clojure
(ns user (:require [clojure.contrib.generic.math-functions :as generic]))   ;(def pi Math/PI) (def pi (* 4 (atan 1))) (def dtor (/ pi 180)) (def rtod (/ 180 pi)) (def radians (/ pi 4)) (def degrees 45)   (println (str (sin radians) " " (sin (* degrees dtor)))) (println (str (cos radians) " " (cos (* degrees dtor)))) ...
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm
Trabb Pardo–Knuth algorithm
The TPK algorithm is an early example of a programming chrestomathy. It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages. The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of...
#Haskell
Haskell
import Control.Monad (replicateM, mapM_)   f :: Floating a => a -> a f x = sqrt (abs x) + 5 * x ** 3   main :: IO () main = do putStrLn "Enter 11 numbers for evaluation" x <- replicateM 11 readLn mapM_ ((\x -> if x > 400 then putStrLn "OVERFLOW" else print x) . f) $ rev...
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm
Trabb Pardo–Knuth algorithm
The TPK algorithm is an early example of a programming chrestomathy. It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages. The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of...
#Icon_and_Unicon
Icon and Unicon
procedure main() S := [] writes("Enter 11 numbers: ") read() ? every !11 do (tab(many(' \t'))|0,put(S, tab(upto(' \t')|0))) every item := !reverse(S) do write(item, " -> ", (400 >= f(item)) | "overflows") end   procedure f(x) return abs(x)^0.5 + 5*x^3 end
http://rosettacode.org/wiki/Twelve_statements
Twelve statements
This puzzle is borrowed from   math-frolic.blogspot. Given the following twelve statements, which of them are true? 1. This is a numbered list of twelve statements. 2. Exactly 3 of the last 6 statements are true. 3. Exactly 2 of the even-numbered statements are true. 4. If statement 5 is true, then statemen...
#Swift_Playground
Swift Playground
import UIKit import Foundation internal enum PaddingOption { case Left case Right } extension Array { func pad(element: Element, times: Int, toThe: PaddingOption) -> Array<Element> { let padded = [Element](repeating: element, count: times) switch(toThe) { case .Left: ...
http://rosettacode.org/wiki/Twelve_statements
Twelve statements
This puzzle is borrowed from   math-frolic.blogspot. Given the following twelve statements, which of them are true? 1. This is a numbered list of twelve statements. 2. Exactly 3 of the last 6 statements are true. 3. Exactly 2 of the even-numbered statements are true. 4. If statement 5 is true, then statemen...
#Tcl
Tcl
package require Tcl 8.6   # Function to evaluate the truth of a statement proc tcl::mathfunc::S {idx} { upvar 1 state s apply [lindex $s [expr {$idx - 1}]] $s } # Procedure to count the number of statements which are true proc S+ args { upvar 1 state state tcl::mathop::+ {*}[lmap i $args {expr {S($i)}}]...
http://rosettacode.org/wiki/Truth_table
Truth table
A truth table is a display of the inputs to, and the output of a Boolean function organized as a table where each row gives one combination of input values and the corresponding value of the function. Task Input a Boolean function from the user as a string then calculate and print a formatted truth table for the g...
#Python
Python
from itertools import product   while True: bexp = input('\nBoolean expression: ') bexp = bexp.strip() if not bexp: print("\nThank you") break code = compile(bexp, '<string>', 'eval') names = code.co_names print('\n' + ' '.join(names), ':', bexp) for values in product(range(2...
http://rosettacode.org/wiki/Ulam_spiral_(for_primes)
Ulam spiral (for primes)
An Ulam spiral (of primes) is a method of visualizing primes when expressed in a (normally counter-clockwise) outward spiral (usually starting at 1),   constructed on a square grid, starting at the "center". An Ulam spiral is also known as a   prime spiral. The first grid (green) is shown with sequential integers,   ...
#Racket
Racket
#lang racket (require (only-in math/number-theory prime?))   (define ((cell-fn n (start 1)) x y) (let* ((y (- y (quotient n 2))) (x (- x (quotient (sub1 n) 2))) (l (* 2 (if (> (abs x) (abs y)) (abs x) (abs y)))) (d (if (>= y x) (+ (* l 3) x y) (- l x y)))) (+ (sqr (- l 1)) d start -1)))...
http://rosettacode.org/wiki/Truncatable_primes
Truncatable primes
A truncatable prime is a prime number that when you successively remove digits from one end of the prime, you are left with a new prime number. Examples The number 997 is called a left-truncatable prime as the numbers 997, 97, and 7 are all prime. The number 7393 is a right-truncatable prime as the numbers 7393, 7...
#jq
jq
def is_left_truncatable_prime: def removeleft: recurse(if length <= 1 then empty else .[1:] end); tostring | index("0") == null and all(removeleft|tonumber; is_prime);   def is_right_truncatable_prime: def removeright: recurse(if length <= 1 then empty else .[:-1] end); tostring | index("0...
http://rosettacode.org/wiki/Tree_traversal
Tree traversal
Task Implement a binary tree where each node carries an integer,   and implement:   pre-order,   in-order,   post-order,     and   level-order   traversal. Use those traversals to output the following tree: 1 / \ / \ / \ 2 3 / \ / 4 5 6 / ...
#AWK
AWK
  function preorder(tree, node, res, child) { if (node == "") return res[res["count"]++] = node split(tree[node], child, ",") preorder(tree,child[1],res) preorder(tree,child[2],res) }   function inorder(tree, node, res, child) { if (node == "") return split(tree[nod...
http://rosettacode.org/wiki/Tokenize_a_string
Tokenize a string
Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word. Display the words to the 'user', in the simplest manner possible, separated by a period. To simplify, you may display a trailing period. Other tasks related to string operations: Me...
#8086_Assembly
8086 Assembly
cpu 8086 org 100h section .text jmp demo ;;; Split the string at DS:SI on the character in DL. ;;; Store pointers to strings starting at ES:DI. ;;; The amount of strings is returned in CX. split: xor cx,cx ; Zero out counter .loop: mov ax,si ; Store pointer to current location stosw inc cx ; Increment counte...
http://rosettacode.org/wiki/Top_rank_per_group
Top rank per group
Task Find the top   N   salaries in each department,   where   N   is provided as a parameter. Use this data as a formatted internal data structure (adapt it to your language-native idioms, rather than parse at runtime), or identify your external data source: Employee Name,Employee ID,Salary,Department Tyler Bennett...
#AppleScript
AppleScript
use AppleScript version "2.3.1" -- Mac OS X 10.9 (Mavericks) or later for these 'use' commands! use sorter : script "Custom Iterative Ternary Merge Sort" -- <https://macscripter.net/viewtopic.php?pid=194430#p194430>   on topNSalariesPerDepartment(employeeRecords, n) set output to {} set employeeCount to (count ...
http://rosettacode.org/wiki/Towers_of_Hanoi
Towers of Hanoi
Task Solve the   Towers of Hanoi   problem with recursion.
#ALGOL_W
ALGOL W
begin procedure move ( integer value n, from, to, via ) ; if n > 0 then begin move( n - 1, from, via, to ); write( i_w := 1, s_w := 0, "Move disk from peg: ", from, " to peg: ", to ); move( n - 1, via, to, from ) end move ;   move( 4, 1, 2, 3 ) end.
http://rosettacode.org/wiki/Thue-Morse
Thue-Morse
Task Create a Thue-Morse sequence. See also   YouTube entry: The Fairest Sharing Sequence Ever   YouTube entry: Math and OCD - My story with the Thue-Morse sequence   Task: Fairshare between two and more
#AWK
AWK
BEGIN{print x="0"} {gsub(/./," &",x);gsub(/ 0/,"01",x);gsub(/ 1/,"10",x);print x}
http://rosettacode.org/wiki/Thue-Morse
Thue-Morse
Task Create a Thue-Morse sequence. See also   YouTube entry: The Fairest Sharing Sequence Ever   YouTube entry: Math and OCD - My story with the Thue-Morse sequence   Task: Fairshare between two and more
#BASIC
BASIC
  tm = "0"   Function Thue_Morse(s) k = "" For i = 1 To Length(s) If Mid(s, i, 1) = "1" Then k += "0" Else k += "1" End If Next i Thue_Morse = s + k End Function   Print tm For j = 1 To 7 tm = Thue_Morse(tm) Print tm Next j End  
http://rosettacode.org/wiki/Tonelli-Shanks_algorithm
Tonelli-Shanks algorithm
This page uses content from Wikipedia. The original article was at Tonelli-Shanks algorithm. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance) In computational number theory, the Tonelli–Shanks algor...
#EchoLisp
EchoLisp
  (require 'bigint) ;; test equality mod p (define-syntax-rule (mod= a b p) (zero? (% (- a b) p))) ;; assign mod p (define-syntax-rule (mod:≡ s v p) (set! s (% v p)))   (define (Legendre a p) (powmod a (/ (1- p) 2) p))   (define (Tonelli n p) (unless (= 1 (Legendre n p)) (error "not a square (mod p)" (list...
http://rosettacode.org/wiki/Tokenize_a_string_with_escaping
Tokenize a string with escaping
Task[edit] Write a function or program that can split a string at each non-escaped occurrence of a separator character. It should accept three input parameters:   The string   The separator character   The escape character It should output a list of strings. Details Rules for splitting: The fields that were s...
#C.23
C#
using System; using System.Text; using System.Collections.Generic;   public class TokenizeAStringWithEscaping { public static void Main() { string testcase = "one^|uno||three^^^^|four^^^|^cuatro|"; foreach (var token in testcase.Tokenize(separator: '|', escape: '^')) { Console.WriteLine(...
http://rosettacode.org/wiki/Total_circles_area
Total circles area
Total circles area You are encouraged to solve this task according to the task description, using any language you may know. Example circles Example circles filtered Given some partially overlapping circles on the plane, compute and show the total area covered by them, with four or six (or a little more) decimal dig...
#Kotlin
Kotlin
// version 1.1.2   class Circle(val x: Double, val y: Double, val r: Double)   val circles = arrayOf( Circle( 1.6417233788, 1.6121789534, 0.0848270516), Circle(-1.4944608174, 1.2077959613, 1.1039549836), Circle( 0.6110294452, -0.6907087527, 0.9089162485), Circle( 0.3844862411, 0.2923344616, 0.2375743...
http://rosettacode.org/wiki/Topological_sort
Topological sort
Sorting Algorithm This is a sorting algorithm.   It may be applied to a set of data in order to sort it.     For comparing various sorts, see compare sorts.   For other sorting algorithms,   see sorting algorithms,   or: O(n logn) sorts Heap sort | Merge sort | Patience sort | Quick sort O(n log2n) sorts Shell Sort ...
#CoffeeScript
CoffeeScript
  toposort = (targets) -> # targets is hash of sets, where keys are parent nodes and # where values are sets that contain nodes that must precede the parent   # Start by identifying obviously independent nodes independents = [] do -> for k of targets if targets[k].cnt == 0 delete targets[k] ...
http://rosettacode.org/wiki/Universal_Turing_machine
Universal Turing machine
One of the foundational mathematical constructs behind computer science is the universal Turing Machine. (Alan Turing introduced the idea of such a machine in 1936–1937.) Indeed one way to definitively prove that a language is turing-complete is to implement a universal Turing machine in it. Task Simulate such ...
#Haskell
Haskell
-- Some elementary types for Turing Machine data Move = MLeft | MRight | Stay deriving (Show, Eq) data Tape a = Tape a [a] [a] data Action state val = Action val Move state deriving (Show)   instance (Show a) => Show (Tape a) where show (Tape x lts rts) = concat $ left ++ [hd] ++ right where...
http://rosettacode.org/wiki/Totient_function
Totient function
The   totient   function is also known as:   Euler's totient function   Euler's phi totient function   phi totient function   Φ   function   (uppercase Greek phi)   φ    function   (lowercase Greek phi) Definitions   (as per number theory) The totient function:   counts the integers up to a given positiv...
#FreeBASIC
FreeBASIC
  #define esPar(n) (((n) And 1) = 0) #define esImpar(n) (esPar(n) = 0)   Function Totient(n As Integer) As Integer 'delta son números no divisibles por 2,3,5 Dim delta(7) As Integer = {6,4,2,4,2,4,6,2} Dim As Integer i, quot, idx, result ' div mod por constante es rápido. 'i = 2 result = n ...
http://rosettacode.org/wiki/Topswops
Topswops
Topswops is a card game created by John Conway in the 1970's. Assume you have a particular permutation of a set of   n   cards numbered   1..n   on both of their faces, for example the arrangement of four cards given by   [2, 4, 1, 3]   where the leftmost card is on top. A round is composed of reversing the first  ...
#Mathematica.2FWolfram_Language
Mathematica/Wolfram Language
flip[a_] := Block[{a1 = First@a}, If[a1 == Length@a, Reverse[a], Join[Reverse[a[[;; a1]]], a[[a1 + 1 ;;]]]]] swaps[a_] := Length@FixedPointList[flip, a] - 2 Print[#, ": ", Max[swaps /@ Permutations[Range@#]]] & /@ Range[10];
http://rosettacode.org/wiki/Trigonometric_functions
Trigonometric functions
Task If your language has a library or built-in functions for trigonometry, show examples of:   sine   cosine   tangent   inverses   (of the above) using the same angle in radians and degrees. For the non-inverse functions,   each radian/degree pair should use arguments that evaluate to the same angle   (that i...
#COBOL
COBOL
IDENTIFICATION DIVISION. PROGRAM-ID. Trig.   DATA DIVISION. WORKING-STORAGE SECTION. 01 Pi-Third USAGE COMP-2. 01 Degree USAGE COMP-2.   01 60-Degrees USAGE COMP-2.   01 Result USAGE COMP-2.   PROCEDURE DIVISION. COMPUTE Pi-Third = ...
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm
Trabb Pardo–Knuth algorithm
The TPK algorithm is an early example of a programming chrestomathy. It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages. The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of...
#Io
Io
  // Initialize objects to be used in_num := File standardInput() nums := List clone result := Number   // Prompt the user and get numbers from standard input "Please enter 11 numbers:" println 11 repeat(nums append(in_num readLine() asNumber()))   // Reverse the numbers received nums reverseInPlace   // Apply the func...
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm
Trabb Pardo–Knuth algorithm
The TPK algorithm is an early example of a programming chrestomathy. It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages. The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of...
#J
J
tpk=: 3 :0 smoutput 'Enter 11 numbers: ' t1=: ((5 * ^&3) + (^&0.5@* *))"0 |. _999&".;._1 ' ' , 1!:1 [ 1 smoutput 'Values of functions of reversed input: ' , ": t1  ; <@(,&' ')@": ` ((<'user alert ')&[) @. (>&400)"0 t1 )
http://rosettacode.org/wiki/Twelve_statements
Twelve statements
This puzzle is borrowed from   math-frolic.blogspot. Given the following twelve statements, which of them are true? 1. This is a numbered list of twelve statements. 2. Exactly 3 of the last 6 statements are true. 3. Exactly 2 of the even-numbered statements are true. 4. If statement 5 is true, then statemen...
#TXR
TXR
(defmacro defconstraints (name size-name (var) . forms) ^(progn (defvar ,size-name ,(length forms)) (defun ,name (,var) (list ,*forms))))   (defconstraints con con-count (s) (= (length s) con-count) ;; tautology (= (countq t [s -6..t]) 3) (= (countq t (mapcar (op if (evenp @1) @2) (range 1...
http://rosettacode.org/wiki/Twelve_statements
Twelve statements
This puzzle is borrowed from   math-frolic.blogspot. Given the following twelve statements, which of them are true? 1. This is a numbered list of twelve statements. 2. Exactly 3 of the last 6 statements are true. 3. Exactly 2 of the even-numbered statements are true. 4. If statement 5 is true, then statemen...
#uBasic.2F4tH
uBasic/4tH
S = 12 For T = 0 To (2^S)-1   For I = 1 To 12 Push T, 2^(I-1) : Gosub 100 @(I) = Pop() # 0 Next   REM Test consistency:   @(101) = @(1) = (S = 12) @(102) = @(2) = ((@(7)+@(8)+@(9)+@(10)+@(11)+@(12)) = 3) @(103) = @(3) = ((@(2)+@(4)+@(6)+@(8)+@(10)+@(12)) = 2) @(104) = @(4) = ((@(5)=0) + (@...
http://rosettacode.org/wiki/Truth_table
Truth table
A truth table is a display of the inputs to, and the output of a Boolean function organized as a table where each row gives one combination of input values and the corresponding value of the function. Task Input a Boolean function from the user as a string then calculate and print a formatted truth table for the g...
#Quackery
Quackery
[ stack ] is args ( --> s ) [ stack ] is results ( --> s ) [ stack ] is function ( --> s )   [ args share times [ sp 2 /mod iff [ char t ] else [ char f ] emit ] drop say " |...
http://rosettacode.org/wiki/Ulam_spiral_(for_primes)
Ulam spiral (for primes)
An Ulam spiral (of primes) is a method of visualizing primes when expressed in a (normally counter-clockwise) outward spiral (usually starting at 1),   constructed on a square grid, starting at the "center". An Ulam spiral is also known as a   prime spiral. The first grid (green) is shown with sequential integers,   ...
#Raku
Raku
sub MAIN($max = 160, $start = 1) { (my %world){0}{0} = 0; my $loc = 0+0i; my $dir = 1; my $n = $start; my $side = 0;   while ++$side < $max { step for ^$side; turn-left; step for ^$side; turn-left; }   braille-graphics %world;   sub step { $loc += $dir; %world{$loc.im}{$loc.re}...
http://rosettacode.org/wiki/Truncatable_primes
Truncatable primes
A truncatable prime is a prime number that when you successively remove digits from one end of the prime, you are left with a new prime number. Examples The number 997 is called a left-truncatable prime as the numbers 997, 97, and 7 are all prime. The number 7393 is a right-truncatable prime as the numbers 7393, 7...
#Julia
Julia
  function isltruncprime{T<:Integer}(n::T, base::T=10) isprime(n) || return false p = n f = prevpow(base, p) while 1 < f (d, p) = divrem(p, f) isprime(p) || return false d != 0 || return false f = div(f, base) end return true end   function isrtruncprime{T<:Intege...
http://rosettacode.org/wiki/Tree_traversal
Tree traversal
Task Implement a binary tree where each node carries an integer,   and implement:   pre-order,   in-order,   post-order,     and   level-order   traversal. Use those traversals to output the following tree: 1 / \ / \ / \ 2 3 / \ / 4 5 6 / ...
#Bracmat
Bracmat
( ( tree = 1 . (2.(4.7.) (5.)) (3.6.(8.) (9.)) ) & ( preorder = K sub .  !arg:(?K.?sub) ?arg & !K preorder$!sub preorder$!arg | ) & out$("preorder: " preorder$!tree) & ( inorder = K lhs rhs .  !arg:(?K.?sub) ?arg & (  !sub:%?lhs ?rhs & inorder...
http://rosettacode.org/wiki/Tokenize_a_string
Tokenize a string
Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word. Display the words to the 'user', in the simplest manner possible, separated by a period. To simplify, you may display a trailing period. Other tasks related to string operations: Me...
#AArch64_Assembly
AArch64 Assembly
  /* ARM assembly AARCH64 Raspberry PI 3B */ /* program strTokenize64.s */   /*******************************************/ /* Constantes file */ /*******************************************/ /* for this file see task include a file in language AArch64 assembly*/ .include "../includeConstantes...
http://rosettacode.org/wiki/Tokenize_a_string
Tokenize a string
Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word. Display the words to the 'user', in the simplest manner possible, separated by a period. To simplify, you may display a trailing period. Other tasks related to string operations: Me...
#ACL2
ACL2
(defun split-at (xs delim) (if (or (endp xs) (eql (first xs) delim)) (mv nil (rest xs)) (mv-let (before after) (split-at (rest xs) delim) (mv (cons (first xs) before) after))))   (defun split (xs delim) (if (endp xs) nil (mv-let (before after) (s...
http://rosettacode.org/wiki/Top_rank_per_group
Top rank per group
Task Find the top   N   salaries in each department,   where   N   is provided as a parameter. Use this data as a formatted internal data structure (adapt it to your language-native idioms, rather than parse at runtime), or identify your external data source: Employee Name,Employee ID,Salary,Department Tyler Bennett...
#Arturo
Arturo
printTopEmployees: function [count, entries][ data: read.csv.withHeaders entries departments: sort unique map data 'row -> row\Department loop departments 'd [ print "----------------------" print ["department:" d] print "----------------------" loop first.n: count ...
http://rosettacode.org/wiki/Towers_of_Hanoi
Towers of Hanoi
Task Solve the   Towers of Hanoi   problem with recursion.
#AmigaE
AmigaE
PROC move(n, from, to, via) IF n > 0 move(n-1, from, via, to) WriteF('Move disk from pole \d to pole \d\n', from, to) move(n-1, via, to, from) ENDIF ENDPROC   PROC main() move(4, 1,2,3) ENDPROC
http://rosettacode.org/wiki/Thue-Morse
Thue-Morse
Task Create a Thue-Morse sequence. See also   YouTube entry: The Fairest Sharing Sequence Ever   YouTube entry: Math and OCD - My story with the Thue-Morse sequence   Task: Fairshare between two and more
#BBC_BASIC
BBC BASIC
REM >thuemorse tm$ = "0" PRINT tm$ FOR i% = 1 TO 8 tm$ = FN_thue_morse(tm$) PRINT tm$ NEXT END : DEF FN_thue_morse(previous$) LOCAL i%, tm$ tm$ = "" FOR i% = 1 TO LEN previous$ IF MID$(previous$, i%, 1) = "1" THEN tm$ += "0" ELSE tm$ += "1" NEXT = previous$ + tm$
http://rosettacode.org/wiki/Thue-Morse
Thue-Morse
Task Create a Thue-Morse sequence. See also   YouTube entry: The Fairest Sharing Sequence Ever   YouTube entry: Math and OCD - My story with the Thue-Morse sequence   Task: Fairshare between two and more
#BCPL
BCPL
get "libhdr"   let parity(x) = x=0 -> 0, (x&1) neqv parity(x>>1)   let start() be $( for i=0 to 63 do writen(parity(i)) wrch('*N') $)
http://rosettacode.org/wiki/Thue-Morse
Thue-Morse
Task Create a Thue-Morse sequence. See also   YouTube entry: The Fairest Sharing Sequence Ever   YouTube entry: Math and OCD - My story with the Thue-Morse sequence   Task: Fairshare between two and more
#Befunge
Befunge
:0\:!v!:\+g20\<>*:*-!#@_ 86%2$_:2%02p2/^^82:+1,+*
http://rosettacode.org/wiki/Tonelli-Shanks_algorithm
Tonelli-Shanks algorithm
This page uses content from Wikipedia. The original article was at Tonelli-Shanks algorithm. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance) In computational number theory, the Tonelli–Shanks algor...
#FreeBASIC
FreeBASIC
' version 11-04-2017 ' compile with: fbc -s console ' maximum for p is 17 digits to be on the save side   ' TRUE/FALSE are built-in constants since FreeBASIC 1.04 ' But we have to define them for older versions. #Ifndef TRUE #Define FALSE 0 #Define TRUE Not FALSE #EndIf   Function mul_mod(a As ULongInt, b As UL...
http://rosettacode.org/wiki/Tokenize_a_string_with_escaping
Tokenize a string with escaping
Task[edit] Write a function or program that can split a string at each non-escaped occurrence of a separator character. It should accept three input parameters:   The string   The separator character   The escape character It should output a list of strings. Details Rules for splitting: The fields that were s...
#C.2B.2B
C++
#include <iostream> #include <stdexcept> #include <string> #include <vector>   using namespace std;   vector<string> tokenize(const string& input, char seperator, char escape) { vector<string> output; string token;   bool inEsc = false; for (char ch : input) { if (inEsc) { inEsc = fa...
http://rosettacode.org/wiki/Total_circles_area
Total circles area
Total circles area You are encouraged to solve this task according to the task description, using any language you may know. Example circles Example circles filtered Given some partially overlapping circles on the plane, compute and show the total area covered by them, with four or six (or a little more) decimal dig...
#Mathematica.2FWolfram_Language
Mathematica/Wolfram Language
data = ImportString[" 1.6417233788 1.6121789534 0.0848270516 -1.4944608174 1.2077959613 1.1039549836 0.6110294452 -0.6907087527 0.9089162485 0.3844862411 0.2923344616 0.2375743054 -0.2495892950 -0.3832854473 1.0845181219 1.7813504266 1.6178237031 0.8162655711 -0.1985249206 -0.8343333301 0.05388...
http://rosettacode.org/wiki/Topological_sort
Topological sort
Sorting Algorithm This is a sorting algorithm.   It may be applied to a set of data in order to sort it.     For comparing various sorts, see compare sorts.   For other sorting algorithms,   see sorting algorithms,   or: O(n logn) sorts Heap sort | Merge sort | Patience sort | Quick sort O(n log2n) sorts Shell Sort ...
#Common_Lisp
Common Lisp
(defun topological-sort (graph &key (test 'eql)) "Graph is an association list whose keys are objects and whose values are lists of objects on which the corresponding key depends. Test is used to compare elements, and should be a suitable test for hash-tables. Topological-sort returns two values. The first is a lis...
http://rosettacode.org/wiki/Universal_Turing_machine
Universal Turing machine
One of the foundational mathematical constructs behind computer science is the universal Turing Machine. (Alan Turing introduced the idea of such a machine in 1936–1937.) Indeed one way to definitively prove that a language is turing-complete is to implement a universal Turing machine in it. Task Simulate such ...
#Icon_and_Unicon
Icon and Unicon
record TM(start,final,delta,tape,blank) record delta(old_state, input_symbol, new_state, output_symbol, direction)   global start_tape global show_count, full_display, trace_list # trace flags   procedure main(args) init(args) runTuringMachine(get_tm()) end   procedure init(args) trace_list := ":" whil...
http://rosettacode.org/wiki/Totient_function
Totient function
The   totient   function is also known as:   Euler's totient function   Euler's phi totient function   phi totient function   Φ   function   (uppercase Greek phi)   φ    function   (lowercase Greek phi) Definitions   (as per number theory) The totient function:   counts the integers up to a given positiv...
#F.C5.8Drmul.C3.A6
Fōrmulæ
  : totient \ n -- n' ; DUP DUP 2 ?DO ( tot n ) DUP I DUP * < IF LEAVE THEN \ for(i=2;i*i<=n;i+=2){ DUP I MOD 0= IF \ if(n%i==0){ BEGIN DUP I /MOD SWAP 0= WHILE ( tot n n/i ) \ while(n%i==0); NIP ( tot n/i ) \ ...
http://rosettacode.org/wiki/Topswops
Topswops
Topswops is a card game created by John Conway in the 1970's. Assume you have a particular permutation of a set of   n   cards numbered   1..n   on both of their faces, for example the arrangement of four cards given by   [2, 4, 1, 3]   where the leftmost card is on top. A round is composed of reversing the first  ...
#Nim
Nim
import strformat   const maxBest = 32 var best: array[maxBest, int]   proc trySwaps(deck: seq[int], f, d, n: int) = if d > best[n]: best[n] = d   for i in countdown(n - 1, 0): if deck[i] == -1 or deck[i] == i: break if d + best[i] <= best[n]: return   var deck2 = deck for i in 1..<n: ...
http://rosettacode.org/wiki/Topswops
Topswops
Topswops is a card game created by John Conway in the 1970's. Assume you have a particular permutation of a set of   n   cards numbered   1..n   on both of their faces, for example the arrangement of four cards given by   [2, 4, 1, 3]   where the leftmost card is on top. A round is composed of reversing the first  ...
#PARI.2FGP
PARI/GP
flip(v:vec)={ my(t=v[1]+1); if (t==2, return(0)); for(i=1,t\2, [v[t-i],v[i]]=[v[i],v[t-i]]); 1+flip(v) } topswops(n)={ my(mx); for(i=0,n!-1, mx=max(flip(Vecsmall(numtoperm(n,i))),mx) ); mx; } vector(10,n,topswops(n))
http://rosettacode.org/wiki/Trigonometric_functions
Trigonometric functions
Task If your language has a library or built-in functions for trigonometry, show examples of:   sine   cosine   tangent   inverses   (of the above) using the same angle in radians and degrees. For the non-inverse functions,   each radian/degree pair should use arguments that evaluate to the same angle   (that i...
#Common_Lisp
Common Lisp
(defun deg->rad (x) (* x (/ pi 180))) (defun rad->deg (x) (* x (/ 180 pi)))   (mapc (lambda (x) (format t "~s => ~s~%" x (eval x))) '((sin (/ pi 4)) (sin (deg->rad 45)) (cos (/ pi 6)) (cos (deg->rad 30)) (tan (/ pi 3)) (tan (deg->rad 60)) (asin 1) (rad->deg (asin 1)) (acos 1/2) (ra...
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm
Trabb Pardo–Knuth algorithm
The TPK algorithm is an early example of a programming chrestomathy. It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages. The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of...
#Java
Java
/** * Alexander Alvonellos */ import java.util.*; import java.io.*;   public class TPKA { public static void main(String... args) { double[] input = new double[11]; double userInput = 0.0; Scanner in = new Scanner(System.in); for(int i = 0; i < 11; i++) { System.out.print("Please enter a number: "); ...
http://rosettacode.org/wiki/Twelve_statements
Twelve statements
This puzzle is borrowed from   math-frolic.blogspot. Given the following twelve statements, which of them are true? 1. This is a numbered list of twelve statements. 2. Exactly 3 of the last 6 statements are true. 3. Exactly 2 of the even-numbered statements are true. 4. If statement 5 is true, then statemen...
#VBA
VBA
Public s As String '-- (eg "101101100010") Public t As Integer '-- scratch Function s1() s1 = Len(s) = 12 End Function Function s2() t = 0 For i = 7 To 12 t = t - (Mid(s, i, 1) = "1") Next i s2 = t = 3 End Function Function s3() t = 0 For i = 2 To 12 Step 2 t = t - (Mi...
http://rosettacode.org/wiki/Truth_table
Truth table
A truth table is a display of the inputs to, and the output of a Boolean function organized as a table where each row gives one combination of input values and the corresponding value of the function. Task Input a Boolean function from the user as a string then calculate and print a formatted truth table for the g...
#R
R
  truth_table <- function(x) { vars <- unique(unlist(strsplit(x, "[^a-zA-Z]+"))) vars <- vars[vars != ""] perm <- expand.grid(rep(list(c(FALSE, TRUE)), length(vars))) names(perm) <- vars perm[ , x] <- with(perm, eval(parse(text = x))) perm }   "%^%" <- xor # define unary xor operator   truth_table("!A") # n...
http://rosettacode.org/wiki/Ulam_spiral_(for_primes)
Ulam spiral (for primes)
An Ulam spiral (of primes) is a method of visualizing primes when expressed in a (normally counter-clockwise) outward spiral (usually starting at 1),   constructed on a square grid, starting at the "center". An Ulam spiral is also known as a   prime spiral. The first grid (green) is shown with sequential integers,   ...
#REXX
REXX
/*REXX program shows counter─clockwise Ulam spiral of primes shown in a square matrix.*/ parse arg size init char . /*obtain optional arguments from the CL*/ if size=='' | size=="," then size= 79 /*Not specified? Then use the default.*/ if init=='' | init=="," then init= 1 ...
http://rosettacode.org/wiki/Truncatable_primes
Truncatable primes
A truncatable prime is a prime number that when you successively remove digits from one end of the prime, you are left with a new prime number. Examples The number 997 is called a left-truncatable prime as the numbers 997, 97, and 7 are all prime. The number 7393 is a right-truncatable prime as the numbers 7393, 7...
#Kotlin
Kotlin
// version 1.0.5-2   fun isPrime(n: Int) : Boolean { if (n < 2) return false if (n % 2 == 0) return n == 2 if (n % 3 == 0) return n == 3 var d : Int = 5 while (d * d <= n) { if (n % d == 0) return false d += 2 if (n % d == 0) return false d += 4 } return tru...
http://rosettacode.org/wiki/Tree_traversal
Tree traversal
Task Implement a binary tree where each node carries an integer,   and implement:   pre-order,   in-order,   post-order,     and   level-order   traversal. Use those traversals to output the following tree: 1 / \ / \ / \ 2 3 / \ / 4 5 6 / ...
#C
C
#include <stdlib.h> #include <stdio.h>   typedef struct node_s { int value; struct node_s* left; struct node_s* right; } *node;   node tree(int v, node l, node r) { node n = malloc(sizeof(struct node_s)); n->value = v; n->left = l; n->right = r; return n; }   void destroy_tree(node n) { if (n->left) ...
http://rosettacode.org/wiki/Tokenize_a_string
Tokenize a string
Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word. Display the words to the 'user', in the simplest manner possible, separated by a period. To simplify, you may display a trailing period. Other tasks related to string operations: Me...
#Action.21
Action!
SET EndProg=*
http://rosettacode.org/wiki/Tokenize_a_string
Tokenize a string
Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word. Display the words to the 'user', in the simplest manner possible, separated by a period. To simplify, you may display a trailing period. Other tasks related to string operations: Me...
#ActionScript
ActionScript
var hello:String = "Hello,How,Are,You,Today"; var tokens:Array = hello.split(","); trace(tokens.join("."));   // Or as a one-liner trace("Hello,How,Are,You,Today".split(",").join("."));
http://rosettacode.org/wiki/Top_rank_per_group
Top rank per group
Task Find the top   N   salaries in each department,   where   N   is provided as a parameter. Use this data as a formatted internal data structure (adapt it to your language-native idioms, rather than parse at runtime), or identify your external data source: Employee Name,Employee ID,Salary,Department Tyler Bennett...
#AutoHotkey
AutoHotkey
Departments = D050, D101, D190, D202 StringSplit, Department_, Departments, `,, %A_Space%   ; Employee Name, Employee ID, Salary, Department Add_Employee("Tyler Bennett ", "E10297", 32000, "D101") Add_Employee("John Rappl ", "E21437", 47000, "D050") Add_Employee("George Woltman ", "E00127", 53500, "D101") Ad...
http://rosettacode.org/wiki/Towers_of_Hanoi
Towers of Hanoi
Task Solve the   Towers of Hanoi   problem with recursion.
#Amazing_Hopper
Amazing Hopper
  #include <hopper.h> #proto hanoi(_X_,_Y_,_Z_,_W_) main: get arg number (2,discos) {discos}!neg? do{fail=0,mov(fail),{"I need a positive (or zero) number here, not: ",fail}println,exit(0)} pos? do{ _hanoi( discos, "A", "B", "C" ) } exit(0) .locals hanoi(discos,inicio,aux,fin) iif( {discos}eqto(1),...
http://rosettacode.org/wiki/Thue-Morse
Thue-Morse
Task Create a Thue-Morse sequence. See also   YouTube entry: The Fairest Sharing Sequence Ever   YouTube entry: Math and OCD - My story with the Thue-Morse sequence   Task: Fairshare between two and more
#BQN
BQN
TM ← {𝕩↑(⊢∾¬)⍟(1+⌈2⋆⁼𝕩)⥊0}   TM 25 #get first 25 elements
http://rosettacode.org/wiki/Thue-Morse
Thue-Morse
Task Create a Thue-Morse sequence. See also   YouTube entry: The Fairest Sharing Sequence Ever   YouTube entry: Math and OCD - My story with the Thue-Morse sequence   Task: Fairshare between two and more
#C
C
#include <stdio.h> #include <stdlib.h> #include <string.h>   int main(int argc, char *argv[]){ char sequence[256+1] = "0"; char inverse[256+1] = "1"; char buffer[256+1]; int i;   for(i = 0; i < 8; i++){ strcpy(buffer, sequence); strcat(sequence, inverse); strcat(inverse, buffer); }   puts(sequence); retur...
http://rosettacode.org/wiki/Tonelli-Shanks_algorithm
Tonelli-Shanks algorithm
This page uses content from Wikipedia. The original article was at Tonelli-Shanks algorithm. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance) In computational number theory, the Tonelli–Shanks algor...
#Go
Go
package main   import "fmt"   // Arguments n, p as described in WP // If Legendre symbol != 1, ok return is false. Otherwise ok return is true, // R1 is WP return value R and for convenience R2 is p-R1. func ts(n, p int) (R1, R2 int, ok bool) { // a^e mod p powModP := func(a, e int) int { s := 1 ...
http://rosettacode.org/wiki/Tokenize_a_string_with_escaping
Tokenize a string with escaping
Task[edit] Write a function or program that can split a string at each non-escaped occurrence of a separator character. It should accept three input parameters:   The string   The separator character   The escape character It should output a list of strings. Details Rules for splitting: The fields that were s...
#CLU
CLU
tokenize = iter (sep, esc: char, s: string) yields (string) escape: bool := false part: array[char] := array[char]$[] for c: char in string$chars(s) do if escape then escape := false array[char]$addh(part,c) elseif c=esc then escape := true els...
http://rosettacode.org/wiki/Tokenize_a_string_with_escaping
Tokenize a string with escaping
Task[edit] Write a function or program that can split a string at each non-escaped occurrence of a separator character. It should accept three input parameters:   The string   The separator character   The escape character It should output a list of strings. Details Rules for splitting: The fields that were s...
#COBOL
COBOL
>>SOURCE FORMAT FREE identification division. program-id. 'tokenizewithescaping'. environment division. configuration section. repository. function all intrinsic. data division. working-storage section.   01 escape-char pic x value '^'. 01 separator-char pic x value '|'. 01 reference-string pic x(64) value ...
http://rosettacode.org/wiki/Total_circles_area
Total circles area
Total circles area You are encouraged to solve this task according to the task description, using any language you may know. Example circles Example circles filtered Given some partially overlapping circles on the plane, compute and show the total area covered by them, with four or six (or a little more) decimal dig...
#MATLAB_.2F_Octave
MATLAB / Octave
function res = circles()   tic % % Size of my grid -- higher values => higher accuracy. % ngrid = 5000;   xc = [1.6417233788 -1.4944608174 0.6110294452 0.3844862411 -0.2495892950 1.7813504266 -0.1985249206 -1.7011985145 -0.4319462812 0.2178372997 -0.6294854565 1.7952608455 1.4168575317 1.4637371396 -0.5263668798...
http://rosettacode.org/wiki/Topological_sort
Topological sort
Sorting Algorithm This is a sorting algorithm.   It may be applied to a set of data in order to sort it.     For comparing various sorts, see compare sorts.   For other sorting algorithms,   see sorting algorithms,   or: O(n logn) sorts Heap sort | Merge sort | Patience sort | Quick sort O(n log2n) sorts Shell Sort ...
#Crystal
Crystal
def dfs_topo_visit(n, g, tmp, permanent, l) if permanent.includes?(n) return elsif tmp.includes?(n) raise "unorderable: circular dependency detected involving '#{n}'" end tmp.add(n)   g[n].each { |m| dfs_topo_visit(m, g, tmp, permanent, l) }   tmp.delete(n) perman...
http://rosettacode.org/wiki/Universal_Turing_machine
Universal Turing machine
One of the foundational mathematical constructs behind computer science is the universal Turing Machine. (Alan Turing introduced the idea of such a machine in 1936–1937.) Indeed one way to definitively prove that a language is turing-complete is to implement a universal Turing machine in it. Task Simulate such ...
#J
J
". noun define -. CRLF NB. Fixed tacit universal Turing machine code...   utm=. (((":@:(]&:>)@:(6&({::)) ,: (":@] 9&({::))) ,. ':'"_) ,. 2&({::) >@:(((48 + ] ) { a."_)@[ ; (] $ ' '"_) , '^'"_) 3&({::))@:([ (0 0 $ 1!:2&2)@:('A changeles s cycle was detected!'"_)^:(-.@:(_1"_ = 1&({::))))@:((((3&({::) + 8&({::)) ; ...
http://rosettacode.org/wiki/Totient_function
Totient function
The   totient   function is also known as:   Euler's totient function   Euler's phi totient function   phi totient function   Φ   function   (uppercase Greek phi)   φ    function   (lowercase Greek phi) Definitions   (as per number theory) The totient function:   counts the integers up to a given positiv...
#Forth
Forth
  : totient \ n -- n' ; DUP DUP 2 ?DO ( tot n ) DUP I DUP * < IF LEAVE THEN \ for(i=2;i*i<=n;i+=2){ DUP I MOD 0= IF \ if(n%i==0){ BEGIN DUP I /MOD SWAP 0= WHILE ( tot n n/i ) \ while(n%i==0); NIP ( tot n/i ) \ ...
http://rosettacode.org/wiki/Topswops
Topswops
Topswops is a card game created by John Conway in the 1970's. Assume you have a particular permutation of a set of   n   cards numbered   1..n   on both of their faces, for example the arrangement of four cards given by   [2, 4, 1, 3]   where the leftmost card is on top. A round is composed of reversing the first  ...
#Perl
Perl
  sub next_swop { my( $max, $level, $p, $d ) = @_; my $swopped = 0; for( 2..@$p ){ # find possibilities my @now = @$p; if( $_ == $now[$_-1] ) { splice @now, 0, 0, reverse splice @now, 0, $_; $swopped = 1; next_swop( $max, $level+1, \@now, [ @$d ] ); } } for( 1..@$d ) { # create p...
http://rosettacode.org/wiki/Trigonometric_functions
Trigonometric functions
Task If your language has a library or built-in functions for trigonometry, show examples of:   sine   cosine   tangent   inverses   (of the above) using the same angle in radians and degrees. For the non-inverse functions,   each radian/degree pair should use arguments that evaluate to the same angle   (that i...
#D
D
void main() { import std.stdio, std.math;   enum degrees = 45.0L; enum t0 = degrees * PI / 180.0L; writeln("Reference: 0.7071067811865475244008"); writefln("Sine:  %.20f  %.20f", PI_4.sin, t0.sin); writefln("Cosine:  %.20f  %.20f", PI_4.cos, t0.cos); writefln("Tangent:  %.20f  %.2...
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm
Trabb Pardo–Knuth algorithm
The TPK algorithm is an early example of a programming chrestomathy. It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages. The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of...
#JavaScript
JavaScript
#!/usr/bin/env js   function main() { var nums = getNumbers(11); nums.reverse(); for (var i in nums) { pardoKnuth(nums[i], fn, 400); } }   function pardoKnuth(n, f, max) { var res = f(n); putstr('f(' + String(n) + ')'); if (res > max) { print(' is too large'); } else { ...
http://rosettacode.org/wiki/Twelve_statements
Twelve statements
This puzzle is borrowed from   math-frolic.blogspot. Given the following twelve statements, which of them are true? 1. This is a numbered list of twelve statements. 2. Exactly 3 of the last 6 statements are true. 3. Exactly 2 of the even-numbered statements are true. 4. If statement 5 is true, then statemen...
#Wren
Wren
import "/fmt" for Conv, Fmt   var predicates = [ Fn.new { |s| s.count == 13 }, // indexing starts at 0 but first bit ignored Fn.new { |s| (7..12).count { |i| s[i] == "1" } == 3 }, Fn.new { |s| [2, 4, 6, 8, 10, 12].count { |i| s[i] == "1" } == 2 }, Fn.new { |s| s[5] == "0" || (s[6] == "1" && s[7] == "1"...
http://rosettacode.org/wiki/Truth_table
Truth table
A truth table is a display of the inputs to, and the output of a Boolean function organized as a table where each row gives one combination of input values and the corresponding value of the function. Task Input a Boolean function from the user as a string then calculate and print a formatted truth table for the g...
#Racket
Racket
  #lang racket   (define (collect-vars sexpr) (sort (remove-duplicates (let loop ([x sexpr]) (cond [(boolean? x) '()] [(symbol? x) (list x)] [(list? x) (append-map loop (cdr x))] [else (error 'truth-table "Bad expression: ~e" x)]))) string<? #:key symbol->string))  ...
http://rosettacode.org/wiki/Ulam_spiral_(for_primes)
Ulam spiral (for primes)
An Ulam spiral (of primes) is a method of visualizing primes when expressed in a (normally counter-clockwise) outward spiral (usually starting at 1),   constructed on a square grid, starting at the "center". An Ulam spiral is also known as a   prime spiral. The first grid (green) is shown with sequential integers,   ...
#Ring
Ring
  # Project : Ulam spiral (for primes)   load "guilib.ring" load "stdlib.ring"   paint = null   new qapp { win1 = new qwidget() { setwindowtitle("Ulam spiral") setgeometry(100,100,560,600) label1 = new qlabel(win1) { se...
http://rosettacode.org/wiki/Truncatable_primes
Truncatable primes
A truncatable prime is a prime number that when you successively remove digits from one end of the prime, you are left with a new prime number. Examples The number 997 is called a left-truncatable prime as the numbers 997, 97, and 7 are all prime. The number 7393 is a right-truncatable prime as the numbers 7393, 7...
#Lua
Lua
max_number = 1000000   numbers = {} for i = 2, max_number do numbers[i] = i; end   for i = 2, max_number do for j = i+1, max_number do if numbers[j] ~= 0 and j % i == 0 then numbers[j] = 0 end end end   max_prime_left, max_prime_right = 2, 2 for i = 2, max_number do if numbers[i] ~= 0 then ...
http://rosettacode.org/wiki/Tree_traversal
Tree traversal
Task Implement a binary tree where each node carries an integer,   and implement:   pre-order,   in-order,   post-order,     and   level-order   traversal. Use those traversals to output the following tree: 1 / \ / \ / \ 2 3 / \ / 4 5 6 / ...
#C.23
C#
using System; using System.Collections.Generic; using System.Linq;   class Node { int Value; Node Left; Node Right;   Node(int value = default(int), Node left = default(Node), Node right = default(Node)) { Value = value; Left = left; Right = right; }   IEnumerable<int...
http://rosettacode.org/wiki/Tokenize_a_string
Tokenize a string
Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word. Display the words to the 'user', in the simplest manner possible, separated by a period. To simplify, you may display a trailing period. Other tasks related to string operations: Me...
#Ada
Ada
with Ada.Text_IO, Ada.Containers.Indefinite_Vectors, Ada.Strings.Fixed, Ada.Strings.Maps; use Ada.Text_IO, Ada.Containers, Ada.Strings, Ada.Strings.Fixed, Ada.Strings.Maps;   procedure Tokenize is package String_Vectors is new Indefinite_Vectors (Positive, String); use String_Vectors; Input  : String  := "Hel...
http://rosettacode.org/wiki/Top_rank_per_group
Top rank per group
Task Find the top   N   salaries in each department,   where   N   is provided as a parameter. Use this data as a formatted internal data structure (adapt it to your language-native idioms, rather than parse at runtime), or identify your external data source: Employee Name,Employee ID,Salary,Department Tyler Bennett...
#AWK
AWK
  # syntax: GAWK -f TOP_RANK_PER_GROUP.AWK [n] # # sorting: # PROCINFO["sorted_in"] is used by GAWK # SORTTYPE is used by Thompson Automation's TAWK # BEGIN { arrA[++n] = "Employee Name,Employee ID,Salary,Department" # raw data arrA[++n] = "Tyler Bennett,E10297,32000,D101" arrA[++n] = "John Rappl,E21437...
http://rosettacode.org/wiki/Towers_of_Hanoi
Towers of Hanoi
Task Solve the   Towers of Hanoi   problem with recursion.
#APL
APL
hanoi←{ move←{ n from to via←⍵ n≤0:⍬ l←∇(n-1) from via to r←∇(n-1) via to from l,(⊂from to),r } '⊂Move disk from pole ⊃,I1,⊂ to pole ⊃,I1'⎕FMT↑move ⍵ }
http://rosettacode.org/wiki/Thue-Morse
Thue-Morse
Task Create a Thue-Morse sequence. See also   YouTube entry: The Fairest Sharing Sequence Ever   YouTube entry: Math and OCD - My story with the Thue-Morse sequence   Task: Fairshare between two and more
#C.23
C#
using System; using System.Text;   namespace ThueMorse { class Program { static void Main(string[] args) { Sequence(6); }   public static void Sequence(int steps) { var sb1 = new StringBuilder("0"); var sb2 = new StringBuilder("1"); ...
http://rosettacode.org/wiki/Thue-Morse
Thue-Morse
Task Create a Thue-Morse sequence. See also   YouTube entry: The Fairest Sharing Sequence Ever   YouTube entry: Math and OCD - My story with the Thue-Morse sequence   Task: Fairshare between two and more
#C.2B.2B
C++
  #include <iostream> #include <iterator> #include <vector> int main( int argc, char* argv[] ) { std::vector<bool> t; t.push_back( 0 ); size_t len = 1; std::cout << t[0] << "\n"; do { for( size_t x = 0; x < len; x++ ) t.push_back( t[x] ? 0 : 1 ); std::copy( t.begin(), t.e...
http://rosettacode.org/wiki/Tonelli-Shanks_algorithm
Tonelli-Shanks algorithm
This page uses content from Wikipedia. The original article was at Tonelli-Shanks algorithm. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance) In computational number theory, the Tonelli–Shanks algor...
#Haskell
Haskell
import Data.List (genericTake, genericLength) import Data.Bits (shiftR)   powMod :: Integer -> Integer -> Integer -> Integer powMod m b e = go b e 1 where go b e r | e == 0 = r | odd e = go ((b*b) `mod` m) (e `div` 2) ((r*b) `mod` m) | even e = go ((b*b) `mod` m) (e `div` 2) r   legendre :: In...
http://rosettacode.org/wiki/Tokenize_a_string_with_escaping
Tokenize a string with escaping
Task[edit] Write a function or program that can split a string at each non-escaped occurrence of a separator character. It should accept three input parameters:   The string   The separator character   The escape character It should output a list of strings. Details Rules for splitting: The fields that were s...
#Common_Lisp
Common Lisp
(defun split (input separator escape) (flet ((make-string-buffer () (make-array 0 :element-type 'character :adjustable t :fill-pointer t))) (loop with token = (make-string-buffer) with result = nil with to-be-escaped = nil for ch across input do (cond (to-be-esca...
http://rosettacode.org/wiki/Total_circles_area
Total circles area
Total circles area You are encouraged to solve this task according to the task description, using any language you may know. Example circles Example circles filtered Given some partially overlapping circles on the plane, compute and show the total area covered by them, with four or six (or a little more) decimal dig...
#Nim
Nim
import sequtils   type Circle = tuple[x, y, r: float]   const circles: seq[Circle] = @[ ( 1.6417233788, 1.6121789534, 0.0848270516), (-1.4944608174, 1.2077959613, 1.1039549836), ( 0.6110294452, -0.6907087527, 0.9089162485), ( 0.3844862411, 0.2923344616, 0.2375743054), (-0.2495892950, -0.3832854473, 1.08451...
http://rosettacode.org/wiki/Total_circles_area
Total circles area
Total circles area You are encouraged to solve this task according to the task description, using any language you may know. Example circles Example circles filtered Given some partially overlapping circles on the plane, compute and show the total area covered by them, with four or six (or a little more) decimal dig...
#Perl
Perl
use strict; use warnings; use feature 'say';   use List::AllUtils <min max>;   my @circles = ( [ 1.6417233788, 1.6121789534, 0.0848270516], [-1.4944608174, 1.2077959613, 1.1039549836], [ 0.6110294452, -0.6907087527, 0.9089162485], [ 0.3844862411, 0.2923344616, 0.2375743054], [-0.2495892950, -0.38...
http://rosettacode.org/wiki/Topological_sort
Topological sort
Sorting Algorithm This is a sorting algorithm.   It may be applied to a set of data in order to sort it.     For comparing various sorts, see compare sorts.   For other sorting algorithms,   see sorting algorithms,   or: O(n logn) sorts Heap sort | Merge sort | Patience sort | Quick sort O(n log2n) sorts Shell Sort ...
#D
D
import std.stdio, std.string, std.algorithm, std.range;   final class ArgumentException : Exception { this(string text) pure nothrow @safe /*@nogc*/ { super(text); } }   alias TDependencies = string[][string];   string[][] topoSort(TDependencies d) pure /*nothrow @safe*/ { foreach (immutable k, v; d...
http://rosettacode.org/wiki/Universal_Turing_machine
Universal Turing machine
One of the foundational mathematical constructs behind computer science is the universal Turing Machine. (Alan Turing introduced the idea of such a machine in 1936–1937.) Indeed one way to definitively prove that a language is turing-complete is to implement a universal Turing machine in it. Task Simulate such ...
#Java
Java
import java.util.HashMap; import java.util.HashSet; import java.util.LinkedList; import java.util.ListIterator; import java.util.List; import java.util.Set; import java.util.Map;   public class UTM { private List<String> tape; private String blankSymbol; private ListIterator<String> head; private Map<St...
http://rosettacode.org/wiki/Totient_function
Totient function
The   totient   function is also known as:   Euler's totient function   Euler's phi totient function   phi totient function   Φ   function   (uppercase Greek phi)   φ    function   (lowercase Greek phi) Definitions   (as per number theory) The totient function:   counts the integers up to a given positiv...
#Go
Go
package main   import "fmt"   func gcd(n, k int) int { if n < k || k < 1 { panic("Need n >= k and k >= 1") }   s := 1 for n&1 == 0 && k&1 == 0 { n >>= 1 k >>= 1 s <<= 1 }   t := n if n&1 != 0 { t = -k } for t != 0 { for t&1 == 0 { ...
http://rosettacode.org/wiki/Topswops
Topswops
Topswops is a card game created by John Conway in the 1970's. Assume you have a particular permutation of a set of   n   cards numbered   1..n   on both of their faces, for example the arrangement of four cards given by   [2, 4, 1, 3]   where the leftmost card is on top. A round is composed of reversing the first  ...
#Phix
Phix
with javascript_semantics function fannkuch(integer n) sequence count = tagset(n), perm1 = tagset(n) integer maxFlipsCount = 0, r = n+1 while true do while r!=1 do count[r-1] = r r -= 1 end while if not (perm1[1]=1 or perm1[n]=n) then ...