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http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#BASIC256
BASIC256
function Sum (x, y) Sum = x + y # using name of function end function   function SumR (x, y) return x + y # using Return keyword which always returns immediately end function   print Sum (1, 2) print SumR(2, 3)
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Clojure
Clojure
  user=> 3 3 user=> (Math/pow *1 2) 9.0 user=> (Math/pow *2 0.5) 1.7320508075688772  
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Erlang
Erlang
7> 1 + 2. 3 8> v(-1). 3
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Forth
Forth
: myloop 11 1 do i . loop cr ; myloop
http://rosettacode.org/wiki/Towers_of_Hanoi
Towers of Hanoi
Task Solve the   Towers of Hanoi   problem with recursion.
#11l
11l
F hanoi(ndisks, startPeg = 1, endPeg = 3) -> N I ndisks hanoi(ndisks - 1, startPeg, 6 - startPeg - endPeg) print(‘Move disk #. from peg #. to peg #.’.format(ndisks, startPeg, endPeg)) hanoi(ndisks - 1, 6 - startPeg - endPeg, endPeg)   hanoi(ndisks' 3)
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...
#11l
11l
T Circle Float x, y, r F (x, y, r) .x = x .y = y .r = r   V circles = [ 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, 0.2375743054), Circle(...
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 ...
#CLU
CLU
% Bidirectional 'infinite' tape tape = cluster [T: type] is make, left, right, get_cell, set_cell, elements, get_size rep = record[ blank: T, loc: int, data: array[T] ]    % Make a new tape with a given blank value and initial value make = proc (blank:...
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...
#APL
APL
task←{ totient ← 1+.=⍳∨⊢ prime ← totient=-∘1   ⎕←'Index' 'Totient' 'Prime',(⊢⍪totient¨,[÷2]prime¨)⍳25 {⎕←'There are' (+/prime¨⍳⍵) 'primes below' ⍵}¨100 1000 10000 }
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  ...
#Eiffel
Eiffel
  class TOPSWOPS   create make   feature   make (n: INTEGER) -- Topswop game. local perm, ar: ARRAY [INTEGER] tcount, count: INTEGER do create perm_sol.make_empty create solution.make_empty across 1 |..| n as c loop create ar.make_filled (0, 1, c.item) across 1 |..| c.item a...
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...
#Autolisp
Autolisp
  (defun rad_to_deg (rad)(* 180.0 (/ rad PI))) (defun deg_to_rad (deg)(* PI (/ deg 180.0)))   (defun asin (x) (cond ((and(> x -1.0)(< x 1.0)) (atan (/ x (sqrt (- 1.0 (* x x)))))) ((= x -1.0) (* -1.0 (/ pi 2))) ((= x 1) (/ pi 2)) ) )   (defun acos (x) (cond ((and(>= x -1.0)(<= x 1.0)) (-(* pi 0.5...
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...
#BASIC256
BASIC256
dim s(11) print 'enter 11 numbers' for i = 0 to 10 input i + ">" , s[i] next i   for i = 10 to 0 step -1 print "f(" + s[i] + ")="; x = f(s[i]) if x > 400 then print "-=< overflow >=-" else print x endif next i end   function f(n) return sqrt(abs(n))+5*n^3 end function
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...
#C
C
  #include<math.h> #include<stdio.h>   int main () { double inputs[11], check = 400, result; int i;   printf ("\nPlease enter 11 numbers :");   for (i = 0; i < 11; i++) { scanf ("%lf", &inputs[i]); }   printf ("\n\n\nEvaluating f(x) = |x|^0.5 + 5x^3 for the given inputs :");   for (i = 10; i >...
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...
#Nim
Nim
import bitops, sequtils, strformat, strutils, sugar   type Bools = array[1..12, bool]   const Predicates = [1: (b: Bools) => b.len == 12, 2: (b: Bools) => b[7..12].count(true) == 3, 3: (b: Bools) => toSeq(countup(2, 12, 2)).mapIt(b[it]).count(true) == 2, 4:...
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...
#Pascal
Pascal
PROGRAM TwelveStatements;   { This program searches through the 4095 possible sets of 12 statements for any which may be self-consistent. }   CONST max12b = 4095; { Largest 12 byte number. }   TYPE statnum = 1..12; { statement numbers } statset = set of statnum; { sets of statements }   VAR { global va...
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...
#Liberty_BASIC
Liberty BASIC
  print print " TRUTH TABLES" print print " Input a valid Boolean expression for creating the truth table " print " Use lowercase 'and', 'or', 'xor', '(', 'not(' and ')'." print print " Take special care to precede closing bracket with a space." print print " You can use any alphanumeric...
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,   ...
#Mathematica_.2F_Wolfram_Language
Mathematica / Wolfram Language
ClearAll[iCCWSpiralEast] iCCWSpiralEast[n_Integer]:=Table[(1/2 (-1)^# ({1,-1} (Abs[#^2-t]-#)+#^2-t-Mod[#,2])&)[Round[Sqrt[t]]],{t,0,n-1}] n=20 start=1; pts=iCCWSpiralEast[n^2]; pts=Pick[pts,PrimeQ[start+Range[n^2]-1],True]; grid=Table[({i,j}/.(Alternatives@@pts)->"#")/.{_,_}->" ",{j,Round[n/2],-Round[n/2],-1},{i,-Round...
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...
#Elixir
Elixir
defmodule Prime do defp left_truncatable?(n, prime) do func = fn i when i<=9 -> 0 i -> to_string(i) |> String.slice(1..-1) |> String.to_integer end truncatable?(n, prime, func) end   defp right_truncatable?(n, prime) do truncatable?(n, prime, fn i -> div(i, 10) end) end   d...
http://rosettacode.org/wiki/Truncate_a_file
Truncate a file
Task Truncate a file to a specific length.   This should be implemented as a routine that takes two parameters: the filename and the required file length (in bytes). Truncation can be achieved using system or library calls intended for such a task, if such methods exist, or by creating a temporary file of a reduced...
#XPL0
XPL0
int I, Size, FD; char C, FN(80), Array; [I:= 0; \get file name from command line loop [C:= ChIn(8); if C = $20 \space\ then quit; FN(I):= C; I:= I+1; ]; FN(I):= 0; Size:= IntIn(8); \get number of bytes from command line if Size = 0 then [Text(0, "Length n...
http://rosettacode.org/wiki/Truncate_a_file
Truncate a file
Task Truncate a file to a specific length.   This should be implemented as a routine that takes two parameters: the filename and the required file length (in bytes). Truncation can be achieved using system or library calls intended for such a task, if such methods exist, or by creating a temporary file of a reduced...
#ZX_Spectrum_Basic
ZX Spectrum Basic
10 CLEAR 29999 20 INPUT "Which file do you want to truncate?";f$ 30 PRINT "Start tape to load file to truncate." 40 LOAD f$ CODE 30000 50 "Input how many bytes do you want to keep?";n 60 PRINT "Please rewind the tape and press record." 70 SAVE f$ CODE 30000,n 80 STOP
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 / ...
#ACL2
ACL2
(defun flatten-preorder (tree) (if (endp tree) nil (append (list (first tree)) (flatten-preorder (second tree)) (flatten-preorder (third tree)))))   (defun flatten-inorder (tree) (if (endp tree) nil (append (flatten-inorder (second tree)) (l...
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#FreeBASIC
FreeBASIC
' FB 1.05.0 Win64   ' Three different ways of returning a value from a function   Function Sum (x As Integer, y As Integer) As Integer Sum = x + y '' using name of function End Function   Function Sum2 (x As Integer, y As Integer) As Integer Function = x + y '' using Function keyword End Function   Function Sum3 ...
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Go
Go
package main   import ( "math" "os" "strconv" "text/template" )   func sqr(x string) string { f, err := strconv.ParseFloat(x, 64) if err != nil { return "NA" } return strconv.FormatFloat(f*f, 'f', -1, 64) }   func sqrt(x string) string { f, err := strconv.ParseFloat(x, 64) ...
http://rosettacode.org/wiki/Towers_of_Hanoi
Towers of Hanoi
Task Solve the   Towers of Hanoi   problem with recursion.
#360_Assembly
360 Assembly
* Towers of Hanoi 08/09/2015 HANOITOW CSECT USING HANOITOW,R12 r12 : base register LR R12,R15 establish base register ST R14,SAVE14 save r14 BEGIN LH R2,=H'4' n <=== L R3,=C'123 ' stating position ...
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...
#Arturo
Arturo
circles: @[ @[ 1.6417233788 1.6121789534 0.0848270516] @[neg 1.4944608174 1.2077959613 1.1039549836] @[ 0.6110294452 neg 0.6907087527 0.9089162485] @[ 0.3844862411 0.2923344616 0.2375743054] @[neg 0.2495892950 neg 0.3832854473 1.0845181219] @[ 1.7813504266 1.617823703...
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 ...
#Common_Lisp
Common Lisp
(defun turing (initial terminal blank rules tape &optional (verbose NIL)) (labels ((combine (front back) (if front (combine (cdr front) (cons (car front) back)) back))   (update-tape (old-front old-back new-content move) (cond ((eq move 'right) ...
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...
#ARM_Assembly
ARM Assembly
  /* ARM assembly Raspberry PI or android with termux */ /* program totient.s */   /* REMARK 1 : this program use routines in a include file see task Include a file language arm assembly for the routine affichageMess conversion10 see at end of this program the instruction include */ /* for constantes se...
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  ...
#Elixir
Elixir
defmodule Topswops do def get_1_first( [1 | _t] ), do: 0 def get_1_first( list ), do: 1 + get_1_first( swap(list) )   defp swap( [n | _t]=list ) do {swaps, remains} = Enum.split( list, n ) Enum.reverse( swaps, remains ) end   def task do IO.puts "N\ttopswaps" Enum.map(1..10, fn n -> {n, permut...
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  ...
#Erlang
Erlang
  -module( topswops ).   -export( [get_1_first/1, swap/1, task/0] ).   get_1_first( [1 | _T] ) -> 0; get_1_first( List ) -> 1 + get_1_first( swap(List) ).   swap( [N | _T]=List ) -> {Swaps, Remains} = lists:split( N, List ), lists:reverse( Swaps ) ++ Remains.   task() -> Permutations = [{X, permute:permute(lists:seq...
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...
#AWK
AWK
# tan(x) = tangent of x function tan(x) { return sin(x) / cos(x) }   # asin(y) = arcsine of y, domain [-1, 1], range [-pi/2, pi/2] function asin(y) { return atan2(y, sqrt(1 - y * y)) }   # acos(x) = arccosine of x, domain [-1, 1], range [0, pi] function acos(x) { return atan2(sqrt(1 - x * x), x) }   # atan(y) = arct...
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...
#C.2B.2B
C++
  #include <iostream> #include <cmath> #include <vector> #include <algorithm> #include <iomanip>   int main( ) { std::vector<double> input( 11 ) , results( 11 ) ; std::cout << "Please enter 11 numbers!\n" ; for ( int i = 0 ; i < input.size( ) ; i++ ) std::cin >> input[i];   std::transform( input.begi...
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...
#Perl
Perl
use List::Util 'sum';   my @condition = ( sub { 0 }, # dummy sub for index 0 sub { 13==@_ }, sub { 3==sum @_[7..12] }, sub { 2==sum @_[2,4,6,8,10,12] }, sub { $_[5] ? ($_[6] and $_[7]) : 1 }, sub { !$_[2] and !$_[3] a...
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...
#Mathematica.2FWolfram_Language
Mathematica/Wolfram Language
VariableNames[data_] := Module[ {TokenRemoved}, TokenRemoved = StringSplit[data,{"~And~","~Or~","~Xor~","!","(",")"}]; Union[Select[Map[StringTrim,TokenRemoved] , Not[StringMatchQ[#,""]]&]] ]   TruthTable[BooleanEquation_] := Module[ {TestDataSet}, TestDataSet = MapThread[Rule,{ToExpression@VariableNames[BooleanEqu...
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,   ...
#Nim
Nim
import strutils   const N = 51 # Grid width and height.   type Vec2 = tuple[x, y: int] Grid = array[N, array[N, string]]   const Deltas: array[4, Vec2] = [(0, 1), (-1, 0), (0, -1), (1, 0)]     proc `+`(v1, v2: Vec2): Vec2 = ## Vector addition. (v1.x + v2.x, v1.y + v2.y)     proc isPrime(n: Positive): bool = ...
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...
#Factor
Factor
USING: formatting fry grouping.extras kernel literals math math.parser math.primes sequences ; IN: rosetta-code.truncatable-primes   CONSTANT: primes $[ 1,000,000 primes-upto reverse ]   : number>digits ( n -- B{} ) number>string string>digits ;   : no-zeros? ( seq -- ? ) [ zero? not ] all? ;   : all-prime? ( seq -- ? ...
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 / ...
#Action.21
Action!
SET EndProg=*
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Haskell
Haskell
  Prelude> [1..10] [1,2,3,4,5,6,7,8,9,10] Prelude> map (^2) it [1,4,9,16,25,36,49,64,81,100]  
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#J
J
example=: *:, %: NB. *: is square, %: is square root example 3 9 1.73205
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#jq
jq
julia> 3 3 julia> ans * ans, ans - 1 (9, 2)
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Julia
Julia
julia> 3 3 julia> ans * ans, ans - 1 (9, 2)
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Kotlin
Kotlin
// version 1.1.2   fun main(args: Array<String>) { 3.let { println(it) println(it * it) println(Math.sqrt(it.toDouble())) } }
http://rosettacode.org/wiki/Towers_of_Hanoi
Towers of Hanoi
Task Solve the   Towers of Hanoi   problem with recursion.
#8080_Assembly
8080 Assembly
org 100h lhld 6 ; Top of CP/M usable memory sphl ; Put the stack there lxi b,0401h ; Set up first arguments to move() lxi d,0203h call move ; move(4, 1, 2, 3) rst 0 ; quit program ;;; Move B disks from C via D to E. move: dcr b ; One fewer disk in next iteration jz mvout ; If this was the last disk, print mo...
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...
#C
C
#include <stdio.h> #include <stdlib.h> #include <math.h> #include <time.h> #include <stdbool.h>   typedef double Fp; typedef struct { Fp x, y, r; } Circle;   Circle circles[] = { { 1.6417233788, 1.6121789534, 0.0848270516}, {-1.4944608174, 1.2077959613, 1.1039549836}, { 0.6110294452, -0.6907087527, 0.9089...
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 ...
#Cowgol
Cowgol
include "cowgol.coh"; include "strings.coh"; include "malloc.coh";   ############################################################################### ########################## Turing machine definition ########################## ############################################################################### typedef Sym...
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...
#AWK
AWK
  # syntax: GAWK -f TOTIENT_FUNCTION.AWK BEGIN { print(" N Phi isPrime") for (n=1; n<=1000000; n++) { tot = totient(n) if (n-1 == tot) { count++ } if (n <= 25) { printf("%2d %3d %s\n",n,tot,(n-1==tot)?"true":"false") if (n == 25) { printf("\n Limit Prim...
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  ...
#Factor
Factor
USING: formatting kernel math math.combinatorics math.order math.ranges sequences ; FROM: sequences.private => exchange-unsafe ; IN: rosetta-code.topswops   ! Reverse a subsequence in-place from 0 to n. : head-reverse! ( seq n -- seq' ) dupd [ 2/ ] [ ] bi rot [ [ over - 1 - ] dip exchange-unsafe ] 2curry each-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  ...
#Fortran
Fortran
module top implicit none contains recursive function f(x) result(m) integer :: n, m, x(:),y(size(x)), fst fst = x(1) if (fst == 1) then m = 0 else y(1:fst) = x(fst:1:-1) y(fst+1:) = x(fst+1:) m = 1 + f(y) end if end function   recursive function perms(x) result(p) integer, pointer :: 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...
#Axe
Axe
Disp sin(43)▶Dec,i Disp cos(43)▶Dec,i Disp tan⁻¹(10,10)▶Dec,i
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...
#Commodore_BASIC
Commodore BASIC
  10 REM TRABB PARDO-KNUTH ALGORITHM 20 REM USED "MAGIC NUMBERS" BECAUSE OF STRICT SPECIFICATION OF THE ALGORITHM. 30 DEF FNF(N)=SQR(ABS(N))+5*N*N*N 40 DIM S(10) 50 PRINT "ENTER 11 NUMBERS." 60 FOR I=0 TO 10 70 PRINT STR$(I+1); 80 INPUT S(I) 90 NEXT I 100 PRINT 110 REM REVERSE 120 FOR I=0 TO 10/2 130 TMP=S(I) 140 S(I)=...
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...
#Common_Lisp
Common Lisp
(defun read-numbers () (princ "Enter 11 numbers (space-separated): ") (let ((numbers '())) (dotimes (i 11 numbers) (push (read) numbers))))   (defun trabb-pardo-knuth (func overflowp) (let ((S (read-numbers))) (format T "~{~a~%~}" (substitute-if "Overflow!" overflowp (mapcar func S))))) ...
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...
#Phix
Phix
function s1(string s) return length(s)=12 end function function s2(string s) return sum(sq_eq(s[7..12],'1'))=3 end function function s3(string s) return sum(sq_eq(extract(s,tagset(12,2,2)),'1'))=2 end function function s4(string s) return s[5]='0' or s[6..7]="11" end function function s5(string s) return s[2..4]="000" ...
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...
#Maxima
Maxima
/* Maxima already has the following logical operators =, # (not equal), not, and, or define some more and set 'binding power' (operator precedence) for them */ infix("xor", 60)$ "xor"(A,B):= (A or B) and not(A and B)$   infix("=>", 59)$ "=>"(A,B):= not A or B$   /* Substitute variables `r' in `e' with values ...
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,   ...
#PARI.2FGP
PARI/GP
  \\ Ulam spiral (plotting/printing) \\ 4/19/16 aev plotulamspir(n,pflg=0)={ my(n=if(n%2==0,n++,n),M=matrix(n,n),x,y,xmx,ymx,cnt,dir,n2=n*n,pch,sz=#Str(n2),pch2=srepeat(" ",sz)); if(pflg<0||pflg>2,pflg=0); print(" *** Ulam spiral: ",n,"x",n," matrix, p-flag=",pflg); x=y=n\2+1; xmx=ymx=cnt=1; dir="R"; for(i=1,n2, if...
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...
#Forth
Forth
: prime? ( n -- ? ) here + c@ 0= ; : notprime! ( n -- ) here + 1 swap c! ;   : sieve ( n -- ) here over erase 0 notprime! 1 notprime! 2 begin 2dup dup * > while dup prime? if 2dup dup * do i notprime! dup +loop then 1+ repeat 2drop ;   : left_truncatable_prime? ( n --...
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 / ...
#Ada
Ada
with Ada.Text_Io; use Ada.Text_Io; with Ada.Unchecked_Deallocation; with Ada.Containers.Doubly_Linked_Lists;   procedure Tree_Traversal is type Node; type Node_Access is access Node; type Node is record Left : Node_Access := null; Right : Node_Access := null; Data : Integer; end record; ...
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Mathematica.2FWolfram_Language
Mathematica/Wolfram Language
In[1]:= 3 Out[1]= 3 In[2]:= %1^2 Out[2]= 9 In[3]:= Sqrt[%%] Out[3]= Sqrt[3] In[4]:= N[Out[-1]] (* for floating point *) Out[4]= 1.73205
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Nim
Nim
for _ in 1..10: echo "Hello World!"
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Oforth
Oforth
3 dup sq swap sqrt
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#PARI.2FGP
PARI/GP
3 [sqrt(%),%^2]
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Perl
Perl
print sqrt . " " for (4, 16, 64)
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Phix
Phix
with javascript_semantics object _ _ = 3 ?_ ?_*_
http://rosettacode.org/wiki/Towers_of_Hanoi
Towers of Hanoi
Task Solve the   Towers of Hanoi   problem with recursion.
#8086_Assembly
8086 Assembly
cpu 8086 bits 16 org 100h section .text mov bx,0402h ; Set up first arguments to move() mov cx,0103h ; Registers chosen s.t. CX contains output ;;; Move BH disks from CH via BL to CL move: dec bh ; One fewer disk in next iteration jz .out ; If this was last disk, just print move push bx ; Save the registers ...
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...
#11l
11l
F token_with_escape(a, escape = ‘^’, separator = ‘|’) [String] result V token = ‘’ V state = 0 L(c) a I state == 0 I c == escape state = 1 E I c == separator result.append(token) token = ‘’ E token ‘’= c E I state == 1 ...
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...
#D
D
import std.stdio, std.math, std.algorithm, std.typecons, std.range;   alias Fp = real; struct Circle { Fp x, y, r; }   void removeInternalDisks(ref Circle[] circles) pure nothrow @safe { static bool isFullyInternal(in Circle c1, in Circle c2) pure nothrow @safe @nogc { if (c1.r > c2.r) // Quick exit. ...
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 ...
#D
D
import std.stdio, std.algorithm, std.string, std.conv, std.array, std.exception, std.traits, std.math, std.range;   struct UTM(State, Symbol, bool doShow=true) if (is(State == enum) && is(Symbol == enum)) { static assert(is(typeof({ size_t x = State.init; })), "State must to be usable as ar...
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...
#BQN
BQN
GCD ← {𝕨(|𝕊⍟(>⟜0)⊣)𝕩} Totient ← +´1=⊢GCD¨1+↕
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  ...
#Go
Go
// Adapted from http://www-cs-faculty.stanford.edu/~uno/programs/topswops.w // at Donald Knuth's web site. Algorithm credited there to Pepperdine // and referenced to Mathematical Gazette 73 (1989), 131-133. package main   import "fmt"   const ( // array sizes maxn = 10 // max number of cards maxl = 50 // uppe...
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...
#BaCon
BaCon
' Trigonometric functions in BaCon use Radians for input values ' The RAD() function converts from degrees to radians   FOR v$ IN "0, 10, 45, 90, 190.5" d = VAL(v$) * 1.0 r = RAD(d) * 1.0   PRINT "Sine: ", d, " degrees (or ", r, " radians) is ", SIN(r) PRINT "Cosine: ", d, " degrees (or ", r, " radians)...
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...
#D
D
import std.stdio, std.math, std.conv, std.algorithm, std.array;   double f(in double x) pure nothrow { return x.abs.sqrt + 5 * x ^^ 3; }   void main() { double[] data;   while (true) { "Please enter eleven numbers on a line: ".write; data = readln.split.map!(to!double).array; if (dat...
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...
#EchoLisp
EchoLisp
  (define (trabb-fun n) (+ (* 5 n n n) (sqrt(abs n))))   (define (check-trabb n) (if (number? n) (if (<= (trabb-fun n) 400) (printf "🌱 f(%d) = %d" n (trabb-fun n)) (printf "❌ f(%d) = %d" n (trabb-fun n))) (error "not a number" n)))   (define (trabb (numlist null)) (while (< (length numlist) 11) (set! num...
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...
#Picat
Picat
% {{trans|Prolog}} go ?=> puzzle, fail, % check for more answers nl. go => true.   puzzle =>  % 1. This is a numbered list of twelve statements. L = [A1, A2, A3, A4, A5, A6, A7, A8, A9, A10, A11, A12], L :: 0..1, element(1, L, 1),    % 2. Exactly 3 of the last 6 statements are true. A2 #<=> s...
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...
#Prolog
Prolog
puzzle :- % 1. This is a numbered list of twelve statements. L = [A1, A2, A3, A4, A5, A6, A7, A8, A9, A10, A11, A12], L ins 0..1, element(1, L, 1),   % 2. Exactly 3 of the last 6 statements are true. A2 #<==> A7 + A8 + A9 + A10 + A11 + A12 #= 3,   % 3. Exactly 2 of the even-numbered stateme...
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...
#Nim
Nim
import sequtils, strutils, sugar   # List of possible variables names. const VarChars = {'A'..'E', 'G'..'S', 'U'..'Z'}   type   Expression = object names: seq[char] # List of variables names. values: seq[bool] # Associated values. formula: string # Formula as a string.     proc initExpression(str...
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,   ...
#Pascal
Pascal
  Program Ulam; Uses crt; {Concocted by R.N.McLean (whom God preserve), ex Victoria university, NZ.} {$B- evaluate boolean expressions only so far as necessary.} {$R+ range checking...}   FUNCTION Trim(S : string) : string; var L1,L2 : integer; BEGIN L1 := 1; WHILE (L1 <= LENGTH(S)) AND (S[L1] = ' ') DO INC(L1)...
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...
#Fortran
Fortran
module primes_mod implicit none   logical, allocatable :: primes(:)   contains   subroutine Genprimes(parr) logical, intent(in out) :: parr(:) integer :: i ! Prime sieve parr = .true. parr (1) = .false. parr (4 : size(parr) : 2) = .false. do i = 3, int (sqrt (real (size(parr)))), 2 if (parr(i)) parr...
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 / ...
#Agda
Agda
open import Data.List using (List; _∷_; []; concat) open import Data.Nat using (ℕ; suc; zero) open import Level using (Level) open import Relation.Binary.PropositionalEquality using (_≡_; refl)   data Tree {a} (A : Set a) : Set a where leaf : Tree A node : A → Tree A → Tree A → Tree A   variable a : Level A : S...
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#PicoLisp
PicoLisp
PicoLisp sets the value of the variable (symbol) '@' to the result of conditional and controlling expressions in flow- and logic-functions (cond, if, and, when, while, etc.).   Within a function or method '@' behaves like a local variable, i.e. its value is automatically saved upon function entry and restored at exit. ...
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#PowerShell
PowerShell
  65..67 | ForEach-Object {$_ * 2} # Multiply the numbers by 2 65..67 | ForEach-Object {[char]$_ } # ASCII values of the numbers  
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Python
Python
>>> 3 3 >>> _*_, _**0.5 (9, 1.7320508075688772) >>>
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Racket
Racket
  #lang racket   (module topic1 racket  ;; define $ as a "parameter", but make it look like a plain identifier (provide $ (rename-out [$if if] [$#%app #%app])) (define current-value (make-parameter #f)) (define-syntax $ (syntax-id-rules (set!) [(_ x ...) ((current-value) x ...)] [(set! _ val) (cu...
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Raku
Raku
$_ = 'Outside'; for <3 5 7 10> { print $_; .³.map: { say join "\t", '', $_, .², .sqrt, .log(2), OUTER::<$_>, UNIT::<$_> } }
http://rosettacode.org/wiki/Towers_of_Hanoi
Towers of Hanoi
Task Solve the   Towers of Hanoi   problem with recursion.
#8th
8th
  5 var, disks var sa var sb var sc   : save sc ! sb ! sa ! disks ! ; : get sa @ sb @ sc @ ; : get2 get swap ; : hanoi save disks @ not if ;; then disks @ get disks @ n:1- get2 hanoi save cr " move a ring from " . sa @ . " to " . sb @ . disks @ n:1- get2 rot hanoi ;   " Tower of Hanoi, with " . disks @ . " ring...
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...
#8080_Assembly
8080 Assembly
org 100h jmp demo ;;; Routine to split a 0-terminated string ;;; Input: B=separator, C=escape, HL=string pointer. ;;; Output: DE=end of list of strings ;;; The split strings are stored in place. split: mov d,h ; Set DE = output pointer mov e,l snext: mov a,m ; Get current input character inx h ; Advance input p...
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...
#Action.21
Action!
DEFINE PTR="CARD"   TYPE Tokens=[ PTR buf  ;BYTE ARRAY PTR arr  ;CARD ARRAY PTR endPtr BYTE count]   PROC Init(Tokens POINTER t BYTE ARRAY b PTR ARRAY a) t.buf=b t.arr=a t.endPtr=b t.count=0 RETURN   PROC AddToken(Tokens POINTER t CHAR ARRAY s) PTR ARRAY a CHAR ARRAY tmp   a=t.arr tmp=t.endPtr...
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...
#EchoLisp
EchoLisp
  (lib 'math) (define (make-circle x0 y0 r) (vector x0 y0 r ))   (define-syntax-id _.radius (_ 2)) (define-syntax-id _.x0 (_ 0)) (define-syntax-id _.y0 (_ 1))   ;; to sort circles (define (cmp-circles a b) (> a.radius b.radius))   (define (included? circle: a circles) (for/or ((b circles)) #:conti...
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 ...
#11l
11l
V data = [ ‘des_system_lib’ = Set(‘std synopsys std_cell_lib des_system_lib dw02 dw01 ramlib ieee’.split(‘ ’)), ‘dw01’ = Set(‘ieee dw01 dware gtech’.split(‘ ’)), ‘dw02’ = Set(‘ieee dw02 dware’.split(‘ ’)), ‘dw03’ = Set(‘std synopsys dware dw03 dw02 dw01 ieee gtech’.split(‘ ’)),...
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 ...
#D.C3.A9j.C3.A0_Vu
Déjà Vu
transitions(: local :t {} while /= ) dup: set-to t swap & rot & rot rot & t drop   take-from tape: if tape: pop-from tape else: :B   paste-together a h b: push-to b h while a: push-to b pop-from a b   universal-turing-machine transitions initial final tape: local :tape-left [] local :state initial   ...
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...
#C
C
  /*Abhishek Ghosh, 7th December 2018*/   #include<stdio.h>   int totient(int n){ int tot = n,i;   for(i=2;i*i<=n;i+=2){ if(n%i==0){ while(n%i==0) n/=i; tot-=tot/i; }   if(i==2) i=1; }   if(n>1) tot-=tot/n;   return tot; }   int main() { int count = 0,n,tot;   printf(" n  %c prime",237);...
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  ...
#Haskell
Haskell
import Data.List (permutations)   topswops :: Int -> Int topswops n = maximum $ map tops $ permutations [1 .. n] where tops (1:_) = 0 tops xa@(x:_) = 1 + tops reordered where reordered = reverse (take x xa) ++ drop x xa   main = mapM_ (putStrLn . ((++) <$> show <*> (":\t" ++) . show . topswops...
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...
#BASIC
BASIC
pi = 3.141592653589793# radians = pi / 4 'a.k.a. 45 degrees degrees = 45 * pi / 180 'convert 45 degrees to radians once PRINT SIN(radians) + " " + SIN(degrees) 'sine PRINT COS(radians) + " " + COS(degrees) 'cosine PRINT TAN(radians) + " " + TAN (degrees) 'tangent 'arcsin thesin = SIN(radians) arcsin = ATN(thesin / SQR(...
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...
#Ela
Ela
open monad io number string   :::IO   take_numbers 0 xs = do return $ iter xs where f x = sqrt (toSingle x) + 5.0 * (x ** 3.0) p x = x < 400.0 iter [] = return () iter (x::xs) | p res = do putStrLn (format "f({0}) = {1}" x res) iter xs | else ...
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...
#Elena
Elena
import extensions; import extensions'math;   public program() { real[] inputs := new real[](11); console.printLine("Please enter 11 numbers :"); for(int i := 0, i < 11, i += 1) { inputs[i] := console.readLine().toReal() };   console.printLine("Evaluating f(x) = |x|^0.5 + 5x^3 for the giv...
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...
#Python
Python
  from itertools import product #from pprint import pprint as pp   constraintinfo = ( (lambda st: len(st) == 12 ,(1, 'This is a numbered list of twelve statements')), (lambda st: sum(st[-6:]) == 3 ,(2, 'Exactly 3 of the last 6 statements are true')), (lambda st: sum(st[1::2]) == 2 ...
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...
#PARI.2FGP
PARI/GP
vars(P)={ my(v=List(),x); while(type(P)=="t_POL", x=variable(P); listput(v,x); P=subst(P,x,1) ); Vec(v) }; truthTable(P)={ my(var=vars(P),t,b); for(i=0,2^#var-1, t=eval(P); for(j=1,#var, b=bittest(i,j-1); t=subst(t,var[j],b); ...
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,   ...
#Perl
Perl
use ntheory qw/is_prime/; use Imager;   my $n = shift || 512; my $start = shift || 1; my $file = "ulam.png";   sub cell { my($n, $x, $y, $start) = @_; $y -= $n>>1; $x -= ($n-1)>>1; my $l = 2*(abs($x) > abs($y) ? abs($x) : abs($y)); my $d = ($y > $x) ? $l*3 + $x + $y : $l-$x-$y; ($l-1)**2 + $d + $start - ...
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...
#FreeBASIC
FreeBASIC
' FB 1.05.0 Win64   Function isPrime(n As Integer) As Boolean If n Mod 2 = 0 Then Return n = 2 If n Mod 3 = 0 Then Return n = 3 Dim d As Integer = 5 While d * d <= n If n Mod d = 0 Then Return False d += 2 If n Mod d = 0 Then Return False d += 4 Wend Return True End Function   Dim As UIntege...
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 / ...
#ALGOL_68
ALGOL 68
MODE VALUE = INT; PROC value repr = (VALUE value)STRING: whole(value, 0);   MODE NODES = STRUCT ( VALUE value, REF NODES left, right); MODE NODE = REF NODES;   PROC tree = (VALUE value, NODE left, right)NODE: HEAP NODES := (value, left, right);   PROC preorder = (NODE node, PROC (VALUE)VOID action)VOID: IF node ISN...
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#REXX
REXX
/*REXX program shows something close to a "topic variable" (for functions/subroutines).*/ parse arg N /*obtain a variable from the cmd line. */ call squareIt N /*invoke a function to square da number*/ say result ' ◄───' ...
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Ring
Ring
  see "sum1 = " + sum1(1,2) + nl see "sum2 = " + sum2(2,3) + nl   func sum1 (x, y) sum = x + y return sum   func sum2 (x, y) return x + y  
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Ruby
Ruby
while DATA.gets # assigns to $_ (local scope) print # If no arguments are given, prints $_ end __END__ This is line one This is line two This is line three
http://rosettacode.org/wiki/Topic_variable
Topic variable
Several programming languages offer syntax shortcuts to deal with the notion of "current" or "topic" variable. A topic variable is a special variable with a very short name which can also often be omitted. Demonstrate the utilization and behaviour of the topic variable within the language and explain or demonstrate h...
#Scala
Scala
object TopicVar extends App { class SuperString(val org: String){ def it(): Unit = println(org) }   new SuperString("FvdB"){it()} new SuperString("FvdB"){println(org)}   Seq(1).foreach {println} Seq(2).foreach {println(_)} Seq(4).foreach { it => println(it)} Seq(8).foreach { it => println(it + it)} ...