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http://rosettacode.org/wiki/Power_set
Power set
A   set   is a collection (container) of certain values, without any particular order, and no repeated values. It corresponds with a finite set in mathematics. A set can be implemented as an associative array (partial mapping) in which the value of each key-value pair is ignored. Given a set S, the power set (or pow...
#AutoHotkey
AutoHotkey
a = 1,a,-- ; elements separated by commas StringSplit a, a, `, ; a0 = #elements, a1,a2,... = elements of the set   t = { Loop % (1<<a0) { ; generate all 0-1 sequences x := A_Index-1 Loop % a0 t .= (x>>A_Index-1) & 1 ? a%A_Index% "," : "" t .= "}`n{" ; new subsets in new lines ...
http://rosettacode.org/wiki/Primality_by_trial_division
Primality by trial division
Task Write a boolean function that tells whether a given integer is prime. Remember that   1   and all non-positive numbers are not prime. Use trial division. Even numbers greater than   2   may be eliminated right away. A loop from   3   to   √ n    will suffice,   but other loops are allowed. Related tasks ...
#AppleScript
AppleScript
on isPrime(n) if (n < 3) then return (n is 2) if (n mod 2 is 0) then return false repeat with i from 3 to (n ^ 0.5) div 1 by 2 if (n mod i is 0) then return false end repeat   return true end isPrime   -- Test code: set output to {} repeat with n from -7 to 100 if (isPrime(n)) then set e...
http://rosettacode.org/wiki/Price_fraction
Price fraction
A friend of mine runs a pharmacy.   He has a specialized function in his Dispensary application which receives a decimal value of currency and replaces it to a standard value.   This value is regulated by a government department. Task Given a floating point value between   0.00   and   1.00,   rescale according to ...
#C.23
C#
namespace ConsoleApplication1 { class Program { static void Main(string[] args) { for (int x = 0; x < 10; x++) { Console.WriteLine("In: {0:0.00}, Out: {1:0.00}", ((double)x) / 10, SpecialRound(((double)x) / 10)); }   Console.WriteLi...
http://rosettacode.org/wiki/Proper_divisors
Proper divisors
The   proper divisors   of a positive integer N are those numbers, other than N itself, that divide N without remainder. For N > 1 they will always include 1,   but for N == 1 there are no proper divisors. Examples The proper divisors of     6     are   1, 2, and 3. The proper divisors of   100   are   1, 2, 4, 5...
#Factor
Factor
USING: formatting io kernel math math.functions math.primes.factors math.ranges prettyprint sequences ;   : #divisors ( m -- n ) dup sqrt >integer 1 + [1,b] [ divisor? ] with count dup + 1 - ;   10 [1,b] [ dup pprint bl divisors but-last . ] each 20000 [1,b] [ #divisors ] supremum-by dup #divisors "%d with %d d...
http://rosettacode.org/wiki/Probabilistic_choice
Probabilistic choice
Given a mapping between items and their required probability of occurrence, generate a million items randomly subject to the given probabilities and compare the target probability of occurrence versus the generated values. The total of all the probabilities should equal one. (Because floating point arithmetic is invol...
#J
J
  main=: verb define hdr=. ' target actual ' lbls=. ; ,:&.> ;:'aleph beth gimel daleth he waw zayin heth' prtn=. +/\ pt=. (, 1-+/)1r1%5+i.7 da=. prtn I. ?y # 0 pa=. y%~ +/ da =/ i.8 hdr, lbls,. 9j6 ": |: pt,:pa )   Note 'named abbreviations' hdr (header) lbls (labels) pt (tar...
http://rosettacode.org/wiki/Priority_queue
Priority queue
A priority queue is somewhat similar to a queue, with an important distinction: each item is added to a priority queue with a priority level, and will be later removed from the queue with the highest priority element first. That is, the items are (conceptually) stored in the queue in priority order instead of in insert...
#Go
Go
package main   import ( "fmt" "container/heap" )   type Task struct { priority int name string }   type TaskPQ []Task   func (self TaskPQ) Len() int { return len(self) } func (self TaskPQ) Less(i, j int) bool { return self[i].priority < self[j].priority } func (self TaskPQ) Swap(i, j int) { self...
http://rosettacode.org/wiki/Problem_of_Apollonius
Problem of Apollonius
Task Implement a solution to the Problem of Apollonius   (description on Wikipedia)   which is the problem of finding the circle that is tangent to three specified circles   (colored black in the diagram below to the right). There is an   algebraic solution   which is pretty straightforward. The solutions to the ...
#Python
Python
  from collections import namedtuple import math   Circle = namedtuple('Circle', 'x, y, r')   def solveApollonius(c1, c2, c3, s1, s2, s3): ''' >>> solveApollonius((0, 0, 1), (4, 0, 1), (2, 4, 2), 1,1,1) Circle(x=2.0, y=2.1, r=3.9) >>> solveApollonius((0, 0, 1), (4, 0, 1), (2, 4, 2), -1,-1,-1) Circle...
http://rosettacode.org/wiki/Program_name
Program name
The task is to programmatically obtain the name used to invoke the program. (For example determine whether the user ran "python hello.py", or "python hellocaller.py", a program importing the code from "hello.py".) Sometimes a multiline shebang is necessary in order to provide the script name to a language's internal A...
#Scala
Scala
object ScriptName extends App { println(s"Program of instantiated object: ${this.getClass.getName}") // Not recommended, due various implementations println(s"Program via enviroment: ${System.getProperty("sun.java.command")}") }
http://rosettacode.org/wiki/Program_name
Program name
The task is to programmatically obtain the name used to invoke the program. (For example determine whether the user ran "python hello.py", or "python hellocaller.py", a program importing the code from "hello.py".) Sometimes a multiline shebang is necessary in order to provide the script name to a language's internal A...
#Scheme
Scheme
#!/bin/sh #| exec csi -ss $0 ${1+"$@"} exit |#   (use posix) (require-extension srfi-1) ; lists (require-extension srfi-13) ; strings   (define (main args) (let ((prog (cdr (program)))) (display (format "Program: ~a\n" prog)) (exit)))   (define (program) (if (string=? (car (argv)) "csi") (let ((s-index (list-in...
http://rosettacode.org/wiki/Pythagorean_triples
Pythagorean triples
A Pythagorean triple is defined as three positive integers ( a , b , c ) {\displaystyle (a,b,c)} where a < b < c {\displaystyle a<b<c} , and a 2 + b 2 = c 2 . {\displaystyle a^{2}+b^{2}=c^{2}.} They are called primitive triples if a , b , c {\displaystyle a,b,c} are co-prime,...
#Racket
Racket
#lang racket   #| Euclid's enumeration formula and counting is fast enough for extra credit.   For maximum perimeter P₀, the primitive triples are enumerated by n,m with:   1 ≤ n < m perimeter P(n, m) ≤ P₀ where P(n, m) = (m² - n²) + 2mn + (m² + n²) = 2m(m+n) m and n of different parity and coprime.   Since ...
http://rosettacode.org/wiki/Program_termination
Program termination
Task Show the syntax for a complete stoppage of a program inside a   conditional. This includes all threads/processes which are part of your program. Explain the cleanup (or lack thereof) caused by the termination (allocated memory, database connections, open files, object finalizers/destructors, run-on-exit hooks...
#PowerShell
PowerShell
if (somecondition) { exit }
http://rosettacode.org/wiki/Program_termination
Program termination
Task Show the syntax for a complete stoppage of a program inside a   conditional. This includes all threads/processes which are part of your program. Explain the cleanup (or lack thereof) caused by the termination (allocated memory, database connections, open files, object finalizers/destructors, run-on-exit hooks...
#Prolog
Prolog
halt.
http://rosettacode.org/wiki/Primality_by_Wilson%27s_theorem
Primality by Wilson's theorem
Task Write a boolean function that tells whether a given integer is prime using Wilson's theorem. By Wilson's theorem, a number p is prime if and only if p divides (p - 1)! + 1. Remember that 1 and all non-positive integers are not prime. See also Cut-the-knot: Wilson's theorem. Wikipedia: Wilson's theorem
#Nim
Nim
import strutils, sugar   proc facmod(n, m: int): int = ## Compute (n - 1)! mod m. result = 1 for k in 2..n: result = (result * k) mod m   func isPrime(n: int): bool = (facmod(n - 1, n) + 1) mod n == 0   let primes = collect(newSeq): for n in 2..100: if n.isPrime: n   echo "Prim...
http://rosettacode.org/wiki/Primality_by_Wilson%27s_theorem
Primality by Wilson's theorem
Task Write a boolean function that tells whether a given integer is prime using Wilson's theorem. By Wilson's theorem, a number p is prime if and only if p divides (p - 1)! + 1. Remember that 1 and all non-positive integers are not prime. See also Cut-the-knot: Wilson's theorem. Wikipedia: Wilson's theorem
#PARI.2FGP
PARI/GP
Wilson(n) = prod(i=1,n-1,Mod(i,n))==-1  
http://rosettacode.org/wiki/Prime_conspiracy
Prime conspiracy
A recent discovery, quoted from   Quantamagazine   (March 13, 2016): Two mathematicians have uncovered a simple, previously unnoticed property of prime numbers — those numbers that are divisible only by 1 and themselves. Prime numbers, it seems, have decided preferences about the final digits of ...
#Prolog
Prolog
  % table of nth prime values (up to 100,000)   nthprime( 10, 29). nthprime( 100, 541). nthprime( 1000, 7919). nthprime( 10000, 104729). nthprime(100000, 1299709).   conspiracy(M) :- N is 10**M, nthprime(N, P), sieve(P, Ps), tally(Ps, Counts), sort(Counts, Sorted), show(Sorted).   show(Re...
http://rosettacode.org/wiki/Prime_decomposition
Prime decomposition
The prime decomposition of a number is defined as a list of prime numbers which when all multiplied together, are equal to that number. Example 12 = 2 × 2 × 3, so its prime decomposition is {2, 2, 3} Task Write a function which returns an array or collection which contains the prime decomposition of a given ...
#C
C
#include <inttypes.h> #include <stdio.h> #include <stdlib.h> #include <string.h> #include <assert.h>   typedef uint32_t pint; typedef uint64_t xint; typedef unsigned int uint; #define PRIuPINT PRIu32 /* printf macro for pint */ #define PRIuXINT PRIu64 /* printf macro for xint */ #define MAX_FACTORS 63 /* b...
http://rosettacode.org/wiki/Pointers_and_references
Pointers and references
Basic Data Operation This is a basic data operation. It represents a fundamental action on a basic data type. You may see other such operations in the Basic Data Operations category, or: Integer Operations Arithmetic | Comparison Boolean Operations Bitwise | Logical String Operations Concatenation | Interpolation |...
#ALGOL_68
ALGOL 68
INT var := 3; REF INT pointer := var;
http://rosettacode.org/wiki/Pointers_and_references
Pointers and references
Basic Data Operation This is a basic data operation. It represents a fundamental action on a basic data type. You may see other such operations in the Basic Data Operations category, or: Integer Operations Arithmetic | Comparison Boolean Operations Bitwise | Logical String Operations Concatenation | Interpolation |...
#ARM_Assembly
ARM Assembly
;this example uses VASM syntax, your assembler may not use the # before constants or the semicolon for comments MOV R1,#0x04000000 MOV R0,#0x403 STR R0,[R1] ;store 0x403 into memory address 0x04000000.
http://rosettacode.org/wiki/Polymorphism
Polymorphism
Task Create two classes   Point(x,y)   and   Circle(x,y,r)   with a polymorphic function print, accessors for (x,y,r), copy constructor, assignment and destructor and every possible default constructors
#Ada
Ada
package Shapes is type Point is tagged private; procedure Print(Item : in Point); function Setx(Item : in Point; Val : Integer) return Point; function Sety(Item : in Point; Val : Integer) return Point; function Getx(Item : in Point) return Integer; function Gety(Item : in Point) return Integer; fun...
http://rosettacode.org/wiki/Polymorphism
Polymorphism
Task Create two classes   Point(x,y)   and   Circle(x,y,r)   with a polymorphic function print, accessors for (x,y,r), copy constructor, assignment and destructor and every possible default constructors
#Aikido
Aikido
  class Point (protected x=0.0, protected y=0.0) { public function print { println ("Point") }   public function getX { return x } public function getY { return y }   public function setX(nx) { x = nx } public function setY(ny) { y = ny } }   class Circle (x=0.0, y=0.0, r=0.0) extends Po...
http://rosettacode.org/wiki/Poker_hand_analyser
Poker hand analyser
Task Create a program to parse a single five card poker hand and rank it according to this list of poker hands. A poker hand is specified as a space separated list of five playing cards. Each input card has two characters indicating face and suit. Example 2d       (two of diamonds). Faces are:    a, 2, 3, 4,...
#11l
11l
F analyzeHandHelper(faceCount, suitCount) V p1 = 0B p2 = 0B t = 0B f = 0B fl = 0B st = 0B   L(fc) faceCount S fc 2 {I p1 {p2 = 1B} E p1 = 1B} 3 {t = 1B} 4 {f = 1B}   L(sc) suitCount I sc == 5 fl = 1B   I !p1 & !p2 & !t & !...
http://rosettacode.org/wiki/Population_count
Population count
Population count You are encouraged to solve this task according to the task description, using any language you may know. The   population count   is the number of   1s   (ones)   in the binary representation of a non-negative integer. Population count   is also known as:   pop count   popcount   sideways sum ...
#ALGOL_68
ALGOL 68
# returns the population count (number of bits on) of the non-negative # # integer n # PROC population count = ( LONG INT n )INT: BEGIN LONG INT number := n; INT result := 0; WHILE number > 0 DO IF ODD n...
http://rosettacode.org/wiki/Polynomial_long_division
Polynomial long division
This page uses content from Wikipedia. The original article was at Polynomial long division. 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 algebra, polynomial long division is an algorithm for d...
#C.23
C#
using System;   namespace PolynomialLongDivision { class Solution { public Solution(double[] q, double[] r) { Quotient = q; Remainder = r; }   public double[] Quotient { get; } public double[] Remainder { get; } }   class Program { static int P...
http://rosettacode.org/wiki/Polymorphic_copy
Polymorphic copy
An object is polymorphic when its specific type may vary. The types a specific value may take, is called class. It is trivial to copy an object if its type is known: int x; int y = x; Here x is not polymorphic, so y is declared of same type (int) as x. But if the specific type of x were unknown, then y could not be d...
#Common_Lisp
Common Lisp
(defstruct super foo)   (defstruct (sub (:include super)) bar)   (defgeneric frob (thing))   (defmethod frob ((super super)) (format t "~&Super has foo = ~w." (super-foo super)))   (defmethod frob ((sub sub)) (format t "~&Sub has foo = ~w, bar = ~w." (sub-foo sub) (sub-bar sub)))
http://rosettacode.org/wiki/Polymorphic_copy
Polymorphic copy
An object is polymorphic when its specific type may vary. The types a specific value may take, is called class. It is trivial to copy an object if its type is known: int x; int y = x; Here x is not polymorphic, so y is declared of same type (int) as x. But if the specific type of x were unknown, then y could not be d...
#D
D
class T { override string toString() { return "I'm the instance of T"; } T duplicate() { return new T; } }   class S : T { override string toString() { return "I'm the instance of S"; }   override T duplicate() { return new S; } }   void main () { import std.stdio; T orig = new S; T copy = o...
http://rosettacode.org/wiki/Polyspiral
Polyspiral
A Polyspiral is a spiral made of multiple line segments, whereby each segment is larger (or smaller) than the previous one by a given amount. Each segment also changes direction at a given angle. Task Animate a series of polyspirals, by drawing a complete spiral then incrementing the angle, and (after clearing the b...
#JavaScript
JavaScript
  <!-- Polyspiral.html --> <html> <head><title>Polyspiral Generator</title></head> <script> // Basic function for family of Polyspirals // Where: rng - range (prime parameter), w2 - half of canvas width, // d - direction (1 - clockwise, -1 - counter clockwise). function ppsp(ctx, rng, w2, d) { // Note: coeffic...
http://rosettacode.org/wiki/Polyspiral
Polyspiral
A Polyspiral is a spiral made of multiple line segments, whereby each segment is larger (or smaller) than the previous one by a given amount. Each segment also changes direction at a given angle. Task Animate a series of polyspirals, by drawing a complete spiral then incrementing the angle, and (after clearing the b...
#Julia
Julia
using Gtk, Graphics, Colors   const can = @GtkCanvas() const win = GtkWindow(can, "Polyspiral", 360, 360)   const drawiters = 72 const colorseq = [colorant"blue", colorant"red", colorant"green", colorant"black", colorant"gold"] const angleiters = [0, 0, 0] const angles = [75, 100, 135, 160]   Base.length(v::Vec2) = sqr...
http://rosettacode.org/wiki/Polynomial_regression
Polynomial regression
Find an approximating polynomial of known degree for a given data. Example: For input data: x = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}; y = {1, 6, 17, 34, 57, 86, 121, 162, 209, 262, 321}; The approximating polynomial is: 3 x2 + 2 x + 1 Here, the polynomial's coefficients are (3, 2, 1). This task is i...
#C.23
C#
public static double[] Polyfit(double[] x, double[] y, int degree) { // Vandermonde matrix var v = new DenseMatrix(x.Length, degree + 1); for (int i = 0; i < v.RowCount; i++) for (int j = 0; j <= degree; j++) v[i, j] = Math.Pow(x[i], j); va...
http://rosettacode.org/wiki/Power_set
Power set
A   set   is a collection (container) of certain values, without any particular order, and no repeated values. It corresponds with a finite set in mathematics. A set can be implemented as an associative array (partial mapping) in which the value of each key-value pair is ignored. Given a set S, the power set (or pow...
#AWK
AWK
cat power_set.awk #!/usr/local/bin/gawk -f   # User defined function function tochar(l,n, r) { while (l) { n--; if (l%2 != 0) r = r sprintf(" %c ",49+n); l = int(l/2) }; return r }   # For each input { for (i=0;i<=2^NF-1;i++) if (i == 0) printf("empty\n"); else printf("(%s)\n",tochar(i,NF)) }  
http://rosettacode.org/wiki/Primality_by_trial_division
Primality by trial division
Task Write a boolean function that tells whether a given integer is prime. Remember that   1   and all non-positive numbers are not prime. Use trial division. Even numbers greater than   2   may be eliminated right away. A loop from   3   to   √ n    will suffice,   but other loops are allowed. Related tasks ...
#Arturo
Arturo
isPrime?: function [n][ if n=2 -> return true if n=3 -> return true if or? n=<1 0=n%2 -> return false   high: to :integer sqrt n loop high..2 .step: 3 'i [ if 0=n%i -> return false ]   return true ]   loop 1..20 'i [ print ["isPrime?" i "=" isPrime? i ] ]
http://rosettacode.org/wiki/Price_fraction
Price fraction
A friend of mine runs a pharmacy.   He has a specialized function in his Dispensary application which receives a decimal value of currency and replaces it to a standard value.   This value is regulated by a government department. Task Given a floating point value between   0.00   and   1.00,   rescale according to ...
#C.2B.2B
C++
#include <iostream> #include <cmath>   int main( ) { double froms[ ] = { 0.00 , 0.06 , 0.11 , 0.16 , 0.21 , 0.26 , 0.31 , 0.36 , 0.41 , 0.46 , 0.51 , 0.56 , 0.61 , 0.66 , 0.71 , 0.76 , 0.81 , 0.86 , 0.91 , 0.96 } ; double tos[ ] = { 0.06 , 0.11 , 0.16 , 0.21 , 0.26 , 0.31 , 0.36 , 0.41 , 0.46...
http://rosettacode.org/wiki/Proper_divisors
Proper divisors
The   proper divisors   of a positive integer N are those numbers, other than N itself, that divide N without remainder. For N > 1 they will always include 1,   but for N == 1 there are no proper divisors. Examples The proper divisors of     6     are   1, 2, and 3. The proper divisors of   100   are   1, 2, 4, 5...
#Fermat
Fermat
Func Divisors(n) = [d]:=[(1)]; {start divisor list with just 1, which is a divisor of everything} for i = 2 to n\2 do {loop through possible divisors of n} if Divides(i, n) then [d]:=[d]_[(i)] fi od; .;   fo...
http://rosettacode.org/wiki/Probabilistic_choice
Probabilistic choice
Given a mapping between items and their required probability of occurrence, generate a million items randomly subject to the given probabilities and compare the target probability of occurrence versus the generated values. The total of all the probabilities should equal one. (Because floating point arithmetic is invol...
#Java
Java
public class Prob{ static long TRIALS= 1000000;   private static class Expv{ public String name; public int probcount; public double expect; public double mapping;   public Expv(String name, int probcount, double expect, double mapping){ this.name= name; this.probcount= probcount; this.expect= expe...
http://rosettacode.org/wiki/Priority_queue
Priority queue
A priority queue is somewhat similar to a queue, with an important distinction: each item is added to a priority queue with a priority level, and will be later removed from the queue with the highest priority element first. That is, the items are (conceptually) stored in the queue in priority order instead of in insert...
#Groovy
Groovy
import groovy.transform.Canonical   @Canonical class Task implements Comparable<Task> { int priority String name int compareTo(Task o) { priority <=> o?.priority } }   new PriorityQueue<Task>().with { add new Task(priority: 3, name: 'Clear drains') add new Task(priority: 4, name: 'Feed cat') add...
http://rosettacode.org/wiki/Problem_of_Apollonius
Problem of Apollonius
Task Implement a solution to the Problem of Apollonius   (description on Wikipedia)   which is the problem of finding the circle that is tangent to three specified circles   (colored black in the diagram below to the right). There is an   algebraic solution   which is pretty straightforward. The solutions to the ...
#Racket
Racket
  #lang slideshow   (struct circle (x y r) #:prefab)   (define (apollonius c1 c2 c3 s1 s2 s3) (define x1 (circle-x c1)) (define y1 (circle-y c1)) (define r1 (circle-r c1)) (define x2 (circle-x c2)) (define y2 (circle-y c2)) (define r2 (circle-r c2)) (define x3 (circle-x c3)) (define y3 (circle-y c3)) ...
http://rosettacode.org/wiki/Problem_of_Apollonius
Problem of Apollonius
Task Implement a solution to the Problem of Apollonius   (description on Wikipedia)   which is the problem of finding the circle that is tangent to three specified circles   (colored black in the diagram below to the right). There is an   algebraic solution   which is pretty straightforward. The solutions to the ...
#Raku
Raku
class Circle { has $.x; has $.y; has $.r; method gist { sprintf "%s =%7.3f " xx 3, (:$!x,:$!y,:$!r)».kv } }   sub circle($x,$y,$r) { Circle.new: :$x, :$y, :$r }   sub solve-Apollonius([\c1, \c2, \c3], [\s1, \s2, \s3]) { my \𝑣11 = 2 * c2.x - 2 * c1.x; my \𝑣12 = 2 * c2.y - 2 * c1.y; my \𝑣13 = c...
http://rosettacode.org/wiki/Program_name
Program name
The task is to programmatically obtain the name used to invoke the program. (For example determine whether the user ran "python hello.py", or "python hellocaller.py", a program importing the code from "hello.py".) Sometimes a multiline shebang is necessary in order to provide the script name to a language's internal A...
#Seed7
Seed7
$ include "seed7_05.s7i";   const proc: main is func local var integer: i is 0; begin writeln("Program path: " <& path(PROGRAM)); writeln("Program directory: " <& dir(PROGRAM)); writeln("Program file: " <& file(PROGRAM)); end func;
http://rosettacode.org/wiki/Program_name
Program name
The task is to programmatically obtain the name used to invoke the program. (For example determine whether the user ran "python hello.py", or "python hellocaller.py", a program importing the code from "hello.py".) Sometimes a multiline shebang is necessary in order to provide the script name to a language's internal A...
#Sidef
Sidef
say __MAIN__; if (__MAIN__ != __FILE__) { say "This file has been included!"; }
http://rosettacode.org/wiki/Pythagorean_triples
Pythagorean triples
A Pythagorean triple is defined as three positive integers ( a , b , c ) {\displaystyle (a,b,c)} where a < b < c {\displaystyle a<b<c} , and a 2 + b 2 = c 2 . {\displaystyle a^{2}+b^{2}=c^{2}.} They are called primitive triples if a , b , c {\displaystyle a,b,c} are co-prime,...
#Raku
Raku
constant limit = 100;   for [X] [^limit] xx 3 -> (\a, \b, \c) { say [a, b, c] if a < b < c and a**2 + b**2 == c**2 }
http://rosettacode.org/wiki/Program_termination
Program termination
Task Show the syntax for a complete stoppage of a program inside a   conditional. This includes all threads/processes which are part of your program. Explain the cleanup (or lack thereof) caused by the termination (allocated memory, database connections, open files, object finalizers/destructors, run-on-exit hooks...
#PureBasic
PureBasic
If problem = 1 End EndIf
http://rosettacode.org/wiki/Program_termination
Program termination
Task Show the syntax for a complete stoppage of a program inside a   conditional. This includes all threads/processes which are part of your program. Explain the cleanup (or lack thereof) caused by the termination (allocated memory, database connections, open files, object finalizers/destructors, run-on-exit hooks...
#Python
Python
import sys if problem: sys.exit(1)
http://rosettacode.org/wiki/Primality_by_Wilson%27s_theorem
Primality by Wilson's theorem
Task Write a boolean function that tells whether a given integer is prime using Wilson's theorem. By Wilson's theorem, a number p is prime if and only if p divides (p - 1)! + 1. Remember that 1 and all non-positive integers are not prime. See also Cut-the-knot: Wilson's theorem. Wikipedia: Wilson's theorem
#Pascal
Pascal
  program PrimesByWilson; uses SysUtils;   (* Function to return whether 32-bit unsigned n is prime. Applies Wilson's theorem with full calculation of (n - 1)! modulo n. *) function WilsonFullCalc( n : longword) : boolean; var f, m : longword; begin if n < 2 then begin result := false; exit; end; f := 1...
http://rosettacode.org/wiki/Prime_conspiracy
Prime conspiracy
A recent discovery, quoted from   Quantamagazine   (March 13, 2016): Two mathematicians have uncovered a simple, previously unnoticed property of prime numbers — those numbers that are divisible only by 1 and themselves. Prime numbers, it seems, have decided preferences about the final digits of ...
#Python
Python
def isPrime(n): if n < 2: return False if n % 2 == 0: return n == 2 if n % 3 == 0: return n == 3   d = 5 while d * d <= n: if n % d == 0: return False d += 2   if n % d == 0: return False d += 4 return True   def gen...
http://rosettacode.org/wiki/Prime_decomposition
Prime decomposition
The prime decomposition of a number is defined as a list of prime numbers which when all multiplied together, are equal to that number. Example 12 = 2 × 2 × 3, so its prime decomposition is {2, 2, 3} Task Write a function which returns an array or collection which contains the prime decomposition of a given ...
#C.23
C#
using System; using System.Collections.Generic;   namespace PrimeDecomposition { class Program { static void Main(string[] args) { GetPrimes(12); }   static List<int> GetPrimes(decimal n) { List<int> storage = new List<int>(); while (n ...
http://rosettacode.org/wiki/Pointers_and_references
Pointers and references
Basic Data Operation This is a basic data operation. It represents a fundamental action on a basic data type. You may see other such operations in the Basic Data Operations category, or: Integer Operations Arithmetic | Comparison Boolean Operations Bitwise | Logical String Operations Concatenation | Interpolation |...
#AutoHotkey
AutoHotkey
VarSetCapacity(var, 100) ; allocate memory NumPut(87, var, 0, "Char") ; store 87 at offset 0 MsgBox % NumGet(var, 0, "Char") ; get character at offset 0 (87) MsgBox % &var ; address of contents pointed to by var structure MsgBox % *&var ; integer at address of var contents (87)
http://rosettacode.org/wiki/Pointers_and_references
Pointers and references
Basic Data Operation This is a basic data operation. It represents a fundamental action on a basic data type. You may see other such operations in the Basic Data Operations category, or: Integer Operations Arithmetic | Comparison Boolean Operations Bitwise | Logical String Operations Concatenation | Interpolation |...
#BBC_BASIC
BBC BASIC
REM Pointer to integer variable: pointer_to_varA = ^varA%  !pointer_to_varA = 123456 PRINT !pointer_to_varA   REM Pointer to variant variable: pointer_to_varB = ^varB |pointer_to_varB = PI PRINT |pointer_to_varB   REM Pointer to procedure: PROCmyproc : REM conv...
http://rosettacode.org/wiki/Plot_coordinate_pairs
Plot coordinate pairs
Task Plot a function represented as    x,  y    numerical arrays. Post the resulting image for the following input arrays (taken from Python's Example section on Time a function): x = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}; y = {2.7, 2.8, 31.4, 38.1, 58.0, 76.2, 100.5, 130.0, 149....
#AArch64_Assembly
AArch64 Assembly
  /* ARM assembly AARCH64 Raspberry PI 3B */ /* program areaPlot64.s */   /*******************************************/ /* Constantes file */ /*******************************************/ /* for this file see task include a file in language AArch64 assembly*/ .include "../includeConstantesARM...
http://rosettacode.org/wiki/Polymorphism
Polymorphism
Task Create two classes   Point(x,y)   and   Circle(x,y,r)   with a polymorphic function print, accessors for (x,y,r), copy constructor, assignment and destructor and every possible default constructors
#ALGOL_68
ALGOL 68
# Algol 68 provides for polymorphic operators but not procedures #   # define the CIRCLE and POINT modes # MODE POINT = STRUCT( REAL x, y ); MODE CIRCLE = STRUCT( REAL x, y, r );     # PRINT operator # O...
http://rosettacode.org/wiki/Poker_hand_analyser
Poker hand analyser
Task Create a program to parse a single five card poker hand and rank it according to this list of poker hands. A poker hand is specified as a space separated list of five playing cards. Each input card has two characters indicating face and suit. Example 2d       (two of diamonds). Faces are:    a, 2, 3, 4,...
#AutoHotkey
AutoHotkey
PokerHand(hand){ StringUpper, hand, hand Sort, hand, FCardSort D%A_Space% cardSeq := RegExReplace(hand, "[^2-9TJQKA]") Straight:= InStr("23456789TJQKA", cardSeq) || (cardSeq = "2345A") ? true : false hand := cardSeq = "2345A" ? RegExReplace(hand, "(.*)\h(A.)", "$2 $1") : hand Royal := InStr(hand, "A") ? "Royal...
http://rosettacode.org/wiki/Population_count
Population count
Population count You are encouraged to solve this task according to the task description, using any language you may know. The   population count   is the number of   1s   (ones)   in the binary representation of a non-negative integer. Population count   is also known as:   pop count   popcount   sideways sum ...
#ALGOL_W
ALGOL W
begin  % returns the population count (number of bits on) of the non-negative integer n % integer procedure populationCount( integer value n ) ; begin integer v, count; v  := n; count := 0; while v > 0 do begin if ...
http://rosettacode.org/wiki/Polynomial_long_division
Polynomial long division
This page uses content from Wikipedia. The original article was at Polynomial long division. 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 algebra, polynomial long division is an algorithm for d...
#C.2B.2B
C++
  #include <iostream> #include <iterator> #include <vector>   using namespace std; typedef vector<double> Poly;   // does: prints all members of vector // input: c - ASCII char with the name of the vector // A - reference to polynomial (vector) void Print(char name, const Poly &A) { cout << name << "(" << A.si...
http://rosettacode.org/wiki/Polymorphic_copy
Polymorphic copy
An object is polymorphic when its specific type may vary. The types a specific value may take, is called class. It is trivial to copy an object if its type is known: int x; int y = x; Here x is not polymorphic, so y is declared of same type (int) as x. But if the specific type of x were unknown, then y could not be d...
#Delphi
Delphi
program PolymorphicCopy;   type T = class function Name:String; virtual; function Clone:T; virtual; end;   S = class(T) function Name:String; override; function Clone:T; override; end;   function T.Name :String; begin Exit('T') end; function T.Clone:T; begin Exit(T.Create)end;   functio...
http://rosettacode.org/wiki/Polyspiral
Polyspiral
A Polyspiral is a spiral made of multiple line segments, whereby each segment is larger (or smaller) than the previous one by a given amount. Each segment also changes direction at a given angle. Task Animate a series of polyspirals, by drawing a complete spiral then incrementing the angle, and (after clearing the b...
#Kotlin
Kotlin
// version 1.1.0   import java.awt.* import java.awt.event.ActionEvent import javax.swing.*   class PolySpiral() : JPanel() { private var inc = 0.0   init { preferredSize = Dimension(640, 640) background = Color.white Timer(40) { inc = (inc + 0.05) % 360.0 repaint...
http://rosettacode.org/wiki/Polynomial_regression
Polynomial regression
Find an approximating polynomial of known degree for a given data. Example: For input data: x = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}; y = {1, 6, 17, 34, 57, 86, 121, 162, 209, 262, 321}; The approximating polynomial is: 3 x2 + 2 x + 1 Here, the polynomial's coefficients are (3, 2, 1). This task is i...
#C.2B.2B
C++
#include <algorithm> #include <iostream> #include <numeric> #include <vector>   void polyRegression(const std::vector<int>& x, const std::vector<int>& y) { int n = x.size(); std::vector<int> r(n); std::iota(r.begin(), r.end(), 0); double xm = std::accumulate(x.begin(), x.end(), 0.0) / x.size(); doub...
http://rosettacode.org/wiki/Power_set
Power set
A   set   is a collection (container) of certain values, without any particular order, and no repeated values. It corresponds with a finite set in mathematics. A set can be implemented as an associative array (partial mapping) in which the value of each key-value pair is ignored. Given a set S, the power set (or pow...
#BBC_BASIC
BBC BASIC
DIM list$(3) : list$() = "1", "2", "3", "4" PRINT FNpowerset(list$()) END   DEF FNpowerset(list$()) IF DIM(list$(),1) > 31 ERROR 100, "Set too large to represent as integer" LOCAL i%, j%, s$ s$ = "{" FOR i% = 0 TO (2 << DIM(list$(),1)) - 1 s$ += "{" FOR j%...
http://rosettacode.org/wiki/Primality_by_trial_division
Primality by trial division
Task Write a boolean function that tells whether a given integer is prime. Remember that   1   and all non-positive numbers are not prime. Use trial division. Even numbers greater than   2   may be eliminated right away. A loop from   3   to   √ n    will suffice,   but other loops are allowed. Related tasks ...
#AutoHotkey
AutoHotkey
MsgBox % IsPrime(1995937) Loop MsgBox % A_Index-3 . " is " . (IsPrime(A_Index-3) ? "" : "not ") . "prime."   IsPrime(n,k=2) { ; testing primality with trial divisors not multiple of 2,3,5, up to sqrt(n) d := k+(k<7 ? 1+(k>2) : SubStr("6-----4---2-4---2-4---6-----2",Mod(k,30),1)) Return n < 3 ? n>1 : Mod(n...
http://rosettacode.org/wiki/Price_fraction
Price fraction
A friend of mine runs a pharmacy.   He has a specialized function in his Dispensary application which receives a decimal value of currency and replaces it to a standard value.   This value is regulated by a government department. Task Given a floating point value between   0.00   and   1.00,   rescale according to ...
#Clipper
Clipper
FUNCTION PriceFraction( npQuantDispensed ) LOCAL aPriceFraction := { {0,.06,.1},; {.06,.11,.18}, ; {.11,.16,.26}, ; {.16,.21,.32}, ; {.21,.26,.38}, ; {.26,.31,.44}, ; ...
http://rosettacode.org/wiki/Price_fraction
Price fraction
A friend of mine runs a pharmacy.   He has a specialized function in his Dispensary application which receives a decimal value of currency and replaces it to a standard value.   This value is regulated by a government department. Task Given a floating point value between   0.00   and   1.00,   rescale according to ...
#Clojure
Clojure
(def values [10 18 26 32 38 44 50 54 58 62 66 70 74 78 82 86 90 94 98 100])   (defn price [v] (format "%.2f" (double (/ (values (int (/ (- (* v 100) 1) 5))) 100))))
http://rosettacode.org/wiki/Proper_divisors
Proper divisors
The   proper divisors   of a positive integer N are those numbers, other than N itself, that divide N without remainder. For N > 1 they will always include 1,   but for N == 1 there are no proper divisors. Examples The proper divisors of     6     are   1, 2, and 3. The proper divisors of   100   are   1, 2, 4, 5...
#Forth
Forth
: .proper-divisors dup 1 ?do dup i mod 0= if i . then loop cr drop ;   : proper-divisors-count 0 swap dup 1 ?do dup i mod 0= if swap 1 + swap then loop drop ;   : rosetta-proper-divisors cr 11 1 do i . ." : " i .proper-divisors loop   1 0 20000 2 do i proper-divisors-count 2dup <...
http://rosettacode.org/wiki/Probabilistic_choice
Probabilistic choice
Given a mapping between items and their required probability of occurrence, generate a million items randomly subject to the given probabilities and compare the target probability of occurrence versus the generated values. The total of all the probabilities should equal one. (Because floating point arithmetic is invol...
#JavaScript
JavaScript
var probabilities = { aleph: 1/5.0, beth: 1/6.0, gimel: 1/7.0, daleth: 1/8.0, he: 1/9.0, waw: 1/10.0, zayin: 1/11.0, heth: 1759/27720 };   var sum = 0; var iterations = 1000000; var cumulative = {}; var randomly = {}; for (var name in probabilities) { sum += probabiliti...
http://rosettacode.org/wiki/Priority_queue
Priority queue
A priority queue is somewhat similar to a queue, with an important distinction: each item is added to a priority queue with a priority level, and will be later removed from the queue with the highest priority element first. That is, the items are (conceptually) stored in the queue in priority order instead of in insert...
#Haskell
Haskell
import Data.PQueue.Prio.Min   main = print (toList (fromList [(3, "Clear drains"),(4, "Feed cat"),(5, "Make tea"),(1, "Solve RC tasks"), (2, "Tax return")]))
http://rosettacode.org/wiki/Problem_of_Apollonius
Problem of Apollonius
Task Implement a solution to the Problem of Apollonius   (description on Wikipedia)   which is the problem of finding the circle that is tangent to three specified circles   (colored black in the diagram below to the right). There is an   algebraic solution   which is pretty straightforward. The solutions to the ...
#REXX
REXX
/*REXX program solves the problem of Apollonius, named after the Greek Apollonius of */ /*────────────────────────────────────── Perga [Pergæus] (circa 262 BCE ──► 190 BCE). */ numeric digits 15; x1= 0; y1= 0; r1= 1 x2= 4; y2= 0; r2= 1 ...
http://rosettacode.org/wiki/Program_name
Program name
The task is to programmatically obtain the name used to invoke the program. (For example determine whether the user ran "python hello.py", or "python hellocaller.py", a program importing the code from "hello.py".) Sometimes a multiline shebang is necessary in order to provide the script name to a language's internal A...
#Smalltalk
Smalltalk
"exec" "gst" "-f" "$0" "$0" "$@" "exit"   | program |   program := Smalltalk getArgv: 1.   Transcript show: 'Program: ', program; cr.
http://rosettacode.org/wiki/Program_name
Program name
The task is to programmatically obtain the name used to invoke the program. (For example determine whether the user ran "python hello.py", or "python hellocaller.py", a program importing the code from "hello.py".) Sometimes a multiline shebang is necessary in order to provide the script name to a language's internal A...
#Standard_ML
Standard ML
#!/usr/bin/env sml   let val program = CommandLine.name () in print ("Program: " ^ program ^ "\n") end;
http://rosettacode.org/wiki/Pythagorean_triples
Pythagorean triples
A Pythagorean triple is defined as three positive integers ( a , b , c ) {\displaystyle (a,b,c)} where a < b < c {\displaystyle a<b<c} , and a 2 + b 2 = c 2 . {\displaystyle a^{2}+b^{2}=c^{2}.} They are called primitive triples if a , b , c {\displaystyle a,b,c} are co-prime,...
#REXX
REXX
/*REXX program counts the number of Pythagorean triples that exist given a maximum */ /*──────────────────── perimeter of N, and also counts how many of them are primitives.*/ parse arg N . /*obtain optional argument from the CL.*/ if N=='' | N=="," then N= 100 ...
http://rosettacode.org/wiki/Program_termination
Program termination
Task Show the syntax for a complete stoppage of a program inside a   conditional. This includes all threads/processes which are part of your program. Explain the cleanup (or lack thereof) caused by the termination (allocated memory, database connections, open files, object finalizers/destructors, run-on-exit hooks...
#QB64
QB64
INPUT "Press any key...", a$ IF 1 THEN SYSTEM
http://rosettacode.org/wiki/Program_termination
Program termination
Task Show the syntax for a complete stoppage of a program inside a   conditional. This includes all threads/processes which are part of your program. Explain the cleanup (or lack thereof) caused by the termination (allocated memory, database connections, open files, object finalizers/destructors, run-on-exit hooks...
#R
R
if(problem) q(status=10)
http://rosettacode.org/wiki/Program_termination
Program termination
Task Show the syntax for a complete stoppage of a program inside a   conditional. This includes all threads/processes which are part of your program. Explain the cleanup (or lack thereof) caused by the termination (allocated memory, database connections, open files, object finalizers/destructors, run-on-exit hooks...
#Racket
Racket
  #lang racket (run-stuff) (when (something-bad-happened) (exit 1))  
http://rosettacode.org/wiki/Primality_by_Wilson%27s_theorem
Primality by Wilson's theorem
Task Write a boolean function that tells whether a given integer is prime using Wilson's theorem. By Wilson's theorem, a number p is prime if and only if p divides (p - 1)! + 1. Remember that 1 and all non-positive integers are not prime. See also Cut-the-knot: Wilson's theorem. Wikipedia: Wilson's theorem
#Perl
Perl
use strict; use warnings; use feature 'say'; use ntheory qw(factorial);   my($ends_in_7, $ends_in_3);   sub is_wilson_prime { my($n) = @_; $n > 1 or return 0; (factorial($n-1) % $n) == ($n-1) ? 1 : 0; }   for (0..50) { my $m = 3 + 10 * $_; $ends_in_3 .= "$m " if is_wilson_prime($m); my $n = 7 + ...
http://rosettacode.org/wiki/Primality_by_Wilson%27s_theorem
Primality by Wilson's theorem
Task Write a boolean function that tells whether a given integer is prime using Wilson's theorem. By Wilson's theorem, a number p is prime if and only if p divides (p - 1)! + 1. Remember that 1 and all non-positive integers are not prime. See also Cut-the-knot: Wilson's theorem. Wikipedia: Wilson's theorem
#Phix
Phix
function wilson(integer n) integer facmod = 1 for i=2 to n-1 do facmod = remainder(facmod*i,n) end for return facmod+1=n end function atom t0 = time() sequence primes = {} integer p = 2 while length(primes)<1015 do if wilson(p) then primes &= p end if p += 1 end while prin...
http://rosettacode.org/wiki/Prime_conspiracy
Prime conspiracy
A recent discovery, quoted from   Quantamagazine   (March 13, 2016): Two mathematicians have uncovered a simple, previously unnoticed property of prime numbers — those numbers that are divisible only by 1 and themselves. Prime numbers, it seems, have decided preferences about the final digits of ...
#R
R
  suppressMessages(library(gmp))   limit <- 1e6 result <- vector('numeric', 99) prev_prime <- 2 count <- 0   getOutput <- function(transition) { if (result[transition] == 0) return() second <- transition %% 10 first <- (transition - second) / 10 cat(first,"->",second,"count:", sprintf("%6d",result[transitio...
http://rosettacode.org/wiki/Prime_decomposition
Prime decomposition
The prime decomposition of a number is defined as a list of prime numbers which when all multiplied together, are equal to that number. Example 12 = 2 × 2 × 3, so its prime decomposition is {2, 2, 3} Task Write a function which returns an array or collection which contains the prime decomposition of a given ...
#C.2B.2B
C++
#include <iostream> #include <gmpxx.h>   // This function template works for any type representing integers or // nonnegative integers, and has the standard operator overloads for // arithmetic and comparison operators, as well as explicit conversion // from int. // // OutputIterator must be an output iterator with val...
http://rosettacode.org/wiki/Pointers_and_references
Pointers and references
Basic Data Operation This is a basic data operation. It represents a fundamental action on a basic data type. You may see other such operations in the Basic Data Operations category, or: Integer Operations Arithmetic | Comparison Boolean Operations Bitwise | Logical String Operations Concatenation | Interpolation |...
#C_and_C.2B.2B
C and C++
int var = 3; int *pointer = &var;
http://rosettacode.org/wiki/Pointers_and_references
Pointers and references
Basic Data Operation This is a basic data operation. It represents a fundamental action on a basic data type. You may see other such operations in the Basic Data Operations category, or: Integer Operations Arithmetic | Comparison Boolean Operations Bitwise | Logical String Operations Concatenation | Interpolation |...
#C.23
C#
  static void Main(string[] args) { int p;   p = 1; Console.WriteLine("Ref Before: " + p); Value(ref p); Console.WriteLine("Ref After : " + p);   p = 1; Console.WriteLine("Val Before: " + p); Value(p); Console.WriteLine("Val After : " + p);   Console.ReadLine(); }   private static void Value(ref int Value) { ...
http://rosettacode.org/wiki/Plot_coordinate_pairs
Plot coordinate pairs
Task Plot a function represented as    x,  y    numerical arrays. Post the resulting image for the following input arrays (taken from Python's Example section on Time a function): x = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}; y = {2.7, 2.8, 31.4, 38.1, 58.0, 76.2, 100.5, 130.0, 149....
#Action.21
Action!
INCLUDE "D2:REAL.ACT" ;from the Action! Tool Kit   DEFINE PTR="CARD" DEFINE BUF_SIZE="100" DEFINE REAL_SIZE="3"   TYPE Settings=[ INT xMin,xMax,xStep,yMin,yMax,yStep INT xLeft,xRight,yTop,yBottom INT tickLength]   BYTE ARRAY xs(BUF_SIZE),ys(BUF_SIZE) BYTE count=[0]   PTR FUNC GetXPtr(BYTE i) RETURN (xs+3*i)   PTR...
http://rosettacode.org/wiki/Plot_coordinate_pairs
Plot coordinate pairs
Task Plot a function represented as    x,  y    numerical arrays. Post the resulting image for the following input arrays (taken from Python's Example section on Time a function): x = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}; y = {2.7, 2.8, 31.4, 38.1, 58.0, 76.2, 100.5, 130.0, 149....
#Ada
Ada
  with Gtk.Main; with Gtk.Window; use Gtk.Window; with Gtk.Widget; use Gtk.Widget; with Gtk.Handlers; use Gtk.Handlers; with Glib; use Glib; with Gtk.Extra.Plot; use Gtk.Extra.Plot; with Gtk.Extra.Plot_Data; use Gtk.Extra.Plot_Data; with Gtk.Extra.Plot_Canvas; use Gtk.Extra.Plot_Canvas; with Gtk.Extra.Plot_Canva...
http://rosettacode.org/wiki/Polymorphism
Polymorphism
Task Create two classes   Point(x,y)   and   Circle(x,y,r)   with a polymorphic function print, accessors for (x,y,r), copy constructor, assignment and destructor and every possible default constructors
#Arturo
Arturo
define :point [x,y][ init: [ ensure -> is? :floating this\x ensure -> is? :floating this\y ]   print: [ render "point (x: |this\x|, y: |this\y|)" ] ]   define :circle [center,radius][ init: [ ensure -> is? :point this\center ensure -> is? :floating this\radius...
http://rosettacode.org/wiki/Polymorphism
Polymorphism
Task Create two classes   Point(x,y)   and   Circle(x,y,r)   with a polymorphic function print, accessors for (x,y,r), copy constructor, assignment and destructor and every possible default constructors
#AutoHotkey
AutoHotkey
MyPoint := new Point(1, 8) MyPoint.Print() MyCircle := new Circle(4, 7, 9) MyCircle2 := MyCircle.Copy() MyCircle.SetX(2) ;Assignment method MyCircle.y := 3 ;Direct assignment MyCircle.Print() MyCircle2.Print() MyCircle.SetX(100), MyCircle.SetY(1000), MyCircle.r := 10000 MsgBox, % MyCircle.__Class . "`n`nx:`t" MyCirc...
http://rosettacode.org/wiki/Poker_hand_analyser
Poker hand analyser
Task Create a program to parse a single five card poker hand and rank it according to this list of poker hands. A poker hand is specified as a space separated list of five playing cards. Each input card has two characters indicating face and suit. Example 2d       (two of diamonds). Faces are:    a, 2, 3, 4,...
#C
C
#include <stdio.h> #include <ctype.h> #include <string.h> #include <stdlib.h>   #define TRUE 1 #define FALSE 0   #define FACES "23456789tjqka" #define SUITS "shdc"   typedef int bool;   typedef struct { int face; /* FACES map to 0..12 respectively */ char suit; } card;   card cards[5];   int compare_card(const...
http://rosettacode.org/wiki/Population_count
Population count
Population count You are encouraged to solve this task according to the task description, using any language you may know. The   population count   is the number of   1s   (ones)   in the binary representation of a non-negative integer. Population count   is also known as:   pop count   popcount   sideways sum ...
#APL
APL
  APL (DYALOG APL) popDemo←{⎕IO←0 N←⍵ ⍝ popCount: Does a popCount of integers (8-32 bits) or floats (64-bits) that can be represented as integers popCount←{ i2bits←{∊+/2⊥⍣¯1⊣⍵} ⍝ Use ⊥⍣¯1 (inverted decode) for ⊤ (encode) to automatically detect nubits needed +/i2bits ⍵ ⍝ Coun...
http://rosettacode.org/wiki/Polynomial_long_division
Polynomial long division
This page uses content from Wikipedia. The original article was at Polynomial long division. 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 algebra, polynomial long division is an algorithm for d...
#Clojure
Clojure
(defn grevlex [term1 term2] (let [grade1 (reduce +' term1) grade2 (reduce +' term2) comp (- grade2 grade1)] ;; total degree (if (not= 0 comp) comp (loop [term1 term1 term2 term2] (if (empty? term1) 0 (let [grade1 (last term1) gra...
http://rosettacode.org/wiki/Polymorphic_copy
Polymorphic copy
An object is polymorphic when its specific type may vary. The types a specific value may take, is called class. It is trivial to copy an object if its type is known: int x; int y = x; Here x is not polymorphic, so y is declared of same type (int) as x. But if the specific type of x were unknown, then y could not be d...
#E
E
def deSubgraphKit := <elib:serial.deSubgraphKit>   def copy(object) { return deSubgraphKit.recognize(object, deSubgraphKit.makeBuilder()) }
http://rosettacode.org/wiki/Polymorphic_copy
Polymorphic copy
An object is polymorphic when its specific type may vary. The types a specific value may take, is called class. It is trivial to copy an object if its type is known: int x; int y = x; Here x is not polymorphic, so y is declared of same type (int) as x. But if the specific type of x were unknown, then y could not be d...
#EchoLisp
EchoLisp
  (lib 'types) (lib 'struct)   (struct T (integer:x)) ;; super class (struct S T (integer:y)) ;; sub class (struct K (T:box)) ;; container class, box must be of type T, or derived   (define k-source (K (S 33 42))) (define k-copy (copy k-source))   k-source → #<K> (#<S> (33 42)) ;; new container, with a S in box k-...
http://rosettacode.org/wiki/Polyspiral
Polyspiral
A Polyspiral is a spiral made of multiple line segments, whereby each segment is larger (or smaller) than the previous one by a given amount. Each segment also changes direction at a given angle. Task Animate a series of polyspirals, by drawing a complete spiral then incrementing the angle, and (after clearing the b...
#Lua
Lua
function love.load () love.window.setTitle("Polyspiral") incr = 0 end   function love.update (dt) incr = (incr + 0.05) % 360 x1 = love.graphics.getWidth() / 2 y1 = love.graphics.getHeight() / 2 length = 5 angle = incr end   function love.draw () for i = 1, 150 do x2 = x1 + math.c...
http://rosettacode.org/wiki/Polyspiral
Polyspiral
A Polyspiral is a spiral made of multiple line segments, whereby each segment is larger (or smaller) than the previous one by a given amount. Each segment also changes direction at a given angle. Task Animate a series of polyspirals, by drawing a complete spiral then incrementing the angle, and (after clearing the b...
#Mathematica.2FWolfram_Language
Mathematica/Wolfram Language
linedata = {}; Dynamic[Graphics[Line[linedata], PlotRange -> 1000]] Do[ linedata = AnglePath[{#, \[Theta]} & /@ Range[5, 300, 3]]; Pause[0.1]; , {\[Theta], Subdivide[0.1, 1, 100]} ]
http://rosettacode.org/wiki/Polynomial_regression
Polynomial regression
Find an approximating polynomial of known degree for a given data. Example: For input data: x = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}; y = {1, 6, 17, 34, 57, 86, 121, 162, 209, 262, 321}; The approximating polynomial is: 3 x2 + 2 x + 1 Here, the polynomial's coefficients are (3, 2, 1). This task is i...
#Common_Lisp
Common Lisp
;; Least square fit of a polynomial of order n the x-y-curve. (defun polyfit (x y n) (let* ((m (cadr (array-dimensions x))) (A (make-array `(,m ,(+ n 1)) :initial-element 0))) (loop for i from 0 to (- m 1) do (loop for j from 0 to n do (setf (aref A i j) (e...
http://rosettacode.org/wiki/Power_set
Power set
A   set   is a collection (container) of certain values, without any particular order, and no repeated values. It corresponds with a finite set in mathematics. A set can be implemented as an associative array (partial mapping) in which the value of each key-value pair is ignored. Given a set S, the power set (or pow...
#BQN
BQN
P ← (⥊·↕2⥊˜≠)/¨<
http://rosettacode.org/wiki/Primality_by_trial_division
Primality by trial division
Task Write a boolean function that tells whether a given integer is prime. Remember that   1   and all non-positive numbers are not prime. Use trial division. Even numbers greater than   2   may be eliminated right away. A loop from   3   to   √ n    will suffice,   but other loops are allowed. Related tasks ...
#AutoIt
AutoIt
#cs ----------------------------------------------------------------------------   AutoIt Version: 3.3.8.1 Author: Alexander Alvonellos     Script Function: Perform primality test on a given integer $number. RETURNS: TRUE/FALSE   #ce -------------------------------------------------------------------------...
http://rosettacode.org/wiki/Price_fraction
Price fraction
A friend of mine runs a pharmacy.   He has a specialized function in his Dispensary application which receives a decimal value of currency and replaces it to a standard value.   This value is regulated by a government department. Task Given a floating point value between   0.00   and   1.00,   rescale according to ...
#Common_Lisp
Common Lisp
(defun scale (value) (cond ((minusp value) (error "invalid value: ~A" value)) ((< value 0.06) 0.10) ((< value 0.11) 0.18) ((< value 0.16) 0.26) ((< value 0.21) 0.32) ((< value 0.26) 0.38) ((< value 0.31) 0.44) ((< value 0.36) 0.50) ((< value 0.41) 0.54) ...
http://rosettacode.org/wiki/Proper_divisors
Proper divisors
The   proper divisors   of a positive integer N are those numbers, other than N itself, that divide N without remainder. For N > 1 they will always include 1,   but for N == 1 there are no proper divisors. Examples The proper divisors of     6     are   1, 2, and 3. The proper divisors of   100   are   1, 2, 4, 5...
#Fortran
Fortran
    function icntprop(num ) icnt=0 do i=1 , num-1 if (mod(num , i) .eq. 0) then icnt = icnt + 1 if (num .lt. 11) print *,' ',i end if end do icntprop = icnt end function   limit = 20000 maxcnt = 0 print *,'N divis...
http://rosettacode.org/wiki/Probabilistic_choice
Probabilistic choice
Given a mapping between items and their required probability of occurrence, generate a million items randomly subject to the given probabilities and compare the target probability of occurrence versus the generated values. The total of all the probabilities should equal one. (Because floating point arithmetic is invol...
#Julia
Julia
using Printf   p = [1/i for i in 5:11] plen = length(p) q = [0.0, [sum(p[1:i]) for i = 1:plen]] plab = [char(i) for i in 0x05d0:(0x05d0+plen)] hi = 10^6 push!(p, 1.0 - sum(p)) plen += 1   accum = zeros(Int, plen)   for i in 1:hi accum[sum(rand() .>= q)] += 1 end   r = accum/hi   println("Rates at which items are se...
http://rosettacode.org/wiki/Probabilistic_choice
Probabilistic choice
Given a mapping between items and their required probability of occurrence, generate a million items randomly subject to the given probabilities and compare the target probability of occurrence versus the generated values. The total of all the probabilities should equal one. (Because floating point arithmetic is invol...
#Kotlin
Kotlin
// version 1.0.6   fun main(args: Array<String>) { val letters = arrayOf("aleph", "beth", "gimel", "daleth", "he", "waw", "zayin", "heth") val actual = IntArray(8) val probs = doubleArrayOf(1/5.0, 1/6.0, 1/7.0, 1/8.0, 1/9.0, 1/10.0, 1/11.0, 0.0) val cumProbs = DoubleArray(8)   cumProbs[0] = pr...
http://rosettacode.org/wiki/Priority_queue
Priority queue
A priority queue is somewhat similar to a queue, with an important distinction: each item is added to a priority queue with a priority level, and will be later removed from the queue with the highest priority element first. That is, the items are (conceptually) stored in the queue in priority order instead of in insert...
#Icon_and_Unicon
Icon and Unicon
import Utils # For Closure class import Collections # For Heap (dense priority queue) class   procedure main() pq := Heap(, Closure("[]",Arg,1) ) pq.add([3, "Clear drains"]) pq.add([4, "Feed cat"]) pq.add([5, "Make tea"]) pq.add([1, "Solve RC tasks"]) pq.add([2, "Tax return"])   while task :...
http://rosettacode.org/wiki/Problem_of_Apollonius
Problem of Apollonius
Task Implement a solution to the Problem of Apollonius   (description on Wikipedia)   which is the problem of finding the circle that is tangent to three specified circles   (colored black in the diagram below to the right). There is an   algebraic solution   which is pretty straightforward. The solutions to the ...
#Ruby
Ruby
class Circle def initialize(x, y, r) @x, @y, @r = [x, y, r].map(&:to_f) end attr_reader :x, :y, :r   def self.apollonius(c1, c2, c3, s1=1, s2=1, s3=1) x1, y1, r1 = c1.x, c1.y, c1.r x2, y2, r2 = c2.x, c2.y, c2.r x3, y3, r3 = c3.x, c3.y, c3.r   v11 = 2*x2 - 2*x1 v12 = 2*y2 - 2*y1 v13 =...
http://rosettacode.org/wiki/Program_name
Program name
The task is to programmatically obtain the name used to invoke the program. (For example determine whether the user ran "python hello.py", or "python hellocaller.py", a program importing the code from "hello.py".) Sometimes a multiline shebang is necessary in order to provide the script name to a language's internal A...
#Tcl
Tcl
#!/usr/bin/env tclsh   proc main {args} { set program $::argv0 puts "Program: $program" }   if {$::argv0 eq [info script]} { main {*}$::argv }
http://rosettacode.org/wiki/Program_name
Program name
The task is to programmatically obtain the name used to invoke the program. (For example determine whether the user ran "python hello.py", or "python hellocaller.py", a program importing the code from "hello.py".) Sometimes a multiline shebang is necessary in order to provide the script name to a language's internal A...
#TXR
TXR
#!/usr/local/bin/txr -B @(bind my-name @self-path)
http://rosettacode.org/wiki/Pythagorean_triples
Pythagorean triples
A Pythagorean triple is defined as three positive integers ( a , b , c ) {\displaystyle (a,b,c)} where a < b < c {\displaystyle a<b<c} , and a 2 + b 2 = c 2 . {\displaystyle a^{2}+b^{2}=c^{2}.} They are called primitive triples if a , b , c {\displaystyle a,b,c} are co-prime,...
#Ring
Ring
  size = 100 sum = 0 prime = 0 for i = 1 to size for j = i + 1 to size for k = 1 to size if pow(i,2) + pow(j,2) = pow(k,2) and (i+j+k) < 101 if gcd(i,j) = 1 prime += 1 ok sum += 1 see "" + i + " " + j + " " + k + nl ok next next next see "Total ...
http://rosettacode.org/wiki/Program_termination
Program termination
Task Show the syntax for a complete stoppage of a program inside a   conditional. This includes all threads/processes which are part of your program. Explain the cleanup (or lack thereof) caused by the termination (allocated memory, database connections, open files, object finalizers/destructors, run-on-exit hooks...
#Raku
Raku
if $problem { exit $error-code }
http://rosettacode.org/wiki/Program_termination
Program termination
Task Show the syntax for a complete stoppage of a program inside a   conditional. This includes all threads/processes which are part of your program. Explain the cleanup (or lack thereof) caused by the termination (allocated memory, database connections, open files, object finalizers/destructors, run-on-exit hooks...
#REBOL
REBOL
if error? try [6 / 0] [quit]
http://rosettacode.org/wiki/Primality_by_Wilson%27s_theorem
Primality by Wilson's theorem
Task Write a boolean function that tells whether a given integer is prime using Wilson's theorem. By Wilson's theorem, a number p is prime if and only if p divides (p - 1)! + 1. Remember that 1 and all non-positive integers are not prime. See also Cut-the-knot: Wilson's theorem. Wikipedia: Wilson's theorem
#Plain_English
Plain English
To run: Start up. Show some primes (via Wilson's theorem). Wait for the escape key. Shut down.   The maximum representable factorial is a number equal to 12. \32-bit signed   To show some primes (via Wilson's theorem): If a counter is past the maximum representable factorial, exit. If the counter is prime (via Wilson...