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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....
#PARI.2FGP
PARI/GP
plothraw(vx, vy)
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....
#Perl
Perl
use GD::Graph::points;   @data = ( [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [2.7, 2.8, 31.4, 38.1, 58.0, 76.2, 100.5, 130.0, 149.3, 180.0], );   $graph = GD::Graph::points->new(400, 300); open my $fh, '>', "qsort-range-10-9.png"; binmode $fh; print $fh $graph->plot(\@data)->png; close $fh;
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
#Objective-C
Objective-C
#import <Foundation/Foundation.h>   @interface RCPoint : NSObject { int x, y; } -(instancetype)initWithX:(int)x0; -(instancetype)initWithX:(int)x0 andY:(int)y0; -(instancetype)initWithPoint:(RCPoint *)p; @property (nonatomic) int x; @property (nonatomic) int y; @end   @implementation RCPoint @synthesize x, y; -(insta...
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,...
#Seed7
Seed7
$ include "seed7_05.s7i"; include "console.s7i";   const string: face is "A23456789TJQK"; const string: suit is "♥♦♣♠";   const func string: analyzeHand (in array integer: faceCnt, in array integer: suitCnt) is func result var string: handValue is ""; local var boolean: pair1 is FALSE; var boolean: pa...
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 ...
#Go
Go
package main   import ( "fmt" "math/bits" )   func main() { fmt.Println("Pop counts, powers of 3:") n := uint64(1) // 3^0 for i := 0; i < 30; i++ { fmt.Printf("%d ", bits.OnesCount64(n)) n *= 3 } fmt.Println() fmt.Println("Evil numbers:") var od [30]uint64 var ne,...
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...
#Sidef
Sidef
func poly_long_div(rn, rd) {   var n = rn.map{_} var gd = rd.len   if (n.len >= gd) { return(gather { while (n.len >= gd) { var piv = n[0]/rd[0] take(piv) { |i| n[i] -= (rd[i] * piv) } << ^(n.len `min` gd...
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...
#R
R
  x <- c(0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10) y <- c(1, 6, 17, 34, 57, 86, 121, 162, 209, 262, 321) coef(lm(y ~ x + I(x^2)))
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...
#jq
jq
def powerset: reduce .[] as $i ([[]]; reduce .[] as $r (.; . + [$r + [$i]]));
http://rosettacode.org/wiki/Primality_by_trial_division
Primality by trial division
Task Write a boolean function that tells whether a given integer is prime. Remember that   1   and all non-positive numbers are not prime. Use trial division. Even numbers greater than   2   may be eliminated right away. A loop from   3   to   √ n    will suffice,   but other loops are allowed. Related tasks ...
#Emacs_Lisp
Emacs Lisp
(defun prime (a) (not (or (< a 2) (cl-loop for x from 2 to (sqrt a) when (zerop (% a x)) return t))))
http://rosettacode.org/wiki/Price_fraction
Price fraction
A friend of mine runs a pharmacy.   He has a specialized function in his Dispensary application which receives a decimal value of currency and replaces it to a standard value.   This value is regulated by a government department. Task Given a floating point value between   0.00   and   1.00,   rescale according to ...
#Nim
Nim
import random, strformat   # Representation of a standard value as an int (actual value * 100). type StandardValue = distinct int   proc `<`(a, b: StandardValue): bool {.borrow.}   const Pricemap = [10, 18, 26, 32, 38, 44, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86, 90, 94, 98, 100]     proc toStandardValue(f: float): Stan...
http://rosettacode.org/wiki/Price_fraction
Price fraction
A friend of mine runs a pharmacy.   He has a specialized function in his Dispensary application which receives a decimal value of currency and replaces it to a standard value.   This value is regulated by a government department. Task Given a floating point value between   0.00   and   1.00,   rescale according to ...
#Objeck
Objeck
class PriceFraction { function : Main(args : String[]) ~ Nil { for(i := 0; i < 5; i++;) { f := Float->Random(); r := SpecialRound(f); "{$f} -> {$r}"->PrintLine(); }; }   function : SpecialRound(inValue : Float) ~ Float { if (inValue > 1) { return 1; };   splitters := [ ...
http://rosettacode.org/wiki/Proper_divisors
Proper divisors
The   proper divisors   of a positive integer N are those numbers, other than N itself, that divide N without remainder. For N > 1 they will always include 1,   but for N == 1 there are no proper divisors. Examples The proper divisors of     6     are   1, 2, and 3. The proper divisors of   100   are   1, 2, 4, 5...
#PowerShell
PowerShell
  function proper-divisor ($n) { if($n -ge 2) { $lim = [Math]::Floor([Math]::Sqrt($n)) $less, $greater = @(1), @() for($i = 2; $i -lt $lim; $i++){ if($n%$i -eq 0) { $less += @($i) $greater = @($n/$i) + $greater } } if(($...
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...
#Raku
Raku
class PriorityQueue { has @!tasks;   method insert (Int $priority where * >= 0, $task) { @!tasks[$priority].push: $task; }   method get { @!tasks.first(?*).shift }   method is-empty { ?none @!tasks } }   my $pq = PriorityQueue.new;   for ( 3, 'Clear drains', 4, 'Feed cat', 5, 'Ma...
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 ...
#Julia
Julia
  julia> Pkg.add("Primes") julia> factor(8796093022207) [9719=>1,431=>1,2099863=>1]  
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....
#Processing
Processing
  //Aamrun, 26th June 2022   int x[] = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}; float y[] = {2.7, 2.8, 31.4, 38.1, 58.0, 76.2, 100.5, 130.0, 149.3, 180.0};   size(300,300); surface.setTitle("Rosetta Plot");   stroke(#ff0000);   for(int i=0;i<x.length;i++){ ellipse(x[i],y[i],3,3); }    
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
#OCaml
OCaml
class point ?(x=0.0) ?(y=0.0) () = (* extra () used to erase the optional parameters *) object (self) val mutable x = x val mutable y = y   method x = x method y = y method set_x x' = x <- x' method set_y y' = y <- y' method print = Printf.sprintf "Point (%f, %f)" x y method copy = {< >} end   class ci...
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,...
#Standard_ML
Standard ML
  local val rec ins = fn x : int*'a => fn [] => [x] | ll as h::t => if #1 x<= (#1 h) then x::ll else h::ins x t val rec acount = fn (n,a::(b::t)) => if a=b then acount (n+1,b::t) else (n,a)::acount(1,b::t) | (n,[t]) => [(n,t)] in ...
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 ...
#Haskell
Haskell
import Data.Bits (popCount)   printPops :: (Show a, Integral a) => String -> [a] -> IO () printPops title counts = putStrLn $ title ++ show (take 30 counts)   main :: IO () main = do printPops "popcount " $ map popCount $ iterate (*3) (1 :: Integer) printPops "evil " $ filter (even . popCount) ([0..] :: [Intege...
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...
#Slate
Slate
define: #Polynomial &parents: {Comparable} &slots: {#coefficients -> ExtensibleArray new}.   p@(Polynomial traits) new &capacity: n [ p cloneSettingSlots: #(coefficients) to: {p coefficients new &capacity: n} ].   p@(Polynomial traits) newFrom: seq@(Sequence traits) [ p clone `>> [coefficients: (seq as: p coefficie...
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...
#Racket
Racket
  #lang racket (require math plot)   (define xs '(0 1 2 3 4 5 6 7 8 9 10)) (define ys '(1 6 17 34 57 86 121 162 209 262 321))   (define (fit x y n) (define Y (->col-matrix y)) (define V (vandermonde-matrix x (+ n 1))) (define VT (matrix-transpose V)) (matrix->vector (matrix-solve (matrix* VT V) (ma...
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...
#Julia
Julia
  function powerset{T}(x::Vector{T}) result = Vector{T}[[]] for elem in x, j in eachindex(result) push!(result, [result[j] ; elem]) end result end  
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 ...
#Erlang
Erlang
is_prime(N) when N == 2 -> true; is_prime(N) when N < 2 orelse N rem 2 == 0 -> false; is_prime(N) -> is_prime(N,3).   is_prime(N,K) when K*K > N -> true; is_prime(N,K) when N rem K == 0 -> false; is_prime(N,K) -> is_prime(N,K+2).
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 ...
#OCaml
OCaml
let price_fraction v = if v < 0.0 || v >= 1.01 then invalid_arg "price_fraction"; let rec aux = function | (x,r)::tl -> if v < x then r else aux tl | [] -> assert false in aux [ 0.06, 0.10; 0.11, 0.18; 0.16, 0.26; 0.21, 0.32; 0.26, 0.38; 0.31, 0.44; 0.36, 0.50; 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...
#Prolog
Prolog
divisor(N, Divisor) :- UpperBound is round(sqrt(N)), between(1, UpperBound, D), 0 is N mod D, ( Divisor = D ; LargerDivisor is N/D, LargerDivisor =\= D, Divisor = LargerDivisor ).   proper_divisor(N, D) :- divisor(N, D), D =\= N.     %% Task 1 %   proper_...
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...
#REXX
REXX
/*REXX program implements a priority queue with insert/display/delete the top task.*/ #=0; @.= /*0 tasks; nullify the priority queue.*/ say '══════ inserting tasks.'; call .ins 3 "Clear drains" call .ins 4 "Feed cat" ...
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 ...
#Kotlin
Kotlin
// version 1.0.6   import java.math.BigInteger   val bigTwo = BigInteger.valueOf(2L) val bigThree = BigInteger.valueOf(3L)   fun getPrimeFactors(n: BigInteger): MutableList<BigInteger> { val factors = mutableListOf<BigInteger>() if (n < bigTwo) return factors if (n.isProbablePrime(20)) { factors.a...
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....
#Phix
Phix
-- -- demo\rosetta\Plot_coordinate_pairs.exw -- ====================================== -- with javascript_semantics include pGUI.e include IupGraph.e constant 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, 149.3, 180.0} function get_data(Ihandle graph) return {{x,y,C...
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
#Oforth
Oforth
Object Class new: Point(x, y) Point method: initialize(x, y) x := x y := y ; Point method: _x @x ; Point method: _y @y ; Point method: << "(" << @x << ", " << @y << ")" << ;   Object Class new: Circle(x, y, r) Circle method: initialize(x, y, r) x := x y := y r := r ; Circle method: _x @x ; Circle method: _y @...
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
#ooRexx
ooRexx
  p = .point~new(3,2) c = .circle~new(,2,6)   p~print c~print   ::class point ::method init expose x y use strict arg x = 0, y = 0 -- defaults to 0 for any non-specified coordinates   ::attribute x ::attribute y   ::method print expose x y say "A point at location ("||x","y")"   ::class circle subclass point ...
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,...
#Tcl
Tcl
package require Tcl 8.6 namespace eval PokerHandAnalyser { proc analyse {hand} { set norm [Normalise $hand] foreach type { invalid straight-flush four-of-a-kind full-house flush straight three-of-a-kind two-pair one-pair } { if {[Detect-$type $norm]} { return $type } } # Always possible 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 ...
#Idris
Idris
module Main import Data.Vect   isOdd : (x : Int) -> Bool isOdd x = case mod x 2 of 0 => False 1 => True   popcnt : Int -> Int popcnt 0 = 0 popcnt x = case isOdd x of False => popcnt (shiftR x 1) True => 1 + popcnt (shiftR x 1)   isOdious : Int -> Bool isOdious k = isOdd (popcnt k)   isEvil :...
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...
#Smalltalk
Smalltalk
Object subclass: Polynomial [ |coeffs| Polynomial class >> new [ ^ super basicNew init ] init [ coeffs := OrderedCollection new. ^ self ] Polynomial class >> newWithCoefficients: coefficients [ |r| r := super basicNew. ^ r initWithCoefficients: coefficients ] initWithCoefficients: coefficients [...
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...
#Raku
Raku
use Clifford;   constant @x1 = <0 1 2 3 4 5 6 7 8 9 10>; constant @y = <1 6 17 34 57 86 121 162 209 262 321>;   constant $x0 = [+] @e[^@x1]; constant $x1 = [+] @x1 Z* @e; constant $x2 = [+] @x1 »**» 2 Z* @e;   constant $y = [+] @y Z* @e;   my $J = $x1 ∧ $x2; my $I = $x0 ∧ $J;   my $I2 = ($I·$I.reversion).Real;   .say...
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...
#K
K
  ps:{x@&:'+2_vs!_2^#x}  
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 ...
#ERRE
ERRE
PROGRAM PRIME_TRIAL   PROCEDURE ISPRIME(N%->OK%) LOCAL T% IF N%<=1 THEN OK%=FALSE EXIT PROCEDURE END IF IF N%<=3 THEN OK%=TRUE EXIT PROCEDURE END IF IF (N% AND 1)=0 THEN OK%=FALSE EXIT PROCEDURE END IF FOR T%=3 TO SQR(N%) STEP 2 DO IF N% MOD T%=0 THEN OK%=FALSE EXIT PROCEDURE END ...
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 ...
#Oforth
Oforth
[.06, .11, .16, .21, .26, .31, .36, .41, .46, .51, .56, .61, .66, .71, .76, .81, .86, .91, .96, 1.01] const: IN [.10, .18, .26, .32, .38, .44, .50, .54, .58, .62, .66, .70, .74, .78, .82, .86, .90, .94, .98, 1.00] const: OUT   : priceFraction(f) | i | IN size loop: i [ f IN at(i) < ifTrue: [ OUT at(i) return ] ] ...
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...
#PureBasic
PureBasic
  EnableExplicit   Procedure ListProperDivisors(Number, List Lst()) If Number < 2 : ProcedureReturn : EndIf Protected i For i = 1 To Number / 2 If Number % i = 0 AddElement(Lst()) Lst() = i EndIf Next EndProcedure   Procedure.i CountProperDivisors(Number) If Number < 2 : ProcedureReturn 0 ...
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...
#Ruby
Ruby
class PriorityQueueNaive def initialize(data=nil) @q = Hash.new {|h, k| h[k] = []} data.each {|priority, item| @q[priority] << item} if data @priorities = @q.keys.sort end   def push(priority, item) @q[priority] << item @priorities = @q.keys.sort end   def pop p = @priorities[0] i...
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 ...
#Lambdatalk
Lambdatalk
  {def prime_fact.smallest {def prime_fact.smallest.r {lambda {:q :r :i} {if {and {> :r 0} {< :i :q}} then {prime_fact.smallest.r :q {% :q {+ :i 1}} {+ :i 1}} else :i}}} {lambda {:q} {prime_fact.smallest.r :q {% :q 2} 2}}}   {def prime_fact {def prime_fact.r {lambda {:q :d} {if {> :q 1} then ...
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....
#PicoLisp
PicoLisp
(load "@lib/ps.l")   (scl 1)   (de plot (PsFile DX DY Lst) (let (SX (length Lst) SY (apply max Lst) N 0 Val) (out PsFile (psHead (+ DX 20) (+ DY 40)) (font (9 . "Helvetica")) (if (or (=0 SX) (=0 SY)) (window 60 12 DX DY (font 24 ,"Not enough Data") ) ...
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....
#PostScript
PostScript
  /x [0 1 2 3 4 5 6 7 8 9] def /y [2.7 2.8 31.4 38.1 58.0 76.2 100.5 130.0 149.3 180.0] def /i 1 def   newpath x 0 get y 0 get moveto x length 1 sub{ x i get y i get lineto /i i 1 add def }repeat stroke  
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
#OxygenBasic
OxygenBasic
  type tpoint float xx,yy type tcircle float xx,yy,rr   '========== class point '========== ' has tpoint ' method constructor (float x=0,y=0){this<=x,y} method destructor {} method V() as point {return @this} method V(tpoint*a) {this<=a.xx,a.yy} method V(point *a) {this<=a.xx,a.yy} method X() as float {return xx}...
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
#Oz
Oz
class Point feat x y   meth init(x:X<=0.0 y:Y<=0.0) self.x = X self.y = Y end   meth print {System.showInfo "Point("# "x:"#self.x# ", y:"#self.y# ")"} end end   class Circle feat center r   meth init(center:C<={New Point init} r:...
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,...
#Wren
Wren
import "/dynamic" for Tuple import "/sort" for Sort import "/str" for Str import "/seq" for Lst   var Card = Tuple.create("Card", ["face", "suit"])   var FACES = "23456789tjqka" var SUITS = "shdc"   var isStraight = Fn.new { |cards| var cmp = Fn.new { |i, j| (i.face - j.face).sign } var sorted = Sort.merge(card...
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 ...
#J
J
countPopln=: +/"1@#: isOdd=: 1 = 2&| isEven=: 0 = 2&|
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...
#SPAD
SPAD
(1) -> monicDivide(x^3-12*x^2-42,x-3,'x)   2 (1) [quotient = x - 9x - 27,remainder = - 123]   Type: Record(quotient: Polynomial(Integer),remainder: Polynomial(Integer))
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...
#Swift
Swift
protocol Dividable { static func / (lhs: Self, rhs: Self) -> Self }   extension Int: Dividable { }   struct Solution<T> { var quotient: [T] var remainder: [T] }   func polyDegree<T: SignedNumeric>(_ p: [T]) -> Int { for i in stride(from: p.count - 1, through: 0, by: -1) where p[i] != 0 { return i }   re...
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...
#REXX
REXX
/* REXX --------------------------------------------------------------- * Implementation of http://keisan.casio.com/exec/system/14059932254941 *--------------------------------------------------------------------*/ xl='0 1 2 3 4 5 6 7 8 9 10' yl='1 6 17 34 57 86 121 162 209 262 321' n=11 Do i=1 To n Pars...
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...
#Kotlin
Kotlin
// purely functional & lazy version, leveraging recursion and Sequences (a.k.a. streams) fun <T> Set<T>.subsets(): Sequence<Set<T>> = when (size) { 0 -> sequenceOf(emptySet()) else -> { val head = first() val tail = this - head tail.subsets() + tail.subsets().map ...
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 ...
#Euphoria
Euphoria
function is_prime(integer n) if n<=2 or remainder(n,2)=0 then return 0 else for i=3 to sqrt(n) by 2 do if remainder(n,i)=0 then return 0 end if end for return 1 end if end function
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 ...
#Oz
Oz
fun {PriceFraction X} OutOfRange = {Value.failed outOfRange(X)} in for Limit#Result in [0.00#OutOfRange 0.06#0.10 0.11#0.18 0.16#0.26 0.21#0.32 0.26#0.38 0.31#0.44 0.36#0.5 0.41#0.54 0.46#0.58 0.51#0.62 0.56#0.66 0.61#0.70 0.66#0.74 0.71#0.78 0.76#0.82 0.81#0.86 0.86#0.90 0.91#0.94 0.96...
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...
#Python
Python
>>> def proper_divs2(n): ... return {x for x in range(1, (n + 1) // 2 + 1) if n % x == 0 and n != x} ... >>> [proper_divs2(n) for n in range(1, 11)] [set(), {1}, {1}, {1, 2}, {1}, {1, 2, 3}, {1}, {1, 2, 4}, {1, 3}, {1, 2, 5}] >>> >>> n, length = max(((n, len(proper_divs2(n))) for n in range(1, 20001)), key=lambda...
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...
#Run_BASIC
Run BASIC
sqliteconnect #mem, ":memory:" #mem execute("CREATE TABLE queue (priority float,descr text)")   ' -------------------------------------------------------------- ' Insert items into the que ' -------------------------------------------------------------- #mem execute("INSERT INTO queue VALUES (3,'Clear drains')") #mem e...
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 ...
#LFE
LFE
  (defun factors (n) (factors n 2 '()))   (defun factors ((1 _ acc) acc) ((n k acc) (when (== 0 (rem n k))) (factors (div n k) k (cons k acc))) ((n k acc) (factors n (+ k 1) acc)))  
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....
#PureBasic
PureBasic
Structure PlotData x.i y.f EndStructure   Global i, x, y.f, max_x, max_y, min_x = #MAXLONG, min_y = Infinity() Define count = (?serie_y - ?serie_x) / SizeOf(Integer) - 1 Global Dim MyData.PlotData(count)   Restore serie_x For i = 0 To count Read.i x MyData(i)\x = x If x > max_x: max_x = x: EndIf If x < min...
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
#Pascal
Pascal
{ package Point; use Class::Spiffy -base; use Clone qw(clone);   sub _print { my %self = %{shift()}; while (my ($k,$v) = each %self) { print "$k: $v\n"; } }   sub members { no strict; grep { 1 == length and defined *$_{...
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 ...
#Java
Java
import java.math.BigInteger;   public class PopCount { public static void main(String[] args) { { // with int System.out.print("32-bit integer: "); int n = 1; for (int i = 0; i < 20; i++) { System.out.printf("%d ", Integer.bitCount(n)); n *= 3; } System.out.println(); } { // with lon...
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...
#Tcl
Tcl
# poldiv - Divide two polynomials n and d. # Result is a list of two polynomials, q and r, where n = qd + r # and the degree of r is less than the degree of b. # Polynomials are represented as lists, where element 0 is the # x**0 coefficient, element 1 is the x**1 coefficient, and so...
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...
#Ruby
Ruby
require 'matrix'   def regress x, y, degree x_data = x.map { |xi| (0..degree).map { |pow| (xi**pow).to_r } }   mx = Matrix[*x_data] my = Matrix.column_vector(y)   ((mx.t * mx).inv * mx.t * my).transpose.to_a[0].map(&:to_f) end
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...
#Logo
Logo
to powerset :set if empty? :set [output [[]]] localmake "rest powerset butfirst :set output sentence map [sentence first :set ?] :rest  :rest end   show powerset [1 2 3] [[1 2 3] [1 2] [1 3] [1] [2 3] [2] [3] []]
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 ...
#F.23
F#
open NUnit.Framework open FsUnit let inline isPrime n = not ({uint64 2..uint64 (sqrt (double n))} |> Seq.exists (fun (i:uint64) -> uint64 n % i = uint64 0)) [<Test>] let ``Validate that 2 is prime`` () = isPrime 2 |> should equal true   [<Test>] let ``Validate that 4 is not prime`` () = isPrime 4 |> should equal fa...
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 ...
#PARI.2FGP
PARI/GP
priceLookup=[6,11,16,21,26,31,41,46,51,56,61,66,71,76,81,86,91,96,101]; priceReplace=[10,18,26,32,38,44,50,54,58,62,66,70,74,78,82,86,90,94,98,100]; pf(x)={ x*=100; for(i=1,19, if(x<priceLookup[i], return(priceReplace[i])) ); "nasal demons" };
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...
#Quackery
Quackery
[ factors -1 split drop ] is properdivisors ( n --> [ )   10 times [ i^ 1+ properdivisors echo cr ]   0 0 20000 times [ i^ 1+ properdivisors size 2dup < iff [ dip [ 2drop i^ 1+ ] ] else drop ] swap echo say " has " echo say " proper divisors." cr
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...
#Rust
Rust
use std::collections::BinaryHeap; use std::cmp::Ordering; use std::borrow::Cow;   #[derive(Eq, PartialEq)] struct Item<'a> { priority: usize, task: Cow<'a, str>, // Takes either borrowed or owned string }   impl<'a> Item<'a> { fn new<T>(p: usize, t: T) -> Self where T: Into<Cow<'a, str>> { ...
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 ...
#Lingo
Lingo
-- Returns list of prime factors for given number. -- To overcome the limits of integers (signed 32-bit in Lingo), -- the number can be specified as float (which works up to 2^53). -- For the same reason, values in returned list are floats, not integers. on getPrimeFactors (n) f = [] f.sort() c = sqrt(n) i = 1....
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....
#Python
Python
>>> 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, 149.3, 180.0]   >>> import pylab >>> pylab.plot(x, y, 'bo') >>> pylab.savefig('qsort-range-10-9.png')  
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
#Perl
Perl
{ package Point; use Class::Spiffy -base; use Clone qw(clone);   sub _print { my %self = %{shift()}; while (my ($k,$v) = each %self) { print "$k: $v\n"; } }   sub members { no strict; grep { 1 == length and defined *$_{...
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 ...
#JavaScript
JavaScript
(() => { 'use strict';   // populationCount :: Int -> Int const populationCount = n => // The number of non-zero bits in the binary // representation of the integer n. sum(unfoldr( x => 0 < x ? ( Just(Tuple(x % 2)(Math.floor(x / 2))) ) : Nothin...
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...
#Ursala
Ursala
#import std #import flo   polydiv =   zeroid~-l~~; leql?rlX\~&NlX ^H\(@rNrNSPXlHDlS |\ :/0.) @NlX //=> ?( @lrrPX ==!| zipp0.; @x not zeroid+ ==@h->hr ~&t, (^lryPX/~&lrrl2C minus^*p/~&rrr times*lrlPD)^/div@bzPrrPlXO ~&, @r ^|\~& ~&i&& :/0.)
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...
#VBA
VBA
Option Base 1 Function degree(p As Variant) For i = UBound(p) To 1 Step -1 If p(i) <> 0 Then degree = i Exit Function End If Next i degree = -1 End Function   Function poly_div(ByVal n As Variant, ByVal d As Variant) As Variant If UBound(d) < UBound(n) Then ...
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...
#Scala
Scala
object PolynomialRegression extends App { private def xy = Seq(1, 6, 17, 34, 57, 86, 121, 162, 209, 262, 321).zipWithIndex.map(_.swap)   private def polyRegression(xy: Seq[(Int, Int)]): Unit = { val r = xy.indices   def average[U](ts: Iterable[U])(implicit num: Numeric[U]) = num.toDouble(ts.sum) / ts.size  ...
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...
#Logtalk
Logtalk
:- object(set).   :- public(powerset/2).   powerset(Set, PowerSet) :- reverse(Set, RSet), powerset_1(RSet, [[]], PowerSet).   powerset_1([], PowerSet, PowerSet). powerset_1([X| Xs], Yss0, Yss) :- powerset_2(Yss0, X, Yss1), powerset_1(Xs, Yss1, Yss).   powerset_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 ...
#Factor
Factor
USING: combinators kernel math math.functions math.ranges sequences ;   : prime? ( n -- ? ) { { [ dup 2 < ] [ drop f ] } { [ dup even? ] [ 2 = ] } [ 3 over sqrt 2 <range> [ mod 0 > ] with all? ] } cond ;
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 ...
#Pascal
Pascal
Program PriceFraction(output);   const limit: array [1..20] of real = (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, 1.01); price: array [1..20] of real = (0.10, 0.18, 0.26, 0.32, 0.38, 0.44, 0.50, 0.54, 0.58, 0....
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...
#R
R
# Proper divisors. 12/10/16 aev require(numbers); V <- sapply(1:20000, Sigma, k = 0, proper = TRUE); ind <- which(V==max(V)); cat(" *** max number of divisors:", max(V), "\n"," *** for the following indices:",ind, "\n");
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...
#SAS
SAS
%macro HeapInit(size=1000,nchar=20); do; _len = 0; _size = &size; array _times(&size) _temporary_ ; array _kinds(&size) $ &nchar _temporary_; drop _size _len; end; %mend; %macro HeapSwapItem(index1, index2); do; _tempN = _times[&index1]; _times[&index1] = _times[&index2]; _times[&index2] = _tempN; _tempC = _kind...
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 ...
#Logo
Logo
to decompose :n [:p 2] if :p*:p > :n [output (list :n)] if less? 0 modulo :n :p [output (decompose :n bitor 1 :p+1)] output fput :p (decompose :n/:p :p) end
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....
#R
R
x <- c(0, 1, 2, 3, 4, 5, 6, 7, 8, 9) y <- c(2.7, 2.8, 31.4, 38.1, 58.0, 76.2, 100.5, 130.0, 149.3, 180.0)
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....
#Racket
Racket
#lang racket (require plot)   (define x (build-list 10 values)) (define y (list 2.7 2.8 31.4 38.1 58.0 76.2 100.5 130.0 149.3 180.0))   (plot-new-window? #t) (plot (points (map vector x y)))
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
#Phix
Phix
type point(object o) return sequence(o) and length(o)=2 and atom(o[1]) and atom(o[2]) end type function new_point(atom x=0, atom y=0) return {x,y} end function type circle(object o) return sequence(o) and length(o)=2 and point(o[1]) and atom(o[2]) end type function new_circle(object x=0, atom y=0, ato...
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 ...
#jq
jq
def popcount: def bin: recurse( if . == 0 then empty else ./2 | floor end ) % 2; [bin] | add;   def firstN(count; condition): if count > 0 then if condition then ., (1+.| firstN(count-1; condition)) else (1+.) | firstN(count; condition) end else empty end;   def task: def pow(n): . as $m | red...
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...
#Wren
Wren
import "/dynamic" for Tuple   var Solution = Tuple.create("Solution", ["quotient", "remainder"])   var polyDegree = Fn.new { |p| for (i in p.count-1..0) if (p[i] != 0) return i return -2.pow(31) }   var polyShiftRight = Fn.new { |p, places| if (places <= 0) return p var pd = polyDegree.call(p) if (p...
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...
#Sidef
Sidef
func regress(x, y, degree) { var A = Matrix.build(x.len, degree+1, {|i,j| x[i]**j })   var B = Matrix.column_vector(y...) ((A.transpose * A)**(-1) * A.transpose * B).transpose[0] }   func poly(x) { 3*x**2 + 2*x + 1 }   var coeff = regress( 10.of { _ }, 10.of { poly(_) }, 2 )   sa...
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...
#Lua
Lua
  --returns the powerset of s, out of order. function powerset(s, start) start = start or 1 if(start > #s) then return {{}} end local ret = powerset(s, start + 1) for i = 1, #ret do ret[#ret + 1] = {s[start], unpack(ret[i])} end return ret end   --non-recurse implementation function powerset(s) local...
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 ...
#FALSE
FALSE
[0\$2=$[@~@@]?~[$$2>\1&&[\~\ 3[\$@$@1+\$*>][\$@$@$@$@\/*=[%\~\$]?2+]#% ]?]?%]p:
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 ...
#Perl
Perl
my @table = map [ /([\d\.]+)/g ], split "\n", <<'TBL'; >= 0.00 < 0.06  := 0.10 >= 0.06 < 0.11  := 0.18 >= 0.11 < 0.16  := 0.26 >= 0.16 < 0.21  := 0.32 >= 0.21 < 0.26  := 0.38 >= 0.26 < 0.31  := 0.44 >= 0.31 < 0.36  := 0.50 >= 0.36 < 0.41  := 0.54 >= 0.41 < 0.46  := 0.58 >= 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...
#Racket
Racket
#lang racket (require math) (define (proper-divisors n) (drop-right (divisors n) 1)) (for ([n (in-range 1 (add1 10))]) (printf "proper divisors of: ~a\t~a\n" n (proper-divisors n))) (define most-under-20000 (for/fold ([best '(1)]) ([n (in-range 2 (add1 20000))]) (define divs (proper-divisors n)) (if (< (len...
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...
#Scala
Scala
import scala.collection.mutable.PriorityQueue case class Task(prio:Int, text:String) extends Ordered[Task] { def compare(that: Task)=that.prio compare this.prio }   //test var q=PriorityQueue[Task]() ++ Seq(Task(3, "Clear drains"), Task(4, "Feed cat"), Task(5, "Make tea"), Task(1, "Solve RC tasks"), Task(2, "Tax 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 ...
#Lua
Lua
function PrimeDecomposition( n ) local f = {}   if IsPrime( n ) then f[1] = n return f end   local i = 2 repeat while n % i == 0 do f[#f+1] = i n = n / i end   repeat i = i + 1 until IsPrime( i ) until n =...
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....
#Raku
Raku
use SVG; use SVG::Plot;   my @x = 0..9; my @y = (2.7, 2.8, 31.4, 38.1, 58.0, 76.2, 100.5, 130.0, 149.3, 180.0);   say SVG.serialize: SVG::Plot.new( width => 512, height => 512, x => @x, x-tick-step => { 1 }, min-y-axis => 0, values => [@y,], title => 'Coordinate P...
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
#PHP
PHP
  class Point { protected $_x;   protected $_y;   public function __construct() { switch( func_num_args() ) { case 1: $point = func_get_arg( 0 ); $this->setFromPoint( $point ); break; case 2: $x = func_get_arg( 0 ); $y = func_get_arg( 1 ); $thi...
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 ...
#Julia
Julia
println("First 3 ^ i, up to 29 pop. counts: ", join((count_ones(3 ^ n) for n in 0:29), ", ")) println("Evil numbers: ", join(filter(x -> iseven(count_ones(x)), 0:59), ", ")) println("Odious numbers: ", join(filter(x -> isodd(count_ones(x)), 0:59), ", "))
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...
#zkl
zkl
fcn polyLongDivision(a,b){ // (a0 + a1x + a2x^2 + a3x^3 ...) _assert_(degree(b)>=0,"degree(%s) < 0".fmt(b)); q:=List.createLong(a.len(),0.0); while((ad:=degree(a)) >= (bd:=degree(b))){ z,d,m := ad-bd, List.createLong(z,0.0).extend(b), a[ad]/b[bd];; q[z]=m; d,a = d.apply('*(m)), a.zipWith('-,...
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...
#Stata
Stata
. clear . input x y 0 1 1 6 2 17 3 34 4 57 5 86 6 121 7 162 8 209 9 262 10 321 end   . regress y c.x##c.x   Source | SS df MS Number of obs = 11 -------------+---------------------------------- F(2, 8) = . Model | 120362 2 60181 Pro...
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...
#M4
M4
define(`for', `ifelse($#, 0, ``$0'', eval($2 <= $3), 1, `pushdef(`$1', `$2')$4`'popdef( `$1')$0(`$1', incr($2), $3, `$4')')')dnl define(`nth', `ifelse($1, 1, $2, `nth(decr($1), shift(shift($@)))')')dnl define(`range', `for(`x', eval($1 + 2), eval($2 + 2), `nth(x, ...
http://rosettacode.org/wiki/Primality_by_trial_division
Primality by trial division
Task Write a boolean function that tells whether a given integer is prime. Remember that   1   and all non-positive numbers are not prime. Use trial division. Even numbers greater than   2   may be eliminated right away. A loop from   3   to   √ n    will suffice,   but other loops are allowed. Related tasks ...
#FBSL
FBSL
#APPTYPE CONSOLE   FUNCTION ISPRIME(n AS INTEGER) AS INTEGER IF n = 2 THEN RETURN TRUE ELSEIF n <= 1 ORELSE n MOD 2 = 0 THEN RETURN FALSE ELSE FOR DIM i = 3 TO SQR(n) STEP 2 IF n MOD i = 0 THEN RETURN FALSE END IF NEXT RETURN TR...
http://rosettacode.org/wiki/Price_fraction
Price fraction
A friend of mine runs a pharmacy.   He has a specialized function in his Dispensary application which receives a decimal value of currency and replaces it to a standard value.   This value is regulated by a government department. Task Given a floating point value between   0.00   and   1.00,   rescale according to ...
#Phix
Phix
with javascript_semantics constant TBL=split(""" >= 0.00 < 0.06  := 0.10 >= 0.06 < 0.11  := 0.18 >= 0.11 < 0.16  := 0.26 >= 0.16 < 0.21  := 0.32 >= 0.21 < 0.26  := 0.38 >= 0.26 < 0.31  := 0.44 >= 0.31 < 0.36  := 0.50 >= 0.36 < 0.41  := 0.54 >= 0.41 < 0.46  := 0.58 >= 0.46 < 0.51  ...
http://rosettacode.org/wiki/Proper_divisors
Proper divisors
The   proper divisors   of a positive integer N are those numbers, other than N itself, that divide N without remainder. For N > 1 they will always include 1,   but for N == 1 there are no proper divisors. Examples The proper divisors of     6     are   1, 2, and 3. The proper divisors of   100   are   1, 2, 4, 5...
#Raku
Raku
sub propdiv (\x) { my @l = 1 if x > 1; (2 .. x.sqrt.floor).map: -> \d { unless x % d { @l.push: d; my \y = x div d; @l.push: y if y != d } } @l }   put "$_ [{propdiv($_)}]" for 1..10;   my @candidates; loop (my int $c = 30; $c <= 20_000; $c += 30) { #(30, *+30 …^ * > 500_000).race.map: -> $c { ...
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...
#SenseTalk
SenseTalk
  // PriorityQueue.script set Tasks to a new PriorityQueue   tell Tasks to add 3,"Clear drains" tell Tasks to add 4,"Feed cat" tell Tasks to add 5,"Make tea" tell Tasks to add 1,"Solve RC tasks" tell Tasks to add 2,"Tax return"   put "Initial tasks:" put Tasks.report & return   put Tasks.getTop into topItem put "Top pr...
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 ...
#M2000_Interpreter
M2000 Interpreter
  Module Prime_decomposition { Inventory Known1=2@, 3@ IsPrime=lambda Known1 (x as decimal) -> { =0=1 if exist(Known1, x) then =1=1 : exit if x<=5 OR frac(x) then {if x == 2 OR x == 3 OR x == 5 then Append Known1, x  : =1=1 Break} ...