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http://rosettacode.org/wiki/Anagrams/Deranged_anagrams
Anagrams/Deranged anagrams
Two or more words are said to be anagrams if they have the same characters, but in a different order. By analogy with derangements we define a deranged anagram as two words with the same characters, but in which the same character does not appear in the same position in both words. Task[edit] Use the word list at uni...
#Haskell
Haskell
{-# LANGUAGE TupleSections #-}   import Data.List (maximumBy, sort, unfoldr) import Data.Ord (comparing) import qualified Data.Map as M import qualified Data.Set as S   -- Lists of words grouped by their "signatures". A signature is a sorted -- list of characters. Duplicate words stored in sets. groupBySig :: [String...
http://rosettacode.org/wiki/Anonymous_recursion
Anonymous recursion
While implementing a recursive function, it often happens that we must resort to a separate   helper function   to handle the actual recursion. This is usually the case when directly calling the current function would waste too many resources (stack space, execution time), causing unwanted side-effects,   and/or the f...
#Fortran
Fortran
integer function fib(n) integer, intent(in) :: n if (n < 0 ) then write (*,*) 'Bad argument: fib(',n,')' stop else fib = purefib(n) end if contains recursive pure integer function purefib(n) result(f) integer, intent(in) :: n if (n < 2 ) then f = n else f = purefib(n-1) + p...
http://rosettacode.org/wiki/Angles_(geometric),_normalization_and_conversion
Angles (geometric), normalization and conversion
This task is about the normalization and/or conversion of (geometric) angles using some common scales. The angular scales that will be used in this task are:   degree   gradian   mil   radian Definitions The angular scales used or referenced here:   turn   is a full turn or 360 degrees, also shown as 360º ...
#Python
Python
PI = 3.141592653589793 TWO_PI = 6.283185307179586   def normalize2deg(a): while a < 0: a += 360 while a >= 360: a -= 360 return a def normalize2grad(a): while a < 0: a += 400 while a >= 400: a -= 400 return a def normalize2mil(a): while a < 0: a += 6400 while a >= 6400: a -= 6400 return a def normaliz...
http://rosettacode.org/wiki/Amicable_pairs
Amicable pairs
Two integers N {\displaystyle N} and M {\displaystyle M} are said to be amicable pairs if N ≠ M {\displaystyle N\neq M} and the sum of the proper divisors of N {\displaystyle N} ( s u m ( p r o p D i v s ( N ) ) {\displaystyle \mathrm {sum} (\mathrm {propDivs} (N))} ) = M ...
#D
D
void main() @safe /*@nogc*/ { import std.stdio, std.algorithm, std.range, std.typecons, std.array;   immutable properDivs = (in uint n) pure nothrow @safe /*@nogc*/ => iota(1, (n + 1) / 2 + 1).filter!(x => n % x == 0);   enum rangeMax = 20_000; auto n2d = iota(1, rangeMax + 1).map!(n => properDi...
http://rosettacode.org/wiki/Animation
Animation
Animation is integral to many parts of GUIs, including both the fancy effects when things change used in window managers, and of course games.   The core of any animation system is a scheme for periodically changing the display while still remaining responsive to the user.   This task demonstrates this. Task Creat...
#JavaScript_.2B_HTML
JavaScript + HTML
<html> <head> <title>RC: Basic Animation</title> <script type="text/javascript"> function animate(id) { var element = document.getElementById(id); var textNode = element.childNodes[0]; // assuming no other children   var text = textNode.data; var reverse =...
http://rosettacode.org/wiki/Animate_a_pendulum
Animate a pendulum
One good way of making an animation is by simulating a physical system and illustrating the variables in that system using a dynamically changing graphical display. The classic such physical system is a simple gravity pendulum. Task Create a simple physical model of a pendulum and animate it.
#Euler_Math_Toolbox
Euler Math Toolbox
>g=gearth$; l=1m; >function f(x,y) := [y[2],-g*sin(y[1])/l] >function h(a) := ode("f",linspace(0,a,100),[0,2])[1,-1] >period=solve("h",2) 2.06071780729 >t=linspace(0,period,30); s=ode("f",t,[0,2])[1]; >function anim (t,s) ... $ setplot(-1,1,-1,1); $ markerstyle("o#"); $ repeat $ for i=1 to cols(t)-1; $ clg; $ ...
http://rosettacode.org/wiki/Almkvist-Giullera_formula_for_pi
Almkvist-Giullera formula for pi
The Almkvist-Giullera formula for calculating   1/π2   is based on the Calabi-Yau differential equations of order 4 and 5,   which were originally used to describe certain manifolds in string theory. The formula is: 1/π2 = (25/3) ∑0∞ ((6n)! / (n!6))(532n2 + 126n + 9) / 10002n+1 This formula can be used to calcul...
#dc
dc
[* factorial *]sz [ 1 Sp [ d lp * sp 1 - d 1 <f ]Sf d 1 <f Lfsz sz Lp ]sF   [* nth integral term *]sz [ sn 32 6 ln * lFx 532 ln * ln * 126 ln * + 9 + * * 3 ln lFx 6 ^ * / ]sI   [* nth exponent of 10 *]sz [ 1 + 6 * 3 r - ]sE   [* nth term in series *]sz [ d lIx r 10 r lEx _1 * ^ / ]sA   [* sum of the first n terms *]sz ...
http://rosettacode.org/wiki/Almkvist-Giullera_formula_for_pi
Almkvist-Giullera formula for pi
The Almkvist-Giullera formula for calculating   1/π2   is based on the Calabi-Yau differential equations of order 4 and 5,   which were originally used to describe certain manifolds in string theory. The formula is: 1/π2 = (25/3) ∑0∞ ((6n)! / (n!6))(532n2 + 126n + 9) / 10002n+1 This formula can be used to calcul...
#Erlang
Erlang
  -mode(compile).   % Integer math routines: factorial, power, square root, integer logarithm. % fac(N) -> fac(N, 1). fac(N, A) when N < 2 -> A; fac(N, A) -> fac(N - 1, N*A).     pow(_, N) when N < 0 -> pow_domain_error; pow(2, N) -> 1 bsl N; pow(A, N) -> ipow(A, N).   ipow(_, 0) -> 1; ipow(A, 1) -> A; ipow(A, 2) -> A*...
http://rosettacode.org/wiki/Almost_prime
Almost prime
A   k-Almost-prime   is a natural number   n {\displaystyle n}   that is the product of   k {\displaystyle k}   (possibly identical) primes. Example 1-almost-primes,   where   k = 1 {\displaystyle k=1} ,   are the prime numbers themselves. 2-almost-primes,   where   k = 2 {\displaystyl...
#11l
11l
F k_prime(k, =n) V f = 0 V p = 2 L f < k & p * p <= n L n % p == 0 n /= p f++ p++ R f + (I n > 1 {1} E 0) == k   F primes(k, n) V i = 2 [Int] list L list.len < n I k_prime(k, i) list [+]= i i++ R list   L(k) 1..5 print(‘k = ’k‘: ’primes(k, 10...
http://rosettacode.org/wiki/Angle_difference_between_two_bearings
Angle difference between two bearings
Finding the angle between two bearings is often confusing.[1] Task Find the angle which is the result of the subtraction b2 - b1, where b1 and b2 are the bearings. Input bearings are expressed in the range   -180   to   +180   degrees. The  result  is also expressed in the range   -180   to   +180   degrees. ...
#Factor
Factor
USING: combinators generalizations kernel math prettyprint ; IN: rosetta-code.bearings   : delta-bearing ( x y -- z ) swap - 360 mod { { [ dup 180 > ] [ 360 - ] } { [ dup -180 < ] [ 360 + ] } [ ] } cond ;   : bearings-demo ( -- ) 20 45 -45 45 -85 90 -95 90 -45 125 ...
http://rosettacode.org/wiki/Anagrams/Deranged_anagrams
Anagrams/Deranged anagrams
Two or more words are said to be anagrams if they have the same characters, but in a different order. By analogy with derangements we define a deranged anagram as two words with the same characters, but in which the same character does not appear in the same position in both words. Task[edit] Use the word list at uni...
#Icon_and_Unicon
Icon and Unicon
link strings # for csort() procedure   procedure main() anagrams := table() # build lists of anagrams every *(word := !&input) > 1 do { canon := csort(word) /anagrams[canon] := [] put(anagrams[canon], word) }   longest := 1 #...
http://rosettacode.org/wiki/Anonymous_recursion
Anonymous recursion
While implementing a recursive function, it often happens that we must resort to a separate   helper function   to handle the actual recursion. This is usually the case when directly calling the current function would waste too many resources (stack space, execution time), causing unwanted side-effects,   and/or the f...
#FreeBASIC
FreeBASIC
' FB 1.05.0 Win64   #Lang "fblite"   Option Gosub '' enables Gosub to be used   ' Using gosub to simulate a nested function Function fib(n As UInteger) As UInteger Gosub nestedFib Exit Function   nestedFib: fib = IIf(n < 2, n, fib(n - 1) + fib(n - 2)) Return End Function   ' This function simulates (rather m...
http://rosettacode.org/wiki/Angles_(geometric),_normalization_and_conversion
Angles (geometric), normalization and conversion
This task is about the normalization and/or conversion of (geometric) angles using some common scales. The angular scales that will be used in this task are:   degree   gradian   mil   radian Definitions The angular scales used or referenced here:   turn   is a full turn or 360 degrees, also shown as 360º ...
#Racket
Racket
#lang racket   (define (rem n m) (let* ((m (abs m)) (-m (- m))) (let recur ((n n)) (cond [(< n -m) (recur (+ n m))] [(>= n m) (recur (- n m))] [else n]))))   (define 2.pi (* 2 pi))   (define (deg->deg a) (rem a 360)) (define (grad->grad a) (rem a 400)) (define (mil->mil a) (rem a 640...
http://rosettacode.org/wiki/Angles_(geometric),_normalization_and_conversion
Angles (geometric), normalization and conversion
This task is about the normalization and/or conversion of (geometric) angles using some common scales. The angular scales that will be used in this task are:   degree   gradian   mil   radian Definitions The angular scales used or referenced here:   turn   is a full turn or 360 degrees, also shown as 360º ...
#Raku
Raku
  my @units = { code => 'd', name => 'degrees' , number => 360 }, { code => 'g', name => 'gradians', number => 400 }, { code => 'm', name => 'mills' , number => 6400 }, { code => 'r', name => 'radians' , number => tau }, ;   my Code %cvt = (@units X @units).map: -> ($a, $b) { "{$a.<code>}2{$b.<...
http://rosettacode.org/wiki/Amicable_pairs
Amicable pairs
Two integers N {\displaystyle N} and M {\displaystyle M} are said to be amicable pairs if N ≠ M {\displaystyle N\neq M} and the sum of the proper divisors of N {\displaystyle N} ( s u m ( p r o p D i v s ( N ) ) {\displaystyle \mathrm {sum} (\mathrm {propDivs} (N))} ) = M ...
#Delphi
Delphi
/* Fill a given array such that for each N, * P[n] is the sum of proper divisors of N */ proc nonrec propdivs([*] word p) void: word i, j, max; max := dim(p,1)-1; for i from 0 upto max do p[i] := 0 od; for i from 1 upto max/2 do for j from i*2 by i upto max do p[j] := p[j] + i ...
http://rosettacode.org/wiki/Animation
Animation
Animation is integral to many parts of GUIs, including both the fancy effects when things change used in window managers, and of course games.   The core of any animation system is a scheme for periodically changing the display while still remaining responsive to the user.   This task demonstrates this. Task Creat...
#JavaScript_.2B_SVG
JavaScript + SVG
<svg xmlns="http://www.w3.org/2000/svg" width="100" height="40"> <script type="text/javascript"> function animate(element) { var textNode = element.childNodes[0]; // assuming no other children var text = textNode.data; var reverse = false;   element.oncli...
http://rosettacode.org/wiki/Animate_a_pendulum
Animate a pendulum
One good way of making an animation is by simulating a physical system and illustrating the variables in that system using a dynamically changing graphical display. The classic such physical system is a simple gravity pendulum. Task Create a simple physical model of a pendulum and animate it.
#Euphoria
Euphoria
include graphics.e include misc.e   constant dt = 1E-3 constant g = 50   sequence vc sequence suspension atom len   procedure draw_pendulum(atom color, atom len, atom alfa) sequence point point = (len*{sin(alfa),cos(alfa)} + suspension) draw_line(color, {suspension, point}) ellipse(color,0,point-{10,10}...
http://rosettacode.org/wiki/Almkvist-Giullera_formula_for_pi
Almkvist-Giullera formula for pi
The Almkvist-Giullera formula for calculating   1/π2   is based on the Calabi-Yau differential equations of order 4 and 5,   which were originally used to describe certain manifolds in string theory. The formula is: 1/π2 = (25/3) ∑0∞ ((6n)! / (n!6))(532n2 + 126n + 9) / 10002n+1 This formula can be used to calcul...
#F.23
F#
  // Almkvist-Giullera formula for pi. Nigel Galloway: August 17th., 2021 let factorial(n:bigint)=MathNet.Numerics.SpecialFunctions.Factorial n let fN g=(532I*g*g+126I*g+9I)*(factorial(6I*g))/(3I*(factorial g)**6) [0..9]|>Seq.iter(bigint>>fN>>(*)32I>>printfn "%A\n") let _,n=Seq.unfold(fun(n,g)->let n=n*(10I**6)+fN g in...
http://rosettacode.org/wiki/Almkvist-Giullera_formula_for_pi
Almkvist-Giullera formula for pi
The Almkvist-Giullera formula for calculating   1/π2   is based on the Calabi-Yau differential equations of order 4 and 5,   which were originally used to describe certain manifolds in string theory. The formula is: 1/π2 = (25/3) ∑0∞ ((6n)! / (n!6))(532n2 + 126n + 9) / 10002n+1 This formula can be used to calcul...
#Factor
Factor
USING: continuations formatting io kernel locals math math.factorials math.functions sequences ;   :: integer-term ( n -- m ) 32 6 n * factorial * 532 n sq * 126 n * + 9 + * n factorial 6 ^ 3 * / ;   : exponent-term ( n -- m ) 6 * 3 + neg ;   : nth-term ( n -- x ) [ integer-term ] [ exponent-term 10^ * ] bi...
http://rosettacode.org/wiki/Almost_prime
Almost prime
A   k-Almost-prime   is a natural number   n {\displaystyle n}   that is the product of   k {\displaystyle k}   (possibly identical) primes. Example 1-almost-primes,   where   k = 1 {\displaystyle k=1} ,   are the prime numbers themselves. 2-almost-primes,   where   k = 2 {\displaystyl...
#Action.21
Action!
BYTE FUNC IsAlmostPrime(INT num BYTE k) INT f,p,v   f=0 p=2 v=num WHILE f<k AND p*p<=num DO WHILE v MOD p=0 DO v==/p f==+1 OD p==+1 OD IF v>1 THEN f==+1 FI IF f=k THEN RETURN (1) FI RETURN (0)   PROC Main() BYTE count,k INT i   FOR k=1 TO 5 DO PrintF("k=%B:",k...
http://rosettacode.org/wiki/Almost_prime
Almost prime
A   k-Almost-prime   is a natural number   n {\displaystyle n}   that is the product of   k {\displaystyle k}   (possibly identical) primes. Example 1-almost-primes,   where   k = 1 {\displaystyle k=1} ,   are the prime numbers themselves. 2-almost-primes,   where   k = 2 {\displaystyl...
#Ada
Ada
with Prime_Numbers, Ada.Text_IO;   procedure Test_Kth_Prime is   package Integer_Numbers is new Prime_Numbers (Natural, 0, 1, 2); use Integer_Numbers;   Out_Length: constant Positive := 10; -- 10 k-th almost primes N: Positive; -- the "current number" to be checked   begin for K in 1 .. 5 loop ...
http://rosettacode.org/wiki/Angle_difference_between_two_bearings
Angle difference between two bearings
Finding the angle between two bearings is often confusing.[1] Task Find the angle which is the result of the subtraction b2 - b1, where b1 and b2 are the bearings. Input bearings are expressed in the range   -180   to   +180   degrees. The  result  is also expressed in the range   -180   to   +180   degrees. ...
#Forth
Forth
  : Angle-Difference-stack ( b1 b2 - a +/-180) \ Algorithm with stack manipulation without branches ( s. Frotran Groovy) fswap f- \ Delta angle 360e fswap fover fmod \ mod 360 fover 1.5e f* f+ \ + 540 fover fmod \ mod 360 fswap f2/ f- ...
http://rosettacode.org/wiki/Anagrams/Deranged_anagrams
Anagrams/Deranged anagrams
Two or more words are said to be anagrams if they have the same characters, but in a different order. By analogy with derangements we define a deranged anagram as two words with the same characters, but in which the same character does not appear in the same position in both words. Task[edit] Use the word list at uni...
#J
J
#words=: 'b' freads 'unixdict.txt' 25104 #anagrams=: (#~ 1 < #@>) (</.~ /:~&>) words 1303 #maybederanged=: (#~ (1 -.@e. #@~."1)@|:@:>&>) anagrams 432 #longest=: (#~ [: (= >./) #@>@{.@>) maybederanged 1 longest ┌───────────────────────┐ │┌──────────┬──────────┐│ ││excitation│intoxicate││ │└──────────┴────...
http://rosettacode.org/wiki/Anonymous_recursion
Anonymous recursion
While implementing a recursive function, it often happens that we must resort to a separate   helper function   to handle the actual recursion. This is usually the case when directly calling the current function would waste too many resources (stack space, execution time), causing unwanted side-effects,   and/or the f...
#F.C5.8Drmul.C3.A6
Fōrmulæ
package main   import "fmt"   func main() { for _, n := range []int{0, 1, 2, 3, 4, 5, 10, 40, -1} { f, ok := arFib(n) if ok { fmt.Printf("fib %d = %d\n", n, f) } else { fmt.Println("fib undefined for negative numbers") } } }   func arFib(n int) (int, bool)...
http://rosettacode.org/wiki/Angles_(geometric),_normalization_and_conversion
Angles (geometric), normalization and conversion
This task is about the normalization and/or conversion of (geometric) angles using some common scales. The angular scales that will be used in this task are:   degree   gradian   mil   radian Definitions The angular scales used or referenced here:   turn   is a full turn or 360 degrees, also shown as 360º ...
#REXX
REXX
/*REXX pgm normalizes an angle (in a scale), or converts angles from a scale to another.*/ numeric digits length( pi() ) - length(.) /*use the "length" of pi for precision.*/ parse arg x /*obtain optional arguments from the CL*/ if x='' | x="," then x= '-2 -1 0 1 2 6.2831853...
http://rosettacode.org/wiki/Amicable_pairs
Amicable pairs
Two integers N {\displaystyle N} and M {\displaystyle M} are said to be amicable pairs if N ≠ M {\displaystyle N\neq M} and the sum of the proper divisors of N {\displaystyle N} ( s u m ( p r o p D i v s ( N ) ) {\displaystyle \mathrm {sum} (\mathrm {propDivs} (N))} ) = M ...
#Draco
Draco
/* Fill a given array such that for each N, * P[n] is the sum of proper divisors of N */ proc nonrec propdivs([*] word p) void: word i, j, max; max := dim(p,1)-1; for i from 0 upto max do p[i] := 0 od; for i from 1 upto max/2 do for j from i*2 by i upto max do p[j] := p[j] + i ...
http://rosettacode.org/wiki/Animation
Animation
Animation is integral to many parts of GUIs, including both the fancy effects when things change used in window managers, and of course games.   The core of any animation system is a scheme for periodically changing the display while still remaining responsive to the user.   This task demonstrates this. Task Creat...
#Julia
Julia
  using Tk   const frameinterval = 0.12 # partial seconds between change on screen display   function windowanim(stepinterval::Float64) wind = Window("Animation", 300, 100) frm = Frame(wind) hello = "Hello World! " but = Button(frm, width=30, text=hello) rig...
http://rosettacode.org/wiki/Animation
Animation
Animation is integral to many parts of GUIs, including both the fancy effects when things change used in window managers, and of course games.   The core of any animation system is a scheme for periodically changing the display while still remaining responsive to the user.   This task demonstrates this. Task Creat...
#Kotlin
Kotlin
// version 1.1.0   import java.awt.Dimension import java.awt.event.MouseAdapter import java.awt.event.MouseEvent import java.util.* import javax.swing.JFrame import javax.swing.JLabel   class Rotate : JFrame() { val text = "Hello World! " val label = JLabel(text) var rotRight = true var startIdx = 0   ...
http://rosettacode.org/wiki/Animate_a_pendulum
Animate a pendulum
One good way of making an animation is by simulating a physical system and illustrating the variables in that system using a dynamically changing graphical display. The classic such physical system is a simple gravity pendulum. Task Create a simple physical model of a pendulum and animate it.
#F.23
F#
open System open System.Drawing open System.Windows.Forms   // define units of measurement [<Measure>] type m; // metres [<Measure>] type s; // seconds   // a pendulum is represented as a record of physical quantities type Pendulum = { length  : float<m> gravity  : float<m/s^2> velocity : float<m/s> angle ...
http://rosettacode.org/wiki/Almkvist-Giullera_formula_for_pi
Almkvist-Giullera formula for pi
The Almkvist-Giullera formula for calculating   1/π2   is based on the Calabi-Yau differential equations of order 4 and 5,   which were originally used to describe certain manifolds in string theory. The formula is: 1/π2 = (25/3) ∑0∞ ((6n)! / (n!6))(532n2 + 126n + 9) / 10002n+1 This formula can be used to calcul...
#Go
Go
package main   import ( "fmt" "math/big" "strings" )   func factorial(n int64) *big.Int { var z big.Int return z.MulRange(1, n) }   var one = big.NewInt(1) var three = big.NewInt(3) var six = big.NewInt(6) var ten = big.NewInt(10) var seventy = big.NewInt(70)   func almkvistGiullera(n int64, print b...
http://rosettacode.org/wiki/Almost_prime
Almost prime
A   k-Almost-prime   is a natural number   n {\displaystyle n}   that is the product of   k {\displaystyle k}   (possibly identical) primes. Example 1-almost-primes,   where   k = 1 {\displaystyle k=1} ,   are the prime numbers themselves. 2-almost-primes,   where   k = 2 {\displaystyl...
#ALGOL_68
ALGOL 68
BEGIN INT examples=10, classes=5; MODE SEMIPRIME = STRUCT ([examples]INT data, INT count); [classes]SEMIPRIME semi primes; PROC num facs = (INT n) INT : COMMENT Return number of not necessarily distinct prime factors of n. Not very efficient for large n ... COMMENT BEGIN INT tf := 2, residue ...
http://rosettacode.org/wiki/Angle_difference_between_two_bearings
Angle difference between two bearings
Finding the angle between two bearings is often confusing.[1] Task Find the angle which is the result of the subtraction b2 - b1, where b1 and b2 are the bearings. Input bearings are expressed in the range   -180   to   +180   degrees. The  result  is also expressed in the range   -180   to   +180   degrees. ...
#Fortran
Fortran
SUBROUTINE BDIFF (B1,B2) !Difference B2 - B1, as bearings. All in degrees, not radians. REAL*8 B1,B2 !Maximum precision, for large-angle folding. COMPLEX*16 CIS,Z1,Z2,Z !Scratchpads. CIS(T) = CMPLX(COSD(T),SIND(T)) !Convert an angle into a unit vector. Z1 = CIS(90 - B1) !Bearings run ...
http://rosettacode.org/wiki/Anagrams/Deranged_anagrams
Anagrams/Deranged anagrams
Two or more words are said to be anagrams if they have the same characters, but in a different order. By analogy with derangements we define a deranged anagram as two words with the same characters, but in which the same character does not appear in the same position in both words. Task[edit] Use the word list at uni...
#Java
Java
import java.io.File; import java.io.IOException; import java.nio.file.Files; import java.util.ArrayList; import java.util.Arrays; import java.util.Comparator; import java.util.HashMap; import java.util.List; import java.util.Map;   public class DerangedAnagrams {   public static void main(String[] args) throws IOEx...
http://rosettacode.org/wiki/Anonymous_recursion
Anonymous recursion
While implementing a recursive function, it often happens that we must resort to a separate   helper function   to handle the actual recursion. This is usually the case when directly calling the current function would waste too many resources (stack space, execution time), causing unwanted side-effects,   and/or the f...
#Go
Go
package main   import "fmt"   func main() { for _, n := range []int{0, 1, 2, 3, 4, 5, 10, 40, -1} { f, ok := arFib(n) if ok { fmt.Printf("fib %d = %d\n", n, f) } else { fmt.Println("fib undefined for negative numbers") } } }   func arFib(n int) (int, bool)...
http://rosettacode.org/wiki/Angles_(geometric),_normalization_and_conversion
Angles (geometric), normalization and conversion
This task is about the normalization and/or conversion of (geometric) angles using some common scales. The angular scales that will be used in this task are:   degree   gradian   mil   radian Definitions The angular scales used or referenced here:   turn   is a full turn or 360 degrees, also shown as 360º ...
#Ruby
Ruby
module Angles BASES = {"d" => 360, "g" => 400, "m" => 6400, "r" => Math::PI*2 ,"h" => 24 }   def self.method_missing(meth, angle) from, to = BASES.values_at(*meth.to_s.split("2")) raise NoMethodError, meth if (from.nil? or to.nil?) mod = (angle.to_f * to / from) % to angle < 0 ? mod - to : mod end...
http://rosettacode.org/wiki/Amicable_pairs
Amicable pairs
Two integers N {\displaystyle N} and M {\displaystyle M} are said to be amicable pairs if N ≠ M {\displaystyle N\neq M} and the sum of the proper divisors of N {\displaystyle N} ( s u m ( p r o p D i v s ( N ) ) {\displaystyle \mathrm {sum} (\mathrm {propDivs} (N))} ) = M ...
#EchoLisp
EchoLisp
  ;; using (sum-divisors) from math.lib   (lib 'math) (define (amicable N) (define n 0) (for/list ((m (in-range 2 N))) (set! n (sum-divisors m)) #:continue (>= n (* 1.5 m)) ;; assume n/m < 1.5 #:continue (<= n m) ;; prevent perfect numbers #:continue (!= (sum-divisors n) m) (cons m n)))   (amicable 20000) ...
http://rosettacode.org/wiki/Animation
Animation
Animation is integral to many parts of GUIs, including both the fancy effects when things change used in window managers, and of course games.   The core of any animation system is a scheme for periodically changing the display while still remaining responsive to the user.   This task demonstrates this. Task Creat...
#LabVIEW
LabVIEW
txt$ = "Hello World! " txtLength = len(txt$) direction=1   NoMainWin   open "Rosetta Task: Animation" for graphics_nsb as #demo #demo "Trapclose [quit]" #demo "down" #demo "Font Verdana 20 Bold" #demo "When leftButtonUp [changedirection]"   timer 150 , [draw] wait   [draw] ...
http://rosettacode.org/wiki/Animate_a_pendulum
Animate a pendulum
One good way of making an animation is by simulating a physical system and illustrating the variables in that system using a dynamically changing graphical display. The classic such physical system is a simple gravity pendulum. Task Create a simple physical model of a pendulum and animate it.
#Factor
Factor
USING: accessors alarms arrays calendar colors.constants kernel locals math math.constants math.functions math.rectangles math.vectors opengl sequences system ui ui.gadgets ui.render ; IN: pendulum   CONSTANT: g 9.81 CONSTANT: l 20 CONSTANT: theta0 0.5   : current-time ( -- time ) nano-count -9 10^ * ;   : T0 ( -- T0 )...
http://rosettacode.org/wiki/Almkvist-Giullera_formula_for_pi
Almkvist-Giullera formula for pi
The Almkvist-Giullera formula for calculating   1/π2   is based on the Calabi-Yau differential equations of order 4 and 5,   which were originally used to describe certain manifolds in string theory. The formula is: 1/π2 = (25/3) ∑0∞ ((6n)! / (n!6))(532n2 + 126n + 9) / 10002n+1 This formula can be used to calcul...
#Haskell
Haskell
import Control.Monad import Data.Number.CReal import GHC.Integer import Text.Printf   iterations = 52 main = do printf "N. %44s %4s %s\n" "Integral part of Nth term" "×10^" "=Actual value of Nth term"   forM_ [0..9] $ \n -> printf "%d. %44d %4d %s\n" n (almkvistGiullera...
http://rosettacode.org/wiki/Almost_prime
Almost prime
A   k-Almost-prime   is a natural number   n {\displaystyle n}   that is the product of   k {\displaystyle k}   (possibly identical) primes. Example 1-almost-primes,   where   k = 1 {\displaystyle k=1} ,   are the prime numbers themselves. 2-almost-primes,   where   k = 2 {\displaystyl...
#ALGOL-M
ALGOL-M
begin   integer function mod(a, b); integer a, b; mod := a-(a/b)*b;   integer function kprime(n, k); integer n, k; begin integer p, f; f := 0; p := 2; while f < k and p*p <= n do begin while mod(n,p) = 0 do begin n := n / p; f := f + 1; end; p ...
http://rosettacode.org/wiki/Angle_difference_between_two_bearings
Angle difference between two bearings
Finding the angle between two bearings is often confusing.[1] Task Find the angle which is the result of the subtraction b2 - b1, where b1 and b2 are the bearings. Input bearings are expressed in the range   -180   to   +180   degrees. The  result  is also expressed in the range   -180   to   +180   degrees. ...
#FreeBASIC
FreeBASIC
' version 28-01-2019 ' compile with: fbc -s console   #Include "string.bi"   Function frmt(num As Double) As String   Dim As String temp = Format(num, "#######.#############") Dim As Integer i = Len(temp) -1   If temp[i] = Asc(".") Then temp[i] = 32 If InStr(temp, ".") = 0 Then Return Right(Spac...
http://rosettacode.org/wiki/Anagrams/Deranged_anagrams
Anagrams/Deranged anagrams
Two or more words are said to be anagrams if they have the same characters, but in a different order. By analogy with derangements we define a deranged anagram as two words with the same characters, but in which the same character does not appear in the same position in both words. Task[edit] Use the word list at uni...
#JavaScript
JavaScript
#!/usr/bin/env js   function main() { var wordList = read('unixdict.txt').split(/\s+/); var anagrams = findAnagrams(wordList); var derangedAnagrams = findDerangedAnagrams(anagrams); var longestPair = findLongestDerangedPair(derangedAnagrams); print(longestPair.join(' '));   }   function findLongestD...
http://rosettacode.org/wiki/Anonymous_recursion
Anonymous recursion
While implementing a recursive function, it often happens that we must resort to a separate   helper function   to handle the actual recursion. This is usually the case when directly calling the current function would waste too many resources (stack space, execution time), causing unwanted side-effects,   and/or the f...
#Groovy
Groovy
def fib = { assert it > -1 {i -> i < 2 ? i : {j -> owner.call(j)}(i-1) + {k -> owner.call(k)}(i-2)}(it) }
http://rosettacode.org/wiki/Angles_(geometric),_normalization_and_conversion
Angles (geometric), normalization and conversion
This task is about the normalization and/or conversion of (geometric) angles using some common scales. The angular scales that will be used in this task are:   degree   gradian   mil   radian Definitions The angular scales used or referenced here:   turn   is a full turn or 360 degrees, also shown as 360º ...
#Rust
Rust
use std::{ marker::PhantomData, f64::consts::PI, };   pub trait AngleUnit: Copy { const TURN: f64; const NAME: &'static str; }   macro_rules! unit { ($name:ident, $value:expr, $string:expr) => ( #[derive(Debug, Copy, Clone)] struct $name; impl AngleUnit for $name { ...
http://rosettacode.org/wiki/Angles_(geometric),_normalization_and_conversion
Angles (geometric), normalization and conversion
This task is about the normalization and/or conversion of (geometric) angles using some common scales. The angular scales that will be used in this task are:   degree   gradian   mil   radian Definitions The angular scales used or referenced here:   turn   is a full turn or 360 degrees, also shown as 360º ...
#Swift
Swift
import Foundation   func normalize(_ f: Double, N: Double) -> Double { var a = f   while a < -N { a += N } while a >= N { a -= N }   return a }   func normalizeToDeg(_ f: Double) -> Double { return normalize(f, N: 360) }   func normalizeToGrad(_ f: Double) -> Double { return normalize(f, N: 400) }   func no...
http://rosettacode.org/wiki/Amicable_pairs
Amicable pairs
Two integers N {\displaystyle N} and M {\displaystyle M} are said to be amicable pairs if N ≠ M {\displaystyle N\neq M} and the sum of the proper divisors of N {\displaystyle N} ( s u m ( p r o p D i v s ( N ) ) {\displaystyle \mathrm {sum} (\mathrm {propDivs} (N))} ) = M ...
#Ela
Ela
open monad io number list   divisors n = filter ((0 ==) << (n `mod`)) [1..(n `div` 2)] range = [1 .. 20000] divs = zip range $ map (sum << divisors) range pairs = [(n, m) \\ (n, nd) <- divs, (m, md) <- divs | n < m && nd == m && md == n]   do putLn pairs ::: IO
http://rosettacode.org/wiki/Animation
Animation
Animation is integral to many parts of GUIs, including both the fancy effects when things change used in window managers, and of course games.   The core of any animation system is a scheme for periodically changing the display while still remaining responsive to the user.   This task demonstrates this. Task Creat...
#Liberty_BASIC
Liberty BASIC
txt$ = "Hello World! " txtLength = len(txt$) direction=1   NoMainWin   open "Rosetta Task: Animation" for graphics_nsb as #demo #demo "Trapclose [quit]" #demo "down" #demo "Font Verdana 20 Bold" #demo "When leftButtonUp [changedirection]"   timer 150 , [draw] wait   [draw] ...
http://rosettacode.org/wiki/Animate_a_pendulum
Animate a pendulum
One good way of making an animation is by simulating a physical system and illustrating the variables in that system using a dynamically changing graphical display. The classic such physical system is a simple gravity pendulum. Task Create a simple physical model of a pendulum and animate it.
#FBSL
FBSL
#INCLUDE <Include\Windows.inc>   FBSLSETTEXT(ME, "Pendulum") FBSL.SETTIMER(ME, 1000, 10) RESIZE(ME, 0, 0, 300, 200) CENTER(ME) SHOW(ME)   BEGIN EVENTS SELECT CASE CBMSG CASE WM_TIMER ' Request redraw InvalidateRect(ME, NULL, FALSE) RETURN 0 CASE WM_PAINT Swing() CASE WM_CLOSE FBSL.KILLTIMER(ME, 10...
http://rosettacode.org/wiki/Almkvist-Giullera_formula_for_pi
Almkvist-Giullera formula for pi
The Almkvist-Giullera formula for calculating   1/π2   is based on the Calabi-Yau differential equations of order 4 and 5,   which were originally used to describe certain manifolds in string theory. The formula is: 1/π2 = (25/3) ∑0∞ ((6n)! / (n!6))(532n2 + 126n + 9) / 10002n+1 This formula can be used to calcul...
#J
J
  numerator =: monad define "0 (3 * (! x: y)^6) %~ 32 * (!6x*y) * (y*(126 + 532*y)) + 9x )   term =: numerator % 10x ^ 3 + 6&*   echo 'The first 10 numerators are:' echo ,. numerator i.10   echo '' echo 'The sum of the first 10 terms (pi^-2) is ', 0j15 ": +/ term i.10   heron =: [: -: ] + %   sqrt =: dyad define NB...
http://rosettacode.org/wiki/Almkvist-Giullera_formula_for_pi
Almkvist-Giullera formula for pi
The Almkvist-Giullera formula for calculating   1/π2   is based on the Calabi-Yau differential equations of order 4 and 5,   which were originally used to describe certain manifolds in string theory. The formula is: 1/π2 = (25/3) ∑0∞ ((6n)! / (n!6))(532n2 + 126n + 9) / 10002n+1 This formula can be used to calcul...
#JavaScript
JavaScript
import esMain from 'es-main'; import { BigFloat, set_precision as SetPrecision } from 'bigfloat-esnext';   const Iterations = 52;   export const demo = function() { SetPrecision(-75); console.log("N." + "Integral part of Nth term".padStart(45) + " ×10^ =Actual value of Nth term"); for (let i=0; i<10; i++) { l...
http://rosettacode.org/wiki/Almost_prime
Almost prime
A   k-Almost-prime   is a natural number   n {\displaystyle n}   that is the product of   k {\displaystyle k}   (possibly identical) primes. Example 1-almost-primes,   where   k = 1 {\displaystyle k=1} ,   are the prime numbers themselves. 2-almost-primes,   where   k = 2 {\displaystyl...
#ALGOL_W
ALGOL W
begin logical procedure kPrime( integer value nv, k ) ; begin integer p, f, n; n := nv; f := 0; while f <= k and not odd( n ) do begin n := n div 2; f := f + 1 end while_not_odd_n ; p := 3; while f <= k and p * p <= n do begin ...
http://rosettacode.org/wiki/Almost_prime
Almost prime
A   k-Almost-prime   is a natural number   n {\displaystyle n}   that is the product of   k {\displaystyle k}   (possibly identical) primes. Example 1-almost-primes,   where   k = 1 {\displaystyle k=1} ,   are the prime numbers themselves. 2-almost-primes,   where   k = 2 {\displaystyl...
#APL
APL
f←{↑r⊣⍵∘{r,∘⊂←⍺↑∪{⍵[⍋⍵]},f∘.×⍵}⍣(⍺-1)⊃r←⊂f←pco¨⍳⍵}
http://rosettacode.org/wiki/Angle_difference_between_two_bearings
Angle difference between two bearings
Finding the angle between two bearings is often confusing.[1] Task Find the angle which is the result of the subtraction b2 - b1, where b1 and b2 are the bearings. Input bearings are expressed in the range   -180   to   +180   degrees. The  result  is also expressed in the range   -180   to   +180   degrees. ...
#Go
Go
package main   import "fmt"   type bearing float64   var testCases = []struct{ b1, b2 bearing }{ {20, 45}, {-45, 45}, {-85, 90}, {-95, 90}, {-45, 125}, {-45, 145}, {29.4803, -88.6381}, {-78.3251, -159.036}, }   func main() { for _, tc := range testCases { fmt.Println(tc.b2.Su...
http://rosettacode.org/wiki/Anagrams/Deranged_anagrams
Anagrams/Deranged anagrams
Two or more words are said to be anagrams if they have the same characters, but in a different order. By analogy with derangements we define a deranged anagram as two words with the same characters, but in which the same character does not appear in the same position in both words. Task[edit] Use the word list at uni...
#jq
jq
# Input: an array of strings # Output: a stream of arrays def anagrams: reduce .[] as $word ( {table: {}, max: 0}; # state ($word | explode | sort | implode) as $hash | .table[$hash] += [ $word ] | .max = ([ .max, ( .table[$hash] | length) ] | max ) ) | .table | .[] | select(length>1);   # Chec...
http://rosettacode.org/wiki/Anonymous_recursion
Anonymous recursion
While implementing a recursive function, it often happens that we must resort to a separate   helper function   to handle the actual recursion. This is usually the case when directly calling the current function would waste too many resources (stack space, execution time), causing unwanted side-effects,   and/or the f...
#Haskell
Haskell
fib :: Integer -> Maybe Integer fib n | n < 0 = Nothing | otherwise = Just $ real n where real 0 = 1 real 1 = 1 real n = real (n-1) + real (n-2)
http://rosettacode.org/wiki/Angles_(geometric),_normalization_and_conversion
Angles (geometric), normalization and conversion
This task is about the normalization and/or conversion of (geometric) angles using some common scales. The angular scales that will be used in this task are:   degree   gradian   mil   radian Definitions The angular scales used or referenced here:   turn   is a full turn or 360 degrees, also shown as 360º ...
#Vlang
Vlang
import math import strconv fn d2d(d f64) f64 { return math.mod(d, 360) } fn g2g(g f64) f64 { return math.mod(g, 400) } fn m2m(m f64) f64 { return math.mod(m, 6400) } fn r2r(r f64) f64 { return math.mod(r, 2*math.pi) } fn d2g(d f64) f64 { return d2d(d) * 400 / 360 } fn d2m(d f64) f64 { return d2d(d) * 6400 / 360 } fn d2...
http://rosettacode.org/wiki/Angles_(geometric),_normalization_and_conversion
Angles (geometric), normalization and conversion
This task is about the normalization and/or conversion of (geometric) angles using some common scales. The angular scales that will be used in this task are:   degree   gradian   mil   radian Definitions The angular scales used or referenced here:   turn   is a full turn or 360 degrees, also shown as 360º ...
#Wren
Wren
import "/fmt" for Fmt   var d2d = Fn.new { |d| d % 360 } var g2g = Fn.new { |g| g % 400 } var m2m = Fn.new { |m| m % 6400 } var r2r = Fn.new { |r| r % (2*Num.pi) } var d2g = Fn.new { |d| d2d.call(d) * 400 / 360 } var d2m = Fn.new { |d| d2d.call(d) * 6400 / 360 } var d2r = Fn.new { |d| d2d.call(d) * Num.pi / 180 } var g...
http://rosettacode.org/wiki/Amicable_pairs
Amicable pairs
Two integers N {\displaystyle N} and M {\displaystyle M} are said to be amicable pairs if N ≠ M {\displaystyle N\neq M} and the sum of the proper divisors of N {\displaystyle N} ( s u m ( p r o p D i v s ( N ) ) {\displaystyle \mathrm {sum} (\mathrm {propDivs} (N))} ) = M ...
#Elena
Elena
import extensions; import system'routines;   const int N = 20000;   extension op { ProperDivisors = Range.new(1,self / 2).filterBy:(n => self.mod:n == 0);   get AmicablePairs() { var divsums := Range .new(0, self + 1) .selectBy:(i => i.Proper...
http://rosettacode.org/wiki/Animation
Animation
Animation is integral to many parts of GUIs, including both the fancy effects when things change used in window managers, and of course games.   The core of any animation system is a scheme for periodically changing the display while still remaining responsive to the user.   This task demonstrates this. Task Creat...
#Logo
Logo
to rotate.left :thing output lput first :thing butfirst :thing end to rotate.right :thing output fput last :thing butlast :thing end   make "text "|Hello World! | make "right? "true   to step.animation label :text ; graphical  ; type char 13 type :text ; textual wait 6 ; 1/10 second if button <> 0 [make...
http://rosettacode.org/wiki/Animation
Animation
Animation is integral to many parts of GUIs, including both the fancy effects when things change used in window managers, and of course games.   The core of any animation system is a scheme for periodically changing the display while still remaining responsive to the user.   This task demonstrates this. Task Creat...
#Lua
Lua
function love.load() text = "Hello World! " length = string.len(text)     update_time = 0.3 timer = 0 right_direction = true     local width, height = love.graphics.getDimensions( )   local size = 100 local font = love.graphics.setNewFont( size ) local twidth = font:getWidth( text ) local theight = font:getHe...
http://rosettacode.org/wiki/Animate_a_pendulum
Animate a pendulum
One good way of making an animation is by simulating a physical system and illustrating the variables in that system using a dynamically changing graphical display. The classic such physical system is a simple gravity pendulum. Task Create a simple physical model of a pendulum and animate it.
#Fortran
Fortran
  !Implemented by Anant Dixit (October, 2014) program animated_pendulum implicit none double precision, parameter :: pi = 4.0D0*atan(1.0D0), l = 1.0D-1, dt = 1.0D-2, g = 9.8D0 integer :: io double precision :: s_ang, c_ang, p_ang, n_ang   write(*,*) 'Enter starting angle (in degrees):' do read(*,*,iostat=io) s_ang ...
http://rosettacode.org/wiki/Almkvist-Giullera_formula_for_pi
Almkvist-Giullera formula for pi
The Almkvist-Giullera formula for calculating   1/π2   is based on the Calabi-Yau differential equations of order 4 and 5,   which were originally used to describe certain manifolds in string theory. The formula is: 1/π2 = (25/3) ∑0∞ ((6n)! / (n!6))(532n2 + 126n + 9) / 10002n+1 This formula can be used to calcul...
#jq
jq
# A reminder to include the "rational" module: # include "rational";   def lpad($len): tostring | ($len - length) as $l | (" " * $l)[:$l] + .;   # To take advantage of gojq's arbitrary-precision integer arithmetic: def power($b): . as $in | reduce range(0;$b) as $i (1; . * $in);   def factorial: if . < 2 then 1 ...
http://rosettacode.org/wiki/Almkvist-Giullera_formula_for_pi
Almkvist-Giullera formula for pi
The Almkvist-Giullera formula for calculating   1/π2   is based on the Calabi-Yau differential equations of order 4 and 5,   which were originally used to describe certain manifolds in string theory. The formula is: 1/π2 = (25/3) ∑0∞ ((6n)! / (n!6))(532n2 + 126n + 9) / 10002n+1 This formula can be used to calcul...
#Julia
Julia
using Formatting   setprecision(BigFloat, 300)   function integerterm(n) p = BigInt(532) * n * n + BigInt(126) * n + 9 return (p * BigInt(2)^5 * factorial(BigInt(6) * n)) ÷ (3 * factorial(BigInt(n))^6) end   exponentterm(n) = -(6n + 3)   nthterm(n) = integerterm(n) * big"10.0"^exponentterm(n)   println(" N ...
http://rosettacode.org/wiki/Almkvist-Giullera_formula_for_pi
Almkvist-Giullera formula for pi
The Almkvist-Giullera formula for calculating   1/π2   is based on the Calabi-Yau differential equations of order 4 and 5,   which were originally used to describe certain manifolds in string theory. The formula is: 1/π2 = (25/3) ∑0∞ ((6n)! / (n!6))(532n2 + 126n + 9) / 10002n+1 This formula can be used to calcul...
#Mathematica.2FWolfram_Language
Mathematica/Wolfram Language
ClearAll[numerator, denominator] numerator[n_] := (2^5) ((6 n)!) (532 n^2 + 126 n + 9)/(3 (n!)^6) denominator[n_] := 10^(6 n + 3) numerator /@ Range[0, 9] val = 1/Sqrt[Total[numerator[#]/denominator[#] & /@ Range[0, 100]]]; N[val, 70]
http://rosettacode.org/wiki/Almost_prime
Almost prime
A   k-Almost-prime   is a natural number   n {\displaystyle n}   that is the product of   k {\displaystyle k}   (possibly identical) primes. Example 1-almost-primes,   where   k = 1 {\displaystyle k=1} ,   are the prime numbers themselves. 2-almost-primes,   where   k = 2 {\displaystyl...
#ARM_Assembly
ARM Assembly
  /* ARM assembly Raspberry PI */ /* program kprime.s */   /************************************/ /* Constantes */ /************************************/ .equ STDOUT, 1 @ Linux output console .equ EXIT, 1 @ Linux syscall .equ WRITE, 4 @ Linux syscall   .equ MAXI, 10 .equ MAXIK,...
http://rosettacode.org/wiki/Anagrams
Anagrams
When two or more words are composed of the same characters, but in a different order, they are called anagrams. Task[edit] Using the word list at   http://wiki.puzzlers.org/pub/wordlists/unixdict.txt, find the sets of words that share the same characters that contain the most words in them. Related tasks Word plays ...
#11l
11l
DefaultDict[String, Array[String]] anagram L(word) File(‘unixdict.txt’).read().split("\n") anagram[sorted(word).join(‘’)].append(word)   V count = max(anagram.values().map(ana -> ana.len))   L(ana) anagram.values() I ana.len == count print(ana)
http://rosettacode.org/wiki/Angle_difference_between_two_bearings
Angle difference between two bearings
Finding the angle between two bearings is often confusing.[1] Task Find the angle which is the result of the subtraction b2 - b1, where b1 and b2 are the bearings. Input bearings are expressed in the range   -180   to   +180   degrees. The  result  is also expressed in the range   -180   to   +180   degrees. ...
#Groovy
Groovy
def angleDifferenceA(double b1, double b2) { r = (b2 - b1) % 360.0 (r > 180.0 ? r - 360.0  : r <= -180.0 ? r + 360.0  : r) }
http://rosettacode.org/wiki/Anagrams/Deranged_anagrams
Anagrams/Deranged anagrams
Two or more words are said to be anagrams if they have the same characters, but in a different order. By analogy with derangements we define a deranged anagram as two words with the same characters, but in which the same character does not appear in the same position in both words. Task[edit] Use the word list at uni...
#Julia
Julia
using Base.isless # Let's define the less than operator for any two vectors that have the same type: # This does lexicographic comparison, we use it on vectors of chars in this task. function Base.isless(t1, t2) for (a, b) in zip(t1, t2) # zip only to the shorter length if !isequal(a, b) return ...
http://rosettacode.org/wiki/Anonymous_recursion
Anonymous recursion
While implementing a recursive function, it often happens that we must resort to a separate   helper function   to handle the actual recursion. This is usually the case when directly calling the current function would waste too many resources (stack space, execution time), causing unwanted side-effects,   and/or the f...
#Icon_and_Unicon
Icon and Unicon
procedure main(A) every write("fib(",a := numeric(!A),")=",fib(a)) end   procedure fib(n) local source, i static cache initial { cache := table() cache[0] := 0 cache[1] := 1 } if type(n) == "integer" & n >= 0 then return n @ makeProc {{ i := @(source := &source) ...
http://rosettacode.org/wiki/Angles_(geometric),_normalization_and_conversion
Angles (geometric), normalization and conversion
This task is about the normalization and/or conversion of (geometric) angles using some common scales. The angular scales that will be used in this task are:   degree   gradian   mil   radian Definitions The angular scales used or referenced here:   turn   is a full turn or 360 degrees, also shown as 360º ...
#XPL0
XPL0
def Pi = 3.14159265358979323846, N=12, Tab=9; func real D2D; real D; return Mod(D, 360.); func real G2G; real G; return Mod(G, 400.); func real M2M; real M; return Mod(M, 6400.); func real R2R; real R; return Mod(R, 2.*Pi); func real D2G; real D; return 400. * D2D(D) / 360.; func real D2M; real D; return 64...
http://rosettacode.org/wiki/Angles_(geometric),_normalization_and_conversion
Angles (geometric), normalization and conversion
This task is about the normalization and/or conversion of (geometric) angles using some common scales. The angular scales that will be used in this task are:   degree   gradian   mil   radian Definitions The angular scales used or referenced here:   turn   is a full turn or 360 degrees, also shown as 360º ...
#zkl
zkl
var [const] tau=(0.0).pi*2, units=Dictionary( // code:(name, units in circle) "d", T("degrees", 360.0), "g",T("gradians",400.0), "m", T("mills", 6400.0), "r",T("radians", tau) ), cvtNm="%s-->%s".fmt, cvt= // "d-->r":fcn(angle){}, "r-->d":fcn(angle){} ... Walker.cproduct(units.keys,units...
http://rosettacode.org/wiki/Amicable_pairs
Amicable pairs
Two integers N {\displaystyle N} and M {\displaystyle M} are said to be amicable pairs if N ≠ M {\displaystyle N\neq M} and the sum of the proper divisors of N {\displaystyle N} ( s u m ( p r o p D i v s ( N ) ) {\displaystyle \mathrm {sum} (\mathrm {propDivs} (N))} ) = M ...
#Elixir
Elixir
defmodule Proper do def divisors(1), do: [] def divisors(n), do: [1 | divisors(2,n,:math.sqrt(n))] |> Enum.sort   defp divisors(k,_n,q) when k>q, do: [] defp divisors(k,n,q) when rem(n,k)>0, do: divisors(k+1,n,q) defp divisors(k,n,q) when k * k == n, do: [k | divisors(k+1,n,q)] defp divisors(k,n,q) ...
http://rosettacode.org/wiki/Animation
Animation
Animation is integral to many parts of GUIs, including both the fancy effects when things change used in window managers, and of course games.   The core of any animation system is a scheme for periodically changing the display while still remaining responsive to the user.   This task demonstrates this. Task Creat...
#M2000_Interpreter
M2000 Interpreter
  Module UseBlink { Def boolean direction=True rotating$ =lambda$ a$="Hello World! " (direction as boolean)->{ =a$ a$=if$(direction->right$(a$,1)+mid$(a$,1, len(a$)-1), mid$(a$,2)+left$(a$,1)) } Declare MyForm Form Declare MyButton Button Form MyForm With My...
http://rosettacode.org/wiki/Animation
Animation
Animation is integral to many parts of GUIs, including both the fancy effects when things change used in window managers, and of course games.   The core of any animation system is a scheme for periodically changing the display while still remaining responsive to the user.   This task demonstrates this. Task Creat...
#Maple
Maple
  ScrollText(GP("Text",value),"Forward",65);  
http://rosettacode.org/wiki/Animate_a_pendulum
Animate a pendulum
One good way of making an animation is by simulating a physical system and illustrating the variables in that system using a dynamically changing graphical display. The classic such physical system is a simple gravity pendulum. Task Create a simple physical model of a pendulum and animate it.
#Groovy
Groovy
  import java.awt.*; import javax.swing.*;   class Pendulum extends JPanel implements Runnable {   private angle = Math.PI / 2; private length;   Pendulum(length) { this.length = length; setDoubleBuffered(true); }   @Override void paint(Graphics g) { g.setColor(Color.WHIT...
http://rosettacode.org/wiki/Almkvist-Giullera_formula_for_pi
Almkvist-Giullera formula for pi
The Almkvist-Giullera formula for calculating   1/π2   is based on the Calabi-Yau differential equations of order 4 and 5,   which were originally used to describe certain manifolds in string theory. The formula is: 1/π2 = (25/3) ∑0∞ ((6n)! / (n!6))(532n2 + 126n + 9) / 10002n+1 This formula can be used to calcul...
#Nim
Nim
import strformat, strutils import decimal   proc fact(n: int): DecimalType = result = newDecimal(1) if n < 2: return for i in 2..n: result *= i   proc almkvistGiullera(n: int): DecimalType = ## Return the integer portion of the nth term of Almkvist-Giullera sequence. let t1 = fact(6 * n) * 32 let t2 = 5...
http://rosettacode.org/wiki/Almkvist-Giullera_formula_for_pi
Almkvist-Giullera formula for pi
The Almkvist-Giullera formula for calculating   1/π2   is based on the Calabi-Yau differential equations of order 4 and 5,   which were originally used to describe certain manifolds in string theory. The formula is: 1/π2 = (25/3) ∑0∞ ((6n)! / (n!6))(532n2 + 126n + 9) / 10002n+1 This formula can be used to calcul...
#Perl
Perl
use strict; use warnings; use feature qw(say); use Math::AnyNum qw(:overload factorial);   sub almkvist_giullera_integral { my($n) = @_; (32 * (14*$n * (38*$n + 9) + 9) * factorial(6*$n)) / (3*factorial($n)**6); }   sub almkvist_giullera { my($n) = @_; almkvist_giullera_integral($n) / (10**(6*$n + 3)); ...
http://rosettacode.org/wiki/Almost_prime
Almost prime
A   k-Almost-prime   is a natural number   n {\displaystyle n}   that is the product of   k {\displaystyle k}   (possibly identical) primes. Example 1-almost-primes,   where   k = 1 {\displaystyle k=1} ,   are the prime numbers themselves. 2-almost-primes,   where   k = 2 {\displaystyl...
#Arturo
Arturo
almostPrime: function [k, listLen][ result: new [] test: 2 c: 0   while [c < listLen][ i: 2 m: 0 n: test   while [i =< n][ if? zero? n % i [ n: n / i m: m + 1 ] else -> i: i + 1 ] if m = k...
http://rosettacode.org/wiki/Anagrams
Anagrams
When two or more words are composed of the same characters, but in a different order, they are called anagrams. Task[edit] Using the word list at   http://wiki.puzzlers.org/pub/wordlists/unixdict.txt, find the sets of words that share the same characters that contain the most words in them. Related tasks Word plays ...
#8th
8th
  \ \ anagrams.8th \ Rosetta Code - Anagrams problem \ Using the word list at: \ http://wiki.puzzlers.org/pub/wordlists/unixdict.txt, \ find the sets of words that share the same characters \ that contain the most words in them. \   ns: anagrams   m:new var, anamap a:new var, anaptr 0 var, analen   \ sort a string ...
http://rosettacode.org/wiki/Angle_difference_between_two_bearings
Angle difference between two bearings
Finding the angle between two bearings is often confusing.[1] Task Find the angle which is the result of the subtraction b2 - b1, where b1 and b2 are the bearings. Input bearings are expressed in the range   -180   to   +180   degrees. The  result  is also expressed in the range   -180   to   +180   degrees. ...
#Haskell
Haskell
import Control.Monad (join) import Data.Bifunctor (bimap) import Text.Printf (printf)   type Radians = Float   type Degrees = Float   ---------- ANGLE DIFFERENCE BETWEEN TWO BEARINGS ---------   bearingDelta :: (Radians, Radians) -> Radians bearingDelta (a, b) -- sign * dot-product = sign * acos ((ax * bx) + (ay * ...
http://rosettacode.org/wiki/Anagrams/Deranged_anagrams
Anagrams/Deranged anagrams
Two or more words are said to be anagrams if they have the same characters, but in a different order. By analogy with derangements we define a deranged anagram as two words with the same characters, but in which the same character does not appear in the same position in both words. Task[edit] Use the word list at uni...
#K
K
/ anagram clusters a:{x g@&1<#:'g:={x@<x}'x}@0:"unixdict.txt";   / derangements in these clusters b@&c=|/c:{#x[0]}'b:a@&{0=+//{x=y}':x}'a ("excitation" "intoxicate")
http://rosettacode.org/wiki/Anonymous_recursion
Anonymous recursion
While implementing a recursive function, it often happens that we must resort to a separate   helper function   to handle the actual recursion. This is usually the case when directly calling the current function would waste too many resources (stack space, execution time), causing unwanted side-effects,   and/or the f...
#Io
Io
fib := method(x, if(x < 0, Exception raise("Negative argument not allowed!")) fib2 := method(n, if(n < 2, n, fib2(n-1) + fib2(n-2)) ) fib2(x floor) )
http://rosettacode.org/wiki/Amicable_pairs
Amicable pairs
Two integers N {\displaystyle N} and M {\displaystyle M} are said to be amicable pairs if N ≠ M {\displaystyle N\neq M} and the sum of the proper divisors of N {\displaystyle N} ( s u m ( p r o p D i v s ( N ) ) {\displaystyle \mathrm {sum} (\mathrm {propDivs} (N))} ) = M ...
#Erlang
Erlang
  -module(properdivs). -export([amicable/1,divs/1,sumdivs/1]).   amicable(Limit) -> amicable(Limit,[],3,2).   amicable(Limit,List,_Current,Acc) when Acc >= Limit -> List; amicable(Limit,List,Curre...
http://rosettacode.org/wiki/Animation
Animation
Animation is integral to many parts of GUIs, including both the fancy effects when things change used in window managers, and of course games.   The core of any animation system is a scheme for periodically changing the display while still remaining responsive to the user.   This task demonstrates this. Task Creat...
#Mathematica_.2F_Wolfram_Language
Mathematica / Wolfram Language
mystring = "Hello World! "; Scroll[str_, dir_] := StringJoin @@ RotateLeft[str // Characters, dir]; GiveString[dir_] := (mystring = Scroll[mystring, dir]); CreateDialog[{ DynamicModule[{direction = -1}, EventHandler[ Dynamic[TextCell[ Refresh[GiveString[direction], UpdateInterval -> 1/8]], Tr...
http://rosettacode.org/wiki/Animation
Animation
Animation is integral to many parts of GUIs, including both the fancy effects when things change used in window managers, and of course games.   The core of any animation system is a scheme for periodically changing the display while still remaining responsive to the user.   This task demonstrates this. Task Creat...
#MAXScript
MAXScript
  try destroydialog animGUI catch ()   global userDirection = "right"   fn reverseStr str: direction: = ( local lastChar = str[str.count] local firstChar = str[1] local newStr = "" local dir   if direction == unsupplied then dir = "left" else dir = direction   case dir of ( "right": (newstr = lastChar + (subs...
http://rosettacode.org/wiki/Animate_a_pendulum
Animate a pendulum
One good way of making an animation is by simulating a physical system and illustrating the variables in that system using a dynamically changing graphical display. The classic such physical system is a simple gravity pendulum. Task Create a simple physical model of a pendulum and animate it.
#Go
Go
package main   import ( "github.com/google/gxui" "github.com/google/gxui/drivers/gl" "github.com/google/gxui/math" "github.com/google/gxui/themes/dark" omath "math" "time" )   //Two pendulums animated //Top: Mathematical pendulum with small-angle approxmiation (not appropiate with PHI_ZERO=pi/2) //Bottom: Simulat...
http://rosettacode.org/wiki/Almkvist-Giullera_formula_for_pi
Almkvist-Giullera formula for pi
The Almkvist-Giullera formula for calculating   1/π2   is based on the Calabi-Yau differential equations of order 4 and 5,   which were originally used to describe certain manifolds in string theory. The formula is: 1/π2 = (25/3) ∑0∞ ((6n)! / (n!6))(532n2 + 126n + 9) / 10002n+1 This formula can be used to calcul...
#Phix
Phix
with javascript_semantics requires("1.0.0") include mpfr.e mpfr_set_default_precision(-70) function almkvistGiullera(integer n, bool bPrint) mpz {t1,t2,ip} = mpz_inits(3) mpz_fac_ui(t1,6*n) mpz_mul_si(t1,t1,32) -- t1:=2^5*(6n)! mpz_fac_ui(t2,n) mpz_pow_ui(t2,t2,6) mpz_mul_si(t...
http://rosettacode.org/wiki/Almost_prime
Almost prime
A   k-Almost-prime   is a natural number   n {\displaystyle n}   that is the product of   k {\displaystyle k}   (possibly identical) primes. Example 1-almost-primes,   where   k = 1 {\displaystyle k=1} ,   are the prime numbers themselves. 2-almost-primes,   where   k = 2 {\displaystyl...
#ASIC
ASIC
  REM Almost prime FOR K = 1 TO 5 S$ = STR$(K) S$ = LTRIM$(S$) S$ = "k = " + S$ S$ = S$ + ":" PRINT S$; I = 2 C = 0 WHILE C < 10 AN = I GOSUB CHECKKPRIME: IF ISKPRIME <> 0 THEN PRINT I; C = C + 1 ENDIF I = I + 1 WEND PRINT NEXT K END   CHECKKPRIME: REM Check if N (AN)...
http://rosettacode.org/wiki/Almost_prime
Almost prime
A   k-Almost-prime   is a natural number   n {\displaystyle n}   that is the product of   k {\displaystyle k}   (possibly identical) primes. Example 1-almost-primes,   where   k = 1 {\displaystyle k=1} ,   are the prime numbers themselves. 2-almost-primes,   where   k = 2 {\displaystyl...
#AutoHotkey
AutoHotkey
kprime(n,k) { p:=2, f:=0 while( (f<k) && (p*p<=n) ) { while ( 0==mod(n,p) ) { n/=p f++ } p++ } return f + (n>1) == k }   k:=1, results:="" while( k<=5 ) { i:=2, c:=0, results:=results "k =" k ":" while( c<10 ) { if (kprime(i,k)) { results:=results " " i c++ } i++ } results:=results "`n" ...
http://rosettacode.org/wiki/Anagrams
Anagrams
When two or more words are composed of the same characters, but in a different order, they are called anagrams. Task[edit] Using the word list at   http://wiki.puzzlers.org/pub/wordlists/unixdict.txt, find the sets of words that share the same characters that contain the most words in them. Related tasks Word plays ...
#AArch64_Assembly
AArch64 Assembly
  /* ARM assembly AARCH64 Raspberry PI 3B */ /* program anagram64.s */   /*******************************************/ /* Constantes file */ /*******************************************/ /* for this file see task include a file in language AArch64 assembly*/ .include "../includeConstantesARM6...
http://rosettacode.org/wiki/Angle_difference_between_two_bearings
Angle difference between two bearings
Finding the angle between two bearings is often confusing.[1] Task Find the angle which is the result of the subtraction b2 - b1, where b1 and b2 are the bearings. Input bearings are expressed in the range   -180   to   +180   degrees. The  result  is also expressed in the range   -180   to   +180   degrees. ...
#IS-BASIC
IS-BASIC
100 INPUT PROMPT "1. angle: ":A1 110 INPUT PROMPT "2. angle: ":A2 120 LET B=MOD(A2-A1,360) 130 IF B>180 THEN LET B=B-360 140 IF B<-180 THEN LET B=B+360 150 PRINT "Difference: ";B
http://rosettacode.org/wiki/Anagrams/Deranged_anagrams
Anagrams/Deranged anagrams
Two or more words are said to be anagrams if they have the same characters, but in a different order. By analogy with derangements we define a deranged anagram as two words with the same characters, but in which the same character does not appear in the same position in both words. Task[edit] Use the word list at uni...
#Kotlin
Kotlin
// version 1.0.6   import java.io.BufferedReader import java.io.InputStreamReader import java.net.URL   fun isDeranged(s1: String, s2: String): Boolean { return (0 until s1.length).none { s1[it] == s2[it] } }   fun main(args: Array<String>) { val url = URL("http://www.puzzlers.org/pub/wordlists/unixdict.txt") ...
http://rosettacode.org/wiki/Anonymous_recursion
Anonymous recursion
While implementing a recursive function, it often happens that we must resort to a separate   helper function   to handle the actual recursion. This is usually the case when directly calling the current function would waste too many resources (stack space, execution time), causing unwanted side-effects,   and/or the f...
#IS-BASIC
IS-BASIC
100 PROGRAM "Fibonacc.bas" 110 FOR I=0 TO 10 120 PRINT FIB(I); 130 NEXT 140 DEF FIB(K) 150 SELECT CASE K 160 CASE IS<0 170 PRINT "Negative parameter to Fibonacci.":STOP 180 CASE 0 190 LET FIB=0 200 CASE 1 210 LET FIB=1 220 CASE ELSE 230 LET FIB=FIB(K-1)+FIB(K-2) 240 END SELECT 250 END DE...
http://rosettacode.org/wiki/Amicable_pairs
Amicable pairs
Two integers N {\displaystyle N} and M {\displaystyle M} are said to be amicable pairs if N ≠ M {\displaystyle N\neq M} and the sum of the proper divisors of N {\displaystyle N} ( s u m ( p r o p D i v s ( N ) ) {\displaystyle \mathrm {sum} (\mathrm {propDivs} (N))} ) = M ...
#ERRE
ERRE
PROGRAM AMICABLE   CONST LIMIT=20000   PROCEDURE SUMPROP(NUM->M) IF NUM<2 THEN M=0 EXIT PROCEDURE SUM=1 ROOT=SQR(NUM) FOR I=2 TO ROOT-1 DO IF (NUM=I*INT(NUM/I)) THEN SUM=SUM+I+NUM/I END IF IF (NUM=ROOT*INT(NUM/ROOT)) THEN SUM=SUM+ROOT END IF END FOR M=SUM END PROCEDURE ...
http://rosettacode.org/wiki/Animation
Animation
Animation is integral to many parts of GUIs, including both the fancy effects when things change used in window managers, and of course games.   The core of any animation system is a scheme for periodically changing the display while still remaining responsive to the user.   This task demonstrates this. Task Creat...
#MiniScript
MiniScript
clear text.inverse = true s = "Hello World! " while not key.available text.row = 12 text.column = 15 print " " + s + " " wait 0.1 s = s[-1] + s[:-1] end while text.inverse = false key.clear
http://rosettacode.org/wiki/Animation
Animation
Animation is integral to many parts of GUIs, including both the fancy effects when things change used in window managers, and of course games.   The core of any animation system is a scheme for periodically changing the display while still remaining responsive to the user.   This task demonstrates this. Task Creat...
#Nim
Nim
import gintro/[glib, gobject, gdk, gtk, gio]   type   # Scrolling direction. ScrollDirection = enum toLeft, toRight   # Data transmitted to update callback. UpdateData = ref object label: Label scrollDir: ScrollDirection   #--------------------------------------------------------------------------------...
http://rosettacode.org/wiki/Animate_a_pendulum
Animate a pendulum
One good way of making an animation is by simulating a physical system and illustrating the variables in that system using a dynamically changing graphical display. The classic such physical system is a simple gravity pendulum. Task Create a simple physical model of a pendulum and animate it.
#Haskell
Haskell
import Graphics.HGL.Draw.Monad (Graphic, ) import Graphics.HGL.Draw.Picture import Graphics.HGL.Utils import Graphics.HGL.Window import Graphics.HGL.Run   import Control.Exception (bracket, ) import Control.Arrow   toInt = fromIntegral.round   pendulum = runGraphics $ bracket (openWindowEx "Pendulum animation tas...
http://rosettacode.org/wiki/Almkvist-Giullera_formula_for_pi
Almkvist-Giullera formula for pi
The Almkvist-Giullera formula for calculating   1/π2   is based on the Calabi-Yau differential equations of order 4 and 5,   which were originally used to describe certain manifolds in string theory. The formula is: 1/π2 = (25/3) ∑0∞ ((6n)! / (n!6))(532n2 + 126n + 9) / 10002n+1 This formula can be used to calcul...
#PicoLisp
PicoLisp
(scl 70) (de fact (N) (if (=0 N) 1 (* N (fact (dec N))) ) ) (de almkvist (N) (let (A (* 32 (fact (* 6 N))) B (+ (* 532 N N) (* 126 N) 9) C (* (** (fact N) 6) 3) ) (/ (* A B) C) ) ) (de integral (N) (*/ 1.0 (almkvist N) (** 10 (+ 3 (* 6 N))) ) ) (let (...
http://rosettacode.org/wiki/Almkvist-Giullera_formula_for_pi
Almkvist-Giullera formula for pi
The Almkvist-Giullera formula for calculating   1/π2   is based on the Calabi-Yau differential equations of order 4 and 5,   which were originally used to describe certain manifolds in string theory. The formula is: 1/π2 = (25/3) ∑0∞ ((6n)! / (n!6))(532n2 + 126n + 9) / 10002n+1 This formula can be used to calcul...
#Python
Python
import mpmath as mp   with mp.workdps(72):   def integer_term(n): p = 532 * n * n + 126 * n + 9 return (p * 2**5 * mp.factorial(6 * n)) / (3 * mp.factorial(n)**6)   def exponent_term(n): return -(mp.mpf("6.0") * n + 3)   def nthterm(n): return integer_term(n) * mp.mpf("10.0")...
http://rosettacode.org/wiki/Amb
Amb
Define and give an example of the Amb operator. The Amb operator (short for "ambiguous") expresses nondeterminism. This doesn't refer to randomness (as in "nondeterministic universe") but is closely related to the term as it is used in automata theory ("non-deterministic finite automaton"). The Amb operator takes a v...
#11l
11l
F amb(comp, options, prev = ‘’) -> Array[String] I options.empty R []   L(opt) options[0] // If this is the base call, prev is empty and we need to continue. I prev != ‘’ & !comp(prev, opt) L.continue   // Take care of the case where we have no options left. I options.len ==...