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http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#C
C
  #include<graphics.h> #include<stdio.h> #include<math.h>   #define pi M_PI   int main(){ double a,b,cycles,incr,i;   int steps,x=500,y=500;   printf("Enter the parameters a and b : "); scanf("%lf%lf",&a,&b);   printf("Enter cycles : "); scanf("%lf",&cycles);   printf("Enter divisional steps : "); scanf("%d",&s...
http://rosettacode.org/wiki/100_doors
100 doors
There are 100 doors in a row that are all initially closed. You make 100 passes by the doors. The first time through, visit every door and  toggle  the door  (if the door is closed,  open it;   if it is open,  close it). The second time, only visit every 2nd door   (door #2, #4, #6, ...),   and toggle it. The third...
#Aikido
Aikido
  var doors = new int [100]   foreach pass 100 { for (var door = pass ; door < 100 ; door += pass+1) { doors[door] = !doors[door] } }   var d = 1 foreach door doors { println ("door " + d++ + " is " + (door ? "open" : "closed"))   }    
http://rosettacode.org/wiki/Arrays
Arrays
This task is about arrays. For hashes or associative arrays, please see Creating an Associative Array. For a definition and in-depth discussion of what an array is, see Array. Task Show basic array syntax in your language. Basically, create an array, assign a value to it, and retrieve an element   (if available,...
#BQN
BQN
# Stranding: arr ← 1‿2‿'a'‿+‿5 # General List Syntax: arr1 ← ⟨1,2,'a',+,5⟩ •Show arr ≡ arr1 # both arrays are the same. •Show arr •Show arr1   # Taking nth element(⊑): •Show 3⊑arr   # Modifying the array(↩): arr ↩ "hello"⌾(4⊸⊑) arr
http://rosettacode.org/wiki/Arithmetic/Complex
Arithmetic/Complex
A   complex number   is a number which can be written as: a + b × i {\displaystyle a+b\times i} (sometimes shown as: b + a × i {\displaystyle b+a\times i} where   a {\displaystyle a}   and   b {\displaystyle b}   are real numbers,   and   i {\displaystyle i}   is   √ -1  Typica...
#Forth
Forth
S" fsl-util.fs" REQUIRED S" complex.fs" REQUIRED   zvariable x zvariable y 1e 1e x z! pi 1.2e y z!   x z@ y z@ z+ z. x z@ y z@ z* z. 1e 0e zconstant 1+0i 1+0i x z@ z/ z. x z@ znegate z.
http://rosettacode.org/wiki/Arithmetic/Rational
Arithmetic/Rational
Task Create a reasonably complete implementation of rational arithmetic in the particular language using the idioms of the language. Example Define a new type called frac with binary operator "//" of two integers that returns a structure made up of the numerator and the denominator (as per a rational number). Fur...
#Go
Go
package main   import ( "fmt" "math" "math/big" )   func main() { var recip big.Rat max := int64(1 << 19) for candidate := int64(2); candidate < max; candidate++ { sum := big.NewRat(1, candidate) max2 := int64(math.Sqrt(float64(candidate))) for factor := int64(2); factor ...
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#jq
jq
def naive_agm(a; g; tolerance): def abs: if . < 0 then -. else . end; def _agm: # state [an,gn] if ((.[0] - .[1])|abs) > tolerance then [add/2, ((.[0] * .[1])|sqrt)] | _agm else . end; [a, g] | _agm | .[0] ;
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#Julia
Julia
function agm(x, y, e::Real = 5) (x ≤ 0 || y ≤ 0 || e ≤ 0) && throw(DomainError("x, y must be strictly positive")) g, a = minmax(x, y) while e * eps(x) < a - g a, g = (a + g) / 2, sqrt(a * g) end a end   x, y = 1.0, 1 / √2 println("# Using literal-precision float numbers:") @show agm(x, y)   ...
http://rosettacode.org/wiki/Arithmetic/Integer
Arithmetic/Integer
Basic Data Operation This is a basic data operation. It represents a fundamental action on a basic data type. You may see other such operations in the Basic Data Operations category, or: Integer Operations Arithmetic | Comparison Boolean Operations Bitwise | Logical String Operations Concatenation | Interpolation |...
#ZX_Spectrum_Basic
ZX Spectrum Basic
5 LET a=5: LET b=3 10 PRINT a;" + ";b;" = ";a+b 20 PRINT a;" - ";b;" = ";a-b 30 PRINT a;" * ";b;" = ";a*b 40 PRINT a;" / ";b;" = ";INT (a/b) 50 PRINT a;" mod ";b;" = ";a-INT (a/b)*b 60 PRINT a;" to the power of ";b;" = ";a^b  
http://rosettacode.org/wiki/Arithmetic_evaluation
Arithmetic evaluation
Create a program which parses and evaluates arithmetic expressions. Requirements An abstract-syntax tree (AST) for the expression must be created from parsing the input. The AST must be used in evaluation, also, so the input may not be directly evaluated (e.g. by calling eval or a similar language feature.) The ...
#Elena
Elena
import system'routines; import extensions; import extensions'text;   class Token { object theValue;   rprop int Level;   constructor new(int level) { theValue := new StringWriter(); Level := level + 9; }   append(ch) { theValue.write(ch) }   Number = theValue....
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#C.23
C#
using System; using System.Linq; using System.Drawing; using System.Diagnostics; using System.Drawing.Drawing2D;   class Program { const int width = 380; const int height = 380; static PointF archimedeanPoint(int degrees) { const double a = 1; const double b = 9; double t = degre...
http://rosettacode.org/wiki/100_doors
100 doors
There are 100 doors in a row that are all initially closed. You make 100 passes by the doors. The first time through, visit every door and  toggle  the door  (if the door is closed,  open it;   if it is open,  close it). The second time, only visit every 2nd door   (door #2, #4, #6, ...),   and toggle it. The third...
#ALGOL_60
ALGOL 60
  begin   comment - 100 doors problem in ALGOL-60;   boolean array doors[1:100]; integer i, j; boolean open, closed;   open := true; closed := not true;   outstring(1,"100 Doors Problem\n");   comment - all doors are initially closed; for i := 1 step 1 until 100 do doors[i] := closed;   comment cycle through at inc...
http://rosettacode.org/wiki/Arrays
Arrays
This task is about arrays. For hashes or associative arrays, please see Creating an Associative Array. For a definition and in-depth discussion of what an array is, see Array. Task Show basic array syntax in your language. Basically, create an array, assign a value to it, and retrieve an element   (if available,...
#Bracmat
Bracmat
( tbl$(mytable,100) & 5:?(30$mytable) & 9:?(31$mytable) & out$(!(30$mytable)) & out$(!(-169$mytable)) { -169 mod 100 == 31 } & out$!mytable { still index 31 } & tbl$(mytable,0) & (!mytable & out$"mytable still exists" | out$"mytable is gone" ) );
http://rosettacode.org/wiki/Arithmetic/Complex
Arithmetic/Complex
A   complex number   is a number which can be written as: a + b × i {\displaystyle a+b\times i} (sometimes shown as: b + a × i {\displaystyle b+a\times i} where   a {\displaystyle a}   and   b {\displaystyle b}   are real numbers,   and   i {\displaystyle i}   is   √ -1  Typica...
#Fortran
Fortran
program cdemo complex :: a = (5,3), b = (0.5, 6.0) ! complex initializer complex :: absum, abprod, aneg, ainv   absum = a + b abprod = a * b aneg = -a ainv = 1.0 / a end program cdemo
http://rosettacode.org/wiki/Arithmetic/Rational
Arithmetic/Rational
Task Create a reasonably complete implementation of rational arithmetic in the particular language using the idioms of the language. Example Define a new type called frac with binary operator "//" of two integers that returns a structure made up of the numerator and the denominator (as per a rational number). Fur...
#Groovy
Groovy
class Rational extends Number implements Comparable { final BigInteger num, denom   static final Rational ONE = new Rational(1) static final Rational ZERO = new Rational(0)   Rational(BigDecimal decimal) { this( decimal.scale() < 0 ? decimal.unscaledValue() * 10 ** -decimal.scale() : dec...
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#Klingphix
Klingphix
include ..\Utilitys.tlhy   :agm [ over over + 2 / rot rot * sqrt ] [ over over tostr swap tostr # ] while drop ;   1 1 2 sqrt / agm   pstack   " " input
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#Kotlin
Kotlin
// version 1.0.5-2   fun agm(a: Double, g: Double): Double { var aa = a // mutable 'a' var gg = g // mutable 'g' var ta: Double // temporary variable to hold next iteration of 'aa' val epsilon = 1.0e-16 // tolerance for checking if limit has been reached   while (tru...
http://rosettacode.org/wiki/Arithmetic_evaluation
Arithmetic evaluation
Create a program which parses and evaluates arithmetic expressions. Requirements An abstract-syntax tree (AST) for the expression must be created from parsing the input. The AST must be used in evaluation, also, so the input may not be directly evaluated (e.g. by calling eval or a similar language feature.) The ...
#Emacs_Lisp
Emacs Lisp
#!/usr/bin/env emacs --script ;; -*- mode: emacs-lisp; lexical-binding: t -*- ;;> ./arithmetic-evaluation '(1 + 2) * 3'   (defun advance () (let ((rtn (buffer-substring-no-properties (point) (match-end 0)))) (goto-char (match-end 0)) rtn))   (defvar current-symbol nil)   (defun next-symbol () (when (looking...
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#C.2B.2B
C++
  #include <windows.h> #include <string> #include <iostream>   const int BMP_SIZE = 600;   class myBitmap { public: myBitmap() : pen( NULL ), brush( NULL ), clr( 0 ), wid( 1 ) {} ~myBitmap() { DeleteObject( pen ); DeleteObject( brush ); DeleteDC( hdc ); DeleteObject( bmp ); } bool create...
http://rosettacode.org/wiki/100_doors
100 doors
There are 100 doors in a row that are all initially closed. You make 100 passes by the doors. The first time through, visit every door and  toggle  the door  (if the door is closed,  open it;   if it is open,  close it). The second time, only visit every 2nd door   (door #2, #4, #6, ...),   and toggle it. The third...
#ALGOL_68
ALGOL 68
# declare some constants # INT limit = 100;   PROC doors = VOID: ( MODE DOORSTATE = BOOL; BOOL closed = FALSE; BOOL open = NOT closed; MODE DOORLIST = [limit]DOORSTATE;   DOORLIST the doors; FOR i FROM LWB the doors TO UPB the doors DO the doors[i]:=closed OD;   FOR i FROM LWB the doors TO UPB the doors D...
http://rosettacode.org/wiki/Arrays
Arrays
This task is about arrays. For hashes or associative arrays, please see Creating an Associative Array. For a definition and in-depth discussion of what an array is, see Array. Task Show basic array syntax in your language. Basically, create an array, assign a value to it, and retrieve an element   (if available,...
#Brainf.2A.2A.2A
Brainf***
  ===========[ ARRAY DATA STRUCTURE   AUTHOR: Keith Stellyes WRITTEN: June 2016   This is a zero-based indexing array data structure, it assumes the following precondition:   >INDEX<|NULL|VALUE|NULL|VALUE|NULL|VALUE|NULL   (Where >< mark pointer position, and | separates addresses)   It relies heavily on [>] and [<] b...
http://rosettacode.org/wiki/Arithmetic/Complex
Arithmetic/Complex
A   complex number   is a number which can be written as: a + b × i {\displaystyle a+b\times i} (sometimes shown as: b + a × i {\displaystyle b+a\times i} where   a {\displaystyle a}   and   b {\displaystyle b}   are real numbers,   and   i {\displaystyle i}   is   √ -1  Typica...
#FreeBASIC
FreeBASIC
' FB 1.05.0 Win64   Type Complex As Double real, imag Declare Constructor(real As Double, imag As Double) Declare Function invert() As Complex Declare Function conjugate() As Complex Declare Operator cast() As String End Type   Constructor Complex(real As Double, imag As Double) This.real = real This.i...
http://rosettacode.org/wiki/Arithmetic/Rational
Arithmetic/Rational
Task Create a reasonably complete implementation of rational arithmetic in the particular language using the idioms of the language. Example Define a new type called frac with binary operator "//" of two integers that returns a structure made up of the numerator and the denominator (as per a rational number). Fur...
#Haskell
Haskell
import Data.Ratio ((%))   -- Prints the first N perfect numbers. main = do let n = 4 mapM_ print $ take n [ candidate | candidate <- [2 .. 2 ^ 19] , getSum candidate == 1 ] where getSum candidate = 1 % candidate + sum [ 1 % factor + 1 % (candidate `div` factor)...
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#LFE
LFE
  (defun agm (a g) (agm a g 1.0e-15))   (defun agm (a g tol) (if (=< (- a g) tol) a (agm (next-a a g) (next-g a g) tol)))   (defun next-a (a g) (/ (+ a g) 2))   (defun next-g (a g) (math:sqrt (* a g)))  
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#Liberty_BASIC
Liberty BASIC
  print agm(1, 1/sqr(2)) print using("#.#################",agm(1, 1/sqr(2)))   function agm(a,g) do absdiff = abs(a-g) an=(a+g)/2 gn=sqr(a*g) a=an g=gn loop while abs(an-gn)< absdiff agm = a end function    
http://rosettacode.org/wiki/Arithmetic_evaluation
Arithmetic evaluation
Create a program which parses and evaluates arithmetic expressions. Requirements An abstract-syntax tree (AST) for the expression must be created from parsing the input. The AST must be used in evaluation, also, so the input may not be directly evaluated (e.g. by calling eval or a similar language feature.) The ...
#ERRE
ERRE
  PROGRAM EVAL   ! ! arithmetic expression evaluator !   !$KEY   LABEL 98,100,110   DIM STACK$[50]   PROCEDURE DISEGNA_STACK  !$RCODE="LOCATE 3,1"  !$RCODE="COLOR 0,7" PRINT(TAB(35);"S T A C K";TAB(79);)  !$RCODE="COLOR 7,0" FOR TT=1 TO 38 DO IF TT>=20 THEN  !$RCODE="LOCATE 3+TT-19,40" ELSE ...
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#Clojure
Clojure
  (use '(incanter core stats charts io))   (defn Arquimidean-function [a b theta] (+ a (* theta b)))   (defn transform-pl-xy [r theta] (let [x (* r (sin theta)) y (* r (cos theta))] [x y]))   (defn arq-spiral [t] (transform-pl-xy (Arquimidean-function 0 7 t) t))   (view (parametric-plot arq-spiral 0 (...
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#Common_Lisp
Common Lisp
(defun draw-coords-as-text (coords size fill-char) (let* ((min-x (apply #'min (mapcar #'car coords))) (min-y (apply #'min (mapcar #'cdr coords))) (max-x (apply #'max (mapcar #'car coords))) (max-y (apply #'max (mapcar #'cdr coords))) (real-size (max (+ (abs min-x) (abs max-x)) ; bo...
http://rosettacode.org/wiki/100_doors
100 doors
There are 100 doors in a row that are all initially closed. You make 100 passes by the doors. The first time through, visit every door and  toggle  the door  (if the door is closed,  open it;   if it is open,  close it). The second time, only visit every 2nd door   (door #2, #4, #6, ...),   and toggle it. The third...
#ALGOL_W
ALGOL W
begin  % find the first few squares via the unoptimised door flipping method  %   integer doorMax; doorMax := 100;   begin  % need to start a new block so the array can have variable bounds  %    % array of doors - door( i ) is true if open, false if closed  % logical array d...
http://rosettacode.org/wiki/Arrays
Arrays
This task is about arrays. For hashes or associative arrays, please see Creating an Associative Array. For a definition and in-depth discussion of what an array is, see Array. Task Show basic array syntax in your language. Basically, create an array, assign a value to it, and retrieve an element   (if available,...
#C
C
int myArray2[10] = { 1, 2, 0 }; /* the rest of elements get the value 0 */ float myFloats[] ={1.2, 2.5, 3.333, 4.92, 11.2, 22.0 }; /* automatically sizes */
http://rosettacode.org/wiki/Arithmetic/Complex
Arithmetic/Complex
A   complex number   is a number which can be written as: a + b × i {\displaystyle a+b\times i} (sometimes shown as: b + a × i {\displaystyle b+a\times i} where   a {\displaystyle a}   and   b {\displaystyle b}   are real numbers,   and   i {\displaystyle i}   is   √ -1  Typica...
#Free_Pascal
Free Pascal
Program ComplexDemo;   uses ucomplex;   var a, b, absum, abprod, aneg, ainv, acong: complex;   function complex(const re, im: real): ucomplex.complex; overload; begin complex.re := re; complex.im := im; end;   begin a := complex(5, 3); b := complex(0.5, 6.0); absum := a + b; writeln (...
http://rosettacode.org/wiki/Arithmetic/Rational
Arithmetic/Rational
Task Create a reasonably complete implementation of rational arithmetic in the particular language using the idioms of the language. Example Define a new type called frac with binary operator "//" of two integers that returns a structure made up of the numerator and the denominator (as per a rational number). Fur...
#Icon_and_Unicon
Icon and Unicon
procedure main() limit := 2^19   write("Perfect numbers up to ",limit," (using rational arithmetic):") every write(is_perfect(c := 2 to limit)) write("End of perfect numbers")   # verify the rest of the implementation   zero := makerat(0) # from integer half := makerat(0.5) # from r...
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#LiveCode
LiveCode
function agm aa,g put abs(aa-g) into absdiff put (aa+g)/2 into aan put sqrt(aa*g) into gn repeat while abs(aan - gn) < absdiff put abs(aa-g) into absdiff put (aa+g)/2 into aan put sqrt(aa*g) into gn put aan into aa put gn into g end repeat return aa end ...
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#LLVM
LLVM
; This is not strictly LLVM, as it uses the C library function "printf". ; LLVM does not provide a way to print values, so the alternative would be ; to just load the string into memory, and that would be boring.   ; Additional comments have been inserted, as well as changes made from the output produced by clang such ...
http://rosettacode.org/wiki/Arithmetic_evaluation
Arithmetic evaluation
Create a program which parses and evaluates arithmetic expressions. Requirements An abstract-syntax tree (AST) for the expression must be created from parsing the input. The AST must be used in evaluation, also, so the input may not be directly evaluated (e.g. by calling eval or a similar language feature.) The ...
#F.23
F#
module AbstractSyntaxTree   type Expression = | Int of int | Plus of Expression * Expression | Minus of Expression * Expression | Times of Expression * Expression | Divide of Expression * Expression
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#FOCAL
FOCAL
1.1 S A=1.5 1.2 S B=2 1.3 S N=250 1.4 F T=1,N; D 2 1.5 X FSKP(2*N) 1.6 Q   2.1 S R=A+B*T; D 3 2.2 X FPT(2*T,X1+512,Y1+390) 2.3 S R=A+B*(T+1); D 4 2.4 X FVEC(2*T+1,X2-X1,Y2-Y1)   3.1 S X1=R*FSIN(.2*T) 3.2 S Y1=R*FCOS(.2*T)   4.1 S X2=R*FSIN(.2*(T+1)) 4.2 S Y2=R*FCOS(.2*(T+1))
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#Frege
Frege
module Archimedean where   import Java.IO import Prelude.Math   data BufferedImage = native java.awt.image.BufferedImage where pure native type_3byte_bgr "java.awt.image.BufferedImage.TYPE_3BYTE_BGR" :: Int native new :: Int -> Int -> Int -> STMutable s BufferedImage native createGraphics :: Mutable s BufferedIma...
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#Go
Go
package main   import ( "image" "image/color" "image/draw" "image/png" "log" "math" "os" )   func main() { const ( width, height = 600, 600 centre = width / 2.0 degreesIncr = 0.1 * math.Pi / 180 turns = 2 stop = 360 * turns * 10 * degreesIncr fileName = "spiral.png" )...
http://rosettacode.org/wiki/100_doors
100 doors
There are 100 doors in a row that are all initially closed. You make 100 passes by the doors. The first time through, visit every door and  toggle  the door  (if the door is closed,  open it;   if it is open,  close it). The second time, only visit every 2nd door   (door #2, #4, #6, ...),   and toggle it. The third...
#ALGOL-M
ALGOL-M
  BEGIN   INTEGER ARRAY DOORS[1:100]; INTEGER I, J, OPEN, CLOSED;   OPEN := 1; CLOSED := 0;   % ALL DOORS ARE INITIALLY CLOSED % FOR I := 1 STEP 1 UNTIL 100 DO BEGIN DOORS[I] := CLOSED; END;   % PASS THROUGH AT INCREASING INTERVALS AND FLIP % FOR I := 1 STEP 1 UNTIL 100 DO BEGIN FOR J := I STEP I UNTIL 1...
http://rosettacode.org/wiki/Arrays
Arrays
This task is about arrays. For hashes or associative arrays, please see Creating an Associative Array. For a definition and in-depth discussion of what an array is, see Array. Task Show basic array syntax in your language. Basically, create an array, assign a value to it, and retrieve an element   (if available,...
#C.23
C#
int[] numbers = new int[10];
http://rosettacode.org/wiki/Arithmetic/Complex
Arithmetic/Complex
A   complex number   is a number which can be written as: a + b × i {\displaystyle a+b\times i} (sometimes shown as: b + a × i {\displaystyle b+a\times i} where   a {\displaystyle a}   and   b {\displaystyle b}   are real numbers,   and   i {\displaystyle i}   is   √ -1  Typica...
#Frink
Frink
  add[x,y] := x + y multiply[x,y] := x * y negate[x] := -x invert[x] := 1/x // Could also use inv[x] or recip[x] conjugate[x] := Re[x] - Im[x] i   a = 3 + 2.5i b = 7.3 - 10i println["$a + $b = " + add[a,b]] println["$a * $b = " + multiply[a,b]] println["-$a = " + negate[a]] println["1/$a = " + invert[a]] println["conj...
http://rosettacode.org/wiki/Arithmetic/Rational
Arithmetic/Rational
Task Create a reasonably complete implementation of rational arithmetic in the particular language using the idioms of the language. Example Define a new type called frac with binary operator "//" of two integers that returns a structure made up of the numerator and the denominator (as per a rational number). Fur...
#J
J
(x: 3) % (x: -4) _3r4 3 %&x: -4 _3r4
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#Logo
Logo
to about :a :b output and [:a - :b < 1e-15] [:a - :b > -1e-15] end to agm :arith :geom if about :arith :geom [output :arith] output agm (:arith + :geom)/2 sqrt (:arith * :geom) end   show agm 1 1/sqrt 2  
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#Lua
Lua
function agm(a, b, tolerance) if not tolerance or tolerance < 1e-15 then tolerance = 1e-15 end repeat a, b = (a + b) / 2, math.sqrt(a * b) until math.abs(a-b) < tolerance return a end   print(string.format("%.15f", agm(1, 1 / math.sqrt(2))))
http://rosettacode.org/wiki/Arithmetic_evaluation
Arithmetic evaluation
Create a program which parses and evaluates arithmetic expressions. Requirements An abstract-syntax tree (AST) for the expression must be created from parsing the input. The AST must be used in evaluation, also, so the input may not be directly evaluated (e.g. by calling eval or a similar language feature.) The ...
#Factor
Factor
USING: accessors kernel locals math math.parser peg.ebnf ; IN: rosetta.arith   TUPLE: operator left right ; TUPLE: add < operator ; C: <add> add TUPLE: sub < operator ; C: <sub> sub TUPLE: mul < operator ; C: <mul> mul TUPLE: div < operator ; C: <div> div   EBNF: expr-ast spaces = [\n\t ]* digit = [0-9] nu...
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#Haskell
Haskell
#!/usr/bin/env stack -- stack --resolver lts-7.0 --install-ghc runghc --package Rasterific --package JuicyPixels   import Codec.Picture( PixelRGBA8( .. ), writePng ) import Graphics.Rasterific import Graphics.Rasterific.Texture import Graphics.Rasterific.Transformations   archimedeanPoint a b t = V2 x y where r = a +...
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#J
J
require'plot' 'aspect 1' plot (*^)j.0.01*i.1400
http://rosettacode.org/wiki/100_doors
100 doors
There are 100 doors in a row that are all initially closed. You make 100 passes by the doors. The first time through, visit every door and  toggle  the door  (if the door is closed,  open it;   if it is open,  close it). The second time, only visit every 2nd door   (door #2, #4, #6, ...),   and toggle it. The third...
#AmigaE
AmigaE
PROC main() DEF t[100]: ARRAY, pass, door FOR door := 0 TO 99 DO t[door] := FALSE FOR pass := 0 TO 99 door := pass WHILE door <= 99 t[door] := Not(t[door]) door := door + pass + 1 ENDWHILE ENDFOR FOR door := 0 TO 99 DO WriteF('\d is \s\n', door+1, ...
http://rosettacode.org/wiki/Arrays
Arrays
This task is about arrays. For hashes or associative arrays, please see Creating an Associative Array. For a definition and in-depth discussion of what an array is, see Array. Task Show basic array syntax in your language. Basically, create an array, assign a value to it, and retrieve an element   (if available,...
#C.2B.2B
C++
#include <array> #include <vector>   // These headers are only needed for the demonstration #include <algorithm> #include <iostream> #include <iterator> #include <string>   // This is a template function that works for any array-like object template <typename Array> void demonstrate(Array& array) { // Array element a...
http://rosettacode.org/wiki/Arithmetic/Complex
Arithmetic/Complex
A   complex number   is a number which can be written as: a + b × i {\displaystyle a+b\times i} (sometimes shown as: b + a × i {\displaystyle b+a\times i} where   a {\displaystyle a}   and   b {\displaystyle b}   are real numbers,   and   i {\displaystyle i}   is   √ -1  Typica...
#Futhark
Futhark
  type complex = (f64,f64)   fun complexAdd((a,b): complex) ((c,d): complex): complex = (a + c, b + d)   fun complexMult((a,b): complex) ((c,d): complex): complex = (a*c - b * d, a*d + b * c)   fun complexInv((r,i): complex): complex = let denom = r*r + i * i in (r / denom, -i / denom)   fun complexNe...
http://rosettacode.org/wiki/Arithmetic/Complex
Arithmetic/Complex
A   complex number   is a number which can be written as: a + b × i {\displaystyle a+b\times i} (sometimes shown as: b + a × i {\displaystyle b+a\times i} where   a {\displaystyle a}   and   b {\displaystyle b}   are real numbers,   and   i {\displaystyle i}   is   √ -1  Typica...
#GAP
GAP
# GAP knows gaussian integers, gaussian rationals (i.e. Q[i]), and cyclotomic fields. Here are some examples. # E(n) is an nth primitive root of 1 i := Sqrt(-1); # E(4) (3 + 2*i)*(5 - 7*i); # 29-11*E(4) 1/i; # -E(4) Sqrt(-3); # E(3)-E(3)^2   i in GaussianIntegers; # true i/2 in GaussianIntegers; # false i/2 in Gaussian...
http://rosettacode.org/wiki/Arithmetic/Rational
Arithmetic/Rational
Task Create a reasonably complete implementation of rational arithmetic in the particular language using the idioms of the language. Example Define a new type called frac with binary operator "//" of two integers that returns a structure made up of the numerator and the denominator (as per a rational number). Fur...
#Java
Java
public class BigRationalFindPerfectNumbers { public static void main(String[] args) { int MAX_NUM = 1 << 19; System.out.println("Searching for perfect numbers in the range [1, " + (MAX_NUM - 1) + "]");   BigRational TWO = BigRational.valueOf(2); for (int i = 1; i < MAX_NUM; i++) { ...
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#M2000_Interpreter
M2000 Interpreter
  Module Checkit { Function Agm { \\ new stack constructed at calling the Agm() with two values Repeat { Read a0, b0 Push Sqrt(a0*b0), (a0+b0)/2 ' last pushed first read } Until Stackitem(1)==Stackitem(2) =Stackitem(...
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#Maple
Maple
  > evalf( GaussAGM( 1, 1 / sqrt( 2 ) ) ); # default precision is 10 digits 0.8472130847   > evalf[100]( GaussAGM( 1, 1 / sqrt( 2 ) ) ); # to 100 digits 0.847213084793979086606499123482191636481445910326942185060579372659\ 7340048341347597232002939946112300  
http://rosettacode.org/wiki/Arithmetic_evaluation
Arithmetic evaluation
Create a program which parses and evaluates arithmetic expressions. Requirements An abstract-syntax tree (AST) for the expression must be created from parsing the input. The AST must be used in evaluation, also, so the input may not be directly evaluated (e.g. by calling eval or a similar language feature.) The ...
#FreeBASIC
FreeBASIC
  'Arithmetic evaluation ' 'Create a program which parses and evaluates arithmetic expressions. ' 'Requirements ' ' * An abstract-syntax tree (AST) for the expression must be created from parsing the ' input. ' * The AST must be used in evaluation, also, so the input may not be directly evaluated ' (e.g...
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#Java
Java
import java.awt.*; import static java.lang.Math.*; import javax.swing.*;   public class ArchimedeanSpiral extends JPanel {   public ArchimedeanSpiral() { setPreferredSize(new Dimension(640, 640)); setBackground(Color.white); }   void drawGrid(Graphics2D g) { g.setColor(new Color(0xEE...
http://rosettacode.org/wiki/100_doors
100 doors
There are 100 doors in a row that are all initially closed. You make 100 passes by the doors. The first time through, visit every door and  toggle  the door  (if the door is closed,  open it;   if it is open,  close it). The second time, only visit every 2nd door   (door #2, #4, #6, ...),   and toggle it. The third...
#APL
APL
doors←{100⍴((⍵-1)⍴0),1} ≠⌿⊃doors¨ ⍳100
http://rosettacode.org/wiki/Arrays
Arrays
This task is about arrays. For hashes or associative arrays, please see Creating an Associative Array. For a definition and in-depth discussion of what an array is, see Array. Task Show basic array syntax in your language. Basically, create an array, assign a value to it, and retrieve an element   (if available,...
#Ceylon
Ceylon
import ceylon.collection {   ArrayList }   shared void run() {   // you can get an array from the Array.ofSize named constructor value array = Array.ofSize(10, "hello"); value a = array[3]; print(a); array[4] = "goodbye"; print(array);   // for a dynamic list import ceylon.collection in your module.ceylon file ...
http://rosettacode.org/wiki/Arithmetic/Complex
Arithmetic/Complex
A   complex number   is a number which can be written as: a + b × i {\displaystyle a+b\times i} (sometimes shown as: b + a × i {\displaystyle b+a\times i} where   a {\displaystyle a}   and   b {\displaystyle b}   are real numbers,   and   i {\displaystyle i}   is   √ -1  Typica...
#Go
Go
package main   import ( "fmt" "math/cmplx" )   func main() { a := 1 + 1i b := 3.14159 + 1.25i fmt.Println("a: ", a) fmt.Println("b: ", b) fmt.Println("a + b: ", a+b) fmt.Println("a * b: ", a*b) fmt.Println("-a: ", -a) fmt.Println("1 / a: ", 1/a) fmt.Println("...
http://rosettacode.org/wiki/Arithmetic/Rational
Arithmetic/Rational
Task Create a reasonably complete implementation of rational arithmetic in the particular language using the idioms of the language. Example Define a new type called frac with binary operator "//" of two integers that returns a structure made up of the numerator and the denominator (as per a rational number). Fur...
#JavaScript
JavaScript
// the constructor function Rational(numerator, denominator) { if (denominator === undefined) denominator = 1; else if (denominator == 0) throw "divide by zero";   this.numer = numerator; if (this.numer == 0) this.denom = 1; else this.denom = denominator;   this.n...
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#Mathematica.2FWolfram_Language
Mathematica/Wolfram Language
PrecisionDigits = 85; AGMean[a_, b_] := FixedPoint[{ Tr@#/2, Sqrt[Times@@#] }&, N[{a,b}, PrecisionDigits]]〚1〛
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#MATLAB_.2F_Octave
MATLAB / Octave
function [a,g]=agm(a,g) %%arithmetic_geometric_mean(a,g) while (1) a0=a; a=(a0+g)/2; g=sqrt(a0*g); if (abs(a0-a) < a*eps) break; end; end; end
http://rosettacode.org/wiki/Arithmetic_evaluation
Arithmetic evaluation
Create a program which parses and evaluates arithmetic expressions. Requirements An abstract-syntax tree (AST) for the expression must be created from parsing the input. The AST must be used in evaluation, also, so the input may not be directly evaluated (e.g. by calling eval or a similar language feature.) The ...
#Go
Go
enum Op { ADD('+', 2), SUBTRACT('-', 2), MULTIPLY('*', 1), DIVIDE('/', 1);   static { ADD.operation = { a, b -> a + b } SUBTRACT.operation = { a, b -> a - b } MULTIPLY.operation = { a, b -> a * b } DIVIDE.operation = { a, b -> a / b } }   final String symbol ...
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#JavaScript
JavaScript
  <!-- ArchiSpiral.html --> <html> <head><title>Archimedean spiral</title></head> <body onload="pAS(35,'navy');"> <h3>Archimedean spiral</h3> <p id=bo></p> <canvas id="canvId" width="640" height="640" style="border: 2px outset;"></canvas> <script> // Plotting Archimedean_spiral aev 3/17/17 // lps - number of loops, clr...
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#jq
jq
def spiral($zero; $turns; $step):   def pi: 1 | atan * 4; def p2: (. * 100 | round) / 100;   def svg: 400 as $width | 400 as $height | 2 as $swidth # stroke | "blue" as $stroke | (range($zero; $turns * 2 * pi; $step) as $theta | (((($theta)|cos) * 2 * $theta + ($width/2)) |p2) as $x ...
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#Julia
Julia
using UnicodePlots   spiral(θ, a=0, b=1) = @. b * θ * cos(θ + a), b * θ * sin(θ + a)   x, y = spiral(1:0.1:10) println(lineplot(x, y))
http://rosettacode.org/wiki/100_doors
100 doors
There are 100 doors in a row that are all initially closed. You make 100 passes by the doors. The first time through, visit every door and  toggle  the door  (if the door is closed,  open it;   if it is open,  close it). The second time, only visit every 2nd door   (door #2, #4, #6, ...),   and toggle it. The third...
#AppleScript
AppleScript
set is_open to {} repeat 100 times set end of is_open to false end repeat with pass from 1 to 100 repeat with door from pass to 100 by pass set item door of is_open to not item door of is_open end end set open_doors to {} repeat with door from 1 to 100 if item door of is_open then set end of open_doo...
http://rosettacode.org/wiki/Arrays
Arrays
This task is about arrays. For hashes or associative arrays, please see Creating an Associative Array. For a definition and in-depth discussion of what an array is, see Array. Task Show basic array syntax in your language. Basically, create an array, assign a value to it, and retrieve an element   (if available,...
#ChucK
ChucK
  int array[0]; // instantiate int array array << 1; // append item array << 2 << 3; // append items 4 => array[3]; // assign element(4) to index(3) 5 => array.size; // resize array.clear(); // clear elements <<<array.size()>>>; // print in cosole array size [1,2,3,4,5,6,7] @=> array; array.popBack(); // Pop last eleme...
http://rosettacode.org/wiki/Arithmetic/Complex
Arithmetic/Complex
A   complex number   is a number which can be written as: a + b × i {\displaystyle a+b\times i} (sometimes shown as: b + a × i {\displaystyle b+a\times i} where   a {\displaystyle a}   and   b {\displaystyle b}   are real numbers,   and   i {\displaystyle i}   is   √ -1  Typica...
#Groovy
Groovy
class Complex { final Number real, imag   static final Complex i = [0,1] as Complex   Complex(Number r, Number i = 0) { (real, imag) = [r, i] }   Complex(Map that) { (real, imag) = [that.real ?: 0, that.imag ?: 0] }   Complex plus (Complex c) { [real + c.real, imag + c.imag] as Complex } Complex...
http://rosettacode.org/wiki/Arithmetic/Rational
Arithmetic/Rational
Task Create a reasonably complete implementation of rational arithmetic in the particular language using the idioms of the language. Example Define a new type called frac with binary operator "//" of two integers that returns a structure made up of the numerator and the denominator (as per a rational number). Fur...
#jq
jq
# a and b are assumed to be non-zero integers def gcd(a; b): # subfunction expects [a,b] as input # i.e. a ~ .[0] and b ~ .[1] def rgcd: if .[1] == 0 then .[0] else [.[1], .[0] % .[1]] | rgcd end; [a,b] | rgcd;   # To take advantage of gojq's support for accurate integer division: def idivide...
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#Maxima
Maxima
agm(a, b) := %pi/4*(a + b)/elliptic_kc(((a - b)/(a + b))^2)$   agm(1, 1/sqrt(2)), bfloat, fpprec: 85; /* 8.472130847939790866064991234821916364814459103269421850605793726597340048341347597232b-1 */
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#.D0.9C.D0.9A-61.2F52
МК-61/52
П1 <-> П0 1 ВП 8 /-/ П2 ИП0 ИП1 - ИП2 - /-/ x<0 31 ИП1 П3 ИП0 ИП1 * КвКор П1 ИП0 ИП3 + 2 / П0 БП 08 ИП0 С/П
http://rosettacode.org/wiki/Arithmetic_evaluation
Arithmetic evaluation
Create a program which parses and evaluates arithmetic expressions. Requirements An abstract-syntax tree (AST) for the expression must be created from parsing the input. The AST must be used in evaluation, also, so the input may not be directly evaluated (e.g. by calling eval or a similar language feature.) The ...
#Groovy
Groovy
enum Op { ADD('+', 2), SUBTRACT('-', 2), MULTIPLY('*', 1), DIVIDE('/', 1);   static { ADD.operation = { a, b -> a + b } SUBTRACT.operation = { a, b -> a - b } MULTIPLY.operation = { a, b -> a * b } DIVIDE.operation = { a, b -> a / b } }   final String symbol ...
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#Kotlin
Kotlin
// version 1.1.0   import java.awt.* import javax.swing.*   class ArchimedeanSpiral : JPanel() { init { preferredSize = Dimension(640, 640) background = Color.white }   private fun drawGrid(g: Graphics2D) { g.color = Color(0xEEEEEE) g.stroke = BasicStroke(2f) val angl...
http://rosettacode.org/wiki/100_doors
100 doors
There are 100 doors in a row that are all initially closed. You make 100 passes by the doors. The first time through, visit every door and  toggle  the door  (if the door is closed,  open it;   if it is open,  close it). The second time, only visit every 2nd door   (door #2, #4, #6, ...),   and toggle it. The third...
#Arbre
Arbre
  openshut(n): for x in [1..n] x%n==0   pass(n): if n==100 openshut(n) else openshut(n) xor pass(n+1)   100doors(): pass(1) -> io  
http://rosettacode.org/wiki/Arrays
Arrays
This task is about arrays. For hashes or associative arrays, please see Creating an Associative Array. For a definition and in-depth discussion of what an array is, see Array. Task Show basic array syntax in your language. Basically, create an array, assign a value to it, and retrieve an element   (if available,...
#Clean
Clean
array :: {String} array = {"Hello", "World"}
http://rosettacode.org/wiki/Arithmetic/Complex
Arithmetic/Complex
A   complex number   is a number which can be written as: a + b × i {\displaystyle a+b\times i} (sometimes shown as: b + a × i {\displaystyle b+a\times i} where   a {\displaystyle a}   and   b {\displaystyle b}   are real numbers,   and   i {\displaystyle i}   is   √ -1  Typica...
#Hare
Hare
use fmt; use math::complex::{c128,addc128,mulc128,divc128,negc128,conjc128};   export fn main() void = { let x: c128 = (1.0, 1.0); let y: c128 = (3.14159265, 1.2);   // addition let (re, im) = addc128(x, y); fmt::printfln("{} + {}i", re, im)!; // multiplication let (re, im) = mulc128(x, y); fmt::printfln("{} + ...
http://rosettacode.org/wiki/Arithmetic/Complex
Arithmetic/Complex
A   complex number   is a number which can be written as: a + b × i {\displaystyle a+b\times i} (sometimes shown as: b + a × i {\displaystyle b+a\times i} where   a {\displaystyle a}   and   b {\displaystyle b}   are real numbers,   and   i {\displaystyle i}   is   √ -1  Typica...
#Haskell
Haskell
import Data.Complex   main = do let a = 1.0 :+ 2.0 -- complex number 1+2i let b = 4 -- complex number 4+0i -- 'b' is inferred to be complex because it's used in -- arithmetic with 'a' below. putStrLn $ "Add: " ++ show (a + b) putStrLn $ "Subtract: " ++ show (a - b) putStrLn $ "Multipl...
http://rosettacode.org/wiki/Arithmetic/Rational
Arithmetic/Rational
Task Create a reasonably complete implementation of rational arithmetic in the particular language using the idioms of the language. Example Define a new type called frac with binary operator "//" of two integers that returns a structure made up of the numerator and the denominator (as per a rational number). Fur...
#Julia
Julia
using Primes divisors(n) = foldl((a, (p, e)) -> vcat((a * [p^i for i in 0:e]')...), factor(n), init=[1])   isperfect(n) = sum(1 // d for d in divisors(n)) == 2   lo, hi = 2, 2^19 println("Perfect numbers between ", lo, " and ", hi, ": ", collect(filter(isperfect, lo:hi)))  
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#Modula-2
Modula-2
MODULE AGM; FROM EXCEPTIONS IMPORT AllocateSource,ExceptionSource,GetMessage,RAISE; FROM LongConv IMPORT ValueReal; FROM LongMath IMPORT sqrt; FROM LongStr IMPORT RealToStr; FROM Terminal IMPORT ReadChar,Write,WriteString,WriteLn;   VAR TextWinExSrc : ExceptionSource;   PROCEDURE ReadReal() : LONGREAL; VAR buff...
http://rosettacode.org/wiki/Zero_to_the_zero_power
Zero to the zero power
Some computer programming languages are not exactly consistent   (with other computer programming languages)   when   raising zero to the zeroth power:     00 Task Show the results of raising   zero   to the   zeroth   power. If your computer language objects to     0**0     or     0^0     at compile time, ...
#11l
11l
print(0 ^ 0)
http://rosettacode.org/wiki/Arithmetic_evaluation
Arithmetic evaluation
Create a program which parses and evaluates arithmetic expressions. Requirements An abstract-syntax tree (AST) for the expression must be created from parsing the input. The AST must be used in evaluation, also, so the input may not be directly evaluated (e.g. by calling eval or a similar language feature.) The ...
#Haskell
Haskell
{-# LANGUAGE FlexibleContexts #-}   import Text.Parsec import Text.Parsec.Expr import Text.Parsec.Combinator import Data.Functor import Data.Function (on)   data Exp = Num Int | Add Exp Exp | Sub Exp Exp | Mul Exp Exp | Div Exp Exp   expr :: Stream s m Char => ParsecT s u m...
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#Lua
Lua
  a=1 b=2 cycles=40 step=0.001 x=0 y=0   function love.load() x = love.graphics.getWidth()/2 y = love.graphics.getHeight()/2 end   function love.draw() love.graphics.print("a="..a,16,16) love.graphics.print("b="..b,16,32)   for i=0,cycles*math.pi,step do love.graphics.points(x+(a + b*...
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#M2000_Interpreter
M2000 Interpreter
  module Archimedean_spiral { smooth on ' enable GDI+ def r(θ)=5+3*θ cls #002222,0 pen #FFFF00 refresh 5000 every 1000 { \\ redifine window (console width and height) and place it to center (symbol ;) Window 12, random(10, 18)*1000, random(8, 12)*1000; move scale.x/2, scale.y/2 let N=2, k1=pi/120, k=k1, o...
http://rosettacode.org/wiki/100_doors
100 doors
There are 100 doors in a row that are all initially closed. You make 100 passes by the doors. The first time through, visit every door and  toggle  the door  (if the door is closed,  open it;   if it is open,  close it). The second time, only visit every 2nd door   (door #2, #4, #6, ...),   and toggle it. The third...
#Argile
Argile
use std, array   close all doors for each pass from 1 to 100 for (door = pass) (door <= 100) (door += pass) toggle door   let int pass, door.   .: close all doors :. {memset doors 0 size of doors} .:toggle <int door>:. {  !!(doors[door - 1]) }   let doors be an array of 100 bool   for each door from 1 to 10...
http://rosettacode.org/wiki/Arrays
Arrays
This task is about arrays. For hashes or associative arrays, please see Creating an Associative Array. For a definition and in-depth discussion of what an array is, see Array. Task Show basic array syntax in your language. Basically, create an array, assign a value to it, and retrieve an element   (if available,...
#Clipper
Clipper
// Declare and initialize two-dimensional array Local arr1 := { { "NITEM","N",10,0 }, { "CONTENT","C",60,0} } // Create an empty array Local arr2 := {} // Declare three-dimensional array Local arr3[2,100,3] // Create an array Local arr4 := Array(50)   // Array can be dynamically resized: a...
http://rosettacode.org/wiki/Arithmetic/Complex
Arithmetic/Complex
A   complex number   is a number which can be written as: a + b × i {\displaystyle a+b\times i} (sometimes shown as: b + a × i {\displaystyle b+a\times i} where   a {\displaystyle a}   and   b {\displaystyle b}   are real numbers,   and   i {\displaystyle i}   is   √ -1  Typica...
#Icon_and_Unicon
Icon and Unicon
procedure main()   SetupComplex() a := complex(1,2) b := complex(3,4)   c := complex(&pi,1.5) d := complex(1) e := complex(,1)   every v := !"abcde" do write(v," := ",cpxstr(variable(v)))   write("a+b := ", cpxstr(cpxadd(a,b))) write("a-b := ", cpxstr(cpxsub(a,b))) write("a*b := ", cpxstr(cpxmul(a,b))) write("a/b :=...
http://rosettacode.org/wiki/Arithmetic/Rational
Arithmetic/Rational
Task Create a reasonably complete implementation of rational arithmetic in the particular language using the idioms of the language. Example Define a new type called frac with binary operator "//" of two integers that returns a structure made up of the numerator and the denominator (as per a rational number). Fur...
#Kotlin
Kotlin
// version 1.1.2   fun gcd(a: Long, b: Long): Long = if (b == 0L) a else gcd(b, a % b)   infix fun Long.ldiv(denom: Long) = Frac(this, denom)   infix fun Int.idiv(denom: Int) = Frac(this.toLong(), denom.toLong())   fun Long.toFrac() = Frac(this, 1)   fun Int.toFrac() = Frac(this.toLong(), 1)   class Frac : Comparable<F...
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#NetRexx
NetRexx
/* NetRexx */ options replace format comments java crossref symbols nobinary   numeric digits 18 parse arg a_ g_ . if a_ = '' | a_ = '.' then a0 = 1 else a0 = a_ if g_ = '' | g_ = '.' then g0 = 1 / Math.sqrt(2) else g0 = g_   say agm(a0, g0)   return   -- ~~~~~~~~~~~~~~~~~~~~...
http://rosettacode.org/wiki/Zero_to_the_zero_power
Zero to the zero power
Some computer programming languages are not exactly consistent   (with other computer programming languages)   when   raising zero to the zeroth power:     00 Task Show the results of raising   zero   to the   zeroth   power. If your computer language objects to     0**0     or     0^0     at compile time, ...
#8th
8th
  0 0 ^ .  
http://rosettacode.org/wiki/Zero_to_the_zero_power
Zero to the zero power
Some computer programming languages are not exactly consistent   (with other computer programming languages)   when   raising zero to the zeroth power:     00 Task Show the results of raising   zero   to the   zeroth   power. If your computer language objects to     0**0     or     0^0     at compile time, ...
#Action.21
Action!
INCLUDE "D2:REAL.ACT" ;from the Action! Tool Kit   PROC Main() REAL z,res   Put(125) PutE() ;clear the screen   IntToReal(0,z) Power(z,z,res)   PrintR(z) Print("^") PrintR(z) Print("=") PrintRE(res) RETURN
http://rosettacode.org/wiki/Arithmetic_evaluation
Arithmetic evaluation
Create a program which parses and evaluates arithmetic expressions. Requirements An abstract-syntax tree (AST) for the expression must be created from parsing the input. The AST must be used in evaluation, also, so the input may not be directly evaluated (e.g. by calling eval or a similar language feature.) The ...
#Icon_and_Unicon
Icon and Unicon
procedure main() #: simple arithmetical parser / evaluator write("Usage: Input expression = Abstract Syntax Tree = Value, ^Z to end.") repeat { writes("Input expression : ") if not writes(line := read()) then break if map(line) ? { (x := E()) & pos(...
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#Maple
Maple
  plots[polarplot](1+2*theta, theta = 0 .. 6*Pi)  
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#Mathematica.2FWolfram_Language
Mathematica/Wolfram Language
With[{a = 5, b = 4}, PolarPlot[a + b t, {t, 0, 10 Pi}]]
http://rosettacode.org/wiki/Archimedean_spiral
Archimedean spiral
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes. An Archimedean spiral can be described by the equation: r = a + b θ {\displaystyle \,r=a+b\theta } with real numbers a and b. Task Draw an Archimedean spiral.
#MATLAB
MATLAB
a = 1; b = 1; turns = 2; theta = 0:0.1:2*turns*pi; polarplot(theta, a + b*theta);
http://rosettacode.org/wiki/100_doors
100 doors
There are 100 doors in a row that are all initially closed. You make 100 passes by the doors. The first time through, visit every door and  toggle  the door  (if the door is closed,  open it;   if it is open,  close it). The second time, only visit every 2nd door   (door #2, #4, #6, ...),   and toggle it. The third...
#ARM_Assembly
ARM Assembly
    /* ARM assembly Raspberry PI */ /* program 100doors.s */   /************************************/ /* Constantes */ /************************************/ .equ STDOUT, 1 @ Linux output console .equ EXIT, 1 @ Linux syscall .eq...
http://rosettacode.org/wiki/Arrays
Arrays
This task is about arrays. For hashes or associative arrays, please see Creating an Associative Array. For a definition and in-depth discussion of what an array is, see Array. Task Show basic array syntax in your language. Basically, create an array, assign a value to it, and retrieve an element   (if available,...
#Clojure
Clojure
;clojure is a language built with immutable/persistent data structures. there is no concept of changing what a vector/list ;is, instead clojure creates a new array with an added value using (conj...) ;in the example below the my-list does not change.     user=> (def my-list (list 1 2 3 4 5))   user=> my-list (1 2 3 4 ...
http://rosettacode.org/wiki/Arithmetic/Complex
Arithmetic/Complex
A   complex number   is a number which can be written as: a + b × i {\displaystyle a+b\times i} (sometimes shown as: b + a × i {\displaystyle b+a\times i} where   a {\displaystyle a}   and   b {\displaystyle b}   are real numbers,   and   i {\displaystyle i}   is   √ -1  Typica...
#IDL
IDL
x=complex(1,1) y=complex(!pi,1.2) print,x+y ( 4.14159, 2.20000) print,x*y ( 1.94159, 4.34159) print,-x ( -1.00000, -1.00000) print,1/x ( 0.500000, -0.500000)
http://rosettacode.org/wiki/Arithmetic/Rational
Arithmetic/Rational
Task Create a reasonably complete implementation of rational arithmetic in the particular language using the idioms of the language. Example Define a new type called frac with binary operator "//" of two integers that returns a structure made up of the numerator and the denominator (as per a rational number). Fur...
#Liberty_BASIC
Liberty BASIC
  n=2^19 for testNumber=1 to n sum$=castToFraction$(0) for factorTest=1 to sqr(testNumber) if GCD(factorTest,testNumber)=factorTest then sum$=add$(sum$,add$(reciprocal$(castToFraction$(factorTest)),reciprocal$(castToFraction$(testNumber/factorTest)))) next factorTest if equal(sum$,castToFraction...
http://rosettacode.org/wiki/Arithmetic-geometric_mean
Arithmetic-geometric mean
This page uses content from Wikipedia. The original article was at Arithmetic-geometric mean. 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) Task Write a function to compute the arithmetic-geomet...
#NewLISP
NewLISP
  (define (a-next a g) (mul 0.5 (add a g)))   (define (g-next a g) (sqrt (mul a g)))   (define (amg a g tolerance) (if (<= (sub a g) tolerance) a (amg (a-next a g) (g-next a g) tolerance) ) )   (define quadrillionth 0.000000000000001)   (define root-reciprocal-2 (div 1.0 (sqrt 2.0)))   (println "To the nearest ...
http://rosettacode.org/wiki/Zero_to_the_zero_power
Zero to the zero power
Some computer programming languages are not exactly consistent   (with other computer programming languages)   when   raising zero to the zeroth power:     00 Task Show the results of raising   zero   to the   zeroth   power. If your computer language objects to     0**0     or     0^0     at compile time, ...
#Ada
Ada
with Ada.Text_IO, Ada.Integer_Text_IO, Ada.Long_Integer_Text_IO, Ada.Long_Long_Integer_Text_IO, Ada.Float_Text_IO, Ada.Long_Float_Text_IO, Ada.Long_Long_Float_Text_IO; use Ada.Text_IO, Ada.Integer_Text_IO, Ada.Long_Integer_Text_IO, Ada.Long_Long_Integer_Text_IO, Ada.Float_Text_IO, Ada.Long_Float_Text_IO, Ada.L...