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http://rosettacode.org/wiki/Barnsley_fern
Barnsley fern
A Barnsley fern is a fractal named after British mathematician Michael Barnsley and can be created using an iterated function system (IFS). Task Create this fractal fern, using the following transformations: ƒ1   (chosen 1% of the time) xn + 1 = 0 yn + 1 = 0.16 yn ƒ2   (chosen 85% of the time) ...
#Yabasic
Yabasic
10 REM Fractal Fern 20 LET wid = 800 : LET hei = 600 : open window wid, hei : window origin "cb" 25 backcolor 0, 0, 0 : color 0, 255, 0 : clear window 30 LET maxpoints=wid*hei/2: LET x=0: LET y=0 40 FOR n=1 TO maxpoints 50 LET p=RAN(100) 60 IF p<=1 LET nx=0: LET ny=0.16*y: GOTO 100 70 IF p<=8 LET nx=0.2*x-0.26*y: LET n...
http://rosettacode.org/wiki/Babbage_problem
Babbage problem
Charles Babbage, looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example: What is the smallest positive integer whose square ends in the digits 269,696? — Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, Electronic Computers, second edition, 1970, p....
#Gambas
Gambas
Public Sub Main() Dim iNum As Long   For iNum = 1 To 100000 If Str(iNum * iNum) Ends "269696" Then Break Next   Print "The lowest number squared that ends in '269696' is " & Str(iNum)   End
http://rosettacode.org/wiki/Balanced_brackets
Balanced brackets
Task: Generate a string with   N   opening brackets   [   and with   N   closing brackets   ],   in some arbitrary order. Determine whether the generated string is balanced; that is, whether it consists entirely of pairs of opening/closing brackets (in that order), none of which mis-nest. Examples (empty) ...
#360_Assembly
360 Assembly
* Balanced brackets 28/04/2016 BALANCE CSECT USING BALANCE,R13 base register and savearea pointer SAVEAREA B STM-SAVEAREA(R15) DC 17F'0' STM STM R14,R12,12(R13) ST R13,4(R15) ST R15,8(R13) LR R13,R15 establish a...
http://rosettacode.org/wiki/Averages/Mode
Averages/Mode
Task[edit] Write a program to find the mode value of a collection. The case where the collection is empty may be ignored. Care must be taken to handle the case where the mode is non-unique. If it is not appropriate or possible to support a general collection, use a vector (array), if possible. If it is not appropriat...
#AWK
AWK
#!/usr/bin/gawk -f { # compute histogram histo[$1] += 1; };   function mode(HIS) { # Computes the mode from Histogram A max = 0; n = 0; for (k in HIS) { val = HIS[k]; if (HIS[k] > max) { max = HIS[k]; n = 1; List[n] = k; } else if (HIS[k] == max) { List[++n] = k; }...
http://rosettacode.org/wiki/Averages/Simple_moving_average
Averages/Simple moving average
Computing the simple moving average of a series of numbers. Task[edit] Create a stateful function/class/instance that takes a period and returns a routine that takes a number as argument and returns a simple moving average of its arguments so far. Description A simple moving average is a method for computing an avera...
#Lua
Lua
function sma(period) local t = {} function sum(a, ...) if a then return a+sum(...) else return 0 end end function average(n) if #t == period then table.remove(t, 1) end t[#t + 1] = n return sum(unpack(t)) / #t end return average end   sma5 = sma(5) sma10 = sma(10) print("SMA 5") for v=1,15 do print(sma5(v...
http://rosettacode.org/wiki/Averages/Pythagorean_means
Averages/Pythagorean means
Task[edit] Compute all three of the Pythagorean means of the set of integers 1 through 10 (inclusive). Show that A ( x 1 , … , x n ) ≥ G ( x 1 , … , x n ) ≥ H ( x 1 , … , x n ) {\displaystyle A(x_{1},\ldots ,x_{n})\geq G(x_{1},\ldots ,x_{n})\geq H(x_{1},\ldots ,x_{n})} for this set of p...
#C
C
#include <stdio.h> #include <stdlib.h> // atoi() #include <math.h> // pow()   int main(int argc, char* argv[]) { int i, count=0; double f, sum=0.0, prod=1.0, resum=0.0;   for (i=1; i<argc; ++i) { f = atof(argv[i]); count++; sum += f; prod *= f; resum += (1.0/f); } //printf(" c:%d\n s:%f\n ...
http://rosettacode.org/wiki/Barnsley_fern
Barnsley fern
A Barnsley fern is a fractal named after British mathematician Michael Barnsley and can be created using an iterated function system (IFS). Task Create this fractal fern, using the following transformations: ƒ1   (chosen 1% of the time) xn + 1 = 0 yn + 1 = 0.16 yn ƒ2   (chosen 85% of the time) ...
#zkl
zkl
fcn barnsleyFern(){ w,h:=640,640; bitmap:=PPM(w+1,h+1,0xFF|FF|FF); // White background   x,y, nx,ny:=0.0, 0.0, 0.0, 0.0; do(0d100_000){ r:=(0).random(100); // [0..100)% if (r<= 1) nx,ny= 0, 0.16*y; else if(r<= 8) nx,ny= 0.2*x - 0.26*y, 0.23*x + 0.22*y + 1.6; else if(r...
http://rosettacode.org/wiki/Barnsley_fern
Barnsley fern
A Barnsley fern is a fractal named after British mathematician Michael Barnsley and can be created using an iterated function system (IFS). Task Create this fractal fern, using the following transformations: ƒ1   (chosen 1% of the time) xn + 1 = 0 yn + 1 = 0.16 yn ƒ2   (chosen 85% of the time) ...
#ZX_Spectrum_Basic
ZX Spectrum Basic
10 REM Fractal Fern 20 PAPER 7: BORDER 7: BRIGHT 1: INK 4: CLS 30 LET maxpoints=20000: LET x=0: LET y=0 40 FOR n=1 TO maxpoints 50 LET p=RND*100 60 IF p<=1 THEN LET nx=0: LET ny=0.16*y: GO TO 100 70 IF p<=8 THEN LET nx=0.2*x-0.26*y: LET ny=0.23*x+0.22*y+1.6: GO TO 100 80 IF p<=15 THEN LET nx=-0.15*x+0.28*y: LET ny=0.2...
http://rosettacode.org/wiki/Balanced_ternary
Balanced ternary
Balanced ternary is a way of representing numbers. Unlike the prevailing binary representation, a balanced ternary integer is in base 3, and each digit can have the values 1, 0, or −1. Examples Decimal 11 = 32 + 31 − 30, thus it can be written as "++−" Decimal 6 = 32 − 31 + 0 × 30, thus it can be written as "+−0" ...
#11l
11l
F py_idiv(a, b) I a >= 0 R a I/ b R (a - b + 1) I/ b   F BalancedTernary_int2ternary(n) I n == 0 R [Int]() V n3 = ((n % 3) + 3) % 3 I n3 == 0 {R [0] [+] BalancedTernary_int2ternary(py_idiv(n, 3))} I n3 == 1 {R [1] [+] BalancedTernary_int2ternary(py_idiv(n, 3))} I n3 == 2 {R [-1] [+] Bal...
http://rosettacode.org/wiki/Babbage_problem
Babbage problem
Charles Babbage, looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example: What is the smallest positive integer whose square ends in the digits 269,696? — Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, Electronic Computers, second edition, 1970, p....
#Go
Go
package main   import "fmt"   func main() { const ( target = 269696 modulus = 1000000 ) for n := 1; ; n++ { // Repeat with n=1, n=2, n=3, ... square := n * n ending := square % modulus if ending == target { fmt.Println("The smallest number whose square ends with", target, "is", n, ) return ...
http://rosettacode.org/wiki/Balanced_brackets
Balanced brackets
Task: Generate a string with   N   opening brackets   [   and with   N   closing brackets   ],   in some arbitrary order. Determine whether the generated string is balanced; that is, whether it consists entirely of pairs of opening/closing brackets (in that order), none of which mis-nest. Examples (empty) ...
#ABAP
ABAP
  CLASS lcl_balanced_brackets DEFINITION. PUBLIC SECTION. CLASS-METHODS: class_constructor,   are_brackets_balanced IMPORTING seq TYPE string RETURNING VALUE(r_are_brackets_balanced) TYPE abap_bool,   get_random_brackets_seq ...
http://rosettacode.org/wiki/Averages/Mode
Averages/Mode
Task[edit] Write a program to find the mode value of a collection. The case where the collection is empty may be ignored. Care must be taken to handle the case where the mode is non-unique. If it is not appropriate or possible to support a general collection, use a vector (array), if possible. If it is not appropriat...
#BBC_BASIC
BBC BASIC
DIM a(10), b(4) a() = 1, 3, 6, 6, 6, 6, 7, 7, 12, 12, 17 b() = 1, 2, 4, 4, 1   DIM modes(10) PRINT "Mode(s) of a() = " ; FOR i% = 1 TO FNmodes(a(), modes()) PRINT ; modes(i%) " " ; NEXT PRINT PRINT "Mode(s) of b() = " ; FOR i% = 1 TO FNmodes(b(), modes...
http://rosettacode.org/wiki/Averages/Mode
Averages/Mode
Task[edit] Write a program to find the mode value of a collection. The case where the collection is empty may be ignored. Care must be taken to handle the case where the mode is non-unique. If it is not appropriate or possible to support a general collection, use a vector (array), if possible. If it is not appropriat...
#BQN
BQN
Mode1 ← ⌈´⊸=∘⊒⊸/ Mode2 ← ⊏∘⊑˘·(⌈´⊸=≠¨)⊸/⊐⊸⊔ arr ← 1‿1‿1‿1‿2‿2‿2‿3‿3‿3‿3‿4‿4‿3‿2‿4‿4‿4‿5‿5‿5‿5‿5 •Show Mode1 arr •Show Mode2 arr
http://rosettacode.org/wiki/Averages/Simple_moving_average
Averages/Simple moving average
Computing the simple moving average of a series of numbers. Task[edit] Create a stateful function/class/instance that takes a period and returns a routine that takes a number as argument and returns a simple moving average of its arguments so far. Description A simple moving average is a method for computing an avera...
#Mathematica_.2F_Wolfram_Language
Mathematica / Wolfram Language
MA[x_List, r_] := Join[Table[Mean[x[[1;;y]]],{y,r-1}], MovingAverage[x,r]]
http://rosettacode.org/wiki/Averages/Pythagorean_means
Averages/Pythagorean means
Task[edit] Compute all three of the Pythagorean means of the set of integers 1 through 10 (inclusive). Show that A ( x 1 , … , x n ) ≥ G ( x 1 , … , x n ) ≥ H ( x 1 , … , x n ) {\displaystyle A(x_{1},\ldots ,x_{n})\geq G(x_{1},\ldots ,x_{n})\geq H(x_{1},\ldots ,x_{n})} for this set of p...
#C.23
C#
using System; using System.Collections.Generic; using System.Diagnostics; using System.Linq;   namespace PythMean { static class Program { static void Main(string[] args) { var nums = from n in Enumerable.Range(1, 10) select (double)n;   var a = nums.Average(); var g ...
http://rosettacode.org/wiki/Balanced_ternary
Balanced ternary
Balanced ternary is a way of representing numbers. Unlike the prevailing binary representation, a balanced ternary integer is in base 3, and each digit can have the values 1, 0, or −1. Examples Decimal 11 = 32 + 31 − 30, thus it can be written as "++−" Decimal 6 = 32 − 31 + 0 × 30, thus it can be written as "+−0" ...
#Ada
Ada
with Ada.Finalization;   package BT is   type Balanced_Ternary is private;   -- conversions function To_Balanced_Ternary (Num : Integer) return Balanced_Ternary; function To_Balanced_Ternary (Str : String) return Balanced_Ternary; function To_Integer (Num : Balanced_Ternary) return Integer; function...
http://rosettacode.org/wiki/Babbage_problem
Babbage problem
Charles Babbage, looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example: What is the smallest positive integer whose square ends in the digits 269,696? — Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, Electronic Computers, second edition, 1970, p....
#Groovy
Groovy
  int n=104; ///starting point while( (n**2)%1000000 != 269696 ) { if (n%10==4) n=n+2; if (n%10==6) n=n+8; } println n+"^2== "+n**2 ;  
http://rosettacode.org/wiki/Balanced_brackets
Balanced brackets
Task: Generate a string with   N   opening brackets   [   and with   N   closing brackets   ],   in some arbitrary order. Determine whether the generated string is balanced; that is, whether it consists entirely of pairs of opening/closing brackets (in that order), none of which mis-nest. Examples (empty) ...
#Action.21
Action!
PROC Generate(BYTE size CHAR ARRAY s) BYTE i,half   s(0)=size half=size RSH 1   FOR i=1 TO half DO s(i)='[ OD   FOR i=half+1 TO size DO s(i)='] OD RETURN   PROC Shuffle(CHAR ARRAY s) BYTE i,j,k,n,len,tmp   len=s(0) n=Rand(len+1) FOR k=1 TO n DO i=Rand(len)+1 j=Rand(len)+1 tmp=s(i) ...
http://rosettacode.org/wiki/Averages/Mode
Averages/Mode
Task[edit] Write a program to find the mode value of a collection. The case where the collection is empty may be ignored. Care must be taken to handle the case where the mode is non-unique. If it is not appropriate or possible to support a general collection, use a vector (array), if possible. If it is not appropriat...
#C
C
#include <stdio.h> #include <stdlib.h>   typedef struct { double v; int c; } vcount;   int cmp_dbl(const void *a, const void *b) { double x = *(const double*)a - *(const double*)b; return x < 0 ? -1 : x > 0; }   int vc_cmp(const void *a, const void *b) { return ((const vcount*)b)->c - ((const vcount*)a)->c; }   int ...
http://rosettacode.org/wiki/Averages/Simple_moving_average
Averages/Simple moving average
Computing the simple moving average of a series of numbers. Task[edit] Create a stateful function/class/instance that takes a period and returns a routine that takes a number as argument and returns a simple moving average of its arguments so far. Description A simple moving average is a method for computing an avera...
#MATLAB_.2F_Octave
MATLAB / Octave
[m,z] = filter(ones(1,P),P,x);
http://rosettacode.org/wiki/Averages/Pythagorean_means
Averages/Pythagorean means
Task[edit] Compute all three of the Pythagorean means of the set of integers 1 through 10 (inclusive). Show that A ( x 1 , … , x n ) ≥ G ( x 1 , … , x n ) ≥ H ( x 1 , … , x n ) {\displaystyle A(x_{1},\ldots ,x_{n})\geq G(x_{1},\ldots ,x_{n})\geq H(x_{1},\ldots ,x_{n})} for this set of p...
#C.2B.2B
C++
#include <vector> #include <iostream> #include <numeric> #include <cmath> #include <algorithm>   double toInverse ( int i ) { return 1.0 / i ; }   int main( ) { std::vector<int> numbers ; for ( int i = 1 ; i < 11 ; i++ ) numbers.push_back( i ) ; double arithmetic_mean = std::accumulate( numbers.beg...
http://rosettacode.org/wiki/Balanced_ternary
Balanced ternary
Balanced ternary is a way of representing numbers. Unlike the prevailing binary representation, a balanced ternary integer is in base 3, and each digit can have the values 1, 0, or −1. Examples Decimal 11 = 32 + 31 − 30, thus it can be written as "++−" Decimal 6 = 32 − 31 + 0 × 30, thus it can be written as "+−0" ...
#ALGOL_68
ALGOL 68
-- Build a balanced ternary, as text, from an integer value or acceptable AppleScript substitute. on BTFromInteger(n) try if (n mod 1 is not 0) then error (n as text) & " isn't an integer value" set n to n as integer on error errMsg display alert "BTFromInteger handler: parameter error" ...
http://rosettacode.org/wiki/Babbage_problem
Babbage problem
Charles Babbage, looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example: What is the smallest positive integer whose square ends in the digits 269,696? — Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, Electronic Computers, second edition, 1970, p....
#Haskell
Haskell
--Calculate squares, testing for the last 6 digits findBabbageNumber :: Integer findBabbageNumber = head (filter ((269696 ==) . flip mod 1000000 . (^ 2)) [1 ..])   main :: IO () main = (putStrLn . unwords) (zipWith (++) (show <$> ([id, (^ 2)] <*> [findBabbageNumber])) [" ^ 2 equals", " !"])
http://rosettacode.org/wiki/Balanced_brackets
Balanced brackets
Task: Generate a string with   N   opening brackets   [   and with   N   closing brackets   ],   in some arbitrary order. Determine whether the generated string is balanced; that is, whether it consists entirely of pairs of opening/closing brackets (in that order), none of which mis-nest. Examples (empty) ...
#Acurity_Architect
Acurity Architect
Using #HASH-OFF
http://rosettacode.org/wiki/Averages/Mode
Averages/Mode
Task[edit] Write a program to find the mode value of a collection. The case where the collection is empty may be ignored. Care must be taken to handle the case where the mode is non-unique. If it is not appropriate or possible to support a general collection, use a vector (array), if possible. If it is not appropriat...
#C.23
C#
using System; using System.Collections; using System.Collections.Generic; using System.Linq;   namespace Test { class Program {   static void Main(string[] args) { /* * We Use Linq To Determine The Mode */ List<int> myList = new List<int>() { 1, ...
http://rosettacode.org/wiki/Averages/Simple_moving_average
Averages/Simple moving average
Computing the simple moving average of a series of numbers. Task[edit] Create a stateful function/class/instance that takes a period and returns a routine that takes a number as argument and returns a simple moving average of its arguments so far. Description A simple moving average is a method for computing an avera...
#Mercury
Mercury
 % state(period, list of floats from [newest, ..., oldest]) :- type state ---> state(int, list(float)).   :- func init(int) = state. init(Period) = state(Period, []).   :- pred sma(float::in, float::out, state::in, state::out) is det. sma(N, Average, state(P, L0), state(P, L)) :- take_upto(P, [N|L0], L), ...
http://rosettacode.org/wiki/Averages/Pythagorean_means
Averages/Pythagorean means
Task[edit] Compute all three of the Pythagorean means of the set of integers 1 through 10 (inclusive). Show that A ( x 1 , … , x n ) ≥ G ( x 1 , … , x n ) ≥ H ( x 1 , … , x n ) {\displaystyle A(x_{1},\ldots ,x_{n})\geq G(x_{1},\ldots ,x_{n})\geq H(x_{1},\ldots ,x_{n})} for this set of p...
#Clojure
Clojure
(use '[clojure.contrib.math :only (expt)])   (defn a-mean [coll] (/ (apply + coll) (count coll)))   (defn g-mean [coll] (expt (apply * coll) (/ (count coll))))   (defn h-mean [coll] (/ (count coll) (apply + (map / coll))))   (let [numbers (range 1 11) a (a-mean numbers) g (g-mean numbers) h (h-mean numbers)...
http://rosettacode.org/wiki/Balanced_ternary
Balanced ternary
Balanced ternary is a way of representing numbers. Unlike the prevailing binary representation, a balanced ternary integer is in base 3, and each digit can have the values 1, 0, or −1. Examples Decimal 11 = 32 + 31 − 30, thus it can be written as "++−" Decimal 6 = 32 − 31 + 0 × 30, thus it can be written as "+−0" ...
#AppleScript
AppleScript
-- Build a balanced ternary, as text, from an integer value or acceptable AppleScript substitute. on BTFromInteger(n) try if (n mod 1 is not 0) then error (n as text) & " isn't an integer value" set n to n as integer on error errMsg display alert "BTFromInteger handler: parameter error" ...
http://rosettacode.org/wiki/Babbage_problem
Babbage problem
Charles Babbage, looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example: What is the smallest positive integer whose square ends in the digits 269,696? — Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, Electronic Computers, second edition, 1970, p....
#J
J
square=: ^&2 modulo1e6=: 1000000&| trythese=: i. 1000000 NB. first million nonnegative integers which=: I. NB. position of true values which 269696=modulo1e6 square trythese NB. right to left <- 25264 99736 150264 224736 275264 349736 400264 474736 525264 5...
http://rosettacode.org/wiki/Balanced_brackets
Balanced brackets
Task: Generate a string with   N   opening brackets   [   and with   N   closing brackets   ],   in some arbitrary order. Determine whether the generated string is balanced; that is, whether it consists entirely of pairs of opening/closing brackets (in that order), none of which mis-nest. Examples (empty) ...
#Ada
Ada
with Ada.Numerics.Discrete_Random; with Ada.Text_IO; with Ada.Strings.Fixed; procedure Brackets is package Random_Positive is new Ada.Numerics.Discrete_Random (Positive); Positive_Generator : Random_Positive.Generator; procedure Swap (Left, Right : in out Character) is Temp : constant Character := Left; ...
http://rosettacode.org/wiki/Averages/Mode
Averages/Mode
Task[edit] Write a program to find the mode value of a collection. The case where the collection is empty may be ignored. Care must be taken to handle the case where the mode is non-unique. If it is not appropriate or possible to support a general collection, use a vector (array), if possible. If it is not appropriat...
#C.2B.2B
C++
#include <iterator> #include <utility> #include <algorithm> #include <list> #include <iostream>   // helper struct template<typename T> struct referring { referring(T const& t): value(t) {} template<typename Iter> bool operator()(std::pair<Iter, int> const& p) const { return *p.first == value; } T cons...
http://rosettacode.org/wiki/Averages/Simple_moving_average
Averages/Simple moving average
Computing the simple moving average of a series of numbers. Task[edit] Create a stateful function/class/instance that takes a period and returns a routine that takes a number as argument and returns a simple moving average of its arguments so far. Description A simple moving average is a method for computing an avera...
#MiniScript
MiniScript
SMA = {} SMA.P = 5 // (a default; may be overridden) SMA.buffer = null SMA.next = function(n) if self.buffer == null then self.buffer = [] self.buffer.push n if self.buffer.len > self.P then self.buffer.pull return self.buffer.sum / self.buffer.len end function   sma3 = new SMA sma3.P = 3 sma5 = new SM...
http://rosettacode.org/wiki/Averages/Mean_time_of_day
Averages/Mean time of day
Task[edit] A particular activity of bats occurs at these times of the day: 23:00:17, 23:40:20, 00:12:45, 00:17:19 Using the idea that there are twenty-four hours in a day, which is analogous to there being 360 degrees in a circle, map times of day to and from angles; and using the ideas of Averages/Mean angle compute ...
#11l
11l
F mean_angle(angles) V x = sum(angles.map(a -> cos(radians(a)))) / angles.len V y = sum(angles.map(a -> sin(radians(a)))) / angles.len R degrees(atan2(y, x))   F mean_time(times) V t = (times.map(time -> time.split(‘:’))) V seconds = (t.map(hms -> (Float(hms[2]) + Int(hms[1]) * 60 + Int(hms[0]) * 3600)))...
http://rosettacode.org/wiki/Averages/Pythagorean_means
Averages/Pythagorean means
Task[edit] Compute all three of the Pythagorean means of the set of integers 1 through 10 (inclusive). Show that A ( x 1 , … , x n ) ≥ G ( x 1 , … , x n ) ≥ H ( x 1 , … , x n ) {\displaystyle A(x_{1},\ldots ,x_{n})\geq G(x_{1},\ldots ,x_{n})\geq H(x_{1},\ldots ,x_{n})} for this set of p...
#CoffeeScript
CoffeeScript
a = [ 1..10 ] arithmetic_mean = (a) -> a.reduce(((s, x) -> s + x), 0) / a.length geometic_mean = (a) -> Math.pow(a.reduce(((s, x) -> s * x), 1), (1 / a.length)) harmonic_mean = (a) -> a.length / a.reduce(((s, x) -> s + 1 / x), 0)   A = arithmetic_mean a G = geometic_mean a H = harmonic_mean a   console.log "A = ", A, "...
http://rosettacode.org/wiki/Balanced_ternary
Balanced ternary
Balanced ternary is a way of representing numbers. Unlike the prevailing binary representation, a balanced ternary integer is in base 3, and each digit can have the values 1, 0, or −1. Examples Decimal 11 = 32 + 31 − 30, thus it can be written as "++−" Decimal 6 = 32 − 31 + 0 × 30, thus it can be written as "+−0" ...
#ATS
ATS
  (* ** This one is ** translated into ATS from the Ocaml entry *)   (* ****** ****** *) // // How to compile: // patscc -DATS_MEMALLOC_LIBC -o bternary bternary.dats // (* ****** ****** *)   #include "share/atspre_staload.hats"   (* ****** ****** *)   datatype btd = P | Z | N; typedef btern = List0(btd)   (* ****** **...
http://rosettacode.org/wiki/Babbage_problem
Babbage problem
Charles Babbage, looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example: What is the smallest positive integer whose square ends in the digits 269,696? — Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, Electronic Computers, second edition, 1970, p....
#Java
Java
public class Test {   public static void main(String[] args) {   // let n be zero int n = 0;   // repeat the following action do {   // increase n by 1 n++;   // while the modulo of n times n is not equal to 269696 } while (n * n % 1000_000 != ...
http://rosettacode.org/wiki/Balanced_brackets
Balanced brackets
Task: Generate a string with   N   opening brackets   [   and with   N   closing brackets   ],   in some arbitrary order. Determine whether the generated string is balanced; that is, whether it consists entirely of pairs of opening/closing brackets (in that order), none of which mis-nest. Examples (empty) ...
#Aime
Aime
unbalanced(data s) { integer b, i;   b = i = 0; while (i + ~s && -1 < b) { b += s[i -= 1] == '[' ? -1 : 1; }   b; }   generate(data b, integer d) { if (d) { d.times(l_bill, list(), -1, '[', ']').l_rand().ucall(b_append, 1, b); } }   main(void) { integer i;   i = 0; ...
http://rosettacode.org/wiki/Averages/Mode
Averages/Mode
Task[edit] Write a program to find the mode value of a collection. The case where the collection is empty may be ignored. Care must be taken to handle the case where the mode is non-unique. If it is not appropriate or possible to support a general collection, use a vector (array), if possible. If it is not appropriat...
#Clojure
Clojure
(defn modes [coll] (let [distrib (frequencies coll) [value freq] [first second] ; name the key/value pairs in the distrib (map) entries sorted (sort-by (comp - freq) distrib) maxfq (freq (first sorted))] (map value (take-while #(= maxfq (freq %)) sorted))))
http://rosettacode.org/wiki/Averages/Simple_moving_average
Averages/Simple moving average
Computing the simple moving average of a series of numbers. Task[edit] Create a stateful function/class/instance that takes a period and returns a routine that takes a number as argument and returns a simple moving average of its arguments so far. Description A simple moving average is a method for computing an avera...
#NetRexx
NetRexx
/* NetRexx */ options replace format comments java crossref symbols nobinary   numeric digits 20   class RAvgSimpleMoving public   properties private window = java.util.Queue period sum   properties constant exMsg = 'Period must be a positive integer'   -- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~...
http://rosettacode.org/wiki/Averages/Mean_time_of_day
Averages/Mean time of day
Task[edit] A particular activity of bats occurs at these times of the day: 23:00:17, 23:40:20, 00:12:45, 00:17:19 Using the idea that there are twenty-four hours in a day, which is analogous to there being 360 degrees in a circle, map times of day to and from angles; and using the ideas of Averages/Mean angle compute ...
#Action.21
Action!
INCLUDE "H6:REALMATH.ACT"   DEFINE PTR="CARD" TYPE Time=[BYTE s,m,h] REAL r60   PROC PrintB2(BYTE b) IF b<10 THEN Put('0) FI PrintB(b) RETURN   PROC PrintTime(Time POINTER t) PrintB2(t.h) Put(':) PrintB2(t.m) Put(':) PrintB2(t.s) RETURN   PROC Decode(CHAR ARRAY st Time POINTER t) CHAR ARRAY tmp   IF st(0)...
http://rosettacode.org/wiki/Averages/Mean_time_of_day
Averages/Mean time of day
Task[edit] A particular activity of bats occurs at these times of the day: 23:00:17, 23:40:20, 00:12:45, 00:17:19 Using the idea that there are twenty-four hours in a day, which is analogous to there being 360 degrees in a circle, map times of day to and from angles; and using the ideas of Averages/Mean angle compute ...
#Ada
Ada
with Ada.Calendar.Formatting; with Ada.Command_Line; with Ada.Numerics.Elementary_Functions; with Ada.Strings.Fixed; with Ada.Text_IO;   procedure Mean_Time_Of_Day is   subtype Time is Ada.Calendar.Time; subtype Time_Of_Day is Ada.Calendar.Day_Duration; subtype Time_String is String (1 .. 8); -- "HH:M...
http://rosettacode.org/wiki/Averages/Pythagorean_means
Averages/Pythagorean means
Task[edit] Compute all three of the Pythagorean means of the set of integers 1 through 10 (inclusive). Show that A ( x 1 , … , x n ) ≥ G ( x 1 , … , x n ) ≥ H ( x 1 , … , x n ) {\displaystyle A(x_{1},\ldots ,x_{n})\geq G(x_{1},\ldots ,x_{n})\geq H(x_{1},\ldots ,x_{n})} for this set of p...
#Common_Lisp
Common Lisp
(defun generic-mean (nums reduce-op final-op) (funcall final-op (reduce reduce-op nums)))   (defun a-mean (nums) (generic-mean nums #'+ (lambda (x) (/ x (length nums)))))   (defun g-mean (nums) (generic-mean nums #'* (lambda (x) (expt x (/ 1 (length nums))))))   (defun h-mean (nums) (generic-mean nums ...
http://rosettacode.org/wiki/Balanced_ternary
Balanced ternary
Balanced ternary is a way of representing numbers. Unlike the prevailing binary representation, a balanced ternary integer is in base 3, and each digit can have the values 1, 0, or −1. Examples Decimal 11 = 32 + 31 − 30, thus it can be written as "++−" Decimal 6 = 32 − 31 + 0 × 30, thus it can be written as "+−0" ...
#AutoHotkey
AutoHotkey
BalancedTernary(n){ k = 0 if abs(n)<2 return n=1?"+":n=0?"0":"-" if n<1 negative := true, n:= -1*n while !break { d := Mod(n, 3**(k+1)) / 3**k d := d=2?-1:d n := n - (d * 3**k) r := (d=-1?"-":d=1?"+":0) . r k++ if (n = 3**k) r := "+" . r , break := true } if negative { StringReplace, r, r, -,...
http://rosettacode.org/wiki/Babbage_problem
Babbage problem
Charles Babbage, looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example: What is the smallest positive integer whose square ends in the digits 269,696? — Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, Electronic Computers, second edition, 1970, p....
#JavaScript
JavaScript
// Every line starting with a double slash will be ignored by the processing machine, // just like these two. // // Since the square root of 269,696 is approximately 519, we create a variable named "n" // and give it this value. n = 519   // The while-condition is in parentheses // * is for multiplication // % is for...
http://rosettacode.org/wiki/Balanced_brackets
Balanced brackets
Task: Generate a string with   N   opening brackets   [   and with   N   closing brackets   ],   in some arbitrary order. Determine whether the generated string is balanced; that is, whether it consists entirely of pairs of opening/closing brackets (in that order), none of which mis-nest. Examples (empty) ...
#ALGOL_68
ALGOL 68
# generates a string of random opening and closing brackets. The number of # # each type of brackets is speccified in length # PROC get brackets = ( INT length ) STRING: BEGIN INT result length = length * 2; [ 1 : result length ]CHAR result; # initialise th...
http://rosettacode.org/wiki/Averages/Mode
Averages/Mode
Task[edit] Write a program to find the mode value of a collection. The case where the collection is empty may be ignored. Care must be taken to handle the case where the mode is non-unique. If it is not appropriate or possible to support a general collection, use a vector (array), if possible. If it is not appropriat...
#CoffeeScript
CoffeeScript
mode = (arr) -> # returns an array with the modes of arr, i.e. the # elements that appear most often in arr counts = {} for elem in arr counts[elem] ||= 0 counts[elem] += 1 max = 0 for key, cnt of counts max = cnt if cnt > max (key for key, cnt of counts when cnt == max)   console.log mode [1,...
http://rosettacode.org/wiki/Averages/Simple_moving_average
Averages/Simple moving average
Computing the simple moving average of a series of numbers. Task[edit] Create a stateful function/class/instance that takes a period and returns a routine that takes a number as argument and returns a simple moving average of its arguments so far. Description A simple moving average is a method for computing an avera...
#Nim
Nim
import deques   proc simplemovingaverage(period: int): auto = assert period > 0   var summ, n = 0.0 values: Deque[float] for i in 1..period: values.addLast(0)   proc sma(x: float): float = values.addLast(x) summ += x - values.popFirst() n = min(n+1, float(period)) result = summ / n  ...
http://rosettacode.org/wiki/Averages/Mean_time_of_day
Averages/Mean time of day
Task[edit] A particular activity of bats occurs at these times of the day: 23:00:17, 23:40:20, 00:12:45, 00:17:19 Using the idea that there are twenty-four hours in a day, which is analogous to there being 360 degrees in a circle, map times of day to and from angles; and using the ideas of Averages/Mean angle compute ...
#AutoHotkey
AutoHotkey
MsgBox, % "The mean time is: " MeanTime(["23:00:17", "23:40:20", "00:12:45", "00:17:19"])   MeanTime(t, x=0, y=0) { static c := ATan(1) / 45 for k, v in t { n := StrSplit(v, ":") r := c * (n[1] * 3600 + n[2] * 60 + n[3]) / 240 x += Cos(r) y += Sin(r) } r := atan2(x, y) / c r := (r < 0 ? r + 360 : r) / 15 ...
http://rosettacode.org/wiki/Averages/Pythagorean_means
Averages/Pythagorean means
Task[edit] Compute all three of the Pythagorean means of the set of integers 1 through 10 (inclusive). Show that A ( x 1 , … , x n ) ≥ G ( x 1 , … , x n ) ≥ H ( x 1 , … , x n ) {\displaystyle A(x_{1},\ldots ,x_{n})\geq G(x_{1},\ldots ,x_{n})\geq H(x_{1},\ldots ,x_{n})} for this set of p...
#D
D
import std.stdio, std.algorithm, std.range, std.functional;   auto aMean(T)(T data) pure nothrow @nogc { return data.sum / data.length; }   auto gMean(T)(T data) pure /*@nogc*/ { return data.reduce!q{a * b} ^^ (1.0 / data.length); }   auto hMean(T)(T data) pure /*@nogc*/ { return data.length / data.reduce!q...
http://rosettacode.org/wiki/Balanced_ternary
Balanced ternary
Balanced ternary is a way of representing numbers. Unlike the prevailing binary representation, a balanced ternary integer is in base 3, and each digit can have the values 1, 0, or −1. Examples Decimal 11 = 32 + 31 − 30, thus it can be written as "++−" Decimal 6 = 32 − 31 + 0 × 30, thus it can be written as "+−0" ...
#C
C
#include <stdio.h> #include <string.h>   void reverse(char *p) { size_t len = strlen(p); char *r = p + len - 1; while (p < r) { *p ^= *r; *r ^= *p; *p++ ^= *r--; } }   void to_bt(int n, char *b) { static char d[] = { '0', '+', '-' }; static int v[] = { 0, 1, -1 };   c...
http://rosettacode.org/wiki/Babbage_problem
Babbage problem
Charles Babbage, looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example: What is the smallest positive integer whose square ends in the digits 269,696? — Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, Electronic Computers, second edition, 1970, p....
#jq
jq
$ jq -n '1 | until( .*. | tostring | test("269696$"); .+1)' 25264
http://rosettacode.org/wiki/Babbage_problem
Babbage problem
Charles Babbage, looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example: What is the smallest positive integer whose square ends in the digits 269,696? — Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, Electronic Computers, second edition, 1970, p....
#Julia
Julia
  function babbage(x::Integer) i = big(0) d = floor(log10(x)) + 1 while i ^ 2 % 10 ^ d != x i += 1 end return i end  
http://rosettacode.org/wiki/Balanced_brackets
Balanced brackets
Task: Generate a string with   N   opening brackets   [   and with   N   closing brackets   ],   in some arbitrary order. Determine whether the generated string is balanced; that is, whether it consists entirely of pairs of opening/closing brackets (in that order), none of which mis-nest. Examples (empty) ...
#ANTLR
ANTLR
  grammar balancedBrackets ;   options { language = Java; }   bb : {System.out.print("input is: ");} (balancedBrackets {System.out.print($balancedBrackets.text);})* NEWLINE {System.out.println();} ; balancedBrackets : OpenBracket balancedBrackets* CloseBracket ; OpenBracket : '[' ; CloseBracket : ']' ; NEWLINE ...
http://rosettacode.org/wiki/Averages/Mode
Averages/Mode
Task[edit] Write a program to find the mode value of a collection. The case where the collection is empty may be ignored. Care must be taken to handle the case where the mode is non-unique. If it is not appropriate or possible to support a general collection, use a vector (array), if possible. If it is not appropriat...
#Common_Lisp
Common Lisp
(defun mode (sequence &rest hash-table-options) (let ((frequencies (apply #'make-hash-table hash-table-options))) (map nil (lambda (element) (incf (gethash element frequencies 0))) sequence) (let ((modes '()) (hifreq 0 )) (maphash (lambda (element frequency) ...
http://rosettacode.org/wiki/Averages/Simple_moving_average
Averages/Simple moving average
Computing the simple moving average of a series of numbers. Task[edit] Create a stateful function/class/instance that takes a period and returns a routine that takes a number as argument and returns a simple moving average of its arguments so far. Description A simple moving average is a method for computing an avera...
#Objeck
Objeck
  use Collection;   class MovingAverage { @window : FloatQueue; @period : Int; @sum : Float;   New(period : Int) { @window := FloatQueue->New(); @period := period; }   method : NewNum(num : Float) ~ Nil { @sum += num; @window->Add(num); if(@window->Size() > @period) { @sum -= @win...
http://rosettacode.org/wiki/Averages/Mean_time_of_day
Averages/Mean time of day
Task[edit] A particular activity of bats occurs at these times of the day: 23:00:17, 23:40:20, 00:12:45, 00:17:19 Using the idea that there are twenty-four hours in a day, which is analogous to there being 360 degrees in a circle, map times of day to and from angles; and using the ideas of Averages/Mean angle compute ...
#AWK
AWK
#!/usr/bin/awk -f { c = atan2(0,-1)/(12*60*60); x=0.0; y=0.0; for (i=1; i<=NF; i++) { split($i,a,":"); p = (a[1]*3600+a[2]*60+a[3])*c; x += sin(p); y += cos(p); } p = atan2(x,y)/c; if (p<0) p += 24*60*60; print strftime("%T",p,1); }
http://rosettacode.org/wiki/AVL_tree
AVL tree
This page uses content from Wikipedia. The original article was at AVL tree. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance) In computer science, an AVL tree is a self-balancing binary search tree....
#AArch64_Assembly
AArch64 Assembly
  /* ARM assembly AARCH64 Raspberry PI 3B */ /* program avltree64.s */   /*******************************************/ /* Constantes file */ /*******************************************/ /* for this file see task include a file in language AArch64 assembly*/ .include "../includeConstantesARM6...
http://rosettacode.org/wiki/Averages/Mean_angle
Averages/Mean angle
When calculating the average or mean of an angle one has to take into account how angles wrap around so that any angle in degrees plus any integer multiple of 360 degrees is a measure of the same angle. If one wanted an average direction of the wind over two readings where the first reading was of 350 degrees and the ...
#11l
11l
F mean_angle(angles) V x = sum(angles.map(a -> cos(radians(a)))) / angles.len V y = sum(angles.map(a -> sin(radians(a)))) / angles.len R degrees(atan2(y, x))   print(mean_angle([350, 10])) print(mean_angle([90, 180, 270, 360])) print(mean_angle([10, 20, 30]))
http://rosettacode.org/wiki/Averages/Median
Averages/Median
Task[edit] Write a program to find the   median   value of a vector of floating-point numbers. The program need not handle the case where the vector is empty, but must handle the case where there are an even number of elements.   In that case, return the average of the two middle values. There are several approaches ...
#11l
11l
F median(aray) V srtd = sorted(aray) V alen = srtd.len R 0.5 * (srtd[(alen - 1) I/ 2] + srtd[alen I/ 2])   print(median([4.1, 5.6, 7.2, 1.7, 9.3, 4.4, 3.2])) print(median([4.1, 7.2, 1.7, 9.3, 4.4, 3.2]))
http://rosettacode.org/wiki/Averages/Pythagorean_means
Averages/Pythagorean means
Task[edit] Compute all three of the Pythagorean means of the set of integers 1 through 10 (inclusive). Show that A ( x 1 , … , x n ) ≥ G ( x 1 , … , x n ) ≥ H ( x 1 , … , x n ) {\displaystyle A(x_{1},\ldots ,x_{n})\geq G(x_{1},\ldots ,x_{n})\geq H(x_{1},\ldots ,x_{n})} for this set of p...
#Delphi
Delphi
program AveragesPythagoreanMeans;   {$APPTYPE CONSOLE}   uses Types, Math;   function ArithmeticMean(aArray: TDoubleDynArray): Double; var lValue: Double; begin Result := 0; for lValue in aArray do Result := Result + lValue; if Result > 0 then Result := Result / Length(aArray); end;   function Geometric...
http://rosettacode.org/wiki/Balanced_ternary
Balanced ternary
Balanced ternary is a way of representing numbers. Unlike the prevailing binary representation, a balanced ternary integer is in base 3, and each digit can have the values 1, 0, or −1. Examples Decimal 11 = 32 + 31 − 30, thus it can be written as "++−" Decimal 6 = 32 − 31 + 0 × 30, thus it can be written as "+−0" ...
#C.23
C#
using System; using System.Text; using System.Collections.Generic;   public class BalancedTernary { public static void Main() { BalancedTernary a = new BalancedTernary("+-0++0+"); System.Console.WriteLine("a: " + a + " = " + a.ToLong()); BalancedTernary b = new BalancedTernary(-436); System.Console.WriteLine(...
http://rosettacode.org/wiki/Babbage_problem
Babbage problem
Charles Babbage, looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example: What is the smallest positive integer whose square ends in the digits 269,696? — Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, Electronic Computers, second edition, 1970, p....
#Kotlin
Kotlin
fun main(args: Array<String>) { var number = 520L var square = 520 * 520L   while (true) { val last6 = square.toString().takeLast(6) if (last6 == "269696") { println("The smallest number is $number whose square is $square") return } number += 2 ...
http://rosettacode.org/wiki/Balanced_brackets
Balanced brackets
Task: Generate a string with   N   opening brackets   [   and with   N   closing brackets   ],   in some arbitrary order. Determine whether the generated string is balanced; that is, whether it consists entirely of pairs of opening/closing brackets (in that order), none of which mis-nest. Examples (empty) ...
#APL
APL
gen ← (⊂+?+)⍨ ⌷ ('[]'/⍨⊢) bal ← (((|≡⊢)+\) ∧ 0=+/)(+⌿1 ¯1×[1]'[]'∘.=⊢)
http://rosettacode.org/wiki/Averages/Mode
Averages/Mode
Task[edit] Write a program to find the mode value of a collection. The case where the collection is empty may be ignored. Care must be taken to handle the case where the mode is non-unique. If it is not appropriate or possible to support a general collection, use a vector (array), if possible. If it is not appropriat...
#D
D
import std.stdio, std.algorithm, std.array;   auto mode(T)(T[] items) pure /*nothrow @safe*/ { int[T] aa; foreach (item; items) aa[item]++; immutable m = aa.byValue.reduce!max; return aa.byKey.filter!(k => aa[k] == m); }   void main() /*@safe*/ { auto data = [1, 2, 3, 1, 2, 4, 2, 5, 3, 3, 1,...
http://rosettacode.org/wiki/Averages/Simple_moving_average
Averages/Simple moving average
Computing the simple moving average of a series of numbers. Task[edit] Create a stateful function/class/instance that takes a period and returns a routine that takes a number as argument and returns a simple moving average of its arguments so far. Description A simple moving average is a method for computing an avera...
#Objective-C
Objective-C
#import <Foundation/Foundation.h>   @interface MovingAverage : NSObject { unsigned int period; NSMutableArray *window; double sum; } - (instancetype)initWithPeriod:(unsigned int)thePeriod; @end   @implementation MovingAverage   // init with default period - (instancetype)init { self = [super init]; if(self) { pe...
http://rosettacode.org/wiki/Averages/Mean_time_of_day
Averages/Mean time of day
Task[edit] A particular activity of bats occurs at these times of the day: 23:00:17, 23:40:20, 00:12:45, 00:17:19 Using the idea that there are twenty-four hours in a day, which is analogous to there being 360 degrees in a circle, map times of day to and from angles; and using the ideas of Averages/Mean angle compute ...
#BBC_BASIC
BBC BASIC
nTimes% = 4 DATA 23:00:17, 23:40:20, 00:12:45, 00:17:19   DIM angles(nTimes%-1) FOR N% = 0 TO nTimes%-1 READ tim$ angles(N%) = FNtimetoangle(tim$) NEXT PRINT "Mean time is " FNangletotime(FNmeanangle(angles(), nTimes%)) END   DEF FNtimetoangle(t$) LO...
http://rosettacode.org/wiki/Averages/Mean_time_of_day
Averages/Mean time of day
Task[edit] A particular activity of bats occurs at these times of the day: 23:00:17, 23:40:20, 00:12:45, 00:17:19 Using the idea that there are twenty-four hours in a day, which is analogous to there being 360 degrees in a circle, map times of day to and from angles; and using the ideas of Averages/Mean angle compute ...
#C
C
#include<stdlib.h> #include<math.h> #include<stdio.h>   typedef struct { int hour, minute, second; } digitime;   double timeToDegrees (digitime time) { return (360 * time.hour / 24.0 + 360 * time.minute / (24 * 60.0) + 360 * time.second / (24 * 3600.0)); }   digitime timeFromDegrees (double angle) { dig...
http://rosettacode.org/wiki/AVL_tree
AVL tree
This page uses content from Wikipedia. The original article was at AVL tree. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance) In computer science, an AVL tree is a self-balancing binary search tree....
#Ada
Ada
  with Ada.Text_IO, Ada.Finalization, Ada.Unchecked_Deallocation;   procedure Main is   generic type Key_Type is private; with function "<"(a, b : Key_Type) return Boolean is <>; with function "="(a, b : Key_Type) return Boolean is <>; with function "<="(a, b : Key_Type) return Boolean is <>;...
http://rosettacode.org/wiki/Averages/Mean_angle
Averages/Mean angle
When calculating the average or mean of an angle one has to take into account how angles wrap around so that any angle in degrees plus any integer multiple of 360 degrees is a measure of the same angle. If one wanted an average direction of the wind over two readings where the first reading was of 350 degrees and the ...
#Ada
Ada
with Ada.Text_IO, Ada.Numerics.Generic_Elementary_Functions;   procedure Mean_Angles is   type X_Real is digits 4; -- or more digits for improved precision subtype Real is X_Real range 0.0 .. 360.0; -- the range of interest type Angles is array(Positive range <>) of Real;   procedure Put(R: Real) is ...
http://rosettacode.org/wiki/Averages/Median
Averages/Median
Task[edit] Write a program to find the   median   value of a vector of floating-point numbers. The program need not handle the case where the vector is empty, but must handle the case where there are an even number of elements.   In that case, return the average of the two middle values. There are several approaches ...
#Action.21
Action!
INCLUDE "H6:REALMATH.ACT"   DEFINE PTR="CARD"   PROC Sort(PTR ARRAY a INT count) INT i,j,minpos REAL POINTER tmp   FOR i=0 TO count-2 DO minpos=i FOR j=i+1 TO count-1 DO IF RealGreaterOrEqual(a(minpos),a(j)) THEN minpos=j FI OD   IF minpos#i THEN tmp=a(i) a(i)...
http://rosettacode.org/wiki/Averages/Pythagorean_means
Averages/Pythagorean means
Task[edit] Compute all three of the Pythagorean means of the set of integers 1 through 10 (inclusive). Show that A ( x 1 , … , x n ) ≥ G ( x 1 , … , x n ) ≥ H ( x 1 , … , x n ) {\displaystyle A(x_{1},\ldots ,x_{n})\geq G(x_{1},\ldots ,x_{n})\geq H(x_{1},\ldots ,x_{n})} for this set of p...
#E
E
def makeMean(base, include, finish) { return def mean(numbers) { var count := 0 var acc := base for x in numbers { acc := include(acc, x) count += 1 } return finish(acc, count) } }   def A := makeMean(0, fn b,x { b+x }, fn acc,n { acc / n })...
http://rosettacode.org/wiki/Balanced_ternary
Balanced ternary
Balanced ternary is a way of representing numbers. Unlike the prevailing binary representation, a balanced ternary integer is in base 3, and each digit can have the values 1, 0, or −1. Examples Decimal 11 = 32 + 31 − 30, thus it can be written as "++−" Decimal 6 = 32 − 31 + 0 × 30, thus it can be written as "+−0" ...
#C.2B.2B
C++
#include <iostream> #include <string> #include <climits> using namespace std;   class BalancedTernary { protected: // Store the value as a reversed string of +, 0 and - characters string value;   // Helper function to change a balanced ternary character to an integer int charToInt(char c) const { if (c == '0') ...
http://rosettacode.org/wiki/Babbage_problem
Babbage problem
Charles Babbage, looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example: What is the smallest positive integer whose square ends in the digits 269,696? — Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, Electronic Computers, second edition, 1970, p....
#Liberty_BASIC
Liberty BASIC
  [start] if right$(str$(n*n),6)="269696" then print "n = "; using("###,###", n); print " n*n = "; using("###,###,###,###", n*n) end if if n<100000 then n=n+1: goto [start] print "Program complete."  
http://rosettacode.org/wiki/Balanced_brackets
Balanced brackets
Task: Generate a string with   N   opening brackets   [   and with   N   closing brackets   ],   in some arbitrary order. Determine whether the generated string is balanced; that is, whether it consists entirely of pairs of opening/closing brackets (in that order), none of which mis-nest. Examples (empty) ...
#AppleScript
AppleScript
-- CHECK NESTING OF SQUARE BRACKET SEQUENCES ---------------------------------   -- Zero-based index of the first problem (-1 if none found):   -- imbalance :: String -> Integer on imbalance(strBrackets) script on errorIndex(xs, iDepth, iIndex) set lngChars to length of xs if lngChar...
http://rosettacode.org/wiki/Averages/Mode
Averages/Mode
Task[edit] Write a program to find the mode value of a collection. The case where the collection is empty may be ignored. Care must be taken to handle the case where the mode is non-unique. If it is not appropriate or possible to support a general collection, use a vector (array), if possible. If it is not appropriat...
#Delphi
Delphi
  program AveragesMode;   {$APPTYPE CONSOLE}   uses System.SysUtils, System.Generics.Collections, System.Generics.Defaults;   type TCounts = TDictionary<Integer, Integer>;   TPair = record value, count: Integer; constructor Create(value, count: Integer); end;   TPairs = TArray<TPair>;   var dict...
http://rosettacode.org/wiki/Averages/Simple_moving_average
Averages/Simple moving average
Computing the simple moving average of a series of numbers. Task[edit] Create a stateful function/class/instance that takes a period and returns a routine that takes a number as argument and returns a simple moving average of its arguments so far. Description A simple moving average is a method for computing an avera...
#OCaml
OCaml
let sma (n, s, q) x = let l = Queue.length q and s = s +. x in Queue.push x q; if l < n then (n, s, q), s /. float (l + 1) else ( let s = s -. Queue.pop q in (n, s, q), s /. float l )   let _ = let periodLst = [ 3; 5 ] in let series = [ 1.; 2.; 3.; 4.; 5.; 5.; 4.; 3.; 2.; 1. ] in   List.ite...
http://rosettacode.org/wiki/Averages/Mean_time_of_day
Averages/Mean time of day
Task[edit] A particular activity of bats occurs at these times of the day: 23:00:17, 23:40:20, 00:12:45, 00:17:19 Using the idea that there are twenty-four hours in a day, which is analogous to there being 360 degrees in a circle, map times of day to and from angles; and using the ideas of Averages/Mean angle compute ...
#C.23
C#
using System; using System.Collections.Generic; using System.Linq; using System.Text;   namespace RosettaCode { class Program { static void Main(string[] args) { Func<TimeSpan, double> TimeToDegrees = (time) => 360 * time.Hours / 24.0 + 360 * time.Min...
http://rosettacode.org/wiki/AVL_tree
AVL tree
This page uses content from Wikipedia. The original article was at AVL tree. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance) In computer science, an AVL tree is a self-balancing binary search tree....
#Agda
Agda
  module Avl where   -- The Peano naturals data Nat : Set where z : Nat s : Nat -> Nat   -- An AVL tree's type is indexed by a natural. -- Avl N is the type of AVL trees of depth N. There arj 3 different -- node constructors: -- Left: The left subtree is one level deeper than the right -- Balanced: The subtrees h...
http://rosettacode.org/wiki/Averages/Mean_angle
Averages/Mean angle
When calculating the average or mean of an angle one has to take into account how angles wrap around so that any angle in degrees plus any integer multiple of 360 degrees is a measure of the same angle. If one wanted an average direction of the wind over two readings where the first reading was of 350 degrees and the ...
#Aime
Aime
real mean(list l) { integer i; real x, y;   x = y = 0;   i = 0; while (i < l_length(l)) { x += Gcos(l[i]); y += Gsin(l[i]); i += 1; }   return Gatan2(y / l_length(l), x / l_length(l)); }   integer main(void) { o_form("mean of 1st set: /d6/\n", mean(l_effect(350, 1...
http://rosettacode.org/wiki/Averages/Mean_angle
Averages/Mean angle
When calculating the average or mean of an angle one has to take into account how angles wrap around so that any angle in degrees plus any integer multiple of 360 degrees is a measure of the same angle. If one wanted an average direction of the wind over two readings where the first reading was of 350 degrees and the ...
#ALGOL_68
ALGOL 68
#!/usr/bin/a68g --script # # -*- coding: utf-8 -*- #   PROC mean angle = ([]#LONG# REAL angles)#LONG# REAL: ( INT size = UPB angles - LWB angles + 1; #LONG# REAL y part := 0, x part := 0; FOR i FROM LWB angles TO UPB angles DO x part +:= #long# cos (angles[i] * #long# pi / 180); y part +:= #long# sin ...
http://rosettacode.org/wiki/Averages/Median
Averages/Median
Task[edit] Write a program to find the   median   value of a vector of floating-point numbers. The program need not handle the case where the vector is empty, but must handle the case where there are an even number of elements.   In that case, return the average of the two middle values. There are several approaches ...
#Ada
Ada
with Ada.Text_IO, Ada.Float_Text_IO;   procedure FindMedian is   f: array(1..10) of float := ( 4.4, 2.3, -1.7, 7.5, 6.6, 0.0, 1.9, 8.2, 9.3, 4.5 ); min_idx: integer; min_val, median_val, swap: float;   begin for i in f'range loop min_idx := i; min_val := f(i); for j in i+1 .. f'l...
http://rosettacode.org/wiki/Averages/Pythagorean_means
Averages/Pythagorean means
Task[edit] Compute all three of the Pythagorean means of the set of integers 1 through 10 (inclusive). Show that A ( x 1 , … , x n ) ≥ G ( x 1 , … , x n ) ≥ H ( x 1 , … , x n ) {\displaystyle A(x_{1},\ldots ,x_{n})\geq G(x_{1},\ldots ,x_{n})\geq H(x_{1},\ldots ,x_{n})} for this set of p...
#EchoLisp
EchoLisp
  (define (A xs) (// (for/sum ((x xs)) x) (length xs)))   (define (G xs) (expt (for/product ((x xs)) x) (// (length xs))))   (define (H xs) (// (length xs) (for/sum ((x xs)) (// x))))   (define xs (range 1 11)) (and (>= (A xs) (G xs)) (>= (G xs) (H xs))) → #t  
http://rosettacode.org/wiki/Balanced_ternary
Balanced ternary
Balanced ternary is a way of representing numbers. Unlike the prevailing binary representation, a balanced ternary integer is in base 3, and each digit can have the values 1, 0, or −1. Examples Decimal 11 = 32 + 31 − 30, thus it can be written as "++−" Decimal 6 = 32 − 31 + 0 × 30, thus it can be written as "+−0" ...
#Common_Lisp
Common Lisp
;;; balanced ternary ;;; represented as a list of 0, 1 or -1s, with least significant digit first   ;;; convert ternary to integer (defun bt-integer (b) (reduce (lambda (x y) (+ x (* 3 y))) b :from-end t :initial-value 0))   ;;; convert integer to ternary (defun integer-bt (n) (if (zerop n) nil (case (mod n 3) ...
http://rosettacode.org/wiki/Babbage_problem
Babbage problem
Charles Babbage, looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example: What is the smallest positive integer whose square ends in the digits 269,696? — Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, Electronic Computers, second edition, 1970, p....
#Limbo
Limbo
implement Babbage;   include "sys.m"; sys: Sys; print: import sys; include "draw.m"; draw: Draw;   Babbage : module { init : fn(ctxt : ref Draw->Context, args : list of string); };   init (ctxt: ref Draw->Context, args: list of string) { sys = load Sys Sys->PATH; current := 0; while ((current * current) % 100000...
http://rosettacode.org/wiki/Babbage_problem
Babbage problem
Charles Babbage, looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example: What is the smallest positive integer whose square ends in the digits 269,696? — Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, Electronic Computers, second edition, 1970, p....
#Lua
Lua
-- get smallest number <= sqrt(269696) k = math.floor(math.sqrt(269696))   -- if root is odd -> make it even if k % 2 == 1 then k = k - 1 end   -- cycle through numbers while not ((k * k) % 1000000 == 269696) do k = k + 2 end   io.write(string.format("%d * %d = %d\n", k, k, k * k))
http://rosettacode.org/wiki/Balanced_brackets
Balanced brackets
Task: Generate a string with   N   opening brackets   [   and with   N   closing brackets   ],   in some arbitrary order. Determine whether the generated string is balanced; that is, whether it consists entirely of pairs of opening/closing brackets (in that order), none of which mis-nest. Examples (empty) ...
#ARM_Assembly
ARM Assembly
  .data   balanced_message: .ascii "OK\n"   unbalanced_message: .ascii "NOT OK\n"     .text   .equ balanced_msg_len, 3 .equ unbalanced_msg_len, 7     BalancedBrackets:   mov r1, #0 mov r2, #0 mov r3, #0   process_bracket: ldrb r2, [r0, r1]   cmp r2, #0 beq evaluate_balance   cmp r2, #'[' ...
http://rosettacode.org/wiki/Averages/Mode
Averages/Mode
Task[edit] Write a program to find the mode value of a collection. The case where the collection is empty may be ignored. Care must be taken to handle the case where the mode is non-unique. If it is not appropriate or possible to support a general collection, use a vector (array), if possible. If it is not appropriat...
#E
E
pragma.enable("accumulator") def mode(values) { def counts := [].asMap().diverge() var maxCount := 0 for v in values { maxCount max= (counts[v] := counts.fetch(v, fn{0}) + 1) } return accum [].asSet() for v => ==maxCount in counts { _.with(v) } }
http://rosettacode.org/wiki/Averages/Simple_moving_average
Averages/Simple moving average
Computing the simple moving average of a series of numbers. Task[edit] Create a stateful function/class/instance that takes a period and returns a routine that takes a number as argument and returns a simple moving average of its arguments so far. Description A simple moving average is a method for computing an avera...
#Oforth
Oforth
import: parallel   : createSMA(period) | ch | Channel new [ ] over send drop ->ch #[ ch receive + left(period) dup avg swap ch send drop ] ;
http://rosettacode.org/wiki/Averages/Mean_time_of_day
Averages/Mean time of day
Task[edit] A particular activity of bats occurs at these times of the day: 23:00:17, 23:40:20, 00:12:45, 00:17:19 Using the idea that there are twenty-four hours in a day, which is analogous to there being 360 degrees in a circle, map times of day to and from angles; and using the ideas of Averages/Mean angle compute ...
#C.2B.2B
C++
#include <iomanip> #include <iostream> #include <vector>   #define _USE_MATH_DEFINES #include <math.h>   struct Time { int hour, minute, second;   friend std::ostream &operator<<(std::ostream &, const Time &); };   std::ostream &operator<<(std::ostream &os, const Time &t) { return os << std::setfill('0') ...
http://rosettacode.org/wiki/AVL_tree
AVL tree
This page uses content from Wikipedia. The original article was at AVL tree. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance) In computer science, an AVL tree is a self-balancing binary search tree....
#ARM_Assembly
ARM Assembly
  /* ARM assembly Raspberry PI */ /* program avltree2.s */   /* REMARK 1 : this program use routines in a include file see task Include a file language arm assembly for the routine affichageMess conversion10 see at end of this program the instruction include */   /***************************************...
http://rosettacode.org/wiki/Averages/Mean_angle
Averages/Mean angle
When calculating the average or mean of an angle one has to take into account how angles wrap around so that any angle in degrees plus any integer multiple of 360 degrees is a measure of the same angle. If one wanted an average direction of the wind over two readings where the first reading was of 350 degrees and the ...
#AutoHotkey
AutoHotkey
Angles := [[350, 10], [90, 180, 270, 360], [10, 20, 30]] MsgBox, % MeanAngle(Angles[1]) "`n" . MeanAngle(Angles[2]) "`n" . MeanAngle(Angles[3])   MeanAngle(a, x=0, y=0) { static c := ATan(1) / 45 for k, v in a { x += Cos(v * c) / a.MaxIndex() y += Sin(v * c) / a.MaxIndex() } return atan2(x, y) / c }   atan...
http://rosettacode.org/wiki/Averages/Median
Averages/Median
Task[edit] Write a program to find the   median   value of a vector of floating-point numbers. The program need not handle the case where the vector is empty, but must handle the case where there are an even number of elements.   In that case, return the average of the two middle values. There are several approaches ...
#ALGOL_68
ALGOL 68
INT max_elements = 1000000;   # Return the k-th smallest item in array x of length len # PROC quick_select = (INT k, REF[]REAL x) REAL: BEGIN   PROC swap = (INT a, b) VOID: BEGIN REAL t = x[a]; x[a] := x[b]; x[b] := t END;   INT left := 1, right := UPB x; INT pos, i; ...
http://rosettacode.org/wiki/Averages/Pythagorean_means
Averages/Pythagorean means
Task[edit] Compute all three of the Pythagorean means of the set of integers 1 through 10 (inclusive). Show that A ( x 1 , … , x n ) ≥ G ( x 1 , … , x n ) ≥ H ( x 1 , … , x n ) {\displaystyle A(x_{1},\ldots ,x_{n})\geq G(x_{1},\ldots ,x_{n})\geq H(x_{1},\ldots ,x_{n})} for this set of p...
#Elixir
Elixir
defmodule Means do def arithmetic(list) do Enum.sum(list) / length(list) end def geometric(list) do  :math.pow(Enum.reduce(list, &(*/2)), 1 / length(list)) end def harmonic(list) do 1 / arithmetic(Enum.map(list, &(1 / &1))) end end   list = Enum.to_list(1..10) IO.puts "Arithmetic mean: #{am = ...
http://rosettacode.org/wiki/Balanced_ternary
Balanced ternary
Balanced ternary is a way of representing numbers. Unlike the prevailing binary representation, a balanced ternary integer is in base 3, and each digit can have the values 1, 0, or −1. Examples Decimal 11 = 32 + 31 − 30, thus it can be written as "++−" Decimal 6 = 32 − 31 + 0 × 30, thus it can be written as "+−0" ...
#D
D
import std.stdio, std.bigint, std.range, std.algorithm;   struct BalancedTernary { // Represented as a list of 0, 1 or -1s, // with least significant digit first. enum Dig : byte { N=-1, Z=0, P=+1 } // Digit. const Dig[] digits;   // This could also be a BalancedTernary template argument. static...
http://rosettacode.org/wiki/Babbage_problem
Babbage problem
Charles Babbage, looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example: What is the smallest positive integer whose square ends in the digits 269,696? — Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, Electronic Computers, second edition, 1970, p....
#M2000_Interpreter
M2000 Interpreter
Def Long k=1000000, T=269696, n n=Sqrt(269696) For n=n to k { If n^2 mod k = T Then Exit } Report format$("The smallest number whose square ends in {0} is {1}, Its square is {2}", T, n, n**2)  
http://rosettacode.org/wiki/Babbage_problem
Babbage problem
Charles Babbage, looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example: What is the smallest positive integer whose square ends in the digits 269,696? — Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, Electronic Computers, second edition, 1970, p....
#Mathematica.2FWolfram_Language
Mathematica/Wolfram Language
Solve[Mod[x^2, 10^6] == 269696 && 0 <= x <= 99736, x, Integers]
http://rosettacode.org/wiki/Balanced_brackets
Balanced brackets
Task: Generate a string with   N   opening brackets   [   and with   N   closing brackets   ],   in some arbitrary order. Determine whether the generated string is balanced; that is, whether it consists entirely of pairs of opening/closing brackets (in that order), none of which mis-nest. Examples (empty) ...
#Arturo
Arturo
isBalanced: function [s][ cnt: 0   loop split s [ch][ if? ch="]" [ cnt: cnt-1 if cnt<0 -> return false ] else [ if ch="[" -> cnt: cnt+1 ] ]   cnt=0 ]   loop 1..10 'i [ str: join map 0..(2*i)-1 [x][ sample ["[" "]"]]   prints str   if? isBalanced str -> print " OK" else -> print " Not...
http://rosettacode.org/wiki/Averages/Mode
Averages/Mode
Task[edit] Write a program to find the mode value of a collection. The case where the collection is empty may be ignored. Care must be taken to handle the case where the mode is non-unique. If it is not appropriate or possible to support a general collection, use a vector (array), if possible. If it is not appropriat...
#EchoLisp
EchoLisp
  (define (modes L) (define G (group* L)) ;; sorts and group equal items (define cardmax (for/max [(g G)] (length g))) (map first (filter (lambda(g) (= cardmax (length g))) G)))   (modes '( a b c a d e f)) → (a) (modes (iota 6)) → (0 1 2 3 4 5) (modes '(x)) → (x) (modes '(🎾 🏉 ☕️ 🎾 🎲 🎯 🎺 ☕️ 🎲 🎸 🎻...
http://rosettacode.org/wiki/Averages/Simple_moving_average
Averages/Simple moving average
Computing the simple moving average of a series of numbers. Task[edit] Create a stateful function/class/instance that takes a period and returns a routine that takes a number as argument and returns a simple moving average of its arguments so far. Description A simple moving average is a method for computing an avera...
#ooRexx
ooRexx
  testdata = .array~of(1, 2, 3, 4, 5, 5, 4, 3, 2, 1)   -- run with different period sizes loop period over .array~of(3, 5) say "Period size =" period say movingaverage = .movingaverage~new(period) loop number over testdata average = movingaverage~addnumber(number) say " Next number =" ...
http://rosettacode.org/wiki/Averages/Mean_time_of_day
Averages/Mean time of day
Task[edit] A particular activity of bats occurs at these times of the day: 23:00:17, 23:40:20, 00:12:45, 00:17:19 Using the idea that there are twenty-four hours in a day, which is analogous to there being 360 degrees in a circle, map times of day to and from angles; and using the ideas of Averages/Mean angle compute ...
#Common_Lisp
Common Lisp
;; * Loading the split-sequence library (eval-when (:compile-toplevel :load-toplevel :execute) (ql:quickload '("split-sequence")))   ;; * The package definition (defpackage :mean-time-of-day (:use :common-lisp :iterate :split-sequence)) (in-package :mean-time-of-day)   ;; * The data (defparameter *time-values* '(...