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http://rosettacode.org/wiki/Binary_strings
Binary strings
Many languages have powerful and useful (binary safe) string manipulation functions, while others don't, making it harder for these languages to accomplish some tasks. This task is about creating functions to handle binary strings (strings made of arbitrary bytes, i.e. byte strings according to Wikipedia) for those la...
#Visual_Basic_.NET
Visual Basic .NET
Module Module1   Sub Main() 'string creation Dim x = "hello world"   ' mark string for garbage collection x = Nothing   ' string assignment with a null byte x = "ab" + Chr(0) Console.WriteLine(x) Console.WriteLine(x.Length)   'string comparison...
http://rosettacode.org/wiki/Binary_digits
Binary digits
Task Create and display the sequence of binary digits for a given   non-negative integer. The decimal value   5   should produce an output of   101 The decimal value   50   should produce an output of   110010 The decimal value   9000   should produce an output of   10001100101000 ...
#CLU
CLU
binary = proc (n: int) returns (string) bin: string := "" while n > 0 do bin := string$c2s(char$i2c(48 + n // 2)) || bin n := n / 2 end return(bin) end binary   start_up = proc () po: stream := stream$primary_output() tests: array[int] := array[int]$[5, 50, 9000]   for test: ...
http://rosettacode.org/wiki/Bitmap/Bresenham%27s_line_algorithm
Bitmap/Bresenham's line algorithm
Task Using the data storage type defined on the Bitmap page for raster graphics images, draw a line given two points with Bresenham's line algorithm.
#RapidQ
RapidQ
SUB draw_line(x1, y1, x2, y2, colour) x_dist = abs(x2-x1) y_dist = abs(y2-y1) IF y2-y1 < -x_dist OR x2-x1 <= -y_dist THEN SWAP x1, x2 ' Swap start and end points SWAP y1, y2 END IF IF x1 < x2 THEN x_step = 1 ELSE x_step = -1 IF y1 < y2 THEN y_step = 1 ELSE y_step = -1   IF y_...
http://rosettacode.org/wiki/Box_the_compass
Box the compass
There be many a land lubber that knows naught of the pirate ways and gives direction by degree! They know not how to box the compass! Task description Create a function that takes a heading in degrees and returns the correct 32-point compass heading. Use the function to print and display a table of Index, Compass...
#Ring
Ring
  # Project : Box the compass   names = ["North", "North by east", "North-northeast", "Northeast by north", "Northeast", "Northeast by east", "East-northeast", "East by north", "East", "East by south", "East-southeast", "Southeast by east", "Southeast", "Southeast by sout...
http://rosettacode.org/wiki/Bitwise_operations
Bitwise operations
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 |...
#Logo
Logo
to bitwise :a :b (print [a and b:] BitAnd :a :b) (print [a or b:] BitOr :a :b) (print [a xor b:] BitXor :a :b) (print [not a:] BitNot :a)  ; shifts are to the left if positive, to the right if negative (print [a lshift b:] LShift :a :b) (print [a lshift -b:] LShift :a minus :b) (print [-a ashift -b:] ASh...
http://rosettacode.org/wiki/Bitmap
Bitmap
Show a basic storage type to handle a simple RGB raster graphics image, and some primitive associated functions. If possible provide a function to allocate an uninitialised image, given its width and height, and provide 3 additional functions:   one to fill an image with a plain RGB color,   one to set a given pixe...
#PureBasic
PureBasic
w=800 : h=600 CreateImage(1,w,h) ;1 is internal id of image StartDrawing(ImageOutput(1)) ; fill with color red Box(0,0,w,h,$ff) ; or using another (but slower) way in green FillArea(0,0,-1,$ff00) ; a green Dot Plot(10,10,$ff0000) ; check if we set it right (should be 255) Debug Blue(Point(10,10))  
http://rosettacode.org/wiki/Benford%27s_law
Benford's law
This page uses content from Wikipedia. The original article was at Benford's_law. 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) Benford's law, also called the first-digit law, refers to the freque...
#PureBasic
PureBasic
#MAX_N=1000 NewMap d1.i() Dim fi.s(#MAX_N) fi(0)="0" : fi(1)="1" Declare.s Sigma(sx.s,sy.s)   For I=2 To #MAX_N fi(I)=Sigma(fi(I-2),fi(I-1)) Next   For I=1 To #MAX_N d1(Left(fi(I),1))+1 Next   Procedure.s Sigma(sx.s, sy.s) Define i.i, v1.i, v2.i, r.i Define s.s, sa.s sy=ReverseString(sy) : s=ReverseString(s...
http://rosettacode.org/wiki/Bernoulli_numbers
Bernoulli numbers
Bernoulli numbers are used in some series expansions of several functions   (trigonometric, hyperbolic, gamma, etc.),   and are extremely important in number theory and analysis. Note that there are two definitions of Bernoulli numbers;   this task will be using the modern usage   (as per   The National Institute of S...
#PL.2FI
PL/I
Bern: procedure options (main); /* 4 July 2014 */ declare i fixed binary; declare B complex fixed (31);   Bernoulli: procedure (n) returns (complex fixed (31)); declare n fixed binary; declare anum(0:n) fixed (31), aden(0:n) fixed (31); declare (j, m) fixed; declare F fixed (31);   do m = 0 to...
http://rosettacode.org/wiki/Binary_search
Binary search
A binary search divides a range of values into halves, and continues to narrow down the field of search until the unknown value is found. It is the classic example of a "divide and conquer" algorithm. As an analogy, consider the children's game "guess a number." The scorer has a secret number, and will only tell the p...
#Erlang
Erlang
%% Task: Binary Search algorithm %% Author: Abhay Jain   -module(searching_algorithm). -export([start/0]).   start() -> List = [1,2,3], binary_search(List, 5, 1, length(List)).     binary_search(List, Value, Low, High) -> if Low > High -> io:format("Number ~p not found~n", [Value]), not_foun...
http://rosettacode.org/wiki/Best_shuffle
Best shuffle
Task Shuffle the characters of a string in such a way that as many of the character values are in a different position as possible. A shuffle that produces a randomized result among the best choices is to be preferred. A deterministic approach that produces the same sequence every time is acceptable as an alternative...
#Prolog
Prolog
:- dynamic score/2.   best_shuffle :- maplist(best_shuffle, ["abracadabra", "eesaw", "elk", "grrrrrr", "up", "a"]).   best_shuffle(Str) :- retractall(score(_,_)), length(Str, Len), assert(score(Str, Len)), calcule_min(Str, Len, Min), repeat, shuffle(Str, Shuffled), maplist(comp, Str, Shuffled, ...
http://rosettacode.org/wiki/Binary_strings
Binary strings
Many languages have powerful and useful (binary safe) string manipulation functions, while others don't, making it harder for these languages to accomplish some tasks. This task is about creating functions to handle binary strings (strings made of arbitrary bytes, i.e. byte strings according to Wikipedia) for those la...
#Wren
Wren
// create string var s = "abc"   // destroy string (not really see notes above) s = null   // (re)assignment s = "def"   // comparison (only == && != supported directly) var b = (s == "abc") // false   // cloning/copying var t = s   // check if empty s = "" b = (s != "") // false b = s.isEmpty // true   // append a ...
http://rosettacode.org/wiki/Binary_digits
Binary digits
Task Create and display the sequence of binary digits for a given   non-negative integer. The decimal value   5   should produce an output of   101 The decimal value   50   should produce an output of   110010 The decimal value   9000   should produce an output of   10001100101000 ...
#COBOL
COBOL
IDENTIFICATION DIVISION. PROGRAM-ID. SAMPLE.   DATA DIVISION. WORKING-STORAGE SECTION.   01 binary_number pic X(21). 01 str pic X(21). 01 binary_digit pic X. 01 digit pic 9. 01 n pic 9(7). 01 nstr ...
http://rosettacode.org/wiki/Bitmap/Bresenham%27s_line_algorithm
Bitmap/Bresenham's line algorithm
Task Using the data storage type defined on the Bitmap page for raster graphics images, draw a line given two points with Bresenham's line algorithm.
#REXX
REXX
/*REXX program plots/draws line segments using the Bresenham's line (2D) algorithm. */ parse arg data /*obtain optional arguments from the CL*/ if data='' then data= "(1,8) (8,16) (16,8) (8,1) (1,8)" /* ◄──── a rhombus.*/ data= translate(data, , '()[]{}/,:;') ...
http://rosettacode.org/wiki/Box_the_compass
Box the compass
There be many a land lubber that knows naught of the pirate ways and gives direction by degree! They know not how to box the compass! Task description Create a function that takes a heading in degrees and returns the correct 32-point compass heading. Use the function to print and display a table of Index, Compass...
#Ruby
Ruby
Headings = %w(north east south west north).each_cons(2).flat_map do |a, b| [a, "#{a} by #{b}", "#{a}-#{a}#{b}", "#{a}#{b} by #{a}", "#{a}#{b}", "#{a}#{b} by #{b}", "#{b}-#{a}#{b}", "#{b} by #{a}"] end Headings.prepend nil   def heading(degrees) i = degrees.quo(360).*(32).round.%(32).+(1) [i, Headin...
http://rosettacode.org/wiki/Bitwise_operations
Bitwise operations
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 |...
#LSE64
LSE64
over : 2 pick 2dup : over over   bitwise : \ " A=" ,t over ,h sp " B=" ,t dup ,h nl \ " A and B=" ,t 2dup & ,h nl \ " A or B=" ,t 2dup | ,h nl \ " A xor B=" ,t over ^ ,h nl \ " not A=" ,t ~ ,h nl   \ a \ 7 bitwise # hex literals
http://rosettacode.org/wiki/Bitmap
Bitmap
Show a basic storage type to handle a simple RGB raster graphics image, and some primitive associated functions. If possible provide a function to allocate an uninitialised image, given its width and height, and provide 3 additional functions:   one to fill an image with a plain RGB color,   one to set a given pixe...
#Python
Python
# See the class definitions and constructors with, e.g. getClass("pixmapIndexed", package=pixmap) pixmapIndexed   # Image with all one colour plot(p1 <- pixmapIndexed(matrix(0, nrow=3, ncol=4), col="red"))   # Image with one pixel specified cols <- rep("blue", 12); cols[7] <- "red" plot(p2 <- pixmapIndexed(matrix(1:1...
http://rosettacode.org/wiki/Bitmap
Bitmap
Show a basic storage type to handle a simple RGB raster graphics image, and some primitive associated functions. If possible provide a function to allocate an uninitialised image, given its width and height, and provide 3 additional functions:   one to fill an image with a plain RGB color,   one to set a given pixe...
#R
R
# See the class definitions and constructors with, e.g. getClass("pixmapIndexed", package=pixmap) pixmapIndexed   # Image with all one colour plot(p1 <- pixmapIndexed(matrix(0, nrow=3, ncol=4), col="red"))   # Image with one pixel specified cols <- rep("blue", 12); cols[7] <- "red" plot(p2 <- pixmapIndexed(matrix(1:1...
http://rosettacode.org/wiki/Benford%27s_law
Benford's law
This page uses content from Wikipedia. The original article was at Benford's_law. 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) Benford's law, also called the first-digit law, refers to the freque...
#Python
Python
from __future__ import division from itertools import islice, count from collections import Counter from math import log10 from random import randint   expected = [log10(1+1/d) for d in range(1,10)]   def fib(): a,b = 1,1 while True: yield a a,b = b,a+b   # powers of 3 as a test sequence def pow...
http://rosettacode.org/wiki/Bernoulli_numbers
Bernoulli numbers
Bernoulli numbers are used in some series expansions of several functions   (trigonometric, hyperbolic, gamma, etc.),   and are extremely important in number theory and analysis. Note that there are two definitions of Bernoulli numbers;   this task will be using the modern usage   (as per   The National Institute of S...
#Python
Python
from fractions import Fraction as Fr   def bernoulli(n): A = [0] * (n+1) for m in range(n+1): A[m] = Fr(1, m+1) for j in range(m, 0, -1): A[j-1] = j*(A[j-1] - A[j]) return A[0] # (which is Bn)   bn = [(i, bernoulli(i)) for i in range(61)] bn = [(i, b) for i,b in bn if b] width = ma...
http://rosettacode.org/wiki/Binary_search
Binary search
A binary search divides a range of values into halves, and continues to narrow down the field of search until the unknown value is found. It is the classic example of a "divide and conquer" algorithm. As an analogy, consider the children's game "guess a number." The scorer has a secret number, and will only tell the p...
#Euphoria
Euphoria
function binary_search(sequence s, object val, integer low, integer high) integer mid, cmp if high < low then return 0 -- not found else mid = floor( (low + high) / 2 ) cmp = compare(s[mid], val) if cmp > 0 then return binary_search(s, val, low, mid-1) el...
http://rosettacode.org/wiki/Best_shuffle
Best shuffle
Task Shuffle the characters of a string in such a way that as many of the character values are in a different position as possible. A shuffle that produces a randomized result among the best choices is to be preferred. A deterministic approach that produces the same sequence every time is acceptable as an alternative...
#PureBasic
PureBasic
Structure charInfo Char.s List Position.i() count.i ;number of occurrences of Char EndStructure   Structure cycleInfo Char.s Position.i EndStructure   Structure cycle List cycle.cycleInfo() EndStructure   Procedure.s shuffleWordLetters(word.s) Protected i Dim originalLetters.s(len(word) - 1) ...
http://rosettacode.org/wiki/Binary_strings
Binary strings
Many languages have powerful and useful (binary safe) string manipulation functions, while others don't, making it harder for these languages to accomplish some tasks. This task is about creating functions to handle binary strings (strings made of arbitrary bytes, i.e. byte strings according to Wikipedia) for those la...
#zkl
zkl
Data(0,.Int,1,2,3) // bytes Data(0,String,1,2,3) // same Data(0,Int,"foo","bar") //-->foobar\0 d:=Data(0,String,"foo","bar") //-->foo\0bar\0\0 d==d // -->True: byte by byte comparison d.copy() //-->clone d.len() //-->8, 0 if empty   d.append("1").len(); //-->10 // or d+"1" Data(0,Int,"foo","bar").len() //-->6 Data(0...
http://rosettacode.org/wiki/Binary_digits
Binary digits
Task Create and display the sequence of binary digits for a given   non-negative integer. The decimal value   5   should produce an output of   101 The decimal value   50   should produce an output of   110010 The decimal value   9000   should produce an output of   10001100101000 ...
#CoffeeScript
CoffeeScript
binary = (n) -> new Number(n).toString(2)   console.log binary n for n in [5, 50, 9000]
http://rosettacode.org/wiki/Bitmap/Bresenham%27s_line_algorithm
Bitmap/Bresenham's line algorithm
Task Using the data storage type defined on the Bitmap page for raster graphics images, draw a line given two points with Bresenham's line algorithm.
#Ring
Ring
  load "guilib.ring" load "stdlib.ring"   new qapp { win1 = new qwidget() { setwindowtitle("drawing using qpainter") setwinicon(self,"c:\ring\bin\image\browser.png") setgeometry(100,100,500,600) label1 = new qlabel(win1) { set...
http://rosettacode.org/wiki/Box_the_compass
Box the compass
There be many a land lubber that knows naught of the pirate ways and gives direction by degree! They know not how to box the compass! Task description Create a function that takes a heading in degrees and returns the correct 32-point compass heading. Use the function to print and display a table of Index, Compass...
#Run_BASIC
Run BASIC
global direct$ dim direct$(22) direct$(1) = "y" 'by direct$(4) = "ast" 'East direct$(13) = "orth" 'North direct$(18) = "outh" 'Soutn direct$(22) = "est" 'West   dim point$(32) for i =1 to 32: read point$(i) :next i   html "<table border=1>" for i = 0 to 32 hdng = i * 11.25 if (i mod 3) = 1 the...
http://rosettacode.org/wiki/Bitwise_operations
Bitwise operations
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 |...
#Lua
Lua
local bit = require"bit"   local vb = { 0, 1, -1, 2, -2, 0x12345678, 0x87654321, 0x33333333, 0x77777777, 0x55aa55aa, 0xaa55aa55, 0x7fffffff, 0x80000000, 0xffffffff }   local function cksum(name, s, r) local z = 0 for i=1,#s do z = (z + string.byte(s, i)*i) % 2147483629 end if z ~= r then error("bit."..n...
http://rosettacode.org/wiki/Bitmap
Bitmap
Show a basic storage type to handle a simple RGB raster graphics image, and some primitive associated functions. If possible provide a function to allocate an uninitialised image, given its width and height, and provide 3 additional functions:   one to fill an image with a plain RGB color,   one to set a given pixe...
#Racket
Racket
  #lang racket   ;; The racket/draw libraries provide imperative drawing functions. ;; http://docs.racket-lang.org/draw/index.html (require racket/draw)   ;; To create an image with width and height, use the make-bitmap ;; function.   ;; For example, let's make a small image here: (define bm (make-bitmap 640 480))   ;;...
http://rosettacode.org/wiki/Bitmap
Bitmap
Show a basic storage type to handle a simple RGB raster graphics image, and some primitive associated functions. If possible provide a function to allocate an uninitialised image, given its width and height, and provide 3 additional functions:   one to fill an image with a plain RGB color,   one to set a given pixe...
#Raku
Raku
class Pixel { has UInt ($.R, $.G, $.B) } class Bitmap { has UInt ($.width, $.height); has Pixel @!data;   method fill(Pixel $p) { @!data = $p.clone xx ($!width*$!height) } method pixel( $i where ^$!width, $j where ^$!height --> Pixel ) is rw { @!data[$i + $j * $!width] }   method ...
http://rosettacode.org/wiki/Benford%27s_law
Benford's law
This page uses content from Wikipedia. The original article was at Benford's_law. 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) Benford's law, also called the first-digit law, refers to the freque...
#R
R
  pbenford <- function(d){ return(log10(1+(1/d))) }   get_lead_digit <- function(number){ return(as.numeric(substr(number,1,1))) }   fib_iter <- function(n){ first <- 1 second <- 0 for(i in 1:n){ sum <- first + second first <- second second <- sum } return(sum) }   fib_sequence <- mapply(fib_i...
http://rosettacode.org/wiki/Benford%27s_law
Benford's law
This page uses content from Wikipedia. The original article was at Benford's_law. 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) Benford's law, also called the first-digit law, refers to the freque...
#Racket
Racket
#lang racket   (define (log10 n) (/ (log n) (log 10)))   (define (first-digit n) (quotient n (expt 10 (inexact->exact (floor (log10 n))))))   (define N 10000)   (define fibs (let loop ([n N] [a 0] [b 1]) (if (zero? n) '() (cons b (loop (sub1 n) b (+ a b))))))   (define v (make-vector 10 0)) (for ([n fibs]) (d...
http://rosettacode.org/wiki/Bernoulli_numbers
Bernoulli numbers
Bernoulli numbers are used in some series expansions of several functions   (trigonometric, hyperbolic, gamma, etc.),   and are extremely important in number theory and analysis. Note that there are two definitions of Bernoulli numbers;   this task will be using the modern usage   (as per   The National Institute of S...
#Quackery
Quackery
$ "bigrat.qky" loadfile   [ 1+ ' [ [] ] over of swap times [ i^ 1+ n->v 1/v join swap i^ poke i^ times [ dup i 1+ peek do dip over swap i peek do v- i 1+ n->v v* join swap i poke ] ] 1 split drop do ] is bernoulli ( n --...
http://rosettacode.org/wiki/Bernoulli_numbers
Bernoulli numbers
Bernoulli numbers are used in some series expansions of several functions   (trigonometric, hyperbolic, gamma, etc.),   and are extremely important in number theory and analysis. Note that there are two definitions of Bernoulli numbers;   this task will be using the modern usage   (as per   The National Institute of S...
#R
R
    library(pracma)   for (idx in c(1,2*0:30)) { b <- bernoulli(idx) d <- as.character(denominator(b)) n <- as.character(numerator(b)) cat("B(",idx,") = ",n,"/",d,"\n", sep = "") }  
http://rosettacode.org/wiki/Binary_search
Binary search
A binary search divides a range of values into halves, and continues to narrow down the field of search until the unknown value is found. It is the classic example of a "divide and conquer" algorithm. As an analogy, consider the children's game "guess a number." The scorer has a secret number, and will only tell the p...
#F.23
F#
let rec binarySearch (myArray:array<IComparable>, low:int, high:int, value:IComparable) = if (high < low) then null else let mid = (low + high) / 2   if (myArray.[mid] > value) then binarySearch (myArray, low, mid-1, value) else if (myArray.[mid] < value) then ...
http://rosettacode.org/wiki/Best_shuffle
Best shuffle
Task Shuffle the characters of a string in such a way that as many of the character values are in a different position as possible. A shuffle that produces a randomized result among the best choices is to be preferred. A deterministic approach that produces the same sequence every time is acceptable as an alternative...
#Python
Python
import random   def count(w1,wnew): return sum(c1==c2 for c1,c2 in zip(w1, wnew))   def best_shuffle(w): wnew = list(w) n = len(w) rangelists = (list(range(n)), list(range(n))) for r in rangelists: random.shuffle(r) rangei, rangej = rangelists for i in rangei: for j in rangej...
http://rosettacode.org/wiki/Binary_digits
Binary digits
Task Create and display the sequence of binary digits for a given   non-negative integer. The decimal value   5   should produce an output of   101 The decimal value   50   should produce an output of   110010 The decimal value   9000   should produce an output of   10001100101000 ...
#Common_Lisp
Common Lisp
(format t "~b" 5)   ; or   (write 5 :base 2)
http://rosettacode.org/wiki/Bitmap/Bresenham%27s_line_algorithm
Bitmap/Bresenham's line algorithm
Task Using the data storage type defined on the Bitmap page for raster graphics images, draw a line given two points with Bresenham's line algorithm.
#Ruby
Ruby
Pixel = Struct.new(:x, :y)   class Pixmap   def draw_line(p1, p2, colour) validate_pixel(p1.x, p2.y) validate_pixel(p2.x, p2.y)   x1, y1 = p1.x, p1.y x2, y2 = p2.x, p2.y   steep = (y2 - y1).abs > (x2 - x1).abs   if steep x1, y1 = y1, x1 x2, y2 = y2, x2 end   if x1 > x2 ...
http://rosettacode.org/wiki/Box_the_compass
Box the compass
There be many a land lubber that knows naught of the pirate ways and gives direction by degree! They know not how to box the compass! Task description Create a function that takes a heading in degrees and returns the correct 32-point compass heading. Use the function to print and display a table of Index, Compass...
#Rust
Rust
fn expand(cp: &str) -> String { let mut out = String::new(); for c in cp.chars() { out.push_str(match c { 'N' => "north", 'E' => "east", 'S' => "south", 'W' => "west", 'b' => " by ", _ => "-", }); } out }   fn main()...
http://rosettacode.org/wiki/Bitwise_operations
Bitwise operations
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 |...
#Maple
Maple
  with(Bits): bit:=proc(A,B) local a,b,c,d,e,f,g,h,i,x,bitpow; bitpow := 2^B: a:=And(A,B); b:=Not(A); c:=Or(A,B); d:=Xor(A,B); #Left Shift e:= irem(2*A,bitpow); #Right Shift f := iquo(A,2); #Left Rotate g:= irem(2*A,bitpow,'x')+x; #Rightarithshift i:= iquo(A,2)+bitpow/2*irem(A,bitpow/2); return a,b,c,d,e,f,g,i; end pro...
http://rosettacode.org/wiki/Bitmap
Bitmap
Show a basic storage type to handle a simple RGB raster graphics image, and some primitive associated functions. If possible provide a function to allocate an uninitialised image, given its width and height, and provide 3 additional functions:   one to fill an image with a plain RGB color,   one to set a given pixe...
#RapidQ
RapidQ
DECLARE SUB PaintCanvas   CREATE form AS QForm Width = 640 Height = 480 CREATE canvas AS QCanvas Height = form.ClientHeight Width = form.ClientWidth OnPaint = PaintCanvas END CREATE END CREATE   SUB PaintCanvas ' Fill background canvas.FillRect(0, 0, canvas.Width, canvas.Height, &H...
http://rosettacode.org/wiki/Bitmap
Bitmap
Show a basic storage type to handle a simple RGB raster graphics image, and some primitive associated functions. If possible provide a function to allocate an uninitialised image, given its width and height, and provide 3 additional functions:   one to fill an image with a plain RGB color,   one to set a given pixe...
#REXX
REXX
/*REXX program demonstrates how to process/display a simple RGB raster graphics image.*/ red = 'ff 00 00'x /*a method to define a red value. */ blue = '00 00 ff'x /*" " " " " blue " */ @. = ...
http://rosettacode.org/wiki/Benford%27s_law
Benford's law
This page uses content from Wikipedia. The original article was at Benford's_law. 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) Benford's law, also called the first-digit law, refers to the freque...
#Raku
Raku
sub benford(@a) { bag +« @a».substr(0,1) }   sub show(%distribution) { printf "%9s %9s  %s\n", <Actual Expected Deviation>; for 1 .. 9 -> $digit { my $actual = %distribution{$digit} * 100 / [+] %distribution.values; my $expected = (1 + 1 / $digit).log(10) * 100; printf "%d: %5.2f%% | %5....
http://rosettacode.org/wiki/Bernoulli_numbers
Bernoulli numbers
Bernoulli numbers are used in some series expansions of several functions   (trigonometric, hyperbolic, gamma, etc.),   and are extremely important in number theory and analysis. Note that there are two definitions of Bernoulli numbers;   this task will be using the modern usage   (as per   The National Institute of S...
#Racket
Racket
#lang racket ;; For: http://rosettacode.org/wiki/Bernoulli_numbers   ;; As described in task... (define (bernoulli.1 n) (define A (make-vector (add1 n))) (for ((m (in-range 0 (add1 n)))) (vector-set! A m (/ (add1 m))) (for ((j (in-range m (sub1 1) -1))) (define new-A_j-1 (* j (- (vector-ref A (sub1 j)...
http://rosettacode.org/wiki/Binary_search
Binary search
A binary search divides a range of values into halves, and continues to narrow down the field of search until the unknown value is found. It is the classic example of a "divide and conquer" algorithm. As an analogy, consider the children's game "guess a number." The scorer has a secret number, and will only tell the p...
#Factor
Factor
USING: binary-search kernel math.order ;   : binary-search ( seq elt -- index/f ) [ [ <=> ] curry search ] keep = [ drop f ] unless ;
http://rosettacode.org/wiki/Best_shuffle
Best shuffle
Task Shuffle the characters of a string in such a way that as many of the character values are in a different position as possible. A shuffle that produces a randomized result among the best choices is to be preferred. A deterministic approach that produces the same sequence every time is acceptable as an alternative...
#Racket
Racket
  #lang racket   (define (best-shuffle s) (define len (string-length s)) (define @ string-ref) (define r (list->string (shuffle (string->list s)))) (for* ([i (in-range len)] [j (in-range len)]) (when (not (or (= i j) (eq? (@ s i) (@ r j)) (eq? (@ s j) (@ r i)))) (define t (@ r i)) (string-set! r...
http://rosettacode.org/wiki/Best_shuffle
Best shuffle
Task Shuffle the characters of a string in such a way that as many of the character values are in a different position as possible. A shuffle that produces a randomized result among the best choices is to be preferred. A deterministic approach that produces the same sequence every time is acceptable as an alternative...
#Raku
Raku
sub best-shuffle(Str $orig) {   my @s = $orig.comb; my @t = @s.pick(*);   for ^@s -> $i { for ^@s -> $j { if $i != $j and @t[$i] ne @s[$j] and @t[$j] ne @s[$i] { @t[$i, $j] = @t[$j, $i]; last; } } }   my $count = 0; for @t.k...
http://rosettacode.org/wiki/Binary_digits
Binary digits
Task Create and display the sequence of binary digits for a given   non-negative integer. The decimal value   5   should produce an output of   101 The decimal value   50   should produce an output of   110010 The decimal value   9000   should produce an output of   10001100101000 ...
#Component_Pascal
Component Pascal
  MODULE BinaryDigits; IMPORT StdLog,Strings;   PROCEDURE Do*; VAR str : ARRAY 33 OF CHAR; BEGIN Strings.IntToStringForm(5,2, 1,'0',FALSE,str); StdLog.Int(5);StdLog.String(":> " + str);StdLog.Ln; Strings.IntToStringForm(50,2, 1,'0',FALSE,str); StdLog.Int(50);StdLog.String(":> " + str);StdLog.Ln; Strings.IntToStri...
http://rosettacode.org/wiki/Bitmap/Bresenham%27s_line_algorithm
Bitmap/Bresenham's line algorithm
Task Using the data storage type defined on the Bitmap page for raster graphics images, draw a line given two points with Bresenham's line algorithm.
#Rust
Rust
  struct Point { x: i32, y: i32 }   fn main() { let mut points: Vec<Point> = Vec::new(); points.append(&mut get_coordinates(1, 20, 20, 28)); points.append(&mut get_coordinates(20, 28, 69, 0)); draw_line(points, 70, 30); }   fn get_coordinates(x1: i32, y1: i32, x2: i32, y2: i32) -> Vec<Point> { ...
http://rosettacode.org/wiki/Box_the_compass
Box the compass
There be many a land lubber that knows naught of the pirate ways and gives direction by degree! They know not how to box the compass! Task description Create a function that takes a heading in degrees and returns the correct 32-point compass heading. Use the function to print and display a table of Index, Compass...
#Scala
Scala
object BoxingTheCompass extends App { val cardinal = List("north", "east", "south", "west") val pointDesc = List("1", "1 by 2", "1-C", "C by 1", "C", "C by 2", "2-C", "2 by 1")   val pointDeg: Int => Double = i => { val fswitch: Int => Int = i => i match {case 1 => 1; case 2 => -1; case _ => 0} i*11.25+fswitch(...
http://rosettacode.org/wiki/Bitwise_operations
Bitwise operations
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 |...
#Mathematica.2F_Wolfram_Language
Mathematica/ Wolfram Language
(*and xor and or*) BitAnd[integer1, integer2] BitXor[integer1, integer2] BitOr[integer1, integer2]   (*logical not*) BitNot[integer1]   (*left and right shift*) BitShiftLeft[integer1] BitShiftRight[integer1]   (*rotate digits left and right*) FromDigits[RotateLeft[IntegerDigits[integer1, 2]], 2] FromDigits[RotateRight[...
http://rosettacode.org/wiki/Bitmap
Bitmap
Show a basic storage type to handle a simple RGB raster graphics image, and some primitive associated functions. If possible provide a function to allocate an uninitialised image, given its width and height, and provide 3 additional functions:   one to fill an image with a plain RGB color,   one to set a given pixe...
#Ruby
Ruby
class RGBColour def initialize(red, green, blue) unless red.between?(0,255) and green.between?(0,255) and blue.between?(0,255) raise ArgumentError, "invalid RGB parameters: #{[red, green, blue].inspect}" end @red, @green, @blue = red, green, blue end attr_reader :red, :green, :blue alias_metho...
http://rosettacode.org/wiki/Benford%27s_law
Benford's law
This page uses content from Wikipedia. The original article was at Benford's_law. 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) Benford's law, also called the first-digit law, refers to the freque...
#REXX
REXX
/*REXX pgm demonstrates Benford's law applied to 2 common functions (30 dec. digs used).*/ numeric digits length( e() ) - length(.) /*width of (e) for LN & LOG precision.*/ parse arg N .; if N=='' | N=="," then N= 1000 /*allow sample size to be specified. */ pad= " " ...
http://rosettacode.org/wiki/Bernoulli_numbers
Bernoulli numbers
Bernoulli numbers are used in some series expansions of several functions   (trigonometric, hyperbolic, gamma, etc.),   and are extremely important in number theory and analysis. Note that there are two definitions of Bernoulli numbers;   this task will be using the modern usage   (as per   The National Institute of S...
#Raku
Raku
sub bernoulli($n) { my @a; for 0..$n -> $m { @a[$m] = FatRat.new(1, $m + 1); for reverse 1..$m -> $j { @a[$j - 1] = $j * (@a[$j - 1] - @a[$j]); } } return @a[0]; }   constant @bpairs = grep *.value.so, ($_ => bernoulli($_) for 0..60);   my $width = max @bpairs.map: *.va...
http://rosettacode.org/wiki/Binary_search
Binary search
A binary search divides a range of values into halves, and continues to narrow down the field of search until the unknown value is found. It is the classic example of a "divide and conquer" algorithm. As an analogy, consider the children's game "guess a number." The scorer has a secret number, and will only tell the p...
#FBSL
FBSL
#APPTYPE CONSOLE   DIM va[], sign = {1, -1}, toggle   PRINT "Loading ... "; DIM gtc = GetTickCount() FOR DIM i = 0 TO 1000000 va[] = sign[toggle] * PI * i toggle = NOT toggle ' randomize the array NEXT PRINT "done in ", GetTickCount() - gtc, " milliseconds"   PRINT "Sorting ... "; gtc = GetTickCount() QUICKSORT(va) ...
http://rosettacode.org/wiki/Best_shuffle
Best shuffle
Task Shuffle the characters of a string in such a way that as many of the character values are in a different position as possible. A shuffle that produces a randomized result among the best choices is to be preferred. A deterministic approach that produces the same sequence every time is acceptable as an alternative...
#Rascal
Rascal
import Prelude;   public tuple[str, str, int] bestShuffle(str s){ characters = chars(s);   ranking = {<p, countSame(p, characters)> | p <- permutations(characters)}; best = {<s, stringChars(p), n> | <p, n> <- ranking, n == min(range(ranking))}; return takeOneFrom(best)[0]; }   public int countSame(l...
http://rosettacode.org/wiki/Best_shuffle
Best shuffle
Task Shuffle the characters of a string in such a way that as many of the character values are in a different position as possible. A shuffle that produces a randomized result among the best choices is to be preferred. A deterministic approach that produces the same sequence every time is acceptable as an alternative...
#REXX
REXX
/*REXX program determines and displays the best shuffle for any list of words or tokens.*/ parse arg $ /*get some words from the command line.*/ if $='' then $= 'tree abracadabra seesaw elk grrrrrr up a' /*use the defaults?*/ w=0; #=words($) ...
http://rosettacode.org/wiki/Binary_digits
Binary digits
Task Create and display the sequence of binary digits for a given   non-negative integer. The decimal value   5   should produce an output of   101 The decimal value   50   should produce an output of   110010 The decimal value   9000   should produce an output of   10001100101000 ...
#Cowgol
Cowgol
include "cowgol.coh";   sub print_binary(n: uint32) is var buffer: uint8[33]; var p := &buffer[32]; [p] := 0;   while n != 0 loop p := @prev p; [p] := ((n as uint8) & 1) + '0'; n := n >> 1; end loop;   print(p); print_nl(); end sub;   print_binary(5); print_binary(50)...
http://rosettacode.org/wiki/Bitmap/Bresenham%27s_line_algorithm
Bitmap/Bresenham's line algorithm
Task Using the data storage type defined on the Bitmap page for raster graphics images, draw a line given two points with Bresenham's line algorithm.
#Scala
Scala
object BitmapOps { def bresenham(bm:RgbBitmap, x0:Int, y0:Int, x1:Int, y1:Int, c:Color)={ val dx=math.abs(x1-x0) val sx=if (x0<x1) 1 else -1 val dy=math.abs(y1-y0) val sy=if (y0<y1) 1 else -1   def it=new Iterator[Tuple2[Int,Int]]{ var x=x0; var y=y0 var err=(if (dx>dy...
http://rosettacode.org/wiki/Box_the_compass
Box the compass
There be many a land lubber that knows naught of the pirate ways and gives direction by degree! They know not how to box the compass! Task description Create a function that takes a heading in degrees and returns the correct 32-point compass heading. Use the function to print and display a table of Index, Compass...
#Seed7
Seed7
$ include "seed7_05.s7i"; include "float.s7i";   const array string: names is [] ("North", "North by east", "North-northeast", "Northeast by north", "Northeast", "Northeast by east", "East-northeast", "East by north", "East", "East by south", "East-southeast", "Southeast by east", "Southeast", "Southeast by sou...
http://rosettacode.org/wiki/Bitwise_operations
Bitwise operations
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 |...
#MATLAB_.2F_Octave
MATLAB / Octave
function bitwiseOps(a,b)   disp(sprintf('%d and %d = %d', [a b bitand(a,b)])); disp(sprintf('%d or %d = %d', [a b bitor(a,b)])); disp(sprintf('%d xor %d = %d', [a b bitxor(a,b)])); disp(sprintf('%d << %d = %d', [a b bitshift(a,b)])); disp(sprintf('%d >> %d = %d', [a b bitshift(a,-b)]));   end
http://rosettacode.org/wiki/Bitmap
Bitmap
Show a basic storage type to handle a simple RGB raster graphics image, and some primitive associated functions. If possible provide a function to allocate an uninitialised image, given its width and height, and provide 3 additional functions:   one to fill an image with a plain RGB color,   one to set a given pixe...
#Rust
Rust
#[derive(Copy, Clone, Debug, PartialEq, Eq)] pub struct Rgb { pub r: u8, pub g: u8, pub b: u8, }   impl Rgb { pub fn new(r: u8, g: u8, b: u8) -> Self { Rgb { r, g, b } }   pub const BLACK: Rgb = Rgb { r: 0, g: 0, b: 0 }; pub const RED: Rgb = Rgb { r: 255, g: 0, b: 0 }; pub const ...
http://rosettacode.org/wiki/Bitmap
Bitmap
Show a basic storage type to handle a simple RGB raster graphics image, and some primitive associated functions. If possible provide a function to allocate an uninitialised image, given its width and height, and provide 3 additional functions:   one to fill an image with a plain RGB color,   one to set a given pixe...
#Scala
Scala
import java.awt.image.BufferedImage import java.awt.Color   class RgbBitmap(val width:Int, val height:Int) { val image=new BufferedImage(width, height, BufferedImage.TYPE_3BYTE_BGR)   def fill(c:Color)={ val g=image.getGraphics() g.setColor(c) g.fillRect(0, 0, width, height) }   def setPix...
http://rosettacode.org/wiki/Benford%27s_law
Benford's law
This page uses content from Wikipedia. The original article was at Benford's_law. 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) Benford's law, also called the first-digit law, refers to the freque...
#Ring
Ring
  # Project : Benford's law   decimals(3) n= 1000 actual = list(n) for x = 1 to len(actual) actual[x] = 0 next   for nr = 1 to n n1 = string(fibonacci(nr)) j = number(left(n1,1)) actual[j] = actual[j] + 1 next   see "Digit " + "Actual " + "Expected" + nl for m = 1 to 9 fr = frequency(m)*100...
http://rosettacode.org/wiki/Benford%27s_law
Benford's law
This page uses content from Wikipedia. The original article was at Benford's_law. 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) Benford's law, also called the first-digit law, refers to the freque...
#Ruby
Ruby
EXPECTED = (1..9).map{|d| Math.log10(1+1.0/d)}   def fib(n) a,b = 0,1 n.times.map{ret, a, b = a, b, a+b; ret} end   # powers of 3 as a test sequence def power_of_threes(n) n.times.map{|k| 3**k} end   def heads(s) s.map{|a| a.to_s[0].to_i} end   def show_dist(title, s) s = heads(s) c = Array.new(10, 0) s.e...
http://rosettacode.org/wiki/Bernoulli_numbers
Bernoulli numbers
Bernoulli numbers are used in some series expansions of several functions   (trigonometric, hyperbolic, gamma, etc.),   and are extremely important in number theory and analysis. Note that there are two definitions of Bernoulli numbers;   this task will be using the modern usage   (as per   The National Institute of S...
#REXX
REXX
/*REXX program calculates N number of Bernoulli numbers expressed as vulgar fractions.*/ parse arg N .; if N=='' | N=="," then N= 60 /*Not specified? Then use the default.*/ numeric digits max(9, n*2) /*increase the decimal digits if needed*/ w= max(length(N), 4); Nw= N + w + N % 4...
http://rosettacode.org/wiki/Binary_search
Binary search
A binary search divides a range of values into halves, and continues to narrow down the field of search until the unknown value is found. It is the classic example of a "divide and conquer" algorithm. As an analogy, consider the children's game "guess a number." The scorer has a secret number, and will only tell the p...
#Forth
Forth
defer (compare) ' - is (compare) \ default to numbers   : cstr-compare ( cstr1 cstr2 -- <=> ) \ counted strings swap count rot count compare ;   : mid ( u l -- mid ) tuck - 2/ -cell and + ;   : bsearch ( item upper lower -- where found? ) rot >r begin 2dup > while 2dup mid dup @ r@ (compare) ...
http://rosettacode.org/wiki/Best_shuffle
Best shuffle
Task Shuffle the characters of a string in such a way that as many of the character values are in a different position as possible. A shuffle that produces a randomized result among the best choices is to be preferred. A deterministic approach that produces the same sequence every time is acceptable as an alternative...
#Ring
Ring
  # Project : Best shuffle   test = ["abracadabra", "seesaw", "elk", "grrrrrr", "up", "a"]   for n = 1 to len(test) bs = bestshuffle(test[n]) count = 0 for p = 1 to len(test[n]) if substr(test[n],p,1) = substr(bs,p,1) count = count + 1 ok next see test[n] ...
http://rosettacode.org/wiki/Best_shuffle
Best shuffle
Task Shuffle the characters of a string in such a way that as many of the character values are in a different position as possible. A shuffle that produces a randomized result among the best choices is to be preferred. A deterministic approach that produces the same sequence every time is acceptable as an alternative...
#Ruby
Ruby
def best_shuffle(s) # Fill _pos_ with positions in the order # that we want to fill them. pos = [] # g["a"] = [2, 4] implies that s[2] == s[4] == "a" g = s.length.times.group_by { |i| s[i] }   # k sorts letters from low to high count k = g.sort_by { |k, v| v.length }.map { |k, v| k }   until g.empty? ...
http://rosettacode.org/wiki/Binary_digits
Binary digits
Task Create and display the sequence of binary digits for a given   non-negative integer. The decimal value   5   should produce an output of   101 The decimal value   50   should produce an output of   110010 The decimal value   9000   should produce an output of   10001100101000 ...
#Crystal
Crystal
[5,50,9000].each do |n| puts "%b" % n end
http://rosettacode.org/wiki/Bitmap/Bresenham%27s_line_algorithm
Bitmap/Bresenham's line algorithm
Task Using the data storage type defined on the Bitmap page for raster graphics images, draw a line given two points with Bresenham's line algorithm.
#Sidef
Sidef
func my_draw_line(img, x0, y0, x1, y1) {   var steep = (abs(y1 - y0) > abs(x1 - x0))   if (steep) { (y0, x0) = (x0, y0) (y1, x1) = (x1, y1) } if (x0 > x1) { (x1, x0) = (x0, x1) (y1, y0) = (y0, y1) }   var deltax = (x1 - x0) var deltay = abs(y1 - y0) var er...
http://rosettacode.org/wiki/Box_the_compass
Box the compass
There be many a land lubber that knows naught of the pirate ways and gives direction by degree! They know not how to box the compass! Task description Create a function that takes a heading in degrees and returns the correct 32-point compass heading. Use the function to print and display a table of Index, Compass...
#Sidef
Sidef
func point (index) { var ix = (index % 32); if (ix & 1) { "#{point((ix + 1) & 28)} by #{point(((2 - (ix & 2)) * 4) + ix & 24)}" } elsif (ix & 2) { "#{point((ix + 2) & 24)}-#{point((ix | 4) & 28)}" } elsif (ix & 4) { "#{point((ix + 8) & 16)}#{point((ix | 8) & 24)}" } else { <north east s...
http://rosettacode.org/wiki/Bitwise_operations
Bitwise operations
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 |...
#Maxima
Maxima
load(functs)$   a: 3661$ b: 2541$   logor(a, b); /* 4077 */   logand(a, b); /* 2125 */   logxor(a, b); /* 1952 */   /* NOT(x) is simply -x - 1 -a - 1; /* -3662 */   logor(a, -a - 1); /* -1 */   logand(a, -a - 1); /* 0 */
http://rosettacode.org/wiki/Bitmap
Bitmap
Show a basic storage type to handle a simple RGB raster graphics image, and some primitive associated functions. If possible provide a function to allocate an uninitialised image, given its width and height, and provide 3 additional functions:   one to fill an image with a plain RGB color,   one to set a given pixe...
#Scheme
Scheme
(define (make-list length object) (if (= length 0) (list) (cons object (make-list (- length 1) object))))   (define (list-fill! list object) (if (not (null? list)) (begin (set-car! list object) (list-fill! (cdr list) object))))   (define (list-set! list element object) (if (= element 1) (s...
http://rosettacode.org/wiki/Benford%27s_law
Benford's law
This page uses content from Wikipedia. The original article was at Benford's_law. 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) Benford's law, also called the first-digit law, refers to the freque...
#Run_BASIC
Run BASIC
  N = 1000 for i = 0 to N - 1 n$ = str$(fibonacci(i)) j = val(left$(n$,1)) actual(j) = actual(j) +1 next print html "<table border=1><TR bgcolor=wheat><TD>Digit<td>Actual<td>Expected</td><tr>" for i = 1 to 9 html "<tr align=right><td>";i;"</td><td>";using("##.###",actual(i)/10);"</td><td>";using("##.###"...
http://rosettacode.org/wiki/Benford%27s_law
Benford's law
This page uses content from Wikipedia. The original article was at Benford's_law. 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) Benford's law, also called the first-digit law, refers to the freque...
#Rust
Rust
  extern crate num_traits; extern crate num;   use num::bigint::{BigInt, ToBigInt}; use num_traits::{Zero, One}; use std::collections::HashMap;   // Return a vector of all fibonacci results from fib(1) to fib(n) fn fib(n: usize) -> Vec<BigInt> { let mut result = Vec::with_capacity(n); let mut a = BigInt::zero()...
http://rosettacode.org/wiki/Bernoulli_numbers
Bernoulli numbers
Bernoulli numbers are used in some series expansions of several functions   (trigonometric, hyperbolic, gamma, etc.),   and are extremely important in number theory and analysis. Note that there are two definitions of Bernoulli numbers;   this task will be using the modern usage   (as per   The National Institute of S...
#Ruby
Ruby
bernoulli = Enumerator.new do |y| ar = [] 0.step do |m| ar << Rational(1, m+1) m.downto(1){|j| ar[j-1] = j*(ar[j-1] - ar[j]) } y << ar.first # yield end end   b_nums = bernoulli.take(61) width = b_nums.map{|b| b.numerator.to_s.size}.max b_nums.each_with_index {|b,i| puts "B(%2i) = %*i/%i" % [i, widt...
http://rosettacode.org/wiki/Binary_search
Binary search
A binary search divides a range of values into halves, and continues to narrow down the field of search until the unknown value is found. It is the classic example of a "divide and conquer" algorithm. As an analogy, consider the children's game "guess a number." The scorer has a secret number, and will only tell the p...
#Fortran
Fortran
recursive function binarySearch_R (a, value) result (bsresult) real, intent(in) :: a(:), value integer :: bsresult, mid   mid = size(a)/2 + 1 if (size(a) == 0) then bsresult = 0 ! not found else if (a(mid) > value) then bsresult= binarySearch_R(a(:mid-1), value) e...
http://rosettacode.org/wiki/Best_shuffle
Best shuffle
Task Shuffle the characters of a string in such a way that as many of the character values are in a different position as possible. A shuffle that produces a randomized result among the best choices is to be preferred. A deterministic approach that produces the same sequence every time is acceptable as an alternative...
#Run_BASIC
Run BASIC
list$ = "abracadabra seesaw pop grrrrrr up a"   while word$(list$,ii + 1," ") <> "" ii = ii + 1 w$ = word$(list$,ii," ") bs$ = bestShuffle$(w$) count = 0 for i = 1 to len(w$) if mid$(w$,i,1) = mid$(bs$,i,1) then count = count + 1 next i print w$;" ";bs$;" ";count wend   function bestShuffle$(s1$) ...
http://rosettacode.org/wiki/Best_shuffle
Best shuffle
Task Shuffle the characters of a string in such a way that as many of the character values are in a different position as possible. A shuffle that produces a randomized result among the best choices is to be preferred. A deterministic approach that produces the same sequence every time is acceptable as an alternative...
#Rust
Rust
extern crate permutohedron; extern crate rand;   use std::cmp::{min, Ordering}; use std::env; use rand::{thread_rng, Rng}; use std::str;   const WORDS: &'static [&'static str] = &["abracadabra", "seesaw", "elk", "grrrrrr", "up", "a"];   #[derive(Eq)] struct Solution { original: String, shuffled: String, sco...
http://rosettacode.org/wiki/Binary_digits
Binary digits
Task Create and display the sequence of binary digits for a given   non-negative integer. The decimal value   5   should produce an output of   101 The decimal value   50   should produce an output of   110010 The decimal value   9000   should produce an output of   10001100101000 ...
#D
D
void main() { import std.stdio;   foreach (immutable i; 0 .. 16) writefln("%b", i); }
http://rosettacode.org/wiki/Bitmap/Bresenham%27s_line_algorithm
Bitmap/Bresenham's line algorithm
Task Using the data storage type defined on the Bitmap page for raster graphics images, draw a line given two points with Bresenham's line algorithm.
#Tcl
Tcl
package require Tcl 8.5 package require Tk   proc drawLine {image colour point0 point1} { lassign $point0 x0 y0 lassign $point1 x1 y1   set steep [expr {abs($y1 - $y0) > abs($x1 - $x0)}] if {$steep} { lassign [list $x0 $y0] y0 x0 lassign [list $x1 $y1] y1 x1 } if {$x0 > $x1} { ...
http://rosettacode.org/wiki/Box_the_compass
Box the compass
There be many a land lubber that knows naught of the pirate ways and gives direction by degree! They know not how to box the compass! Task description Create a function that takes a heading in degrees and returns the correct 32-point compass heading. Use the function to print and display a table of Index, Compass...
#smart_BASIC
smart BASIC
/*Boxing The Compass by rbytes December 2017*/ GET SCREEN SIZE sw,sh OPTION BASE 1 DIM point$(32,5) FOR i=1 TO 32 FOR j=1 TO 5 READ point$(i,j) NEXT j NEXT i html$= "<table border=1>" html$&= "<TR><TD align=right></td><td>Boxing The Compass</td><td>Abbr</td><td>Min</td><td>Med</td><td>Max</td></tr>" FOR i =1 TO 32 h...
http://rosettacode.org/wiki/Bitwise_operations
Bitwise operations
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 |...
#MAXScript
MAXScript
fn bitwise a b = ( format "a and b: %\n" (bit.and a b) format "a or b: %\n" (bit.or a b) format "a xor b: %\n" (bit.xor a b) format "not a: %\n" (bit.not a) format "Left shift a: %\n" (bit.shift a b) format "Right shift a: %\n" (bit.shift a -b) )   bitwise 255 170
http://rosettacode.org/wiki/Bitmap
Bitmap
Show a basic storage type to handle a simple RGB raster graphics image, and some primitive associated functions. If possible provide a function to allocate an uninitialised image, given its width and height, and provide 3 additional functions:   one to fill an image with a plain RGB color,   one to set a given pixe...
#Seed7
Seed7
$ include "seed7_05.s7i"; include "draw.s7i";   const proc: main is func local var PRIMITIVE_WINDOW: myPixmap is PRIMITIVE_WINDOW.value; var color: myColor is black; begin myPixmap := newPixmap(300, 200); clear(myPixmap, light_green); point(myPixmap, 20, 30, color(256, 512, 768)); myColor ...
http://rosettacode.org/wiki/Bitmap
Bitmap
Show a basic storage type to handle a simple RGB raster graphics image, and some primitive associated functions. If possible provide a function to allocate an uninitialised image, given its width and height, and provide 3 additional functions:   one to fill an image with a plain RGB color,   one to set a given pixe...
#SequenceL
SequenceL
RGB ::= (R: int(0), G: int(0), B: int(0));   newBitmap: int * int -> RGB(2); newBitmap(width, height)[y, x] := (R: 0, G: 0, B: 0) foreach y within 1 ... height, x within 1 ... width;   fill: RGB(2) * RGB -> RGB(2); fill(bitmap(2), color)[y, x] := color foreach y within 1 ... size(bitmap), x within 1 ... ...
http://rosettacode.org/wiki/Benford%27s_law
Benford's law
This page uses content from Wikipedia. The original article was at Benford's_law. 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) Benford's law, also called the first-digit law, refers to the freque...
#Scala
Scala
// Fibonacci Sequence (begining with 1,1): 1 1 2 3 5 8 13 21 34 55 ... val fibs : Stream[BigInt] = { def series(i:BigInt,j:BigInt):Stream[BigInt] = i #:: series(j, i+j); series(1,0).tail.tail }     /** * Given a numeric sequence, return the distribution of the most-signicant-digit * as expected by Benford's Law and ...
http://rosettacode.org/wiki/Bernoulli_numbers
Bernoulli numbers
Bernoulli numbers are used in some series expansions of several functions   (trigonometric, hyperbolic, gamma, etc.),   and are extremely important in number theory and analysis. Note that there are two definitions of Bernoulli numbers;   this task will be using the modern usage   (as per   The National Institute of S...
#Rust
Rust
// 2.5 implementations presented here: naive, optimized, and an iterator using // the optimized function. The speeds vary significantly: relative // speeds of optimized:iterator:naive implementations is 625:25:1.   #![feature(test)]   extern crate num; extern crate test;   use num::bigint::{BigInt, ToBigInt}; use num:...
http://rosettacode.org/wiki/Binary_search
Binary search
A binary search divides a range of values into halves, and continues to narrow down the field of search until the unknown value is found. It is the classic example of a "divide and conquer" algorithm. As an analogy, consider the children's game "guess a number." The scorer has a secret number, and will only tell the p...
#Futhark
Futhark
  fun main(as: [n]int, value: int): int = let low = 0 let high = n-1 loop ((low,high)) = while low <= high do -- invariants: value > as[i] for all i < low -- value < as[i] for all i > high let mid = (low+high) / 2 in if as[mid] > value then (low, mid - 1) else if as[mid] ...
http://rosettacode.org/wiki/Best_shuffle
Best shuffle
Task Shuffle the characters of a string in such a way that as many of the character values are in a different position as possible. A shuffle that produces a randomized result among the best choices is to be preferred. A deterministic approach that produces the same sequence every time is acceptable as an alternative...
#Scala
Scala
  def coincidients(s1: Seq[Char], s2: Seq[Char]): Int = (s1, s2).zipped.count(p => (p._1 == p._2)) def freqMap(s1: List[Char]) = s1.groupBy(_.toChar).mapValues(_.size) def estimate(s1: List[Char]): Int = if (s1 == Nil) 0 else List(0, freqMap(s1).maxBy(_._2)._2 - (s1.size / 2)).max   def bestShuffle(s: String): ...
http://rosettacode.org/wiki/Binary_digits
Binary digits
Task Create and display the sequence of binary digits for a given   non-negative integer. The decimal value   5   should produce an output of   101 The decimal value   50   should produce an output of   110010 The decimal value   9000   should produce an output of   10001100101000 ...
#Dart
Dart
String binary(int n) { if(n<0) throw new IllegalArgumentException("negative numbers require 2s complement"); if(n==0) return "0"; String res=""; while(n>0) { res=(n%2).toString()+res; n=(n/2).toInt(); } return res; }   main() { print(binary(0)); print(binary(1)); print(binary(5)); print(...
http://rosettacode.org/wiki/Bitmap/Bresenham%27s_line_algorithm
Bitmap/Bresenham's line algorithm
Task Using the data storage type defined on the Bitmap page for raster graphics images, draw a line given two points with Bresenham's line algorithm.
#TI-89_BASIC
TI-89 BASIC
(lx0, ly0, lx1, ly1) Prgm Local steep, x, y, dx, dy, ystep, error, tmp abs(ly1 - ly0) > abs(lx1 - lx0) → steep If steep Then lx0 → tmp ly0 → lx0 tmp → ly0 lx1 → tmp ly1 → lx1 tmp → ly1 EndIf If lx0 > lx1 Then lx0 → tmp lx1 → lx0 tmp → lx1 ly0 → tmp ly1 → ly0 tmp...
http://rosettacode.org/wiki/Box_the_compass
Box the compass
There be many a land lubber that knows naught of the pirate ways and gives direction by degree! They know not how to box the compass! Task description Create a function that takes a heading in degrees and returns the correct 32-point compass heading. Use the function to print and display a table of Index, Compass...
#Tcl
Tcl
proc angle2compass {angle} { set dirs { N NbE N-NE NEbN NE NEbE E-NE EbN E EbS E-SE SEbE SE SEbS S-SE SbE S SbW S-SW SWbS SW SWbW W-SW WbS W WbN W-NW NWbW NW NWbN N-NW NbW } set unpack {N "north" E "east" W "west" S "south" b " by "}   # Compute the width of each compass segment set sep [expr {360...
http://rosettacode.org/wiki/Bitwise_operations
Bitwise operations
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 |...
#ML.2FI
ML/I
MCSKIP "WITH" NL "" Bitwise operations "" assumes macros on input stream 1, terminal on stream 2 MCSKIP MT,<> MCINS %. MCDEF SL SPACES NL AS <MCSET T1=%A1. MCSET T2=%A2. a and b = %%T1.&%T2.. a or b = %%T1.|%T2.. The other operators are not supported. MCSET S10=0 > MCSKIP SL WITH * MCSET S1=1 *MCSET S10=2  
http://rosettacode.org/wiki/Bitmap
Bitmap
Show a basic storage type to handle a simple RGB raster graphics image, and some primitive associated functions. If possible provide a function to allocate an uninitialised image, given its width and height, and provide 3 additional functions:   one to fill an image with a plain RGB color,   one to set a given pixe...
#Smalltalk
Smalltalk
|img1 img2| "a depth24 RGB image" img1 := Image width:100 height:200 depth:24. img1 fillRectangle:(0@0 corner:100@100) with:Color red. img1 fillRectangle:(0@100 corner:100@100) with:(Color rgbValue: 16rFF00FF). img1 colorAt:(10 @ 10) put:(Color green). img1 saveOn:'sampleFile.png'.   img1 displayOn:Transcript window gr...
http://rosettacode.org/wiki/Benford%27s_law
Benford's law
This page uses content from Wikipedia. The original article was at Benford's_law. 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) Benford's law, also called the first-digit law, refers to the freque...
#Scheme
Scheme
; Compute the probability of leading digit d (an integer [1,9]) according to Benford's law.   (define benford-probability (lambda (d) (- (log (1+ d) 10) (log d 10))))   ; Determine the distribution of the leading digit of the sequence provided by the given ; generator. Return as a vector of 10 elements -- the 0t...
http://rosettacode.org/wiki/Bernoulli_numbers
Bernoulli numbers
Bernoulli numbers are used in some series expansions of several functions   (trigonometric, hyperbolic, gamma, etc.),   and are extremely important in number theory and analysis. Note that there are two definitions of Bernoulli numbers;   this task will be using the modern usage   (as per   The National Institute of S...
#Scala
Scala
/** Roll our own pared-down BigFraction class just for these Bernoulli Numbers */ case class BFraction( numerator:BigInt, denominator:BigInt ) { require( denominator != BigInt(0), "Denominator cannot be zero" )   val gcd = numerator.gcd(denominator)   val num = numerator / gcd val den = denominator / gcd   de...
http://rosettacode.org/wiki/Binary_search
Binary search
A binary search divides a range of values into halves, and continues to narrow down the field of search until the unknown value is found. It is the classic example of a "divide and conquer" algorithm. As an analogy, consider the children's game "guess a number." The scorer has a secret number, and will only tell the p...
#GAP
GAP
Find := function(v, x) local low, high, mid; low := 1; high := Length(v); while low <= high do mid := QuoInt(low + high, 2); if v[mid] > x then high := mid - 1; elif v[mid] < x then low := mid + 1; else return mid; fi; od; return fail; end;   u := [1..10]*7; # [ 7, 14, ...
http://rosettacode.org/wiki/Best_shuffle
Best shuffle
Task Shuffle the characters of a string in such a way that as many of the character values are in a different position as possible. A shuffle that produces a randomized result among the best choices is to be preferred. A deterministic approach that produces the same sequence every time is acceptable as an alternative...
#Scheme
Scheme
  (define count (lambda (str1 str2) (let ((len (string-length str1))) (let loop ((index 0) (result 0)) (if (= index len) result (loop (+ index 1) (if (eq? (string-ref str1 index) (string-ref str2 index)) ...
http://rosettacode.org/wiki/Binary_digits
Binary digits
Task Create and display the sequence of binary digits for a given   non-negative integer. The decimal value   5   should produce an output of   101 The decimal value   50   should produce an output of   110010 The decimal value   9000   should produce an output of   10001100101000 ...
#dc
dc
2o 5p 50p 9000p
http://rosettacode.org/wiki/Bitmap/Bresenham%27s_line_algorithm
Bitmap/Bresenham's line algorithm
Task Using the data storage type defined on the Bitmap page for raster graphics images, draw a line given two points with Bresenham's line algorithm.
#VBScript
VBScript
'Bitmap/Bresenham's line algorithm - VBScript - 13/05/2019 Dim map(48,40), list(10), ox, oy data=Array(1,8, 8,16, 16,8, 8,1, 1,8) For i=0 To UBound(map,1): For j=0 To UBound(map,2) map(i,j)="." Next: Next 'j, i points=(UBound(data)+1)/2 For p=1 To points x=data((p-1)*2) y=data((p-1)*2+1) list(p)=Array(x,...
http://rosettacode.org/wiki/Box_the_compass
Box the compass
There be many a land lubber that knows naught of the pirate ways and gives direction by degree! They know not how to box the compass! Task description Create a function that takes a heading in degrees and returns the correct 32-point compass heading. Use the function to print and display a table of Index, Compass...
#True_BASIC
True BASIC
DIM POINT$(32)   FUNCTION compasspoint$ (h) LET x = h / 11.25 + 1.5 IF (x >= 33) THEN LET x = x - 32 LET compasspoint$ = POINT$(INT(x)) END FUNCTION   RESTORE DATA "North ", "North by east ", "North-northeast ", "Northeast by north" DATA "Northeast ", "Northeast by east ", "East-...