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http://rosettacode.org/wiki/Square-free_integers
Square-free integers
Task Write a function to test if a number is   square-free. A   square-free   is an integer which is divisible by no perfect square other than   1   (unity). For this task, only positive square-free numbers will be used. Show here (on this page) all square-free integers (in a horizontal format) that are between:   1   ───►   145     (inclusive)   1 trillion   ───►   1 trillion + 145     (inclusive) (One trillion = 1,000,000,000,000) Show here (on this page) the count of square-free integers from:   1   ───►   one hundred     (inclusive)   1   ───►   one thousand     (inclusive)   1   ───►   ten thousand     (inclusive)   1   ───►   one hundred thousand     (inclusive)   1   ───►   one million     (inclusive) See also   the Wikipedia entry:   square-free integer
#Perl
Perl
use ntheory qw/is_square_free moebius/;   sub square_free_count { my ($n) = @_; my $count = 0; foreach my $k (1 .. sqrt($n)) { $count += moebius($k) * int($n / $k**2); } return $count; }   print "Square─free numbers between 1 and 145:\n"; print join(' ', grep { is_square_free($_) } 1 .. 145), "\n";   print "\nSquare-free numbers between 10^12 and 10^12 + 145:\n"; print join(' ', grep { is_square_free($_) } 1e12 .. 1e12 + 145), "\n";   print "\n"; foreach my $n (2 .. 6) { my $c = square_free_count(10**$n); print "The number of square-free numbers between 1 and 10^$n (inclusive) is: $c\n"; }
http://rosettacode.org/wiki/Stem-and-leaf_plot
Stem-and-leaf plot
Create a well-formatted stem-and-leaf plot from the following data set, where the leaves are the last digits: 12 127 28 42 39 113 42 18 44 118 44 37 113 124 37 48 127 36 29 31 125 139 131 115 105 132 104 123 35 113 122 42 117 119 58 109 23 105 63 27 44 105 99 41 128 121 116 125 32 61 37 127 29 113 121 58 114 126 53 114 96 25 109 7 31 141 46 13 27 43 117 116 27 7 68 40 31 115 124 42 128 52 71 118 117 38 27 106 33 117 116 111 40 119 47 105 57 122 109 124 115 43 120 43 27 27 18 28 48 125 107 114 34 133 45 120 30 127 31 116 146 The primary intent of this task is the presentation of information. It is acceptable to hardcode the data set or characteristics of it (such as what the stems are) in the example, insofar as it is impractical to make the example generic to any data set. For example, in a computation-less language like HTML the data set may be entirely prearranged within the example; the interesting characteristics are how the proper visual formatting is arranged. If possible, the output should not be a bitmap image. Monospaced plain text is acceptable, but do better if you can. It may be a window, i.e. not a file. Note: If you wish to try multiple data sets, you might try this generator.
#PicoLisp
PicoLisp
(de *Data 12 127 28 42 39 113 42 18 44 118 44 37 113 124 37 48 127 36 29 31 125 139 131 115 105 132 104 123 35 113 122 42 117 119 58 109 23 105 63 27 44 105 99 41 128 121 116 125 32 61 37 127 29 113 121 58 114 126 53 114 96 25 109 7 31 141 46 13 27 43 117 116 27 7 68 40 31 115 124 42 128 52 71 118 117 38 27 106 33 117 116 111 40 119 47 105 57 122 109 124 115 43 120 43 27 27 18 28 48 125 107 114 34 133 45 120 30 127 31 116 146 )   (let L (group (mapcar '((N) (cons (or (format (head -1 (setq N (chop N)))) 0) (last N) ) ) (sort *Data) ) ) (for I (range (caar L) (car (last L))) (prinl (align 3 I) " | " (glue " " (cdr (assoc I L)))) ) )
http://rosettacode.org/wiki/Split_a_character_string_based_on_change_of_character
Split a character string based on change of character
Task Split a (character) string into comma (plus a blank) delimited strings based on a change of character   (left to right). Show the output here   (use the 1st example below). Blanks should be treated as any other character   (except they are problematic to display clearly).   The same applies to commas. For instance, the string: gHHH5YY++///\ should be split and show: g, HHH, 5, YY, ++, ///, \ Other tasks related to string operations: Metrics Array length String length Copy a string Empty string  (assignment) Counting Word frequency Letter frequency Jewels and stones I before E except after C Bioinformatics/base count Count occurrences of a substring Count how many vowels and consonants occur in a string Remove/replace XXXX redacted Conjugate a Latin verb Remove vowels from a string String interpolation (included) Strip block comments Strip comments from a string Strip a set of characters from a string Strip whitespace from a string -- top and tail Strip control codes and extended characters from a string Anagrams/Derangements/shuffling Word wheel ABC problem Sattolo cycle Knuth shuffle Ordered words Superpermutation minimisation Textonyms (using a phone text pad) Anagrams Anagrams/Deranged anagrams Permutations/Derangements Find/Search/Determine ABC words Odd words Word ladder Semordnilap Word search Wordiff  (game) String matching Tea cup rim text Alternade words Changeable words State name puzzle String comparison Unique characters Unique characters in each string Extract file extension Levenshtein distance Palindrome detection Common list elements Longest common suffix Longest common prefix Compare a list of strings Longest common substring Find common directory path Words from neighbour ones Change e letters to i in words Non-continuous subsequences Longest common subsequence Longest palindromic substrings Longest increasing subsequence Words containing "the" substring Sum of the digits of n is substring of n Determine if a string is numeric Determine if a string is collapsible Determine if a string is squeezable Determine if a string has all unique characters Determine if a string has all the same characters Longest substrings without repeating characters Find words which contains all the vowels Find words which contains most consonants Find words which contains more than 3 vowels Find words which first and last three letters are equals Find words which odd letters are consonants and even letters are vowels or vice_versa Formatting Substring Rep-string Word wrap String case Align columns Literals/String Repeat a string Brace expansion Brace expansion using ranges Reverse a string Phrase reversals Comma quibbling Special characters String concatenation Substring/Top and tail Commatizing numbers Reverse words in a string Suffixation of decimal numbers Long literals, with continuations Numerical and alphabetical suffixes Abbreviations, easy Abbreviations, simple Abbreviations, automatic Song lyrics/poems/Mad Libs/phrases Mad Libs Magic 8-ball 99 Bottles of Beer The Name Game (a song) The Old lady swallowed a fly The Twelve Days of Christmas Tokenize Text between Tokenize a string Word break problem Tokenize a string with escaping Split a character string based on change of character Sequences Show ASCII table De Bruijn sequences Self-referential sequences Generate lower case ASCII alphabet
#AppleScript
AppleScript
intercalate(", ", ¬ map(curry(intercalate)'s |λ|(""), ¬ group("gHHH5YY++///\\")))   --> "g, HHH, 5, YY, ++, ///, \\"     -- GENERIC FUNCTIONS ---------------------------------------------------------- -- curry :: (Script|Handler) -> Script on curry(f) script on |λ|(a) script on |λ|(b) |λ|(a, b) of mReturn(f) end |λ| end script end |λ| end script end curry   -- foldl :: (a -> b -> a) -> a -> [b] -> a on foldl(f, startValue, xs) tell mReturn(f) set v to startValue set lng to length of xs repeat with i from 1 to lng set v to |λ|(v, item i of xs, i, xs) end repeat return v end tell end foldl   -- group :: Eq a => [a] -> [[a]] on group(xs) script eq on |λ|(a, b) a = b end |λ| end script   groupBy(eq, xs) end group   -- groupBy :: (a -> a -> Bool) -> [a] -> [[a]] on groupBy(f, xs) set mf to mReturn(f)   script enGroup on |λ|(a, x) if length of (active of a) > 0 then set h to item 1 of active of a else set h to missing value end if   if h is not missing value and mf's |λ|(h, x) then {active:(active of a) & x, sofar:sofar of a} else {active:{x}, sofar:(sofar of a) & {active of a}} end if end |λ| end script   if length of xs > 0 then tell foldl(enGroup, {active:{item 1 of xs}, sofar:{}}, tail(xs)) if length of (its active) > 0 then its sofar & its active else {} end if end tell else {} end if end groupBy   -- intercalate :: Text -> [Text] -> Text on intercalate(strText, lstText) set {dlm, my text item delimiters} to {my text item delimiters, strText} set strJoined to lstText as text set my text item delimiters to dlm return strJoined end intercalate   -- map :: (a -> b) -> [a] -> [b] on map(f, xs) tell mReturn(f) set lng to length of xs set lst to {} repeat with i from 1 to lng set end of lst to |λ|(item i of xs, i, xs) end repeat return lst end tell end map   -- Lift 2nd class handler function into 1st class script wrapper -- mReturn :: Handler -> Script on mReturn(f) if class of f is script then f else script property |λ| : f end script end if end mReturn   -- tail :: [a] -> [a] on tail(xs) if length of xs > 1 then items 2 thru -1 of xs else {} end if end tail
http://rosettacode.org/wiki/Stern-Brocot_sequence
Stern-Brocot sequence
For this task, the Stern-Brocot sequence is to be generated by an algorithm similar to that employed in generating the Fibonacci sequence. The first and second members of the sequence are both 1:     1, 1 Start by considering the second member of the sequence Sum the considered member of the sequence and its precedent, (1 + 1) = 2, and append it to the end of the sequence:     1, 1, 2 Append the considered member of the sequence to the end of the sequence:     1, 1, 2, 1 Consider the next member of the series, (the third member i.e. 2) GOTO 3         ─── Expanding another loop we get: ─── Sum the considered member of the sequence and its precedent, (2 + 1) = 3, and append it to the end of the sequence:     1, 1, 2, 1, 3 Append the considered member of the sequence to the end of the sequence:     1, 1, 2, 1, 3, 2 Consider the next member of the series, (the fourth member i.e. 1) The task is to Create a function/method/subroutine/procedure/... to generate the Stern-Brocot sequence of integers using the method outlined above. Show the first fifteen members of the sequence. (This should be: 1, 1, 2, 1, 3, 2, 3, 1, 4, 3, 5, 2, 5, 3, 4) Show the (1-based) index of where the numbers 1-to-10 first appears in the sequence. Show the (1-based) index of where the number 100 first appears in the sequence. Check that the greatest common divisor of all the two consecutive members of the series up to the 1000th member, is always one. Show your output on this page. Related tasks   Fusc sequence.   Continued fraction/Arithmetic Ref Infinite Fractions - Numberphile (Video). Trees, Teeth, and Time: The mathematics of clock making. A002487 The On-Line Encyclopedia of Integer Sequences.
#Nim
Nim
import math, strformat, strutils   iterator sternBrocot(): (int, int) = ## Yield index and value of the terms of the sequence. var sequence: seq[int] sequence.add 1 sequence.add 1 var index = 1 yield (1, 1) yield (2, 1) while true: sequence.add sequence[index] + sequence[index - 1] yield (sequence.len, sequence[^1]) sequence.add sequence[index] yield (sequence.len, sequence[^1]) inc index   # Fiind first 15 terms. var res: seq[int] for i, n in sternBrocot(): res.add n if i == 15: break echo "First 15 terms: ", res.join(" ") echo()   # Find indexes for 1..10. var indexes: array[1..10, int] var toFind = 10 for i, n in sternBrocot(): if n in 1..10 and indexes[n] == 0: indexes[n] = i dec toFind if toFind == 0: break for n in 1..10: echo &"Index of first occurrence of number {n:3}: {indexes[n]:4}"   # Find index for 100. var index: int for i, n in sternBrocot(): if n == 100: index = i break echo &"Index of first occurrence of number 100: {index:4}" echo()   # Check GCD. var prev = 1 index = 1 for i, n in sternBrocot(): if gcd(prev, n) != 1: break prev = n inc index if index > 1000: break if index <= 1000: echo "Found two successive terms at index: ", index else: echo "All consecutive terms up to the 1000th member have a GCD equal to one."
http://rosettacode.org/wiki/Stair-climbing_puzzle
Stair-climbing puzzle
From Chung-Chieh Shan (LtU): Your stair-climbing robot has a very simple low-level API: the "step" function takes no argument and attempts to climb one step as a side effect. Unfortunately, sometimes the attempt fails and the robot clumsily falls one step instead. The "step" function detects what happens and returns a boolean flag: true on success, false on failure. Write a function "step_up" that climbs one step up [from the initial position] (by repeating "step" attempts if necessary). Assume that the robot is not already at the top of the stairs, and neither does it ever reach the bottom of the stairs. How small can you make "step_up"? Can you avoid using variables (even immutable ones) and numbers? Here's a pseudo-code of a simple recursive solution without using variables: func step_up() { if not step() { step_up(); step_up(); } } Inductive proof that step_up() steps up one step, if it terminates: Base case (if the step() call returns true): it stepped up one step. QED Inductive case (if the step() call returns false): Assume that recursive calls to step_up() step up one step. It stepped down one step (because step() returned false), but now we step up two steps using two step_up() calls. QED The second (tail) recursion above can be turned into an iteration, as follows: func step_up() { while not step() { step_up(); } }
#Tcl
Tcl
set level 41 set prob 0.5001 proc step {} { global level prob steps incr steps if {rand() < $prob} { incr level 1 return 1 } else { incr level -1 return 0 } }
http://rosettacode.org/wiki/Stair-climbing_puzzle
Stair-climbing puzzle
From Chung-Chieh Shan (LtU): Your stair-climbing robot has a very simple low-level API: the "step" function takes no argument and attempts to climb one step as a side effect. Unfortunately, sometimes the attempt fails and the robot clumsily falls one step instead. The "step" function detects what happens and returns a boolean flag: true on success, false on failure. Write a function "step_up" that climbs one step up [from the initial position] (by repeating "step" attempts if necessary). Assume that the robot is not already at the top of the stairs, and neither does it ever reach the bottom of the stairs. How small can you make "step_up"? Can you avoid using variables (even immutable ones) and numbers? Here's a pseudo-code of a simple recursive solution without using variables: func step_up() { if not step() { step_up(); step_up(); } } Inductive proof that step_up() steps up one step, if it terminates: Base case (if the step() call returns true): it stepped up one step. QED Inductive case (if the step() call returns false): Assume that recursive calls to step_up() step up one step. It stepped down one step (because step() returned false), but now we step up two steps using two step_up() calls. QED The second (tail) recursion above can be turned into an iteration, as follows: func step_up() { while not step() { step_up(); } }
#TI-83_BASIC
TI-83 BASIC
If rand>.5:Then 0→C Disp "FALL" If A=1:Then D-1→D Disp D End Else 1→C Disp "CLIMB" If A=1:Then D+1→D Disp D End End If B=1 Pause
http://rosettacode.org/wiki/Stair-climbing_puzzle
Stair-climbing puzzle
From Chung-Chieh Shan (LtU): Your stair-climbing robot has a very simple low-level API: the "step" function takes no argument and attempts to climb one step as a side effect. Unfortunately, sometimes the attempt fails and the robot clumsily falls one step instead. The "step" function detects what happens and returns a boolean flag: true on success, false on failure. Write a function "step_up" that climbs one step up [from the initial position] (by repeating "step" attempts if necessary). Assume that the robot is not already at the top of the stairs, and neither does it ever reach the bottom of the stairs. How small can you make "step_up"? Can you avoid using variables (even immutable ones) and numbers? Here's a pseudo-code of a simple recursive solution without using variables: func step_up() { if not step() { step_up(); step_up(); } } Inductive proof that step_up() steps up one step, if it terminates: Base case (if the step() call returns true): it stepped up one step. QED Inductive case (if the step() call returns false): Assume that recursive calls to step_up() step up one step. It stepped down one step (because step() returned false), but now we step up two steps using two step_up() calls. QED The second (tail) recursion above can be turned into an iteration, as follows: func step_up() { while not step() { step_up(); } }
#Wren
Wren
import "random" for Random import "/fmt" for Conv   var rand = Random.new(1268) // generates short repeatable sequence var position = 0   var step = Fn.new { var r = Conv.itob(rand.int(2)) if (r) { position = position + 1 System.print("Climbed up to %(position)") } else { position = position - 1 System.print("Fell down to %(position)") } return r }   var stepUp // recursive stepUp = Fn.new { while (!step.call()) stepUp.call() }   stepUp.call()
http://rosettacode.org/wiki/Stack
Stack
Data Structure This illustrates a data structure, a means of storing data within a program. You may see other such structures in the Data Structures category. A stack is a container of elements with   last in, first out   access policy.   Sometimes it also called LIFO. The stack is accessed through its top. The basic stack operations are:   push   stores a new element onto the stack top;   pop   returns the last pushed stack element, while removing it from the stack;   empty   tests if the stack contains no elements. Sometimes the last pushed stack element is made accessible for immutable access (for read) or mutable access (for write):   top   (sometimes called peek to keep with the p theme) returns the topmost element without modifying the stack. Stacks allow a very simple hardware implementation. They are common in almost all processors. In programming, stacks are also very popular for their way (LIFO) of resource management, usually memory. Nested scopes of language objects are naturally implemented by a stack (sometimes by multiple stacks). This is a classical way to implement local variables of a re-entrant or recursive subprogram. Stacks are also used to describe a formal computational framework. See stack machine. Many algorithms in pattern matching, compiler construction (e.g. recursive descent parsers), and machine learning (e.g. based on tree traversal) have a natural representation in terms of stacks. Task Create a stack supporting the basic operations: push, pop, empty. See also Array Associative array: Creation, Iteration Collections Compound data type Doubly-linked list: Definition, Element definition, Element insertion, List Traversal, Element Removal Linked list Queue: Definition, Usage Set Singly-linked list: Element definition, Element insertion, List Traversal, Element Removal Stack
#Arturo
Arturo
Stack: $[]-> []   pushTo: function [st val]-> 'st ++ val popStack: function [st] [ result: last st remove 'st .index (size st)-1 return result ] emptyStack: function [st]-> empty 'st printStack: function [st]-> print st   st: new Stack   pushTo st "one" pushTo st "two" pushTo st "three" printStack st   print popStack st printStack st   emptyStack st print ["finally:" st]
http://rosettacode.org/wiki/SQL-based_authentication
SQL-based authentication
This task has three parts: Connect to a MySQL database (connect_db) Create user/password records in the following table (create_user) Authenticate login requests against the table (authenticate_user) This is the table definition: CREATE TABLE users ( userid INT PRIMARY KEY AUTO_INCREMENT, username VARCHAR(32) UNIQUE KEY NOT NULL, pass_salt tinyblob NOT NULL, -- a string of 16 random bytes pass_md5 tinyblob NOT NULL -- binary MD5 hash of pass_salt concatenated with the password ); (pass_salt and pass_md5 would be binary(16) values, but MySQL versions before 5.0.15 strip trailing spaces when selecting them.)
#Racket
Racket
#lang racket (require db file/md5) (define-logger authentication) (current-logger authentication-logger)   (define DB-HOST "localhost") (define DB-USER "devel") (define DB-PASS "devel") (define DB-NAME "test")   (define (connect-db) (mysql-connect #:user DB-USER #:database DB-NAME #:password DB-PASS))   (define (salt+password->hash salt password #:hex-encode? (hex-encode? #f)) (md5 (bytes-append salt password) hex-encode?))   (define (report-sql-error e) (log-authentication-error "Failed to create user:~s" (exn-message e)) #f)   (define (create-user db username passwd)  ; if user was successfully created, returns its ID else #f (define salt (list->bytes (for/list ((i (in-range 16))) (random 256)))) (define hash (salt+password->hash salt passwd)) (with-handlers ((exn:fail:sql? report-sql-error)) (query db "INSERT INTO users (username, pass_salt, pass_md5) VALUES (?, ?, ?)" username salt hash)))   (define (authenticate-user db username password) (or (match (query-maybe-row db "SELECT pass_salt, pass_md5 FROM users WHERE username = ?" username) [#f #f] [(vector salt hash) (bytes=? hash (salt+password->hash salt password))])  ; don't let the deviants know whether it's the username or password that's dodgy (error "the username, password combination does not exist in system")))   (module+ test (require rackunit) (define test-DB (connect-db))  ; typically, you only do this the once (or risk upsetting your users bigtime!)  ; call this just the once! (define (create-users-table db) (query-exec db "DROP TABLE IF EXISTS users") (query-exec db #<<EOS CREATE TABLE users ( userid INT PRIMARY KEY AUTO_INCREMENT, username VARCHAR(32) UNIQUE KEY NOT NULL, pass_salt tinyblob NOT NULL, -- a string of 16 random bytes pass_md5 tinyblob NOT NULL -- binary MD5 hash of pass_salt concatenated with the password ); EOS )) (create-users-table test-DB) (create-user test-DB #"tim" #"shh! it's a secret!")  ; ensure the user exists (for testing purposes) (check-match (query-list test-DB "SELECT userid FROM users WHERE username = 'tim'") (list _))  ; (ah... but tim exists!!!) (check-false (create-user test-DB #"tim" #"tim's password")) (check-exn exn:fail? (λ () (authenticate-user test-DB #"tim" #"password"))) (check-true (authenticate-user test-DB #"tim" #"shh! it's a secret!")))
http://rosettacode.org/wiki/SQL-based_authentication
SQL-based authentication
This task has three parts: Connect to a MySQL database (connect_db) Create user/password records in the following table (create_user) Authenticate login requests against the table (authenticate_user) This is the table definition: CREATE TABLE users ( userid INT PRIMARY KEY AUTO_INCREMENT, username VARCHAR(32) UNIQUE KEY NOT NULL, pass_salt tinyblob NOT NULL, -- a string of 16 random bytes pass_md5 tinyblob NOT NULL -- binary MD5 hash of pass_salt concatenated with the password ); (pass_salt and pass_md5 would be binary(16) values, but MySQL versions before 5.0.15 strip trailing spaces when selecting them.)
#Raku
Raku
  use v6; use DBIish;   multi connect_db(:$dbname, :$host, :$user, :$pass) { my $db = DBIish.connect("mysql",host => $host, database =>$dbname, user =>$user, password =>$pass, :RaiseError) or die "ERROR: {DBIish.errstr}."; $db; }   multi create_user(:$db, :$user, :$pass) { #https://stackoverflow.com/questions/53365101/converting-pack-to-perl6 my $salt = Buf.new((^256).roll(16)); my $sth = $db.prepare(q:to/STATEMENT/); INSERT IGNORE INTO users (username, pass_salt, pass_md5) VALUES (?, ?, unhex(md5(concat(pass_salt, ?)))) STATEMENT $sth.execute($user,$salt,$pass); $sth.insert-id or Any; }   multi authenticate_user (:$db, :$user, :$pass) { my $sth = $db.prepare(q:to/STATEMENT/); SELECT userid FROM users WHERE username=? AND pass_md5=unhex(md5(concat(pass_salt, ?))) STATEMENT $sth.execute($user,$pass); my $userid = $sth.fetch; $userid[0] or Any; }
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#BASIC256
BASIC256
say "Goodbye, World for the " + 123456 + "th time." say "This is an example of speech synthesis."
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#Batch_File
Batch File
@set @dummy=0 /* ::Batch File section @echo off cscript //e:jscript //nologo "%~f0" "%~1" exit /b ::*/ //The JScript section var objVoice = new ActiveXObject("SAPI.SpVoice"); objVoice.speak(WScript.Arguments(0));
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#BBC_BASIC
BBC BASIC
SPF_ASYNC = 1 ON ERROR SYS `CoUninitialize` : PRINT 'REPORT$ : END ON CLOSE SYS `CoUninitialize` : QUIT   SYS "LoadLibrary","OLE32.DLL" TO O% SYS "GetProcAddress",O%,"CoInitialize" TO `CoInitialize` SYS "GetProcAddress",O%,"CoUninitialize" TO `CoUninitialize` SYS "GetProcAddress",O%,"CoCreateInstance" TO `CoCreateInstance`   SYS `CoInitialize`,0 voice% = FN_voice_create PROC_voice_speak(voice%, "This is an example of speech synthesis") PROC_voice_wait(voice%) PROC_voice_free(voice%) SYS `CoUninitialize` END   DEF FN_voice_create LOCAL C%, D%, F%, I%, M%, P%, V% DIM C% LOCAL 15, I% LOCAL 15 C%!0 = &96749377 : C%!4 = &11D23391 : C%!8 = &C000E39E : C%!12 = &9673794F I%!0 = &6C44DF74 : I%!4 = &499272B9 : I%!8 = &99EFECA1 : I%!12 = &D422046E SYS `CoCreateInstance`, C%, 0, 5, I%, ^V% IF V%=0 ERROR 100, "SAPI5 not available" = V%   DEF PROC_voice_speak(V%, M$) DIM M% LOCAL 2*LENM$+1 SYS "MultiByteToWideChar", 0, 0, M$, -1, M%, LENM$+1 SYS !(!V%+80), V%, M%, SPF_ASYNC, 0 ENDPROC   DEF PROC_voice_wait(V%) SYS !(!V%+128), V% ENDPROC   DEF PROC_voice_free(V%) SYS !(!V%+8), V% ENDPROC
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#C
C
#include <sys/wait.h> #include <stdio.h> #include <stdlib.h> #include <unistd.h>   void talk(const char *s) { pid_t pid; int status;   pid = fork(); if (pid < 0) { perror("fork"); exit(1); }   if (pid == 0) { execlp("espeak", "espeak", s, (void*)0); perror("espeak"); _exit(1); }   waitpid(pid, &status, 0); if (!WIFEXITED(status) || WEXITSTATUS(status) != 0) exit(1); }   int main() { talk("This is an example of speech synthesis."); return 0; }
http://rosettacode.org/wiki/Square_but_not_cube
Square but not cube
Task Show the first   30   positive integers which are squares but not cubes of such integers. Optionally, show also the first   3   positive integers which are both squares and cubes,   and mark them as such.
#COBOL
COBOL
IDENTIFICATION DIVISION. PROGRAM-ID. SQUARE-NOT-CUBE.   DATA DIVISION. WORKING-STORAGE SECTION. 01 COMPUTATION. 02 SQ-ROOT PIC 9999 COMP VALUE 1. 02 CUBE-ROOT PIC 9999 COMP VALUE 1. 02 SQUARE PIC 9999 COMP VALUE 1. 02 CUBE PIC 9999 COMP VALUE 1. 02 SEEN PIC 99 COMP VALUE 0. 01 OUTPUT-FORMAT. 02 OUT-NUM PIC ZZZ9.   PROCEDURE DIVISION. SQUARE-STEP. COMPUTE SQUARE = SQ-ROOT ** 2. CUBE-STEP. IF SQUARE IS GREATER THAN CUBE ADD 1 TO CUBE-ROOT COMPUTE CUBE = CUBE-ROOT ** 3 GO TO CUBE-STEP. IF SQUARE IS NOT EQUAL TO CUBE ADD 1 TO SEEN MOVE SQUARE TO OUT-NUM DISPLAY OUT-NUM. ADD 1 TO SQ-ROOT. IF SEEN IS LESS THAN 30 GO TO SQUARE-STEP. STOP RUN.
http://rosettacode.org/wiki/Statistics/Basic
Statistics/Basic
Statistics is all about large groups of numbers. When talking about a set of sampled data, most frequently used is their mean value and standard deviation (stddev). If you have set of data x i {\displaystyle x_{i}} where i = 1 , 2 , … , n {\displaystyle i=1,2,\ldots ,n\,\!} , the mean is x ¯ ≡ 1 n ∑ i x i {\displaystyle {\bar {x}}\equiv {1 \over n}\sum _{i}x_{i}} , while the stddev is σ ≡ 1 n ∑ i ( x i − x ¯ ) 2 {\displaystyle \sigma \equiv {\sqrt {{1 \over n}\sum _{i}\left(x_{i}-{\bar {x}}\right)^{2}}}} . When examining a large quantity of data, one often uses a histogram, which shows the counts of data samples falling into a prechosen set of intervals (or bins). When plotted, often as bar graphs, it visually indicates how often each data value occurs. Task Using your language's random number routine, generate real numbers in the range of [0, 1]. It doesn't matter if you chose to use open or closed range. Create 100 of such numbers (i.e. sample size 100) and calculate their mean and stddev. Do so for sample size of 1,000 and 10,000, maybe even higher if you feel like. Show a histogram of any of these sets. Do you notice some patterns about the standard deviation? Extra Sometimes so much data need to be processed that it's impossible to keep all of them at once. Can you calculate the mean, stddev and histogram of a trillion numbers? (You don't really need to do a trillion numbers, just show how it can be done.) Hint For a finite population with equal probabilities at all points, one can derive: ( x − x ¯ ) 2 ¯ = x 2 ¯ − x ¯ 2 {\displaystyle {\overline {(x-{\overline {x}})^{2}}}={\overline {x^{2}}}-{\overline {x}}^{2}} Or, more verbosely: 1 N ∑ i = 1 N ( x i − x ¯ ) 2 = 1 N ( ∑ i = 1 N x i 2 ) − x ¯ 2 . {\displaystyle {\frac {1}{N}}\sum _{i=1}^{N}(x_{i}-{\overline {x}})^{2}={\frac {1}{N}}\left(\sum _{i=1}^{N}x_{i}^{2}\right)-{\overline {x}}^{2}.} See also Statistics/Normal distribution Tasks for calculating statistical measures in one go moving (sliding window) moving (cumulative) Mean Arithmetic Statistics/Basic Averages/Arithmetic mean Averages/Pythagorean means Averages/Simple moving average Geometric Averages/Pythagorean means Harmonic Averages/Pythagorean means Quadratic Averages/Root mean square Circular Averages/Mean angle Averages/Mean time of day Median Averages/Median Mode Averages/Mode Standard deviation Statistics/Basic Cumulative standard deviation
#Julia
Julia
using Printf   function hist(numbers) maxwidth = 50 h = fill(0, 10) for n in numbers h[ceil(Int, 10n)] += 1 end mx = maximum(h) for (n, i) in enumerate(h) @printf("%3.1f: %s\n", n / 10, "+" ^ floor(Int, i / mx * maxwidth)) end end   for i in 1:6 n = rand(10 ^ i) println("\n##\n## $(10 ^ i) numbers") @printf("μ: %8.6f; σ: %8.6f\n", mean(n), std(n)) hist(n) end
http://rosettacode.org/wiki/Statistics/Basic
Statistics/Basic
Statistics is all about large groups of numbers. When talking about a set of sampled data, most frequently used is their mean value and standard deviation (stddev). If you have set of data x i {\displaystyle x_{i}} where i = 1 , 2 , … , n {\displaystyle i=1,2,\ldots ,n\,\!} , the mean is x ¯ ≡ 1 n ∑ i x i {\displaystyle {\bar {x}}\equiv {1 \over n}\sum _{i}x_{i}} , while the stddev is σ ≡ 1 n ∑ i ( x i − x ¯ ) 2 {\displaystyle \sigma \equiv {\sqrt {{1 \over n}\sum _{i}\left(x_{i}-{\bar {x}}\right)^{2}}}} . When examining a large quantity of data, one often uses a histogram, which shows the counts of data samples falling into a prechosen set of intervals (or bins). When plotted, often as bar graphs, it visually indicates how often each data value occurs. Task Using your language's random number routine, generate real numbers in the range of [0, 1]. It doesn't matter if you chose to use open or closed range. Create 100 of such numbers (i.e. sample size 100) and calculate their mean and stddev. Do so for sample size of 1,000 and 10,000, maybe even higher if you feel like. Show a histogram of any of these sets. Do you notice some patterns about the standard deviation? Extra Sometimes so much data need to be processed that it's impossible to keep all of them at once. Can you calculate the mean, stddev and histogram of a trillion numbers? (You don't really need to do a trillion numbers, just show how it can be done.) Hint For a finite population with equal probabilities at all points, one can derive: ( x − x ¯ ) 2 ¯ = x 2 ¯ − x ¯ 2 {\displaystyle {\overline {(x-{\overline {x}})^{2}}}={\overline {x^{2}}}-{\overline {x}}^{2}} Or, more verbosely: 1 N ∑ i = 1 N ( x i − x ¯ ) 2 = 1 N ( ∑ i = 1 N x i 2 ) − x ¯ 2 . {\displaystyle {\frac {1}{N}}\sum _{i=1}^{N}(x_{i}-{\overline {x}})^{2}={\frac {1}{N}}\left(\sum _{i=1}^{N}x_{i}^{2}\right)-{\overline {x}}^{2}.} See also Statistics/Normal distribution Tasks for calculating statistical measures in one go moving (sliding window) moving (cumulative) Mean Arithmetic Statistics/Basic Averages/Arithmetic mean Averages/Pythagorean means Averages/Simple moving average Geometric Averages/Pythagorean means Harmonic Averages/Pythagorean means Quadratic Averages/Root mean square Circular Averages/Mean angle Averages/Mean time of day Median Averages/Median Mode Averages/Mode Standard deviation Statistics/Basic Cumulative standard deviation
#Klong
Klong
  .l("nstat.kg") bar::{x{x;.d("*")}:*0;.p("")} hist10::{[s];#'=s@<s::_x*10} plot::{[s];.p("");.p("n = ",$x); (!10){.d(x%10);.d(" ");bar(y)}'_(100%x)*(hist10(s::{x;.rn()}'!x)); .p("mean = ",$mu(s));.p("sd = ",$sd(s))} plot(100) plot(1000) plot(10000)  
http://rosettacode.org/wiki/Square-free_integers
Square-free integers
Task Write a function to test if a number is   square-free. A   square-free   is an integer which is divisible by no perfect square other than   1   (unity). For this task, only positive square-free numbers will be used. Show here (on this page) all square-free integers (in a horizontal format) that are between:   1   ───►   145     (inclusive)   1 trillion   ───►   1 trillion + 145     (inclusive) (One trillion = 1,000,000,000,000) Show here (on this page) the count of square-free integers from:   1   ───►   one hundred     (inclusive)   1   ───►   one thousand     (inclusive)   1   ───►   ten thousand     (inclusive)   1   ───►   one hundred thousand     (inclusive)   1   ───►   one million     (inclusive) See also   the Wikipedia entry:   square-free integer
#Phix
Phix
with javascript_semantics function square_frees(atom start, finish) sequence res = {} integer maxprime = get_maxprime(finish) while start<=finish do if square_free(start,maxprime) then res &= start end if start += 1 end while return res end function procedure show_range(atom start, finish, integer jb, string fmt) sequence res = square_frees(start, finish) printf(1,"There are %d square-free integers from %,d to %,d:\n%s\n", {length(res),start,finish,join_by(res,1,jb,"","\n",fmt)}) end procedure show_range(1,145,20,"%4d") show_range(1e12,1e12+145,5,"%14d") printf(1,"\nNumber of square-free integers:\n"); for i=2 to 6 do integer lim = power(10,i), len = length(square_frees(1,lim)) printf(1," from %,d to %,d = %,d\n", {1,lim,len}) end for
http://rosettacode.org/wiki/Stem-and-leaf_plot
Stem-and-leaf plot
Create a well-formatted stem-and-leaf plot from the following data set, where the leaves are the last digits: 12 127 28 42 39 113 42 18 44 118 44 37 113 124 37 48 127 36 29 31 125 139 131 115 105 132 104 123 35 113 122 42 117 119 58 109 23 105 63 27 44 105 99 41 128 121 116 125 32 61 37 127 29 113 121 58 114 126 53 114 96 25 109 7 31 141 46 13 27 43 117 116 27 7 68 40 31 115 124 42 128 52 71 118 117 38 27 106 33 117 116 111 40 119 47 105 57 122 109 124 115 43 120 43 27 27 18 28 48 125 107 114 34 133 45 120 30 127 31 116 146 The primary intent of this task is the presentation of information. It is acceptable to hardcode the data set or characteristics of it (such as what the stems are) in the example, insofar as it is impractical to make the example generic to any data set. For example, in a computation-less language like HTML the data set may be entirely prearranged within the example; the interesting characteristics are how the proper visual formatting is arranged. If possible, the output should not be a bitmap image. Monospaced plain text is acceptable, but do better if you can. It may be a window, i.e. not a file. Note: If you wish to try multiple data sets, you might try this generator.
#PowerShell
PowerShell
  $Set = -split '12 127 28 42 39 113 42 18 44 118 44 37 113 124 37 48 127 36 29 31 125 139 131 115 105 132 104 123 35 113 122 42 117 119 58 109 23 105 63 27 44 105 99 41 128 121 116 125 32 61 37 127 29 113 121 58 114 126 53 114 96 25 109 7 31 141 46 13 27 43 117 116 27 7 68 40 31 115 124 42 128 52 71 118 117 38 27 106 33 117 116 111 40 119 47 105 57 122 109 124 115 43 120 43 27 27 18 28 48 125 107 114 34 133 45 120 30 127 31 116 146'   $Data = $Set | Select @{ Label = 'Stem'; Expression = { [string][int]$_.Substring( 0, $_.Length - 1 ) } }, @{ Label = 'Leaf'; Expression = { [string]$_[-1] } }   $StemStats = $Data | Measure-Object -Property Stem -Minimum -Maximum   ForEach ( $Stem in $StemStats.Minimum..$StemStats.Maximum ) { @( $Stem.ToString().PadLeft( 2, " " ), '|' ) + ( ( $Data | Where Stem -eq $Stem ).Leaf | Sort ) -join " " }  
http://rosettacode.org/wiki/Split_a_character_string_based_on_change_of_character
Split a character string based on change of character
Task Split a (character) string into comma (plus a blank) delimited strings based on a change of character   (left to right). Show the output here   (use the 1st example below). Blanks should be treated as any other character   (except they are problematic to display clearly).   The same applies to commas. For instance, the string: gHHH5YY++///\ should be split and show: g, HHH, 5, YY, ++, ///, \ Other tasks related to string operations: Metrics Array length String length Copy a string Empty string  (assignment) Counting Word frequency Letter frequency Jewels and stones I before E except after C Bioinformatics/base count Count occurrences of a substring Count how many vowels and consonants occur in a string Remove/replace XXXX redacted Conjugate a Latin verb Remove vowels from a string String interpolation (included) Strip block comments Strip comments from a string Strip a set of characters from a string Strip whitespace from a string -- top and tail Strip control codes and extended characters from a string Anagrams/Derangements/shuffling Word wheel ABC problem Sattolo cycle Knuth shuffle Ordered words Superpermutation minimisation Textonyms (using a phone text pad) Anagrams Anagrams/Deranged anagrams Permutations/Derangements Find/Search/Determine ABC words Odd words Word ladder Semordnilap Word search Wordiff  (game) String matching Tea cup rim text Alternade words Changeable words State name puzzle String comparison Unique characters Unique characters in each string Extract file extension Levenshtein distance Palindrome detection Common list elements Longest common suffix Longest common prefix Compare a list of strings Longest common substring Find common directory path Words from neighbour ones Change e letters to i in words Non-continuous subsequences Longest common subsequence Longest palindromic substrings Longest increasing subsequence Words containing "the" substring Sum of the digits of n is substring of n Determine if a string is numeric Determine if a string is collapsible Determine if a string is squeezable Determine if a string has all unique characters Determine if a string has all the same characters Longest substrings without repeating characters Find words which contains all the vowels Find words which contains most consonants Find words which contains more than 3 vowels Find words which first and last three letters are equals Find words which odd letters are consonants and even letters are vowels or vice_versa Formatting Substring Rep-string Word wrap String case Align columns Literals/String Repeat a string Brace expansion Brace expansion using ranges Reverse a string Phrase reversals Comma quibbling Special characters String concatenation Substring/Top and tail Commatizing numbers Reverse words in a string Suffixation of decimal numbers Long literals, with continuations Numerical and alphabetical suffixes Abbreviations, easy Abbreviations, simple Abbreviations, automatic Song lyrics/poems/Mad Libs/phrases Mad Libs Magic 8-ball 99 Bottles of Beer The Name Game (a song) The Old lady swallowed a fly The Twelve Days of Christmas Tokenize Text between Tokenize a string Word break problem Tokenize a string with escaping Split a character string based on change of character Sequences Show ASCII table De Bruijn sequences Self-referential sequences Generate lower case ASCII alphabet
#ARM_Assembly
ARM Assembly
  /* ARM assembly Raspberry PI */ /* program splitcar.s */   /************************************/ /* Constantes */ /************************************/ .equ STDOUT, 1 @ Linux output console .equ EXIT, 1 @ Linux syscall .equ WRITE, 4 @ Linux syscall   /*********************************/ /* Initialized data */ /*********************************/ .data szCarriageReturn: .asciz "\n" szString1: .asciz "gHHH5YY++///\\" /* IMPORTANT REMARK for compiler as The way to get special characters into a string is to escape these characters: precede them with a backslash ‘\’ character. For example ‘\\’ represents one backslash: the first \ is an escape which tells as to interpret the second character literally as a backslash (which prevents as from recognizing the second \ as an escape character). */   /*********************************/ /* UnInitialized data */ /*********************************/ .bss sBuffer: .skip 100   /*********************************/ /* code section */ /*********************************/ .text .global main main: @ entry of program   ldr r0,iAdrszString1 @ input string address ldr r1,iAdrsBuffer @ output buffer address bl split   ldr r0,iAdrsBuffer bl affichageMess @ display message ldr r0,iAdrszCarriageReturn bl affichageMess     100: @ standard end of the program mov r0, #0 @ return code mov r7, #EXIT @ request to exit program svc #0 @ perform the system call   iAdrszString1: .int szString1 iAdrszCarriageReturn: .int szCarriageReturn iAdrsBuffer: .int sBuffer   /******************************************************************/ /* generate value */ /******************************************************************/ /* r0 contains the address of input string */ /* r1 contains the address of output buffer */   split: push {r1-r5,lr} @ save registers mov r4,#0 @ indice loop input string mov r5,#0 @ indice buffer ldrb r2,[r0,r4] @ read first char in reg r2 cmp r2,#0 @ if null -> end beq 3f strb r2,[r1,r5] @ store char in buffer add r5,#1 @ increment location buffer 1: ldrb r3,[r0,r4] @read char[r4] in reg r3 cmp r3,#0 @ if null end beq 3f cmp r2,r3 @ compare two characters streqb r3,[r1,r5] @ = -> store char in buffer beq 2f @ loop   mov r2,#',' @ else store comma in buffer strb r2,[r1,r5] @ store char in buffer add r5,#1 mov r2,#' ' @ and store space in buffer strb r2,[r1,r5] add r5,#1 strb r3,[r1,r5] @ and store input char in buffer mov r2,r3 @ and maj r2 with new char 2: add r5,#1 @ increment indices add r4,#1 b 1b @ and loop 3: strb r3,[r1,r5] @ store zero final in buffer 100: pop {r1-r5,lr} bx lr @ return   /******************************************************************/ /* display text with size calculation */ /******************************************************************/ /* r0 contains the address of the message */ affichageMess: push {r0,r1,r2,r7,lr} @ save registres mov r2,#0 @ counter length 1: @ loop length calculation ldrb r1,[r0,r2] @ read octet start position + index cmp r1,#0 @ if 0 its over addne r2,r2,#1 @ else add 1 in the length bne 1b @ and loop @ so here r2 contains the length of the message mov r1,r0 @ address message in r1 mov r0,#STDOUT @ code to write to the standard output Linux mov r7, #WRITE @ code call system "write" svc #0 @ call systeme pop {r0,r1,r2,r7,lr} @ restaur des 2 registres */ bx lr @ return   output : gg, HHH, 5, YY, ++, ///, \  
http://rosettacode.org/wiki/Stern-Brocot_sequence
Stern-Brocot sequence
For this task, the Stern-Brocot sequence is to be generated by an algorithm similar to that employed in generating the Fibonacci sequence. The first and second members of the sequence are both 1:     1, 1 Start by considering the second member of the sequence Sum the considered member of the sequence and its precedent, (1 + 1) = 2, and append it to the end of the sequence:     1, 1, 2 Append the considered member of the sequence to the end of the sequence:     1, 1, 2, 1 Consider the next member of the series, (the third member i.e. 2) GOTO 3         ─── Expanding another loop we get: ─── Sum the considered member of the sequence and its precedent, (2 + 1) = 3, and append it to the end of the sequence:     1, 1, 2, 1, 3 Append the considered member of the sequence to the end of the sequence:     1, 1, 2, 1, 3, 2 Consider the next member of the series, (the fourth member i.e. 1) The task is to Create a function/method/subroutine/procedure/... to generate the Stern-Brocot sequence of integers using the method outlined above. Show the first fifteen members of the sequence. (This should be: 1, 1, 2, 1, 3, 2, 3, 1, 4, 3, 5, 2, 5, 3, 4) Show the (1-based) index of where the numbers 1-to-10 first appears in the sequence. Show the (1-based) index of where the number 100 first appears in the sequence. Check that the greatest common divisor of all the two consecutive members of the series up to the 1000th member, is always one. Show your output on this page. Related tasks   Fusc sequence.   Continued fraction/Arithmetic Ref Infinite Fractions - Numberphile (Video). Trees, Teeth, and Time: The mathematics of clock making. A002487 The On-Line Encyclopedia of Integer Sequences.
#Oforth
Oforth
: stern(n) | l i | ListBuffer new dup add(1) dup add(1) dup ->l n 1- 2 / loop: i [ l at(i) l at(i 1+) tuck + l add l add ] n 2 mod ifFalse: [ dup removeLast drop ] dup freeze ;   stern(10000) Constant new: Sterns
http://rosettacode.org/wiki/Stair-climbing_puzzle
Stair-climbing puzzle
From Chung-Chieh Shan (LtU): Your stair-climbing robot has a very simple low-level API: the "step" function takes no argument and attempts to climb one step as a side effect. Unfortunately, sometimes the attempt fails and the robot clumsily falls one step instead. The "step" function detects what happens and returns a boolean flag: true on success, false on failure. Write a function "step_up" that climbs one step up [from the initial position] (by repeating "step" attempts if necessary). Assume that the robot is not already at the top of the stairs, and neither does it ever reach the bottom of the stairs. How small can you make "step_up"? Can you avoid using variables (even immutable ones) and numbers? Here's a pseudo-code of a simple recursive solution without using variables: func step_up() { if not step() { step_up(); step_up(); } } Inductive proof that step_up() steps up one step, if it terminates: Base case (if the step() call returns true): it stepped up one step. QED Inductive case (if the step() call returns false): Assume that recursive calls to step_up() step up one step. It stepped down one step (because step() returned false), but now we step up two steps using two step_up() calls. QED The second (tail) recursion above can be turned into an iteration, as follows: func step_up() { while not step() { step_up(); } }
#XPL0
XPL0
proc Step_up; \Iterative version int I; [I:= 0; while I<1 do if Step then I:= I+1 else I:= I-1; ];   proc Step_up; \Recursive version while not Step do Step_up;
http://rosettacode.org/wiki/Stair-climbing_puzzle
Stair-climbing puzzle
From Chung-Chieh Shan (LtU): Your stair-climbing robot has a very simple low-level API: the "step" function takes no argument and attempts to climb one step as a side effect. Unfortunately, sometimes the attempt fails and the robot clumsily falls one step instead. The "step" function detects what happens and returns a boolean flag: true on success, false on failure. Write a function "step_up" that climbs one step up [from the initial position] (by repeating "step" attempts if necessary). Assume that the robot is not already at the top of the stairs, and neither does it ever reach the bottom of the stairs. How small can you make "step_up"? Can you avoid using variables (even immutable ones) and numbers? Here's a pseudo-code of a simple recursive solution without using variables: func step_up() { if not step() { step_up(); step_up(); } } Inductive proof that step_up() steps up one step, if it terminates: Base case (if the step() call returns true): it stepped up one step. QED Inductive case (if the step() call returns false): Assume that recursive calls to step_up() step up one step. It stepped down one step (because step() returned false), but now we step up two steps using two step_up() calls. QED The second (tail) recursion above can be turned into an iteration, as follows: func step_up() { while not step() { step_up(); } }
#zkl
zkl
fcn step{ } // add code to return Bool fcn stepUp{ while(not step()){ self.fcn() } }
http://rosettacode.org/wiki/Spinning_rod_animation/Text
Spinning rod animation/Text
Task An animation with the following frames in the following order (if certain characters aren't available or can't be used correctly in the programming language, alternate characters can replace any of these frames) must animate with a delay of 0.25 seconds between each frame, with the previous frame being cleared before the next frame appears:   |   /   - or ─   \ A stand-alone version that loops and/or a version that doesn't loop can be made. These examples can also be converted into a system used in game development which is called on a HUD or GUI element requiring it to be called each frame to output the text, and advance the frame when the frame delay has passed. You can also use alternate text such as the . animation ( . | .. | ... | .. | repeat from . ) or the logic can be updated to include a ping/pong style where the frames advance forward, reach the end and then play backwards and when they reach the beginning they start over ( technically, you'd stop one frame prior to prevent the first frame playing twice, or write it another way ). There are many different ways you can incorporate text animations. Here are a few text ideas - each frame is in quotes. If you can think of any, add them to this page! There are 2 examples for several of these; the first is the base animation with only unique sets of characters. The second consists of the primary set from a - n and doubled, minus the first and last element ie: We only want the center. This way an animation can play forwards, and then in reverse ( ping ponging ) without having to code that feature. For the animations with 3 elements, we only add 1, the center. with 4, it becomes 6. with 10, it becomes 18. We don't need the second option for some of the animations if they connect smoothly, when animated, back to the first element. ... doesn't connect with . cleanly - there is a large leap. The rotating pipe meets the first perfectly so it isn't necessary, etc..   Dots - Option A requires ping / pong enabled script. Option B just adds the elements in the center.   '.', '..', '...'   '.', '..', '...', '..'   Pipe - This has the uniform sideways pipe instead of a hyphen to prevent non-uniform sizing.   '|', '/', '─', '\'   Stars - Option A requires ping / pong enabled script. Option B just adds the elements from the center.   '⁎', '⁑', '⁂'   '⁎', '⁑', '⁂', '⁑'   Clock - These need to be ordered. I haven't done this yet as the application I was testing the system in doesn't support these wingdings / icons. But this would look quite nice and you could set it up to go forward, or backward during an undo process, etc..   '🕛', '🕧', '🕐', '🕜', '🕑', '🕝', '🕒', '🕞', '🕓', '🕟', '🕔', '🕠', '🕕', '🕖', '🕗', '🕘', '🕙', '🕚', '🕡', '🕢', '🕣', '🕤', '🕥', '🕦'   Arrows:   '⬍', '⬈', '➞', '⬊', '⬍', '⬋', '⬅', '⬉'   Bird - This looks decent but may be missing something.   '︷', '︵', '︹', '︺', '︶', '︸'   '︷', '︵', '︹', '︺', '︶', '︸', '︶', '︺', '︹', '︵'   Plants - This isn't quite complete   '☘', '❀', '❁'   '☘', '❀', '❁', '❀'   Eclipse - From Raku Throbber post author   '🌑', '🌒', '🌓', '🌔', '🌕', '🌖', '🌗', '🌘'
#11l
11l
L L(rod) ‘\|/-’ print(rod, end' "\r") sleep(0.25)
http://rosettacode.org/wiki/Stack
Stack
Data Structure This illustrates a data structure, a means of storing data within a program. You may see other such structures in the Data Structures category. A stack is a container of elements with   last in, first out   access policy.   Sometimes it also called LIFO. The stack is accessed through its top. The basic stack operations are:   push   stores a new element onto the stack top;   pop   returns the last pushed stack element, while removing it from the stack;   empty   tests if the stack contains no elements. Sometimes the last pushed stack element is made accessible for immutable access (for read) or mutable access (for write):   top   (sometimes called peek to keep with the p theme) returns the topmost element without modifying the stack. Stacks allow a very simple hardware implementation. They are common in almost all processors. In programming, stacks are also very popular for their way (LIFO) of resource management, usually memory. Nested scopes of language objects are naturally implemented by a stack (sometimes by multiple stacks). This is a classical way to implement local variables of a re-entrant or recursive subprogram. Stacks are also used to describe a formal computational framework. See stack machine. Many algorithms in pattern matching, compiler construction (e.g. recursive descent parsers), and machine learning (e.g. based on tree traversal) have a natural representation in terms of stacks. Task Create a stack supporting the basic operations: push, pop, empty. See also Array Associative array: Creation, Iteration Collections Compound data type Doubly-linked list: Definition, Element definition, Element insertion, List Traversal, Element Removal Linked list Queue: Definition, Usage Set Singly-linked list: Element definition, Element insertion, List Traversal, Element Removal Stack
#ATS
ATS
(* Stacks implemented as linked lists. *)   (* A nonlinear stack type of size n, which is good for when you are using a garbage collector or can let the memory leak. *) typedef stack_t (t : t@ype+, n : int) = list (t, n) typedef stack_t (t : t@ype+) = [n : int] stack_t (t, n)   (* A linear stack type of size n, which requires (and will enforce) explicit freeing. (Note that a "peek" function for a linear stack is a complicated topic. But the task avoids this issue.) *) viewtypedef stack_vt (vt : vt@ype+, n : int) = list_vt (vt, n) viewtypedef stack_vt (vt : vt@ype+) = [n : int] stack_vt (vt, n)   (* Proof that a given nonlinear stack does not have a nonnegative size. *) prfn lemma_stack_t_param {n : int} {t : t@ype} (stack : stack_t (t, n)) :<prf> [0 <= n] void = lemma_list_param stack   (* Proof that a given linear stack does not have a nonnegative size. *) prfn lemma_stack_vt_param {n : int} {vt : vt@ype} (stack : !stack_vt (vt, n)) :<prf> [0 <= n] void = lemma_list_vt_param stack   (* Create an empty nonlinear stack. *) fn {} stack_t_nil {t : t@ype} () :<> stack_t (t, 0) = list_nil ()   (* Create an empty linear stack. *) fn {} stack_vt_nil {vt : vt@ype} () :<> stack_vt (vt, 0) = list_vt_nil ()   (* Is a nonlinear stack empty? *) fn {} stack_t_is_empty {n : int} {t : t@ype} (stack : stack_t (t, n)) :<> [empty : bool | empty == (n == 0)] bool empty = case+ stack of | list_nil _ => true | list_cons _ => false   (* Is a linear stack empty? *) fn {} stack_vt_is_empty {n : int} {vt : vt@ype} (* ! = pass by value; stack is preserved. *) (stack : !stack_vt (vt, n)) :<> [empty : bool | empty == (n == 0)] bool empty = case+ stack of | list_vt_nil _ => true | list_vt_cons _ => false   (* Push to a nonlinear stack that is stored in a variable. *) fn {t : t@ype} stack_t_push {n : int} (stack : &stack_t (t, n) >> stack_t (t, m), x  : t) :<!wrt> (* It is proved that the stack is raised one higher. *) #[m : int | 1 <= m; m == n + 1] void = let prval _ = lemma_stack_t_param stack prval _ = prop_verify {0 <= n} () in stack := list_cons (x, stack) end   (* Push to a linear stack that is stored in a variable. Beware: if x is linear, it is consumed. *) fn {vt : vt@ype} stack_vt_push {n : int} (stack : &stack_vt (vt, n) >> stack_vt (vt, m), x  : vt) :<!wrt> (* It is proved that the stack is raised one higher. *) #[m : int | 1 <= m; m == n + 1] void = let prval _ = lemma_stack_vt_param stack prval _ = prop_verify {0 <= n} () in stack := list_vt_cons (x, stack) end   (* Pop from a nonlinear stack that is stored in a variable. It is impossible (unless you cheat the typechecker) to pop from an empty stack. *) fn {t : t@ype} stack_t_pop {n : int | 1 <= n} (stack : &stack_t (t, n) >> stack_t (t, m)) :<!wrt> (* It is proved that the stack is lowered by one. *) #[m : int | m == n - 1] t = case+ stack of | list_cons (x, tail) => begin stack := tail; x end   (* Pop from a linear stack that is stored in a variable. It is impossible (unless you cheat the typechecker) to pop from an empty stack. *) fn {vt : vt@ype} stack_vt_pop {n : int | 1 <= n} (stack : &stack_vt (vt, n) >> stack_vt (vt, m)) :<!wrt> (* It is proved that the stack is lowered by one. *) #[m : int | m == n - 1] vt = case+ stack of | ~ list_vt_cons (x, tail) => (* ~ = the top node is consumed. *) begin stack := tail; x end   (* A linear stack has to be consumed. *) extern fun {vt : vt@ype} stack_vt_free$element_free (x : vt) :<> void fn {vt : vt@ype} stack_vt_free {n : int} (stack : stack_vt (vt, n)) :<> void = let fun loop {m : int | 0 <= m} .<m>. (* <-- proof of loop termination *) (stk : stack_vt (vt, m)) :<> void = case+ stk of | ~ list_vt_nil () => begin end | ~ list_vt_cons (x, tail) => begin stack_vt_free$element_free x; loop tail end   prval _ = lemma_stack_vt_param stack in loop stack end   implement main0 () = let var nonlinear_stack : stack_t (int) = stack_t_nil () var linear_stack : stack_vt (int) = stack_vt_nil () implement stack_vt_free$element_free<int> x = begin end   overload is_empty with stack_t_is_empty overload is_empty with stack_vt_is_empty   overload push with stack_t_push overload push with stack_vt_push   overload pop with stack_t_pop overload pop with stack_vt_pop in println! ("nonlinear_stack is empty? ", is_empty nonlinear_stack); println! ("linear_stack is empty? ", is_empty linear_stack);   println! ("pushing 3, 2, 1..."); push (nonlinear_stack, 3); push (nonlinear_stack, 2); push (nonlinear_stack, 1); push (linear_stack, 3); push (linear_stack, 2); push (linear_stack, 1);   println! ("nonlinear_stack is empty? ", is_empty nonlinear_stack); println! ("linear_stack is empty? ", is_empty linear_stack);   println! ("popping nonlinear_stack: ", (pop nonlinear_stack) : int); println! ("popping nonlinear_stack: ", (pop nonlinear_stack) : int); println! ("popping nonlinear_stack: ", (pop nonlinear_stack) : int);   println! ("popping linear_stack: ", (pop linear_stack) : int); println! ("popping linear_stack: ", (pop linear_stack) : int); println! ("popping linear_stack: ", (pop linear_stack) : int);   println! ("nonlinear_stack is empty? ", is_empty nonlinear_stack); println! ("linear_stack is empty? ", is_empty linear_stack);   stack_vt_free<int> linear_stack end
http://rosettacode.org/wiki/SQL-based_authentication
SQL-based authentication
This task has three parts: Connect to a MySQL database (connect_db) Create user/password records in the following table (create_user) Authenticate login requests against the table (authenticate_user) This is the table definition: CREATE TABLE users ( userid INT PRIMARY KEY AUTO_INCREMENT, username VARCHAR(32) UNIQUE KEY NOT NULL, pass_salt tinyblob NOT NULL, -- a string of 16 random bytes pass_md5 tinyblob NOT NULL -- binary MD5 hash of pass_salt concatenated with the password ); (pass_salt and pass_md5 would be binary(16) values, but MySQL versions before 5.0.15 strip trailing spaces when selecting them.)
#Raven
Raven
'mysql://root@localhost/test' open as mysql 'abcdefghijklmnopqrstuvwxyz0123456789' as $salt_chars   # return userid for success and FALSE for failure. define create_user use $user, $pass group 16 each as i $salt_chars choose chr join as $pass_salt "%($pass_salt)s%($pass)s" md5 as $pass_md5 $user copy mysql escape as $user_name group 'INSERT IGNORE into users (username, pass_md5, pass_salt)' " VALUES ('%($user_name)s', unhex('%($pass_md5)s'), '%($pass_salt)s')" join mysql query inserted   # return userid for success and FALSE for failure. define authenticate_user use $user, $pass FALSE as $userid $user copy mysql escape as $user_name group 'SELECT userid, pass_salt, hex(pass_md5)' " FROM users WHERE username = '%($user_name)s'" join mysql query as rs rs selected if rs fetch values into $possible_userid, $pass_salt, $pass_md5 "%($pass_salt)s%($pass)s" md5 $pass_md5 lower = if $possible_userid as $userid $userid   'foo' 'bar' create_user  !if "could not create user\n" print bye 'foo' 'bar' authenticate_user !if "could not authenticate user\n" print bye   "user successfully created and authenticated!\n" print
http://rosettacode.org/wiki/SQL-based_authentication
SQL-based authentication
This task has three parts: Connect to a MySQL database (connect_db) Create user/password records in the following table (create_user) Authenticate login requests against the table (authenticate_user) This is the table definition: CREATE TABLE users ( userid INT PRIMARY KEY AUTO_INCREMENT, username VARCHAR(32) UNIQUE KEY NOT NULL, pass_salt tinyblob NOT NULL, -- a string of 16 random bytes pass_md5 tinyblob NOT NULL -- binary MD5 hash of pass_salt concatenated with the password ); (pass_salt and pass_md5 would be binary(16) values, but MySQL versions before 5.0.15 strip trailing spaces when selecting them.)
#Ruby
Ruby
require 'mysql2' require 'securerandom' require 'digest'   def connect_db(host, port = nil, username, password, db) Mysql2::Client.new( host: host, port: port, username: username, password: password, database: db ) end   def create_user(client, username, password) salt = SecureRandom.random_bytes(16) password_md5 = Digest::MD5.hexdigest(salt + password)   statement = client.prepare('INSERT INTO users (username, pass_salt, pass_md5) VALUES (?, ?, ?)') statement.execute(username, salt, password_md5) statement.last_id end   def authenticate_user(client, username, password) user_record = client.prepare("SELECT SELECT pass_salt, pass_md5 FROM users WHERE username = '#{client.escape(username)}'").first return false unless user_record   password_md5 = Digest::MD5.hexdigest(user_record['pass_salt'] + password) password_md5 == user_record['pass_md5'] end
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#C.23
C#
using SpeechLib;   namespace Speaking_Computer { public class Program { private static void Main() { var voice = new SpVoice(); voice.Speak("This is an example of speech synthesis."); } } }
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#Clojure
Clojure
(use 'speech-synthesis.say) (say "This is an example of speech synthesis.")
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#FreeBASIC
FreeBASIC
''This works on Windows. Does anyone know how it would be done in Linux?   Sub speak(texto As String) Dim As String frase frase ="mshta vbscript:Execute(""CreateObject(""""SAPI.SpVoice"""").Speak("""""+texto+""""")(window.close)"")" Print texto Shell frase End Sub   speak "Vamos a contar " + str(123456) speak "This is an example of speech synthesis." Sleep
http://rosettacode.org/wiki/Square_but_not_cube
Square but not cube
Task Show the first   30   positive integers which are squares but not cubes of such integers. Optionally, show also the first   3   positive integers which are both squares and cubes,   and mark them as such.
#Comal
Comal
0010 ZONE 5 0020 cube_n#:=0;square_n#:=0;seen#:=0 0030 WHILE seen#<30 DO 0040 WHILE cube_n#^3<square_n#^2 DO cube_n#:+1 0050 IF cube_n#^3<>square_n#^2 THEN 0060 PRINT square_n#^2, 0070 seen#:+1 0080 IF seen# MOD 5=0 THEN PRINT 0090 ENDIF 0100 square_n#:+1 0110 ENDWHILE 0120 END
http://rosettacode.org/wiki/Square_but_not_cube
Square but not cube
Task Show the first   30   positive integers which are squares but not cubes of such integers. Optionally, show also the first   3   positive integers which are both squares and cubes,   and mark them as such.
#Commodore_BASIC
Commodore BASIC
100 DIM SC(2): SC = 0: REM REMEMBER SQUARE CUBES 110 PRINT "SQUARES BUT NOT CUBES:" 120 N = 0: REM NUMBER OF NON-CUBE SQUARES FOUND 130 SR = 1: REM CURRENT SQUARE ROOT 140 CR = 1: CU = 1: REM CURRENT CUBE ROOT AND CUBE 150 REM BEGIN LOOP 160 : IF N >= 30 THEN 230 170 : SQ = SR * SR 180 : IF SQ > CU THEN CR = CR + 1: CU = CR*CR*CR: GOTO 180 190 : IF SQ = CU THEN SC(SC) = SQ: SC = SC + 1 200 : IF SQ < CU THEN N = N + 1:PRINT SQ, 210 : SR = SR + 1 220 GOTO 160: REM END LOOP 230 PRINT: PRINT 240 PRINT "BOTH SQUARES AND CUBES:" 250 FOR I=0 TO SC-1: PRINT SC(I),: NEXT I 260 PRINT
http://rosettacode.org/wiki/Statistics/Basic
Statistics/Basic
Statistics is all about large groups of numbers. When talking about a set of sampled data, most frequently used is their mean value and standard deviation (stddev). If you have set of data x i {\displaystyle x_{i}} where i = 1 , 2 , … , n {\displaystyle i=1,2,\ldots ,n\,\!} , the mean is x ¯ ≡ 1 n ∑ i x i {\displaystyle {\bar {x}}\equiv {1 \over n}\sum _{i}x_{i}} , while the stddev is σ ≡ 1 n ∑ i ( x i − x ¯ ) 2 {\displaystyle \sigma \equiv {\sqrt {{1 \over n}\sum _{i}\left(x_{i}-{\bar {x}}\right)^{2}}}} . When examining a large quantity of data, one often uses a histogram, which shows the counts of data samples falling into a prechosen set of intervals (or bins). When plotted, often as bar graphs, it visually indicates how often each data value occurs. Task Using your language's random number routine, generate real numbers in the range of [0, 1]. It doesn't matter if you chose to use open or closed range. Create 100 of such numbers (i.e. sample size 100) and calculate their mean and stddev. Do so for sample size of 1,000 and 10,000, maybe even higher if you feel like. Show a histogram of any of these sets. Do you notice some patterns about the standard deviation? Extra Sometimes so much data need to be processed that it's impossible to keep all of them at once. Can you calculate the mean, stddev and histogram of a trillion numbers? (You don't really need to do a trillion numbers, just show how it can be done.) Hint For a finite population with equal probabilities at all points, one can derive: ( x − x ¯ ) 2 ¯ = x 2 ¯ − x ¯ 2 {\displaystyle {\overline {(x-{\overline {x}})^{2}}}={\overline {x^{2}}}-{\overline {x}}^{2}} Or, more verbosely: 1 N ∑ i = 1 N ( x i − x ¯ ) 2 = 1 N ( ∑ i = 1 N x i 2 ) − x ¯ 2 . {\displaystyle {\frac {1}{N}}\sum _{i=1}^{N}(x_{i}-{\overline {x}})^{2}={\frac {1}{N}}\left(\sum _{i=1}^{N}x_{i}^{2}\right)-{\overline {x}}^{2}.} See also Statistics/Normal distribution Tasks for calculating statistical measures in one go moving (sliding window) moving (cumulative) Mean Arithmetic Statistics/Basic Averages/Arithmetic mean Averages/Pythagorean means Averages/Simple moving average Geometric Averages/Pythagorean means Harmonic Averages/Pythagorean means Quadratic Averages/Root mean square Circular Averages/Mean angle Averages/Mean time of day Median Averages/Median Mode Averages/Mode Standard deviation Statistics/Basic Cumulative standard deviation
#Kotlin
Kotlin
// version 1.1.2   val rand = java.util.Random()   fun basicStats(sampleSize: Int) { if (sampleSize < 1) return val r = DoubleArray(sampleSize) val h = IntArray(10) // all zero by default /* Generate 'sampleSize' random numbers in the interval [0, 1) and calculate in which box they will fall when drawing the histogram */ for (i in 0 until sampleSize) { r[i] = rand.nextDouble() h[(r[i] * 10).toInt()]++ }   // adjust one of the h[] values if necessary to ensure they sum to sampleSize val adj = sampleSize - h.sum() if (adj != 0) { for (i in 0..9) { h[i] += adj if (h[i] >= 0) break h[i] -= adj } }   val mean = r.average() val sd = Math.sqrt(r.map { (it - mean) * (it - mean) }.average())   // Draw a histogram of the data with interval 0.1 var numStars: Int // If sample size > 500 then normalize histogram to 500 val scale = if (sampleSize <= 500) 1.0 else 500.0 / sampleSize println("Sample size $sampleSize\n") println(" Mean ${"%1.6f".format(mean)} SD ${"%1.6f".format(sd)}\n") for (i in 0..9) { print("  %1.2f : ".format(i / 10.0)) print("%5d ".format(h[i])) numStars = (h[i] * scale + 0.5).toInt() println("*".repeat(numStars)) } println() }   fun main(args: Array<String>) { val sampleSizes = intArrayOf(100, 1_000, 10_000, 100_000) for (sampleSize in sampleSizes) basicStats(sampleSize) }
http://rosettacode.org/wiki/Square-free_integers
Square-free integers
Task Write a function to test if a number is   square-free. A   square-free   is an integer which is divisible by no perfect square other than   1   (unity). For this task, only positive square-free numbers will be used. Show here (on this page) all square-free integers (in a horizontal format) that are between:   1   ───►   145     (inclusive)   1 trillion   ───►   1 trillion + 145     (inclusive) (One trillion = 1,000,000,000,000) Show here (on this page) the count of square-free integers from:   1   ───►   one hundred     (inclusive)   1   ───►   one thousand     (inclusive)   1   ───►   ten thousand     (inclusive)   1   ───►   one hundred thousand     (inclusive)   1   ───►   one million     (inclusive) See also   the Wikipedia entry:   square-free integer
#Python
Python
  import math   def SquareFree ( _number ) : max = (int) (math.sqrt ( _number ))   for root in range ( 2, max+1 ): # Create a custom prime sieve if 0 == _number % ( root * root ): return False   return True   def ListSquareFrees( _start, _end ): count = 0 for i in range ( _start, _end+1 ): if True == SquareFree( i ): print ( "{}\t".format(i), end="" ) count += 1   print ( "\n\nTotal count of square-free numbers between {} and {}: {}".format(_start, _end, count))   ListSquareFrees( 1, 100 ) ListSquareFrees( 1000000000000, 1000000000145 )  
http://rosettacode.org/wiki/Stem-and-leaf_plot
Stem-and-leaf plot
Create a well-formatted stem-and-leaf plot from the following data set, where the leaves are the last digits: 12 127 28 42 39 113 42 18 44 118 44 37 113 124 37 48 127 36 29 31 125 139 131 115 105 132 104 123 35 113 122 42 117 119 58 109 23 105 63 27 44 105 99 41 128 121 116 125 32 61 37 127 29 113 121 58 114 126 53 114 96 25 109 7 31 141 46 13 27 43 117 116 27 7 68 40 31 115 124 42 128 52 71 118 117 38 27 106 33 117 116 111 40 119 47 105 57 122 109 124 115 43 120 43 27 27 18 28 48 125 107 114 34 133 45 120 30 127 31 116 146 The primary intent of this task is the presentation of information. It is acceptable to hardcode the data set or characteristics of it (such as what the stems are) in the example, insofar as it is impractical to make the example generic to any data set. For example, in a computation-less language like HTML the data set may be entirely prearranged within the example; the interesting characteristics are how the proper visual formatting is arranged. If possible, the output should not be a bitmap image. Monospaced plain text is acceptable, but do better if you can. It may be a window, i.e. not a file. Note: If you wish to try multiple data sets, you might try this generator.
#PureBasic
PureBasic
If OpenConsole() Dim MyList(120) Define i, j, StemMax, StemMin Restore MyData ; Get the address of MyData, e.g. the data to print as a Stem-and-leaf plot For a=0 To 120 Read.i MyList(a) ; Read the data into the used Array If MyList(a)>StemMax StemMax=MyList(a) ; Find the largest Stem layer at the same time EndIf If MyList(a)<StemMin StemMin=MyList(a) ; Find the smallest Stem layer at the same time EndIf Next StemMax/10: StemMin/10 ; Remove the leafs from the Stem limits SortArray(MyList(),#PB_Sort_Ascending) ; Sort the data   For i=StemMin To StemMax Print(RSet(Str(i),3)+" | ") ; Print the Stem For j=0 To 120 If MyList(j)<10*i ; Skip all smaller then current Continue ElseIf MyList(j)>=10*(i+1) ; Break current print if a new Stem layer is reached Break Else Print(Str(MyList(j)%10)+" ") ; Print all Leafs on this current Stem layer EndIf Next j PrintN("") Next i   Print(#CRLF$+#CRLF$+"Press ENTER to exit") Input() CloseConsole() EndIf   DataSection MyData: Data.i 12,127, 28, 42, 39,113, 42, 18, 44,118, 44, 37,113,124, 37, 48,127, 36, 29, 31,125,139,131,115 Data.i 105,132,104,123, 35,113,122, 42,117,119, 58,109, 23,105, 63, 27, 44,105, 99, 41,128,121,116,125 Data.i 32, 61, 37,127, 29,113,121, 58,114,126, 53,114, 96, 25,109, 7, 31,141, 46, 13, 27, 43,117,116 Data.i 27, 7, 68, 40, 31,115,124, 42,128, 52, 71,118,117, 38, 27,106, 33,117,116,111, 40,119, 47,105 Data.i 57,122,109,124,115, 43,120, 43, 27, 27, 18, 28, 48,125,107,114, 34,133, 45,120, 30,127, 31,116,146 EndDataSection
http://rosettacode.org/wiki/Split_a_character_string_based_on_change_of_character
Split a character string based on change of character
Task Split a (character) string into comma (plus a blank) delimited strings based on a change of character   (left to right). Show the output here   (use the 1st example below). Blanks should be treated as any other character   (except they are problematic to display clearly).   The same applies to commas. For instance, the string: gHHH5YY++///\ should be split and show: g, HHH, 5, YY, ++, ///, \ Other tasks related to string operations: Metrics Array length String length Copy a string Empty string  (assignment) Counting Word frequency Letter frequency Jewels and stones I before E except after C Bioinformatics/base count Count occurrences of a substring Count how many vowels and consonants occur in a string Remove/replace XXXX redacted Conjugate a Latin verb Remove vowels from a string String interpolation (included) Strip block comments Strip comments from a string Strip a set of characters from a string Strip whitespace from a string -- top and tail Strip control codes and extended characters from a string Anagrams/Derangements/shuffling Word wheel ABC problem Sattolo cycle Knuth shuffle Ordered words Superpermutation minimisation Textonyms (using a phone text pad) Anagrams Anagrams/Deranged anagrams Permutations/Derangements Find/Search/Determine ABC words Odd words Word ladder Semordnilap Word search Wordiff  (game) String matching Tea cup rim text Alternade words Changeable words State name puzzle String comparison Unique characters Unique characters in each string Extract file extension Levenshtein distance Palindrome detection Common list elements Longest common suffix Longest common prefix Compare a list of strings Longest common substring Find common directory path Words from neighbour ones Change e letters to i in words Non-continuous subsequences Longest common subsequence Longest palindromic substrings Longest increasing subsequence Words containing "the" substring Sum of the digits of n is substring of n Determine if a string is numeric Determine if a string is collapsible Determine if a string is squeezable Determine if a string has all unique characters Determine if a string has all the same characters Longest substrings without repeating characters Find words which contains all the vowels Find words which contains most consonants Find words which contains more than 3 vowels Find words which first and last three letters are equals Find words which odd letters are consonants and even letters are vowels or vice_versa Formatting Substring Rep-string Word wrap String case Align columns Literals/String Repeat a string Brace expansion Brace expansion using ranges Reverse a string Phrase reversals Comma quibbling Special characters String concatenation Substring/Top and tail Commatizing numbers Reverse words in a string Suffixation of decimal numbers Long literals, with continuations Numerical and alphabetical suffixes Abbreviations, easy Abbreviations, simple Abbreviations, automatic Song lyrics/poems/Mad Libs/phrases Mad Libs Magic 8-ball 99 Bottles of Beer The Name Game (a song) The Old lady swallowed a fly The Twelve Days of Christmas Tokenize Text between Tokenize a string Word break problem Tokenize a string with escaping Split a character string based on change of character Sequences Show ASCII table De Bruijn sequences Self-referential sequences Generate lower case ASCII alphabet
#Arturo
Arturo
parts: [] current: "" loop split {gHHH5YY++///\} 'ch [ if? or? empty? current contains? current ch -> 'current ++ ch else [ 'parts ++ current current: new ch ] ] 'parts ++ current print parts
http://rosettacode.org/wiki/Split_a_character_string_based_on_change_of_character
Split a character string based on change of character
Task Split a (character) string into comma (plus a blank) delimited strings based on a change of character   (left to right). Show the output here   (use the 1st example below). Blanks should be treated as any other character   (except they are problematic to display clearly).   The same applies to commas. For instance, the string: gHHH5YY++///\ should be split and show: g, HHH, 5, YY, ++, ///, \ Other tasks related to string operations: Metrics Array length String length Copy a string Empty string  (assignment) Counting Word frequency Letter frequency Jewels and stones I before E except after C Bioinformatics/base count Count occurrences of a substring Count how many vowels and consonants occur in a string Remove/replace XXXX redacted Conjugate a Latin verb Remove vowels from a string String interpolation (included) Strip block comments Strip comments from a string Strip a set of characters from a string Strip whitespace from a string -- top and tail Strip control codes and extended characters from a string Anagrams/Derangements/shuffling Word wheel ABC problem Sattolo cycle Knuth shuffle Ordered words Superpermutation minimisation Textonyms (using a phone text pad) Anagrams Anagrams/Deranged anagrams Permutations/Derangements Find/Search/Determine ABC words Odd words Word ladder Semordnilap Word search Wordiff  (game) String matching Tea cup rim text Alternade words Changeable words State name puzzle String comparison Unique characters Unique characters in each string Extract file extension Levenshtein distance Palindrome detection Common list elements Longest common suffix Longest common prefix Compare a list of strings Longest common substring Find common directory path Words from neighbour ones Change e letters to i in words Non-continuous subsequences Longest common subsequence Longest palindromic substrings Longest increasing subsequence Words containing "the" substring Sum of the digits of n is substring of n Determine if a string is numeric Determine if a string is collapsible Determine if a string is squeezable Determine if a string has all unique characters Determine if a string has all the same characters Longest substrings without repeating characters Find words which contains all the vowels Find words which contains most consonants Find words which contains more than 3 vowels Find words which first and last three letters are equals Find words which odd letters are consonants and even letters are vowels or vice_versa Formatting Substring Rep-string Word wrap String case Align columns Literals/String Repeat a string Brace expansion Brace expansion using ranges Reverse a string Phrase reversals Comma quibbling Special characters String concatenation Substring/Top and tail Commatizing numbers Reverse words in a string Suffixation of decimal numbers Long literals, with continuations Numerical and alphabetical suffixes Abbreviations, easy Abbreviations, simple Abbreviations, automatic Song lyrics/poems/Mad Libs/phrases Mad Libs Magic 8-ball 99 Bottles of Beer The Name Game (a song) The Old lady swallowed a fly The Twelve Days of Christmas Tokenize Text between Tokenize a string Word break problem Tokenize a string with escaping Split a character string based on change of character Sequences Show ASCII table De Bruijn sequences Self-referential sequences Generate lower case ASCII alphabet
#AutoHotkey
AutoHotkey
Split_Change(str){ for i, v in StrSplit(str) res .= (v=prev) ? v : (res?", " :"") v , prev := v return res }
http://rosettacode.org/wiki/Stern-Brocot_sequence
Stern-Brocot sequence
For this task, the Stern-Brocot sequence is to be generated by an algorithm similar to that employed in generating the Fibonacci sequence. The first and second members of the sequence are both 1:     1, 1 Start by considering the second member of the sequence Sum the considered member of the sequence and its precedent, (1 + 1) = 2, and append it to the end of the sequence:     1, 1, 2 Append the considered member of the sequence to the end of the sequence:     1, 1, 2, 1 Consider the next member of the series, (the third member i.e. 2) GOTO 3         ─── Expanding another loop we get: ─── Sum the considered member of the sequence and its precedent, (2 + 1) = 3, and append it to the end of the sequence:     1, 1, 2, 1, 3 Append the considered member of the sequence to the end of the sequence:     1, 1, 2, 1, 3, 2 Consider the next member of the series, (the fourth member i.e. 1) The task is to Create a function/method/subroutine/procedure/... to generate the Stern-Brocot sequence of integers using the method outlined above. Show the first fifteen members of the sequence. (This should be: 1, 1, 2, 1, 3, 2, 3, 1, 4, 3, 5, 2, 5, 3, 4) Show the (1-based) index of where the numbers 1-to-10 first appears in the sequence. Show the (1-based) index of where the number 100 first appears in the sequence. Check that the greatest common divisor of all the two consecutive members of the series up to the 1000th member, is always one. Show your output on this page. Related tasks   Fusc sequence.   Continued fraction/Arithmetic Ref Infinite Fractions - Numberphile (Video). Trees, Teeth, and Time: The mathematics of clock making. A002487 The On-Line Encyclopedia of Integer Sequences.
#PARI.2FGP
PARI/GP
  \\ Stern-Brocot sequence \\ 5/27/16 aev SternBrocot(n)={ my(L=List([1,1]),k=2); if(n<3,return(L)); for(i=2,n, listput(L,L[i]+L[i-1]); if(k++>=n, break); listput(L,L[i]);if(k++>=n, break)); return(Vec(L)); } \\ Find the first item in any list starting with sind index (return 0 or index). \\ 9/11/2015 aev findinlist(list, item, sind=1)={ my(idx=0, ln=#list); if(ln==0 || sind<1 || sind>ln, return(0)); for(i=sind, ln, if(list[i]==item, idx=i; break;)); return(idx); } { \\ Required tests: my(v,j); v=SternBrocot(15); print1("The first 15: "); print(v); v=SternBrocot(1200); print1("The first i@n: "); \\print(v); for(i=1,10, if(j=findinlist(v,i), print1(i,"@",j,", "))); if(j=findinlist(v,100), print(100,"@",j)); v=SternBrocot(10000); print1("All GCDs=1?: "); j=1; for(i=2,10000, j*=gcd(v[i-1],v[i])); if(j==1, print("Yes"), print("No")); }  
http://rosettacode.org/wiki/Spinning_rod_animation/Text
Spinning rod animation/Text
Task An animation with the following frames in the following order (if certain characters aren't available or can't be used correctly in the programming language, alternate characters can replace any of these frames) must animate with a delay of 0.25 seconds between each frame, with the previous frame being cleared before the next frame appears:   |   /   - or ─   \ A stand-alone version that loops and/or a version that doesn't loop can be made. These examples can also be converted into a system used in game development which is called on a HUD or GUI element requiring it to be called each frame to output the text, and advance the frame when the frame delay has passed. You can also use alternate text such as the . animation ( . | .. | ... | .. | repeat from . ) or the logic can be updated to include a ping/pong style where the frames advance forward, reach the end and then play backwards and when they reach the beginning they start over ( technically, you'd stop one frame prior to prevent the first frame playing twice, or write it another way ). There are many different ways you can incorporate text animations. Here are a few text ideas - each frame is in quotes. If you can think of any, add them to this page! There are 2 examples for several of these; the first is the base animation with only unique sets of characters. The second consists of the primary set from a - n and doubled, minus the first and last element ie: We only want the center. This way an animation can play forwards, and then in reverse ( ping ponging ) without having to code that feature. For the animations with 3 elements, we only add 1, the center. with 4, it becomes 6. with 10, it becomes 18. We don't need the second option for some of the animations if they connect smoothly, when animated, back to the first element. ... doesn't connect with . cleanly - there is a large leap. The rotating pipe meets the first perfectly so it isn't necessary, etc..   Dots - Option A requires ping / pong enabled script. Option B just adds the elements in the center.   '.', '..', '...'   '.', '..', '...', '..'   Pipe - This has the uniform sideways pipe instead of a hyphen to prevent non-uniform sizing.   '|', '/', '─', '\'   Stars - Option A requires ping / pong enabled script. Option B just adds the elements from the center.   '⁎', '⁑', '⁂'   '⁎', '⁑', '⁂', '⁑'   Clock - These need to be ordered. I haven't done this yet as the application I was testing the system in doesn't support these wingdings / icons. But this would look quite nice and you could set it up to go forward, or backward during an undo process, etc..   '🕛', '🕧', '🕐', '🕜', '🕑', '🕝', '🕒', '🕞', '🕓', '🕟', '🕔', '🕠', '🕕', '🕖', '🕗', '🕘', '🕙', '🕚', '🕡', '🕢', '🕣', '🕤', '🕥', '🕦'   Arrows:   '⬍', '⬈', '➞', '⬊', '⬍', '⬋', '⬅', '⬉'   Bird - This looks decent but may be missing something.   '︷', '︵', '︹', '︺', '︶', '︸'   '︷', '︵', '︹', '︺', '︶', '︸', '︶', '︺', '︹', '︵'   Plants - This isn't quite complete   '☘', '❀', '❁'   '☘', '❀', '❁', '❀'   Eclipse - From Raku Throbber post author   '🌑', '🌒', '🌓', '🌔', '🌕', '🌖', '🌗', '🌘'
#Action.21
Action!
PROC Wait(BYTE frames) BYTE RTCLOK=$14 frames==+RTCLOK WHILE frames#RTCLOK DO OD RETURN   PROC Main() CHAR ARRAY spin="|/-\" BYTE i, CH=$02FC, ;Internal hardware value for last key pressed CRSINH=$02F0 ;Controls visibility of cursor   Print("Press any key to exit...") CRSINH=1 ;hide cursor i=1 WHILE CH=$FF DO Put(spin(i)) Put(30) ;move cursor left i==+1 IF i>spin(0) THEN i=1 FI Wait(5) OD CH=$FF CRSINH=0 ;show cursor RETURN
http://rosettacode.org/wiki/Spinning_rod_animation/Text
Spinning rod animation/Text
Task An animation with the following frames in the following order (if certain characters aren't available or can't be used correctly in the programming language, alternate characters can replace any of these frames) must animate with a delay of 0.25 seconds between each frame, with the previous frame being cleared before the next frame appears:   |   /   - or ─   \ A stand-alone version that loops and/or a version that doesn't loop can be made. These examples can also be converted into a system used in game development which is called on a HUD or GUI element requiring it to be called each frame to output the text, and advance the frame when the frame delay has passed. You can also use alternate text such as the . animation ( . | .. | ... | .. | repeat from . ) or the logic can be updated to include a ping/pong style where the frames advance forward, reach the end and then play backwards and when they reach the beginning they start over ( technically, you'd stop one frame prior to prevent the first frame playing twice, or write it another way ). There are many different ways you can incorporate text animations. Here are a few text ideas - each frame is in quotes. If you can think of any, add them to this page! There are 2 examples for several of these; the first is the base animation with only unique sets of characters. The second consists of the primary set from a - n and doubled, minus the first and last element ie: We only want the center. This way an animation can play forwards, and then in reverse ( ping ponging ) without having to code that feature. For the animations with 3 elements, we only add 1, the center. with 4, it becomes 6. with 10, it becomes 18. We don't need the second option for some of the animations if they connect smoothly, when animated, back to the first element. ... doesn't connect with . cleanly - there is a large leap. The rotating pipe meets the first perfectly so it isn't necessary, etc..   Dots - Option A requires ping / pong enabled script. Option B just adds the elements in the center.   '.', '..', '...'   '.', '..', '...', '..'   Pipe - This has the uniform sideways pipe instead of a hyphen to prevent non-uniform sizing.   '|', '/', '─', '\'   Stars - Option A requires ping / pong enabled script. Option B just adds the elements from the center.   '⁎', '⁑', '⁂'   '⁎', '⁑', '⁂', '⁑'   Clock - These need to be ordered. I haven't done this yet as the application I was testing the system in doesn't support these wingdings / icons. But this would look quite nice and you could set it up to go forward, or backward during an undo process, etc..   '🕛', '🕧', '🕐', '🕜', '🕑', '🕝', '🕒', '🕞', '🕓', '🕟', '🕔', '🕠', '🕕', '🕖', '🕗', '🕘', '🕙', '🕚', '🕡', '🕢', '🕣', '🕤', '🕥', '🕦'   Arrows:   '⬍', '⬈', '➞', '⬊', '⬍', '⬋', '⬅', '⬉'   Bird - This looks decent but may be missing something.   '︷', '︵', '︹', '︺', '︶', '︸'   '︷', '︵', '︹', '︺', '︶', '︸', '︶', '︺', '︹', '︵'   Plants - This isn't quite complete   '☘', '❀', '❁'   '☘', '❀', '❁', '❀'   Eclipse - From Raku Throbber post author   '🌑', '🌒', '🌓', '🌔', '🌕', '🌖', '🌗', '🌘'
#Ada
Ada
with Ada.Text_IO;   procedure Spinning_Rod is use Ada.Text_IO;   type Index_Type is mod 4; Rod  : constant array (Index_Type) of Character := ('|', '/', '-', '\'); Index : Index_Type := 0; Char  : Character; Avail : Boolean; begin Put (ASCII.ESC & "[?25l"); -- Hide the cursor loop Put (ASCII.ESC & "[2J"); -- Clear Terminal Put (ASCII.ESC & "[0;0H"); -- Place Cursor at Top Left Corner Get_Immediate (Char, Avail); exit when Avail; Put (Rod (Index)); Index := Index_Type'Succ (Index); delay 0.250; end loop; Put (ASCII.ESC & "[?25h"); -- Restore the cursor end Spinning_Rod;
http://rosettacode.org/wiki/Stack
Stack
Data Structure This illustrates a data structure, a means of storing data within a program. You may see other such structures in the Data Structures category. A stack is a container of elements with   last in, first out   access policy.   Sometimes it also called LIFO. The stack is accessed through its top. The basic stack operations are:   push   stores a new element onto the stack top;   pop   returns the last pushed stack element, while removing it from the stack;   empty   tests if the stack contains no elements. Sometimes the last pushed stack element is made accessible for immutable access (for read) or mutable access (for write):   top   (sometimes called peek to keep with the p theme) returns the topmost element without modifying the stack. Stacks allow a very simple hardware implementation. They are common in almost all processors. In programming, stacks are also very popular for their way (LIFO) of resource management, usually memory. Nested scopes of language objects are naturally implemented by a stack (sometimes by multiple stacks). This is a classical way to implement local variables of a re-entrant or recursive subprogram. Stacks are also used to describe a formal computational framework. See stack machine. Many algorithms in pattern matching, compiler construction (e.g. recursive descent parsers), and machine learning (e.g. based on tree traversal) have a natural representation in terms of stacks. Task Create a stack supporting the basic operations: push, pop, empty. See also Array Associative array: Creation, Iteration Collections Compound data type Doubly-linked list: Definition, Element definition, Element insertion, List Traversal, Element Removal Linked list Queue: Definition, Usage Set Singly-linked list: Element definition, Element insertion, List Traversal, Element Removal Stack
#AutoHotkey
AutoHotkey
msgbox % stack("push", 4) msgbox % stack("push", 5) msgbox % stack("peek") msgbox % stack("pop") msgbox % stack("peek") msgbox % stack("empty") msgbox % stack("pop") msgbox % stack("empty") return   stack(command, value = 0) { static if !pointer pointer = 10000 if (command = "push") { _p%pointer% := value pointer -= 1 return value } if (command = "pop") { pointer += 1 return _p%pointer% } if (command = "peek") { next := pointer + 1 return _p%next% } if (command = "empty") { if (pointer == 10000) return "empty" else return 0 } }
http://rosettacode.org/wiki/SQL-based_authentication
SQL-based authentication
This task has three parts: Connect to a MySQL database (connect_db) Create user/password records in the following table (create_user) Authenticate login requests against the table (authenticate_user) This is the table definition: CREATE TABLE users ( userid INT PRIMARY KEY AUTO_INCREMENT, username VARCHAR(32) UNIQUE KEY NOT NULL, pass_salt tinyblob NOT NULL, -- a string of 16 random bytes pass_md5 tinyblob NOT NULL -- binary MD5 hash of pass_salt concatenated with the password ); (pass_salt and pass_md5 would be binary(16) values, but MySQL versions before 5.0.15 strip trailing spaces when selecting them.)
#Sidef
Sidef
require('DBI')   # returns a database handle configured to throw an exception on query errors func connect_db(dbname, host, user, pass) { var db = %s<DBI>.connect("dbi:mysql:#{dbname}:#{host}", user, pass) db || die (global DBI::errstr) db{:RaiseError} = 1 db }   # if the user was successfully created, returns its user id. # if the name was already in use, returns nil. func create_user(db, user, pass) { var salt = "C*".pack(16.of { 256.irand }...) db.do( "INSERT IGNORE INTO users (username, pass_salt, pass_md5) VALUES (?, ?, unhex(md5(concat(pass_salt, ?))))", nil, user, salt, pass ) ? db{:mysql_insertid} : nil }   # if the user is authentic, returns its user id. otherwise returns nil. func authenticate_user(db, user, pass) { db.selectrow_array("SELECT userid FROM users WHERE username=? AND pass_md5=unhex(md5(concat(pass_salt, ?)))", nil, user, pass ) }
http://rosettacode.org/wiki/SQL-based_authentication
SQL-based authentication
This task has three parts: Connect to a MySQL database (connect_db) Create user/password records in the following table (create_user) Authenticate login requests against the table (authenticate_user) This is the table definition: CREATE TABLE users ( userid INT PRIMARY KEY AUTO_INCREMENT, username VARCHAR(32) UNIQUE KEY NOT NULL, pass_salt tinyblob NOT NULL, -- a string of 16 random bytes pass_md5 tinyblob NOT NULL -- binary MD5 hash of pass_salt concatenated with the password ); (pass_salt and pass_md5 would be binary(16) values, but MySQL versions before 5.0.15 strip trailing spaces when selecting them.)
#Tcl
Tcl
package require tdbc   proc connect_db {handleName dbname host user pass} { package require tdbc::mysql tdbc::mysql::connection create $handleName -user $user -passwd $pass \ -host $host -database $dbname return $handleName }   # A simple helper to keep code shorter proc r64k {} { expr int(65536*rand()) }   proc create_user {handle user pass} { set salt [binary format ssssssss \ [r64k] [r64k] [r64k] [r64k] [r64k] [r64k] [r64k] [r64k]] # Note that we are using named parameters below, :user :salt :pass # They are bound automatically to local variables with the same name $handle allrows { INSERT IGNORE INTO users (username, pass_salt, pass_md5) VALUES (:user, :salt, unhex(md5(concat(:salt, :pass)))) } return ;# Ignore the result of the allrows method }   proc authenticate_user {handle user pass} { $handle foreach row { SELECT userid FROM users WHERE username=:user AND pass_md5=unhex(md5(concat(pass_salt, :pass))) } { return [dict get $row userid] } # Only get here if no rows selected error "authentication failed for user \"$user\"" }
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#GlovePIE
GlovePIE
if var.number=0 then var.number=1 say("This is an example of speech synthesis.") endif
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#Go
Go
package main   import ( "go/build" "log" "path/filepath"   "github.com/unixpickle/gospeech" "github.com/unixpickle/wav" )   const pkgPath = "github.com/unixpickle/gospeech" const input = "This is an example of speech synthesis."   func main() { p, err := build.Import(pkgPath, ".", build.FindOnly) if err != nil { log.Fatal(err) } d := filepath.Join(p.Dir, "dict/cmudict-IPA.txt") dict, err := gospeech.LoadDictionary(d) if err != nil { log.Fatal(err) } phonetics := dict.TranslateToIPA(input) synthesized := gospeech.DefaultVoice.Synthesize(phonetics) wav.WriteFile(synthesized, "output.wav") }
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#Groovy
Groovy
'say "This is an example of speech synthesis."'.execute()
http://rosettacode.org/wiki/Square_but_not_cube
Square but not cube
Task Show the first   30   positive integers which are squares but not cubes of such integers. Optionally, show also the first   3   positive integers which are both squares and cubes,   and mark them as such.
#Common_Lisp
Common Lisp
(defun cubep (n) (loop for i from 1 for c = (* i i i) while (<= c n) when (= c n) do (return t) finally (return nil)))   (defparameter squares (let ((n 0)) (lambda () (incf n) (* n n))))   (destructuring-bind (noncubes cubes) (loop for s = (funcall squares) then (funcall squares) while (< (length noncubes) 30) if (cubep s) collect s into cubes if (not (cubep s)) collect s into noncubes finally (return (list noncubes cubes))) (format t "Squares but not cubes:~%~A~%~%" noncubes) (format t "Both squares and cubes:~%~A~%~%" cubes))
http://rosettacode.org/wiki/Statistics/Basic
Statistics/Basic
Statistics is all about large groups of numbers. When talking about a set of sampled data, most frequently used is their mean value and standard deviation (stddev). If you have set of data x i {\displaystyle x_{i}} where i = 1 , 2 , … , n {\displaystyle i=1,2,\ldots ,n\,\!} , the mean is x ¯ ≡ 1 n ∑ i x i {\displaystyle {\bar {x}}\equiv {1 \over n}\sum _{i}x_{i}} , while the stddev is σ ≡ 1 n ∑ i ( x i − x ¯ ) 2 {\displaystyle \sigma \equiv {\sqrt {{1 \over n}\sum _{i}\left(x_{i}-{\bar {x}}\right)^{2}}}} . When examining a large quantity of data, one often uses a histogram, which shows the counts of data samples falling into a prechosen set of intervals (or bins). When plotted, often as bar graphs, it visually indicates how often each data value occurs. Task Using your language's random number routine, generate real numbers in the range of [0, 1]. It doesn't matter if you chose to use open or closed range. Create 100 of such numbers (i.e. sample size 100) and calculate their mean and stddev. Do so for sample size of 1,000 and 10,000, maybe even higher if you feel like. Show a histogram of any of these sets. Do you notice some patterns about the standard deviation? Extra Sometimes so much data need to be processed that it's impossible to keep all of them at once. Can you calculate the mean, stddev and histogram of a trillion numbers? (You don't really need to do a trillion numbers, just show how it can be done.) Hint For a finite population with equal probabilities at all points, one can derive: ( x − x ¯ ) 2 ¯ = x 2 ¯ − x ¯ 2 {\displaystyle {\overline {(x-{\overline {x}})^{2}}}={\overline {x^{2}}}-{\overline {x}}^{2}} Or, more verbosely: 1 N ∑ i = 1 N ( x i − x ¯ ) 2 = 1 N ( ∑ i = 1 N x i 2 ) − x ¯ 2 . {\displaystyle {\frac {1}{N}}\sum _{i=1}^{N}(x_{i}-{\overline {x}})^{2}={\frac {1}{N}}\left(\sum _{i=1}^{N}x_{i}^{2}\right)-{\overline {x}}^{2}.} See also Statistics/Normal distribution Tasks for calculating statistical measures in one go moving (sliding window) moving (cumulative) Mean Arithmetic Statistics/Basic Averages/Arithmetic mean Averages/Pythagorean means Averages/Simple moving average Geometric Averages/Pythagorean means Harmonic Averages/Pythagorean means Quadratic Averages/Root mean square Circular Averages/Mean angle Averages/Mean time of day Median Averages/Median Mode Averages/Mode Standard deviation Statistics/Basic Cumulative standard deviation
#Lasso
Lasso
define stat1(a) => { if(#a->size) => { local(mean = (with n in #a sum #n) / #a->size) local(sdev = math_pow(((with n in #a sum Math_Pow((#n - #mean),2)) / #a->size),0.5)) return (:#sdev, #mean) else return (:0,0) } } define stat2(a) => { if(#a->size) => { local(sx = 0, sxx = 0) with x in #a do => { #sx += #x #sxx += #x*#x } local(sdev = math_pow((#a->size * #sxx - #sx * #sx),0.5) / #a->size) return (:#sdev, #sx / #a->size) else return (:0,0) } } define histogram(a) => { local( out = '\r', h = array(0,0,0,0,0,0,0,0,0,0,0), maxwidth = 50, sc = 0 ) with n in #a do => { #h->get(integer(#n*10)+1) += 1 } local(mx = decimal(with n in #h max #n)) with i in #h do => { #out->append((#sc/10.0)->asString(-precision=1)+': '+('+' * integer(#i / #mx * #maxwidth))+'\r') #sc++ } return #out }   with scale in array(100,1000,10000,100000) do => {^ local(n = array) loop(#scale) => { #n->insert(decimal_random) } local(sdev1,mean1) = stat1(#n) local(sdev2,mean2) = stat2(#n) #scale' numbers:\r' 'Naive method: sd: '+#sdev1+', mean: '+#mean1+'\r' 'Second method: sd: '+#sdev2+', mean: '+#mean2+'\r' histogram(#n) '\r\r' ^}
http://rosettacode.org/wiki/Statistics/Basic
Statistics/Basic
Statistics is all about large groups of numbers. When talking about a set of sampled data, most frequently used is their mean value and standard deviation (stddev). If you have set of data x i {\displaystyle x_{i}} where i = 1 , 2 , … , n {\displaystyle i=1,2,\ldots ,n\,\!} , the mean is x ¯ ≡ 1 n ∑ i x i {\displaystyle {\bar {x}}\equiv {1 \over n}\sum _{i}x_{i}} , while the stddev is σ ≡ 1 n ∑ i ( x i − x ¯ ) 2 {\displaystyle \sigma \equiv {\sqrt {{1 \over n}\sum _{i}\left(x_{i}-{\bar {x}}\right)^{2}}}} . When examining a large quantity of data, one often uses a histogram, which shows the counts of data samples falling into a prechosen set of intervals (or bins). When plotted, often as bar graphs, it visually indicates how often each data value occurs. Task Using your language's random number routine, generate real numbers in the range of [0, 1]. It doesn't matter if you chose to use open or closed range. Create 100 of such numbers (i.e. sample size 100) and calculate their mean and stddev. Do so for sample size of 1,000 and 10,000, maybe even higher if you feel like. Show a histogram of any of these sets. Do you notice some patterns about the standard deviation? Extra Sometimes so much data need to be processed that it's impossible to keep all of them at once. Can you calculate the mean, stddev and histogram of a trillion numbers? (You don't really need to do a trillion numbers, just show how it can be done.) Hint For a finite population with equal probabilities at all points, one can derive: ( x − x ¯ ) 2 ¯ = x 2 ¯ − x ¯ 2 {\displaystyle {\overline {(x-{\overline {x}})^{2}}}={\overline {x^{2}}}-{\overline {x}}^{2}} Or, more verbosely: 1 N ∑ i = 1 N ( x i − x ¯ ) 2 = 1 N ( ∑ i = 1 N x i 2 ) − x ¯ 2 . {\displaystyle {\frac {1}{N}}\sum _{i=1}^{N}(x_{i}-{\overline {x}})^{2}={\frac {1}{N}}\left(\sum _{i=1}^{N}x_{i}^{2}\right)-{\overline {x}}^{2}.} See also Statistics/Normal distribution Tasks for calculating statistical measures in one go moving (sliding window) moving (cumulative) Mean Arithmetic Statistics/Basic Averages/Arithmetic mean Averages/Pythagorean means Averages/Simple moving average Geometric Averages/Pythagorean means Harmonic Averages/Pythagorean means Quadratic Averages/Root mean square Circular Averages/Mean angle Averages/Mean time of day Median Averages/Median Mode Averages/Mode Standard deviation Statistics/Basic Cumulative standard deviation
#Liberty_BASIC
Liberty BASIC
  call sample 100 call sample 1000 call sample 10000   end   sub sample n dim dat( n) for i =1 to n dat( i) =rnd( 1) next i   '// show mean, standard deviation sum =0 sSq =0 for i =1 to n sum =sum +dat( i) sSq =sSq +dat( i)^2 next i print n; " data terms used."   mean =sum / n print "Mean ="; mean   print "Stddev ="; ( sSq /n -mean^2)^0.5   '// show histogram nBins =10 dim bins( nBins) for i =1 to n z =int( nBins *dat( i)) bins( z) =bins( z) +1 next i for b =0 to nBins -1 for j =1 to int( nBins *bins( b)) /n *70) print "#"; next j print next b print end sub  
http://rosettacode.org/wiki/Square-free_integers
Square-free integers
Task Write a function to test if a number is   square-free. A   square-free   is an integer which is divisible by no perfect square other than   1   (unity). For this task, only positive square-free numbers will be used. Show here (on this page) all square-free integers (in a horizontal format) that are between:   1   ───►   145     (inclusive)   1 trillion   ───►   1 trillion + 145     (inclusive) (One trillion = 1,000,000,000,000) Show here (on this page) the count of square-free integers from:   1   ───►   one hundred     (inclusive)   1   ───►   one thousand     (inclusive)   1   ───►   ten thousand     (inclusive)   1   ───►   one hundred thousand     (inclusive)   1   ───►   one million     (inclusive) See also   the Wikipedia entry:   square-free integer
#Racket
Racket
#lang racket   (define (not-square-free-set-for-range range-min (range-max (add1 range-min))) (for*/set ((i2 (sequence-map sqr (in-range 2 (add1 (integer-sqrt range-max))))) (i2.x (in-range (* i2 (quotient range-min i2)) (* i2 (add1 (quotient range-max i2))) i2)) #:when (and (<= range-min i2.x) (< i2.x range-max))) i2.x))   (define (square-free? n #:table (table (not-square-free-set-for-range n))) (not (set-member? table n)))   (define (count-square-free-numbers #:range-min (range-min 1) range-max) (- range-max range-min (set-count (not-square-free-set-for-range range-min range-max))))   (define ((print-list-to-width w) l) (let loop ((l l) (x 0)) (if (null? l) (unless (zero? x) (newline)) (let* ((str (~a (car l))) (len (string-length str))) (cond [(<= (+ len x) w) (display str) (write-char #\space) (loop (cdr l) (+ x len 1))] [(zero? x) (displayln str) (loop (cdr l) 0)] [else (newline) (loop l 0)])))))     (define print-list-to-80 (print-list-to-width 80))   (module+ main (print-list-to-80 (for/list ((n (in-range 1 (add1 145))) #:when (square-free? n)) n))   (print-list-to-80 (time (let ((table (not-square-free-set-for-range #e1e12 (add1 (+ #e1e12 145))))) (for/list ((n (in-range #e1e12 (add1 (+ #e1e12 145)))) #:when (square-free? n #:table table)) n)))) (displayln "Compare time taken without the table (rather with table on the fly):") (void (time (for/list ((n (in-range #e1e12 (add1 (+ #e1e12 145)))) #:when (square-free? n)) n)))   (count-square-free-numbers 100) (count-square-free-numbers 1000) (count-square-free-numbers 10000) (count-square-free-numbers 100000) (count-square-free-numbers 1000000))
http://rosettacode.org/wiki/Square-free_integers
Square-free integers
Task Write a function to test if a number is   square-free. A   square-free   is an integer which is divisible by no perfect square other than   1   (unity). For this task, only positive square-free numbers will be used. Show here (on this page) all square-free integers (in a horizontal format) that are between:   1   ───►   145     (inclusive)   1 trillion   ───►   1 trillion + 145     (inclusive) (One trillion = 1,000,000,000,000) Show here (on this page) the count of square-free integers from:   1   ───►   one hundred     (inclusive)   1   ───►   one thousand     (inclusive)   1   ───►   ten thousand     (inclusive)   1   ───►   one hundred thousand     (inclusive)   1   ───►   one million     (inclusive) See also   the Wikipedia entry:   square-free integer
#Raku
Raku
# Prime factorization routines sub prime-factors ( Int $n where * > 0 ) { return $n if $n.is-prime; return [] if $n == 1; my $factor = find-factor( $n ); flat prime-factors( $factor ), prime-factors( $n div $factor ); }   sub find-factor ( Int $n, $constant = 1 ) { return 2 unless $n +& 1; if (my $gcd = $n gcd 6541380665835015) > 1 { return $gcd if $gcd != $n } my $x = 2; my $rho = 1; my $factor = 1; while $factor == 1 { $rho *= 2; my $fixed = $x; for ^$rho { $x = ( $x * $x + $constant ) % $n; $factor = ( $x - $fixed ) gcd $n; last if 1 < $factor; } } $factor = find-factor( $n, $constant + 1 ) if $n == $factor; $factor; }   # Task routine sub is-square-free (Int $n) { my @v = $n.&prime-factors.Bag.values; @v.sum/@v <= 1 }   # The Task # Parts 1 & 2 for 1, 145, 1e12.Int, 145+1e12.Int -> $start, $end { say "\nSquare─free numbers between $start and $end:\n", ($start .. $end).hyper(:4batch).grep( &is-square-free ).list.fmt("%3d").comb(84).join("\n"); }   # Part 3 for 1e2, 1e3, 1e4, 1e5, 1e6 { say "\nThe number of square─free numbers between 1 and {$_} (inclusive) is: ", +(1 .. .Int).race.grep: &is-square-free; }
http://rosettacode.org/wiki/Stem-and-leaf_plot
Stem-and-leaf plot
Create a well-formatted stem-and-leaf plot from the following data set, where the leaves are the last digits: 12 127 28 42 39 113 42 18 44 118 44 37 113 124 37 48 127 36 29 31 125 139 131 115 105 132 104 123 35 113 122 42 117 119 58 109 23 105 63 27 44 105 99 41 128 121 116 125 32 61 37 127 29 113 121 58 114 126 53 114 96 25 109 7 31 141 46 13 27 43 117 116 27 7 68 40 31 115 124 42 128 52 71 118 117 38 27 106 33 117 116 111 40 119 47 105 57 122 109 124 115 43 120 43 27 27 18 28 48 125 107 114 34 133 45 120 30 127 31 116 146 The primary intent of this task is the presentation of information. It is acceptable to hardcode the data set or characteristics of it (such as what the stems are) in the example, insofar as it is impractical to make the example generic to any data set. For example, in a computation-less language like HTML the data set may be entirely prearranged within the example; the interesting characteristics are how the proper visual formatting is arranged. If possible, the output should not be a bitmap image. Monospaced plain text is acceptable, but do better if you can. It may be a window, i.e. not a file. Note: If you wish to try multiple data sets, you might try this generator.
#Python
Python
from collections import namedtuple from pprint import pprint as pp from math import floor   Stem = namedtuple('Stem', 'data, leafdigits')   data0 = Stem((12, 127, 28, 42, 39, 113, 42, 18, 44, 118, 44, 37, 113, 124, 37, 48, 127, 36, 29, 31, 125, 139, 131, 115, 105, 132, 104, 123, 35, 113, 122, 42, 117, 119, 58, 109, 23, 105, 63, 27, 44, 105, 99, 41, 128, 121, 116, 125, 32, 61, 37, 127, 29, 113, 121, 58, 114, 126, 53, 114, 96, 25, 109, 7, 31, 141, 46, 13, 27, 43, 117, 116, 27, 7, 68, 40, 31, 115, 124, 42, 128, 52, 71, 118, 117, 38, 27, 106, 33, 117, 116, 111, 40, 119, 47, 105, 57, 122, 109, 124, 115, 43, 120, 43, 27, 27, 18, 28, 48, 125, 107, 114, 34, 133, 45, 120, 30, 127, 31, 116, 146), 1.0)   def stemplot(stem): d = [] interval = int(10**int(stem.leafdigits)) for data in sorted(stem.data): data = int(floor(data)) stm, lf = divmod(data,interval) d.append( (int(stm), int(lf)) ) stems, leafs = list(zip(*d)) stemwidth = max(len(str(x)) for x in stems) leafwidth = max(len(str(x)) for x in leafs) laststem, out = min(stems) - 1, [] for s,l in d: while laststem < s: laststem += 1 out.append('\n%*i |' % ( stemwidth, laststem)) out.append(' %0*i' % (leafwidth, l)) out.append('\n\nKey:\n Stem multiplier: %i\n X | Y =>  %i*X+Y\n'  % (interval, interval)) return ''.join(out)   if __name__ == '__main__': print( stemplot(data0) )
http://rosettacode.org/wiki/Split_a_character_string_based_on_change_of_character
Split a character string based on change of character
Task Split a (character) string into comma (plus a blank) delimited strings based on a change of character   (left to right). Show the output here   (use the 1st example below). Blanks should be treated as any other character   (except they are problematic to display clearly).   The same applies to commas. For instance, the string: gHHH5YY++///\ should be split and show: g, HHH, 5, YY, ++, ///, \ Other tasks related to string operations: Metrics Array length String length Copy a string Empty string  (assignment) Counting Word frequency Letter frequency Jewels and stones I before E except after C Bioinformatics/base count Count occurrences of a substring Count how many vowels and consonants occur in a string Remove/replace XXXX redacted Conjugate a Latin verb Remove vowels from a string String interpolation (included) Strip block comments Strip comments from a string Strip a set of characters from a string Strip whitespace from a string -- top and tail Strip control codes and extended characters from a string Anagrams/Derangements/shuffling Word wheel ABC problem Sattolo cycle Knuth shuffle Ordered words Superpermutation minimisation Textonyms (using a phone text pad) Anagrams Anagrams/Deranged anagrams Permutations/Derangements Find/Search/Determine ABC words Odd words Word ladder Semordnilap Word search Wordiff  (game) String matching Tea cup rim text Alternade words Changeable words State name puzzle String comparison Unique characters Unique characters in each string Extract file extension Levenshtein distance Palindrome detection Common list elements Longest common suffix Longest common prefix Compare a list of strings Longest common substring Find common directory path Words from neighbour ones Change e letters to i in words Non-continuous subsequences Longest common subsequence Longest palindromic substrings Longest increasing subsequence Words containing "the" substring Sum of the digits of n is substring of n Determine if a string is numeric Determine if a string is collapsible Determine if a string is squeezable Determine if a string has all unique characters Determine if a string has all the same characters Longest substrings without repeating characters Find words which contains all the vowels Find words which contains most consonants Find words which contains more than 3 vowels Find words which first and last three letters are equals Find words which odd letters are consonants and even letters are vowels or vice_versa Formatting Substring Rep-string Word wrap String case Align columns Literals/String Repeat a string Brace expansion Brace expansion using ranges Reverse a string Phrase reversals Comma quibbling Special characters String concatenation Substring/Top and tail Commatizing numbers Reverse words in a string Suffixation of decimal numbers Long literals, with continuations Numerical and alphabetical suffixes Abbreviations, easy Abbreviations, simple Abbreviations, automatic Song lyrics/poems/Mad Libs/phrases Mad Libs Magic 8-ball 99 Bottles of Beer The Name Game (a song) The Old lady swallowed a fly The Twelve Days of Christmas Tokenize Text between Tokenize a string Word break problem Tokenize a string with escaping Split a character string based on change of character Sequences Show ASCII table De Bruijn sequences Self-referential sequences Generate lower case ASCII alphabet
#AWK
AWK
  # syntax: GAWK -f SPLIT_A_CHARACTER_STRING_BASED_ON_CHANGE_OF_CHARACTER.AWK BEGIN { str = "gHHH5YY++///\\" printf("old: %s\n",str) printf("new: %s\n",split_on_change(str)) exit(0) } function split_on_change(str, c,i,new_str) { new_str = substr(str,1,1) for (i=2; i<=length(str); i++) { c = substr(str,i,1) if (substr(str,i-1,1) != c) { new_str = new_str ", " } new_str = new_str c } return(new_str) }  
http://rosettacode.org/wiki/Split_a_character_string_based_on_change_of_character
Split a character string based on change of character
Task Split a (character) string into comma (plus a blank) delimited strings based on a change of character   (left to right). Show the output here   (use the 1st example below). Blanks should be treated as any other character   (except they are problematic to display clearly).   The same applies to commas. For instance, the string: gHHH5YY++///\ should be split and show: g, HHH, 5, YY, ++, ///, \ Other tasks related to string operations: Metrics Array length String length Copy a string Empty string  (assignment) Counting Word frequency Letter frequency Jewels and stones I before E except after C Bioinformatics/base count Count occurrences of a substring Count how many vowels and consonants occur in a string Remove/replace XXXX redacted Conjugate a Latin verb Remove vowels from a string String interpolation (included) Strip block comments Strip comments from a string Strip a set of characters from a string Strip whitespace from a string -- top and tail Strip control codes and extended characters from a string Anagrams/Derangements/shuffling Word wheel ABC problem Sattolo cycle Knuth shuffle Ordered words Superpermutation minimisation Textonyms (using a phone text pad) Anagrams Anagrams/Deranged anagrams Permutations/Derangements Find/Search/Determine ABC words Odd words Word ladder Semordnilap Word search Wordiff  (game) String matching Tea cup rim text Alternade words Changeable words State name puzzle String comparison Unique characters Unique characters in each string Extract file extension Levenshtein distance Palindrome detection Common list elements Longest common suffix Longest common prefix Compare a list of strings Longest common substring Find common directory path Words from neighbour ones Change e letters to i in words Non-continuous subsequences Longest common subsequence Longest palindromic substrings Longest increasing subsequence Words containing "the" substring Sum of the digits of n is substring of n Determine if a string is numeric Determine if a string is collapsible Determine if a string is squeezable Determine if a string has all unique characters Determine if a string has all the same characters Longest substrings without repeating characters Find words which contains all the vowels Find words which contains most consonants Find words which contains more than 3 vowels Find words which first and last three letters are equals Find words which odd letters are consonants and even letters are vowels or vice_versa Formatting Substring Rep-string Word wrap String case Align columns Literals/String Repeat a string Brace expansion Brace expansion using ranges Reverse a string Phrase reversals Comma quibbling Special characters String concatenation Substring/Top and tail Commatizing numbers Reverse words in a string Suffixation of decimal numbers Long literals, with continuations Numerical and alphabetical suffixes Abbreviations, easy Abbreviations, simple Abbreviations, automatic Song lyrics/poems/Mad Libs/phrases Mad Libs Magic 8-ball 99 Bottles of Beer The Name Game (a song) The Old lady swallowed a fly The Twelve Days of Christmas Tokenize Text between Tokenize a string Word break problem Tokenize a string with escaping Split a character string based on change of character Sequences Show ASCII table De Bruijn sequences Self-referential sequences Generate lower case ASCII alphabet
#BaCon
BaCon
txt$ = "gHHH5YY++///\\"   c$ = LEFT$(txt$, 1)   FOR x = 1 TO LEN(txt$) d$ = MID$(txt$, x, 1) IF d$ <> c$ THEN PRINT ", "; c$ = d$ END IF PRINT d$; NEXT
http://rosettacode.org/wiki/Stern-Brocot_sequence
Stern-Brocot sequence
For this task, the Stern-Brocot sequence is to be generated by an algorithm similar to that employed in generating the Fibonacci sequence. The first and second members of the sequence are both 1:     1, 1 Start by considering the second member of the sequence Sum the considered member of the sequence and its precedent, (1 + 1) = 2, and append it to the end of the sequence:     1, 1, 2 Append the considered member of the sequence to the end of the sequence:     1, 1, 2, 1 Consider the next member of the series, (the third member i.e. 2) GOTO 3         ─── Expanding another loop we get: ─── Sum the considered member of the sequence and its precedent, (2 + 1) = 3, and append it to the end of the sequence:     1, 1, 2, 1, 3 Append the considered member of the sequence to the end of the sequence:     1, 1, 2, 1, 3, 2 Consider the next member of the series, (the fourth member i.e. 1) The task is to Create a function/method/subroutine/procedure/... to generate the Stern-Brocot sequence of integers using the method outlined above. Show the first fifteen members of the sequence. (This should be: 1, 1, 2, 1, 3, 2, 3, 1, 4, 3, 5, 2, 5, 3, 4) Show the (1-based) index of where the numbers 1-to-10 first appears in the sequence. Show the (1-based) index of where the number 100 first appears in the sequence. Check that the greatest common divisor of all the two consecutive members of the series up to the 1000th member, is always one. Show your output on this page. Related tasks   Fusc sequence.   Continued fraction/Arithmetic Ref Infinite Fractions - Numberphile (Video). Trees, Teeth, and Time: The mathematics of clock making. A002487 The On-Line Encyclopedia of Integer Sequences.
#Pascal
Pascal
program StrnBrCt; {$IFDEF FPC} {$MODE DELPHI} {$ENDIF} const MaxCnt = 10835282;{ seq[i] < 65536 = high(Word) } //MaxCnt = 500*1000*1000;{ 2Gbyte -> real 0.85 s user 0.31 } type tSeqdata = word;//cardinal LongWord pSeqdata = pWord;//pcardinal pLongWord tseq = array of tSeqdata;   function SternBrocotCreate(size:NativeInt):tseq; var pSeq,pIns : pSeqdata; PosIns : NativeInt; sum : tSeqdata; Begin setlength(result,Size+1); dec(Size); //== High(result) pIns := @result[size];// set at end PosIns := -size+2; // negative index campare to 0 pSeq := @result[0];   sum := 1; pSeq[0]:= sum;pSeq[1]:= sum; repeat pIns[PosIns+1] := sum;//append copy of considered inc(sum,pSeq[0]); pIns[PosIns ] := sum; inc(pSeq); inc(PosIns,2);sum := pSeq[1];//aka considered until PosIns>= 0; setlength(result,length(result)-1); end;   function FindIndex(const s:tSeq;value:tSeqdata):NativeInt; Begin result := 0; while result <= High(s) do Begin if s[result] = value then EXIT(result+1); inc(result); end; end;   function gcd_iterative(u, v: NativeInt): NativeInt; //http://rosettacode.org/wiki/Greatest_common_divisor#Pascal_.2F_Delphi_.2F_Free_Pascal var t: NativeInt; begin while v <> 0 do begin t := u;u := v;v := t mod v; end; gcd_iterative := abs(u); end;   var seq : tSeq; i : nativeInt; Begin seq:= SternBrocotCreate(MaxCnt); // Show the first fifteen members of the sequence. For i := 0 to 13 do write(seq[i],',');writeln(seq[14]); //Show the (1-based) index of where the numbers 1-to-10 first appears in the For i := 1 to 10 do write(i,' @ ',FindIndex(seq,i),','); writeln(#8#32); //Show the (1-based) index of where the number 100 first appears in the sequence. writeln(100,' @ ',FindIndex(seq,100)); //Check that the greatest common divisor of all the two consecutive members of the series up to the 1000th member, is always one. i := 999; if i > High(seq) then i := High(seq); Repeat IF gcd_iterative(seq[i],seq[i+1]) <>1 then Begin writeln(' failure at ',i+1,' ',seq[i],' ',seq[i+1]); BREAK; end; dec(i); until i <0; IF i< 0 then writeln('GCD-test is O.K.'); setlength(seq,0); end.
http://rosettacode.org/wiki/Spinning_rod_animation/Text
Spinning rod animation/Text
Task An animation with the following frames in the following order (if certain characters aren't available or can't be used correctly in the programming language, alternate characters can replace any of these frames) must animate with a delay of 0.25 seconds between each frame, with the previous frame being cleared before the next frame appears:   |   /   - or ─   \ A stand-alone version that loops and/or a version that doesn't loop can be made. These examples can also be converted into a system used in game development which is called on a HUD or GUI element requiring it to be called each frame to output the text, and advance the frame when the frame delay has passed. You can also use alternate text such as the . animation ( . | .. | ... | .. | repeat from . ) or the logic can be updated to include a ping/pong style where the frames advance forward, reach the end and then play backwards and when they reach the beginning they start over ( technically, you'd stop one frame prior to prevent the first frame playing twice, or write it another way ). There are many different ways you can incorporate text animations. Here are a few text ideas - each frame is in quotes. If you can think of any, add them to this page! There are 2 examples for several of these; the first is the base animation with only unique sets of characters. The second consists of the primary set from a - n and doubled, minus the first and last element ie: We only want the center. This way an animation can play forwards, and then in reverse ( ping ponging ) without having to code that feature. For the animations with 3 elements, we only add 1, the center. with 4, it becomes 6. with 10, it becomes 18. We don't need the second option for some of the animations if they connect smoothly, when animated, back to the first element. ... doesn't connect with . cleanly - there is a large leap. The rotating pipe meets the first perfectly so it isn't necessary, etc..   Dots - Option A requires ping / pong enabled script. Option B just adds the elements in the center.   '.', '..', '...'   '.', '..', '...', '..'   Pipe - This has the uniform sideways pipe instead of a hyphen to prevent non-uniform sizing.   '|', '/', '─', '\'   Stars - Option A requires ping / pong enabled script. Option B just adds the elements from the center.   '⁎', '⁑', '⁂'   '⁎', '⁑', '⁂', '⁑'   Clock - These need to be ordered. I haven't done this yet as the application I was testing the system in doesn't support these wingdings / icons. But this would look quite nice and you could set it up to go forward, or backward during an undo process, etc..   '🕛', '🕧', '🕐', '🕜', '🕑', '🕝', '🕒', '🕞', '🕓', '🕟', '🕔', '🕠', '🕕', '🕖', '🕗', '🕘', '🕙', '🕚', '🕡', '🕢', '🕣', '🕤', '🕥', '🕦'   Arrows:   '⬍', '⬈', '➞', '⬊', '⬍', '⬋', '⬅', '⬉'   Bird - This looks decent but may be missing something.   '︷', '︵', '︹', '︺', '︶', '︸'   '︷', '︵', '︹', '︺', '︶', '︸', '︶', '︺', '︹', '︵'   Plants - This isn't quite complete   '☘', '❀', '❁'   '☘', '❀', '❁', '❀'   Eclipse - From Raku Throbber post author   '🌑', '🌒', '🌓', '🌔', '🌕', '🌖', '🌗', '🌘'
#ALGOL_68
ALGOL 68
FOR i TO 1 000 DO # increase/decrease the TO value for a longer/shorter animation # FOR d TO 2 000 000 DO SKIP OD; # adjust to change the spin rate # print( ( CASE 1 + i MOD 4 IN "/", "-", "\", "|" ESAC, REPR 8 ) ) OD
http://rosettacode.org/wiki/Stack
Stack
Data Structure This illustrates a data structure, a means of storing data within a program. You may see other such structures in the Data Structures category. A stack is a container of elements with   last in, first out   access policy.   Sometimes it also called LIFO. The stack is accessed through its top. The basic stack operations are:   push   stores a new element onto the stack top;   pop   returns the last pushed stack element, while removing it from the stack;   empty   tests if the stack contains no elements. Sometimes the last pushed stack element is made accessible for immutable access (for read) or mutable access (for write):   top   (sometimes called peek to keep with the p theme) returns the topmost element without modifying the stack. Stacks allow a very simple hardware implementation. They are common in almost all processors. In programming, stacks are also very popular for their way (LIFO) of resource management, usually memory. Nested scopes of language objects are naturally implemented by a stack (sometimes by multiple stacks). This is a classical way to implement local variables of a re-entrant or recursive subprogram. Stacks are also used to describe a formal computational framework. See stack machine. Many algorithms in pattern matching, compiler construction (e.g. recursive descent parsers), and machine learning (e.g. based on tree traversal) have a natural representation in terms of stacks. Task Create a stack supporting the basic operations: push, pop, empty. See also Array Associative array: Creation, Iteration Collections Compound data type Doubly-linked list: Definition, Element definition, Element insertion, List Traversal, Element Removal Linked list Queue: Definition, Usage Set Singly-linked list: Element definition, Element insertion, List Traversal, Element Removal Stack
#AWK
AWK
function deque(arr) { arr["start"] = 0 arr["end"] = 0 }   function dequelen(arr) { return arr["end"] - arr["start"] }   function empty(arr) { return dequelen(arr) == 0 }   function push(arr, elem) { arr[++arr["end"]] = elem }   function pop(arr) { if (empty(arr)) { return } return arr[arr["end"]--] }   function unshift(arr, elem) { arr[arr["start"]--] = elem }   function shift(arr) { if (empty(arr)) { return } return arr[++arr["start"]] }   function peek(arr) { if (empty(arr)) { return } return arr[arr["end"]] }   function printdeque(arr, i, sep) { printf("[") for (i = arr["start"] + 1; i <= arr["end"]; i++) { printf("%s%s", sep, arr[i]) sep = ", " } printf("]\n") }   BEGIN { deque(q) for (i = 1; i <= 10; i++) { push(q, i) } printdeque(q) for (i = 1; i <= 10; i++) { print pop(q) } printdeque(q) }
http://rosettacode.org/wiki/SQL-based_authentication
SQL-based authentication
This task has three parts: Connect to a MySQL database (connect_db) Create user/password records in the following table (create_user) Authenticate login requests against the table (authenticate_user) This is the table definition: CREATE TABLE users ( userid INT PRIMARY KEY AUTO_INCREMENT, username VARCHAR(32) UNIQUE KEY NOT NULL, pass_salt tinyblob NOT NULL, -- a string of 16 random bytes pass_md5 tinyblob NOT NULL -- binary MD5 hash of pass_salt concatenated with the password ); (pass_salt and pass_md5 would be binary(16) values, but MySQL versions before 5.0.15 strip trailing spaces when selecting them.)
#Wren
Wren
import "./sql" for Sql, Connection import "./crypto" for Md5   var addUser = Fn.new { |db, name, pw| var sql = "INSERT OR IGNORE INTO users (username,pass_salt,pass_md5) VALUES(?, ?, ?)" var stmt = db.prepare(sql) var salt = Sql.randomness(16) var md5s = Md5.digest(salt + pw) stmt.bindText(1, name) stmt.bindText(2, salt) stmt.bindText(3, md5s) stmt.step() }   var authenticateUser = Fn.new { |db, name, pw| var sql = "SELECT pass_salt, pass_md5 FROM users WHERE username = ?" var stmt = db.prepare(sql) stmt.bindText(1, name) var res = stmt.step() if (res != Sql.row) { res = false // no such user } else { var salt = stmt.columnText(0) var passMd5 = stmt.columnText(1) res = passMd5 == Md5.digest(salt + pw) } return res }   var createSql = """ DROP TABLE IF EXISTS users; CREATE TABLE users( userid INTEGER PRIMARY KEY AUTOINCREMENT, username VARCHAR(32) UNIQUE NOT NULL, pass_salt tinyblob NOT NULL, pass_md5 tinyblob NOT NULL); """ var db = Connection.open("users.db") var res = db.exec(createSql) if (res != Sql.ok) Fiber.abort("Error creating users table.") addUser.call(db, "user", "password") System.print("User with correct password: %(authenticateUser.call(db, "user", "password"))") System.print("User with incorrect password: %(authenticateUser.call(db, "user", "wrong"))")
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#Haskell
Haskell
  import System.Process (callProcess) -- From “process” library   say text = callProcess "espeak" ["--", text]   main = say "This is an example of speech synthesis."  
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#JavaScript
JavaScript
  var utterance = new SpeechSynthesisUtterance("This is an example of speech synthesis."); window.speechSynthesis.speak(utterance);  
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#Julia
Julia
  julia> a = "hello world" "hello world"   julia> run(`espeak $a`)  
http://rosettacode.org/wiki/Square_but_not_cube
Square but not cube
Task Show the first   30   positive integers which are squares but not cubes of such integers. Optionally, show also the first   3   positive integers which are both squares and cubes,   and mark them as such.
#Cowgol
Cowgol
include "cowgol.coh";   var cube: uint16 := 1; var ncube: uint16 := 1; var sqr: uint16 := 1; var nsqr: uint16 := 1;   var seen: uint8 := 0; while seen < 30 loop sqr := nsqr * nsqr; while sqr > cube loop ncube := ncube + 1; cube := ncube * ncube * ncube; end loop; if sqr != cube then seen := seen + 1; print_i16(sqr); print_char(' '); end if; nsqr := nsqr + 1; end loop; print_nl();
http://rosettacode.org/wiki/Square_but_not_cube
Square but not cube
Task Show the first   30   positive integers which are squares but not cubes of such integers. Optionally, show also the first   3   positive integers which are both squares and cubes,   and mark them as such.
#D
D
import std.algorithm; import std.range; import std.stdio;   auto squareGen() { struct Gen { private int add = 3; private int curr = 1;   bool empty() { return curr < 0; }   auto front() { return curr; }   void popFront() { curr += add; add += 2; } }   return Gen(); }   auto cubeGen() { struct Gen { private int add1 = 7; private int add2 = 12; private int curr = 1;   bool empty() { return curr < 0; }   auto front() { return curr; }   void popFront() { curr += add1; add1 += add2; add2 += 6; } }   return Gen(); }   auto merge() { struct Gen { private auto sg = squareGen(); private auto cg = cubeGen();   bool empty() { return sg.empty || cg.empty; }   auto front() { import std.typecons; if (sg.front == cg.front) { return tuple!("num", "isCube")(sg.front, true); } else { return tuple!("num", "isCube")(sg.front, false); } }   void popFront() { while (true) { if (sg.front < cg.front) { sg.popFront(); return; } else if (sg.front == cg.front) { sg.popFront(); cg.popFront(); return; } else { cg.popFront(); } } } }   return Gen(); }   void main() { foreach (p; merge.take(33)) { if (p.isCube) { writeln(p.num, " (also cube)"); } else { writeln(p.num); } } }
http://rosettacode.org/wiki/Statistics/Basic
Statistics/Basic
Statistics is all about large groups of numbers. When talking about a set of sampled data, most frequently used is their mean value and standard deviation (stddev). If you have set of data x i {\displaystyle x_{i}} where i = 1 , 2 , … , n {\displaystyle i=1,2,\ldots ,n\,\!} , the mean is x ¯ ≡ 1 n ∑ i x i {\displaystyle {\bar {x}}\equiv {1 \over n}\sum _{i}x_{i}} , while the stddev is σ ≡ 1 n ∑ i ( x i − x ¯ ) 2 {\displaystyle \sigma \equiv {\sqrt {{1 \over n}\sum _{i}\left(x_{i}-{\bar {x}}\right)^{2}}}} . When examining a large quantity of data, one often uses a histogram, which shows the counts of data samples falling into a prechosen set of intervals (or bins). When plotted, often as bar graphs, it visually indicates how often each data value occurs. Task Using your language's random number routine, generate real numbers in the range of [0, 1]. It doesn't matter if you chose to use open or closed range. Create 100 of such numbers (i.e. sample size 100) and calculate their mean and stddev. Do so for sample size of 1,000 and 10,000, maybe even higher if you feel like. Show a histogram of any of these sets. Do you notice some patterns about the standard deviation? Extra Sometimes so much data need to be processed that it's impossible to keep all of them at once. Can you calculate the mean, stddev and histogram of a trillion numbers? (You don't really need to do a trillion numbers, just show how it can be done.) Hint For a finite population with equal probabilities at all points, one can derive: ( x − x ¯ ) 2 ¯ = x 2 ¯ − x ¯ 2 {\displaystyle {\overline {(x-{\overline {x}})^{2}}}={\overline {x^{2}}}-{\overline {x}}^{2}} Or, more verbosely: 1 N ∑ i = 1 N ( x i − x ¯ ) 2 = 1 N ( ∑ i = 1 N x i 2 ) − x ¯ 2 . {\displaystyle {\frac {1}{N}}\sum _{i=1}^{N}(x_{i}-{\overline {x}})^{2}={\frac {1}{N}}\left(\sum _{i=1}^{N}x_{i}^{2}\right)-{\overline {x}}^{2}.} See also Statistics/Normal distribution Tasks for calculating statistical measures in one go moving (sliding window) moving (cumulative) Mean Arithmetic Statistics/Basic Averages/Arithmetic mean Averages/Pythagorean means Averages/Simple moving average Geometric Averages/Pythagorean means Harmonic Averages/Pythagorean means Quadratic Averages/Root mean square Circular Averages/Mean angle Averages/Mean time of day Median Averages/Median Mode Averages/Mode Standard deviation Statistics/Basic Cumulative standard deviation
#Lua
Lua
  math.randomseed(os.time())   function randList (n) -- Build table of size n local numbers = {} for i = 1, n do table.insert(numbers, math.random()) -- range correct by default end return numbers end   function mean (t) -- Find mean average of values in table t local sum = 0 for k, v in pairs(t) do sum = sum + v end return sum / #t end   function stdDev (t) -- Find population standard deviation of table t local squares, avg = 0, mean(t) for k, v in pairs(t) do squares = squares + ((avg - v) ^ 2) end local variance = squares / #t return math.sqrt(variance) end   function showHistogram (t) -- Draw histogram of given table to stdout local histBars, compVal = {} for range = 0, 9 do histBars[range] = 0 for k, v in pairs(t) do compVal = tonumber(string.format("%0.1f", v - 0.05)) if compVal == range / 10 then histBars[range] = histBars[range] + 1 end end end for k, v in pairs(histBars) do io.write("0." .. k .. " " .. string.rep('=', v / #t * 200)) print(" " .. v) end print() end   function showStats (tabSize) -- Create and display statistics info local numList = randList(tabSize) print("Table of size " .. #numList) print("Mean average: " .. mean(numList)) print("Standard dev: " .. stdDev(numList)) showHistogram(numList) end   for power = 2, 5 do -- Start of main procedure showStats(10 ^ power) end  
http://rosettacode.org/wiki/Square-free_integers
Square-free integers
Task Write a function to test if a number is   square-free. A   square-free   is an integer which is divisible by no perfect square other than   1   (unity). For this task, only positive square-free numbers will be used. Show here (on this page) all square-free integers (in a horizontal format) that are between:   1   ───►   145     (inclusive)   1 trillion   ───►   1 trillion + 145     (inclusive) (One trillion = 1,000,000,000,000) Show here (on this page) the count of square-free integers from:   1   ───►   one hundred     (inclusive)   1   ───►   one thousand     (inclusive)   1   ───►   ten thousand     (inclusive)   1   ───►   one hundred thousand     (inclusive)   1   ───►   one million     (inclusive) See also   the Wikipedia entry:   square-free integer
#REXX
REXX
/*REXX program displays square─free numbers (integers > 1) up to a specified limit. */ numeric digits 20 /*be able to handle larger numbers. */ parse arg LO HI . /*obtain optional arguments from the CL*/ if LO=='' | LO=="," then LO= 1 /*Not specified? Then use the default.*/ if HI=='' | HI=="," then HI= 145 /* " " " " " " */ sw= linesize() - 1 /*use one less than a full line. */ # = 0 /*count of square─free numbers found. */ $= /*variable that holds a line of numbers*/ do j=LO to abs(HI) /*process all integers between LO & HI.*/ if \isSquareFree(j) then iterate /*Not square─free? Then skip this #. */ #= # + 1 /*bump the count of square─free numbers*/ if HI<0 then iterate /*Only counting 'em? Then look for more*/ if length($ || j)<sw then $= strip($ j) /*append the number to the output list.*/ else do; say $; $=j; end /*display a line of numbers.*/ end /*j*/   if $\=='' then say $ /*are there any residuals to display ? */ @theNum= 'The number of square─free numbers between ' if HI<0 then say @theNum LO " and " abs(HI) ' (inclusive) is: ' # exit /*stick a fork in it, we're all done. */ /*──────────────────────────────────────────────────────────────────────────────────────*/ isSquareFree: procedure; parse arg x; if x<1 then return 0 /*is the number too small?*/ odd= x//2 /*ODD=1 if X is odd, ODD=0 if even.*/ do k=2+odd to iSqrt(x) by 1+odd /*use all numbers, or just odds*/ if x // k**2 == 0 then return 0 /*Is X divisible by a square?*/ end /*k*/ /* [↑] Yes? Then ¬ square─free*/ return 1 /* [↑] // is REXX's ÷ remainder.*/ /*──────────────────────────────────────────────────────────────────────────────────────*/ iSqrt: procedure; parse arg x; q= 1; do while q<=x; q= q * 4 end /*while q<=x*/ r= 0 do while q>1; q= q % 4; _= x - r - q; r= r % 2 if _>=0 then do; x= _; r= r + q; end end /*while q>1*/ return r /*R is the integer square root of X. */
http://rosettacode.org/wiki/Stem-and-leaf_plot
Stem-and-leaf plot
Create a well-formatted stem-and-leaf plot from the following data set, where the leaves are the last digits: 12 127 28 42 39 113 42 18 44 118 44 37 113 124 37 48 127 36 29 31 125 139 131 115 105 132 104 123 35 113 122 42 117 119 58 109 23 105 63 27 44 105 99 41 128 121 116 125 32 61 37 127 29 113 121 58 114 126 53 114 96 25 109 7 31 141 46 13 27 43 117 116 27 7 68 40 31 115 124 42 128 52 71 118 117 38 27 106 33 117 116 111 40 119 47 105 57 122 109 124 115 43 120 43 27 27 18 28 48 125 107 114 34 133 45 120 30 127 31 116 146 The primary intent of this task is the presentation of information. It is acceptable to hardcode the data set or characteristics of it (such as what the stems are) in the example, insofar as it is impractical to make the example generic to any data set. For example, in a computation-less language like HTML the data set may be entirely prearranged within the example; the interesting characteristics are how the proper visual formatting is arranged. If possible, the output should not be a bitmap image. Monospaced plain text is acceptable, but do better if you can. It may be a window, i.e. not a file. Note: If you wish to try multiple data sets, you might try this generator.
#R
R
  x <- c(12, 127, 28, 42, 39, 113, 42, 18, 44, 118, 44, 37, 113, 124, 37, 48, 127, 36, 29, 31, 125, 139, 131, 115, 105, 132, 104, 123, 35, 113, 122, 42, 117, 119, 58, 109, 23, 105, 63, 27, 44, 105, 99, 41, 128, 121, 116, 125, 32, 61, 37, 127, 29, 113, 121, 58, 114, 126, 53, 114, 96, 25, 109, 7, 31, 141, 46, 13, 27, 43, 117, 116, 27, 7, 68, 40, 31, 115, 124, 42, 128, 52, 71, 118, 117, 38, 27, 106, 33, 117, 116, 111, 40, 119, 47, 105, 57, 122, 109, 124, 115, 43, 120, 43, 27, 27, 18, 28, 48, 125, 107, 114, 34, 133, 45, 120, 30, 127, 31, 116, 146)   stem(x)  
http://rosettacode.org/wiki/Stem-and-leaf_plot
Stem-and-leaf plot
Create a well-formatted stem-and-leaf plot from the following data set, where the leaves are the last digits: 12 127 28 42 39 113 42 18 44 118 44 37 113 124 37 48 127 36 29 31 125 139 131 115 105 132 104 123 35 113 122 42 117 119 58 109 23 105 63 27 44 105 99 41 128 121 116 125 32 61 37 127 29 113 121 58 114 126 53 114 96 25 109 7 31 141 46 13 27 43 117 116 27 7 68 40 31 115 124 42 128 52 71 118 117 38 27 106 33 117 116 111 40 119 47 105 57 122 109 124 115 43 120 43 27 27 18 28 48 125 107 114 34 133 45 120 30 127 31 116 146 The primary intent of this task is the presentation of information. It is acceptable to hardcode the data set or characteristics of it (such as what the stems are) in the example, insofar as it is impractical to make the example generic to any data set. For example, in a computation-less language like HTML the data set may be entirely prearranged within the example; the interesting characteristics are how the proper visual formatting is arranged. If possible, the output should not be a bitmap image. Monospaced plain text is acceptable, but do better if you can. It may be a window, i.e. not a file. Note: If you wish to try multiple data sets, you might try this generator.
#Racket
Racket
  #lang racket (define (show-stem+leaf data) (define xs (sort data <)) (for ([stem (add1 (floor (/ (last xs) 10)))]) (printf "~a|" (~a #:width 2 #:align 'right stem)) (for ([i xs]) (define-values [q r] (quotient/remainder i 10)) (when (= q stem) (printf " ~a" r))) (newline))) (show-stem+leaf (sequence->list (in-producer read eof)))  
http://rosettacode.org/wiki/Split_a_character_string_based_on_change_of_character
Split a character string based on change of character
Task Split a (character) string into comma (plus a blank) delimited strings based on a change of character   (left to right). Show the output here   (use the 1st example below). Blanks should be treated as any other character   (except they are problematic to display clearly).   The same applies to commas. For instance, the string: gHHH5YY++///\ should be split and show: g, HHH, 5, YY, ++, ///, \ Other tasks related to string operations: Metrics Array length String length Copy a string Empty string  (assignment) Counting Word frequency Letter frequency Jewels and stones I before E except after C Bioinformatics/base count Count occurrences of a substring Count how many vowels and consonants occur in a string Remove/replace XXXX redacted Conjugate a Latin verb Remove vowels from a string String interpolation (included) Strip block comments Strip comments from a string Strip a set of characters from a string Strip whitespace from a string -- top and tail Strip control codes and extended characters from a string Anagrams/Derangements/shuffling Word wheel ABC problem Sattolo cycle Knuth shuffle Ordered words Superpermutation minimisation Textonyms (using a phone text pad) Anagrams Anagrams/Deranged anagrams Permutations/Derangements Find/Search/Determine ABC words Odd words Word ladder Semordnilap Word search Wordiff  (game) String matching Tea cup rim text Alternade words Changeable words State name puzzle String comparison Unique characters Unique characters in each string Extract file extension Levenshtein distance Palindrome detection Common list elements Longest common suffix Longest common prefix Compare a list of strings Longest common substring Find common directory path Words from neighbour ones Change e letters to i in words Non-continuous subsequences Longest common subsequence Longest palindromic substrings Longest increasing subsequence Words containing "the" substring Sum of the digits of n is substring of n Determine if a string is numeric Determine if a string is collapsible Determine if a string is squeezable Determine if a string has all unique characters Determine if a string has all the same characters Longest substrings without repeating characters Find words which contains all the vowels Find words which contains most consonants Find words which contains more than 3 vowels Find words which first and last three letters are equals Find words which odd letters are consonants and even letters are vowels or vice_versa Formatting Substring Rep-string Word wrap String case Align columns Literals/String Repeat a string Brace expansion Brace expansion using ranges Reverse a string Phrase reversals Comma quibbling Special characters String concatenation Substring/Top and tail Commatizing numbers Reverse words in a string Suffixation of decimal numbers Long literals, with continuations Numerical and alphabetical suffixes Abbreviations, easy Abbreviations, simple Abbreviations, automatic Song lyrics/poems/Mad Libs/phrases Mad Libs Magic 8-ball 99 Bottles of Beer The Name Game (a song) The Old lady swallowed a fly The Twelve Days of Christmas Tokenize Text between Tokenize a string Word break problem Tokenize a string with escaping Split a character string based on change of character Sequences Show ASCII table De Bruijn sequences Self-referential sequences Generate lower case ASCII alphabet
#BASIC256
BASIC256
function split$(instring$) if length(instring$) < 2 then return instring$ ret$ = left(instring$,1) for i = 2 to length(instring$) if mid(instring$,i,1) <> mid(instring$, i-1, 1) then ret$ += ", " ret$ += mid(instring$, i, 1) next i return ret$ end function   print split$("gHHH5YY++///\")
http://rosettacode.org/wiki/Split_a_character_string_based_on_change_of_character
Split a character string based on change of character
Task Split a (character) string into comma (plus a blank) delimited strings based on a change of character   (left to right). Show the output here   (use the 1st example below). Blanks should be treated as any other character   (except they are problematic to display clearly).   The same applies to commas. For instance, the string: gHHH5YY++///\ should be split and show: g, HHH, 5, YY, ++, ///, \ Other tasks related to string operations: Metrics Array length String length Copy a string Empty string  (assignment) Counting Word frequency Letter frequency Jewels and stones I before E except after C Bioinformatics/base count Count occurrences of a substring Count how many vowels and consonants occur in a string Remove/replace XXXX redacted Conjugate a Latin verb Remove vowels from a string String interpolation (included) Strip block comments Strip comments from a string Strip a set of characters from a string Strip whitespace from a string -- top and tail Strip control codes and extended characters from a string Anagrams/Derangements/shuffling Word wheel ABC problem Sattolo cycle Knuth shuffle Ordered words Superpermutation minimisation Textonyms (using a phone text pad) Anagrams Anagrams/Deranged anagrams Permutations/Derangements Find/Search/Determine ABC words Odd words Word ladder Semordnilap Word search Wordiff  (game) String matching Tea cup rim text Alternade words Changeable words State name puzzle String comparison Unique characters Unique characters in each string Extract file extension Levenshtein distance Palindrome detection Common list elements Longest common suffix Longest common prefix Compare a list of strings Longest common substring Find common directory path Words from neighbour ones Change e letters to i in words Non-continuous subsequences Longest common subsequence Longest palindromic substrings Longest increasing subsequence Words containing "the" substring Sum of the digits of n is substring of n Determine if a string is numeric Determine if a string is collapsible Determine if a string is squeezable Determine if a string has all unique characters Determine if a string has all the same characters Longest substrings without repeating characters Find words which contains all the vowels Find words which contains most consonants Find words which contains more than 3 vowels Find words which first and last three letters are equals Find words which odd letters are consonants and even letters are vowels or vice_versa Formatting Substring Rep-string Word wrap String case Align columns Literals/String Repeat a string Brace expansion Brace expansion using ranges Reverse a string Phrase reversals Comma quibbling Special characters String concatenation Substring/Top and tail Commatizing numbers Reverse words in a string Suffixation of decimal numbers Long literals, with continuations Numerical and alphabetical suffixes Abbreviations, easy Abbreviations, simple Abbreviations, automatic Song lyrics/poems/Mad Libs/phrases Mad Libs Magic 8-ball 99 Bottles of Beer The Name Game (a song) The Old lady swallowed a fly The Twelve Days of Christmas Tokenize Text between Tokenize a string Word break problem Tokenize a string with escaping Split a character string based on change of character Sequences Show ASCII table De Bruijn sequences Self-referential sequences Generate lower case ASCII alphabet
#BBC_BASIC
BBC BASIC
REM >split PRINT FN_split( "gHHH5YY++///\" ) END   DEF FN_split( s$ ) LOCAL c$, split$, d$, i% c$ = LEFT$( s$, 1 ) split$ = "" FOR i% = 1 TO LEN s$ LET d$ = MID$( s$, i%, 1 ) IF d$ <> c$ THEN split$ += ", " c$ = d$ ENDIF split$ += d$ NEXT = split$
http://rosettacode.org/wiki/Stern-Brocot_sequence
Stern-Brocot sequence
For this task, the Stern-Brocot sequence is to be generated by an algorithm similar to that employed in generating the Fibonacci sequence. The first and second members of the sequence are both 1:     1, 1 Start by considering the second member of the sequence Sum the considered member of the sequence and its precedent, (1 + 1) = 2, and append it to the end of the sequence:     1, 1, 2 Append the considered member of the sequence to the end of the sequence:     1, 1, 2, 1 Consider the next member of the series, (the third member i.e. 2) GOTO 3         ─── Expanding another loop we get: ─── Sum the considered member of the sequence and its precedent, (2 + 1) = 3, and append it to the end of the sequence:     1, 1, 2, 1, 3 Append the considered member of the sequence to the end of the sequence:     1, 1, 2, 1, 3, 2 Consider the next member of the series, (the fourth member i.e. 1) The task is to Create a function/method/subroutine/procedure/... to generate the Stern-Brocot sequence of integers using the method outlined above. Show the first fifteen members of the sequence. (This should be: 1, 1, 2, 1, 3, 2, 3, 1, 4, 3, 5, 2, 5, 3, 4) Show the (1-based) index of where the numbers 1-to-10 first appears in the sequence. Show the (1-based) index of where the number 100 first appears in the sequence. Check that the greatest common divisor of all the two consecutive members of the series up to the 1000th member, is always one. Show your output on this page. Related tasks   Fusc sequence.   Continued fraction/Arithmetic Ref Infinite Fractions - Numberphile (Video). Trees, Teeth, and Time: The mathematics of clock making. A002487 The On-Line Encyclopedia of Integer Sequences.
#Perl
Perl
use strict; use warnings;   sub stern_brocot { my @list = (1, 1); sub { push @list, $list[0] + $list[1], $list[1]; shift @list; } }   { my $generator = stern_brocot; print join ' ', map &$generator, 1 .. 15; print "\n"; }   for (1 .. 10, 100) { my $index = 1; my $generator = stern_brocot; $index++ until $generator->() == $_; print "first occurrence of $_ is at index $index\n"; }   { sub gcd { my ($u, $v) = @_; $v ? gcd($v, $u % $v) : abs($u); } my $generator = stern_brocot; my ($a, $b) = ($generator->(), $generator->()); for (1 .. 1000) { die "unexpected GCD for $a and $b" unless gcd($a, $b) == 1; ($a, $b) = ($b, $generator->()); } }
http://rosettacode.org/wiki/Spinning_rod_animation/Text
Spinning rod animation/Text
Task An animation with the following frames in the following order (if certain characters aren't available or can't be used correctly in the programming language, alternate characters can replace any of these frames) must animate with a delay of 0.25 seconds between each frame, with the previous frame being cleared before the next frame appears:   |   /   - or ─   \ A stand-alone version that loops and/or a version that doesn't loop can be made. These examples can also be converted into a system used in game development which is called on a HUD or GUI element requiring it to be called each frame to output the text, and advance the frame when the frame delay has passed. You can also use alternate text such as the . animation ( . | .. | ... | .. | repeat from . ) or the logic can be updated to include a ping/pong style where the frames advance forward, reach the end and then play backwards and when they reach the beginning they start over ( technically, you'd stop one frame prior to prevent the first frame playing twice, or write it another way ). There are many different ways you can incorporate text animations. Here are a few text ideas - each frame is in quotes. If you can think of any, add them to this page! There are 2 examples for several of these; the first is the base animation with only unique sets of characters. The second consists of the primary set from a - n and doubled, minus the first and last element ie: We only want the center. This way an animation can play forwards, and then in reverse ( ping ponging ) without having to code that feature. For the animations with 3 elements, we only add 1, the center. with 4, it becomes 6. with 10, it becomes 18. We don't need the second option for some of the animations if they connect smoothly, when animated, back to the first element. ... doesn't connect with . cleanly - there is a large leap. The rotating pipe meets the first perfectly so it isn't necessary, etc..   Dots - Option A requires ping / pong enabled script. Option B just adds the elements in the center.   '.', '..', '...'   '.', '..', '...', '..'   Pipe - This has the uniform sideways pipe instead of a hyphen to prevent non-uniform sizing.   '|', '/', '─', '\'   Stars - Option A requires ping / pong enabled script. Option B just adds the elements from the center.   '⁎', '⁑', '⁂'   '⁎', '⁑', '⁂', '⁑'   Clock - These need to be ordered. I haven't done this yet as the application I was testing the system in doesn't support these wingdings / icons. But this would look quite nice and you could set it up to go forward, or backward during an undo process, etc..   '🕛', '🕧', '🕐', '🕜', '🕑', '🕝', '🕒', '🕞', '🕓', '🕟', '🕔', '🕠', '🕕', '🕖', '🕗', '🕘', '🕙', '🕚', '🕡', '🕢', '🕣', '🕤', '🕥', '🕦'   Arrows:   '⬍', '⬈', '➞', '⬊', '⬍', '⬋', '⬅', '⬉'   Bird - This looks decent but may be missing something.   '︷', '︵', '︹', '︺', '︶', '︸'   '︷', '︵', '︹', '︺', '︶', '︸', '︶', '︺', '︹', '︵'   Plants - This isn't quite complete   '☘', '❀', '❁'   '☘', '❀', '❁', '❀'   Eclipse - From Raku Throbber post author   '🌑', '🌒', '🌓', '🌔', '🌕', '🌖', '🌗', '🌘'
#AWK
AWK
  # syntax: GAWK -f SPINNING_ROD_ANIMATION_TEXT.AWK @load "time" BEGIN { while (1) { printf(" %s\r",substr("|/-\\",x++%4+1,1)) sleep(.25) } exit(0) }  
http://rosettacode.org/wiki/Spinning_rod_animation/Text
Spinning rod animation/Text
Task An animation with the following frames in the following order (if certain characters aren't available or can't be used correctly in the programming language, alternate characters can replace any of these frames) must animate with a delay of 0.25 seconds between each frame, with the previous frame being cleared before the next frame appears:   |   /   - or ─   \ A stand-alone version that loops and/or a version that doesn't loop can be made. These examples can also be converted into a system used in game development which is called on a HUD or GUI element requiring it to be called each frame to output the text, and advance the frame when the frame delay has passed. You can also use alternate text such as the . animation ( . | .. | ... | .. | repeat from . ) or the logic can be updated to include a ping/pong style where the frames advance forward, reach the end and then play backwards and when they reach the beginning they start over ( technically, you'd stop one frame prior to prevent the first frame playing twice, or write it another way ). There are many different ways you can incorporate text animations. Here are a few text ideas - each frame is in quotes. If you can think of any, add them to this page! There are 2 examples for several of these; the first is the base animation with only unique sets of characters. The second consists of the primary set from a - n and doubled, minus the first and last element ie: We only want the center. This way an animation can play forwards, and then in reverse ( ping ponging ) without having to code that feature. For the animations with 3 elements, we only add 1, the center. with 4, it becomes 6. with 10, it becomes 18. We don't need the second option for some of the animations if they connect smoothly, when animated, back to the first element. ... doesn't connect with . cleanly - there is a large leap. The rotating pipe meets the first perfectly so it isn't necessary, etc..   Dots - Option A requires ping / pong enabled script. Option B just adds the elements in the center.   '.', '..', '...'   '.', '..', '...', '..'   Pipe - This has the uniform sideways pipe instead of a hyphen to prevent non-uniform sizing.   '|', '/', '─', '\'   Stars - Option A requires ping / pong enabled script. Option B just adds the elements from the center.   '⁎', '⁑', '⁂'   '⁎', '⁑', '⁂', '⁑'   Clock - These need to be ordered. I haven't done this yet as the application I was testing the system in doesn't support these wingdings / icons. But this would look quite nice and you could set it up to go forward, or backward during an undo process, etc..   '🕛', '🕧', '🕐', '🕜', '🕑', '🕝', '🕒', '🕞', '🕓', '🕟', '🕔', '🕠', '🕕', '🕖', '🕗', '🕘', '🕙', '🕚', '🕡', '🕢', '🕣', '🕤', '🕥', '🕦'   Arrows:   '⬍', '⬈', '➞', '⬊', '⬍', '⬋', '⬅', '⬉'   Bird - This looks decent but may be missing something.   '︷', '︵', '︹', '︺', '︶', '︸'   '︷', '︵', '︹', '︺', '︶', '︸', '︶', '︺', '︹', '︵'   Plants - This isn't quite complete   '☘', '❀', '❁'   '☘', '❀', '❁', '❀'   Eclipse - From Raku Throbber post author   '🌑', '🌒', '🌓', '🌔', '🌕', '🌖', '🌗', '🌘'
#BaCon
BaCon
WHILE TRUE PRINT CR$, TOKEN$("🌑 🌒 🌓 🌔 🌕 🌖 🌗 🌘", x); x = IIF(x>7, 1, x+1) SLEEP 250 WEND
http://rosettacode.org/wiki/Stack
Stack
Data Structure This illustrates a data structure, a means of storing data within a program. You may see other such structures in the Data Structures category. A stack is a container of elements with   last in, first out   access policy.   Sometimes it also called LIFO. The stack is accessed through its top. The basic stack operations are:   push   stores a new element onto the stack top;   pop   returns the last pushed stack element, while removing it from the stack;   empty   tests if the stack contains no elements. Sometimes the last pushed stack element is made accessible for immutable access (for read) or mutable access (for write):   top   (sometimes called peek to keep with the p theme) returns the topmost element without modifying the stack. Stacks allow a very simple hardware implementation. They are common in almost all processors. In programming, stacks are also very popular for their way (LIFO) of resource management, usually memory. Nested scopes of language objects are naturally implemented by a stack (sometimes by multiple stacks). This is a classical way to implement local variables of a re-entrant or recursive subprogram. Stacks are also used to describe a formal computational framework. See stack machine. Many algorithms in pattern matching, compiler construction (e.g. recursive descent parsers), and machine learning (e.g. based on tree traversal) have a natural representation in terms of stacks. Task Create a stack supporting the basic operations: push, pop, empty. See also Array Associative array: Creation, Iteration Collections Compound data type Doubly-linked list: Definition, Element definition, Element insertion, List Traversal, Element Removal Linked list Queue: Definition, Usage Set Singly-linked list: Element definition, Element insertion, List Traversal, Element Removal Stack
#Axe
Axe
0→S Lbl PUSH r₁→{L₁+S}ʳ S+2→S Return   Lbl POP S-2→S {L₁+S}ʳ Return   Lbl EMPTY S≤≤0 Return
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#Kotlin
Kotlin
// Kotlin Native v0.6.2   import kotlinx.cinterop.* import platform.posix.*   fun talk(s: String) { val pid = fork() if (pid < 0) { perror("fork") exit(1) } if (pid == 0) { execlp("espeak", "espeak", s, null) perror("espeak") _exit(1) } memScoped { val status = alloc<IntVar>() waitpid(pid, status.ptr, 0) if (status.value > 0) println("Exit status was ${status.value}") } }   fun main(args: Array<String>) { talk("This is an example of speech synthesis.") }
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#Liberty_BASIC
Liberty BASIC
  nomainwin run "C:\Program Files\eSpeak\command_line\espeak "; chr$( 34); "This is an example of speech synthesis."; chr$( 34) end  
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#Locomotive_Basic
Locomotive Basic
|say,"This is an example of speech synthesis."
http://rosettacode.org/wiki/Square_but_not_cube
Square but not cube
Task Show the first   30   positive integers which are squares but not cubes of such integers. Optionally, show also the first   3   positive integers which are both squares and cubes,   and mark them as such.
#dc
dc
  [n = # of non-cube squares found; we stop when it hits 30]sz [b = # found that are both squares and cubes]sz 0 d sn sb   [c = current cube, s = current square, r = current cube root, q = current square root, f = "first" flag, to control comma delimiting]sz 1 d sc d ss d sq d sr sf   [M = main loop]sz [ lq d * d ss [square q into s]sz lc r >I [if s > c then call Increment]sz lc ls <F [if s < c then s is a non-cube square; call Found]sz lc ls =R [if s = c then s is a cubic square; call Remember]sz lq 1 + sq [increment q]sz ln 30 >M [loop if n is still < 30]sz ]sM   [I = Increment. Bump r and c=r^3 until c >= s]sz [ lr 1 + d sr d d * * d sc ls >I ]sI   [C = Comma. Print a comma and a space]sz [ 44P 32P ]sC   [F = Found. Print s and increment n]sz [ ln 1 + sn lf 0 =C 0 sf [print ", " if f is not set; clear f]sz ls n ]sF   [R = Remember. Save s in array l for later.]sz [ lb d ls r :l 1 + sb ]sR   [B = print Both. Print out the values saved in array l.]sz [ lf 0 =C 0 sf [print ", " if f is not set; clear f]sz li d ;l n 1 + d si lb r <B ]sB   [Print label and newline]sz [Squares but not cubes:]n 10P   [Run main loop]sz lMx   [Print two more newlines]sz 10 d P P   [Print second label and newline]sz [Both squares and cubes:]n 10P   [initialize i to 0, set f again, and call B to print out the values in l]sz 0 si 1 sf lBx 10P
http://rosettacode.org/wiki/Statistics/Basic
Statistics/Basic
Statistics is all about large groups of numbers. When talking about a set of sampled data, most frequently used is their mean value and standard deviation (stddev). If you have set of data x i {\displaystyle x_{i}} where i = 1 , 2 , … , n {\displaystyle i=1,2,\ldots ,n\,\!} , the mean is x ¯ ≡ 1 n ∑ i x i {\displaystyle {\bar {x}}\equiv {1 \over n}\sum _{i}x_{i}} , while the stddev is σ ≡ 1 n ∑ i ( x i − x ¯ ) 2 {\displaystyle \sigma \equiv {\sqrt {{1 \over n}\sum _{i}\left(x_{i}-{\bar {x}}\right)^{2}}}} . When examining a large quantity of data, one often uses a histogram, which shows the counts of data samples falling into a prechosen set of intervals (or bins). When plotted, often as bar graphs, it visually indicates how often each data value occurs. Task Using your language's random number routine, generate real numbers in the range of [0, 1]. It doesn't matter if you chose to use open or closed range. Create 100 of such numbers (i.e. sample size 100) and calculate their mean and stddev. Do so for sample size of 1,000 and 10,000, maybe even higher if you feel like. Show a histogram of any of these sets. Do you notice some patterns about the standard deviation? Extra Sometimes so much data need to be processed that it's impossible to keep all of them at once. Can you calculate the mean, stddev and histogram of a trillion numbers? (You don't really need to do a trillion numbers, just show how it can be done.) Hint For a finite population with equal probabilities at all points, one can derive: ( x − x ¯ ) 2 ¯ = x 2 ¯ − x ¯ 2 {\displaystyle {\overline {(x-{\overline {x}})^{2}}}={\overline {x^{2}}}-{\overline {x}}^{2}} Or, more verbosely: 1 N ∑ i = 1 N ( x i − x ¯ ) 2 = 1 N ( ∑ i = 1 N x i 2 ) − x ¯ 2 . {\displaystyle {\frac {1}{N}}\sum _{i=1}^{N}(x_{i}-{\overline {x}})^{2}={\frac {1}{N}}\left(\sum _{i=1}^{N}x_{i}^{2}\right)-{\overline {x}}^{2}.} See also Statistics/Normal distribution Tasks for calculating statistical measures in one go moving (sliding window) moving (cumulative) Mean Arithmetic Statistics/Basic Averages/Arithmetic mean Averages/Pythagorean means Averages/Simple moving average Geometric Averages/Pythagorean means Harmonic Averages/Pythagorean means Quadratic Averages/Root mean square Circular Averages/Mean angle Averages/Mean time of day Median Averages/Median Mode Averages/Mode Standard deviation Statistics/Basic Cumulative standard deviation
#Maple
Maple
with(Statistics): X_100 := Sample( Uniform(0,1), 100 ); Mean( X_100 ); StandardDeviation( X_100 ); Histogram( X_100 );
http://rosettacode.org/wiki/Statistics/Basic
Statistics/Basic
Statistics is all about large groups of numbers. When talking about a set of sampled data, most frequently used is their mean value and standard deviation (stddev). If you have set of data x i {\displaystyle x_{i}} where i = 1 , 2 , … , n {\displaystyle i=1,2,\ldots ,n\,\!} , the mean is x ¯ ≡ 1 n ∑ i x i {\displaystyle {\bar {x}}\equiv {1 \over n}\sum _{i}x_{i}} , while the stddev is σ ≡ 1 n ∑ i ( x i − x ¯ ) 2 {\displaystyle \sigma \equiv {\sqrt {{1 \over n}\sum _{i}\left(x_{i}-{\bar {x}}\right)^{2}}}} . When examining a large quantity of data, one often uses a histogram, which shows the counts of data samples falling into a prechosen set of intervals (or bins). When plotted, often as bar graphs, it visually indicates how often each data value occurs. Task Using your language's random number routine, generate real numbers in the range of [0, 1]. It doesn't matter if you chose to use open or closed range. Create 100 of such numbers (i.e. sample size 100) and calculate their mean and stddev. Do so for sample size of 1,000 and 10,000, maybe even higher if you feel like. Show a histogram of any of these sets. Do you notice some patterns about the standard deviation? Extra Sometimes so much data need to be processed that it's impossible to keep all of them at once. Can you calculate the mean, stddev and histogram of a trillion numbers? (You don't really need to do a trillion numbers, just show how it can be done.) Hint For a finite population with equal probabilities at all points, one can derive: ( x − x ¯ ) 2 ¯ = x 2 ¯ − x ¯ 2 {\displaystyle {\overline {(x-{\overline {x}})^{2}}}={\overline {x^{2}}}-{\overline {x}}^{2}} Or, more verbosely: 1 N ∑ i = 1 N ( x i − x ¯ ) 2 = 1 N ( ∑ i = 1 N x i 2 ) − x ¯ 2 . {\displaystyle {\frac {1}{N}}\sum _{i=1}^{N}(x_{i}-{\overline {x}})^{2}={\frac {1}{N}}\left(\sum _{i=1}^{N}x_{i}^{2}\right)-{\overline {x}}^{2}.} See also Statistics/Normal distribution Tasks for calculating statistical measures in one go moving (sliding window) moving (cumulative) Mean Arithmetic Statistics/Basic Averages/Arithmetic mean Averages/Pythagorean means Averages/Simple moving average Geometric Averages/Pythagorean means Harmonic Averages/Pythagorean means Quadratic Averages/Root mean square Circular Averages/Mean angle Averages/Mean time of day Median Averages/Median Mode Averages/Mode Standard deviation Statistics/Basic Cumulative standard deviation
#Mathematica.2FWolfram_Language
Mathematica/Wolfram Language
Sample[n_]:= (Print[#//Length," numbers, Mean : ",#//Mean,", StandardDeviation : ",#//StandardDeviation ]; BarChart[BinCounts[#,{0,1,.1}], Axes->False, BarOrigin->Left])&[(RandomReal[1,#])&[ n ]] Sample/@{100,1 000,10 000,1 000 000}
http://rosettacode.org/wiki/Square-free_integers
Square-free integers
Task Write a function to test if a number is   square-free. A   square-free   is an integer which is divisible by no perfect square other than   1   (unity). For this task, only positive square-free numbers will be used. Show here (on this page) all square-free integers (in a horizontal format) that are between:   1   ───►   145     (inclusive)   1 trillion   ───►   1 trillion + 145     (inclusive) (One trillion = 1,000,000,000,000) Show here (on this page) the count of square-free integers from:   1   ───►   one hundred     (inclusive)   1   ───►   one thousand     (inclusive)   1   ───►   ten thousand     (inclusive)   1   ───►   one hundred thousand     (inclusive)   1   ───►   one million     (inclusive) See also   the Wikipedia entry:   square-free integer
#Ruby
Ruby
require "prime"   class Integer def square_free? prime_division.none?{|pr, exp| exp > 1} end end   puts (1..145).select(&:square_free?).each_slice(20).map{|a| a.join(" ")} puts   m = 10**12 puts (m..m+145).select(&:square_free?).each_slice(6).map{|a| a.join(" ")} puts   markers = [100, 1000, 10_000, 100_000, 1_000_000] count = 0 (1..1_000_000).each do |n| count += 1 if n.square_free? puts "#{count} square-frees upto #{n}" if markers.include?(n) end  
http://rosettacode.org/wiki/Stem-and-leaf_plot
Stem-and-leaf plot
Create a well-formatted stem-and-leaf plot from the following data set, where the leaves are the last digits: 12 127 28 42 39 113 42 18 44 118 44 37 113 124 37 48 127 36 29 31 125 139 131 115 105 132 104 123 35 113 122 42 117 119 58 109 23 105 63 27 44 105 99 41 128 121 116 125 32 61 37 127 29 113 121 58 114 126 53 114 96 25 109 7 31 141 46 13 27 43 117 116 27 7 68 40 31 115 124 42 128 52 71 118 117 38 27 106 33 117 116 111 40 119 47 105 57 122 109 124 115 43 120 43 27 27 18 28 48 125 107 114 34 133 45 120 30 127 31 116 146 The primary intent of this task is the presentation of information. It is acceptable to hardcode the data set or characteristics of it (such as what the stems are) in the example, insofar as it is impractical to make the example generic to any data set. For example, in a computation-less language like HTML the data set may be entirely prearranged within the example; the interesting characteristics are how the proper visual formatting is arranged. If possible, the output should not be a bitmap image. Monospaced plain text is acceptable, but do better if you can. It may be a window, i.e. not a file. Note: If you wish to try multiple data sets, you might try this generator.
#Raku
Raku
my @data = < 12 127 28 42 39 113 42 18 44 118 44 37 113 124 37 48 127 36 29 31 125 139 131 115 105 132 104 123 35 113 122 42 117 119 58 109 23 105 63 27 44 105 99 41 128 121 116 125 32 61 37 127 29 113 121 58 114 126 53 114 96 25 109 7 31 141 46 13 27 43 117 116 27 7 68 40 31 115 124 42 128 52 71 118 117 38 27 106 33 117 116 111 40 119 47 105 57 122 109 124 115 43 120 43 27 27 18 28 48 125 107 114 34 133 45 120 30 127 31 116 146 >».Int.sort;   my Int $stem_unit = 10; my %h = @data.classify: * div $stem_unit;   my $range = [minmax] %h.keys».Int; my $stem_format = "%{$range.min.chars max $range.max.chars}d";   for $range.list -> $stem { my $leafs = %h{$stem} // []; say $stem.fmt($stem_format), ' | ', ~$leafs.map: * % $stem_unit; }
http://rosettacode.org/wiki/Split_a_character_string_based_on_change_of_character
Split a character string based on change of character
Task Split a (character) string into comma (plus a blank) delimited strings based on a change of character   (left to right). Show the output here   (use the 1st example below). Blanks should be treated as any other character   (except they are problematic to display clearly).   The same applies to commas. For instance, the string: gHHH5YY++///\ should be split and show: g, HHH, 5, YY, ++, ///, \ Other tasks related to string operations: Metrics Array length String length Copy a string Empty string  (assignment) Counting Word frequency Letter frequency Jewels and stones I before E except after C Bioinformatics/base count Count occurrences of a substring Count how many vowels and consonants occur in a string Remove/replace XXXX redacted Conjugate a Latin verb Remove vowels from a string String interpolation (included) Strip block comments Strip comments from a string Strip a set of characters from a string Strip whitespace from a string -- top and tail Strip control codes and extended characters from a string Anagrams/Derangements/shuffling Word wheel ABC problem Sattolo cycle Knuth shuffle Ordered words Superpermutation minimisation Textonyms (using a phone text pad) Anagrams Anagrams/Deranged anagrams Permutations/Derangements Find/Search/Determine ABC words Odd words Word ladder Semordnilap Word search Wordiff  (game) String matching Tea cup rim text Alternade words Changeable words State name puzzle String comparison Unique characters Unique characters in each string Extract file extension Levenshtein distance Palindrome detection Common list elements Longest common suffix Longest common prefix Compare a list of strings Longest common substring Find common directory path Words from neighbour ones Change e letters to i in words Non-continuous subsequences Longest common subsequence Longest palindromic substrings Longest increasing subsequence Words containing "the" substring Sum of the digits of n is substring of n Determine if a string is numeric Determine if a string is collapsible Determine if a string is squeezable Determine if a string has all unique characters Determine if a string has all the same characters Longest substrings without repeating characters Find words which contains all the vowels Find words which contains most consonants Find words which contains more than 3 vowels Find words which first and last three letters are equals Find words which odd letters are consonants and even letters are vowels or vice_versa Formatting Substring Rep-string Word wrap String case Align columns Literals/String Repeat a string Brace expansion Brace expansion using ranges Reverse a string Phrase reversals Comma quibbling Special characters String concatenation Substring/Top and tail Commatizing numbers Reverse words in a string Suffixation of decimal numbers Long literals, with continuations Numerical and alphabetical suffixes Abbreviations, easy Abbreviations, simple Abbreviations, automatic Song lyrics/poems/Mad Libs/phrases Mad Libs Magic 8-ball 99 Bottles of Beer The Name Game (a song) The Old lady swallowed a fly The Twelve Days of Christmas Tokenize Text between Tokenize a string Word break problem Tokenize a string with escaping Split a character string based on change of character Sequences Show ASCII table De Bruijn sequences Self-referential sequences Generate lower case ASCII alphabet
#C
C
#include <stdio.h> #include <stdlib.h> #include <string.h> char *split(char *str); int main(int argc,char **argv) { char input[13]="gHHH5YY++///\\"; printf("%s\n",split(input)); } char *split(char *str) { char last=*str,*result=malloc(3*strlen(str)),*counter=result; for (char *c=str;*c;c++) { if (*c!=last) { strcpy(counter,", "); counter+=2; last=*c; } *counter=*c; counter++; } *(counter--)='\0'; return realloc(result,strlen(result)); }
http://rosettacode.org/wiki/Stern-Brocot_sequence
Stern-Brocot sequence
For this task, the Stern-Brocot sequence is to be generated by an algorithm similar to that employed in generating the Fibonacci sequence. The first and second members of the sequence are both 1:     1, 1 Start by considering the second member of the sequence Sum the considered member of the sequence and its precedent, (1 + 1) = 2, and append it to the end of the sequence:     1, 1, 2 Append the considered member of the sequence to the end of the sequence:     1, 1, 2, 1 Consider the next member of the series, (the third member i.e. 2) GOTO 3         ─── Expanding another loop we get: ─── Sum the considered member of the sequence and its precedent, (2 + 1) = 3, and append it to the end of the sequence:     1, 1, 2, 1, 3 Append the considered member of the sequence to the end of the sequence:     1, 1, 2, 1, 3, 2 Consider the next member of the series, (the fourth member i.e. 1) The task is to Create a function/method/subroutine/procedure/... to generate the Stern-Brocot sequence of integers using the method outlined above. Show the first fifteen members of the sequence. (This should be: 1, 1, 2, 1, 3, 2, 3, 1, 4, 3, 5, 2, 5, 3, 4) Show the (1-based) index of where the numbers 1-to-10 first appears in the sequence. Show the (1-based) index of where the number 100 first appears in the sequence. Check that the greatest common divisor of all the two consecutive members of the series up to the 1000th member, is always one. Show your output on this page. Related tasks   Fusc sequence.   Continued fraction/Arithmetic Ref Infinite Fractions - Numberphile (Video). Trees, Teeth, and Time: The mathematics of clock making. A002487 The On-Line Encyclopedia of Integer Sequences.
#Phix
Phix
sequence sb = {1,1} integer c = 2 function stern_brocot(integer n) while length(sb)<n do sb &= sb[c]+sb[c-1] & sb[c] c += 1 end while return sb[1..n] end function sequence s = stern_brocot(15) puts(1,"first 15:") ?s integer n = 16, k sequence idx = tagset(10) for i=1 to length(idx) do while 1 do k = find(idx[i],s) if k!=0 then exit end if n *= 2 s = stern_brocot(n) end while idx[i] = k end for puts(1,"indexes of 1..10:") ?idx puts(1,"index of 100:") while 1 do k = find(100,s) if k!=0 then exit end if n *= 2 s = stern_brocot(n) end while ?k s = stern_brocot(1000) integer maxgcd = 1 for i=1 to 999 do maxgcd = max(gcd(s[i],s[i+1]),maxgcd) end for printf(1,"max gcd:%d\n",{maxgcd})
http://rosettacode.org/wiki/Spinning_rod_animation/Text
Spinning rod animation/Text
Task An animation with the following frames in the following order (if certain characters aren't available or can't be used correctly in the programming language, alternate characters can replace any of these frames) must animate with a delay of 0.25 seconds between each frame, with the previous frame being cleared before the next frame appears:   |   /   - or ─   \ A stand-alone version that loops and/or a version that doesn't loop can be made. These examples can also be converted into a system used in game development which is called on a HUD or GUI element requiring it to be called each frame to output the text, and advance the frame when the frame delay has passed. You can also use alternate text such as the . animation ( . | .. | ... | .. | repeat from . ) or the logic can be updated to include a ping/pong style where the frames advance forward, reach the end and then play backwards and when they reach the beginning they start over ( technically, you'd stop one frame prior to prevent the first frame playing twice, or write it another way ). There are many different ways you can incorporate text animations. Here are a few text ideas - each frame is in quotes. If you can think of any, add them to this page! There are 2 examples for several of these; the first is the base animation with only unique sets of characters. The second consists of the primary set from a - n and doubled, minus the first and last element ie: We only want the center. This way an animation can play forwards, and then in reverse ( ping ponging ) without having to code that feature. For the animations with 3 elements, we only add 1, the center. with 4, it becomes 6. with 10, it becomes 18. We don't need the second option for some of the animations if they connect smoothly, when animated, back to the first element. ... doesn't connect with . cleanly - there is a large leap. The rotating pipe meets the first perfectly so it isn't necessary, etc..   Dots - Option A requires ping / pong enabled script. Option B just adds the elements in the center.   '.', '..', '...'   '.', '..', '...', '..'   Pipe - This has the uniform sideways pipe instead of a hyphen to prevent non-uniform sizing.   '|', '/', '─', '\'   Stars - Option A requires ping / pong enabled script. Option B just adds the elements from the center.   '⁎', '⁑', '⁂'   '⁎', '⁑', '⁂', '⁑'   Clock - These need to be ordered. I haven't done this yet as the application I was testing the system in doesn't support these wingdings / icons. But this would look quite nice and you could set it up to go forward, or backward during an undo process, etc..   '🕛', '🕧', '🕐', '🕜', '🕑', '🕝', '🕒', '🕞', '🕓', '🕟', '🕔', '🕠', '🕕', '🕖', '🕗', '🕘', '🕙', '🕚', '🕡', '🕢', '🕣', '🕤', '🕥', '🕦'   Arrows:   '⬍', '⬈', '➞', '⬊', '⬍', '⬋', '⬅', '⬉'   Bird - This looks decent but may be missing something.   '︷', '︵', '︹', '︺', '︶', '︸'   '︷', '︵', '︹', '︺', '︶', '︸', '︶', '︺', '︹', '︵'   Plants - This isn't quite complete   '☘', '❀', '❁'   '☘', '❀', '❁', '❀'   Eclipse - From Raku Throbber post author   '🌑', '🌒', '🌓', '🌔', '🌕', '🌖', '🌗', '🌘'
#Bash
Bash
while : ; do for rod in \| / - \\ ; do printf '  %s\r' $rod; sleep 0.25; done done
http://rosettacode.org/wiki/Spinning_rod_animation/Text
Spinning rod animation/Text
Task An animation with the following frames in the following order (if certain characters aren't available or can't be used correctly in the programming language, alternate characters can replace any of these frames) must animate with a delay of 0.25 seconds between each frame, with the previous frame being cleared before the next frame appears:   |   /   - or ─   \ A stand-alone version that loops and/or a version that doesn't loop can be made. These examples can also be converted into a system used in game development which is called on a HUD or GUI element requiring it to be called each frame to output the text, and advance the frame when the frame delay has passed. You can also use alternate text such as the . animation ( . | .. | ... | .. | repeat from . ) or the logic can be updated to include a ping/pong style where the frames advance forward, reach the end and then play backwards and when they reach the beginning they start over ( technically, you'd stop one frame prior to prevent the first frame playing twice, or write it another way ). There are many different ways you can incorporate text animations. Here are a few text ideas - each frame is in quotes. If you can think of any, add them to this page! There are 2 examples for several of these; the first is the base animation with only unique sets of characters. The second consists of the primary set from a - n and doubled, minus the first and last element ie: We only want the center. This way an animation can play forwards, and then in reverse ( ping ponging ) without having to code that feature. For the animations with 3 elements, we only add 1, the center. with 4, it becomes 6. with 10, it becomes 18. We don't need the second option for some of the animations if they connect smoothly, when animated, back to the first element. ... doesn't connect with . cleanly - there is a large leap. The rotating pipe meets the first perfectly so it isn't necessary, etc..   Dots - Option A requires ping / pong enabled script. Option B just adds the elements in the center.   '.', '..', '...'   '.', '..', '...', '..'   Pipe - This has the uniform sideways pipe instead of a hyphen to prevent non-uniform sizing.   '|', '/', '─', '\'   Stars - Option A requires ping / pong enabled script. Option B just adds the elements from the center.   '⁎', '⁑', '⁂'   '⁎', '⁑', '⁂', '⁑'   Clock - These need to be ordered. I haven't done this yet as the application I was testing the system in doesn't support these wingdings / icons. But this would look quite nice and you could set it up to go forward, or backward during an undo process, etc..   '🕛', '🕧', '🕐', '🕜', '🕑', '🕝', '🕒', '🕞', '🕓', '🕟', '🕔', '🕠', '🕕', '🕖', '🕗', '🕘', '🕙', '🕚', '🕡', '🕢', '🕣', '🕤', '🕥', '🕦'   Arrows:   '⬍', '⬈', '➞', '⬊', '⬍', '⬋', '⬅', '⬉'   Bird - This looks decent but may be missing something.   '︷', '︵', '︹', '︺', '︶', '︸'   '︷', '︵', '︹', '︺', '︶', '︸', '︶', '︺', '︹', '︵'   Plants - This isn't quite complete   '☘', '❀', '❁'   '☘', '❀', '❁', '❀'   Eclipse - From Raku Throbber post author   '🌑', '🌒', '🌓', '🌔', '🌕', '🌖', '🌗', '🌘'
#C
C
#include <stdio.h> #include <time.h>   int main() { int i, j, ms = 250; const char *a = "|/-\\"; time_t start, now; struct timespec delay; delay.tv_sec = 0; delay.tv_nsec = ms * 1000000L; printf("\033[?25l"); // hide the cursor time(&start); while(1) { for (i = 0; i < 4; i++) { printf("\033[2J"); // clear terminal printf("\033[0;0H"); // place cursor at top left corner for (j = 0; j < 80; j++) { // 80 character terminal width, say printf("%c", a[i]); } fflush(stdout); nanosleep(&delay, NULL); } // stop after 20 seconds, say time(&now); if (difftime(now, start) >= 20) break; } printf("\033[?25h"); // restore the cursor return 0; }
http://rosettacode.org/wiki/Stack
Stack
Data Structure This illustrates a data structure, a means of storing data within a program. You may see other such structures in the Data Structures category. A stack is a container of elements with   last in, first out   access policy.   Sometimes it also called LIFO. The stack is accessed through its top. The basic stack operations are:   push   stores a new element onto the stack top;   pop   returns the last pushed stack element, while removing it from the stack;   empty   tests if the stack contains no elements. Sometimes the last pushed stack element is made accessible for immutable access (for read) or mutable access (for write):   top   (sometimes called peek to keep with the p theme) returns the topmost element without modifying the stack. Stacks allow a very simple hardware implementation. They are common in almost all processors. In programming, stacks are also very popular for their way (LIFO) of resource management, usually memory. Nested scopes of language objects are naturally implemented by a stack (sometimes by multiple stacks). This is a classical way to implement local variables of a re-entrant or recursive subprogram. Stacks are also used to describe a formal computational framework. See stack machine. Many algorithms in pattern matching, compiler construction (e.g. recursive descent parsers), and machine learning (e.g. based on tree traversal) have a natural representation in terms of stacks. Task Create a stack supporting the basic operations: push, pop, empty. See also Array Associative array: Creation, Iteration Collections Compound data type Doubly-linked list: Definition, Element definition, Element insertion, List Traversal, Element Removal Linked list Queue: Definition, Usage Set Singly-linked list: Element definition, Element insertion, List Traversal, Element Removal Stack
#Babel
Babel
main : { (1 2 3) foo set -- foo = (1 2 3) 4 foo push -- foo = (1 2 3 4) 0 foo unshift -- foo = (0 1 2 3 4) foo pop -- foo = (0 1 2 3) foo shift -- foo = (1 2 3) check_foo { foo pop } 4 times -- Pops too many times, but this is OK and Babel won't complain check_foo }   empty? : nil? -- just aliases 'empty?' to the built-in operator 'nil?'   check_foo! : { "foo is " {foo empty?) {nil} {"not " .} ifte "empty" . cr << }  
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#M2000_Interpreter
M2000 Interpreter
  Module UsingStatementSpeech { Volume 100 Speech "This is an example of speech synthesis." } UsingStatementSpeech  
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#Mathematica.2FWolfram_Language
Mathematica/Wolfram Language
Speak["This is an example of speech synthesis."]
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#Nim
Nim
import osproc   discard execCmd("espeak 'Hello world!'")
http://rosettacode.org/wiki/Speech_synthesis
Speech synthesis
Render the text       This is an example of speech synthesis      as speech. Related task   using a speech engine to highlight words
#PARI.2FGP
PARI/GP
speak(txt,opt="")=extern(concat(["espeak ",opt," \"",txt,"\""]));
http://rosettacode.org/wiki/Square_but_not_cube
Square but not cube
Task Show the first   30   positive integers which are squares but not cubes of such integers. Optionally, show also the first   3   positive integers which are both squares and cubes,   and mark them as such.
#Delphi
Delphi
  program Square_but_not_cube;   {$APPTYPE CONSOLE}   uses System.SysUtils, System.Math;   begin var count := 0; var n := 1; while count < 30 do begin var sq := n * n; var cr := Trunc(Power(sq, 1 / 3)); if cr * cr * cr <> sq then begin inc(count); writeln(sq); end else Writeln(sq, ' is square and cube'); inc(n); end;   {$IFNDEF UNIX} readln; {$ENDIF} end.
http://rosettacode.org/wiki/Statistics/Basic
Statistics/Basic
Statistics is all about large groups of numbers. When talking about a set of sampled data, most frequently used is their mean value and standard deviation (stddev). If you have set of data x i {\displaystyle x_{i}} where i = 1 , 2 , … , n {\displaystyle i=1,2,\ldots ,n\,\!} , the mean is x ¯ ≡ 1 n ∑ i x i {\displaystyle {\bar {x}}\equiv {1 \over n}\sum _{i}x_{i}} , while the stddev is σ ≡ 1 n ∑ i ( x i − x ¯ ) 2 {\displaystyle \sigma \equiv {\sqrt {{1 \over n}\sum _{i}\left(x_{i}-{\bar {x}}\right)^{2}}}} . When examining a large quantity of data, one often uses a histogram, which shows the counts of data samples falling into a prechosen set of intervals (or bins). When plotted, often as bar graphs, it visually indicates how often each data value occurs. Task Using your language's random number routine, generate real numbers in the range of [0, 1]. It doesn't matter if you chose to use open or closed range. Create 100 of such numbers (i.e. sample size 100) and calculate their mean and stddev. Do so for sample size of 1,000 and 10,000, maybe even higher if you feel like. Show a histogram of any of these sets. Do you notice some patterns about the standard deviation? Extra Sometimes so much data need to be processed that it's impossible to keep all of them at once. Can you calculate the mean, stddev and histogram of a trillion numbers? (You don't really need to do a trillion numbers, just show how it can be done.) Hint For a finite population with equal probabilities at all points, one can derive: ( x − x ¯ ) 2 ¯ = x 2 ¯ − x ¯ 2 {\displaystyle {\overline {(x-{\overline {x}})^{2}}}={\overline {x^{2}}}-{\overline {x}}^{2}} Or, more verbosely: 1 N ∑ i = 1 N ( x i − x ¯ ) 2 = 1 N ( ∑ i = 1 N x i 2 ) − x ¯ 2 . {\displaystyle {\frac {1}{N}}\sum _{i=1}^{N}(x_{i}-{\overline {x}})^{2}={\frac {1}{N}}\left(\sum _{i=1}^{N}x_{i}^{2}\right)-{\overline {x}}^{2}.} See also Statistics/Normal distribution Tasks for calculating statistical measures in one go moving (sliding window) moving (cumulative) Mean Arithmetic Statistics/Basic Averages/Arithmetic mean Averages/Pythagorean means Averages/Simple moving average Geometric Averages/Pythagorean means Harmonic Averages/Pythagorean means Quadratic Averages/Root mean square Circular Averages/Mean angle Averages/Mean time of day Median Averages/Median Mode Averages/Mode Standard deviation Statistics/Basic Cumulative standard deviation
#MATLAB_.2F_Octave
MATLAB / Octave
% Initialize N = 0; S=0; S2 = 0; binlist = 0:.1:1; h = zeros(1,length(binlist)); % initialize histogram   % read data and perform computation while (1) % read next sample x if (no_data_available) break; end; N = N + 1; S = S + x; S2= S2+ x*x; ix= sum(x < binlist); h(ix) = h(ix)+1; end   % generate output m = S/N; % mean sd = sqrt(S2/N-mean*mean); % standard deviation bar(binlist,h)
http://rosettacode.org/wiki/Statistics/Basic
Statistics/Basic
Statistics is all about large groups of numbers. When talking about a set of sampled data, most frequently used is their mean value and standard deviation (stddev). If you have set of data x i {\displaystyle x_{i}} where i = 1 , 2 , … , n {\displaystyle i=1,2,\ldots ,n\,\!} , the mean is x ¯ ≡ 1 n ∑ i x i {\displaystyle {\bar {x}}\equiv {1 \over n}\sum _{i}x_{i}} , while the stddev is σ ≡ 1 n ∑ i ( x i − x ¯ ) 2 {\displaystyle \sigma \equiv {\sqrt {{1 \over n}\sum _{i}\left(x_{i}-{\bar {x}}\right)^{2}}}} . When examining a large quantity of data, one often uses a histogram, which shows the counts of data samples falling into a prechosen set of intervals (or bins). When plotted, often as bar graphs, it visually indicates how often each data value occurs. Task Using your language's random number routine, generate real numbers in the range of [0, 1]. It doesn't matter if you chose to use open or closed range. Create 100 of such numbers (i.e. sample size 100) and calculate their mean and stddev. Do so for sample size of 1,000 and 10,000, maybe even higher if you feel like. Show a histogram of any of these sets. Do you notice some patterns about the standard deviation? Extra Sometimes so much data need to be processed that it's impossible to keep all of them at once. Can you calculate the mean, stddev and histogram of a trillion numbers? (You don't really need to do a trillion numbers, just show how it can be done.) Hint For a finite population with equal probabilities at all points, one can derive: ( x − x ¯ ) 2 ¯ = x 2 ¯ − x ¯ 2 {\displaystyle {\overline {(x-{\overline {x}})^{2}}}={\overline {x^{2}}}-{\overline {x}}^{2}} Or, more verbosely: 1 N ∑ i = 1 N ( x i − x ¯ ) 2 = 1 N ( ∑ i = 1 N x i 2 ) − x ¯ 2 . {\displaystyle {\frac {1}{N}}\sum _{i=1}^{N}(x_{i}-{\overline {x}})^{2}={\frac {1}{N}}\left(\sum _{i=1}^{N}x_{i}^{2}\right)-{\overline {x}}^{2}.} See also Statistics/Normal distribution Tasks for calculating statistical measures in one go moving (sliding window) moving (cumulative) Mean Arithmetic Statistics/Basic Averages/Arithmetic mean Averages/Pythagorean means Averages/Simple moving average Geometric Averages/Pythagorean means Harmonic Averages/Pythagorean means Quadratic Averages/Root mean square Circular Averages/Mean angle Averages/Mean time of day Median Averages/Median Mode Averages/Mode Standard deviation Statistics/Basic Cumulative standard deviation
#MiniScript
MiniScript
Stats = {} Stats.count = 0 Stats.sum = 0 Stats.sumOfSquares = 0 Stats.histo = null   Stats.add = function(x) self.count = self.count + 1 self.sum = self.sum + x self.sumOfSquares = self.sumOfSquares + x*x bin = floor(x*10) if not self.histo then self.histo = [0]*10 self.histo[bin] = self.histo[bin] + 1 end function   Stats.mean = function() return self.sum / self.count end function   Stats.stddev = function() m = self.sum / self.count return sqrt(self.sumOfSquares / self.count - m*m) end function   Stats.histogram = function() for i in self.histo.indexes print "0." + i + ": " + "=" * (self.histo[i]/self.count * 200) end for end function   for sampleSize in [100, 1000, 10000] print "Samples: " + sampleSize st = new Stats for i in range(sampleSize) st.add rnd end for print "Mean: " + st.mean + " Standard Deviation: " + st.stddev st.histogram end for
http://rosettacode.org/wiki/Square-free_integers
Square-free integers
Task Write a function to test if a number is   square-free. A   square-free   is an integer which is divisible by no perfect square other than   1   (unity). For this task, only positive square-free numbers will be used. Show here (on this page) all square-free integers (in a horizontal format) that are between:   1   ───►   145     (inclusive)   1 trillion   ───►   1 trillion + 145     (inclusive) (One trillion = 1,000,000,000,000) Show here (on this page) the count of square-free integers from:   1   ───►   one hundred     (inclusive)   1   ───►   one thousand     (inclusive)   1   ───►   ten thousand     (inclusive)   1   ───►   one hundred thousand     (inclusive)   1   ───►   one million     (inclusive) See also   the Wikipedia entry:   square-free integer
#Rust
Rust
fn square_free(mut n: usize) -> bool { if n & 3 == 0 { return false; } let mut p: usize = 3; while p * p <= n { let mut count = 0; while n % p == 0 { count += 1; if count > 1 { return false; } n /= p; } p += 2; } true }   fn print_square_free_numbers(from: usize, to: usize) { println!("Square-free numbers between {} and {}:", from, to); let mut line = String::new(); for i in from..=to { if square_free(i) { if !line.is_empty() { line.push_str(" "); } line.push_str(&i.to_string()); if line.len() >= 80 { println!("{}", line); line.clear(); } } } if !line.is_empty() { println!("{}", line); } }   fn print_square_free_count(from: usize, to: usize) { let mut count = 0; for i in from..=to { if square_free(i) { count += 1; } } println!( "Number of square-free numbers between {} and {}: {}", from, to, count ) }   fn main() { print_square_free_numbers(1, 145); print_square_free_numbers(1000000000000, 1000000000145); let mut n: usize = 100; while n <= 1000000 { print_square_free_count(1, n); n *= 10; } }
http://rosettacode.org/wiki/Square-free_integers
Square-free integers
Task Write a function to test if a number is   square-free. A   square-free   is an integer which is divisible by no perfect square other than   1   (unity). For this task, only positive square-free numbers will be used. Show here (on this page) all square-free integers (in a horizontal format) that are between:   1   ───►   145     (inclusive)   1 trillion   ───►   1 trillion + 145     (inclusive) (One trillion = 1,000,000,000,000) Show here (on this page) the count of square-free integers from:   1   ───►   one hundred     (inclusive)   1   ───►   one thousand     (inclusive)   1   ───►   ten thousand     (inclusive)   1   ───►   one hundred thousand     (inclusive)   1   ───►   one million     (inclusive) See also   the Wikipedia entry:   square-free integer
#Scala
Scala
import spire.math.SafeLong import spire.implicits._   import scala.annotation.tailrec   object SquareFreeNums { def main(args: Array[String]): Unit = { println( s"""|1 - 145: |${formatTable(sqrFree.takeWhile(_ <= 145).toVector, 10)} | |1T - 1T+145: |${formatTable(sqrFreeInit(1000000000000L).takeWhile(_ <= 1000000000145L).toVector, 6)} | |Square-Free Counts... |100: ${sqrFree.takeWhile(_ <= 100).length} |1000: ${sqrFree.takeWhile(_ <= 1000).length} |10000: ${sqrFree.takeWhile(_ <= 10000).length} |100000: ${sqrFree.takeWhile(_ <= 100000).length} |1000000: ${sqrFree.takeWhile(_ <= 1000000).length} |""".stripMargin) }   def chkSqr(num: SafeLong): Boolean = !LazyList.iterate(SafeLong(2))(_ + 1).map(_.pow(2)).takeWhile(_ <= num).exists(num%_ == 0) def sqrFreeInit(init: SafeLong): LazyList[SafeLong] = LazyList.iterate(init)(_ + 1).filter(chkSqr) def sqrFree: LazyList[SafeLong] = sqrFreeInit(1)   def formatTable(lst: Vector[SafeLong], rlen: Int): String = { @tailrec def fHelper(ac: Vector[String], src: Vector[String]): String = { if(src.nonEmpty) fHelper(ac :+ src.take(rlen).mkString, src.drop(rlen)) else ac.mkString("\n") }   val maxLen = lst.map(n => f"${n.toBigInt}%,d".length).max val formatted = lst.map(n => s"%,${maxLen + 2}d".format(n.toBigInt))   fHelper(Vector[String](), formatted) } }
http://rosettacode.org/wiki/Stem-and-leaf_plot
Stem-and-leaf plot
Create a well-formatted stem-and-leaf plot from the following data set, where the leaves are the last digits: 12 127 28 42 39 113 42 18 44 118 44 37 113 124 37 48 127 36 29 31 125 139 131 115 105 132 104 123 35 113 122 42 117 119 58 109 23 105 63 27 44 105 99 41 128 121 116 125 32 61 37 127 29 113 121 58 114 126 53 114 96 25 109 7 31 141 46 13 27 43 117 116 27 7 68 40 31 115 124 42 128 52 71 118 117 38 27 106 33 117 116 111 40 119 47 105 57 122 109 124 115 43 120 43 27 27 18 28 48 125 107 114 34 133 45 120 30 127 31 116 146 The primary intent of this task is the presentation of information. It is acceptable to hardcode the data set or characteristics of it (such as what the stems are) in the example, insofar as it is impractical to make the example generic to any data set. For example, in a computation-less language like HTML the data set may be entirely prearranged within the example; the interesting characteristics are how the proper visual formatting is arranged. If possible, the output should not be a bitmap image. Monospaced plain text is acceptable, but do better if you can. It may be a window, i.e. not a file. Note: If you wish to try multiple data sets, you might try this generator.
#REXX
REXX
/*REXX program displays a stem and leaf plot of any non-negative numbers [can include 0]*/ parse arg @ /* [↓] Not specified? Then use default*/ if @='' then @=12 127 28 42 39 113 42 18 44 118 44 37 113 124 37 48 127 36 29 31 125 139, 131 115 105 132 104 123 35 113 122 42 117 119 58 109 23 105 63 27 44 105 99 41 128 121, 116 125 32 61 37 127 29 113 121 58 114 126 53 114 96 25 109 7 31 141 46 13 27 43 117, 116 27 7 68 40 31 115 124 42 128 52 71 118 117 38 27 106 33 117 116 111 40 119 47 105, 57 122 109 124 115 43 120 43 27 27 18 28 48 125 107 114 34 133 45 120 30 127 31 116 146 #.=; bot=.; top=. /* [↑] define all #. elements as null.*/ do j=1 for words(@); y=word(@, j) /*◄─── process each number in the list.*/ if \datatype(y,"N") then do; say '***error*** item' j "isn't numeric:" y; exit; end if y<0 then do; say '***error*** item' j "is negative:" y; exit; end n=format(y, , 0) / 1 /*normalize the numbers (not malformed)*/ stem=word(left(n, length(n) -1) 0, 1) /*obtain stem (1st digits) from number.*/ parse var n '' -1 leaf; _=stem * sign(n) /* " leaf (last digit) " " */ if bot==. then do; bot=_; top=_; end /*handle the first case for TOP and BOT*/ bot=min(bot, _); top=max(top, _) /*obtain the minimum and maximum so far*/ #.stem.leaf= #.stem.leaf leaf /*construct sorted stem-and-leaf entry.*/ end /*j*/   w=max(length(min), length(max) ) + 1 /*W: used to right justify the output.*/ /* [↓] display the stem-and-leaf plot.*/ do k=bot to top; $= /*$: is the output string, a plot line*/ do m=0 for 10; $=$ #.k.m /*build a line for the stem─&─leaf plot*/ end /*m*/ say right(k, w) '║' space($) /*display a line of stem─and─leaf plot.*/ end /*k*/ /*stick a fork in it, we're all done. */
http://rosettacode.org/wiki/Split_a_character_string_based_on_change_of_character
Split a character string based on change of character
Task Split a (character) string into comma (plus a blank) delimited strings based on a change of character   (left to right). Show the output here   (use the 1st example below). Blanks should be treated as any other character   (except they are problematic to display clearly).   The same applies to commas. For instance, the string: gHHH5YY++///\ should be split and show: g, HHH, 5, YY, ++, ///, \ Other tasks related to string operations: Metrics Array length String length Copy a string Empty string  (assignment) Counting Word frequency Letter frequency Jewels and stones I before E except after C Bioinformatics/base count Count occurrences of a substring Count how many vowels and consonants occur in a string Remove/replace XXXX redacted Conjugate a Latin verb Remove vowels from a string String interpolation (included) Strip block comments Strip comments from a string Strip a set of characters from a string Strip whitespace from a string -- top and tail Strip control codes and extended characters from a string Anagrams/Derangements/shuffling Word wheel ABC problem Sattolo cycle Knuth shuffle Ordered words Superpermutation minimisation Textonyms (using a phone text pad) Anagrams Anagrams/Deranged anagrams Permutations/Derangements Find/Search/Determine ABC words Odd words Word ladder Semordnilap Word search Wordiff  (game) String matching Tea cup rim text Alternade words Changeable words State name puzzle String comparison Unique characters Unique characters in each string Extract file extension Levenshtein distance Palindrome detection Common list elements Longest common suffix Longest common prefix Compare a list of strings Longest common substring Find common directory path Words from neighbour ones Change e letters to i in words Non-continuous subsequences Longest common subsequence Longest palindromic substrings Longest increasing subsequence Words containing "the" substring Sum of the digits of n is substring of n Determine if a string is numeric Determine if a string is collapsible Determine if a string is squeezable Determine if a string has all unique characters Determine if a string has all the same characters Longest substrings without repeating characters Find words which contains all the vowels Find words which contains most consonants Find words which contains more than 3 vowels Find words which first and last three letters are equals Find words which odd letters are consonants and even letters are vowels or vice_versa Formatting Substring Rep-string Word wrap String case Align columns Literals/String Repeat a string Brace expansion Brace expansion using ranges Reverse a string Phrase reversals Comma quibbling Special characters String concatenation Substring/Top and tail Commatizing numbers Reverse words in a string Suffixation of decimal numbers Long literals, with continuations Numerical and alphabetical suffixes Abbreviations, easy Abbreviations, simple Abbreviations, automatic Song lyrics/poems/Mad Libs/phrases Mad Libs Magic 8-ball 99 Bottles of Beer The Name Game (a song) The Old lady swallowed a fly The Twelve Days of Christmas Tokenize Text between Tokenize a string Word break problem Tokenize a string with escaping Split a character string based on change of character Sequences Show ASCII table De Bruijn sequences Self-referential sequences Generate lower case ASCII alphabet
#C.23
C#
using System; using System.Linq; using System.Collections.Generic;   public class Program { string s = @"gHHH5YY++///\"; Console.WriteLine(s.RunLengthSplit().Delimit(", ")); }   public static class Extensions { public static IEnumerable<string> RunLengthSplit(this string source) { using (var enumerator = source.GetEnumerator()) { if (!enumerator.MoveNext()) yield break; char previous = enumerator.Current; int count = 1; while (enumerator.MoveNext()) { if (previous == enumerator.Current) { count++; } else { yield return new string(Enumerable.Repeat(previous, count).ToArray()); previous = enumerator.Current; count = 1; } } yield return new string(Enumerable.Repeat(previous, count).ToArray()); } }   public static string Delimit<T>(this IEnumerable<T> source, string separator = "") => string.Join(separator ?? "", source); }
http://rosettacode.org/wiki/Stern-Brocot_sequence
Stern-Brocot sequence
For this task, the Stern-Brocot sequence is to be generated by an algorithm similar to that employed in generating the Fibonacci sequence. The first and second members of the sequence are both 1:     1, 1 Start by considering the second member of the sequence Sum the considered member of the sequence and its precedent, (1 + 1) = 2, and append it to the end of the sequence:     1, 1, 2 Append the considered member of the sequence to the end of the sequence:     1, 1, 2, 1 Consider the next member of the series, (the third member i.e. 2) GOTO 3         ─── Expanding another loop we get: ─── Sum the considered member of the sequence and its precedent, (2 + 1) = 3, and append it to the end of the sequence:     1, 1, 2, 1, 3 Append the considered member of the sequence to the end of the sequence:     1, 1, 2, 1, 3, 2 Consider the next member of the series, (the fourth member i.e. 1) The task is to Create a function/method/subroutine/procedure/... to generate the Stern-Brocot sequence of integers using the method outlined above. Show the first fifteen members of the sequence. (This should be: 1, 1, 2, 1, 3, 2, 3, 1, 4, 3, 5, 2, 5, 3, 4) Show the (1-based) index of where the numbers 1-to-10 first appears in the sequence. Show the (1-based) index of where the number 100 first appears in the sequence. Check that the greatest common divisor of all the two consecutive members of the series up to the 1000th member, is always one. Show your output on this page. Related tasks   Fusc sequence.   Continued fraction/Arithmetic Ref Infinite Fractions - Numberphile (Video). Trees, Teeth, and Time: The mathematics of clock making. A002487 The On-Line Encyclopedia of Integer Sequences.
#PicoLisp
PicoLisp
(de nmbr (N) (let (A 1 B 0) (while (gt0 N) (if (bit? 1 N) (inc 'B A) (inc 'A B) ) (setq N (>> 1 N)) ) B ) )   (let Lst (mapcar nmbr (range 1 2000)) (println 'First-15: (head 15 Lst)) (for N 10 (println 'First N 'found 'at: (index N Lst)) ) (println 'First 100 'found 'at: (index 100 Lst)) (for (L Lst (cdr L) (cddr L)) (test 1 (gcd (car L) (cadr L))) ) (prinl "All consecutive pairs are relative prime!") )
http://rosettacode.org/wiki/Spinning_rod_animation/Text
Spinning rod animation/Text
Task An animation with the following frames in the following order (if certain characters aren't available or can't be used correctly in the programming language, alternate characters can replace any of these frames) must animate with a delay of 0.25 seconds between each frame, with the previous frame being cleared before the next frame appears:   |   /   - or ─   \ A stand-alone version that loops and/or a version that doesn't loop can be made. These examples can also be converted into a system used in game development which is called on a HUD or GUI element requiring it to be called each frame to output the text, and advance the frame when the frame delay has passed. You can also use alternate text such as the . animation ( . | .. | ... | .. | repeat from . ) or the logic can be updated to include a ping/pong style where the frames advance forward, reach the end and then play backwards and when they reach the beginning they start over ( technically, you'd stop one frame prior to prevent the first frame playing twice, or write it another way ). There are many different ways you can incorporate text animations. Here are a few text ideas - each frame is in quotes. If you can think of any, add them to this page! There are 2 examples for several of these; the first is the base animation with only unique sets of characters. The second consists of the primary set from a - n and doubled, minus the first and last element ie: We only want the center. This way an animation can play forwards, and then in reverse ( ping ponging ) without having to code that feature. For the animations with 3 elements, we only add 1, the center. with 4, it becomes 6. with 10, it becomes 18. We don't need the second option for some of the animations if they connect smoothly, when animated, back to the first element. ... doesn't connect with . cleanly - there is a large leap. The rotating pipe meets the first perfectly so it isn't necessary, etc..   Dots - Option A requires ping / pong enabled script. Option B just adds the elements in the center.   '.', '..', '...'   '.', '..', '...', '..'   Pipe - This has the uniform sideways pipe instead of a hyphen to prevent non-uniform sizing.   '|', '/', '─', '\'   Stars - Option A requires ping / pong enabled script. Option B just adds the elements from the center.   '⁎', '⁑', '⁂'   '⁎', '⁑', '⁂', '⁑'   Clock - These need to be ordered. I haven't done this yet as the application I was testing the system in doesn't support these wingdings / icons. But this would look quite nice and you could set it up to go forward, or backward during an undo process, etc..   '🕛', '🕧', '🕐', '🕜', '🕑', '🕝', '🕒', '🕞', '🕓', '🕟', '🕔', '🕠', '🕕', '🕖', '🕗', '🕘', '🕙', '🕚', '🕡', '🕢', '🕣', '🕤', '🕥', '🕦'   Arrows:   '⬍', '⬈', '➞', '⬊', '⬍', '⬋', '⬅', '⬉'   Bird - This looks decent but may be missing something.   '︷', '︵', '︹', '︺', '︶', '︸'   '︷', '︵', '︹', '︺', '︶', '︸', '︶', '︺', '︹', '︵'   Plants - This isn't quite complete   '☘', '❀', '❁'   '☘', '❀', '❁', '❀'   Eclipse - From Raku Throbber post author   '🌑', '🌒', '🌓', '🌔', '🌕', '🌖', '🌗', '🌘'
#C_Shell
C Shell
while 1 foreach rod ('|' '/' '-' '\') printf '  %s\r' $rod; sleep 0.25 end end
http://rosettacode.org/wiki/Spinning_rod_animation/Text
Spinning rod animation/Text
Task An animation with the following frames in the following order (if certain characters aren't available or can't be used correctly in the programming language, alternate characters can replace any of these frames) must animate with a delay of 0.25 seconds between each frame, with the previous frame being cleared before the next frame appears:   |   /   - or ─   \ A stand-alone version that loops and/or a version that doesn't loop can be made. These examples can also be converted into a system used in game development which is called on a HUD or GUI element requiring it to be called each frame to output the text, and advance the frame when the frame delay has passed. You can also use alternate text such as the . animation ( . | .. | ... | .. | repeat from . ) or the logic can be updated to include a ping/pong style where the frames advance forward, reach the end and then play backwards and when they reach the beginning they start over ( technically, you'd stop one frame prior to prevent the first frame playing twice, or write it another way ). There are many different ways you can incorporate text animations. Here are a few text ideas - each frame is in quotes. If you can think of any, add them to this page! There are 2 examples for several of these; the first is the base animation with only unique sets of characters. The second consists of the primary set from a - n and doubled, minus the first and last element ie: We only want the center. This way an animation can play forwards, and then in reverse ( ping ponging ) without having to code that feature. For the animations with 3 elements, we only add 1, the center. with 4, it becomes 6. with 10, it becomes 18. We don't need the second option for some of the animations if they connect smoothly, when animated, back to the first element. ... doesn't connect with . cleanly - there is a large leap. The rotating pipe meets the first perfectly so it isn't necessary, etc..   Dots - Option A requires ping / pong enabled script. Option B just adds the elements in the center.   '.', '..', '...'   '.', '..', '...', '..'   Pipe - This has the uniform sideways pipe instead of a hyphen to prevent non-uniform sizing.   '|', '/', '─', '\'   Stars - Option A requires ping / pong enabled script. Option B just adds the elements from the center.   '⁎', '⁑', '⁂'   '⁎', '⁑', '⁂', '⁑'   Clock - These need to be ordered. I haven't done this yet as the application I was testing the system in doesn't support these wingdings / icons. But this would look quite nice and you could set it up to go forward, or backward during an undo process, etc..   '🕛', '🕧', '🕐', '🕜', '🕑', '🕝', '🕒', '🕞', '🕓', '🕟', '🕔', '🕠', '🕕', '🕖', '🕗', '🕘', '🕙', '🕚', '🕡', '🕢', '🕣', '🕤', '🕥', '🕦'   Arrows:   '⬍', '⬈', '➞', '⬊', '⬍', '⬋', '⬅', '⬉'   Bird - This looks decent but may be missing something.   '︷', '︵', '︹', '︺', '︶', '︸'   '︷', '︵', '︹', '︺', '︶', '︸', '︶', '︺', '︹', '︵'   Plants - This isn't quite complete   '☘', '❀', '❁'   '☘', '❀', '❁', '❀'   Eclipse - From Raku Throbber post author   '🌑', '🌒', '🌓', '🌔', '🌕', '🌖', '🌗', '🌘'
#Cach.C3.A9_ObjectScript
Caché ObjectScript
SPINROD  ; spin 10 times with quarter-second wait for i = 1:1:10 { for j = 1:1:4 { set x = $case(j,1:"|",2:"/",3:"-",:"\")    ; $char(8) backspaces on the terminal write $char(8)_x hang 0.25 } } quit