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http://rosettacode.org/wiki/Catalan_numbers/Pascal%27s_triangle
Catalan numbers/Pascal's triangle
Task Print out the first   15   Catalan numbers by extracting them from Pascal's triangle. See   Catalan Numbers and the Pascal Triangle.     This method enables calculation of Catalan Numbers using only addition and subtraction.   Catalan's Triangle for a Number Triangle that generates Catalan Numbers using onl...
#Ruby
Ruby
def catalan(num) t = [0, 1] #grows as needed (1..num).map do |i| i.downto(1){|j| t[j] += t[j-1]} t[i+1] = t[i] (i+1).downto(1) {|j| t[j] += t[j-1]} t[i+1] - t[i] end end   p catalan(15)
http://rosettacode.org/wiki/Catalan_numbers/Pascal%27s_triangle
Catalan numbers/Pascal's triangle
Task Print out the first   15   Catalan numbers by extracting them from Pascal's triangle. See   Catalan Numbers and the Pascal Triangle.     This method enables calculation of Catalan Numbers using only addition and subtraction.   Catalan's Triangle for a Number Triangle that generates Catalan Numbers using onl...
#Run_BASIC
Run BASIC
n = 15 dim t(n+2) t(1) = 1 for i = 1 to n for j = i to 1 step -1  : t(j) = t(j) + t(j-1): next j t(i+1) = t(i) for j = i+1 to 1 step -1: t(j) = t(j) + t(j-1 : next j print t(i+1) - t(i);" "; next i
http://rosettacode.org/wiki/Case-sensitivity_of_identifiers
Case-sensitivity of identifiers
Three dogs (Are there three dogs or one dog?) is a code snippet used to illustrate the lettercase sensitivity of the programming language. For a case-sensitive language, the identifiers dog, Dog and DOG are all different and we should get the output: The three dogs are named Benjamin, Samba and Bernie. For a language...
#PARI.2FGP
PARI/GP
dog="Benjamin"; Dog="Samba"; DOG="Bernie"; printf("The three dogs are named %s, %s, and %s.", dog, Dog, DOG)
http://rosettacode.org/wiki/Case-sensitivity_of_identifiers
Case-sensitivity of identifiers
Three dogs (Are there three dogs or one dog?) is a code snippet used to illustrate the lettercase sensitivity of the programming language. For a case-sensitive language, the identifiers dog, Dog and DOG are all different and we should get the output: The three dogs are named Benjamin, Samba and Bernie. For a language...
#Pascal
Pascal
# These variables are all different $dog='Benjamin'; $Dog='Samba'; $DOG='Bernie'; print "The three dogs are named $dog, $Dog, and $DOG \n"
http://rosettacode.org/wiki/Cartesian_product_of_two_or_more_lists
Cartesian product of two or more lists
Task Show one or more idiomatic ways of generating the Cartesian product of two arbitrary lists in your language. Demonstrate that your function/method correctly returns: {1, 2} × {3, 4} = {(1, 3), (1, 4), (2, 3), (2, 4)} and, in contrast: {3, 4} × {1, 2} = {(3, 1), (3, 2), (4, 1), (4, 2)} Also demonstrate, using y...
#Kotlin
Kotlin
// version 1.1.2   fun flattenList(nestList: List<Any>): List<Any> { val flatList = mutableListOf<Any>()   fun flatten(list: List<Any>) { for (e in list) { if (e !is List<*>) flatList.add(e) else @Suppress("UNCHECKED_CAST") flatten(...
http://rosettacode.org/wiki/Catalan_numbers
Catalan numbers
Catalan numbers You are encouraged to solve this task according to the task description, using any language you may know. Catalan numbers are a sequence of numbers which can be defined directly: C n = 1 n + 1 ( 2 n n ) = ( 2 n ) ! ( n + 1 ) ! n !  for  n ≥ 0. {\displaystyle C...
#Crystal
Crystal
require "big" require "benchmark"   def factorial(n : BigInt) : BigInt (1..n).product(1.to_big_i) end   def factorial(n : Int32 | Int64) factorial n.to_big_i end   # direct   def catalan_direct(n) factorial(2*n) / (factorial(n + 1) * factorial(n)) end   # recursive   def catalan_rec1(n) return 1 if n == 0 (0....
http://rosettacode.org/wiki/Call_an_object_method
Call an object method
In object-oriented programming a method is a function associated with a particular class or object. In most forms of object oriented implementations methods can be static, associated with the class itself; or instance, associated with an instance of a class. Show how to call a static or class method, and an instance m...
#LFE
LFE
(defmodule aquarium (export all))   (defun fish-class (species) " This is the constructor that will be used most often, only requiring that one pass a 'species' string.   When the children are not defined, simply use an empty list. " (fish-class species ()))   (defun fish-class (species children) " Thi...
http://rosettacode.org/wiki/Call_a_function_in_a_shared_library
Call a function in a shared library
Show how to call a function in a shared library (without dynamically linking to it at compile-time). In particular, show how to call the shared library function if the library is available, otherwise use an internal equivalent function. This is a special case of calling a foreign language function where the focus is c...
#Kotlin
Kotlin
#include <stdio.h> /* gcc -shared -fPIC -nostartfiles fakeimglib.c -o fakeimglib.so */ int openimage(const char *s) { static int handle = 100; fprintf(stderr, "opening %s\n", s); return handle++; }
http://rosettacode.org/wiki/Call_a_function_in_a_shared_library
Call a function in a shared library
Show how to call a function in a shared library (without dynamically linking to it at compile-time). In particular, show how to call the shared library function if the library is available, otherwise use an internal equivalent function. This is a special case of calling a foreign language function where the focus is c...
#Lingo
Lingo
-- calculate CRC-32 checksum str = "The quick brown fox jumps over the lazy dog"   -- is shared library (in Director called "Xtra", a DLL in windows, a sharedLib in -- OS X) available? if ilk(xtra("Crypto"))=#xtra then   -- use shared library cx = xtra("Crypto").new() crc = cx.cx_crc32_string(str)   else   -- o...
http://rosettacode.org/wiki/Calculating_the_value_of_e
Calculating the value of e
Task Calculate the value of   e. (e   is also known as   Euler's number   and   Napier's constant.) See details: Calculating the value of e
#ALGOL_68
ALGOL 68
BEGIN # calculate an approximation to e # LONG REAL epsilon = 1.0e-15; LONG INT fact := 1; LONG REAL e := 2; LONG INT n := 2; WHILE LONG REAL e0 = e; fact *:= n; n +:= 1; e +:= 1.0 / fact; ABS ( e - e0 ) >= epsilon DO SKIP OD; p...
http://rosettacode.org/wiki/Call_a_foreign-language_function
Call a foreign-language function
Task Show how a foreign language function can be called from the language. As an example, consider calling functions defined in the C language. Create a string containing "Hello World!" of the string type typical to the language. Pass the string content to C's strdup. The content can be copied if necessary. Get the...
#C.2B.2B
C++
FUNCTION MULTIPLY(X, Y) DOUBLE PRECISION MULTIPLY, X, Y
http://rosettacode.org/wiki/Call_a_foreign-language_function
Call a foreign-language function
Task Show how a foreign language function can be called from the language. As an example, consider calling functions defined in the C language. Create a string containing "Hello World!" of the string type typical to the language. Pass the string content to C's strdup. The content can be copied if necessary. Get the...
#Clojure
Clojure
(JNIDemo/callStrdup "Hello World!")
http://rosettacode.org/wiki/Call_a_function
Call a function
Task Demonstrate the different syntax and semantics provided for calling a function. This may include:   Calling a function that requires no arguments   Calling a function with a fixed number of arguments   Calling a function with optional arguments   Calling a function with a variable number of arguments   C...
#ALGOL_68
ALGOL 68
# Note functions and subroutines are called procedures (or PROCs) in Algol 68 # # A function called without arguments: # f; # Algol 68 does not expect an empty parameter list for calls with no arguments, "f()" is a syntax error # # A function with a fixed number of arguments: # f(1, x);   # variable number of arguments...
http://rosettacode.org/wiki/Cantor_set
Cantor set
Task Draw a Cantor set. See details at this Wikipedia webpage:   Cantor set
#FreeBASIC
FreeBASIC
  Const ancho = 81 Const alto = 5 Dim Shared intervalo(alto, ancho) As String Dim As Integer i, j   Sub Cantor() Dim As Integer i, j For i = 0 To alto - 1 For j = 0 To ancho - 1 intervalo(i, j) = Chr(254) Next j Next i End Sub   Sub ConjCantor(inicio As Integer, longitud As Integ...
http://rosettacode.org/wiki/Calkin-Wilf_sequence
Calkin-Wilf sequence
The Calkin-Wilf sequence contains every nonnegative rational number exactly once. It can be calculated recursively as follows: a1 = 1 an+1 = 1/(2⌊an⌋+1-an) for n > 1 Task part 1 Show on this page terms 1 through 20 of the Calkin-Wilf sequence. To avoid floating point error, you may want to ...
#Little_Man_Computer
Little Man Computer
  // Little Man Computer, for Rosetta Code. // Displays terms of Calkin-Wilf sequence up to the given index. // The chosen algorithm calculates the i-th term directly from i // (i.e. not using any previous terms). input INP // get number of terms from user BRZ exit // exit if 0 STA max_i ...
http://rosettacode.org/wiki/Calkin-Wilf_sequence
Calkin-Wilf sequence
The Calkin-Wilf sequence contains every nonnegative rational number exactly once. It can be calculated recursively as follows: a1 = 1 an+1 = 1/(2⌊an⌋+1-an) for n > 1 Task part 1 Show on this page terms 1 through 20 of the Calkin-Wilf sequence. To avoid floating point error, you may want to ...
#Mathematica_.2F_Wolfram_Language
Mathematica / Wolfram Language
ClearAll[a] a[1] = 1; a[n_?(GreaterThan[1])] := a[n] = 1/(2 Floor[a[n - 1]] + 1 - a[n - 1]) a /@ Range[20]   ClearAll[a] a = 1; n = 1; Dynamic[n] done = False; While[! done, a = 1/(2 Floor[a] + 1 - a); n++; If[a == 83116/51639, Print[n]; Break[]; ] ]
http://rosettacode.org/wiki/Casting_out_nines
Casting out nines
Task   (in three parts) Part 1 Write a procedure (say c o 9 ( x ) {\displaystyle {\mathit {co9}}(x)} ) which implements Casting Out Nines as described by returning the checksum for x {\displaystyle x} . Demonstrate the procedure using the examples given there, or others you may consider lucky. Par...
#Phix
Phix
with javascript_semantics procedure co9(integer start, integer base, integer lim, sequence kaprekars) integer c1=0, c2=0 sequence s = {} for k=start to lim do c1 += 1 if mod(k,base-1)=mod(k*k,base-1) then c2 += 1 s &= k end if end for strin...
http://rosettacode.org/wiki/Carmichael_3_strong_pseudoprimes
Carmichael 3 strong pseudoprimes
A lot of composite numbers can be separated from primes by Fermat's Little Theorem, but there are some that completely confound it. The   Miller Rabin Test   uses a combination of Fermat's Little Theorem and Chinese Division Theorem to overcome this. The purpose of this task is to investigate such numbers using a met...
#PARI.2FGP
PARI/GP
f(p)={ my(v=List(),q,r); for(h=2,p-1, for(d=1,h+p-1, if((h+p)*(p-1)%d==0 && Mod(p,h)^2==-d && isprime(q=(p-1)*(h+p)/d+1) && isprime(r=p*q\h+1)&&q*r%(p-1)==1, listput(v,p*q*r) ) ) ); Set(v) }; forprime(p=3,67,v=f(p); for(i=1,#v,print1(v[i]", ")))
http://rosettacode.org/wiki/Catamorphism
Catamorphism
Reduce is a function or method that is used to take the values in an array or a list and apply a function to successive members of the list to produce (or reduce them to), a single value. Task Show how reduce (or foldl or foldr etc), work (or would be implemented) in your language. See also Wikipedia article: ...
#J
J
/
http://rosettacode.org/wiki/Catamorphism
Catamorphism
Reduce is a function or method that is used to take the values in an array or a list and apply a function to successive members of the list to produce (or reduce them to), a single value. Task Show how reduce (or foldl or foldr etc), work (or would be implemented) in your language. See also Wikipedia article: ...
#Java
Java
import java.util.stream.Stream;   public class ReduceTask {   public static void main(String[] args) { System.out.println(Stream.of(1, 2, 3, 4, 5).mapToInt(i -> i).sum()); System.out.println(Stream.of(1, 2, 3, 4, 5).reduce(1, (a, b) -> a * b)); } }
http://rosettacode.org/wiki/Catalan_numbers/Pascal%27s_triangle
Catalan numbers/Pascal's triangle
Task Print out the first   15   Catalan numbers by extracting them from Pascal's triangle. See   Catalan Numbers and the Pascal Triangle.     This method enables calculation of Catalan Numbers using only addition and subtraction.   Catalan's Triangle for a Number Triangle that generates Catalan Numbers using onl...
#Rust
Rust
    fn main() {let n=15usize; let mut t= [0; 17]; t[1]=1; let mut j:usize; for i in 1..n+1 { j=i; loop{ if j==1{ break; } t[j]=t[j] + t[j-1]; j=j-1; } t[i+1]= t[i]; j=i+1; loop{ if j==1{ break; } t[j]=t[j] + t[j-1]; j=j-1; } print!("{} ", t[i+1]-t[i]); } }  
http://rosettacode.org/wiki/Catalan_numbers/Pascal%27s_triangle
Catalan numbers/Pascal's triangle
Task Print out the first   15   Catalan numbers by extracting them from Pascal's triangle. See   Catalan Numbers and the Pascal Triangle.     This method enables calculation of Catalan Numbers using only addition and subtraction.   Catalan's Triangle for a Number Triangle that generates Catalan Numbers using onl...
#Scala
Scala
def catalan(n: Int): Int = if (n <= 1) 1 else (0 until n).map(i => catalan(i) * catalan(n - i - 1)).sum   (1 to 15).map(catalan(_))
http://rosettacode.org/wiki/Case-sensitivity_of_identifiers
Case-sensitivity of identifiers
Three dogs (Are there three dogs or one dog?) is a code snippet used to illustrate the lettercase sensitivity of the programming language. For a case-sensitive language, the identifiers dog, Dog and DOG are all different and we should get the output: The three dogs are named Benjamin, Samba and Bernie. For a language...
#Perl
Perl
# These variables are all different $dog='Benjamin'; $Dog='Samba'; $DOG='Bernie'; print "The three dogs are named $dog, $Dog, and $DOG \n"
http://rosettacode.org/wiki/Case-sensitivity_of_identifiers
Case-sensitivity of identifiers
Three dogs (Are there three dogs or one dog?) is a code snippet used to illustrate the lettercase sensitivity of the programming language. For a case-sensitive language, the identifiers dog, Dog and DOG are all different and we should get the output: The three dogs are named Benjamin, Samba and Bernie. For a language...
#Phix
Phix
sequence dog = "Benjamin", Dog = "Samba", DOG = "Bernie" printf( 1, "The three dogs are named %s, %s and %s\n", {dog, Dog, DOG} )
http://rosettacode.org/wiki/Cartesian_product_of_two_or_more_lists
Cartesian product of two or more lists
Task Show one or more idiomatic ways of generating the Cartesian product of two arbitrary lists in your language. Demonstrate that your function/method correctly returns: {1, 2} × {3, 4} = {(1, 3), (1, 4), (2, 3), (2, 4)} and, in contrast: {3, 4} × {1, 2} = {(3, 1), (3, 2), (4, 1), (4, 2)} Also demonstrate, using y...
#langur
langur
writeln X([1, 2], [3, 4]) == [[1, 3], [1, 4], [2, 3], [2, 4]] writeln X([3, 4], [1, 2]) == [[3, 1], [3, 2], [4, 1], [4, 2]] writeln X([1, 2], []) == [] writeln X([], [1, 2]) == [] writeln()   writeln X [1776, 1789], [7, 12], [4, 14, 23], [0, 1] writeln()   writeln X [1, 2, 3], [30], [500, 100] writeln()   writeln X [1,...
http://rosettacode.org/wiki/Catalan_numbers
Catalan numbers
Catalan numbers You are encouraged to solve this task according to the task description, using any language you may know. Catalan numbers are a sequence of numbers which can be defined directly: C n = 1 n + 1 ( 2 n n ) = ( 2 n ) ! ( n + 1 ) ! n !  for  n ≥ 0. {\displaystyle C...
#D
D
import std.stdio, std.algorithm, std.bigint, std.functional, std.range;   auto product(R)(R r) { return reduce!q{a * b}(1.BigInt, r); }   const cats1 = sequence!((a, n) => iota(n+2, 2*n+1).product / iota(1, n+1).product)(1);   BigInt cats2a(in uint n) { alias mcats2a = memoize!cats2a; if (n == 0) return 1.BigIn...
http://rosettacode.org/wiki/Call_an_object_method
Call an object method
In object-oriented programming a method is a function associated with a particular class or object. In most forms of object oriented implementations methods can be static, associated with the class itself; or instance, associated with an instance of a class. Show how to call a static or class method, and an instance m...
#Lingo
Lingo
-- call static method script("MyClass").foo()   -- call instance method obj = script("MyClass").new() obj.foo()
http://rosettacode.org/wiki/Call_an_object_method
Call an object method
In object-oriented programming a method is a function associated with a particular class or object. In most forms of object oriented implementations methods can be static, associated with the class itself; or instance, associated with an instance of a class. Show how to call a static or class method, and an instance m...
#Logtalk
Logtalk
  % avoid infinite metaclass regression by % making the metaclass an instance of itself :- object(metaclass, instantiates(metaclass)).   :- public(me/1). me(Me) :- self(Me).   :- end_object.  
http://rosettacode.org/wiki/Call_an_object_method
Call an object method
In object-oriented programming a method is a function associated with a particular class or object. In most forms of object oriented implementations methods can be static, associated with the class itself; or instance, associated with an instance of a class. Show how to call a static or class method, and an instance m...
#Lua
Lua
local object = { name = "foo", func = function (self) print(self.name) end }   object:func() -- with : sugar object.func(object) -- without : sugar
http://rosettacode.org/wiki/Call_a_function_in_a_shared_library
Call a function in a shared library
Show how to call a function in a shared library (without dynamically linking to it at compile-time). In particular, show how to call the shared library function if the library is available, otherwise use an internal equivalent function. This is a special case of calling a foreign language function where the focus is c...
#Lua
Lua
alien = require("alien") msgbox = alien.User32.MessageBoxA msgbox:types({ ret='long', abi='stdcall', 'long', 'string', 'string', 'long' }) retval = msgbox(0, 'Please press Yes, No or Cancel', 'The Title', 3) print(retval) --> 6, 7 or 2
http://rosettacode.org/wiki/Call_a_function_in_a_shared_library
Call a function in a shared library
Show how to call a function in a shared library (without dynamically linking to it at compile-time). In particular, show how to call the shared library function if the library is available, otherwise use an internal equivalent function. This is a special case of calling a foreign language function where the focus is c...
#Maple
Maple
> cfloor := define_external( floor, s::float[8], RETURN::float[8], LIB = "libm.so" ): > cfloor( 2.3 ); 2.
http://rosettacode.org/wiki/Calculating_the_value_of_e
Calculating the value of e
Task Calculate the value of   e. (e   is also known as   Euler's number   and   Napier's constant.) See details: Calculating the value of e
#AppleScript
AppleScript
--------------- CALCULATING THE VALUE OF E ---------------- on run   sum(map(inverse, ¬ scanl(product, 1, enumFromTo(1, 16))))   --> 2.718281828459   end run   -- inverse :: Float -> Float on inverse(x) 1 / x end inverse   -- product :: Float -> Float -> Float on product(a, b) a * b end product ...
http://rosettacode.org/wiki/Calendar_-_for_%22REAL%22_programmers
Calendar - for "REAL" programmers
Task Provide an algorithm as per the Calendar task, except the entire code for the algorithm must be presented   entirely without lowercase. Also - as per many 1969 era line printers - format the calendar to nicely fill a page that is 132 characters wide. (Hint: manually convert the code from the Calendar task to al...
#360_Assembly
360 Assembly
* CALENDAR FOR REAL PROGRAMMERS 05/03/2017 CALENDAR CSECT USING CALENDAR,R13 BASE REGISTER B 72(R15) SKIP MY SAVEAREA DC 17F'0' MY SAVEAREA STM R14,R12,12(R13) SAVE CALLER'S REGISTERS ST R13,4(R15) LINK BACK...
http://rosettacode.org/wiki/Call_a_foreign-language_function
Call a foreign-language function
Task Show how a foreign language function can be called from the language. As an example, consider calling functions defined in the C language. Create a string containing "Hello World!" of the string type typical to the language. Pass the string content to C's strdup. The content can be copied if necessary. Get the...
#CMake
CMake
cmake_minimum_required(VERSION 2.6) project("outer project" C)   # Compile cmDIV. try_compile( compiled_div # result variable ${CMAKE_BINARY_DIR}/div # bindir ${CMAKE_SOURCE_DIR}/div # srcDir div) # projectName if(NOT compiled_div) message(FATAL_ERROR "Fai...
http://rosettacode.org/wiki/Call_a_foreign-language_function
Call a foreign-language function
Task Show how a foreign language function can be called from the language. As an example, consider calling functions defined in the C language. Create a string containing "Hello World!" of the string type typical to the language. Pass the string content to C's strdup. The content can be copied if necessary. Get the...
#COBOL
COBOL
identification division. program-id. foreign.   data division. working-storage section. 01 hello. 05 value z"Hello, world". 01 duplicate usage pointer. 01 buffer pic x(16) based. 01 storage pic x(16).   procedure division. cal...
http://rosettacode.org/wiki/Call_a_function
Call a function
Task Demonstrate the different syntax and semantics provided for calling a function. This may include:   Calling a function that requires no arguments   Calling a function with a fixed number of arguments   Calling a function with optional arguments   Calling a function with a variable number of arguments   C...
#ALGOL_W
ALGOL W
% Note, in Algol W, functions are called procedures % % calling a function with no parameters: % f;   % calling a function with a fixed number of parameters % g( 1, 2.3, "4" );   % Algol W does not support optional parameters in general, however constructors for records can % % be called wither with parameters (one for...
http://rosettacode.org/wiki/Cantor_set
Cantor set
Task Draw a Cantor set. See details at this Wikipedia webpage:   Cantor set
#Go
Go
package main   import "fmt"   const ( width = 81 height = 5 )   var lines [height][width]byte   func init() { for i := 0; i < height; i++ { for j := 0; j < width; j++ { lines[i][j] = '*' } } }   func cantor(start, len, index int) { seg := len / 3 if seg == 0 { ...
http://rosettacode.org/wiki/Calkin-Wilf_sequence
Calkin-Wilf sequence
The Calkin-Wilf sequence contains every nonnegative rational number exactly once. It can be calculated recursively as follows: a1 = 1 an+1 = 1/(2⌊an⌋+1-an) for n > 1 Task part 1 Show on this page terms 1 through 20 of the Calkin-Wilf sequence. To avoid floating point error, you may want to ...
#Nim
Nim
type Fraction = tuple[num, den: uint32]   iterator calkinWilf(): Fraction = ## Yield the successive values of the sequence. var n, d = 1u32 yield (n, d) while true: n = 2 * (n div d) * d + d - n swap n, d yield (n, d)   proc `$`(fract: Fraction): string = ## Return the representation of a fraction...
http://rosettacode.org/wiki/Calkin-Wilf_sequence
Calkin-Wilf sequence
The Calkin-Wilf sequence contains every nonnegative rational number exactly once. It can be calculated recursively as follows: a1 = 1 an+1 = 1/(2⌊an⌋+1-an) for n > 1 Task part 1 Show on this page terms 1 through 20 of the Calkin-Wilf sequence. To avoid floating point error, you may want to ...
#Pascal
Pascal
  program CWTerms;   {------------------------------------------------------------------------------- FreePascal command-line program. Calculates the Calkin-Wilf sequence up to the specified maximum index, where the first term 1/1 has index 1. Command line format is: CWTerms <max_index>   The program demonstrates 3 a...
http://rosettacode.org/wiki/Casting_out_nines
Casting out nines
Task   (in three parts) Part 1 Write a procedure (say c o 9 ( x ) {\displaystyle {\mathit {co9}}(x)} ) which implements Casting Out Nines as described by returning the checksum for x {\displaystyle x} . Demonstrate the procedure using the examples given there, or others you may consider lucky. Par...
#Picat
Picat
go => Base10 = 10, foreach(N in [2,6]) casting_out_nines(Base10,N) end, nl, Base16 = 16, foreach(N in [2,6]) casting_out_nines(Base16,N) end, nl.   casting_out_nines(Base,N) => println([base=Base,n=N]), C1 = 0, C2 = 0, Ks = [], LimitN = 3, foreach(K in 1..Base**N-1) C1 := C1 + ...
http://rosettacode.org/wiki/Casting_out_nines
Casting out nines
Task   (in three parts) Part 1 Write a procedure (say c o 9 ( x ) {\displaystyle {\mathit {co9}}(x)} ) which implements Casting Out Nines as described by returning the checksum for x {\displaystyle x} . Demonstrate the procedure using the examples given there, or others you may consider lucky. Par...
#PicoLisp
PicoLisp
(de kaprekar (N) (let L (cons 0 (chop (* N N))) (for ((I . R) (cdr L) R (cdr R)) (NIL (gt0 (format R))) (T (= N (+ @ (format (head I L)))) N) ) ) )   (de co9 (N) (until (> 9 (setq N (sum '((N) (unless (= "9" N) (format N))) (chop N) ...
http://rosettacode.org/wiki/Carmichael_3_strong_pseudoprimes
Carmichael 3 strong pseudoprimes
A lot of composite numbers can be separated from primes by Fermat's Little Theorem, but there are some that completely confound it. The   Miller Rabin Test   uses a combination of Fermat's Little Theorem and Chinese Division Theorem to overcome this. The purpose of this task is to investigate such numbers using a met...
#Perl
Perl
use ntheory qw/forprimes is_prime vecprod/;   forprimes { my $p = $_; for my $h3 (2 .. $p-1) { my $ph3 = $p + $h3; for my $d (1 .. $ph3-1) { # Jameseon procedure page 6 next if ((-$p*$p) % $h3) != ($d % $h3); next if (($p-1)*$ph3) % $d; my $q = 1 + ($p-1)*$ph3 / $...
http://rosettacode.org/wiki/Catamorphism
Catamorphism
Reduce is a function or method that is used to take the values in an array or a list and apply a function to successive members of the list to produce (or reduce them to), a single value. Task Show how reduce (or foldl or foldr etc), work (or would be implemented) in your language. See also Wikipedia article: ...
#JavaScript
JavaScript
var nums = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10];   function add(a, b) { return a + b; }   var summation = nums.reduce(add);   function mul(a, b) { return a * b; }   var product = nums.reduce(mul, 1);   var concatenation = nums.reduce(add, "");   console.log(summation, product, concatenation);
http://rosettacode.org/wiki/Catalan_numbers/Pascal%27s_triangle
Catalan numbers/Pascal's triangle
Task Print out the first   15   Catalan numbers by extracting them from Pascal's triangle. See   Catalan Numbers and the Pascal Triangle.     This method enables calculation of Catalan Numbers using only addition and subtraction.   Catalan's Triangle for a Number Triangle that generates Catalan Numbers using onl...
#Scilab
Scilab
n=15 t=zeros(1,n+2) t(1)=1 for i=1:n for j=i+1:-1:2 t(j)=t(j)+t(j-1) end t(i+1)=t(i) for j=i+2:-1:2 t(j)=t(j)+t(j-1) end disp(t(i+1)-t(i)) end
http://rosettacode.org/wiki/Catalan_numbers/Pascal%27s_triangle
Catalan numbers/Pascal's triangle
Task Print out the first   15   Catalan numbers by extracting them from Pascal's triangle. See   Catalan Numbers and the Pascal Triangle.     This method enables calculation of Catalan Numbers using only addition and subtraction.   Catalan's Triangle for a Number Triangle that generates Catalan Numbers using onl...
#Seed7
Seed7
$ include "seed7_05.s7i";   const proc: main is func local const integer: N is 15; var array integer: t is [] (1) & N times 0; var integer: i is 0; var integer: j is 0; begin for i range 1 to N do for j range i downto 2 do t[j] +:= t[j - 1]; end for; t[i + 1] := t[i]; ...
http://rosettacode.org/wiki/Case-sensitivity_of_identifiers
Case-sensitivity of identifiers
Three dogs (Are there three dogs or one dog?) is a code snippet used to illustrate the lettercase sensitivity of the programming language. For a case-sensitive language, the identifiers dog, Dog and DOG are all different and we should get the output: The three dogs are named Benjamin, Samba and Bernie. For a language...
#PicoLisp
PicoLisp
(let (dog "Benjamin" Dog "Samba" DOG "Bernie") (prinl "The three dogs are named " dog ", " Dog " and " DOG) )
http://rosettacode.org/wiki/Case-sensitivity_of_identifiers
Case-sensitivity of identifiers
Three dogs (Are there three dogs or one dog?) is a code snippet used to illustrate the lettercase sensitivity of the programming language. For a case-sensitive language, the identifiers dog, Dog and DOG are all different and we should get the output: The three dogs are named Benjamin, Samba and Bernie. For a language...
#PL.2FI
PL/I
*process or(!) source xref attributes macro options; /********************************************************************* * Program to show that PL/I is case-insensitive * 28.05.2013 Walter Pachl *********************************************************************/ case: proc options(main); Dcl dog Char(20) Va...
http://rosettacode.org/wiki/Cartesian_product_of_two_or_more_lists
Cartesian product of two or more lists
Task Show one or more idiomatic ways of generating the Cartesian product of two arbitrary lists in your language. Demonstrate that your function/method correctly returns: {1, 2} × {3, 4} = {(1, 3), (1, 4), (2, 3), (2, 4)} and, in contrast: {3, 4} × {1, 2} = {(3, 1), (3, 2), (4, 1), (4, 2)} Also demonstrate, using y...
#Lua
Lua
local pk,upk = table.pack, table.unpack local getn = function(t)return #t end local const = function(k)return function(e) return k end end local function attachIdx(f)-- one-time-off function modifier local idx = 0 return function(e)idx=idx+1 ; return f(e,idx)end end   local function reduce(t,acc,f...
http://rosettacode.org/wiki/Catalan_numbers
Catalan numbers
Catalan numbers You are encouraged to solve this task according to the task description, using any language you may know. Catalan numbers are a sequence of numbers which can be defined directly: C n = 1 n + 1 ( 2 n n ) = ( 2 n ) ! ( n + 1 ) ! n !  for  n ≥ 0. {\displaystyle C...
#Delphi
Delphi
func catalan n . ans . if n = 0 ans = 1 else call catalan n - 1 h ans = 2 * (2 * n - 1) * h div (1 + n) . . for i range 15 call catalan i h print h .
http://rosettacode.org/wiki/Call_an_object_method
Call an object method
In object-oriented programming a method is a function associated with a particular class or object. In most forms of object oriented implementations methods can be static, associated with the class itself; or instance, associated with an instance of a class. Show how to call a static or class method, and an instance m...
#M2000_Interpreter
M2000 Interpreter
  Module CheckIt { \\ A class definition is a function which return a Group \\ We can make groups and we can alter them using Group statement \\ Groups may have other groups inside   Group Alfa { Private: myvalue=100 Public: Group SetValue { ...
http://rosettacode.org/wiki/Call_an_object_method
Call an object method
In object-oriented programming a method is a function associated with a particular class or object. In most forms of object oriented implementations methods can be static, associated with the class itself; or instance, associated with an instance of a class. Show how to call a static or class method, and an instance m...
#Maple
Maple
# Static Method( obj, other, arg );
http://rosettacode.org/wiki/Call_an_object_method
Call an object method
In object-oriented programming a method is a function associated with a particular class or object. In most forms of object oriented implementations methods can be static, associated with the class itself; or instance, associated with an instance of a class. Show how to call a static or class method, and an instance m...
#MiniScript
MiniScript
Dog = {} Dog.name = "" Dog.help = function() print "This class represents dogs." end function Dog.speak = function() print self.name + " says Woof!" end function   fido = new Dog fido.name = "Fido"   Dog.help // calling a "class method" fido.speak // calling an "instance method"
http://rosettacode.org/wiki/Call_a_function_in_a_shared_library
Call a function in a shared library
Show how to call a function in a shared library (without dynamically linking to it at compile-time). In particular, show how to call the shared library function if the library is available, otherwise use an internal equivalent function. This is a special case of calling a foreign language function where the focus is c...
#Mathematica.2FWolfram_Language
Mathematica/Wolfram Language
Needs["NETLink`"]; externalFloor = DefineDLLFunction["floor", "msvcrt.dll", "double", { "double" }]; externalFloor[4.2] -> 4.
http://rosettacode.org/wiki/Call_a_function_in_a_shared_library
Call a function in a shared library
Show how to call a function in a shared library (without dynamically linking to it at compile-time). In particular, show how to call the shared library function if the library is available, otherwise use an internal equivalent function. This is a special case of calling a foreign language function where the focus is c...
#Nim
Nim
proc openimage(s: cstring): cint {.importc, dynlib: "./fakeimglib.so".}   echo openimage("foo") echo openimage("bar") echo openimage("baz")
http://rosettacode.org/wiki/Calculating_the_value_of_e
Calculating the value of e
Task Calculate the value of   e. (e   is also known as   Euler's number   and   Napier's constant.) See details: Calculating the value of e
#Applesoft_BASIC
Applesoft BASIC
?"E = "EXP(1)
http://rosettacode.org/wiki/Calculating_the_value_of_e
Calculating the value of e
Task Calculate the value of   e. (e   is also known as   Euler's number   and   Napier's constant.) See details: Calculating the value of e
#Arturo
Arturo
fact: 1 e: 2.0 e0: 0.0 n: 2 lim: 0.0000000000000010   while [lim =< abs e-e0][ e0: e fact: fact * n n: n + 1 e: e + 1.0 / fact ]   print e
http://rosettacode.org/wiki/Calendar_-_for_%22REAL%22_programmers
Calendar - for "REAL" programmers
Task Provide an algorithm as per the Calendar task, except the entire code for the algorithm must be presented   entirely without lowercase. Also - as per many 1969 era line printers - format the calendar to nicely fill a page that is 132 characters wide. (Hint: manually convert the code from the Calendar task to al...
#Ada
Ada
WITH PRINTABLE_CALENDAR;   PROCEDURE REAL_CAL IS   C: PRINTABLE_CALENDAR.CALENDAR := PRINTABLE_CALENDAR.INIT_132 ((WEEKDAY_REP => "MO TU WE TH FR SA SO", MONTH_REP => (" JANUARY ", " FEBRUARY ", " MARCH ", " APRIL ", ...
http://rosettacode.org/wiki/Call_a_foreign-language_function
Call a foreign-language function
Task Show how a foreign language function can be called from the language. As an example, consider calling functions defined in the C language. Create a string containing "Hello World!" of the string type typical to the language. Pass the string content to C's strdup. The content can be copied if necessary. Get the...
#Common_Lisp
Common Lisp
CL-USER> (let* ((string "Hello World!") (c-string (cffi:foreign-funcall "strdup" :string string :pointer))) (unwind-protect (write-line (cffi:foreign-string-to-lisp c-string)) (cffi:foreign-funcall "free" :pointer c-string :void)) (values)) Hello World! ; No value
http://rosettacode.org/wiki/Call_a_function
Call a function
Task Demonstrate the different syntax and semantics provided for calling a function. This may include:   Calling a function that requires no arguments   Calling a function with a fixed number of arguments   Calling a function with optional arguments   Calling a function with a variable number of arguments   C...
#AntLang
AntLang
2*2+9
http://rosettacode.org/wiki/Cantor_set
Cantor set
Task Draw a Cantor set. See details at this Wikipedia webpage:   Cantor set
#Groovy
Groovy
class App { private static final int WIDTH = 81 private static final int HEIGHT = 5   private static char[][] lines static { lines = new char[HEIGHT][WIDTH] for (int i = 0; i < HEIGHT; i++) { for (int j = 0; j < WIDTH; j++) { lines[i][j] = '*' } ...
http://rosettacode.org/wiki/Calkin-Wilf_sequence
Calkin-Wilf sequence
The Calkin-Wilf sequence contains every nonnegative rational number exactly once. It can be calculated recursively as follows: a1 = 1 an+1 = 1/(2⌊an⌋+1-an) for n > 1 Task part 1 Show on this page terms 1 through 20 of the Calkin-Wilf sequence. To avoid floating point error, you may want to ...
#Perl
Perl
use strict; use warnings; use feature qw(say state);   use ntheory 'fromdigits'; use List::Lazy 'lazy_list'; use Math::AnyNum ':overload';   my $calkin_wilf = lazy_list { state @cw = 1; push @cw, 1 / ( (2 * int $cw[0]) + 1 - $cw[0] ); shift @cw };   sub r2cf { my($num, $den) = @_; my($n, @cf); my $f = sub ...
http://rosettacode.org/wiki/Casting_out_nines
Casting out nines
Task   (in three parts) Part 1 Write a procedure (say c o 9 ( x ) {\displaystyle {\mathit {co9}}(x)} ) which implements Casting Out Nines as described by returning the checksum for x {\displaystyle x} . Demonstrate the procedure using the examples given there, or others you may consider lucky. Par...
#Python
Python
# Casting out Nines # # Nigel Galloway: June 27th., 2012, # def CastOut(Base=10, Start=1, End=999999): ran = [y for y in range(Base-1) if y%(Base-1) == (y*y)%(Base-1)] x,y = divmod(Start, Base-1) while True: for n in ran: k = (Base-1)*x + n if k < Start: continue if k > End: ...
http://rosettacode.org/wiki/Carmichael_3_strong_pseudoprimes
Carmichael 3 strong pseudoprimes
A lot of composite numbers can be separated from primes by Fermat's Little Theorem, but there are some that completely confound it. The   Miller Rabin Test   uses a combination of Fermat's Little Theorem and Chinese Division Theorem to overcome this. The purpose of this task is to investigate such numbers using a met...
#Phix
Phix
with javascript_semantics integer count = 0 for p1=1 to 61 do if is_prime(p1) then for h3=1 to p1 do atom h3p1 = h3 + p1 for d=1 to h3p1-1 do if mod(h3p1*(p1-1),d)=0 and mod(-(p1*p1),h3) = mod(d,h3) then atom p2 := 1 + floor(((p1-1)...
http://rosettacode.org/wiki/Catamorphism
Catamorphism
Reduce is a function or method that is used to take the values in an array or a list and apply a function to successive members of the list to produce (or reduce them to), a single value. Task Show how reduce (or foldl or foldr etc), work (or would be implemented) in your language. See also Wikipedia article: ...
#jq
jq
def factorial: reduce range(2;.+1) as $i (1; . * $i);
http://rosettacode.org/wiki/Catamorphism
Catamorphism
Reduce is a function or method that is used to take the values in an array or a list and apply a function to successive members of the list to produce (or reduce them to), a single value. Task Show how reduce (or foldl or foldr etc), work (or would be implemented) in your language. See also Wikipedia article: ...
#Julia
Julia
println([reduce(op, 1:5) for op in [+, -, *]]) println([foldl(op, 1:5) for op in [+, -, *]]) println([foldr(op, 1:5) for op in [+, -, *]])
http://rosettacode.org/wiki/Catalan_numbers/Pascal%27s_triangle
Catalan numbers/Pascal's triangle
Task Print out the first   15   Catalan numbers by extracting them from Pascal's triangle. See   Catalan Numbers and the Pascal Triangle.     This method enables calculation of Catalan Numbers using only addition and subtraction.   Catalan's Triangle for a Number Triangle that generates Catalan Numbers using onl...
#Sidef
Sidef
func catalan(num) { var t = [0, 1] (1..num).map { |i| flip(^i ).each {|j| t[j+1] += t[j] } t[i+1] = t[i] flip(^i.inc).each {|j| t[j+1] += t[j] } t[i+1] - t[i] } }   say catalan(15).join(' ')
http://rosettacode.org/wiki/Catalan_numbers/Pascal%27s_triangle
Catalan numbers/Pascal's triangle
Task Print out the first   15   Catalan numbers by extracting them from Pascal's triangle. See   Catalan Numbers and the Pascal Triangle.     This method enables calculation of Catalan Numbers using only addition and subtraction.   Catalan's Triangle for a Number Triangle that generates Catalan Numbers using onl...
#smart_BASIC
smart BASIC
PRINT "Catalan Numbers from Pascal's Triangle"!PRINT x = 15 DIM t(x+2) t(1) = 1 FOR n = 1 TO x FOR m = n TO 1 STEP -1 t(m) = t(m) + t(m-1) NEXT m t(n+1) = t(n) FOR m = n+1 TO 1 STEP -1 t(m) = t(m) + t(m-1) NEXT m PRINT n,"#######":t(n+1) - t(n) NEXT n
http://rosettacode.org/wiki/Case-sensitivity_of_identifiers
Case-sensitivity of identifiers
Three dogs (Are there three dogs or one dog?) is a code snippet used to illustrate the lettercase sensitivity of the programming language. For a case-sensitive language, the identifiers dog, Dog and DOG are all different and we should get the output: The three dogs are named Benjamin, Samba and Bernie. For a language...
#Plain_English
Plain English
To run: Start up. Put "Benjamin" into a DOG string. Put "Samba" into the Dog string. Put "Bernie" into the dog string. Write "There is just one dog named " then the DOG on the console. Wait for the escape key. Shut down.
http://rosettacode.org/wiki/Case-sensitivity_of_identifiers
Case-sensitivity of identifiers
Three dogs (Are there three dogs or one dog?) is a code snippet used to illustrate the lettercase sensitivity of the programming language. For a case-sensitive language, the identifiers dog, Dog and DOG are all different and we should get the output: The three dogs are named Benjamin, Samba and Bernie. For a language...
#PowerShell
PowerShell
  $dog = "Benjamin" $Dog = "Samba" $DOG = "Bernie"   "There is just one dog named {0}." -f $dOg  
http://rosettacode.org/wiki/Case-sensitivity_of_identifiers
Case-sensitivity of identifiers
Three dogs (Are there three dogs or one dog?) is a code snippet used to illustrate the lettercase sensitivity of the programming language. For a case-sensitive language, the identifiers dog, Dog and DOG are all different and we should get the output: The three dogs are named Benjamin, Samba and Bernie. For a language...
#Prolog
Prolog
three_dogs :- DoG = 'Benjamin', Dog = 'Samba', DOG = 'Bernie', format('The three dogs are named ~w, ~w and ~w.~n', [DoG, Dog, DOG]).  
http://rosettacode.org/wiki/Cartesian_product_of_two_or_more_lists
Cartesian product of two or more lists
Task Show one or more idiomatic ways of generating the Cartesian product of two arbitrary lists in your language. Demonstrate that your function/method correctly returns: {1, 2} × {3, 4} = {(1, 3), (1, 4), (2, 3), (2, 4)} and, in contrast: {3, 4} × {1, 2} = {(3, 1), (3, 2), (4, 1), (4, 2)} Also demonstrate, using y...
#Maple
Maple
  cartmulti := proc () local m, v; if [] in {args} then return []; else m := Iterator:-CartesianProduct(args); for v in m do printf("%{}a\n", v); end do; end if; end proc;  
http://rosettacode.org/wiki/Catalan_numbers
Catalan numbers
Catalan numbers You are encouraged to solve this task according to the task description, using any language you may know. Catalan numbers are a sequence of numbers which can be defined directly: C n = 1 n + 1 ( 2 n n ) = ( 2 n ) ! ( n + 1 ) ! n !  for  n ≥ 0. {\displaystyle C...
#EasyLang
EasyLang
func catalan n . ans . if n = 0 ans = 1 else call catalan n - 1 h ans = 2 * (2 * n - 1) * h div (1 + n) . . for i range 15 call catalan i h print h .
http://rosettacode.org/wiki/Call_an_object_method
Call an object method
In object-oriented programming a method is a function associated with a particular class or object. In most forms of object oriented implementations methods can be static, associated with the class itself; or instance, associated with an instance of a class. Show how to call a static or class method, and an instance m...
#Nanoquery
Nanoquery
class MyClass declare static id = 5 declare MyName   // constructor def MyClass(MyName) this.MyName = MyName end   // class method def getName() return this.MyName end   // static method def static getID() return id end end   // call the static method println MyClass.getID()   // instantiate a new MyCl...
http://rosettacode.org/wiki/Call_an_object_method
Call an object method
In object-oriented programming a method is a function associated with a particular class or object. In most forms of object oriented implementations methods can be static, associated with the class itself; or instance, associated with an instance of a class. Show how to call a static or class method, and an instance m...
#Nemerle
Nemerle
// Static MyClass.Method(someParameter);   // Instance myInstance.Method(someParameter);
http://rosettacode.org/wiki/Call_an_object_method
Call an object method
In object-oriented programming a method is a function associated with a particular class or object. In most forms of object oriented implementations methods can be static, associated with the class itself; or instance, associated with an instance of a class. Show how to call a static or class method, and an instance m...
#NetRexx
NetRexx
SomeClass.staticMethod()
http://rosettacode.org/wiki/Call_a_function_in_a_shared_library
Call a function in a shared library
Show how to call a function in a shared library (without dynamically linking to it at compile-time). In particular, show how to call the shared library function if the library is available, otherwise use an internal equivalent function. This is a special case of calling a foreign language function where the focus is c...
#OCaml
OCaml
open Dlffi   let get_int = function Int v -> v | _ -> failwith "get_int" let get_ptr = function Ptr v -> v | _ -> failwith "get_ptr" let get_float = function Float v -> v | _ -> failwith "get_float" let get_double = function Double v -> v | _ -> failwith "get_double" let get_string = function String v -> v | _ -> failw...
http://rosettacode.org/wiki/Calculating_the_value_of_e
Calculating the value of e
Task Calculate the value of   e. (e   is also known as   Euler's number   and   Napier's constant.) See details: Calculating the value of e
#Asymptote
Asymptote
real n, n1; real e1, e;   n = 1.0; n1 = 1.0; e1 = 0.0; e = 1.0;   while (e != e1){ e1 = e; e += (1.0 / n); n1 += 1; n *= n1; } write("The value of e = ", e);
http://rosettacode.org/wiki/Calendar_-_for_%22REAL%22_programmers
Calendar - for "REAL" programmers
Task Provide an algorithm as per the Calendar task, except the entire code for the algorithm must be presented   entirely without lowercase. Also - as per many 1969 era line printers - format the calendar to nicely fill a page that is 132 characters wide. (Hint: manually convert the code from the Calendar task to al...
#ALGOL_68
ALGOL 68
'PR' QUOTE 'PR'   'PROC' PRINT CALENDAR = ('INT' YEAR, PAGE WIDTH)'VOID': 'BEGIN'   ()'STRING' MONTH NAMES = ( "JANUARY","FEBRUARY","MARCH","APRIL","MAY","JUNE", "JULY","AUGUST","SEPTEMBER","OCTOBER","NOVEMBER","DECEMBER"), WEEKDAY NAMES = ("SU","MO","TU","WE","TH","FR","SA"); 'FORMAT' WEEKDAY FMT =...
http://rosettacode.org/wiki/Call_a_foreign-language_function
Call a foreign-language function
Task Show how a foreign language function can be called from the language. As an example, consider calling functions defined in the C language. Create a string containing "Hello World!" of the string type typical to the language. Pass the string content to C's strdup. The content can be copied if necessary. Get the...
#Crystal
Crystal
@[Link("c")] # name of library that is passed to linker. Not needed as libc is linked by stdlib. lib LibC fun free(ptr : Void*) : Void fun strdup(ptr : Char*) : Char* end   s1 = "Hello World!" p = LibC.strdup(s1) # returns Char* allocated by LibC s2 = String.new(p) LibC.free p # pointer can be freed as String.new(...
http://rosettacode.org/wiki/Call_a_foreign-language_function
Call a foreign-language function
Task Show how a foreign language function can be called from the language. As an example, consider calling functions defined in the C language. Create a string containing "Hello World!" of the string type typical to the language. Pass the string content to C's strdup. The content can be copied if necessary. Get the...
#D
D
import std.stdio: writeln; import std.string: toStringz; import std.conv: to;   extern(C) { char* strdup(in char* s1); void free(void* ptr); }   void main() { // We could use char* here (as in D string literals are // null-terminated) but we want to comply with the "of the // string type typical to ...
http://rosettacode.org/wiki/Call_a_function
Call a function
Task Demonstrate the different syntax and semantics provided for calling a function. This may include:   Calling a function that requires no arguments   Calling a function with a fixed number of arguments   Calling a function with optional arguments   Calling a function with a variable number of arguments   C...
#ARM_Assembly
ARM Assembly
    /* ARM assembly Raspberry PI */ /* program callfonct.s */   /* Constantes */ .equ STDOUT, 1 .equ WRITE, 4 .equ EXIT, 1   /***********************/ /* Initialized data */ /***********************/ .data szMessage: .asciz "Hello. \n" @ message szRetourLigne: .asciz "\n" szMessResult: .ascii "Res...
http://rosettacode.org/wiki/Cantor_set
Cantor set
Task Draw a Cantor set. See details at this Wikipedia webpage:   Cantor set
#Haskell
Haskell
-------------------------- CANTOR ------------------------   cantor :: [(Bool, Int)] -> [(Bool, Int)] cantor = concatMap go where go (bln, n) | bln && 1 < n = let m = quot n 3 in [(True, m), (False, m), (True, m)] | otherwise = [(bln, n)]   --------------------------- TEST -------...
http://rosettacode.org/wiki/Calkin-Wilf_sequence
Calkin-Wilf sequence
The Calkin-Wilf sequence contains every nonnegative rational number exactly once. It can be calculated recursively as follows: a1 = 1 an+1 = 1/(2⌊an⌋+1-an) for n > 1 Task part 1 Show on this page terms 1 through 20 of the Calkin-Wilf sequence. To avoid floating point error, you may want to ...
#Phix
Phix
with javascript_semantics requires("1.0.0") -- (new even() builtin) function calkin_wilf(integer len) sequence cw = repeat(0,len) integer n=0, d=1 for i=1 to len do {n,d} = {d,(floor(n/d)*2+1)*d-n} cw[i] = {n,d} end for return cw end function function odd_length(sequence cf) ...
http://rosettacode.org/wiki/Casting_out_nines
Casting out nines
Task   (in three parts) Part 1 Write a procedure (say c o 9 ( x ) {\displaystyle {\mathit {co9}}(x)} ) which implements Casting Out Nines as described by returning the checksum for x {\displaystyle x} . Demonstrate the procedure using the examples given there, or others you may consider lucky. Par...
#Quackery
Quackery
[ true unrot swap witheach [ over find over found not if [ dip not conclude ] ] drop ] is subset ( [ [ --> [ )   [ abs 0 swap [ 10 /mod rot + dup 8 > if [ 9 - ] swap dup 0 = until ] drop ] is co9 ( n --> n )   sa...
http://rosettacode.org/wiki/Casting_out_nines
Casting out nines
Task   (in three parts) Part 1 Write a procedure (say c o 9 ( x ) {\displaystyle {\mathit {co9}}(x)} ) which implements Casting Out Nines as described by returning the checksum for x {\displaystyle x} . Demonstrate the procedure using the examples given there, or others you may consider lucky. Par...
#Racket
Racket
#lang racket (require math)   (define (digits n) (map (compose1 string->number string) (string->list (number->string n))))   (define (cast-out-nines n) (with-modulus 9 (for/fold ([sum 0]) ([d (digits n)]) (mod+ sum d))))
http://rosettacode.org/wiki/Carmichael_3_strong_pseudoprimes
Carmichael 3 strong pseudoprimes
A lot of composite numbers can be separated from primes by Fermat's Little Theorem, but there are some that completely confound it. The   Miller Rabin Test   uses a combination of Fermat's Little Theorem and Chinese Division Theorem to overcome this. The purpose of this task is to investigate such numbers using a met...
#PicoLisp
PicoLisp
(de modulo (X Y) (% (+ Y (% X Y)) Y) )   (de prime? (N) (let D 0 (or (= N 2) (and (> N 1) (bit? 1 N) (for (D 3 T (+ D 2)) (T (> D (sqrt N)) T) (T (=0 (% N D)) NIL) ) ) ) ) )   (for P1 61 (when (prime? P1) (for (H3...
http://rosettacode.org/wiki/Carmichael_3_strong_pseudoprimes
Carmichael 3 strong pseudoprimes
A lot of composite numbers can be separated from primes by Fermat's Little Theorem, but there are some that completely confound it. The   Miller Rabin Test   uses a combination of Fermat's Little Theorem and Chinese Division Theorem to overcome this. The purpose of this task is to investigate such numbers using a met...
#PL.2FI
PL/I
Carmichael: procedure options (main, reorder); /* 24 January 2014 */ declare (Prime1, Prime2, Prime3, h3, d) fixed binary (31);   put ('Carmichael numbers are:');   do Prime1 = 1 to 61;   do h3 = 2 to Prime1;   d_loop: do d = 1 to h3+Prime1-1; if (mod((h3+Prime1)*(Prime1-1), d) = 0) & ...
http://rosettacode.org/wiki/Catamorphism
Catamorphism
Reduce is a function or method that is used to take the values in an array or a list and apply a function to successive members of the list to produce (or reduce them to), a single value. Task Show how reduce (or foldl or foldr etc), work (or would be implemented) in your language. See also Wikipedia article: ...
#Kotlin
Kotlin
fun main(args: Array<String>) { val a = intArrayOf(1, 2, 3, 4, 5) println("Array  : ${a.joinToString(", ")}") println("Sum  : ${a.reduce { x, y -> x + y }}") println("Difference  : ${a.reduce { x, y -> x - y }}") println("Product  : ${a.reduce { x, y -> x * y }}") println("Minimum...
http://rosettacode.org/wiki/Catalan_numbers/Pascal%27s_triangle
Catalan numbers/Pascal's triangle
Task Print out the first   15   Catalan numbers by extracting them from Pascal's triangle. See   Catalan Numbers and the Pascal Triangle.     This method enables calculation of Catalan Numbers using only addition and subtraction.   Catalan's Triangle for a Number Triangle that generates Catalan Numbers using onl...
#Tcl
Tcl
proc catalan n { set result {} array set t {0 0 1 1} for {set i 1} {[set k $i] <= $n} {incr i} { for {set j $i} {$j > 1} {} {incr t($j) $t([incr j -1])} set t([incr k]) $t($i) for {set j $k} {$j > 1} {} {incr t($j) $t([incr j -1])} lappend result [expr {$t($k) - $t($i)}] } return $result }   put...
http://rosettacode.org/wiki/Case-sensitivity_of_identifiers
Case-sensitivity of identifiers
Three dogs (Are there three dogs or one dog?) is a code snippet used to illustrate the lettercase sensitivity of the programming language. For a case-sensitive language, the identifiers dog, Dog and DOG are all different and we should get the output: The three dogs are named Benjamin, Samba and Bernie. For a language...
#PureBasic
PureBasic
dog$="Benjamin" Dog$="Samba" DOG$="Bernie" Debug "There is just one dog named "+dog$
http://rosettacode.org/wiki/Case-sensitivity_of_identifiers
Case-sensitivity of identifiers
Three dogs (Are there three dogs or one dog?) is a code snippet used to illustrate the lettercase sensitivity of the programming language. For a case-sensitive language, the identifiers dog, Dog and DOG are all different and we should get the output: The three dogs are named Benjamin, Samba and Bernie. For a language...
#Python
Python
>>> dog = 'Benjamin'; Dog = 'Samba'; DOG = 'Bernie' >>> print ('The three dogs are named ',dog,', ',Dog,', and ',DOG) The three dogs are named Benjamin , Samba , and Bernie >>>
http://rosettacode.org/wiki/Cartesian_product_of_two_or_more_lists
Cartesian product of two or more lists
Task Show one or more idiomatic ways of generating the Cartesian product of two arbitrary lists in your language. Demonstrate that your function/method correctly returns: {1, 2} × {3, 4} = {(1, 3), (1, 4), (2, 3), (2, 4)} and, in contrast: {3, 4} × {1, 2} = {(3, 1), (3, 2), (4, 1), (4, 2)} Also demonstrate, using y...
#Mathematica.2FWolfram_Language
Mathematica/Wolfram Language
cartesianProduct[args__] := Flatten[Outer[List, args], Length[{args}] - 1]
http://rosettacode.org/wiki/Catalan_numbers
Catalan numbers
Catalan numbers You are encouraged to solve this task according to the task description, using any language you may know. Catalan numbers are a sequence of numbers which can be defined directly: C n = 1 n + 1 ( 2 n n ) = ( 2 n ) ! ( n + 1 ) ! n !  for  n ≥ 0. {\displaystyle C...
#EchoLisp
EchoLisp
  (lib 'sequences) (lib 'bigint) (lib 'math)   ;; function definition (define (C1 n) (/ (factorial (* n 2)) (factorial (1+ n)) (factorial n))) (for ((i [1 .. 16])) (write (C1 i))) → 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845   ;; using a recursive procedure with memoization (define (C2...
http://rosettacode.org/wiki/Call_an_object_method
Call an object method
In object-oriented programming a method is a function associated with a particular class or object. In most forms of object oriented implementations methods can be static, associated with the class itself; or instance, associated with an instance of a class. Show how to call a static or class method, and an instance m...
#Nim
Nim
var x = @[1, 2, 3] add(x, 4) x.add(5)
http://rosettacode.org/wiki/Call_an_object_method
Call an object method
In object-oriented programming a method is a function associated with a particular class or object. In most forms of object oriented implementations methods can be static, associated with the class itself; or instance, associated with an instance of a class. Show how to call a static or class method, and an instance m...
#OASYS_Assembler
OASYS Assembler
+&GO
http://rosettacode.org/wiki/Call_an_object_method
Call an object method
In object-oriented programming a method is a function associated with a particular class or object. In most forms of object oriented implementations methods can be static, associated with the class itself; or instance, associated with an instance of a class. Show how to call a static or class method, and an instance m...
#Objeck
Objeck
  ClassName->some_function(); # call class function instance->some_method(); # call instance method
http://rosettacode.org/wiki/Call_a_function_in_a_shared_library
Call a function in a shared library
Show how to call a function in a shared library (without dynamically linking to it at compile-time). In particular, show how to call the shared library function if the library is available, otherwise use an internal equivalent function. This is a special case of calling a foreign language function where the focus is c...
#Ol
Ol
  (import (otus ffi))   (define self (load-dynamic-library #f)) (define strdup (self type-string "strdup" type-string))   (print (strdup "Hello World!"))  
http://rosettacode.org/wiki/Call_a_function_in_a_shared_library
Call a function in a shared library
Show how to call a function in a shared library (without dynamically linking to it at compile-time). In particular, show how to call the shared library function if the library is available, otherwise use an internal equivalent function. This is a special case of calling a foreign language function where the focus is c...
#OxygenBasic
OxygenBasic
  'Loading a shared library at run time and calling a function.   declare MessageBox(sys hWnd, String text,caption, sys utype)   sys user32 = LoadLibrary "user32.dll"   if user32 then @Messagebox = getProcAddress user32,"MessageBoxA"   if @MessageBox then MessageBox 0,"Hello","OxygenBasic",0   '...   FreeLibrary user32...
http://rosettacode.org/wiki/Burrows%E2%80%93Wheeler_transform
Burrows–Wheeler transform
This page uses content from Wikipedia. The original article was at Burrows–Wheeler_transform. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance) The Burrows–Wheeler transform (BWT, also called block-s...
#11l
11l
F bwt(String =s) ‘Apply Burrows-Wheeler transform to input string.’ assert("\002" !C s & "\003" !C s, ‘Input string cannot contain STX and ETX characters’) s = "\002"s"\003" V table = sorted((0 .< s.len).map(i -> @s[i..]‘’@s[0 .< i])) V last_column = table.map(row -> row[(len)-1..]) R last_column.join...
http://rosettacode.org/wiki/Calculating_the_value_of_e
Calculating the value of e
Task Calculate the value of   e. (e   is also known as   Euler's number   and   Napier's constant.) See details: Calculating the value of e
#AWK
AWK
  # syntax: GAWK -f CALCULATING_THE_VALUE_OF_E.AWK BEGIN { epsilon = 1.0e-15 fact = 1 e = 2.0 n = 2 do { e0 = e fact *= n++ e += 1.0 / fact } while (abs(e-e0) >= epsilon) printf("e=%.15f\n",e) exit(0) } function abs(x) { if (x >= 0) { return x } else { return -x } }