task_url stringlengths 30 116 | task_name stringlengths 2 86 | task_description stringlengths 0 14.4k | language_url stringlengths 2 53 | language_name stringlengths 1 52 | code stringlengths 0 61.9k |
|---|---|---|---|---|---|
http://rosettacode.org/wiki/Fibonacci_sequence | Fibonacci sequence | The Fibonacci sequence is a sequence Fn of natural numbers defined recursively:
F0 = 0
F1 = 1
Fn = Fn-1 + Fn-2, if n>1
Task
Write a function to generate the nth Fibonacci number.
Solutions can be iterative or recursive (though recursive solutions are generally considered too slow ... | #VBScript | VBScript | class generator
dim t1
dim t2
dim tn
dim cur_overflow
Private Sub Class_Initialize
cur_overflow = false
t1 = ccur(0)
t2 = ccur(1)
tn = ccur(t1 + t2)
end sub
public default property get generated
on error resume next
generated = ccur(tn)
if err.number <> 0 then
generated = cdbl(tn)
cur_... |
http://rosettacode.org/wiki/Equal_prime_and_composite_sums | Equal prime and composite sums | Suppose we have a sequence of prime sums, where each term Pn is the sum of the first n primes.
P = (2), (2 + 3), (2 + 3 + 5), (2 + 3 + 5 + 7), (2 + 3 + 5 + 7 + 11), ...
P = 2, 5, 10, 17, 28, etc.
Further; suppose we have a sequence of composite sums, where each term Cm is the sum of the first m composites.
C = (4... | #XPL0 | XPL0 | func IsPrime(N); \Return 'true' if N is prime
int N, I;
[if N <= 2 then return N = 2;
if (N&1) = 0 then \even >2\ return false;
for I:= 3 to sqrt(N) do
[if rem(N/I) = 0 then return false;
I:= I+1;
];
return true;
];
int Cnt, N, M, SumP, SumC, NumP, NumC;
[Cnt:= 0;
N:= 1; M:= 1;
NumP:= 2; NumC:= ... |
http://rosettacode.org/wiki/Entropy/Narcissist | Entropy/Narcissist |
Task
Write a computer program that computes and shows its own entropy.
Related Tasks
Fibonacci_word
Entropy
| #Ada | Ada | with Ada.Text_Io;
with Ada.Command_Line;
with Ada.Numerics.Elementary_Functions;
procedure Entropy is
use Ada.Text_Io;
type Hist_Type is array (Character) of Natural;
function Log_2 (V : Float) return Float is
use Ada.Numerics.Elementary_Functions;
begin
return Log (V) / Log (2.0);
end ... |
http://rosettacode.org/wiki/Ethiopian_multiplication | Ethiopian multiplication | Ethiopian multiplication is a method of multiplying integers using only addition, doubling, and halving.
Method:
Take two numbers to be multiplied and write them down at the top of two columns.
In the left-hand column repeatedly halve the last number, discarding any remainders, and write the result below the last ... | #ActionScript | ActionScript | function Divide(a:Number):Number {
return ((a-(a%2))/2);
}
function Multiply(a:Number):Number {
return (a *= 2);
}
function isEven(a:Number):Boolean {
if (a%2 == 0) {
return (true);
} else {
return (false);
}
}
function Ethiopian(left:Number, right:Number) {
var r:Number = 0;
trace(left+" "+right);
whil... |
http://rosettacode.org/wiki/Equilibrium_index | Equilibrium index | An equilibrium index of a sequence is an index into the sequence such that the sum of elements at lower indices is equal to the sum of elements at higher indices.
For example, in a sequence
A
{\displaystyle A}
:
A
0
=
−
7
{\displaystyle A_{0}=-7}
A
1
=
1
{\displaystyle A_{1}=1}
... | #ABAP | ABAP | REPORT equilibrium_index.
TYPES: y_i TYPE STANDARD TABLE OF i WITH EMPTY KEY.
cl_demo_output=>display( REDUCE y_i( LET sequences = VALUE y_i( ( -7 ) ( 1 ) ( 5 ) ( 2 ) ( -4 ) ( 3 ) ( 0 ) )
total_sum = REDUCE #( INIT sum = 0
... |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #Ada | Ada | with Ada.Environment_Variables; use Ada.Environment_Variables;
with Ada.Text_Io; use Ada.Text_Io;
procedure Print_Path is
begin
Put_Line("Path : " & Value("PATH"));
end Print_Path; |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #ALGOL_68 | ALGOL 68 | print((getenv("HOME"), new line)) |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #APL | APL |
⎕ENV 'HOME'
HOME /home/russtopia
|
http://rosettacode.org/wiki/Esthetic_numbers | Esthetic numbers | An esthetic number is a positive integer where every adjacent digit differs from its neighbour by 1.
E.G.
12 is an esthetic number. One and two differ by 1.
5654 is an esthetic number. Each digit is exactly 1 away from its neighbour.
890 is not an esthetic number. Nine and zero differ by 9.
These examples are n... | #J | J | isesthetic=: 10&$: :(1 */ .=2 |@-/\ #.inv)"0
gen=: {{r=.$k=.1 while.y>#r do. r=.r,k#~u k
k=.1+({:k)+i.2*#k end.y{.r}} |
http://rosettacode.org/wiki/Euler%27s_sum_of_powers_conjecture | Euler's sum of powers conjecture | There is a conjecture in mathematics that held for over two hundred years before it was disproved by the finding of a counterexample in 1966 by Lander and Parkin.
Euler's (disproved) sum of powers conjecture
At least k positive kth powers are required to sum to a kth power,
except for the trivial case... | #AWK | AWK |
# syntax: GAWK -f EULERS_SUM_OF_POWERS_CONJECTURE.AWK
BEGIN {
start_int = systime()
main()
printf("%d seconds\n",systime()-start_int)
exit(0)
}
function main( sum,s1,x0,x1,x2,x3) {
for (x0=1; x0<=250; x0++) {
for (x1=1; x1<=x0; x1++) {
for (x2=1; x2<=x1; x2++) {
for (x3=1;... |
http://rosettacode.org/wiki/Factorial | Factorial | Definitions
The factorial of 0 (zero) is defined as being 1 (unity).
The Factorial Function of a positive integer, n, is defined as the product of the sequence:
n, n-1, n-2, ... 1
Task
Write a function to return the factorial of a number.
Solutions can be iterat... | #Microsoft_Small_Basic | Microsoft Small Basic | 'Factorial - smallbasic - 05/01/2019
For n = 1 To 25
f = 1
For i = 1 To n
f = f * i
EndFor
TextWindow.WriteLine("Factorial(" + n + ")=" + f)
EndFor |
http://rosettacode.org/wiki/Even_or_odd | Even or odd | Task
Test whether an integer is even or odd.
There is more than one way to solve this task:
Use the even and odd predicates, if the language provides them.
Check the least significant digit. With binary integers, i bitwise-and 1 equals 0 iff i is even, or equals 1 iff i is odd.
Divide i by 2. The remainder equals... | #ALGOL-M | ALGOL-M |
BEGIN
% RETURN 1 IF EVEN, OTHERWISE 0 %
INTEGER FUNCTION EVEN(I);
INTEGER I;
BEGIN
EVEN := 1 - (I - 2 * (I / 2));
END;
% TEST THE ROUTINE %
INTEGER K;
FOR K := 1 STEP 3 UNTIL 10 DO
WRITE(K," IS ", IF EVEN(K) = 1 THEN "EVEN" ELSE "ODD");
END |
http://rosettacode.org/wiki/Even_or_odd | Even or odd | Task
Test whether an integer is even or odd.
There is more than one way to solve this task:
Use the even and odd predicates, if the language provides them.
Check the least significant digit. With binary integers, i bitwise-and 1 equals 0 iff i is even, or equals 1 iff i is odd.
Divide i by 2. The remainder equals... | #ALGOL_W | ALGOL W | begin
% the Algol W standard procedure odd returns true if its integer %
% parameter is odd, false if it is even %
for i := 1, 1702, 23, -26
do begin
write( i, " is ", if odd( i ) then "odd" else "even" )
end for_i
end. |
http://rosettacode.org/wiki/Euler_method | Euler method | Euler's method numerically approximates solutions of first-order ordinary differential equations (ODEs) with a given initial value. It is an explicit method for solving initial value problems (IVPs), as described in the wikipedia page.
The ODE has to be provided in the following form:
d
y
(
t
)
d
t
=
f... | #J | J | NB.*euler a Approximates Y(t) in Y'(t)=f(t,Y) with Y(a)=Y0 and t=a..b and step size h.
euler=: adverb define
'Y0 a b h'=. 4{. y
t=. i.@>:&.(%&h) b - a
Y=. (+ h * u)^:(<#t) Y0
t,.Y
)
ncl=: _0.07 * -&20 NB. Newton's Cooling Law
|
http://rosettacode.org/wiki/Euler_method | Euler method | Euler's method numerically approximates solutions of first-order ordinary differential equations (ODEs) with a given initial value. It is an explicit method for solving initial value problems (IVPs), as described in the wikipedia page.
The ODE has to be provided in the following form:
d
y
(
t
)
d
t
=
f... | #Java | Java |
public class Euler {
private static void euler (Callable f, double y0, int a, int b, int h) {
int t = a;
double y = y0;
while (t < b) {
System.out.println ("" + t + " " + y);
t += h;
y += h * f.compute (t, y);
}
System.out.println ("DONE");
}
public static void main (Stri... |
http://rosettacode.org/wiki/Evaluate_binomial_coefficients | Evaluate binomial coefficients | This programming task, is to calculate ANY binomial coefficient.
However, it has to be able to output
(
5
3
)
{\displaystyle {\binom {5}{3}}}
, which is 10.
This formula is recommended:
(
n
k
)
=
n
!
(
n
−
k
)
!
k
!
=
n
(
n
−
1
)
(
n
−
2
)
…
(
n
−
k
+
1
)
k
(
k
−
1... | #C.23 | C# | using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
... |
http://rosettacode.org/wiki/Fibonacci_sequence | Fibonacci sequence | The Fibonacci sequence is a sequence Fn of natural numbers defined recursively:
F0 = 0
F1 = 1
Fn = Fn-1 + Fn-2, if n>1
Task
Write a function to generate the nth Fibonacci number.
Solutions can be iterative or recursive (though recursive solutions are generally considered too slow ... | #Vedit_macro_language | Vedit macro language | :FIBONACCI:
#11 = 0
#12 = 1
Repeat(#1) {
#10 = #11 + #12
#11 = #12
#12 = #10
}
Return(#11) |
http://rosettacode.org/wiki/Entropy/Narcissist | Entropy/Narcissist |
Task
Write a computer program that computes and shows its own entropy.
Related Tasks
Fibonacci_word
Entropy
| #ALGOL_68 | ALGOL 68 | BEGIN
# calculate the shannon entropy of a string #
PROC shannon entropy = ( STRING s )REAL:
BEGIN
INT string length = ( UPB s - LWB s ) + 1;
# count the occurances of each character #
[ 0 : max abs char ]INT char count;
FOR char pos FROM LWB ch... |
http://rosettacode.org/wiki/Ethiopian_multiplication | Ethiopian multiplication | Ethiopian multiplication is a method of multiplying integers using only addition, doubling, and halving.
Method:
Take two numbers to be multiplied and write them down at the top of two columns.
In the left-hand column repeatedly halve the last number, discarding any remainders, and write the result below the last ... | #Ada | Ada |
with ada.text_io;use ada.text_io;
procedure ethiopian is
function double (n : Natural) return Natural is (2*n);
function halve (n : Natural) return Natural is (n/2);
function is_even (n : Natural) return Boolean is (n mod 2 = 0);
function mul (l, r : Natural) return Natural is
(if l = 0 then 0 elsif... |
http://rosettacode.org/wiki/Equilibrium_index | Equilibrium index | An equilibrium index of a sequence is an index into the sequence such that the sum of elements at lower indices is equal to the sum of elements at higher indices.
For example, in a sequence
A
{\displaystyle A}
:
A
0
=
−
7
{\displaystyle A_{0}=-7}
A
1
=
1
{\displaystyle A_{1}=1}
... | #Action.21 | Action! | PROC PrintArray(INT ARRAY a INT size)
INT i
Put('[)
FOR i=0 TO size-1
DO
IF i>0 THEN Put(' ) FI
PrintI(a(i))
OD
Put(']) PutE()
RETURN
INT FUNC SumRange(INT ARRAY a INT first,last)
INT sum
INT i
sum=0
FOR i=first TO last
DO
sum==+a(i)
OD
RETURN(sum)
PROC EquilibriumIndices(INT... |
http://rosettacode.org/wiki/Equilibrium_index | Equilibrium index | An equilibrium index of a sequence is an index into the sequence such that the sum of elements at lower indices is equal to the sum of elements at higher indices.
For example, in a sequence
A
{\displaystyle A}
:
A
0
=
−
7
{\displaystyle A_{0}=-7}
A
1
=
1
{\displaystyle A_{1}=1}
... | #Ada | Ada | with Ada.Containers.Vectors;
generic
type Index_Type is range <>;
type Element_Type is private;
Zero : Element_Type;
with function "+" (Left, Right : Element_Type) return Element_Type is <>;
with function "-" (Left, Right : Element_Type) return Element_Type is <>;
with function "=" (Left, Right : El... |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #AppleScript | AppleScript |
tell application "Finder" to get name of home
|
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #Arturo | Arturo | print ["path:" env\PATH]
print ["user:" env\USER]
print ["home:" env\HOME] |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #AutoHotkey | AutoHotkey | EnvGet, OutputVar, Path
MsgBox, %OutputVar% |
http://rosettacode.org/wiki/Esthetic_numbers | Esthetic numbers | An esthetic number is a positive integer where every adjacent digit differs from its neighbour by 1.
E.G.
12 is an esthetic number. One and two differ by 1.
5654 is an esthetic number. Each digit is exactly 1 away from its neighbour.
890 is not an esthetic number. Nine and zero differ by 9.
These examples are n... | #Java | Java | import java.util.ArrayList;
import java.util.stream.IntStream;
import java.util.stream.LongStream;
public class EstheticNumbers {
interface RecTriConsumer<A, B, C> {
void accept(RecTriConsumer<A, B, C> f, A a, B b, C c);
}
private static boolean isEsthetic(long n, long b) {
if (n == 0) {... |
http://rosettacode.org/wiki/Euler%27s_sum_of_powers_conjecture | Euler's sum of powers conjecture | There is a conjecture in mathematics that held for over two hundred years before it was disproved by the finding of a counterexample in 1966 by Lander and Parkin.
Euler's (disproved) sum of powers conjecture
At least k positive kth powers are required to sum to a kth power,
except for the trivial case... | #BCPL | BCPL |
GET "libhdr"
LET solve() BE {
LET pow5 = VEC 249
LET sum = ?
FOR i = 1 TO 249
pow5!i := i * i * i * i * i
FOR w = 4 TO 249
FOR x = 3 TO w - 1
FOR y = 2 TO x - 1
FOR z = 1 TO y - 1 {
sum := pow5!w + pow5!x + pow5!y + pow5!z
... |
http://rosettacode.org/wiki/Factorial | Factorial | Definitions
The factorial of 0 (zero) is defined as being 1 (unity).
The Factorial Function of a positive integer, n, is defined as the product of the sequence:
n, n-1, n-2, ... 1
Task
Write a function to return the factorial of a number.
Solutions can be iterat... | #min | min | ((dup 0 ==) 'succ (dup pred) '* linrec) :factorial |
http://rosettacode.org/wiki/Even_or_odd | Even or odd | Task
Test whether an integer is even or odd.
There is more than one way to solve this task:
Use the even and odd predicates, if the language provides them.
Check the least significant digit. With binary integers, i bitwise-and 1 equals 0 iff i is even, or equals 1 iff i is odd.
Divide i by 2. The remainder equals... | #AntLang | AntLang | odd: {x mod 2}
even: {1 - x mod 2} |
http://rosettacode.org/wiki/Even_or_odd | Even or odd | Task
Test whether an integer is even or odd.
There is more than one way to solve this task:
Use the even and odd predicates, if the language provides them.
Check the least significant digit. With binary integers, i bitwise-and 1 equals 0 iff i is even, or equals 1 iff i is odd.
Divide i by 2. The remainder equals... | #APL | APL | 2|28
0
2|37
1 |
http://rosettacode.org/wiki/Euler_method | Euler method | Euler's method numerically approximates solutions of first-order ordinary differential equations (ODEs) with a given initial value. It is an explicit method for solving initial value problems (IVPs), as described in the wikipedia page.
The ODE has to be provided in the following form:
d
y
(
t
)
d
t
=
f... | #JavaScript | JavaScript |
// Function that takes differential-equation, initial condition,
// ending x, and step size as parameters
function eulersMethod(f, x1, y1, x2, h) {
// Header
console.log("\tX\t|\tY\t");
console.log("------------------------------------");
// Initial Variables
var x=x1, y=y1;
// While we're not done yet
// ... |
http://rosettacode.org/wiki/Evaluate_binomial_coefficients | Evaluate binomial coefficients | This programming task, is to calculate ANY binomial coefficient.
However, it has to be able to output
(
5
3
)
{\displaystyle {\binom {5}{3}}}
, which is 10.
This formula is recommended:
(
n
k
)
=
n
!
(
n
−
k
)
!
k
!
=
n
(
n
−
1
)
(
n
−
2
)
…
(
n
−
k
+
1
)
k
(
k
−
1... | #C.2B.2B | C++ | double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomial... |
http://rosettacode.org/wiki/Fibonacci_sequence | Fibonacci sequence | The Fibonacci sequence is a sequence Fn of natural numbers defined recursively:
F0 = 0
F1 = 1
Fn = Fn-1 + Fn-2, if n>1
Task
Write a function to generate the nth Fibonacci number.
Solutions can be iterative or recursive (though recursive solutions are generally considered too slow ... | #Visual_Basic | Visual Basic | Sub fibonacci()
Const n = 139
Dim i As Integer
Dim f1 As Variant, f2 As Variant, f3 As Variant 'for Decimal
f1 = CDec(0): f2 = CDec(1) 'for Decimal setting
Debug.Print "fibo("; 0; ")="; f1
Debug.Print "fibo("; 1; ")="; f2
For i = 2 To n
f3 = f1 + f2
Debug.Print "fibo("; i; "... |
http://rosettacode.org/wiki/Entropy/Narcissist | Entropy/Narcissist |
Task
Write a computer program that computes and shows its own entropy.
Related Tasks
Fibonacci_word
Entropy
| #AutoHotkey | AutoHotkey | FileRead, var, *C %A_ScriptFullPath%
MsgBox, % Entropy(var)
Entropy(n) {
a := [], len := StrLen(n), m := n
while StrLen(m) {
s := SubStr(m, 1, 1)
m := RegExReplace(m, s, "", c)
a[s] := c
}
for key, val in a {
m := Log(p := val / len)
e -= p * m / Log(2)
}
... |
http://rosettacode.org/wiki/Entropy/Narcissist | Entropy/Narcissist |
Task
Write a computer program that computes and shows its own entropy.
Related Tasks
Fibonacci_word
Entropy
| #AWK | AWK |
BEGIN{FS=""
RS="\x04"#EOF
getline<"entropy.awk"
for(i=1;i<=NF;i++)H[$i]++
for(i in H)E-=(h=H[i]/NF)*log(h)
print "bytes ",NF," entropy ",E/log(2)
exit} |
http://rosettacode.org/wiki/Enumerations | Enumerations | Task
Create an enumeration of constants with and without explicit values.
| #11l | 11l | T.enum TokenCategory
NAME
KEYWORD
CONSTANT
TEST_CATEGORY = 10 |
http://rosettacode.org/wiki/Ethiopian_multiplication | Ethiopian multiplication | Ethiopian multiplication is a method of multiplying integers using only addition, doubling, and halving.
Method:
Take two numbers to be multiplied and write them down at the top of two columns.
In the left-hand column repeatedly halve the last number, discarding any remainders, and write the result below the last ... | #Aime | Aime | void
halve(integer &x)
{
x >>= 1;
}
void
double(integer &x)
{
x <<= 1;
}
integer
iseven(integer x)
{
return (x & 1) == 0;
}
integer
ethiopian(integer plier, integer plicand, integer tutor)
{
integer result;
result = 0;
if (tutor) {
o_form("ethiopian multiplication of ~ by ~\n",... |
http://rosettacode.org/wiki/Equilibrium_index | Equilibrium index | An equilibrium index of a sequence is an index into the sequence such that the sum of elements at lower indices is equal to the sum of elements at higher indices.
For example, in a sequence
A
{\displaystyle A}
:
A
0
=
−
7
{\displaystyle A_{0}=-7}
A
1
=
1
{\displaystyle A_{1}=1}
... | #Aime | Aime | list
eqindex(list l)
{
integer e, i, s, sum;
list x;
s = sum = 0;
l.ucall(add_i, 1, sum);
for (i, e in l) {
if (s * 2 + e == sum) {
x.append(i);
}
s += e;
}
x;
}
integer
main(void)
{
list(-7, 1, 5, 2, -4, 3, 0).eqindex.ucall(o_, 0, "\n");
0... |
http://rosettacode.org/wiki/Equilibrium_index | Equilibrium index | An equilibrium index of a sequence is an index into the sequence such that the sum of elements at lower indices is equal to the sum of elements at higher indices.
For example, in a sequence
A
{\displaystyle A}
:
A
0
=
−
7
{\displaystyle A_{0}=-7}
A
1
=
1
{\displaystyle A_{1}=1}
... | #ALGOL_68 | ALGOL 68 | MODE YIELDINT = PROC(INT)VOID;
PROC gen equilibrium index = ([]INT arr, YIELDINT yield)VOID:
(
INT sum := 0;
FOR i FROM LWB arr TO UPB arr DO
sum +:= arr[i]
OD;
INT left:=0, right:=sum;
FOR i FROM LWB arr TO UPB arr DO
right -:= arr[i];
IF left = right THEN yield(i) FI;
... |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #AutoIt | AutoIt | ConsoleWrite("# Environment:" & @CRLF)
Local $sEnvVar = EnvGet("LANG")
ConsoleWrite("LANG : " & $sEnvVar & @CRLF)
ShowEnv("SystemDrive")
ShowEnv("USERNAME")
Func ShowEnv($N)
ConsoleWrite( StringFormat("%-12s : %s\n", $N, EnvGet($N)) )
EndFunc ;==>ShowEnv |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #AWK | AWK | $ awk 'BEGIN{print "HOME:"ENVIRON["HOME"],"USER:"ENVIRON["USER"]}' |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #BASIC | BASIC | x$ = ENVIRON$("path")
PRINT x$ |
http://rosettacode.org/wiki/Esthetic_numbers | Esthetic numbers | An esthetic number is a positive integer where every adjacent digit differs from its neighbour by 1.
E.G.
12 is an esthetic number. One and two differ by 1.
5654 is an esthetic number. Each digit is exactly 1 away from its neighbour.
890 is not an esthetic number. Nine and zero differ by 9.
These examples are n... | #JavaScript | JavaScript | function isEsthetic(inp, base = 10) {
let arr = inp.toString(base).split('');
if (arr.length == 1) return false;
for (let i = 0; i < arr.length; i++)
arr[i] = parseInt(arr[i], base);
for (i = 0; i < arr.length-1; i++)
if (Math.abs(arr[i]-arr[i+1]) !== 1) return false;
return true;
}
function collect... |
http://rosettacode.org/wiki/Euler%27s_sum_of_powers_conjecture | Euler's sum of powers conjecture | There is a conjecture in mathematics that held for over two hundred years before it was disproved by the finding of a counterexample in 1966 by Lander and Parkin.
Euler's (disproved) sum of powers conjecture
At least k positive kth powers are required to sum to a kth power,
except for the trivial case... | #Bracmat | Bracmat | 0:?x0
& whl
' ( 1+!x0:<250:?x0
& out$(x0 !x0)
& 0:?x1
& whl
' ( 1+!x1:~>!x0:?x1
& out$(x0 !x0 x1 !x1)
& 0:?x2
& whl
' ( 1+!x2:~>!x1:?x2
& 0:?x3
& whl
' ( 1+!x3:~>!x2:?x3
& (!x0^5+!x1^5+!x2^5+!x3^5)^1/... |
http://rosettacode.org/wiki/Factorial | Factorial | Definitions
The factorial of 0 (zero) is defined as being 1 (unity).
The Factorial Function of a positive integer, n, is defined as the product of the sequence:
n, n-1, n-2, ... 1
Task
Write a function to return the factorial of a number.
Solutions can be iterat... | #MiniScript | MiniScript | factorial = function(n)
result = 1
for i in range(2,n)
result = result * i
end for
return result
end function
print factorial(10) |
http://rosettacode.org/wiki/Even_or_odd | Even or odd | Task
Test whether an integer is even or odd.
There is more than one way to solve this task:
Use the even and odd predicates, if the language provides them.
Check the least significant digit. With binary integers, i bitwise-and 1 equals 0 iff i is even, or equals 1 iff i is odd.
Divide i by 2. The remainder equals... | #AppleScript | AppleScript | set L to {3, 2, 1, 0, -1, -2, -3}
set evens to {}
set odds to {}
repeat with x in L
if (x mod 2 = 0) then
set the end of evens to x's contents
else
set the end of odds to x's contents
end if
end repeat
return {even:evens, odd:odds} |
http://rosettacode.org/wiki/Euler_method | Euler method | Euler's method numerically approximates solutions of first-order ordinary differential equations (ODEs) with a given initial value. It is an explicit method for solving initial value problems (IVPs), as described in the wikipedia page.
The ODE has to be provided in the following form:
d
y
(
t
)
d
t
=
f... | #jq | jq | # euler_method takes a filter (df), initial condition
# (x1,y1), ending x (x2), and step size as parameters;
# it emits the y values at each iteration.
# df must take [x,y] as its input.
def euler_method(df; x1; y1; x2; h):
h as $h
| [x1, y1]
| recurse( if ((.[0] < x2 and x1 < x2) or
(.[0] > x2... |
http://rosettacode.org/wiki/Euler_method | Euler method | Euler's method numerically approximates solutions of first-order ordinary differential equations (ODEs) with a given initial value. It is an explicit method for solving initial value problems (IVPs), as described in the wikipedia page.
The ODE has to be provided in the following form:
d
y
(
t
)
d
t
=
f... | #Julia | Julia | euler(f::Function, T::Number, t0::Int, t1::Int, h::Int) = collect(begin T += h * f(T); T end for t in t0:h:t1)
# Prints a series of arbitrary values in a tabular form, left aligned in cells with a given width
tabular(width, cells...) = println(join(map(s -> rpad(s, width), cells)))
# prints the table according to t... |
http://rosettacode.org/wiki/Evaluate_binomial_coefficients | Evaluate binomial coefficients | This programming task, is to calculate ANY binomial coefficient.
However, it has to be able to output
(
5
3
)
{\displaystyle {\binom {5}{3}}}
, which is 10.
This formula is recommended:
(
n
k
)
=
n
!
(
n
−
k
)
!
k
!
=
n
(
n
−
1
)
(
n
−
2
)
…
(
n
−
k
+
1
)
k
(
k
−
1... | #Clojure | Clojure | (defn binomial-coefficient [n k]
(let [rprod (fn [a b] (reduce * (range a (inc b))))]
(/ (rprod (- n k -1) n) (rprod 1 k)))) |
http://rosettacode.org/wiki/Evaluate_binomial_coefficients | Evaluate binomial coefficients | This programming task, is to calculate ANY binomial coefficient.
However, it has to be able to output
(
5
3
)
{\displaystyle {\binom {5}{3}}}
, which is 10.
This formula is recommended:
(
n
k
)
=
n
!
(
n
−
k
)
!
k
!
=
n
(
n
−
1
)
(
n
−
2
)
…
(
n
−
k
+
1
)
k
(
k
−
1... | #CoffeeScript | CoffeeScript |
binomial_coefficient = (n, k) ->
result = 1
for i in [0...k]
result *= (n - i) / (i + 1)
result
n = 5
for k in [0..n]
console.log "binomial_coefficient(#{n}, #{k}) = #{binomial_coefficient(n,k)}"
|
http://rosettacode.org/wiki/Fibonacci_sequence | Fibonacci sequence | The Fibonacci sequence is a sequence Fn of natural numbers defined recursively:
F0 = 0
F1 = 1
Fn = Fn-1 + Fn-2, if n>1
Task
Write a function to generate the nth Fibonacci number.
Solutions can be iterative or recursive (though recursive solutions are generally considered too slow ... | #Visual_Basic_.NET | Visual Basic .NET | Function Fib(ByVal n As Integer) As Decimal
Dim fib0, fib1, sum As Decimal
Dim i As Integer
fib0 = 0
fib1 = 1
For i = 1 To n
sum = fib0 + fib1
fib0 = fib1
fib1 = sum
Next
Fib = fib0
End Function |
http://rosettacode.org/wiki/Entropy/Narcissist | Entropy/Narcissist |
Task
Write a computer program that computes and shows its own entropy.
Related Tasks
Fibonacci_word
Entropy
| #C | C | #include <stdio.h>
#include <stdlib.h>
#include <stdbool.h>
#include <string.h>
#include <math.h>
#define MAXLEN 961 //maximum string length
int makehist(char *S,int *hist,int len){
int wherechar[256];
int i,histlen;
histlen=0;
for(i=0;i<256;i++)wherechar[i]=-1;
for(i=0;i<len;i++){
if(wherechar[(int)S[i]]==-... |
http://rosettacode.org/wiki/Enumerations | Enumerations | Task
Create an enumeration of constants with and without explicit values.
| #6502_Assembly | 6502 Assembly | Sunday equ 0
Monday equ 1
Tuesday equ 2
Wednesday equ 3
Thursday equ 4
Friday equ 5
Saturday equ 6 |
http://rosettacode.org/wiki/Enumerations | Enumerations | Task
Create an enumeration of constants with and without explicit values.
| #68000_Assembly | 68000 Assembly | Sunday equ 0
Monday equ 1
Tuesday equ 2
Wednesday equ 3
Thursday equ 4
Friday equ 5
Saturday equ 6 |
http://rosettacode.org/wiki/Enumerations | Enumerations | Task
Create an enumeration of constants with and without explicit values.
| #8086_Assembly | 8086 Assembly | Sunday equ 0
Monday equ 1
Tuesday equ 2
Wednesday equ 3
Thursday equ 4
Friday equ 5
Saturday equ 6
Sunday equ 7 |
http://rosettacode.org/wiki/Ethiopian_multiplication | Ethiopian multiplication | Ethiopian multiplication is a method of multiplying integers using only addition, doubling, and halving.
Method:
Take two numbers to be multiplied and write them down at the top of two columns.
In the left-hand column repeatedly halve the last number, discarding any remainders, and write the result below the last ... | #ALGOL_68 | ALGOL 68 | PROC halve = (REF INT x)VOID: x := ABS(BIN x SHR 1);
PROC doublit = (REF INT x)VOID: x := ABS(BIN x SHL 1);
PROC iseven = (#CONST# INT x)BOOL: NOT ODD x;
PROC ethiopian = (INT in plier,
INT in plicand, #CONST# BOOL tutor)INT:
(
INT plier := in plier, plicand := in plicand;
INT result:=0;
IF tuto... |
http://rosettacode.org/wiki/Equilibrium_index | Equilibrium index | An equilibrium index of a sequence is an index into the sequence such that the sum of elements at lower indices is equal to the sum of elements at higher indices.
For example, in a sequence
A
{\displaystyle A}
:
A
0
=
−
7
{\displaystyle A_{0}=-7}
A
1
=
1
{\displaystyle A_{1}=1}
... | #AppleScript | AppleScript | -- equilibriumIndices :: [Int] -> [Int]
on equilibriumIndices(xs)
script balancedPair
on |λ|(a, pair, i)
set {x, y} to pair
if x = y then
{i - 1} & a
else
a
end if
end |λ|
end script
script plus
on |λ... |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #Batch_File | Batch File | echo %Foo% |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #BBC_BASIC | BBC BASIC | PRINT FNenvironment("PATH")
PRINT FNenvironment("USERNAME")
END
DEF FNenvironment(envar$)
LOCAL buffer%, size%
SYS "GetEnvironmentVariable", envar$, 0, 0 TO size%
DIM buffer% LOCAL size%
SYS "GetEnvironmentVariable", envar$, buffer%, size%+1
= $$buffer% |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #C | C | #include <stdlib.h>
#include <stdio.h>
int main() {
puts(getenv("HOME"));
puts(getenv("PATH"));
puts(getenv("USER"));
return 0;
}
|
http://rosettacode.org/wiki/Esthetic_numbers | Esthetic numbers | An esthetic number is a positive integer where every adjacent digit differs from its neighbour by 1.
E.G.
12 is an esthetic number. One and two differ by 1.
5654 is an esthetic number. Each digit is exactly 1 away from its neighbour.
890 is not an esthetic number. Nine and zero differ by 9.
These examples are n... | #Julia | Julia | using Formatting
import Base.iterate, Base.IteratorSize, Base.IteratorEltype
"""
struct Esthetic
Used for iteration of esthetic numbers
"""
struct Esthetic{T}
lowerlimit::T where T <: Integer
base::T
upperlimit::T
Esthetic{T}(n, bas, m=typemax(T)) where T = new{T}(nextesthetic(n, bas), bas, m)
e... |
http://rosettacode.org/wiki/Euler%27s_sum_of_powers_conjecture | Euler's sum of powers conjecture | There is a conjecture in mathematics that held for over two hundred years before it was disproved by the finding of a counterexample in 1966 by Lander and Parkin.
Euler's (disproved) sum of powers conjecture
At least k positive kth powers are required to sum to a kth power,
except for the trivial case... | #C | C | // Alexander Maximov, July 2nd, 2015
#include <stdio.h>
#include <time.h>
typedef long long mylong;
void compute(int N, char find_only_one_solution)
{ const int M = 30; /* x^5 == x modulo M=2*3*5 */
int a, b, c, d, e;
mylong s, t, max, *p5 = (mylong*)malloc(sizeof(mylong)*(N+M));
for(s=0; s < N; ++s)
p5[s] =... |
http://rosettacode.org/wiki/Factorial | Factorial | Definitions
The factorial of 0 (zero) is defined as being 1 (unity).
The Factorial Function of a positive integer, n, is defined as the product of the sequence:
n, n-1, n-2, ... 1
Task
Write a function to return the factorial of a number.
Solutions can be iterat... | #MiniZinc | MiniZinc | var int: factorial(int: n) =
let {
array[0..n] of var int: factorial;
constraint forall(a in 0..n)(
factorial[a] == if (a == 0) then
1
else
a*factorial[a-1]
endif
)} in factorial[n];
var int: fac = factorial(6);
solve satisfy;
output [show(fac),"\n"]; |
http://rosettacode.org/wiki/Even_or_odd | Even or odd | Task
Test whether an integer is even or odd.
There is more than one way to solve this task:
Use the even and odd predicates, if the language provides them.
Check the least significant digit. With binary integers, i bitwise-and 1 equals 0 iff i is even, or equals 1 iff i is odd.
Divide i by 2. The remainder equals... | #Arendelle | Arendelle | ( input , "Please enter a number: " )
{ @input % 2 = 0 ,
"| @input | is even!"
,
"| @input | is odd!"
} |
http://rosettacode.org/wiki/Even_or_odd | Even or odd | Task
Test whether an integer is even or odd.
There is more than one way to solve this task:
Use the even and odd predicates, if the language provides them.
Check the least significant digit. With binary integers, i bitwise-and 1 equals 0 iff i is even, or equals 1 iff i is odd.
Divide i by 2. The remainder equals... | #ARM_Assembly | ARM Assembly |
/* ARM assembly Raspberry PI or android 32 bits */
/* program oddEven.s */
/* REMARK 1 : this program use routines in a include file
see task Include a file language arm assembly
for the routine affichageMess conversion10
see at end of this program the instruction include */
/* for constantes see t... |
http://rosettacode.org/wiki/Euler_method | Euler method | Euler's method numerically approximates solutions of first-order ordinary differential equations (ODEs) with a given initial value. It is an explicit method for solving initial value problems (IVPs), as described in the wikipedia page.
The ODE has to be provided in the following form:
d
y
(
t
)
d
t
=
f... | #Kotlin | Kotlin | // version 1.1.2
typealias Deriv = (Double) -> Double // only one parameter needed here
const val FMT = " %7.3f"
fun euler(f: Deriv, y: Double, step: Int, end: Int) {
var yy = y
print(" Step %2d: ".format(step))
for (t in 0..end step step) {
if (t % 10 == 0) print(FMT.format(yy))
yy +... |
http://rosettacode.org/wiki/Evaluate_binomial_coefficients | Evaluate binomial coefficients | This programming task, is to calculate ANY binomial coefficient.
However, it has to be able to output
(
5
3
)
{\displaystyle {\binom {5}{3}}}
, which is 10.
This formula is recommended:
(
n
k
)
=
n
!
(
n
−
k
)
!
k
!
=
n
(
n
−
1
)
(
n
−
2
)
…
(
n
−
k
+
1
)
k
(
k
−
1... | #Commodore_BASIC | Commodore BASIC |
10 REM BINOMIAL COEFFICIENTS
20 REM COMMODORE BASIC 2.0
30 REM 2021-08-24
40 REM BY ALVALONGO
100 Z=0:U=1
110 FOR N=U TO 10
120 PRINT N;
130 FOR K=Z TO N
140 GOSUB 900
150 PRINT C;
160 NEXT K
170 PRINT
180 NEXT N
190 END
900 REM BINOMIAL COEFFICIENT
910 IF K<Z OR K>N THEN C=Z:RETURN
920 IF K=Z OR K=N THEN C=U:RETURN
... |
http://rosettacode.org/wiki/Fibonacci_sequence | Fibonacci sequence | The Fibonacci sequence is a sequence Fn of natural numbers defined recursively:
F0 = 0
F1 = 1
Fn = Fn-1 + Fn-2, if n>1
Task
Write a function to generate the nth Fibonacci number.
Solutions can be iterative or recursive (though recursive solutions are generally considered too slow ... | #Vlang | Vlang | fn fib_iter(n int) int {
if n < 2 {
return n
}
mut prev, mut fib := 0, 1
for _ in 0..(n - 1){
prev, fib = fib, prev + fib
}
return fib
}
fn main() {
for val in 0..11 {
println('fibonacci(${val:2d}) = ${fib_iter(val):3d}')
}
} |
http://rosettacode.org/wiki/Entropy/Narcissist | Entropy/Narcissist |
Task
Write a computer program that computes and shows its own entropy.
Related Tasks
Fibonacci_word
Entropy
| #C.2B.2B | C++ | #include <iostream>
#include <fstream>
#include <cmath>
using namespace std;
string readFile (string path) {
string contents;
string line;
ifstream inFile(path);
while (getline (inFile, line)) {
contents.append(line);
contents.append("\n");
}
inFile.close();
return conten... |
http://rosettacode.org/wiki/Entropy/Narcissist | Entropy/Narcissist |
Task
Write a computer program that computes and shows its own entropy.
Related Tasks
Fibonacci_word
Entropy
| #Crystal | Crystal | def entropy(s)
counts = s.chars.each_with_object(Hash(Char, Float64).new(0.0)) { |c, h| h[c] += 1 }
counts.values.sum do |count|
freq = count / s.size
-freq * Math.log2(freq)
end
end
puts entropy File.read(__FILE__) |
http://rosettacode.org/wiki/Enumerations | Enumerations | Task
Create an enumeration of constants with and without explicit values.
| #ACL2 | ACL2 | (defun symbol-to-constant (sym)
(intern (concatenate 'string "*" (symbol-name sym) "*")
"ACL2"))
(defmacro enum-with-vals (symbol value &rest args)
(if (endp args)
`(defconst ,(symbol-to-constant symbol) ,value)
`(progn (defconst ,(symbol-to-constant symbol) ,value)
(enum... |
http://rosettacode.org/wiki/Enumerations | Enumerations | Task
Create an enumeration of constants with and without explicit values.
| #Ada | Ada | type Fruit is (apple, banana, cherry); -- No specification of the representation value;
for Fruit use (apple => 1, banana => 2, cherry => 4); -- specification of the representation values |
http://rosettacode.org/wiki/Ethiopian_multiplication | Ethiopian multiplication | Ethiopian multiplication is a method of multiplying integers using only addition, doubling, and halving.
Method:
Take two numbers to be multiplied and write them down at the top of two columns.
In the left-hand column repeatedly halve the last number, discarding any remainders, and write the result below the last ... | #ALGOL-M | ALGOL-M |
BEGIN
INTEGER FUNCTION HALF(I);
INTEGER I;
BEGIN
HALF := I / 2;
END;
INTEGER FUNCTION DOUBLE(I);
INTEGER I;
BEGIN
DOUBLE := I + I;
END;
% RETURN 1 IF EVEN, OTHERWISE 0 %
INTEGER FUNCTION EVEN(I);
INTEGER I;
BEGIN
EVEN := 1 - (I - 2 * (I / 2));
END;
% RETURN I * J AND OPTIONALLY SHOW COMPUTATIONAL STEPS ... |
http://rosettacode.org/wiki/Equilibrium_index | Equilibrium index | An equilibrium index of a sequence is an index into the sequence such that the sum of elements at lower indices is equal to the sum of elements at higher indices.
For example, in a sequence
A
{\displaystyle A}
:
A
0
=
−
7
{\displaystyle A_{0}=-7}
A
1
=
1
{\displaystyle A_{1}=1}
... | #Arturo | Arturo | eqIndex: function [row][
suml: 0
delayed: 0
sumr: sum row
result: new []
loop.with:'i row 'r [
suml: suml + delayed
sumr: sumr - r
delayed: r
if suml = sumr -> 'result ++ i
]
return result
]
data: @[
@[neg 7, 1, 5, 2, neg 4, 3, 0]
@[2 4 6]
@[2 9 ... |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #C.23 | C# | using System;
namespace RosettaCode {
class Program {
static void Main() {
string temp = Environment.GetEnvironmentVariable("TEMP");
Console.WriteLine("TEMP is " + temp);
}
}
} |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #C.2B.2B | C++ | #include <cstdlib>
#include <cstdio>
int main()
{
puts(getenv("HOME"));
return 0;
} |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #Clojure | Clojure | (System/getenv "HOME") |
http://rosettacode.org/wiki/Esthetic_numbers | Esthetic numbers | An esthetic number is a positive integer where every adjacent digit differs from its neighbour by 1.
E.G.
12 is an esthetic number. One and two differ by 1.
5654 is an esthetic number. Each digit is exactly 1 away from its neighbour.
890 is not an esthetic number. Nine and zero differ by 9.
These examples are n... | #Kotlin | Kotlin | import kotlin.math.abs
fun isEsthetic(n: Long, b: Long): Boolean {
if (n == 0L) {
return false
}
var i = n % b
var n2 = n / b
while (n2 > 0) {
val j = n2 % b
if (abs(i - j) != 1L) {
return false
}
n2 /= b
i = j
}
return true
}
f... |
http://rosettacode.org/wiki/Euler%27s_sum_of_powers_conjecture | Euler's sum of powers conjecture | There is a conjecture in mathematics that held for over two hundred years before it was disproved by the finding of a counterexample in 1966 by Lander and Parkin.
Euler's (disproved) sum of powers conjecture
At least k positive kth powers are required to sum to a kth power,
except for the trivial case... | #C.23 | C# | using System;
namespace EulerSumOfPowers {
class Program {
const int MAX_NUMBER = 250;
static void Main(string[] args) {
bool found = false;
long[] fifth = new long[MAX_NUMBER];
for (int i = 1; i <= MAX_NUMBER; i++) {
long i2 = i * i;
... |
http://rosettacode.org/wiki/Factorial | Factorial | Definitions
The factorial of 0 (zero) is defined as being 1 (unity).
The Factorial Function of a positive integer, n, is defined as the product of the sequence:
n, n-1, n-2, ... 1
Task
Write a function to return the factorial of a number.
Solutions can be iterat... | #MIPS_Assembly | MIPS Assembly |
##################################
# Factorial; iterative #
# By Keith Stellyes :) #
# Targets Mars implementation #
# August 24, 2016 #
##################################
# This example reads an integer from user, stores in register a1
# Then, it uses a0 as a multiplier and ta... |
http://rosettacode.org/wiki/Even_or_odd | Even or odd | Task
Test whether an integer is even or odd.
There is more than one way to solve this task:
Use the even and odd predicates, if the language provides them.
Check the least significant digit. With binary integers, i bitwise-and 1 equals 0 iff i is even, or equals 1 iff i is odd.
Divide i by 2. The remainder equals... | #ArnoldC | ArnoldC | LISTEN TO ME VERY CAREFULLY isOdd
I NEED YOUR CLOTHES YOUR BOOTS AND YOUR MOTORCYCLE n
GIVE THESE PEOPLE AIR
HEY CHRISTMAS TREE result
YOU SET US UP @I LIED
GET TO THE CHOPPER result
HERE IS MY INVITATION n
I LET HIM GO 2
ENOUGH TALK
I'LL BE BACK result
HASTA LA VISTA, BABY
LISTEN TO ME VERY CAREFULLY showParity
I NE... |
http://rosettacode.org/wiki/Euler_method | Euler method | Euler's method numerically approximates solutions of first-order ordinary differential equations (ODEs) with a given initial value. It is an explicit method for solving initial value problems (IVPs), as described in the wikipedia page.
The ODE has to be provided in the following form:
d
y
(
t
)
d
t
=
f... | #Lambdatalk | Lambdatalk |
{def eulersMethod
{def eulersMethod.r
{lambda {:f :b :h :t :y}
{if {<= :t :b}
then {tr {td :t} {td {/ {round {* :y 1000}} 1000}}}
{eulersMethod.r :f :b :h {+ :t :h} {+ :y {* :h {:f :t :y}}}}
else}}}
{lambda {:f :y0 :a :b :h}
{table {eulersMethod.r :f :b :h :a :y0}}}}
{def cooling
{lambda ... |
http://rosettacode.org/wiki/Evaluate_binomial_coefficients | Evaluate binomial coefficients | This programming task, is to calculate ANY binomial coefficient.
However, it has to be able to output
(
5
3
)
{\displaystyle {\binom {5}{3}}}
, which is 10.
This formula is recommended:
(
n
k
)
=
n
!
(
n
−
k
)
!
k
!
=
n
(
n
−
1
)
(
n
−
2
)
…
(
n
−
k
+
1
)
k
(
k
−
1... | #Common_Lisp | Common Lisp |
(defun choose (n k)
(labels ((prod-enum (s e)
(do ((i s (1+ i)) (r 1 (* i r))) ((> i e) r)))
(fact (n) (prod-enum 1 n)))
(/ (prod-enum (- (1+ n) k) n) (fact k))))
|
http://rosettacode.org/wiki/Evaluate_binomial_coefficients | Evaluate binomial coefficients | This programming task, is to calculate ANY binomial coefficient.
However, it has to be able to output
(
5
3
)
{\displaystyle {\binom {5}{3}}}
, which is 10.
This formula is recommended:
(
n
k
)
=
n
!
(
n
−
k
)
!
k
!
=
n
(
n
−
1
)
(
n
−
2
)
…
(
n
−
k
+
1
)
k
(
k
−
1... | #D | D | T binomial(T)(in T n, T k) pure nothrow {
if (k > (n / 2))
k = n - k;
T bc = 1;
foreach (T i; T(2) .. k + 1)
bc = (bc * (n - k + i)) / i;
return bc;
}
void main() {
import std.stdio, std.bigint;
foreach (const d; [[5, 3], [100, 2], [100, 98]])
writefln("(%3d %3d) = %s... |
http://rosettacode.org/wiki/Fibonacci_sequence | Fibonacci sequence | The Fibonacci sequence is a sequence Fn of natural numbers defined recursively:
F0 = 0
F1 = 1
Fn = Fn-1 + Fn-2, if n>1
Task
Write a function to generate the nth Fibonacci number.
Solutions can be iterative or recursive (though recursive solutions are generally considered too slow ... | #Wart | Wart | def (fib n)
if (n < 2)
n
(+ (fib n-1) (fib n-2)) |
http://rosettacode.org/wiki/Entropy/Narcissist | Entropy/Narcissist |
Task
Write a computer program that computes and shows its own entropy.
Related Tasks
Fibonacci_word
Entropy
| #D | D | void main(in string[] args) {
import std.stdio, std.algorithm, std.math, std.file;
auto data = sort(cast(ubyte[])args[0].read);
return data
.group
.map!(g => g[1] / double(data.length))
.map!(p => -p * p.log2)
.sum
.writeln;
} |
http://rosettacode.org/wiki/Entropy/Narcissist | Entropy/Narcissist |
Task
Write a computer program that computes and shows its own entropy.
Related Tasks
Fibonacci_word
Entropy
| #Elixir | Elixir | File.open(__ENV__.file, [:read], fn(file) ->
text = IO.read(file, :all)
leng = String.length(text)
String.codepoints(text)
|> Enum.group_by(&(&1))
|> Enum.map(fn{_,value} -> length(value) end)
|> Enum.reduce(0, fn count, entropy ->
freq = count / leng
entropy - freq * :math.log2(freq)
end... |
http://rosettacode.org/wiki/Entropy/Narcissist | Entropy/Narcissist |
Task
Write a computer program that computes and shows its own entropy.
Related Tasks
Fibonacci_word
Entropy
| #Emacs_Lisp | Emacs Lisp | (defun shannon-entropy (input)
(let ((freq-table (make-hash-table))
(entropy 0)
(length (+ (length input) 0.0)))
(mapcar (lambda (x)
(puthash x
(+ 1 (gethash x freq-table 0))
freq-table))
input)
(maphash (lambda (k v)
(set 'entropy (+ entropy
(* (/ v length)
... |
http://rosettacode.org/wiki/Enumerations | Enumerations | Task
Create an enumeration of constants with and without explicit values.
| #ALGOL_68 | ALGOL 68 | BEGIN # example 1 #
MODE FRUIT = INT;
FRUIT apple = 1, banana = 2, cherry = 4;
FRUIT x := cherry;
CASE x IN
print(("It is an apple #",x, new line)),
print(("It is a banana #",x, new line)),
SKIP, # 3 not defined #
print(("It is a cherry #",x, new line))
OUT
SKIP # other values #
ESAC
END... |
http://rosettacode.org/wiki/Enumerations | Enumerations | Task
Create an enumeration of constants with and without explicit values.
| #AmigaE | AmigaE | ENUM APPLE, BANANA, CHERRY
PROC main()
DEF x
ForAll({x}, [APPLE, BANANA, CHERRY],
`WriteF('\d\n', x))
ENDPROC |
http://rosettacode.org/wiki/Enforced_immutability | Enforced immutability | Task
Demonstrate any means your language has to prevent the modification of values, or to create objects that cannot be modified after they have been created.
| #11l | 11l | -V min_size = 10 |
http://rosettacode.org/wiki/Ethiopian_multiplication | Ethiopian multiplication | Ethiopian multiplication is a method of multiplying integers using only addition, doubling, and halving.
Method:
Take two numbers to be multiplied and write them down at the top of two columns.
In the left-hand column repeatedly halve the last number, discarding any remainders, and write the result below the last ... | #ALGOL_W | ALGOL W | begin
% returns half of a %
integer procedure halve ( integer value a ) ; a div 2;
% returns a doubled %
integer procedure double ( integer value a ) ; a * 2;
% returns true if a is even, false otherwise %
logical procedure even ( integer value a ) ; not odd( a );
% returns the product of... |
http://rosettacode.org/wiki/Equilibrium_index | Equilibrium index | An equilibrium index of a sequence is an index into the sequence such that the sum of elements at lower indices is equal to the sum of elements at higher indices.
For example, in a sequence
A
{\displaystyle A}
:
A
0
=
−
7
{\displaystyle A_{0}=-7}
A
1
=
1
{\displaystyle A_{1}=1}
... | #AutoHotkey | AutoHotkey | Equilibrium_index(list, BaseIndex=0){
StringSplit, A, list, `,
Loop % A0 {
i := A_Index , Pre := Post := 0
loop, % A0
if (A_Index < i)
Pre += A%A_Index%
else if (A_Index > i)
Post += A%A_Index%
if (Pre = Post)
Res .= (Res?", ":"") i - (BaseIndex?0:1)
}
return Res
} |
http://rosettacode.org/wiki/Equilibrium_index | Equilibrium index | An equilibrium index of a sequence is an index into the sequence such that the sum of elements at lower indices is equal to the sum of elements at higher indices.
For example, in a sequence
A
{\displaystyle A}
:
A
0
=
−
7
{\displaystyle A_{0}=-7}
A
1
=
1
{\displaystyle A_{1}=1}
... | #AWK | AWK |
# syntax: GAWK -f EQUILIBRIUM_INDEX.AWK
BEGIN {
main("-7 1 5 2 -4 3 0")
main("2 4 6")
main("2 9 2")
main("1 -1 1 -1 1 -1 1")
exit(0)
}
function main(numbers, x) {
x = equilibrium(numbers)
printf("numbers: %s\n",numbers)
printf("indices: %s\n\n",length(x)==0?"none":x)
}
function equili... |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #COBOL | COBOL | IDENTIFICATION DIVISION.
PROGRAM-ID. Environment-Vars.
DATA DIVISION.
WORKING-STORAGE SECTION.
01 home PIC X(75).
PROCEDURE DIVISION.
* *> Method 1.
ACCEPT home FROM ENVIRONMENT "HOME"
DISPLAY home
* *> Method 2.
D... |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #CoffeeScript | CoffeeScript | for var_name in ['PATH', 'HOME', 'LANG', 'USER']
console.log var_name, process.env[var_name] |
http://rosettacode.org/wiki/Environment_variables | Environment variables | Task
Show how to get one of your process's environment variables.
The available variables vary by system; some of the common ones available on Unix include:
PATH
HOME
USER
| #Common_Lisp | Common Lisp | (lispworks:environment-variable "USER") |
http://rosettacode.org/wiki/Esthetic_numbers | Esthetic numbers | An esthetic number is a positive integer where every adjacent digit differs from its neighbour by 1.
E.G.
12 is an esthetic number. One and two differ by 1.
5654 is an esthetic number. Each digit is exactly 1 away from its neighbour.
890 is not an esthetic number. Nine and zero differ by 9.
These examples are n... | #Lua | Lua | function to(n, b)
local BASE = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"
if n == 0 then
return "0"
end
local ss = ""
while n > 0 do
local idx = (n % b) + 1
n = math.floor(n / b)
ss = ss .. BASE:sub(idx, idx)
end
return string.reverse(ss)
end
function isEsth... |
http://rosettacode.org/wiki/Euler%27s_sum_of_powers_conjecture | Euler's sum of powers conjecture | There is a conjecture in mathematics that held for over two hundred years before it was disproved by the finding of a counterexample in 1966 by Lander and Parkin.
Euler's (disproved) sum of powers conjecture
At least k positive kth powers are required to sum to a kth power,
except for the trivial case... | #C.2B.2B | C++ | #include <algorithm>
#include <iostream>
#include <cmath>
#include <set>
#include <vector>
using namespace std;
bool find()
{
const auto MAX = 250;
vector<double> pow5(MAX);
for (auto i = 1; i < MAX; i++)
pow5[i] = (double)i * i * i * i * i;
for (auto x0 = 1; x0 < MAX; x0++) {
for (a... |
http://rosettacode.org/wiki/Factorial | Factorial | Definitions
The factorial of 0 (zero) is defined as being 1 (unity).
The Factorial Function of a positive integer, n, is defined as the product of the sequence:
n, n-1, n-2, ... 1
Task
Write a function to return the factorial of a number.
Solutions can be iterat... | #Mirah | Mirah | def factorial_iterative(n:int)
2.upto(n-1) do |i|
n *= i
end
n
end
puts factorial_iterative 10 |
http://rosettacode.org/wiki/Even_or_odd | Even or odd | Task
Test whether an integer is even or odd.
There is more than one way to solve this task:
Use the even and odd predicates, if the language provides them.
Check the least significant digit. With binary integers, i bitwise-and 1 equals 0 iff i is even, or equals 1 iff i is odd.
Divide i by 2. The remainder equals... | #Arturo | Arturo | loop (neg 5)..5 [x][
if? even? x -> print [pad to :string x 4 ": even"]
else -> print [pad to :string x 4 ": odd"]
] |
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