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/Topological_sort | Topological sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Given a mapping between items, and items they depend on, a topological sort orders items so that no item precedes an item it depends upon.
The compiling of a library in the VHDL language has the constraint that a library must be compiled after any library it depends on.
A tool exists that extracts library dependencies.
Task
Write a function that will return a valid compile order of VHDL libraries from their dependencies.
Assume library names are single words.
Items mentioned as only dependents, (sic), have no dependents of their own, but their order of compiling must be given.
Any self dependencies should be ignored.
Any un-orderable dependencies should be flagged.
Use the following data as an example:
LIBRARY LIBRARY DEPENDENCIES
======= ====================
des_system_lib std synopsys std_cell_lib des_system_lib dw02 dw01 ramlib ieee
dw01 ieee dw01 dware gtech
dw02 ieee dw02 dware
dw03 std synopsys dware dw03 dw02 dw01 ieee gtech
dw04 dw04 ieee dw01 dware gtech
dw05 dw05 ieee dware
dw06 dw06 ieee dware
dw07 ieee dware
dware ieee dware
gtech ieee gtech
ramlib std ieee
std_cell_lib ieee std_cell_lib
synopsys
Note: the above data would be un-orderable if, for example, dw04 is added to the list of dependencies of dw01.
C.f.
Topological sort/Extracted top item.
There are two popular algorithms for topological sorting:
Kahn's 1962 topological sort [1]
depth-first search [2] [3]
| #Java | Java | import java.util.*;
public class TopologicalSort {
public static void main(String[] args) {
String s = "std, ieee, des_system_lib, dw01, dw02, dw03, dw04, dw05,"
+ "dw06, dw07, dware, gtech, ramlib, std_cell_lib, synopsys";
Graph g = new Graph(s, new int[][]{
{2, 0}, {2, 14}, {2, 13}, {2, 4}, {2, 3}, {2, 12}, {2, 1},
{3, 1}, {3, 10}, {3, 11},
{4, 1}, {4, 10},
{5, 0}, {5, 14}, {5, 10}, {5, 4}, {5, 3}, {5, 1}, {5, 11},
{6, 1}, {6, 3}, {6, 10}, {6, 11},
{7, 1}, {7, 10},
{8, 1}, {8, 10},
{9, 1}, {9, 10},
{10, 1},
{11, 1},
{12, 0}, {12, 1},
{13, 1}
});
System.out.println("Topologically sorted order: ");
System.out.println(g.topoSort());
}
}
class Graph {
String[] vertices;
boolean[][] adjacency;
int numVertices;
public Graph(String s, int[][] edges) {
vertices = s.split(",");
numVertices = vertices.length;
adjacency = new boolean[numVertices][numVertices];
for (int[] edge : edges)
adjacency[edge[0]][edge[1]] = true;
}
List<String> topoSort() {
List<String> result = new ArrayList<>();
List<Integer> todo = new LinkedList<>();
for (int i = 0; i < numVertices; i++)
todo.add(i);
try {
outer:
while (!todo.isEmpty()) {
for (Integer r : todo) {
if (!hasDependency(r, todo)) {
todo.remove(r);
result.add(vertices[r]);
// no need to worry about concurrent modification
continue outer;
}
}
throw new Exception("Graph has cycles");
}
} catch (Exception e) {
System.out.println(e);
return null;
}
return result;
}
boolean hasDependency(Integer r, List<Integer> todo) {
for (Integer c : todo) {
if (adjacency[r][c])
return true;
}
return false;
}
} |
http://rosettacode.org/wiki/Universal_Turing_machine | Universal Turing machine | One of the foundational mathematical constructs behind computer science
is the universal Turing Machine.
(Alan Turing introduced the idea of such a machine in 1936–1937.)
Indeed one way to definitively prove that a language
is turing-complete
is to implement a universal Turing machine in it.
Task
Simulate such a machine capable
of taking the definition of any other Turing machine and executing it.
Of course, you will not have an infinite tape,
but you should emulate this as much as is possible.
The three permissible actions on the tape are "left", "right" and "stay".
To test your universal Turing machine (and prove your programming language
is Turing complete!), you should execute the following two Turing machines
based on the following definitions.
Simple incrementer
States: q0, qf
Initial state: q0
Terminating states: qf
Permissible symbols: B, 1
Blank symbol: B
Rules:
(q0, 1, 1, right, q0)
(q0, B, 1, stay, qf)
The input for this machine should be a tape of 1 1 1
Three-state busy beaver
States: a, b, c, halt
Initial state: a
Terminating states: halt
Permissible symbols: 0, 1
Blank symbol: 0
Rules:
(a, 0, 1, right, b)
(a, 1, 1, left, c)
(b, 0, 1, left, a)
(b, 1, 1, right, b)
(c, 0, 1, left, b)
(c, 1, 1, stay, halt)
The input for this machine should be an empty tape.
Bonus:
5-state, 2-symbol probable Busy Beaver machine from Wikipedia
States: A, B, C, D, E, H
Initial state: A
Terminating states: H
Permissible symbols: 0, 1
Blank symbol: 0
Rules:
(A, 0, 1, right, B)
(A, 1, 1, left, C)
(B, 0, 1, right, C)
(B, 1, 1, right, B)
(C, 0, 1, right, D)
(C, 1, 0, left, E)
(D, 0, 1, left, A)
(D, 1, 1, left, D)
(E, 0, 1, stay, H)
(E, 1, 0, left, A)
The input for this machine should be an empty tape.
This machine runs for more than 47 millions steps.
| #Phix | Phix | with javascript_semantics
enum name, initState, endState, blank, rules
-- Machine definitions
constant incrementer = {
/*name =*/ "Simple incrementer",
/*initState =*/ "q0",
/*endState =*/ "qf",
/*blank =*/ "B",
/*rules =*/ {
{"q0", "1", "1", "right", "q0"},
{"q0", "B", "1", "stay", "qf"}
}
}
constant threeStateBB = {
/*name =*/ "Three-state busy beaver",
/*initState =*/ "a",
/*endState =*/ "halt",
/*blank =*/ "0",
/*rules =*/ {
{"a", "0", "1", "right", "b"},
{"a", "1", "1", "left", "c"},
{"b", "0", "1", "left", "a"},
{"b", "1", "1", "right", "b"},
{"c", "0", "1", "left", "b"},
{"c", "1", "1", "stay", "halt"}
}
}
constant fiveStateBB = {
/*name =*/ "Five-state busy beaver",
/*initState =*/ "A",
/*endState =*/ "H",
/*blank =*/ "0",
/*rules =*/ {
{"A", "0", "1", "right", "B"},
{"A", "1", "1", "left", "C"},
{"B", "0", "1", "right", "C"},
{"B", "1", "1", "right", "B"},
{"C", "0", "1", "right", "D"},
{"C", "1", "0", "left", "E"},
{"D", "0", "1", "left", "A"},
{"D", "1", "1", "left", "D"},
{"E", "0", "1", "stay", "H"},
{"E", "1", "0", "left", "A"}
}
}
procedure show(string state, integer headpos, sequence tape)
printf(1," %-6s | ",{state})
for p=1 to length(tape) do
printf(1,iff(p=headpos?"[%s]":" %s "),{tape[p]})
end for
printf(1,"\n")
end procedure
-- a universal turing machine
procedure UTM(sequence machine, sequence tape, integer countOnly=0)
string state = machine[initState]
integer headpos = 1, counter = 0
printf(1,"\n\n%s\n%s\n",{machine[name],repeat('=',length(machine[name]))})
if not countOnly then printf(1," State | Tape [head]\n---------------------\n") end if
while 1 do
if headpos>length(tape) then
tape = append(tape,machine[blank])
elsif headpos<1 then
tape = prepend(tape,machine[blank])
headpos = 1
end if
if not countOnly then show(state, headpos, tape) end if
for i=1 to length(machine[rules]) do
sequence rule = machine[rules][i]
if rule[1]=state and rule[2]=tape[headpos] then
tape[headpos] = rule[3]
if rule[4] == "left" then headpos -= 1 end if
if rule[4] == "right" then headpos += 1 end if
state = rule[5]
exit
end if
end for
counter += 1
if state=machine[endState] then exit end if
end while
if countOnly then
printf(1,"Steps taken: %d\n",{counter})
else
show(state, headpos, tape)
end if
end procedure
atom t0 = time()
UTM(incrementer, {"1", "1", "1"})
UTM(threeStateBB, {})
if platform()!=JS then -- 1min 7s
UTM(fiveStateBB, {}, countOnly:=1)
end if
?elapsed(time()-t0)
|
http://rosettacode.org/wiki/Totient_function | Totient function | The totient function is also known as:
Euler's totient function
Euler's phi totient function
phi totient function
Φ function (uppercase Greek phi)
φ function (lowercase Greek phi)
Definitions (as per number theory)
The totient function:
counts the integers up to a given positive integer n that are relatively prime to n
counts the integers k in the range 1 ≤ k ≤ n for which the greatest common divisor gcd(n,k) is equal to 1
counts numbers ≤ n and prime to n
If the totient number (for N) is one less than N, then N is prime.
Task
Create a totient function and:
Find and display (1 per line) for the 1st 25 integers:
the integer (the index)
the totient number for that integer
indicate if that integer is prime
Find and display the count of the primes up to 100
Find and display the count of the primes up to 1,000
Find and display the count of the primes up to 10,000
Find and display the count of the primes up to 100,000 (optional)
Show all output here.
Related task
Perfect totient numbers
Also see
Wikipedia: Euler's totient function.
MathWorld: totient function.
OEIS: Euler totient function phi(n).
| #PicoLisp | PicoLisp | (gc 32)
(de gcd (A B)
(until (=0 B)
(let M (% A B)
(setq A B B M) ) )
(abs A) )
(de totient (N)
(let C 0
(for I N
(and (=1 (gcd N I)) (inc 'C)) )
(cons C (= C (dec N))) ) )
(de p? (N)
(let C 0
(for A N
(and
(cdr (totient A))
(inc 'C) ) )
C ) )
(let Fmt (3 7 10)
(tab Fmt "N" "Phi" "Prime?")
(tab Fmt "-" "---" "------")
(for N 25
(tab Fmt
N
(car (setq @ (totient N)))
(cdr @) ) ) )
(println
(mapcar p? (25 100 1000 10000 100000)) ) |
http://rosettacode.org/wiki/Trigonometric_functions | Trigonometric functions | Task
If your language has a library or built-in functions for trigonometry, show examples of:
sine
cosine
tangent
inverses (of the above)
using the same angle in radians and degrees.
For the non-inverse functions, each radian/degree pair should use arguments that evaluate to the same angle (that is, it's not necessary to use the same angle for all three regular functions as long as the two sine calls use the same angle).
For the inverse functions, use the same number and convert its answer to radians and degrees.
If your language does not have trigonometric functions available or only has some available, write functions to calculate the functions based on any known approximation or identity.
| #HicEst | HicEst | pi = 4.0 * ATAN(1.0)
dtor = pi / 180.0
rtod = 180.0 / pi
radians = pi / 4.0
degrees = 45.0
WRITE(ClipBoard) SIN(radians), SIN(degrees*dtor)
WRITE(ClipBoard) COS(radians), COS(degrees*dtor)
WRITE(ClipBoard) TAN(radians), TAN(degrees*dtor)
WRITE(ClipBoard) ASIN(SIN(radians)), ASIN(SIN(degrees*dtor))*rtod
WRITE(ClipBoard) ACOS(COS(radians)), ACOS(COS(degrees*dtor))*rtod
WRITE(ClipBoard) ATAN(TAN(radians)), ATAN(TAN(degrees*dtor))*rtod |
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm | Trabb Pardo–Knuth algorithm | The TPK algorithm is an early example of a programming chrestomathy.
It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages.
The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of the algorithm.
From the wikipedia entry:
ask for 11 numbers to be read into a sequence S
reverse sequence S
for each item in sequence S
result := call a function to do an operation
if result overflows
alert user
else
print result
The task is to implement the algorithm:
Use the function:
f
(
x
)
=
|
x
|
0.5
+
5
x
3
{\displaystyle f(x)=|x|^{0.5}+5x^{3}}
The overflow condition is an answer of greater than 400.
The 'user alert' should not stop processing of other items of the sequence.
Print a prompt before accepting eleven, textual, numeric inputs.
You may optionally print the item as well as its associated result, but the results must be in reverse order of input.
The sequence S may be 'implied' and so not shown explicitly.
Print and show the program in action from a typical run here. (If the output is graphical rather than text then either add a screendump or describe textually what is displayed).
| #REXX | REXX | /*REXX program implements the Trabb─Pardo-Knuth algorithm for N numbers (default is 11).*/
numeric digits 200 /*the number of digits precision to use*/
parse arg N .; if N=='' | N=="," then N=11 /*Not specified? Then use the default.*/
maxValue= 400 /*the maximum value f(x) can have. */
wid= 20 /* ··· but only show this many digits.*/
frac= 5 /* ··· show this # of fractional digs.*/
say ' _____' /* ◄─── this SAY displays a vinculum.*/
say 'function: ƒ(x) ≡ √ │x│ + (5 * x^3)'
prompt= 'enter ' N " numbers for the Trabb─Pardo─Knuth algorithm: (or Quit)"
do ask=0; say; /*░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░*/
say prompt; say; pull $; say /*░*/
if abbrev('QUIT',$,1) then do; say 'quitting.'; exit 1; end /*░*/
ok=0 /*░*/
select /*validate there're N numbers.*/ /*░*/
when $='' then say "no numbers entered" /*░*/
when words($)<N then say "not enough numbers entered" /*░*/
when words($)>N then say "too many numbers entered" /*░*/
otherwise ok=1 /*░*/
end /*select*/ /*░*/
if \ok then iterate /* [↓] W=max width. */ /*░*/
w=0; do v=1 for N; _=word($, v); w=max(w, length(_) ) /*░*/
if datatype(_, 'N') then iterate /*numeric ?*/ /*░*/
say _ "isn't numeric"; iterate ask /*░*/
end /*v*/ /*░*/
leave /*░*/
end /*ask*/ /*░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░*/
say 'numbers entered: ' $
say
do i=N by -1 for N; #=word($, i) / 1 /*process the numbers in reverse. */
g = fmt( f( # ) ) /*invoke function ƒ with arg number.*/
gw=right( 'ƒ('#") ", w+7) /*nicely formatted ƒ(number). */
if g>maxValue then say gw "is > " maxValue ' ['space(g)"]"
else say gw " = " g
end /*i*/ /* [↑] display the result to terminal.*/
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
f: procedure; parse arg x; return sqrt( abs(x) ) + 5 * x**3
/*──────────────────────────────────────────────────────────────────────────────────────*/
fmt: z=right(translate(format(arg(1), wid, frac), 'e', "E"), wid) /*right adjust; use e*/
if pos(.,z)\==0 then z=left(strip(strip(z,'T',0),"T",.),wid) /*strip trailing 0 &.*/
return right(z, wid - 4*(pos('e', z)==0) ) /*adjust: no exponent*/
/*──────────────────────────────────────────────────────────────────────────────────────*/
sqrt: procedure; parse arg x; if x=0 then return 0; d=digits(); m.=9; numeric form; h=d+6
numeric digits; parse value format(x,2,1,,0) 'E0' with g 'E' _ .; g=g *.5'e'_ % 2
do j=0 while h>9; m.j=h; h=h % 2 + 1; end /*j*/
do k=j+5 to 0 by -1; numeric digits m.k; g=(g+x/g)*.5; end /*k*/; return g |
http://rosettacode.org/wiki/Truncatable_primes | Truncatable primes | A truncatable prime is a prime number that when you successively remove digits from one end of the prime, you are left with a new prime number.
Examples
The number 997 is called a left-truncatable prime as the numbers 997, 97, and 7 are all prime.
The number 7393 is a right-truncatable prime as the numbers 7393, 739, 73, and 7 formed by removing digits from its right are also prime.
No zeroes are allowed in truncatable primes.
Task
The task is to find the largest left-truncatable and right-truncatable primes less than one million (base 10 is implied).
Related tasks
Find largest left truncatable prime in a given base
Sieve of Eratosthenes
See also
Truncatable Prime from MathWorld.]
| #Quackery | Quackery | 1000000 eratosthenes
[ false swap
number$ witheach
[ char 0 =
if [ conclude not ] ] ] is haszero ( n --> b )
[ 10 / ] is truncright ( n --> n )
[ number$
behead drop $->n drop ] is truncleft ( n --> n )
[ dup isprime not iff
[ drop false ] done
dup haszero iff
[ drop false ] done
true swap
[ truncleft
dup 0 > while
dup isprime not iff
[ dip not ] done
again ] drop ] is ltruncatable ( n --> b )
[ dup isprime not iff
[ drop false ] done
dup haszero iff
[ drop false ] done
true swap
[ truncright
dup 0 > while
dup isprime not iff
[ dip not ] done
again ] drop ] is rtruncatable ( n --> b )
say "Left: "
1000000 times [ i ltruncatable if [ i echo conclude ] ]
cr
say "Right: "
1000000 times [ i rtruncatable if [ i echo conclude ] ]
cr |
http://rosettacode.org/wiki/Tree_traversal | Tree traversal | Task
Implement a binary tree where each node carries an integer, and implement:
pre-order,
in-order,
post-order, and
level-order traversal.
Use those traversals to output the following tree:
1
/ \
/ \
/ \
2 3
/ \ /
4 5 6
/ / \
7 8 9
The correct output should look like this:
preorder: 1 2 4 7 5 3 6 8 9
inorder: 7 4 2 5 1 8 6 9 3
postorder: 7 4 5 2 8 9 6 3 1
level-order: 1 2 3 4 5 6 7 8 9
See also
Wikipedia article: Tree traversal.
| #Elixir | Elixir | defmodule Tree_Traversal do
defp tnode, do: {}
defp tnode(v), do: {:node, v, {}, {}}
defp tnode(v,l,r), do: {:node, v, l, r}
defp preorder(_,{}), do: :ok
defp preorder(f,{:node,v,l,r}) do
f.(v)
preorder(f,l)
preorder(f,r)
end
defp inorder(_,{}), do: :ok
defp inorder(f,{:node,v,l,r}) do
inorder(f,l)
f.(v)
inorder(f,r)
end
defp postorder(_,{}), do: :ok
defp postorder(f,{:node,v,l,r}) do
postorder(f,l)
postorder(f,r)
f.(v)
end
defp levelorder(_, []), do: []
defp levelorder(f, [{}|t]), do: levelorder(f, t)
defp levelorder(f, [{:node,v,l,r}|t]) do
f.(v)
levelorder(f, t++[l,r])
end
defp levelorder(f, x), do: levelorder(f, [x])
def main do
tree = tnode(1,
tnode(2,
tnode(4, tnode(7), tnode()),
tnode(5, tnode(), tnode())),
tnode(3,
tnode(6, tnode(8), tnode(9)),
tnode()))
f = fn x -> IO.write "#{x} " end
IO.write "preorder: "
preorder(f, tree)
IO.write "\ninorder: "
inorder(f, tree)
IO.write "\npostorder: "
postorder(f, tree)
IO.write "\nlevelorder: "
levelorder(f, tree)
IO.puts ""
end
end
Tree_Traversal.main |
http://rosettacode.org/wiki/Tokenize_a_string | Tokenize a string | Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word.
Display the words to the 'user', in the simplest manner possible, separated by a period.
To simplify, you may display a trailing period.
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Common_Lisp | Common Lisp | (defun comma-split (string)
(loop for start = 0 then (1+ finish)
for finish = (position #\, string :start start)
collecting (subseq string start finish)
until (null finish)))
(defun write-with-periods (strings)
(format t "~{~A~^.~}" strings)) |
http://rosettacode.org/wiki/Tokenize_a_string | Tokenize a string | Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word.
Display the words to the 'user', in the simplest manner possible, separated by a period.
To simplify, you may display a trailing period.
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Cowgol | Cowgol | include "cowgol.coh";
include "strings.coh";
# Tokenize a string. Note: the string is modified in place.
sub tokenize(sep: uint8, str: [uint8], out: [[uint8]]): (length: intptr) is
length := 0;
loop
[out] := str;
out := @next out;
length := length + 1;
while [str] != 0 and [str] != sep loop
str := @next str;
end loop;
if [str] == sep then
[str] := 0;
str := @next str;
else
break;
end if;
end loop;
end sub;
# The string
var string: [uint8] := "Hello,How,Are,You,Today";
# Make a mutable copy
var buf: uint8[64];
CopyString(string, &buf[0]);
# Tokenize the copy
var parts: [uint8][64];
var length := tokenize(',', &buf[0], &parts[0]) as @indexof parts;
# Print each string
var i: @indexof parts := 0;
while i < length loop
print(parts[i]);
print(".\n");
i := i + 1;
end loop; |
http://rosettacode.org/wiki/Time_a_function | Time a function | Task
Write a program which uses a timer (with the least granularity available
on your system) to time how long a function takes to execute.
Whenever possible, use methods which measure only the processing time used
by the current process; instead of the difference in system time
between start and finish, which could include time used by
other processes on the computer.
This task is intended as a subtask for Measure relative performance of sorting algorithms implementations.
| #Elena | Elena | import system'calendar;
import system'routines;
import system'threading;
import system'math;
import extensions;
someProcess()
{
threadControl.sleep(1000);
new Range(0,10000).filterBy:(x => x.mod:2 == 0).summarize();
}
public program()
{
var start := now;
someProcess();
var end := now;
console.printLine("Time elapsed in msec:",(end - start).Milliseconds)
} |
http://rosettacode.org/wiki/Time_a_function | Time a function | Task
Write a program which uses a timer (with the least granularity available
on your system) to time how long a function takes to execute.
Whenever possible, use methods which measure only the processing time used
by the current process; instead of the difference in system time
between start and finish, which could include time used by
other processes on the computer.
This task is intended as a subtask for Measure relative performance of sorting algorithms implementations.
| #Elixir | Elixir | iex(10)> :timer.tc(fn -> Enum.each(1..100000, fn x -> x*x end) end)
{236000, :ok} |
http://rosettacode.org/wiki/Top_rank_per_group | Top rank per group | Task
Find the top N salaries in each department, where N is provided as a parameter.
Use this data as a formatted internal data structure (adapt it to your language-native idioms, rather than parse at runtime), or identify your external data source:
Employee Name,Employee ID,Salary,Department
Tyler Bennett,E10297,32000,D101
John Rappl,E21437,47000,D050
George Woltman,E00127,53500,D101
Adam Smith,E63535,18000,D202
Claire Buckman,E39876,27800,D202
David McClellan,E04242,41500,D101
Rich Holcomb,E01234,49500,D202
Nathan Adams,E41298,21900,D050
Richard Potter,E43128,15900,D101
David Motsinger,E27002,19250,D202
Tim Sampair,E03033,27000,D101
Kim Arlich,E10001,57000,D190
Timothy Grove,E16398,29900,D190
| #Erlang | Erlang | <-module( top_rank_per_group ).
-export( [employees/0, employees_in_department/2, highest_payed/2, task/1] ).
-record( employee, {name, id, salery, department} ).
employees() ->
[#employee{name="Tyler Bennett", id="E10297", salery=32000, department="D101"},
#employee{name="John Rappl", id="E21437", salery=47000, department="D101"},
#employee{name="George Woltman", id="E00127", salery=53500, department="D050"},
#employee{name="Adam Smith", id="E63535", salery=18000, department="D202"},
#employee{name="Claire Buckman", id="E39876", salery=27800, department="D202"},
#employee{name="David McClellan", id="E04242", salery=41500, department="D101"},
#employee{name="Rich Holcomb", id="E01234", salery=49500, department="D202"},
#employee{name="Nathan Adams", id="E41298", salery=21900, department="D050"},
#employee{name="Richard Potter", id="E43128", salery=15900, department="D101"},
#employee{name="David Motsinger", id="E27002", salery=19250, department="D202"},
#employee{name="Tim Sampair", id="E03033", salery=27000, department="D101"},
#employee{name="Kim Arlich", id="E10001", salery=57000, department="D190"},
#employee{name="Timothy Grove", id="E16398", salery=29900, department="D190"}].
employees_in_department( Department, Employees ) -> [X || #employee{department=D}=X <- Employees, D =:= Department].
highest_payed( N, Employees ) ->
{Highest, _T} = lists:split( N, lists:reverse(lists:keysort(#employee.salery, Employees)) ),
Highest.
task( N ) ->
Employees = employees(),
Departments = lists:usort( [X || #employee{department=X} <- Employees] ),
Employees_in_departments = [employees_in_department(X, Employees) || X <- Departments],
Highest_payed_in_departments = [highest_payed(N, Xs) || Xs <- Employees_in_departments],
[task_write(X) || X <- Highest_payed_in_departments].
task_write( Highest_payeds ) ->
[io:fwrite( "~p ~p: ~p~n", [Department, Salery, Name]) || #employee{department=Department, salery=Salery, name=Name} <- Highest_payeds],
io:nl().
|
http://rosettacode.org/wiki/Tic-tac-toe | Tic-tac-toe |
Task
Play a game of tic-tac-toe.
Ensure that legal moves are played and that a winning position is notified.
Tic-tac-toe is also known as:
naughts and crosses
tic tac toe
tick tack toe
three in a row
tres en rayo and
Xs and Os
See also
MathWorld™, Tic-Tac-Toe game.
Wikipedia tic-tac-toe.
| #C.2B.2B | C++ |
#include <windows.h>
#include <iostream>
#include <string>
//--------------------------------------------------------------------------------------------------
using namespace std;
//--------------------------------------------------------------------------------------------------
enum players { Computer, Human, Draw, None };
const int iWin[8][3] = { { 0, 1, 2 }, { 3, 4, 5 }, { 6, 7, 8 }, { 0, 3, 6 }, { 1, 4, 7 }, { 2, 5, 8 }, { 0, 4, 8 }, { 2, 4, 6 } };
//--------------------------------------------------------------------------------------------------
class ttt
{
public:
ttt() { _p = rand() % 2; reset(); }
void play()
{
int res = Draw;
while( true )
{
drawGrid();
while( true )
{
if( _p ) getHumanMove();
else getComputerMove();
drawGrid();
res = checkVictory();
if( res != None ) break;
++_p %= 2;
}
if( res == Human ) cout << "CONGRATULATIONS HUMAN --- You won!";
else if( res == Computer ) cout << "NOT SO MUCH A SURPRISE --- I won!";
else cout << "It's a draw!";
cout << endl << endl;
string r;
cout << "Play again( Y / N )? "; cin >> r;
if( r != "Y" && r != "y" ) return;
++_p %= 2;
reset();
}
}
private:
void reset()
{
for( int x = 0; x < 9; x++ )
_field[x] = None;
}
void drawGrid()
{
system( "cls" );
COORD c = { 0, 2 };
SetConsoleCursorPosition( GetStdHandle( STD_OUTPUT_HANDLE ), c );
cout << " 1 | 2 | 3 " << endl;
cout << "---+---+---" << endl;
cout << " 4 | 5 | 6 " << endl;
cout << "---+---+---" << endl;
cout << " 7 | 8 | 9 " << endl << endl << endl;
int f = 0;
for( int y = 0; y < 5; y += 2 )
for( int x = 1; x < 11; x += 4 )
{
if( _field[f] != None )
{
COORD c = { x, 2 + y };
SetConsoleCursorPosition( GetStdHandle( STD_OUTPUT_HANDLE ), c );
string o = _field[f] == Computer ? "X" : "O";
cout << o;
}
f++;
}
c.Y = 9;
SetConsoleCursorPosition( GetStdHandle( STD_OUTPUT_HANDLE ), c );
}
int checkVictory()
{
for( int i = 0; i < 8; i++ )
{
if( _field[iWin[i][0]] != None &&
_field[iWin[i][0]] == _field[iWin[i][1]] && _field[iWin[i][1]] == _field[iWin[i][2]] )
{
return _field[iWin[i][0]];
}
}
int i = 0;
for( int f = 0; f < 9; f++ )
{
if( _field[f] != None )
i++;
}
if( i == 9 ) return Draw;
return None;
}
void getHumanMove()
{
int m;
cout << "Enter your move ( 1 - 9 ) ";
while( true )
{
m = 0;
do
{ cin >> m; }
while( m < 1 && m > 9 );
if( _field[m - 1] != None )
cout << "Invalid move. Try again!" << endl;
else break;
}
_field[m - 1] = Human;
}
void getComputerMove()
{
int move = 0;
do{ move = rand() % 9; }
while( _field[move] != None );
for( int i = 0; i < 8; i++ )
{
int try1 = iWin[i][0], try2 = iWin[i][1], try3 = iWin[i][2];
if( _field[try1] != None && _field[try1] == _field[try2] && _field[try3] == None )
{
move = try3;
if( _field[try1] == Computer ) break;
}
if( _field[try1] != None && _field[try1] == _field[try3] && _field[try2] == None )
{
move = try2;
if( _field[try1] == Computer ) break;
}
if( _field[try2] != None && _field[try2] == _field[try3] && _field[try1] == None )
{
move = try1;
if( _field[try2] == Computer ) break;
}
}
_field[move] = Computer;
}
int _p;
int _field[9];
};
//--------------------------------------------------------------------------------------------------
int main( int argc, char* argv[] )
{
srand( GetTickCount() );
ttt tic;
tic.play();
return 0;
}
//--------------------------------------------------------------------------------------------------
|
http://rosettacode.org/wiki/Towers_of_Hanoi | Towers of Hanoi | Task
Solve the Towers of Hanoi problem with recursion.
| #Bracmat | Bracmat | ( ( move
= n from to via
. !arg:(?n,?from,?to,?via)
& ( !n:>0
& move$(!n+-1,!from,!via,!to)
& out$("Move disk from pole " !from " to pole " !to)
& move$(!n+-1,!via,!to,!from)
|
)
)
& move$(4,1,2,3)
); |
http://rosettacode.org/wiki/Thue-Morse | Thue-Morse | Task
Create a Thue-Morse sequence.
See also
YouTube entry: The Fairest Sharing Sequence Ever
YouTube entry: Math and OCD - My story with the Thue-Morse sequence
Task: Fairshare between two and more
| #NewLISP | NewLISP | (define (Thue-Morse loops)
(setf TM '(0))
(println TM)
(for (i 1 (-- loops))
(setf tmp TM)
(replace '0 tmp '_)
(replace '1 tmp '0)
(replace '_ tmp '1)
(setf TM (append TM tmp))
(println TM)
)
)
(Thue-Morse 5)
(exit)
|
http://rosettacode.org/wiki/Thue-Morse | Thue-Morse | Task
Create a Thue-Morse sequence.
See also
YouTube entry: The Fairest Sharing Sequence Ever
YouTube entry: Math and OCD - My story with the Thue-Morse sequence
Task: Fairshare between two and more
| #Nim | Nim | import sequtils, strutils
iterator thueMorse(maxSteps = int.high): string =
var val = @[0]
var count = 0
while true:
yield val.join()
inc count
if count == maxSteps: break
val &= val.mapIt(1 - it)
for bits in thueMorse(6):
echo bits |
http://rosettacode.org/wiki/Tokenize_a_string_with_escaping | Tokenize a string with escaping | Task[edit]
Write a function or program that can split a string at each non-escaped occurrence of a separator character.
It should accept three input parameters:
The string
The separator character
The escape character
It should output a list of strings.
Details
Rules for splitting:
The fields that were separated by the separators, become the elements of the output list.
Empty fields should be preserved, even at the start and end.
Rules for escaping:
"Escaped" means preceded by an occurrence of the escape character that is not already escaped itself.
When the escape character precedes a character that has no special meaning, it still counts as an escape (but does not do anything special).
Each occurrence of the escape character that was used to escape something, should not become part of the output.
Test case
Demonstrate that your function satisfies the following test-case:
Input
Output
string:
one^|uno||three^^^^|four^^^|^cuatro|
separator character:
|
escape character:
^
one|uno
three^^
four^|cuatro
(Print the output list in any format you like, as long as it is it easy to see what the fields are.)
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #OCaml | OCaml | let split_with_escaping ~esc ~sep s =
let len = String.length s in
let buf = Buffer.create 16 in
let rec loop i =
if i = len then [Buffer.contents buf]
else if s.[i] = esc && i + 1 < len then begin
Buffer.add_char buf s.[i + 1];
loop (i + 2)
end else if s.[i] = sep then begin
let s = Buffer.contents buf in
Buffer.clear buf;
s :: loop (i + 1)
end else begin
Buffer.add_char buf s.[i];
loop (i + 1)
end
in
loop 0 |
http://rosettacode.org/wiki/Topological_sort | Topological sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Given a mapping between items, and items they depend on, a topological sort orders items so that no item precedes an item it depends upon.
The compiling of a library in the VHDL language has the constraint that a library must be compiled after any library it depends on.
A tool exists that extracts library dependencies.
Task
Write a function that will return a valid compile order of VHDL libraries from their dependencies.
Assume library names are single words.
Items mentioned as only dependents, (sic), have no dependents of their own, but their order of compiling must be given.
Any self dependencies should be ignored.
Any un-orderable dependencies should be flagged.
Use the following data as an example:
LIBRARY LIBRARY DEPENDENCIES
======= ====================
des_system_lib std synopsys std_cell_lib des_system_lib dw02 dw01 ramlib ieee
dw01 ieee dw01 dware gtech
dw02 ieee dw02 dware
dw03 std synopsys dware dw03 dw02 dw01 ieee gtech
dw04 dw04 ieee dw01 dware gtech
dw05 dw05 ieee dware
dw06 dw06 ieee dware
dw07 ieee dware
dware ieee dware
gtech ieee gtech
ramlib std ieee
std_cell_lib ieee std_cell_lib
synopsys
Note: the above data would be un-orderable if, for example, dw04 is added to the list of dependencies of dw01.
C.f.
Topological sort/Extracted top item.
There are two popular algorithms for topological sorting:
Kahn's 1962 topological sort [1]
depth-first search [2] [3]
| #JavaScript | JavaScript | const libs =
`des_system_lib std synopsys std_cell_lib des_system_lib dw02 dw01 ramlib ieee
dw01 ieee dw01 dware gtech
dw02 ieee dw02 dware
dw03 std synopsys dware dw03 dw02 dw01 ieee gtech
dw04 dw04 ieee dw01 dware gtech
dw05 dw05 ieee dware
dw06 dw06 ieee dware
dw07 ieee dware
dware ieee dware
gtech ieee gtech
ramlib std ieee
std_cell_lib ieee std_cell_lib
synopsys`;
// A map of the input data, with the keys as the packages, and the values as
// and array of packages on which it depends.
const D = libs
.split('\n')
.map(e => e.split(' ').filter(e => e != ''))
.reduce((p, c) =>
p.set(c[0], c.filter((e, i) => i > 0 && e !== c[0] ? e : null)), new Map());
[].concat(...D.values()).forEach(e => {
D.set(e, D.get(e) || [])
});
// The above map rotated so that it represents a DAG of the form
// Map {
// A => [ A, B, C],
// B => [C],
// C => []
// }
// where each key represents a node, and the array contains the edges.
const G = [...D.keys()].reduce((p, c) =>
p.set(
c,
[...D.keys()].filter(e => D.get(e).includes(c))),
new Map()
);
// An array of leaf nodes; nodes with 0 in degrees.
const Q = [...D.keys()].filter(e => D.get(e).length == 0);
// The result array.
const S = [];
while (Q.length) {
const u = Q.pop();
S.push(u);
G.get(u).forEach(v => {
D.set(v, D.get(v).filter(e => e !== u));
if (D.get(v).length == 0) {
Q.push(v);
}
});
}
console.log('Solution:', S);
|
http://rosettacode.org/wiki/Universal_Turing_machine | Universal Turing machine | One of the foundational mathematical constructs behind computer science
is the universal Turing Machine.
(Alan Turing introduced the idea of such a machine in 1936–1937.)
Indeed one way to definitively prove that a language
is turing-complete
is to implement a universal Turing machine in it.
Task
Simulate such a machine capable
of taking the definition of any other Turing machine and executing it.
Of course, you will not have an infinite tape,
but you should emulate this as much as is possible.
The three permissible actions on the tape are "left", "right" and "stay".
To test your universal Turing machine (and prove your programming language
is Turing complete!), you should execute the following two Turing machines
based on the following definitions.
Simple incrementer
States: q0, qf
Initial state: q0
Terminating states: qf
Permissible symbols: B, 1
Blank symbol: B
Rules:
(q0, 1, 1, right, q0)
(q0, B, 1, stay, qf)
The input for this machine should be a tape of 1 1 1
Three-state busy beaver
States: a, b, c, halt
Initial state: a
Terminating states: halt
Permissible symbols: 0, 1
Blank symbol: 0
Rules:
(a, 0, 1, right, b)
(a, 1, 1, left, c)
(b, 0, 1, left, a)
(b, 1, 1, right, b)
(c, 0, 1, left, b)
(c, 1, 1, stay, halt)
The input for this machine should be an empty tape.
Bonus:
5-state, 2-symbol probable Busy Beaver machine from Wikipedia
States: A, B, C, D, E, H
Initial state: A
Terminating states: H
Permissible symbols: 0, 1
Blank symbol: 0
Rules:
(A, 0, 1, right, B)
(A, 1, 1, left, C)
(B, 0, 1, right, C)
(B, 1, 1, right, B)
(C, 0, 1, right, D)
(C, 1, 0, left, E)
(D, 0, 1, left, A)
(D, 1, 1, left, D)
(E, 0, 1, stay, H)
(E, 1, 0, left, A)
The input for this machine should be an empty tape.
This machine runs for more than 47 millions steps.
| #PHL | PHL | module turing;
extern printf;
struct @Command {
field @Integer tape {get:tape,set:stape};
field @Integer move {get:move,set:smove};
field @Integer next {get:next,set:snext};
@Command init(@Integer tape, @Integer move, @Integer next) [
this.stape(tape);
this.smove(move);
this.snext(next);
return this;
]
};
doc 2 dimansional array structure;
struct @Rules {
field @Integer maxstates { get: maxstates, set: smaxstates };
field @Integer maxvalue { get: maxvalue, set: smaxvalue };
field @Array<@Array<@Command> > table {get: t, set: st};
@Rules init(@Integer states, @Integer values)
[
this.smaxstates(states);
this.smaxvalue(values);
this.st(new @Array<@Array<@Command> >.init(states));
return this;
]
@Void setRule(@Integer state, @Integer tape, @Command command)
[
if (null == this::t.get(state)) {
this::t.set(state, new @Array<@Command>.init(this::maxvalue));
}
this::t.get(state).set(tape, command);
]
@Command getRule(@Integer state, @Integer tape)
[
return this::t.get(state).get(tape);
]
};
@Void emulateTuring(@Rules rules, @Integer start, @Integer stop, @Array<@Integer> tape, @Integer blank) [
var tapepointer = 0;
var state = start;
doc output;
printf("Tape\tState\n");
while (state != stop) {
doc add more cells to the tape;
if (tapepointer == tape::size) tape.add(blank);
if (tapepointer == 0-1) { tape = (new @Array<@Integer>..blank).addAll(tape); tapepointer = 0; }
doc output;
for (var i = 0; i < tape::size; i=i+1) {
printf("%i", tape.get(i));
}
printf("\t%i\n", state);
for (var i = 0; i < tapepointer; i=i+1) {
printf(" ");
}
printf("^\n");
doc the value of the current cell;
var tapeval = tape.get(tapepointer);
doc the current state;
var command = rules.getRule(state, tapeval);
tape.set(tapepointer, command::tape);
tapepointer = tapepointer + command::move;
state = command::next;
}
doc output;
for (var i = 0; i < tape::size; i=i+1) {
printf("%i", tape.get(i));
}
printf("\t%i\n", state);
for (var i = 0; i < tapepointer; i=i+1) {
printf(" ");
}
printf("^\n");
]
@Integer main [
doc incrementer;
doc 2 states, 2 symbols;
var rules = new @Rules.init(2, 2);
doc q0, 1 -> 1, right, q0;
doc q0, B -> 1, stay, qf;
rules.setRule(0, 1, new @Command.init(1, 1, 0));
rules.setRule(0, 0, new @Command.init(1, 0, 1));
doc tape = [1, 1, 1];
var tape = new @Array<@Integer>..1..1..1;
doc start turing machine;
emulateTuring(rules, 0, 1, tape, 0);
doc ---------------------------------------------------;
doc three state busy beaver;
doc 4 states, 2 symbols;
rules = new @Rules.init(4, 2);
doc a, 0 -> 1, right, b
a, 1 -> 1, left, c
b, 0 -> 1, left, a
b, 1 -> 1, right, b
c, 0 -> 1, left, b
c, 1 -> 1, stay, halt
;
doc a = 0,
b = 1,
c = 2,
halt = 3;
rules.setRule(0, 0, new @Command.init(1, 1, 1));
rules.setRule(0, 1, new @Command.init(1, 0-1, 2));
rules.setRule(1, 0, new @Command.init(1, 0-1, 0));
rules.setRule(1, 1, new @Command.init(1, 1, 1));
rules.setRule(2, 0, new @Command.init(1, 0-1, 1));
rules.setRule(2, 1, new @Command.init(1, 0, 3));
doc tape = [];
tape = new @Array<@Integer>;
doc start turing machine;
emulateTuring(rules, 0, 3, tape, 0);
return 0;
] |
http://rosettacode.org/wiki/Totient_function | Totient function | The totient function is also known as:
Euler's totient function
Euler's phi totient function
phi totient function
Φ function (uppercase Greek phi)
φ function (lowercase Greek phi)
Definitions (as per number theory)
The totient function:
counts the integers up to a given positive integer n that are relatively prime to n
counts the integers k in the range 1 ≤ k ≤ n for which the greatest common divisor gcd(n,k) is equal to 1
counts numbers ≤ n and prime to n
If the totient number (for N) is one less than N, then N is prime.
Task
Create a totient function and:
Find and display (1 per line) for the 1st 25 integers:
the integer (the index)
the totient number for that integer
indicate if that integer is prime
Find and display the count of the primes up to 100
Find and display the count of the primes up to 1,000
Find and display the count of the primes up to 10,000
Find and display the count of the primes up to 100,000 (optional)
Show all output here.
Related task
Perfect totient numbers
Also see
Wikipedia: Euler's totient function.
MathWorld: totient function.
OEIS: Euler totient function phi(n).
| #Python | Python | from math import gcd
def φ(n):
return sum(1 for k in range(1, n + 1) if gcd(n, k) == 1)
if __name__ == '__main__':
def is_prime(n):
return φ(n) == n - 1
for n in range(1, 26):
print(f" φ({n}) == {φ(n)}{', is prime' if is_prime(n) else ''}")
count = 0
for n in range(1, 10_000 + 1):
count += is_prime(n)
if n in {100, 1000, 10_000}:
print(f"Primes up to {n}: {count}") |
http://rosettacode.org/wiki/Trigonometric_functions | Trigonometric functions | Task
If your language has a library or built-in functions for trigonometry, show examples of:
sine
cosine
tangent
inverses (of the above)
using the same angle in radians and degrees.
For the non-inverse functions, each radian/degree pair should use arguments that evaluate to the same angle (that is, it's not necessary to use the same angle for all three regular functions as long as the two sine calls use the same angle).
For the inverse functions, use the same number and convert its answer to radians and degrees.
If your language does not have trigonometric functions available or only has some available, write functions to calculate the functions based on any known approximation or identity.
| #IDL | IDL | deg = 35 ; arbitrary number of degrees
rad = !dtor*deg ; system variables !dtor and !radeg convert between rad and deg |
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm | Trabb Pardo–Knuth algorithm | The TPK algorithm is an early example of a programming chrestomathy.
It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages.
The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of the algorithm.
From the wikipedia entry:
ask for 11 numbers to be read into a sequence S
reverse sequence S
for each item in sequence S
result := call a function to do an operation
if result overflows
alert user
else
print result
The task is to implement the algorithm:
Use the function:
f
(
x
)
=
|
x
|
0.5
+
5
x
3
{\displaystyle f(x)=|x|^{0.5}+5x^{3}}
The overflow condition is an answer of greater than 400.
The 'user alert' should not stop processing of other items of the sequence.
Print a prompt before accepting eleven, textual, numeric inputs.
You may optionally print the item as well as its associated result, but the results must be in reverse order of input.
The sequence S may be 'implied' and so not shown explicitly.
Print and show the program in action from a typical run here. (If the output is graphical rather than text then either add a screendump or describe textually what is displayed).
| #Ring | Ring |
# Project : Trabb Pardo–Knuth algorithm
decimals(3)
x = list(11)
for n=1 to 11
x[n] = n
next
s = [-5, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6]
for i = 1 to 11
see string(i) + " => " + s[i] + nl
next
see copy("-", 20) + nl
i = i - 1
while i > 0
see "f(" + string(s[i]) + ") = "
x = f(s[i])
if x > 400
see "-=< overflow >=-" + nl
else
see x + nl
ok
i = i - 1
end
func f(n)
return sqrt(fabs(n)) + 5 * pow(n, 3)
|
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm | Trabb Pardo–Knuth algorithm | The TPK algorithm is an early example of a programming chrestomathy.
It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages.
The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of the algorithm.
From the wikipedia entry:
ask for 11 numbers to be read into a sequence S
reverse sequence S
for each item in sequence S
result := call a function to do an operation
if result overflows
alert user
else
print result
The task is to implement the algorithm:
Use the function:
f
(
x
)
=
|
x
|
0.5
+
5
x
3
{\displaystyle f(x)=|x|^{0.5}+5x^{3}}
The overflow condition is an answer of greater than 400.
The 'user alert' should not stop processing of other items of the sequence.
Print a prompt before accepting eleven, textual, numeric inputs.
You may optionally print the item as well as its associated result, but the results must be in reverse order of input.
The sequence S may be 'implied' and so not shown explicitly.
Print and show the program in action from a typical run here. (If the output is graphical rather than text then either add a screendump or describe textually what is displayed).
| #Ruby | Ruby | def f(x) x.abs ** 0.5 + 5 * x ** 3 end
puts "Please enter 11 numbers:"
nums = 11.times.map{ gets.to_f }
nums.reverse_each do |n|
print "f(#{n}) = "
res = f(n)
puts res > 400 ? "Overflow!" : res
end |
http://rosettacode.org/wiki/Truncatable_primes | Truncatable primes | A truncatable prime is a prime number that when you successively remove digits from one end of the prime, you are left with a new prime number.
Examples
The number 997 is called a left-truncatable prime as the numbers 997, 97, and 7 are all prime.
The number 7393 is a right-truncatable prime as the numbers 7393, 739, 73, and 7 formed by removing digits from its right are also prime.
No zeroes are allowed in truncatable primes.
Task
The task is to find the largest left-truncatable and right-truncatable primes less than one million (base 10 is implied).
Related tasks
Find largest left truncatable prime in a given base
Sieve of Eratosthenes
See also
Truncatable Prime from MathWorld.]
| #Racket | Racket |
#lang racket
(require math/number-theory)
(define (truncate-right n)
(quotient n 10))
(define (truncate-left n)
(define s (number->string n))
(string->number (substring s 1 (string-length s))))
(define (contains-zero? n)
(member #\0 (string->list (number->string n))))
(define (truncatable? truncate n)
(and (prime? n)
(not (contains-zero? n))
(or (< n 10)
(truncatable? truncate (truncate n)))))
; largest left truncatable prime
(for/first ([n (in-range 1000000 1 -1)]
#:when (truncatable? truncate-left n))
n)
; largest right truncatable prime
(for/first ([n (in-range 1000000 1 -1)]
#:when (truncatable? truncate-right n))
n)
; Output:
998443
739399
|
http://rosettacode.org/wiki/Tree_traversal | Tree traversal | Task
Implement a binary tree where each node carries an integer, and implement:
pre-order,
in-order,
post-order, and
level-order traversal.
Use those traversals to output the following tree:
1
/ \
/ \
/ \
2 3
/ \ /
4 5 6
/ / \
7 8 9
The correct output should look like this:
preorder: 1 2 4 7 5 3 6 8 9
inorder: 7 4 2 5 1 8 6 9 3
postorder: 7 4 5 2 8 9 6 3 1
level-order: 1 2 3 4 5 6 7 8 9
See also
Wikipedia article: Tree traversal.
| #Erlang | Erlang | -module(tree_traversal).
-export([main/0]).
-export([preorder/2, inorder/2, postorder/2, levelorder/2]).
-export([tnode/0, tnode/1, tnode/3]).
-define(NEWLINE, io:format("~n")).
tnode() -> {}.
tnode(V) -> {node, V, {}, {}}.
tnode(V,L,R) -> {node, V, L, R}.
preorder(_,{}) -> ok;
preorder(F,{node,V,L,R}) ->
F(V), preorder(F,L), preorder(F,R).
inorder(_,{}) -> ok;
inorder(F,{node,V,L,R}) ->
inorder(F,L), F(V), inorder(F,R).
postorder(_,{}) -> ok;
postorder(F,{node,V,L,R}) ->
postorder(F,L), postorder(F,R), F(V).
levelorder(_, []) -> [];
levelorder(F, [{}|T]) -> levelorder(F, T);
levelorder(F, [{node,V,L,R}|T]) ->
F(V), levelorder(F, T++[L,R]);
levelorder(F, X) -> levelorder(F, [X]).
main() ->
Tree = tnode(1,
tnode(2,
tnode(4, tnode(7), tnode()),
tnode(5, tnode(), tnode())),
tnode(3,
tnode(6, tnode(8), tnode(9)),
tnode())),
F = fun(X) -> io:format("~p ",[X]) end,
preorder(F, Tree), ?NEWLINE,
inorder(F, Tree), ?NEWLINE,
postorder(F, Tree), ?NEWLINE,
levelorder(F, Tree), ?NEWLINE. |
http://rosettacode.org/wiki/Tokenize_a_string | Tokenize a string | Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word.
Display the words to the 'user', in the simplest manner possible, separated by a period.
To simplify, you may display a trailing period.
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Crystal | Crystal | puts "Hello,How,Are,You,Today".split(',').join('.') |
http://rosettacode.org/wiki/Tokenize_a_string | Tokenize a string | Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word.
Display the words to the 'user', in the simplest manner possible, separated by a period.
To simplify, you may display a trailing period.
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #D | D | void main() {
import std.stdio, std.string;
"Hello,How,Are,You,Today".split(',').join('.').writeln;
} |
http://rosettacode.org/wiki/Time_a_function | Time a function | Task
Write a program which uses a timer (with the least granularity available
on your system) to time how long a function takes to execute.
Whenever possible, use methods which measure only the processing time used
by the current process; instead of the difference in system time
between start and finish, which could include time used by
other processes on the computer.
This task is intended as a subtask for Measure relative performance of sorting algorithms implementations.
| #Erlang | Erlang |
5> {Time,Result} = timer:tc(fun () -> lists:foreach(fun(X) -> X*X end, lists:seq(1,100000)) end).
{226391,ok}
6> Time/1000000. % Time is in microseconds.
0.226391
7> % Time is in microseconds.
|
http://rosettacode.org/wiki/Time_a_function | Time a function | Task
Write a program which uses a timer (with the least granularity available
on your system) to time how long a function takes to execute.
Whenever possible, use methods which measure only the processing time used
by the current process; instead of the difference in system time
between start and finish, which could include time used by
other processes on the computer.
This task is intended as a subtask for Measure relative performance of sorting algorithms implementations.
| #Euphoria | Euphoria | atom t
t = time()
some_procedure()
t = time() - t
printf(1,"Elapsed %f seconds.\n",t) |
http://rosettacode.org/wiki/Top_rank_per_group | Top rank per group | Task
Find the top N salaries in each department, where N is provided as a parameter.
Use this data as a formatted internal data structure (adapt it to your language-native idioms, rather than parse at runtime), or identify your external data source:
Employee Name,Employee ID,Salary,Department
Tyler Bennett,E10297,32000,D101
John Rappl,E21437,47000,D050
George Woltman,E00127,53500,D101
Adam Smith,E63535,18000,D202
Claire Buckman,E39876,27800,D202
David McClellan,E04242,41500,D101
Rich Holcomb,E01234,49500,D202
Nathan Adams,E41298,21900,D050
Richard Potter,E43128,15900,D101
David Motsinger,E27002,19250,D202
Tim Sampair,E03033,27000,D101
Kim Arlich,E10001,57000,D190
Timothy Grove,E16398,29900,D190
| #F.23 | F# | let data =
[
"Tyler Bennett", "E10297", 32000, "D101";
"John Rappl", "E21437", 47000, "D050";
"George Woltman", "E00127", 53500, "D101";
"Adam Smith", "E63535", 18000, "D202";
"Claire Buckman", "E39876", 27800, "D202";
"David McClellan", "E04242", 41500, "D101";
"Rich Holcomb", "E01234", 49500, "D202";
"Nathan Adams", "E41298", 21900, "D050";
"Richard Potter", "E43128", 15900, "D101";
"David Motsinger", "E27002", 19250, "D202";
"Tim Sampair", "E03033", 27000, "D101";
"Kim Arlich", "E10001", 57000, "D190";
"Timothy Grove", "E16398", 29900, "D190";
]
let topRank n =
Seq.groupBy (fun (_, _, _, d) -> d) data
|> Seq.map (snd >> Seq.sortBy (fun (_, _, s, _) -> -s) >> Seq.take n) |
http://rosettacode.org/wiki/Tic-tac-toe | Tic-tac-toe |
Task
Play a game of tic-tac-toe.
Ensure that legal moves are played and that a winning position is notified.
Tic-tac-toe is also known as:
naughts and crosses
tic tac toe
tick tack toe
three in a row
tres en rayo and
Xs and Os
See also
MathWorld™, Tic-Tac-Toe game.
Wikipedia tic-tac-toe.
| #Common_Lisp | Common Lisp |
(defun generate-board ()
(loop repeat 9 collect nil))
(defparameter *straights* '((1 2 3) (4 5 6) (7 8 9) (1 4 7) (2 5 8) (3 6 9) (1 5 9) (3 5 7)))
(defparameter *current-player* 'x)
(defun get-board-elt (n board)
(nth (1- n) board))
(defun legal-p (n board)
(null (get-board-elt n board)))
(defun set-board-elt (n board symbol)
(if (legal-p n board)
(setf (nth (1- n) board) symbol)
(progn (format t "Illegal move. Try again.~&")
(set-board-elt (read) board symbol))))
(defun list-legal-moves (board)
(loop for i from 1 to (length board)
when (legal-p i board)
collect i))
(defun get-random-element (lst)
(nth (random (length lst)) lst))
(defun multi-non-nil-eq (lst)
(and (notany #'null lst)
(notany #'null (mapcar #'(lambda (x) (eq (car lst) x)) lst))
(car lst)))
(defun elements-of-straights (board)
(loop for i in *straights*
collect (loop for j from 0 to 2
collect (get-board-elt (nth j i) board))))
(defun find-winner (board)
(car (remove-if #'null (mapcar #'multi-non-nil-eq (elements-of-straights board)))))
(defun set-player (mark)
(format t "Shall a computer play as ~a? (y/n)~&" mark)
(let ((response (read)))
(cond ((equalp response 'y) t)
((equalp response 'n) nil)
(t (format t "Come again?~&")
(set-player mark)))))
(defun player-move (board symbol)
(format t "~%Player ~a, please input your move.~&" symbol)
(set-board-elt (read) board symbol)
(format t "~%"))
(defun computer-move (board symbol)
(let ((move (get-random-element (list-legal-moves board))))
(set-board-elt move board symbol)
(format t "~%computer selects ~a~%~%" move)))
(defun computer-move-p (current-player autoplay-x-p autoplay-o-p)
(if (eq current-player 'x)
autoplay-x-p
autoplay-o-p))
(defun perform-turn (current-player board autoplay-x-p autoplay-o-p)
(if (computer-move-p current-player autoplay-x-p autoplay-o-p)
(computer-move board current-player)
(player-move board current-player)))
(defun switch-player ()
(if (eq *current-player* 'x)
(setf *current-player* 'o)
(setf *current-player* 'x)))
(defun display-board (board)
(loop for i downfrom 2 to 0
do (loop for j from 1 to 3
initially (format t "|")
do (format t "~a|" (or (get-board-elt (+ (* 3 i) j) board) (+ (* 3 i) j)))
finally (format t "~&"))))
(defun tic-tac-toe ()
(setf *current-player* 'x)
(let ((board (generate-board))
(autoplay-x-p (set-player 'x))
(autoplay-o-p (set-player 'o)))
(format t "~%")
(loop until (or (find-winner board) (null (list-legal-moves board)))
do (display-board board)
do (perform-turn *current-player* board autoplay-x-p autoplay-o-p)
do (switch-player)
finally (if (find-winner board)
(format t "The winner is ~a!" (find-winner board))
(format t "It's a tie.")))))
|
http://rosettacode.org/wiki/Towers_of_Hanoi | Towers of Hanoi | Task
Solve the Towers of Hanoi problem with recursion.
| #Brainf.2A.2A.2A | Brainf*** | [
This implementation is recursive and uses
a stack, consisting of frames that are 8
bytes long. The layout is as follows:
Byte Description
0 recursion flag
(the program stops if the flag is
zero)
1 the step which is currently
executed
4 means a call to
move(a, c, b, n - 1)
3 means a call to
move(a, b, c, 1)
2 means a call to
move(b, a, c, n - 1)
1 prints the source and dest pile
2 flag to check whether the current
step has already been done or if
it still must be executed
3 the step which will be executed
in the next loop
4 the source pile
5 the helper pile
6 the destination pile
7 the number of disks to move
The first stack frame (0 0 0 0 0 0 0 0)
is used to abort the recursion.
]
>>>>>>>>
These are the parameters for the program
(1 4 1 0 'a 'b 'c 5)
+>++++>+>>
>>>>++++++++[<++++++++++++>-]<
[<<<+>+>+>-]<<<+>++>+++>+++++>
<<<<<<<<
[> while (recurse)
[- if (step gt 0)
>[-]+< todo = 1
[- if (step gt 1)
[- if (step gt 2)
[- if (step gt 3)
>>+++<< next = 3
>-< todo = 0
>>>>>>[>+>+<<-]>[<+>-]> n dup
-
[[-] if (sub(n 1) gt 0)
<+>>>++++> push (1 0 0 4)
copy and push a
<<<<<<<<[>>>>>>>>+>+
<<<<<<<<<-]>>>>>>>>
>[<<<<<<<<<+>>>>>>>>>-]< >
copy and push c
<<<<<<<[>>>>>>>+>+
<<<<<<<<-]>>>>>>>
>[<<<<<<<<+>>>>>>>>-]< >
copy and push b
<<<<<<<<<[>>>>>>>>>+>+
<<<<<<<<<<-]>>>>>>>>>
>[<<<<<<<<<<+>>>>>>>>>>-]< >
copy n and push sub(n 1)
<<<<<<<<[>>>>>>>>+>+
<<<<<<<<<-]>>>>>>>>
>[<<<<<<<<<+>>>>>>>>>-]< -
>>
]
<<<<<<<<
]
>[-< if ((step gt 2) and todo)
>>++<< next = 2
>>>>>>>
+>>>+> push 1 0 0 1 a b c 1
<<<<<<<<[>>>>>>>>+>+
<<<<<<<<<-]>>>>>>>>
>[<<<<<<<<<+>>>>>>>>>-]< > a
<<<<<<<<[>>>>>>>>+>+
<<<<<<<<<-]>>>>>>>>
>[<<<<<<<<<+>>>>>>>>>-]< > b
<<<<<<<<[>>>>>>>>+>+
<<<<<<<<<-]>>>>>>>>
>[<<<<<<<<<+>>>>>>>>>-]< > c
+ >>
>]<
]
>[-< if ((step gt 1) and todo)
>>>>>>[>+>+<<-]>[<+>-]> n dup
-
[[-] if (n sub 1 gt 0)
<+>>>++++> push (1 0 0 4)
copy and push b
<<<<<<<[>>>>>>>+
<<<<<<<-]>>>>>>>
>[<<<<<<<<+>>>>>>>>-]< >
copy and push a
<<<<<<<<<[>>>>>>>>>+
<<<<<<<<<-]>>>>>>>>>
>[<<<<<<<<<<+>>>>>>>>>>-]< >
copy and push c
<<<<<<<<[>>>>>>>>+
<<<<<<<<-]>>>>>>>>
>[<<<<<<<<<+>>>>>>>>>-]< >
copy n and push sub(n 1)
<<<<<<<<[>>>>>>>>+>+
<<<<<<<<<-]>>>>>>>>
>[<<<<<<<<<+>>>>>>>>>-]< -
>>
]
<<<<<<<<
>]<
]
>[-< if ((step gt 0) and todo)
>>>>>>>
>++++[<++++++++>-]<
>>++++++++[<+++++++++>-]<++++
>>++++++++[<++++++++++++>-]<+++++
>>+++++++++[<++++++++++++>-]<+++
<<<
>.+++++++>.++.--.<<.
>>-.+++++.----.<<.
>>>.<---.+++.>+++.+.+.<.<<.
>.>--.+++++.---.++++.
-------.+++.<<.
>>>++.-------.-.<<<.
>+.>>+++++++.---.-----.<<<.
<<<<.>>>>.
>>----.>++++++++.<+++++.<<.
>.>>.---.-----.<<<.
<<.>>++++++++++++++.
>>>[-]<[-]<[-]<[-]
+++++++++++++.---.[-]
<<<<<<<
>]<
>>[<<+>>-]<< step = next
]
return with clear stack frame
<[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]<<<<<<
<<<<<<<<
>>[<<+>>-]<< step = next
<
] |
http://rosettacode.org/wiki/Thue-Morse | Thue-Morse | Task
Create a Thue-Morse sequence.
See also
YouTube entry: The Fairest Sharing Sequence Ever
YouTube entry: Math and OCD - My story with the Thue-Morse sequence
Task: Fairshare between two and more
| #OASYS_Assembler | OASYS Assembler | ; Thue-Morse sequence
[*'A] ; Ensure the vocabulary is not empty
[&] ; Declare the initialization procedure
%#1> ; Initialize length counter
%@*> ; Create first object
,#1> ; Initialize loop counter
: ; Begin loop
%@<.#<PI ; Print current cell
*.#%@<.#<NOT> ; Create new cell
%@%@<NXT> ; Advance to next cell
,#,#<DN> ; Decrement loop counter
,#</ ; Check if loop counter is now zero
%#%#<2MUL> ; Double length counter
,#%#<> ; Reset loop counter
%@FO> ; Reset object pointer
CR ; Line break
| ; Repeat loop |
http://rosettacode.org/wiki/Thue-Morse | Thue-Morse | Task
Create a Thue-Morse sequence.
See also
YouTube entry: The Fairest Sharing Sequence Ever
YouTube entry: Math and OCD - My story with the Thue-Morse sequence
Task: Fairshare between two and more
| #Objeck | Objeck | class ThueMorse {
function : Main(args : String[]) ~ Nil {
Sequence(6);
}
function : Sequence(steps : Int) ~ Nil {
sb1 := "0";
sb2 := "1";
for(i := 0; i < steps; i++;) {
tmp := String->New(sb1);
sb1 += sb2;
sb2 += tmp;
};
sb1->PrintLine();
}
}
|
http://rosettacode.org/wiki/Tokenize_a_string_with_escaping | Tokenize a string with escaping | Task[edit]
Write a function or program that can split a string at each non-escaped occurrence of a separator character.
It should accept three input parameters:
The string
The separator character
The escape character
It should output a list of strings.
Details
Rules for splitting:
The fields that were separated by the separators, become the elements of the output list.
Empty fields should be preserved, even at the start and end.
Rules for escaping:
"Escaped" means preceded by an occurrence of the escape character that is not already escaped itself.
When the escape character precedes a character that has no special meaning, it still counts as an escape (but does not do anything special).
Each occurrence of the escape character that was used to escape something, should not become part of the output.
Test case
Demonstrate that your function satisfies the following test-case:
Input
Output
string:
one^|uno||three^^^^|four^^^|^cuatro|
separator character:
|
escape character:
^
one|uno
three^^
four^|cuatro
(Print the output list in any format you like, as long as it is it easy to see what the fields are.)
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Perl | Perl | sub tokenize {
my ($string, $sep, $esc) = (shift, quotemeta shift, quotemeta shift);
my @fields = split /$esc . (*SKIP)(*FAIL) | $sep/sx, $string, -1;
return map { s/$esc(.)/$1/gsr } @fields;
} |
http://rosettacode.org/wiki/Topological_sort | Topological sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Given a mapping between items, and items they depend on, a topological sort orders items so that no item precedes an item it depends upon.
The compiling of a library in the VHDL language has the constraint that a library must be compiled after any library it depends on.
A tool exists that extracts library dependencies.
Task
Write a function that will return a valid compile order of VHDL libraries from their dependencies.
Assume library names are single words.
Items mentioned as only dependents, (sic), have no dependents of their own, but their order of compiling must be given.
Any self dependencies should be ignored.
Any un-orderable dependencies should be flagged.
Use the following data as an example:
LIBRARY LIBRARY DEPENDENCIES
======= ====================
des_system_lib std synopsys std_cell_lib des_system_lib dw02 dw01 ramlib ieee
dw01 ieee dw01 dware gtech
dw02 ieee dw02 dware
dw03 std synopsys dware dw03 dw02 dw01 ieee gtech
dw04 dw04 ieee dw01 dware gtech
dw05 dw05 ieee dware
dw06 dw06 ieee dware
dw07 ieee dware
dware ieee dware
gtech ieee gtech
ramlib std ieee
std_cell_lib ieee std_cell_lib
synopsys
Note: the above data would be un-orderable if, for example, dw04 is added to the list of dependencies of dw01.
C.f.
Topological sort/Extracted top item.
There are two popular algorithms for topological sorting:
Kahn's 1962 topological sort [1]
depth-first search [2] [3]
| #jq | jq | # independent/0 emits an array of the dependencies that have no dependencies
# Input: an object representing a normalized dependency graph
def independent:
. as $G
| reduce keys[] as $key
([];
. + ((reduce $G[$key][] as $node
([];
if ($G[$node] == null or ($G[$node]|length)==0) then . + [$node]
else .
end ))))
| unique;
# normalize/0 eliminates self-dependencies in the input dependency graph.
# Input: an object representing a dependency graph.
def normalize:
. as $G
| reduce keys[] as $key
($G;
.[$key] as $nodes
| if $nodes and ($nodes|index($key)) then .[$key] = $nodes - [$key] else . end);
# minus/1 removes all the items in ary from each of the values in the input object
# Input: an object representing a dependency graph
def minus(ary):
. as $G | with_entries(.value -= ary);
# tsort/0 emits the topologically sorted nodes of the input,
# in ">" order.
# Input is assumed to be an object representing a dependency
# graph and need not be normalized.
def tsort:
# _sort: input: [L, Graph], where L is the tsort so far
def _tsort:
def done: [.[]] | all( length==0 );
.[0] as $L | .[1] as $G
| if ($G|done) then $L + (($G|keys) - $L)
else
($G|independent) as $I
| if (($I|length) == 0)
then error("the dependency graph is cyclic: \($G)")
else [ ($L + $I), ($G|minus($I))] | _tsort
end
end;
normalize | [[], .] | _tsort ;
tsort |
http://rosettacode.org/wiki/Universal_Turing_machine | Universal Turing machine | One of the foundational mathematical constructs behind computer science
is the universal Turing Machine.
(Alan Turing introduced the idea of such a machine in 1936–1937.)
Indeed one way to definitively prove that a language
is turing-complete
is to implement a universal Turing machine in it.
Task
Simulate such a machine capable
of taking the definition of any other Turing machine and executing it.
Of course, you will not have an infinite tape,
but you should emulate this as much as is possible.
The three permissible actions on the tape are "left", "right" and "stay".
To test your universal Turing machine (and prove your programming language
is Turing complete!), you should execute the following two Turing machines
based on the following definitions.
Simple incrementer
States: q0, qf
Initial state: q0
Terminating states: qf
Permissible symbols: B, 1
Blank symbol: B
Rules:
(q0, 1, 1, right, q0)
(q0, B, 1, stay, qf)
The input for this machine should be a tape of 1 1 1
Three-state busy beaver
States: a, b, c, halt
Initial state: a
Terminating states: halt
Permissible symbols: 0, 1
Blank symbol: 0
Rules:
(a, 0, 1, right, b)
(a, 1, 1, left, c)
(b, 0, 1, left, a)
(b, 1, 1, right, b)
(c, 0, 1, left, b)
(c, 1, 1, stay, halt)
The input for this machine should be an empty tape.
Bonus:
5-state, 2-symbol probable Busy Beaver machine from Wikipedia
States: A, B, C, D, E, H
Initial state: A
Terminating states: H
Permissible symbols: 0, 1
Blank symbol: 0
Rules:
(A, 0, 1, right, B)
(A, 1, 1, left, C)
(B, 0, 1, right, C)
(B, 1, 1, right, B)
(C, 0, 1, right, D)
(C, 1, 0, left, E)
(D, 0, 1, left, A)
(D, 1, 1, left, D)
(E, 0, 1, stay, H)
(E, 1, 0, left, A)
The input for this machine should be an empty tape.
This machine runs for more than 47 millions steps.
| #PicoLisp | PicoLisp | # Finite state machine
(de turing (Tape Init Halt Blank Rules Verbose)
(let
(Head 1
State Init
Rule NIL
S 'start
C (length Tape))
(catch NIL
(loop
(state 'S
(start 'print
(when (=0 C)
(setq Tape (insert Head Tape Blank))
(inc 'C) ) )
(print 'lookup
(when Verbose
(for (N . I) Tape
(if (= N Head)
(print (list I))
(prin I) ) )
(prinl) )
(when (= State Halt) (throw NIL) ) )
(lookup 'do
(setq Rule
(find
'((X)
(and
(= (car X) State)
(= (cadr X) (car (nth Tape Head))) ) )
Rules ) ) )
(do 'step
(setq Tape (place Head Tape (caddr Rule))) )
(step 'print
(cond
((= (cadddr Rule) 'R) (inc 'Head))
((= (cadddr Rule) 'L) (dec 'Head)) )
(cond
((< Head 1)
(setq Tape (insert Head Tape Blank))
(inc 'C)
(one Head) )
((> Head C)
(setq Tape (insert Head Tape Blank))
(inc 'C) ) )
(setq State (last Rule)) ) ) ) ) )
Tape )
(println "Simple incrementer")
(turing '(1 1 1) 'A 'H 'B '((A 1 1 R A) (A B 1 S H)) T)
(println "Three-state busy beaver")
(turing '() 'A 'H 0
'((A 0 1 R B)
(A 1 1 L C)
(B 0 1 L A)
(B 1 1 R B)
(C 0 1 L B)
(C 1 1 S H)) T )
(println "Five-state busy beaver")
(let Tape (turing '() 'A 'H 0
'((A 0 1 R B)
(A 1 1 L C)
(B 0 1 R C)
(B 1 1 R B)
(C 0 1 R D)
(C 1 0 L E)
(D 0 1 L A)
(D 1 1 L D)
(E 0 1 S H)
(E 1 0 L A)) NIL)
(println '0s: (cnt '((X) (= 0 X)) Tape))
(println '1s: (cnt '((X) (= 1 X)) Tape)) )
(bye) |
http://rosettacode.org/wiki/Totient_function | Totient function | The totient function is also known as:
Euler's totient function
Euler's phi totient function
phi totient function
Φ function (uppercase Greek phi)
φ function (lowercase Greek phi)
Definitions (as per number theory)
The totient function:
counts the integers up to a given positive integer n that are relatively prime to n
counts the integers k in the range 1 ≤ k ≤ n for which the greatest common divisor gcd(n,k) is equal to 1
counts numbers ≤ n and prime to n
If the totient number (for N) is one less than N, then N is prime.
Task
Create a totient function and:
Find and display (1 per line) for the 1st 25 integers:
the integer (the index)
the totient number for that integer
indicate if that integer is prime
Find and display the count of the primes up to 100
Find and display the count of the primes up to 1,000
Find and display the count of the primes up to 10,000
Find and display the count of the primes up to 100,000 (optional)
Show all output here.
Related task
Perfect totient numbers
Also see
Wikipedia: Euler's totient function.
MathWorld: totient function.
OEIS: Euler totient function phi(n).
| #Quackery | Quackery | [ [ dup while
tuck mod again ]
drop abs ] is gcd ( n n --> n )
[ 0 swap dup times
[ i over gcd
1 = rot + swap ]
drop ] is totient ( n --> n )
[ 0 temp put
times
[ i dup 1+ totient
= temp tally ]
temp take ] is primecount ( n --> n )
25 times
[ say "The totient of "
i^ 1+ dup echo
say " is "
dup totient dup echo
say ", so it is "
1+ != if say "not "
say "prime." cr ]
cr
' [ 100 1000 10000 100000 ]
witheach
[ say "There are "
dup primecount echo
say " primes up to " echo
say "." cr ] |
http://rosettacode.org/wiki/Trigonometric_functions | Trigonometric functions | Task
If your language has a library or built-in functions for trigonometry, show examples of:
sine
cosine
tangent
inverses (of the above)
using the same angle in radians and degrees.
For the non-inverse functions, each radian/degree pair should use arguments that evaluate to the same angle (that is, it's not necessary to use the same angle for all three regular functions as long as the two sine calls use the same angle).
For the inverse functions, use the same number and convert its answer to radians and degrees.
If your language does not have trigonometric functions available or only has some available, write functions to calculate the functions based on any known approximation or identity.
| #Icon_and_Unicon | Icon and Unicon | invocable all
procedure main()
d := 30 # degrees
r := dtor(d) # convert to radians
every write(f := !["sin","cos","tan"],"(",r,")=",y := f(r)," ",fi := "a" || f,"(",y,")=",x := fi(y)," rad = ",rtod(x)," deg")
end |
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm | Trabb Pardo–Knuth algorithm | The TPK algorithm is an early example of a programming chrestomathy.
It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages.
The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of the algorithm.
From the wikipedia entry:
ask for 11 numbers to be read into a sequence S
reverse sequence S
for each item in sequence S
result := call a function to do an operation
if result overflows
alert user
else
print result
The task is to implement the algorithm:
Use the function:
f
(
x
)
=
|
x
|
0.5
+
5
x
3
{\displaystyle f(x)=|x|^{0.5}+5x^{3}}
The overflow condition is an answer of greater than 400.
The 'user alert' should not stop processing of other items of the sequence.
Print a prompt before accepting eleven, textual, numeric inputs.
You may optionally print the item as well as its associated result, but the results must be in reverse order of input.
The sequence S may be 'implied' and so not shown explicitly.
Print and show the program in action from a typical run here. (If the output is graphical rather than text then either add a screendump or describe textually what is displayed).
| #Rust | Rust |
use std::io::{self, BufRead};
fn op(x: f32) -> Option<f32> {
let y = x.abs().sqrt() + 5.0 * x * x * x;
if y < 400.0 {
Some(y)
} else {
None
}
}
fn main() {
println!("Please enter 11 numbers (one number per line)");
let stdin = io::stdin();
let xs = stdin
.lock()
.lines()
.map(|ox| ox.unwrap().trim().to_string())
.flat_map(|s| str::parse::<f32>(&s))
.take(11)
.collect::<Vec<_>>();
for x in xs.into_iter().rev() {
match op(x) {
Some(y) => println!("{}", y),
None => println!("overflow"),
};
}
}
|
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm | Trabb Pardo–Knuth algorithm | The TPK algorithm is an early example of a programming chrestomathy.
It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages.
The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of the algorithm.
From the wikipedia entry:
ask for 11 numbers to be read into a sequence S
reverse sequence S
for each item in sequence S
result := call a function to do an operation
if result overflows
alert user
else
print result
The task is to implement the algorithm:
Use the function:
f
(
x
)
=
|
x
|
0.5
+
5
x
3
{\displaystyle f(x)=|x|^{0.5}+5x^{3}}
The overflow condition is an answer of greater than 400.
The 'user alert' should not stop processing of other items of the sequence.
Print a prompt before accepting eleven, textual, numeric inputs.
You may optionally print the item as well as its associated result, but the results must be in reverse order of input.
The sequence S may be 'implied' and so not shown explicitly.
Print and show the program in action from a typical run here. (If the output is graphical rather than text then either add a screendump or describe textually what is displayed).
| #Scala | Scala | object TPKa extends App {
final val numbers = scala.collection.mutable.MutableList[Double]()
final val in = new java.util.Scanner(System.in)
while (numbers.length < CAPACITY) {
print("enter a number: ")
try {
numbers += in.nextDouble()
}
catch {
case _: Exception =>
in.next()
println("invalid input, try again")
}
}
numbers reverseMap { x =>
val fx = Math.pow(Math.abs(x), .5D) + 5D * (Math.pow(x, 3))
if (fx < THRESHOLD)
print("%8.3f -> %8.3f\n".format(x, fx))
else
print("%8.3f -> %s\n".format(x, Double.PositiveInfinity.toString))
}
private final val THRESHOLD = 400D
private final val CAPACITY = 11
} |
http://rosettacode.org/wiki/Truncatable_primes | Truncatable primes | A truncatable prime is a prime number that when you successively remove digits from one end of the prime, you are left with a new prime number.
Examples
The number 997 is called a left-truncatable prime as the numbers 997, 97, and 7 are all prime.
The number 7393 is a right-truncatable prime as the numbers 7393, 739, 73, and 7 formed by removing digits from its right are also prime.
No zeroes are allowed in truncatable primes.
Task
The task is to find the largest left-truncatable and right-truncatable primes less than one million (base 10 is implied).
Related tasks
Find largest left truncatable prime in a given base
Sieve of Eratosthenes
See also
Truncatable Prime from MathWorld.]
| #Raku | Raku | constant ltp = $[2, 3, 5, 7], -> @ltp {
$[ grep { .&is-prime }, ((1..9) X~ @ltp) ]
} ... *;
constant rtp = $[2, 3, 5, 7], -> @rtp {
$[ grep { .&is-prime }, (@rtp X~ (1..9)) ]
} ... *;
say "Highest ltp = ", ltp[5][*-1];
say "Highest rtp = ", rtp[5][*-1]; |
http://rosettacode.org/wiki/Tree_traversal | Tree traversal | Task
Implement a binary tree where each node carries an integer, and implement:
pre-order,
in-order,
post-order, and
level-order traversal.
Use those traversals to output the following tree:
1
/ \
/ \
/ \
2 3
/ \ /
4 5 6
/ / \
7 8 9
The correct output should look like this:
preorder: 1 2 4 7 5 3 6 8 9
inorder: 7 4 2 5 1 8 6 9 3
postorder: 7 4 5 2 8 9 6 3 1
level-order: 1 2 3 4 5 6 7 8 9
See also
Wikipedia article: Tree traversal.
| #Euphoria | Euphoria | constant VALUE = 1, LEFT = 2, RIGHT = 3
constant tree = {1,
{2,
{4,
{7, 0, 0},
0},
{5, 0, 0}},
{3,
{6,
{8, 0, 0},
{9, 0, 0}},
0}}
procedure preorder(object tree)
if sequence(tree) then
printf(1,"%d ",{tree[VALUE]})
preorder(tree[LEFT])
preorder(tree[RIGHT])
end if
end procedure
procedure inorder(object tree)
if sequence(tree) then
inorder(tree[LEFT])
printf(1,"%d ",{tree[VALUE]})
inorder(tree[RIGHT])
end if
end procedure
procedure postorder(object tree)
if sequence(tree) then
postorder(tree[LEFT])
postorder(tree[RIGHT])
printf(1,"%d ",{tree[VALUE]})
end if
end procedure
procedure lo(object tree, sequence more)
if sequence(tree) then
more &= {tree[LEFT],tree[RIGHT]}
printf(1,"%d ",{tree[VALUE]})
end if
if length(more) > 0 then
lo(more[1],more[2..$])
end if
end procedure
procedure level_order(object tree)
lo(tree,{})
end procedure
puts(1,"preorder: ")
preorder(tree)
puts(1,'\n')
puts(1,"inorder: ")
inorder(tree)
puts(1,'\n')
puts(1,"postorder: ")
postorder(tree)
puts(1,'\n')
puts(1,"level-order: ")
level_order(tree)
puts(1,'\n') |
http://rosettacode.org/wiki/Tokenize_a_string | Tokenize a string | Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word.
Display the words to the 'user', in the simplest manner possible, separated by a period.
To simplify, you may display a trailing period.
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Delphi | Delphi |
program Tokenize_a_string;
{$APPTYPE CONSOLE}
uses
System.SysUtils;
var
Words: TArray<string>;
begin
Words := 'Hello,How,Are,You,Today'.Split([',']);
Writeln(string.Join(#10, Words));
Readln;
end.
|
http://rosettacode.org/wiki/Tokenize_a_string | Tokenize a string | Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word.
Display the words to the 'user', in the simplest manner possible, separated by a period.
To simplify, you may display a trailing period.
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Dyalect | Dyalect | var str = "Hello,How,Are,You,Today"
var strings = str.Split(',')
print(values: strings, separator: ".") |
http://rosettacode.org/wiki/Time_a_function | Time a function | Task
Write a program which uses a timer (with the least granularity available
on your system) to time how long a function takes to execute.
Whenever possible, use methods which measure only the processing time used
by the current process; instead of the difference in system time
between start and finish, which could include time used by
other processes on the computer.
This task is intended as a subtask for Measure relative performance of sorting algorithms implementations.
| #F.23 | F# |
open System.Diagnostics
let myfunc data =
let timer = new Stopwatch()
timer.Start()
let result = data |> expensive_processing
timer.Stop()
printf "elapsed %d ms" timer.ElapsedMilliseconds
result
|
http://rosettacode.org/wiki/Time_a_function | Time a function | Task
Write a program which uses a timer (with the least granularity available
on your system) to time how long a function takes to execute.
Whenever possible, use methods which measure only the processing time used
by the current process; instead of the difference in system time
between start and finish, which could include time used by
other processes on the computer.
This task is intended as a subtask for Measure relative performance of sorting algorithms implementations.
| #Factor | Factor | USING: kernel sequences tools.time ;
[ 10000 <iota> sum drop ] time |
http://rosettacode.org/wiki/Top_rank_per_group | Top rank per group | Task
Find the top N salaries in each department, where N is provided as a parameter.
Use this data as a formatted internal data structure (adapt it to your language-native idioms, rather than parse at runtime), or identify your external data source:
Employee Name,Employee ID,Salary,Department
Tyler Bennett,E10297,32000,D101
John Rappl,E21437,47000,D050
George Woltman,E00127,53500,D101
Adam Smith,E63535,18000,D202
Claire Buckman,E39876,27800,D202
David McClellan,E04242,41500,D101
Rich Holcomb,E01234,49500,D202
Nathan Adams,E41298,21900,D050
Richard Potter,E43128,15900,D101
David Motsinger,E27002,19250,D202
Tim Sampair,E03033,27000,D101
Kim Arlich,E10001,57000,D190
Timothy Grove,E16398,29900,D190
| #Factor | Factor | USING: accessors assocs fry io kernel math.parser sequences
sorting ;
IN: top-rank
TUPLE: employee name id salary department ;
CONSTANT: employees {
T{ employee f "Tyler Bennett" "E10297" 32000 "D101" }
T{ employee f "John Rappl" "E21437" 47000 "D050" }
T{ employee f "George Woltman" "E00127" 53500 "D101" }
T{ employee f "Adam Smith" "E63535" 18000 "D202" }
T{ employee f "Claire Buckman" "E39876" 27800 "D202" }
T{ employee f "David McClellan" "E04242" 41500 "D101" }
T{ employee f "Rich Holcomb" "E01234" 49500 "D202" }
T{ employee f "Nathan Adams" "E41298" 21900 "D050" }
T{ employee f "Richard Potter" "E43128" 15900 "D101" }
T{ employee f "David Motsinger" "E27002" 19250 "D202" }
T{ employee f "Tim Sampair" "E03033" 27000 "D101" }
T{ employee f "Kim Arlich" "E10001" 57000 "D190" }
T{ employee f "Timothy Grove" "E16398" 29900 "D190" }
}
: group-by ( seq quot -- hash )
H{ } clone [ '[ dup @ _ push-at ] each ] keep ; inline
: prepare-departments ( seq -- departments )
[ department>> ] group-by
[ [ salary>> ] inv-sort-with ] assoc-map ;
: first-n-each ( seq n quot -- )
[ short head-slice ] dip each ; inline
: main ( -- )
employees prepare-departments [
[ "Department " write write ":" print ] dip
3 [
[ id>> write " $" write ]
[ salary>> number>string write " " write ]
[ name>> print ] tri
] first-n-each
nl
] assoc-each ; |
http://rosettacode.org/wiki/Tic-tac-toe | Tic-tac-toe |
Task
Play a game of tic-tac-toe.
Ensure that legal moves are played and that a winning position is notified.
Tic-tac-toe is also known as:
naughts and crosses
tic tac toe
tick tack toe
three in a row
tres en rayo and
Xs and Os
See also
MathWorld™, Tic-Tac-Toe game.
Wikipedia tic-tac-toe.
| #D | D | import std.stdio, std.string, std.algorithm, std.conv, std.random,
std.ascii, std.array, std.range, std.math;
struct GameBoard {
dchar[9] board = "123456789";
enum : dchar { human = 'X', computer = 'O' }
enum Game { going, humanWins, computerWins, draw }
const pure nothrow @safe @nogc invariant() {
int nHuman = 0, nComputer = 0;
foreach (immutable i, immutable c; board)
if (c.isDigit)
assert(i == c - '1'); // In correct position?
else {
assert(c == human || c == computer);
(c == human ? nHuman : nComputer)++;
}
assert(abs(nHuman - nComputer) <= 1);
}
string toString() const pure {
return format("%(%-(%s|%)\n-+-+-\n%)", board[].chunks(3));
}
bool isAvailable(in int i) const pure nothrow @safe @nogc {
return i >= 0 && i < 9 && board[i].isDigit;
}
auto availablePositions() const pure nothrow @safe /*@nogc*/ {
return 9.iota.filter!(i => isAvailable(i));
}
Game winner() const pure nothrow @safe /*@nogc*/ {
static immutable wins = [[0, 1, 2], [3, 4, 5], [6, 7, 8],
[0, 3, 6], [1, 4, 7], [2, 5, 8],
[0, 4, 8], [2, 4, 6]];
foreach (immutable win; wins) {
immutable bw0 = board[win[0]];
if (bw0.isDigit)
continue; // Nobody wins on this one.
if (bw0 == board[win[1]] && bw0 == board[win[2]])
return bw0 == GameBoard.human ?
Game.humanWins :
Game.computerWins;
}
return availablePositions.empty ? Game.draw: Game.going;
}
bool isFinished() const pure nothrow @safe /*@nogc*/ {
return winner != Game.going;
}
int computerMove() const // Random move.
out(res) {
assert(res >= 0 && res < 9 && isAvailable(res));
} body {
// return availablePositions.array.choice;
return availablePositions.array[uniform(0, $)];
}
}
GameBoard playGame() {
GameBoard board;
bool playsHuman = true;
while (!board.isFinished) {
board.writeln;
int move;
if (playsHuman) {
do {
writef("Your move (available moves: %s)? ",
board.availablePositions.map!q{ a + 1 });
readf("%d\n", &move);
move--; // Zero based indexing.
if (move < 0)
return board;
} while (!board.isAvailable(move));
} else
move = board.computerMove;
assert(board.isAvailable(move));
writefln("\n%s chose %d", playsHuman ? "You" : "I", move + 1);
board.board[move] = playsHuman ? GameBoard.human :
GameBoard.computer;
playsHuman = !playsHuman; // Switch player.
}
return board;
}
void main() {
"Tic-tac-toe game player.\n".writeln;
immutable outcome = playGame.winner;
final switch (outcome) {
case GameBoard.Game.going:
"Game stopped.".writeln;
break;
case GameBoard.Game.humanWins:
"\nYou win!".writeln;
break;
case GameBoard.Game.computerWins:
"\nI win.".writeln;
break;
case GameBoard.Game.draw:
"\nDraw".writeln;
break;
}
} |
http://rosettacode.org/wiki/Towers_of_Hanoi | Towers of Hanoi | Task
Solve the Towers of Hanoi problem with recursion.
| #C | C | #include <stdio.h>
void move(int n, int from, int via, int to)
{
if (n > 1) {
move(n - 1, from, to, via);
printf("Move disk from pole %d to pole %d\n", from, to);
move(n - 1, via, from, to);
} else {
printf("Move disk from pole %d to pole %d\n", from, to);
}
}
int main()
{
move(4, 1,2,3);
return 0;
} |
http://rosettacode.org/wiki/Thue-Morse | Thue-Morse | Task
Create a Thue-Morse sequence.
See also
YouTube entry: The Fairest Sharing Sequence Ever
YouTube entry: Math and OCD - My story with the Thue-Morse sequence
Task: Fairshare between two and more
| #OCaml | OCaml | (* description: Counts the number of bits set to 1
input: the number to have its bit counted
output: the number of bits set to 1 *)
let count_bits v =
let rec aux c v =
if v <= 0 then c
else aux (c + (v land 1)) (v lsr 1)
in
aux 0 v
let () =
for i = 0 to pred 256 do
print_char (
match (count_bits i) mod 2 with
| 0 -> '0'
| 1 -> '1'
| _ -> assert false)
done;
print_newline () |
http://rosettacode.org/wiki/Thue-Morse | Thue-Morse | Task
Create a Thue-Morse sequence.
See also
YouTube entry: The Fairest Sharing Sequence Ever
YouTube entry: Math and OCD - My story with the Thue-Morse sequence
Task: Fairshare between two and more
| #Pascal | Pascal | Program ThueMorse;
function fThueMorse(maxLen: NativeInt):AnsiString;
//double by appending the flipped original 0 -> 1;1 -> 0
//Flipping between two values:x oszillating A,B,A,B -> x_next = A+B-x
//Beware A+B < High(Char), the compiler will complain ...
const
cVal0 = '^';cVal1 = 'v';// cVal0 = '0';cVal1 = '1';
var
pOrg,
pRpl : pansiChar;
i,k,ml : NativeUInt;//MaxLen: NativeInt
Begin
iF maxlen < 1 then
Begin
result := '';
EXIT;
end;
//setlength only one time
setlength(result,Maxlen);
pOrg := @result[1];
pOrg[0] := cVal0;
IF maxlen = 1 then
EXIT;
pRpl := pOrg;
inc(pRpl);
k := 1;
ml:= Maxlen;
repeat
i := 0;
repeat
pRpl[0] := ansichar(Ord(cVal0)+Ord(cVal1)-Ord(pOrg[i]));
inc(pRpl);
inc(i);
until i>=k;
inc(k,k);
until k+k> ml;
// the rest
i := 0;
k := ml-k;
IF k > 0 then
repeat
pRpl[0] := ansichar(Ord(cVal0)+Ord(cVal1)-Ord(pOrg[i]));
inc(pRpl);
inc(i)
until i>=k;
end;
var
i : integer;
Begin
For i := 0 to 8 do
writeln(i:3,' ',fThueMorse(i));
fThueMorse(1 shl 30);
{$IFNDEF LINUX}readln;{$ENDIF}
end. |
http://rosettacode.org/wiki/Tokenize_a_string_with_escaping | Tokenize a string with escaping | Task[edit]
Write a function or program that can split a string at each non-escaped occurrence of a separator character.
It should accept three input parameters:
The string
The separator character
The escape character
It should output a list of strings.
Details
Rules for splitting:
The fields that were separated by the separators, become the elements of the output list.
Empty fields should be preserved, even at the start and end.
Rules for escaping:
"Escaped" means preceded by an occurrence of the escape character that is not already escaped itself.
When the escape character precedes a character that has no special meaning, it still counts as an escape (but does not do anything special).
Each occurrence of the escape character that was used to escape something, should not become part of the output.
Test case
Demonstrate that your function satisfies the following test-case:
Input
Output
string:
one^|uno||three^^^^|four^^^|^cuatro|
separator character:
|
escape character:
^
one|uno
three^^
four^|cuatro
(Print the output list in any format you like, as long as it is it easy to see what the fields are.)
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Phix | Phix | function tokenize(string s, integer sep, integer esc)
sequence ret = {}
string word = ""
integer skip = 0
if length(s)!=0 then
for i=1 to length(s) do
integer si = s[i]
if skip then
word &= si
skip = 0
elsif si=esc then
skip = 1
elsif si=sep then
ret = append(ret,word)
word = ""
else
word &= si
end if
end for
ret = append(ret,word)
end if
return ret
end function
?tokenize("one^|uno||three^^^^|four^^^|^cuatro|",'|','^')
|
http://rosettacode.org/wiki/Topological_sort | Topological sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Given a mapping between items, and items they depend on, a topological sort orders items so that no item precedes an item it depends upon.
The compiling of a library in the VHDL language has the constraint that a library must be compiled after any library it depends on.
A tool exists that extracts library dependencies.
Task
Write a function that will return a valid compile order of VHDL libraries from their dependencies.
Assume library names are single words.
Items mentioned as only dependents, (sic), have no dependents of their own, but their order of compiling must be given.
Any self dependencies should be ignored.
Any un-orderable dependencies should be flagged.
Use the following data as an example:
LIBRARY LIBRARY DEPENDENCIES
======= ====================
des_system_lib std synopsys std_cell_lib des_system_lib dw02 dw01 ramlib ieee
dw01 ieee dw01 dware gtech
dw02 ieee dw02 dware
dw03 std synopsys dware dw03 dw02 dw01 ieee gtech
dw04 dw04 ieee dw01 dware gtech
dw05 dw05 ieee dware
dw06 dw06 ieee dware
dw07 ieee dware
dware ieee dware
gtech ieee gtech
ramlib std ieee
std_cell_lib ieee std_cell_lib
synopsys
Note: the above data would be un-orderable if, for example, dw04 is added to the list of dependencies of dw01.
C.f.
Topological sort/Extracted top item.
There are two popular algorithms for topological sorting:
Kahn's 1962 topological sort [1]
depth-first search [2] [3]
| #Julia | Julia | function toposort(data::Dict{T,Set{T}}) where T
data = copy(data)
for (k, v) in data
delete!(v, k)
end
extraitems = setdiff(reduce(∪, values(data)), keys(data))
for item in extraitems
data[item] = Set{T}()
end
rst = Vector{T}()
while true
ordered = Set(item for (item, dep) in data if isempty(dep))
if isempty(ordered) break end
append!(rst, ordered)
data = Dict{T,Set{T}}(item => setdiff(dep, ordered) for (item, dep) in data if item ∉ ordered)
end
@assert isempty(data) "a cyclic dependency exists amongst $(keys(data))"
return rst
end
data = Dict{String,Set{String}}(
"des_system_lib" => Set(split("std synopsys std_cell_lib des_system_lib dw02 dw01 ramlib ieee")),
"dw01" => Set(split("ieee dw01 dware gtech")),
"dw02" => Set(split("ieee dw02 dware")),
"dw03" => Set(split("std synopsys dware dw03 dw02 dw01 ieee gtech")),
"dw04" => Set(split("dw04 ieee dw01 dware gtech")),
"dw05" => Set(split("dw05 ieee dware")),
"dw06" => Set(split("dw06 ieee dware")),
"dw07" => Set(split("ieee dware")),
"dware" => Set(split("ieee dware")),
"gtech" => Set(split("ieee gtech")),
"ramlib" => Set(split("std ieee")),
"std_cell_lib" => Set(split("ieee std_cell_lib")),
"synopsys" => Set(),
)
println("# Topologically sorted:\n - ", join(toposort(data), "\n - ")) |
http://rosettacode.org/wiki/Universal_Turing_machine | Universal Turing machine | One of the foundational mathematical constructs behind computer science
is the universal Turing Machine.
(Alan Turing introduced the idea of such a machine in 1936–1937.)
Indeed one way to definitively prove that a language
is turing-complete
is to implement a universal Turing machine in it.
Task
Simulate such a machine capable
of taking the definition of any other Turing machine and executing it.
Of course, you will not have an infinite tape,
but you should emulate this as much as is possible.
The three permissible actions on the tape are "left", "right" and "stay".
To test your universal Turing machine (and prove your programming language
is Turing complete!), you should execute the following two Turing machines
based on the following definitions.
Simple incrementer
States: q0, qf
Initial state: q0
Terminating states: qf
Permissible symbols: B, 1
Blank symbol: B
Rules:
(q0, 1, 1, right, q0)
(q0, B, 1, stay, qf)
The input for this machine should be a tape of 1 1 1
Three-state busy beaver
States: a, b, c, halt
Initial state: a
Terminating states: halt
Permissible symbols: 0, 1
Blank symbol: 0
Rules:
(a, 0, 1, right, b)
(a, 1, 1, left, c)
(b, 0, 1, left, a)
(b, 1, 1, right, b)
(c, 0, 1, left, b)
(c, 1, 1, stay, halt)
The input for this machine should be an empty tape.
Bonus:
5-state, 2-symbol probable Busy Beaver machine from Wikipedia
States: A, B, C, D, E, H
Initial state: A
Terminating states: H
Permissible symbols: 0, 1
Blank symbol: 0
Rules:
(A, 0, 1, right, B)
(A, 1, 1, left, C)
(B, 0, 1, right, C)
(B, 1, 1, right, B)
(C, 0, 1, right, D)
(C, 1, 0, left, E)
(D, 0, 1, left, A)
(D, 1, 1, left, D)
(E, 0, 1, stay, H)
(E, 1, 0, left, A)
The input for this machine should be an empty tape.
This machine runs for more than 47 millions steps.
| #Prolog | Prolog | turing(Config, Rules, TapeIn, TapeOut) :-
call(Config, IS, _, _, _, _),
perform(Config, Rules, IS, {[], TapeIn}, {Ls, Rs}),
reverse(Ls, Ls1),
append(Ls1, Rs, TapeOut).
perform(Config, Rules, State, TapeIn, TapeOut) :-
call(Config, _, FS, RS, B, Symbols),
( memberchk(State, FS) ->
TapeOut = TapeIn
; memberchk(State, RS) ->
{LeftIn, RightIn} = TapeIn,
symbol(RightIn, Symbol, RightRem, B),
memberchk(Symbol, Symbols),
once(call(Rules, State, Symbol, NewSymbol, Action, NewState)),
memberchk(NewSymbol, Symbols),
action(Action, {LeftIn, [NewSymbol|RightRem]}, {LeftOut, RightOut}, B),
perform(Config, Rules, NewState, {LeftOut, RightOut}, TapeOut) ).
symbol([], B, [], B).
symbol([Sym|Rs], Sym, Rs, _).
action(left, {Lin, Rin}, {Lout, Rout}, B) :- left(Lin, Rin, Lout, Rout, B).
action(stay, Tape, Tape, _).
action(right, {Lin, Rin}, {Lout, Rout}, B) :- right(Lin, Rin, Lout, Rout, B).
left([], Rs, [], [B|Rs], B).
left([L|Ls], Rs, Ls, [L|Rs], _).
right(L, [], [B|L], [], B).
right(L, [S|Rs], [S|L], Rs, _). |
http://rosettacode.org/wiki/Totient_function | Totient function | The totient function is also known as:
Euler's totient function
Euler's phi totient function
phi totient function
Φ function (uppercase Greek phi)
φ function (lowercase Greek phi)
Definitions (as per number theory)
The totient function:
counts the integers up to a given positive integer n that are relatively prime to n
counts the integers k in the range 1 ≤ k ≤ n for which the greatest common divisor gcd(n,k) is equal to 1
counts numbers ≤ n and prime to n
If the totient number (for N) is one less than N, then N is prime.
Task
Create a totient function and:
Find and display (1 per line) for the 1st 25 integers:
the integer (the index)
the totient number for that integer
indicate if that integer is prime
Find and display the count of the primes up to 100
Find and display the count of the primes up to 1,000
Find and display the count of the primes up to 10,000
Find and display the count of the primes up to 100,000 (optional)
Show all output here.
Related task
Perfect totient numbers
Also see
Wikipedia: Euler's totient function.
MathWorld: totient function.
OEIS: Euler totient function phi(n).
| #Racket | Racket | #lang racket
(require math/number-theory)
(define (prime*? n) (= (totient n) (sub1 n)))
(for ([n (in-range 1 26)])
(printf "φ(~a) = ~a~a~a\n"
n
(totient n)
(if (prime*? n) " is prime" "")
(if (prime? n) " (confirmed)" "")))
(for/fold ([count 0] #:result (void)) ([n (in-range 1 10001)])
(define new-count (if (prime*? n) (add1 count) count))
(when (member n '(100 1000 10000))
(printf "Primes up to ~a: ~a\n" n new-count))
new-count) |
http://rosettacode.org/wiki/Trigonometric_functions | Trigonometric functions | Task
If your language has a library or built-in functions for trigonometry, show examples of:
sine
cosine
tangent
inverses (of the above)
using the same angle in radians and degrees.
For the non-inverse functions, each radian/degree pair should use arguments that evaluate to the same angle (that is, it's not necessary to use the same angle for all three regular functions as long as the two sine calls use the same angle).
For the inverse functions, use the same number and convert its answer to radians and degrees.
If your language does not have trigonometric functions available or only has some available, write functions to calculate the functions based on any known approximation or identity.
| #J | J | (1&o. , 2&o. ,: 3&o.) (4 %~ o. 1) , 180 %~ o. 45
0.707107 0.707107
0.707107 0.707107
1 1 |
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm | Trabb Pardo–Knuth algorithm | The TPK algorithm is an early example of a programming chrestomathy.
It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages.
The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of the algorithm.
From the wikipedia entry:
ask for 11 numbers to be read into a sequence S
reverse sequence S
for each item in sequence S
result := call a function to do an operation
if result overflows
alert user
else
print result
The task is to implement the algorithm:
Use the function:
f
(
x
)
=
|
x
|
0.5
+
5
x
3
{\displaystyle f(x)=|x|^{0.5}+5x^{3}}
The overflow condition is an answer of greater than 400.
The 'user alert' should not stop processing of other items of the sequence.
Print a prompt before accepting eleven, textual, numeric inputs.
You may optionally print the item as well as its associated result, but the results must be in reverse order of input.
The sequence S may be 'implied' and so not shown explicitly.
Print and show the program in action from a typical run here. (If the output is graphical rather than text then either add a screendump or describe textually what is displayed).
| #Sidef | Sidef | var nums; do {
nums = Sys.readln("Please type 11 space-separated numbers: ").nums
} while(nums.len != 11)
nums.reverse.each { |n|
var r = (n.abs.sqrt + (5 * n**3));
say "#{n}\t#{ r > 400 ? 'Urk!' : r }";
} |
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm | Trabb Pardo–Knuth algorithm | The TPK algorithm is an early example of a programming chrestomathy.
It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages.
The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of the algorithm.
From the wikipedia entry:
ask for 11 numbers to be read into a sequence S
reverse sequence S
for each item in sequence S
result := call a function to do an operation
if result overflows
alert user
else
print result
The task is to implement the algorithm:
Use the function:
f
(
x
)
=
|
x
|
0.5
+
5
x
3
{\displaystyle f(x)=|x|^{0.5}+5x^{3}}
The overflow condition is an answer of greater than 400.
The 'user alert' should not stop processing of other items of the sequence.
Print a prompt before accepting eleven, textual, numeric inputs.
You may optionally print the item as well as its associated result, but the results must be in reverse order of input.
The sequence S may be 'implied' and so not shown explicitly.
Print and show the program in action from a typical run here. (If the output is graphical rather than text then either add a screendump or describe textually what is displayed).
| #Sinclair_ZX81_BASIC | Sinclair ZX81 BASIC | 10 DIM A(11)
20 PRINT "ENTER ELEVEN NUMBERS:"
30 FOR I=1 TO 11
40 INPUT A(I)
50 NEXT I
60 FOR I=11 TO 1 STEP -1
70 LET Y=SQR ABS A(I)+5*A(I)**3
80 IF Y<=400 THEN GOTO 110
90 PRINT A(I),"TOO LARGE"
100 GOTO 120
110 PRINT A(I),Y
120 NEXT I |
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm | Trabb Pardo–Knuth algorithm | The TPK algorithm is an early example of a programming chrestomathy.
It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages.
The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of the algorithm.
From the wikipedia entry:
ask for 11 numbers to be read into a sequence S
reverse sequence S
for each item in sequence S
result := call a function to do an operation
if result overflows
alert user
else
print result
The task is to implement the algorithm:
Use the function:
f
(
x
)
=
|
x
|
0.5
+
5
x
3
{\displaystyle f(x)=|x|^{0.5}+5x^{3}}
The overflow condition is an answer of greater than 400.
The 'user alert' should not stop processing of other items of the sequence.
Print a prompt before accepting eleven, textual, numeric inputs.
You may optionally print the item as well as its associated result, but the results must be in reverse order of input.
The sequence S may be 'implied' and so not shown explicitly.
Print and show the program in action from a typical run here. (If the output is graphical rather than text then either add a screendump or describe textually what is displayed).
| #Swift | Swift | import Foundation
print("Enter 11 numbers for the Trabb─Pardo─Knuth algorithm:")
let f: (Double) -> Double = { sqrt(fabs($0)) + 5 * pow($0, 3) }
(1...11)
.generate()
.map { i -> Double in
print("\(i): ", terminator: "")
guard let s = readLine(), let n = Double(s) else { return 0 }
return n
}
.reverse()
.forEach {
let result = f($0)
print("f(\($0))", result > 400.0 ? "OVERFLOW" : result, separator: "\t")
}
|
http://rosettacode.org/wiki/Truncatable_primes | Truncatable primes | A truncatable prime is a prime number that when you successively remove digits from one end of the prime, you are left with a new prime number.
Examples
The number 997 is called a left-truncatable prime as the numbers 997, 97, and 7 are all prime.
The number 7393 is a right-truncatable prime as the numbers 7393, 739, 73, and 7 formed by removing digits from its right are also prime.
No zeroes are allowed in truncatable primes.
Task
The task is to find the largest left-truncatable and right-truncatable primes less than one million (base 10 is implied).
Related tasks
Find largest left truncatable prime in a given base
Sieve of Eratosthenes
See also
Truncatable Prime from MathWorld.]
| #REXX | REXX | /*REXX program finds largest left─ and right─truncatable primes ≤ 1m (or argument 1).*/
parse arg hi .; if hi=='' then hi= 1000000 /*Not specified? Then use default of 1m*/
call genP /*generate some primes, about hi ÷ 2 */
/* [↓] find largest left truncatable P*/
do L=# by -1 for # /*search from top end; get the length.*/
do k=1 for length(@.L); _= right(@.L, k) /*validate all left truncatable primes.*/
if \!._ then iterate L /*Truncated number not prime? Skip it.*/
end /*k*/
leave /*egress, found left truncatable prime.*/
end /*L*/
/* [↓] find largest right truncated P.*/
do R=# by -1 for # /*search from top end; get the length.*/
do k=1 for length(@.R); _= left(@.R, k) /*validate all right truncatable primes*/
if \!._ then iterate R /*Truncated number not prime? Skip it.*/
end /*k*/
leave /*egress, found right truncatable prime*/
end /*R*/
say 'The largest left─truncatable prime ≤' hi " is " right(@.L, w)
say 'The largest right─truncatable prime ≤' hi " is " right(@.R, w)
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
genP: !.= 0; w= length(hi) /*placeholders for primes; max width. */
@.1=2; @.2=3; @.3=5; @.4=7; @.5=11 /*define some low primes. */
!.2=1; !.3=1; !.5=1; !.7=1; !.11=1 /* " " " " flags. */
#=5; s.#= @.# **2 /*number of primes so far; prime². */
/* [↓] generate more primes ≤ high.*/
do j=@.#+2 by 2 for max(0, hi%2-@.#%2-1) /*find odd primes from here on. */
parse var j '' -1 _; if _==5 then iterate /*J divisible by 5? (right dig)*/
if j// 3==0 then iterate /*" " " 3? */
if j// 7==0 then iterate /*" " " 7? */
/* [↑] the above five lines saves time*/
do k=5 while s.k<=j /* [↓] divide by the known odd primes.*/
if j // @.k == 0 then iterate j /*Is J ÷ X? Then not prime. ___ */
end /*k*/ /* [↑] only process numbers ≤ √ J */
#= #+1; @.#= j; s.#= j*j; !.j= 1 /*bump # of Ps; assign next P; P²; P# */
end /*j*/
return |
http://rosettacode.org/wiki/Tree_traversal | Tree traversal | Task
Implement a binary tree where each node carries an integer, and implement:
pre-order,
in-order,
post-order, and
level-order traversal.
Use those traversals to output the following tree:
1
/ \
/ \
/ \
2 3
/ \ /
4 5 6
/ / \
7 8 9
The correct output should look like this:
preorder: 1 2 4 7 5 3 6 8 9
inorder: 7 4 2 5 1 8 6 9 3
postorder: 7 4 5 2 8 9 6 3 1
level-order: 1 2 3 4 5 6 7 8 9
See also
Wikipedia article: Tree traversal.
| #F.23 | F# | open System
open System.IO
type Tree<'a> =
| Tree of 'a * Tree<'a> * Tree<'a>
| Empty
let rec inorder tree =
seq {
match tree with
| Tree(x, left, right) ->
yield! inorder left
yield x
yield! inorder right
| Empty -> ()
}
let rec preorder tree =
seq {
match tree with
| Tree(x, left, right) ->
yield x
yield! preorder left
yield! preorder right
| Empty -> ()
}
let rec postorder tree =
seq {
match tree with
| Tree(x, left, right) ->
yield! postorder left
yield! postorder right
yield x
| Empty -> ()
}
let levelorder tree =
let rec loop queue =
seq {
match queue with
| [] -> ()
| (Empty::tail) -> yield! loop tail
| (Tree(x, l, r)::tail) ->
yield x
yield! loop (tail @ [l; r])
}
loop [tree]
[<EntryPoint>]
let main _ =
let tree =
Tree (1,
Tree (2,
Tree (4,
Tree (7, Empty, Empty),
Empty),
Tree (5, Empty, Empty)),
Tree (3,
Tree (6,
Tree (8, Empty, Empty),
Tree (9, Empty, Empty)),
Empty))
let show x = printf "%d " x
printf "preorder: "
preorder tree |> Seq.iter show
printf "\ninorder: "
inorder tree |> Seq.iter show
printf "\npostorder: "
postorder tree |> Seq.iter show
printf "\nlevel-order: "
levelorder tree |> Seq.iter show
0 |
http://rosettacode.org/wiki/Tokenize_a_string | Tokenize a string | Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word.
Display the words to the 'user', in the simplest manner possible, separated by a period.
To simplify, you may display a trailing period.
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #D.C3.A9j.C3.A0_Vu | Déjà Vu | !print join "." split "Hello,How,Are,You,Today" "," |
http://rosettacode.org/wiki/Tokenize_a_string | Tokenize a string | Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word.
Display the words to the 'user', in the simplest manner possible, separated by a period.
To simplify, you may display a trailing period.
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #E | E | ".".rjoin("Hello,How,Are,You,Today".split(",")) |
http://rosettacode.org/wiki/Time_a_function | Time a function | Task
Write a program which uses a timer (with the least granularity available
on your system) to time how long a function takes to execute.
Whenever possible, use methods which measure only the processing time used
by the current process; instead of the difference in system time
between start and finish, which could include time used by
other processes on the computer.
This task is intended as a subtask for Measure relative performance of sorting algorithms implementations.
| #Forth | Forth | : time: ( "word" -- )
utime 2>R ' EXECUTE
utime 2R> D-
<# # # # # # # [CHAR] . HOLD #S #> TYPE ." seconds" ;
1000 time: MS \ 1.000081 seconds ok |
http://rosettacode.org/wiki/Time_a_function | Time a function | Task
Write a program which uses a timer (with the least granularity available
on your system) to time how long a function takes to execute.
Whenever possible, use methods which measure only the processing time used
by the current process; instead of the difference in system time
between start and finish, which could include time used by
other processes on the computer.
This task is intended as a subtask for Measure relative performance of sorting algorithms implementations.
| #Fortran | Fortran |
c The subroutine to analyze
subroutine do_something()
c For testing we just do nothing for 3 seconds
call sleep(3)
return
end
c Main Program
program timing
integer(kind=8) start,finish,rate
call system_clock(count_rate=rate)
call system_clock(start)
c Here comes the function we want to time
call do_something()
call system_clock(finish)
write(6,*) 'Elapsed Time in seconds:',float(finish-start)/rate
return
end
|
http://rosettacode.org/wiki/Top_rank_per_group | Top rank per group | Task
Find the top N salaries in each department, where N is provided as a parameter.
Use this data as a formatted internal data structure (adapt it to your language-native idioms, rather than parse at runtime), or identify your external data source:
Employee Name,Employee ID,Salary,Department
Tyler Bennett,E10297,32000,D101
John Rappl,E21437,47000,D050
George Woltman,E00127,53500,D101
Adam Smith,E63535,18000,D202
Claire Buckman,E39876,27800,D202
David McClellan,E04242,41500,D101
Rich Holcomb,E01234,49500,D202
Nathan Adams,E41298,21900,D050
Richard Potter,E43128,15900,D101
David Motsinger,E27002,19250,D202
Tim Sampair,E03033,27000,D101
Kim Arlich,E10001,57000,D190
Timothy Grove,E16398,29900,D190
| #Forth | Forth |
\ Written in ANS-Forth; tested under VFX.
\ Requires the novice package: http://www.forth.org/novice.html
\ The following should already be done:
\ include novice.4th
\ include list.4th
marker TopRank.4th
\ This demonstrates how I typically use lists. A program such as this does not need any explicit iteration, so it is more like Factor than C.
\ I would define high-level languages as those that allow programs to be written without explicit iteration. Iteration is a major source of bugs.
\ The C library has QSORT that hides iteration, but user-written code very rarely uses this technique, and doesn't in the TopRank example.
\ ******
\ ****** The following defines our data-structure.
\ ****** Pretty much every struct definition has these basic functions.
\ ******
list
w field .name \ string
w field .id \ string
w field .salary \ integer
w field .dept \ string
constant employee
: init-employee ( name id salary department node -- node )
init-list >r
hstr r@ .dept !
r@ .salary !
hstr r@ .id !
hstr r@ .name !
r> ;
: new-employee ( name id salary dept -- node )
employee alloc
init-employee ;
: <kill-employee> ( node -- )
dup .name @ dealloc
dup .id @ dealloc
dup .dept @ dealloc
dealloc ;
: kill-employee ( head -- )
each[ <kill-employee> ]each ;
: <clone-employee> ( node -- new-node )
clone-node
dup .name @ hstr over .name !
dup .id @ hstr over .id !
dup .dept @ hstr over .dept ! ;
: clone-employee ( head -- new-head )
nil
swap each[ <clone-employee> link ]each ;
: <show-employee> ( node -- )
dup .id @ count type 4 spaces
dup .dept @ count type 4 spaces
dup .salary @ . 4 spaces
dup .name @ count type cr
drop ;
: show-employee ( head -- )
cr
each[ <show-employee> ]each ;
\ ******
\ ****** The following code is specific to the query that we want to do in this example problem.
\ ******
: employee-dept-salary ( new-node node -- new-node ? ) \ for use by FIND-PRIOR or INSERT-ORDERED
2dup
.dept @ count rot .dept @ count compare ?dup if A>B = nip exit then
.salary @ over .salary @ < ;
: <top> ( n rank current-dept head node -- n rank current-dept head )
2>r \ -- n rank current-dept
dup count r@ .dept @ count compare A=B <> if \ we have a new department
2drop \ discard RANK and CURRENT-DEPT
0 r@ .dept @ then \ start again with a new RANK and CURRENT-DEPT
rover rover > if \ if N > RANK then it is good
r> r> over \ -- n rank current-dept node head node
<clone-employee> link \ -- n rank current-dept node head
>r >r then \ -- n rank current-dept
swap 1+ swap \ increment RANK
rdrop r> ; \ -- n rank current-dept head
: top ( n head -- new-head ) \ make a new list of the top N salary earners in each dept \ requires that list be sorted by dept-salary
>r
0 c" xxx" nil \ -- n rank current-dept new-head \ initially for an invalid department
r> ['] <top> each
3nip ;
\ ******
\ ****** The following is a test of the program using sample data.
\ ******
nil ' employee-dept-salary
c" Tyler Bennett" c" E10297" 32000 c" D101" new-employee insert-ordered
c" John Rappl" c" E21437" 47000 c" D050" new-employee insert-ordered
c" George Woltman" c" E00127" 53500 c" D101" new-employee insert-ordered
c" Adam Smith" c" E63535" 18000 c" D202" new-employee insert-ordered
c" Claire Buckman" c" E39876" 27800 c" D202" new-employee insert-ordered
c" David McClellan" c" E04242" 41500 c" D101" new-employee insert-ordered
c" Rich Holcomb" c" E01234" 49500 c" D202" new-employee insert-ordered
c" Nathan Adams" c" E41298" 21900 c" D050" new-employee insert-ordered
c" Richard Potter" c" E43128" 15900 c" D101" new-employee insert-ordered
c" David Motsinger" c" E27002" 19250 c" D202" new-employee insert-ordered
c" Tim Sampair" c" E03033" 27000 c" D101" new-employee insert-ordered
c" Kim Arlich" c" E10001" 57000 c" D190" new-employee insert-ordered
c" Timothy Grove" c" E16398" 29900 c" D190" new-employee insert-ordered
drop constant test-data
cr .( N = 0 )
0 test-data top dup show-employee kill-employee
cr .( N = 1 )
1 test-data top dup show-employee kill-employee
cr .( N = 2 )
2 test-data top dup show-employee kill-employee
cr .( N = 3 )
3 test-data top dup show-employee kill-employee
test-data kill-employee
|
http://rosettacode.org/wiki/Tic-tac-toe | Tic-tac-toe |
Task
Play a game of tic-tac-toe.
Ensure that legal moves are played and that a winning position is notified.
Tic-tac-toe is also known as:
naughts and crosses
tic tac toe
tick tack toe
three in a row
tres en rayo and
Xs and Os
See also
MathWorld™, Tic-Tac-Toe game.
Wikipedia tic-tac-toe.
| #EasyLang | EasyLang | len f[] 9
state = 0
textsize 14
#
func init . .
linewidth 2
clear
color 666
move 34 4
line 34 80
move 62 4
line 62 80
move 10 28
line 86 28
move 10 56
line 86 56
linewidth 2.5
for i range 9
f[i] = 0
.
if state = 1
timer 0.2
.
.
func draw ind . .
c = ind mod 3
r = ind div 3
x = c * 28 + 20
y = r * 28 + 14
if f[ind] = 4
color 900
move x - 7 y - 7
line x + 7 y + 7
move x + 7 y - 7
line x - 7 y + 7
elif f[ind] = 1
color 009
move x y
circle 10
color -2
circle 7.5
.
.
func sum3 a d . st .
for i range 3
s += f[a]
a += d
.
if s = 3
st = -1
elif s = 12
st = 1
.
.
func rate . res done .
res = 0
for i range 3
call sum3 i * 3 1 res
.
for i range 3
call sum3 i 3 res
.
call sum3 0 4 res
call sum3 2 2 res
cnt = 1
for i range 9
if f[i] = 0
cnt += 1
.
.
res *= cnt
done = 1
if res = 0 and cnt > 1
done = 0
.
.
func minmax player alpha beta . rval rmov .
call rate rval done
if done = 1
if player = 1
rval = -rval
.
else
rval = alpha
start = random 9
mov = start
repeat
if f[mov] = 0
f[mov] = player
call minmax (5 - player) (-beta) (-rval) val h
val = -val
f[mov] = 0
if val > rval
rval = val
rmov = mov
.
.
mov = (mov + 1) mod 9
until mov = start or rval >= beta
.
.
.
func show_result val . .
color 555
move 16 84
if val < 0
# this never happens
text "You won"
elif val > 0
text "You lost"
else
text "Tie"
.
state += 2
.
func computer . .
call minmax 4 -11 11 val mov
f[mov] = 4
call draw mov
call rate val done
state = 0
if done = 1
call show_result val
.
.
func human . .
mov = floor ((mouse_x - 6) / 28) + 3 * floor (mouse_y / 28)
if f[mov] = 0
f[mov] = 1
call draw mov
state = 1
timer 0.5
.
.
on timer
call rate val done
if done = 1
call show_result val
else
call computer
.
.
on mouse_down
if state = 0
if mouse_x > 6 and mouse_x < 90 and mouse_y < 84
call human
.
elif state >= 2
state -= 2
call init
.
.
call init |
http://rosettacode.org/wiki/Towers_of_Hanoi | Towers of Hanoi | Task
Solve the Towers of Hanoi problem with recursion.
| #C.23 | C# | public void move(int n, int from, int to, int via) {
if (n == 1) {
System.Console.WriteLine("Move disk from pole " + from + " to pole " + to);
} else {
move(n - 1, from, via, to);
move(1, from, to, via);
move(n - 1, via, to, from);
}
} |
http://rosettacode.org/wiki/Thue-Morse | Thue-Morse | Task
Create a Thue-Morse sequence.
See also
YouTube entry: The Fairest Sharing Sequence Ever
YouTube entry: Math and OCD - My story with the Thue-Morse sequence
Task: Fairshare between two and more
| #Perl | Perl | sub complement
{
my $s = shift;
$s =~ tr/01/10/;
return $s;
}
my $str = '0';
for (0..6) {
say $str;
$str .= complement($str);
}
|
http://rosettacode.org/wiki/Thue-Morse | Thue-Morse | Task
Create a Thue-Morse sequence.
See also
YouTube entry: The Fairest Sharing Sequence Ever
YouTube entry: Math and OCD - My story with the Thue-Morse sequence
Task: Fairshare between two and more
| #Phix | Phix | string tm = "0"
for i=1 to 8 do
printf(1,"%s\n",tm)
tm &= sq_sub('0'+'1',tm)
end for
|
http://rosettacode.org/wiki/Tokenize_a_string_with_escaping | Tokenize a string with escaping | Task[edit]
Write a function or program that can split a string at each non-escaped occurrence of a separator character.
It should accept three input parameters:
The string
The separator character
The escape character
It should output a list of strings.
Details
Rules for splitting:
The fields that were separated by the separators, become the elements of the output list.
Empty fields should be preserved, even at the start and end.
Rules for escaping:
"Escaped" means preceded by an occurrence of the escape character that is not already escaped itself.
When the escape character precedes a character that has no special meaning, it still counts as an escape (but does not do anything special).
Each occurrence of the escape character that was used to escape something, should not become part of the output.
Test case
Demonstrate that your function satisfies the following test-case:
Input
Output
string:
one^|uno||three^^^^|four^^^|^cuatro|
separator character:
|
escape character:
^
one|uno
three^^
four^|cuatro
(Print the output list in any format you like, as long as it is it easy to see what the fields are.)
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #PicoLisp | PicoLisp | (de tokenize (Str Sep Esc)
(split
(make
(for (L (chop Str) L)
(let C (pop 'L)
(cond
((= C Esc) (link (pop 'L)))
((= C Sep) (link 0))
(T (link C)) ) ) ) )
0 ) ) |
http://rosettacode.org/wiki/Tokenize_a_string_with_escaping | Tokenize a string with escaping | Task[edit]
Write a function or program that can split a string at each non-escaped occurrence of a separator character.
It should accept three input parameters:
The string
The separator character
The escape character
It should output a list of strings.
Details
Rules for splitting:
The fields that were separated by the separators, become the elements of the output list.
Empty fields should be preserved, even at the start and end.
Rules for escaping:
"Escaped" means preceded by an occurrence of the escape character that is not already escaped itself.
When the escape character precedes a character that has no special meaning, it still counts as an escape (but does not do anything special).
Each occurrence of the escape character that was used to escape something, should not become part of the output.
Test case
Demonstrate that your function satisfies the following test-case:
Input
Output
string:
one^|uno||three^^^^|four^^^|^cuatro|
separator character:
|
escape character:
^
one|uno
three^^
four^|cuatro
(Print the output list in any format you like, as long as it is it easy to see what the fields are.)
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #PowerShell | PowerShell |
function Split-String ([string]$String, [char]$Separator, [char]$Escape)
{
if ($String -notmatch "\$Separator|\$Escape") {return $String}
[bool]$escaping = $false
[string]$output = ""
for ($i = 0; $i -lt $String.Length; $i++)
{
[char]$character = $String.Substring($i,1)
if ($escaping)
{
$output += $character
$escaping = $false
}
else
{
switch ($character)
{
{$_ -eq $Separator} {$output; $output = ""; break}
{$_ -eq $Escape} {$escaping = $true ; break}
Default {$output += $character}
}
}
}
if ($String[-1] -eq $Separator) {[String]::Empty}
}
|
http://rosettacode.org/wiki/Topological_sort | Topological sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Given a mapping between items, and items they depend on, a topological sort orders items so that no item precedes an item it depends upon.
The compiling of a library in the VHDL language has the constraint that a library must be compiled after any library it depends on.
A tool exists that extracts library dependencies.
Task
Write a function that will return a valid compile order of VHDL libraries from their dependencies.
Assume library names are single words.
Items mentioned as only dependents, (sic), have no dependents of their own, but their order of compiling must be given.
Any self dependencies should be ignored.
Any un-orderable dependencies should be flagged.
Use the following data as an example:
LIBRARY LIBRARY DEPENDENCIES
======= ====================
des_system_lib std synopsys std_cell_lib des_system_lib dw02 dw01 ramlib ieee
dw01 ieee dw01 dware gtech
dw02 ieee dw02 dware
dw03 std synopsys dware dw03 dw02 dw01 ieee gtech
dw04 dw04 ieee dw01 dware gtech
dw05 dw05 ieee dware
dw06 dw06 ieee dware
dw07 ieee dware
dware ieee dware
gtech ieee gtech
ramlib std ieee
std_cell_lib ieee std_cell_lib
synopsys
Note: the above data would be un-orderable if, for example, dw04 is added to the list of dependencies of dw01.
C.f.
Topological sort/Extracted top item.
There are two popular algorithms for topological sorting:
Kahn's 1962 topological sort [1]
depth-first search [2] [3]
| #Kotlin | Kotlin | // version 1.1.51
val s = "std, ieee, des_system_lib, dw01, dw02, dw03, dw04, dw05, " +
"dw06, dw07, dware, gtech, ramlib, std_cell_lib, synopsys"
val deps = mutableListOf(
2 to 0, 2 to 14, 2 to 13, 2 to 4, 2 to 3, 2 to 12, 2 to 1,
3 to 1, 3 to 10, 3 to 11,
4 to 1, 4 to 10,
5 to 0, 5 to 14, 5 to 10, 5 to 4, 5 to 3, 5 to 1, 5 to 11,
6 to 1, 6 to 3, 6 to 10, 6 to 11,
7 to 1, 7 to 10,
8 to 1, 8 to 10,
9 to 1, 9 to 10,
10 to 1,
11 to 1,
12 to 0, 12 to 1,
13 to 1
)
class Graph(s: String, edges: List<Pair<Int,Int>>) {
val vertices = s.split(", ")
val numVertices = vertices.size
val adjacency = List(numVertices) { BooleanArray(numVertices) }
init {
for (edge in edges) adjacency[edge.first][edge.second] = true
}
fun hasDependency(r: Int, todo: List<Int>): Boolean {
return todo.any { adjacency[r][it] }
}
fun topoSort(): List<String>? {
val result = mutableListOf<String>()
val todo = MutableList<Int>(numVertices) { it }
try {
outer@ while(!todo.isEmpty()) {
for ((i, r) in todo.withIndex()) {
if (!hasDependency(r, todo)) {
todo.removeAt(i)
result.add(vertices[r])
continue@outer
}
}
throw Exception("Graph has cycles")
}
}
catch (e: Exception) {
println(e)
return null
}
return result
}
}
fun main(args: Array<String>) {
val g = Graph(s, deps)
println("Topologically sorted order:")
println(g.topoSort())
println()
// now insert 3 to 6 at index 10 of deps
deps.add(10, 3 to 6)
val g2 = Graph(s, deps)
println("Following the addition of dw04 to the dependencies of dw01:")
println(g2.topoSort())
} |
http://rosettacode.org/wiki/Universal_Turing_machine | Universal Turing machine | One of the foundational mathematical constructs behind computer science
is the universal Turing Machine.
(Alan Turing introduced the idea of such a machine in 1936–1937.)
Indeed one way to definitively prove that a language
is turing-complete
is to implement a universal Turing machine in it.
Task
Simulate such a machine capable
of taking the definition of any other Turing machine and executing it.
Of course, you will not have an infinite tape,
but you should emulate this as much as is possible.
The three permissible actions on the tape are "left", "right" and "stay".
To test your universal Turing machine (and prove your programming language
is Turing complete!), you should execute the following two Turing machines
based on the following definitions.
Simple incrementer
States: q0, qf
Initial state: q0
Terminating states: qf
Permissible symbols: B, 1
Blank symbol: B
Rules:
(q0, 1, 1, right, q0)
(q0, B, 1, stay, qf)
The input for this machine should be a tape of 1 1 1
Three-state busy beaver
States: a, b, c, halt
Initial state: a
Terminating states: halt
Permissible symbols: 0, 1
Blank symbol: 0
Rules:
(a, 0, 1, right, b)
(a, 1, 1, left, c)
(b, 0, 1, left, a)
(b, 1, 1, right, b)
(c, 0, 1, left, b)
(c, 1, 1, stay, halt)
The input for this machine should be an empty tape.
Bonus:
5-state, 2-symbol probable Busy Beaver machine from Wikipedia
States: A, B, C, D, E, H
Initial state: A
Terminating states: H
Permissible symbols: 0, 1
Blank symbol: 0
Rules:
(A, 0, 1, right, B)
(A, 1, 1, left, C)
(B, 0, 1, right, C)
(B, 1, 1, right, B)
(C, 0, 1, right, D)
(C, 1, 0, left, E)
(D, 0, 1, left, A)
(D, 1, 1, left, D)
(E, 0, 1, stay, H)
(E, 1, 0, left, A)
The input for this machine should be an empty tape.
This machine runs for more than 47 millions steps.
| #Python | Python | from __future__ import print_function
def run_utm(
state = None,
blank = None,
rules = [],
tape = [],
halt = None,
pos = 0):
st = state
if not tape: tape = [blank]
if pos < 0: pos += len(tape)
if pos >= len(tape) or pos < 0: raise Error( "bad init position")
rules = dict(((s0, v0), (v1, dr, s1)) for (s0, v0, v1, dr, s1) in rules)
while True:
print(st, '\t', end=" ")
for i, v in enumerate(tape):
if i == pos: print("[%s]" % (v,), end=" ")
else: print(v, end=" ")
print()
if st == halt: break
if (st, tape[pos]) not in rules: break
(v1, dr, s1) = rules[(st, tape[pos])]
tape[pos] = v1
if dr == 'left':
if pos > 0: pos -= 1
else: tape.insert(0, blank)
if dr == 'right':
pos += 1
if pos >= len(tape): tape.append(blank)
st = s1
# EXAMPLES
print("incr machine\n")
run_utm(
halt = 'qf',
state = 'q0',
tape = list("111"),
blank = 'B',
rules = map(tuple,
["q0 1 1 right q0".split(),
"q0 B 1 stay qf".split()]
)
)
print("\nbusy beaver\n")
run_utm(
halt = 'halt',
state = 'a',
blank = '0',
rules = map(tuple,
["a 0 1 right b".split(),
"a 1 1 left c".split(),
"b 0 1 left a".split(),
"b 1 1 right b".split(),
"c 0 1 left b".split(),
"c 1 1 stay halt".split()]
)
)
print("\nsorting test\n")
run_utm(halt = 'STOP',
state = 'A',
blank = '0',
tape = "2 2 2 1 2 2 1 2 1 2 1 2 1 2".split(),
rules = map(tuple,
["A 1 1 right A".split(),
"A 2 3 right B".split(),
"A 0 0 left E".split(),
"B 1 1 right B".split(),
"B 2 2 right B".split(),
"B 0 0 left C".split(),
"C 1 2 left D".split(),
"C 2 2 left C".split(),
"C 3 2 left E".split(),
"D 1 1 left D".split(),
"D 2 2 left D".split(),
"D 3 1 right A".split(),
"E 1 1 left E".split(),
"E 0 0 right STOP".split()]
)
)
|
http://rosettacode.org/wiki/Totient_function | Totient function | The totient function is also known as:
Euler's totient function
Euler's phi totient function
phi totient function
Φ function (uppercase Greek phi)
φ function (lowercase Greek phi)
Definitions (as per number theory)
The totient function:
counts the integers up to a given positive integer n that are relatively prime to n
counts the integers k in the range 1 ≤ k ≤ n for which the greatest common divisor gcd(n,k) is equal to 1
counts numbers ≤ n and prime to n
If the totient number (for N) is one less than N, then N is prime.
Task
Create a totient function and:
Find and display (1 per line) for the 1st 25 integers:
the integer (the index)
the totient number for that integer
indicate if that integer is prime
Find and display the count of the primes up to 100
Find and display the count of the primes up to 1,000
Find and display the count of the primes up to 10,000
Find and display the count of the primes up to 100,000 (optional)
Show all output here.
Related task
Perfect totient numbers
Also see
Wikipedia: Euler's totient function.
MathWorld: totient function.
OEIS: Euler totient function phi(n).
| #Raku | Raku | use Prime::Factor;
my \𝜑 = 0, |(1..*).hyper.map: -> \t { t * [*] t.&prime-factors.squish.map: { 1 - 1/$_ } }
printf "𝜑(%2d) = %3d %s\n", $_, 𝜑[$_], $_ - 𝜑[$_] - 1 ?? '' !! 'Prime' for 1 .. 25;
(1e2, 1e3, 1e4, 1e5).map: -> $limit {
say "\nCount of primes <= $limit: " ~ +(^$limit).grep: {$_ == 𝜑[$_] + 1}
} |
http://rosettacode.org/wiki/Trigonometric_functions | Trigonometric functions | Task
If your language has a library or built-in functions for trigonometry, show examples of:
sine
cosine
tangent
inverses (of the above)
using the same angle in radians and degrees.
For the non-inverse functions, each radian/degree pair should use arguments that evaluate to the same angle (that is, it's not necessary to use the same angle for all three regular functions as long as the two sine calls use the same angle).
For the inverse functions, use the same number and convert its answer to radians and degrees.
If your language does not have trigonometric functions available or only has some available, write functions to calculate the functions based on any known approximation or identity.
| #Java | Java | public class Trig {
public static void main(String[] args) {
//Pi / 4 is 45 degrees. All answers should be the same.
double radians = Math.PI / 4;
double degrees = 45.0;
//sine
System.out.println(Math.sin(radians) + " " + Math.sin(Math.toRadians(degrees)));
//cosine
System.out.println(Math.cos(radians) + " " + Math.cos(Math.toRadians(degrees)));
//tangent
System.out.println(Math.tan(radians) + " " + Math.tan(Math.toRadians(degrees)));
//arcsine
double arcsin = Math.asin(Math.sin(radians));
System.out.println(arcsin + " " + Math.toDegrees(arcsin));
//arccosine
double arccos = Math.acos(Math.cos(radians));
System.out.println(arccos + " " + Math.toDegrees(arccos));
//arctangent
double arctan = Math.atan(Math.tan(radians));
System.out.println(arctan + " " + Math.toDegrees(arctan));
}
} |
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm | Trabb Pardo–Knuth algorithm | The TPK algorithm is an early example of a programming chrestomathy.
It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages.
The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of the algorithm.
From the wikipedia entry:
ask for 11 numbers to be read into a sequence S
reverse sequence S
for each item in sequence S
result := call a function to do an operation
if result overflows
alert user
else
print result
The task is to implement the algorithm:
Use the function:
f
(
x
)
=
|
x
|
0.5
+
5
x
3
{\displaystyle f(x)=|x|^{0.5}+5x^{3}}
The overflow condition is an answer of greater than 400.
The 'user alert' should not stop processing of other items of the sequence.
Print a prompt before accepting eleven, textual, numeric inputs.
You may optionally print the item as well as its associated result, but the results must be in reverse order of input.
The sequence S may be 'implied' and so not shown explicitly.
Print and show the program in action from a typical run here. (If the output is graphical rather than text then either add a screendump or describe textually what is displayed).
| #Symsyn | Symsyn |
|Trabb Pardo–Knuth algorithm
a : 11 0
i
if i LE 10
[] $s
~ $s w
w a.i
+ i
goif
endif
10 i
if i GE 0
call f
if x GT 400
'too large' $s
else
~ x $s
endif
~ i $r
+ ' ' $r
+ $r $s.1
$s []
- i
goif
endif
stop
f a.i t
* t t x
* x t x
* 5 x
abs t
sqrt t y
+ y x
return
|
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm | Trabb Pardo–Knuth algorithm | The TPK algorithm is an early example of a programming chrestomathy.
It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages.
The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of the algorithm.
From the wikipedia entry:
ask for 11 numbers to be read into a sequence S
reverse sequence S
for each item in sequence S
result := call a function to do an operation
if result overflows
alert user
else
print result
The task is to implement the algorithm:
Use the function:
f
(
x
)
=
|
x
|
0.5
+
5
x
3
{\displaystyle f(x)=|x|^{0.5}+5x^{3}}
The overflow condition is an answer of greater than 400.
The 'user alert' should not stop processing of other items of the sequence.
Print a prompt before accepting eleven, textual, numeric inputs.
You may optionally print the item as well as its associated result, but the results must be in reverse order of input.
The sequence S may be 'implied' and so not shown explicitly.
Print and show the program in action from a typical run here. (If the output is graphical rather than text then either add a screendump or describe textually what is displayed).
| #Tcl | Tcl | # Helper procedures
proc f {x} {expr {abs($x)**0.5 + 5*$x**3}}
proc overflow {y} {expr {$y > 400}}
# Read in 11 numbers, with nice prompting
fconfigure stdout -buffering none
for {set n 1} {$n <= 11} {incr n} {
puts -nonewline "number ${n}: "
lappend S [scan [gets stdin] "%f"]
}
# Process and print results in reverse order
foreach x [lreverse $S] {
set result [f $x]
if {[overflow $result]} {
puts "${x}: TOO LARGE!"
} else {
puts "${x}: $result"
}
} |
http://rosettacode.org/wiki/Truncatable_primes | Truncatable primes | A truncatable prime is a prime number that when you successively remove digits from one end of the prime, you are left with a new prime number.
Examples
The number 997 is called a left-truncatable prime as the numbers 997, 97, and 7 are all prime.
The number 7393 is a right-truncatable prime as the numbers 7393, 739, 73, and 7 formed by removing digits from its right are also prime.
No zeroes are allowed in truncatable primes.
Task
The task is to find the largest left-truncatable and right-truncatable primes less than one million (base 10 is implied).
Related tasks
Find largest left truncatable prime in a given base
Sieve of Eratosthenes
See also
Truncatable Prime from MathWorld.]
| #Ring | Ring |
# Project : Truncatable primes
for n = 1000000 to 1 step -1
flag = 1
flag2 = 1
strn = string(n)
for nr = 1 to len(strn)
if strn[nr] = "0"
flag2 = 0
ok
next
if flag2 = 1
for m = 1 to len(strn)
strp = right(strn, m)
if isprime(number(strp))
else
flag = 0
exit
ok
next
if flag = 1
nend = n
exit
ok
ok
next
see "Largest left truncatable prime : " + nend + nl
for n = 1000000 to 1 step -1
flag = 1
strn = string(n)
for m = 1 to len(strn)
strp = left(strn, len(strn) - m + 1)
if isprime(number(strp))
else
flag = 0
exit
ok
next
if flag = 1
nend = n
exit
ok
next
see "Largest right truncatable prime : " + nend + nl
func isprime num
if (num <= 1) return 0 ok
if (num % 2 = 0 and num != 2) return 0 ok
for i = 3 to floor(num / 2) -1 step 2
if (num % i = 0) return 0 ok
next
return 1
|
http://rosettacode.org/wiki/Truncatable_primes | Truncatable primes | A truncatable prime is a prime number that when you successively remove digits from one end of the prime, you are left with a new prime number.
Examples
The number 997 is called a left-truncatable prime as the numbers 997, 97, and 7 are all prime.
The number 7393 is a right-truncatable prime as the numbers 7393, 739, 73, and 7 formed by removing digits from its right are also prime.
No zeroes are allowed in truncatable primes.
Task
The task is to find the largest left-truncatable and right-truncatable primes less than one million (base 10 is implied).
Related tasks
Find largest left truncatable prime in a given base
Sieve of Eratosthenes
See also
Truncatable Prime from MathWorld.]
| #Ruby | Ruby | def left_truncatable?(n)
truncatable?(n) {|i| i.to_s[1..-1].to_i}
end
def right_truncatable?(n)
truncatable?(n) {|i| i/10}
end
def truncatable?(n, &trunc_func)
return false if n.to_s.include? "0"
loop do
n = trunc_func.call(n)
return true if n.zero?
return false unless Prime.prime?(n)
end
end
require 'prime'
primes = Prime.each(1_000_000).to_a.reverse
p primes.detect {|p| left_truncatable? p}
p primes.detect {|p| right_truncatable? p} |
http://rosettacode.org/wiki/Tree_traversal | Tree traversal | Task
Implement a binary tree where each node carries an integer, and implement:
pre-order,
in-order,
post-order, and
level-order traversal.
Use those traversals to output the following tree:
1
/ \
/ \
/ \
2 3
/ \ /
4 5 6
/ / \
7 8 9
The correct output should look like this:
preorder: 1 2 4 7 5 3 6 8 9
inorder: 7 4 2 5 1 8 6 9 3
postorder: 7 4 5 2 8 9 6 3 1
level-order: 1 2 3 4 5 6 7 8 9
See also
Wikipedia article: Tree traversal.
| #Factor | Factor | USING: accessors combinators deques dlists fry io kernel
math.parser ;
IN: rosetta.tree-traversal
TUPLE: node data left right ;
CONSTANT: example-tree
T{ node f 1
T{ node f 2
T{ node f 4
T{ node f 7 f f }
f
}
T{ node f 5 f f }
}
T{ node f 3
T{ node f 6
T{ node f 8 f f }
T{ node f 9 f f }
}
f
}
}
: preorder ( node quot: ( data -- ) -- )
[ [ data>> ] dip call ]
[ [ left>> ] dip over [ preorder ] [ 2drop ] if ]
[ [ right>> ] dip over [ preorder ] [ 2drop ] if ]
2tri ; inline recursive
: inorder ( node quot: ( data -- ) -- )
[ [ left>> ] dip over [ inorder ] [ 2drop ] if ]
[ [ data>> ] dip call ]
[ [ right>> ] dip over [ inorder ] [ 2drop ] if ]
2tri ; inline recursive
: postorder ( node quot: ( data -- ) -- )
[ [ left>> ] dip over [ postorder ] [ 2drop ] if ]
[ [ right>> ] dip over [ postorder ] [ 2drop ] if ]
[ [ data>> ] dip call ]
2tri ; inline recursive
: (levelorder) ( dlist quot: ( data -- ) -- )
over deque-empty? [ 2drop ] [
[ dup pop-front ] dip {
[ [ data>> ] dip call drop ]
[ drop left>> [ swap push-back ] [ drop ] if* ]
[ drop right>> [ swap push-back ] [ drop ] if* ]
[ nip (levelorder) ]
} 3cleave
] if ; inline recursive
: levelorder ( node quot: ( data -- ) -- )
[ 1dlist ] dip (levelorder) ; inline
: levelorder2 ( node quot: ( data -- ) -- )
[ 1dlist ] dip
[ dup deque-empty? not ] swap '[
dup pop-front
[ data>> @ ]
[ left>> [ over push-back ] when* ]
[ right>> [ over push-back ] when* ] tri
] while drop ; inline
: main ( -- )
example-tree [ number>string write " " write ] {
[ "preorder: " write preorder nl ]
[ "inorder: " write inorder nl ]
[ "postorder: " write postorder nl ]
[ "levelorder: " write levelorder nl ]
[ "levelorder2: " write levelorder2 nl ]
} 2cleave ; |
http://rosettacode.org/wiki/Tokenize_a_string | Tokenize a string | Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word.
Display the words to the 'user', in the simplest manner possible, separated by a period.
To simplify, you may display a trailing period.
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Elena | Elena | import system'routines;
import extensions;
public program()
{
var string := "Hello,How,Are,You,Today";
string.splitBy:",".forEach:(s)
{
console.print(s,".")
}
} |
http://rosettacode.org/wiki/Tokenize_a_string | Tokenize a string | Separate the string "Hello,How,Are,You,Today" by commas into an array (or list) so that each element of it stores a different word.
Display the words to the 'user', in the simplest manner possible, separated by a period.
To simplify, you may display a trailing period.
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Elixir | Elixir |
tokens = String.split("Hello,How,Are,You,Today", ",")
IO.puts Enum.join(tokens, ".")
|
http://rosettacode.org/wiki/Time_a_function | Time a function | Task
Write a program which uses a timer (with the least granularity available
on your system) to time how long a function takes to execute.
Whenever possible, use methods which measure only the processing time used
by the current process; instead of the difference in system time
between start and finish, which could include time used by
other processes on the computer.
This task is intended as a subtask for Measure relative performance of sorting algorithms implementations.
| #FreeBASIC | FreeBASIC | ' FB 1.05.0 Win64
Function sumToLimit(limit As UInteger) As UInteger
Dim sum As UInteger = 0
For i As UInteger = 1 To limit
sum += i
Next
Return sum
End Function
Dim As Double start = timer
Dim limit As UInteger = 100000000
Dim result As UInteger = sumToLimit(limit)
Dim ms As UInteger = Int(1000 * (timer - start) + 0.5)
Print "sumToLimit("; Str(limit); ") = "; result
Print "took "; ms; " milliseconds to calculate"
Print
Print "Press any key to quit"
Sleep |
http://rosettacode.org/wiki/Time_a_function | Time a function | Task
Write a program which uses a timer (with the least granularity available
on your system) to time how long a function takes to execute.
Whenever possible, use methods which measure only the processing time used
by the current process; instead of the difference in system time
between start and finish, which could include time used by
other processes on the computer.
This task is intended as a subtask for Measure relative performance of sorting algorithms implementations.
| #GAP | GAP | # Return the time passed in last function
time; |
http://rosettacode.org/wiki/Top_rank_per_group | Top rank per group | Task
Find the top N salaries in each department, where N is provided as a parameter.
Use this data as a formatted internal data structure (adapt it to your language-native idioms, rather than parse at runtime), or identify your external data source:
Employee Name,Employee ID,Salary,Department
Tyler Bennett,E10297,32000,D101
John Rappl,E21437,47000,D050
George Woltman,E00127,53500,D101
Adam Smith,E63535,18000,D202
Claire Buckman,E39876,27800,D202
David McClellan,E04242,41500,D101
Rich Holcomb,E01234,49500,D202
Nathan Adams,E41298,21900,D050
Richard Potter,E43128,15900,D101
David Motsinger,E27002,19250,D202
Tim Sampair,E03033,27000,D101
Kim Arlich,E10001,57000,D190
Timothy Grove,E16398,29900,D190
| #Fortran | Fortran | DATA EMPLOYEE(1:3)/
1 GRIST("Tyler Bennett","E10297",32000,"D101"),
2 GRIST("John Rappl","E21437",47000,"D050"),
3 GRIST("George Woltman","E00127",53500,"D101")/
|
http://rosettacode.org/wiki/Tic-tac-toe | Tic-tac-toe |
Task
Play a game of tic-tac-toe.
Ensure that legal moves are played and that a winning position is notified.
Tic-tac-toe is also known as:
naughts and crosses
tic tac toe
tick tack toe
three in a row
tres en rayo and
Xs and Os
See also
MathWorld™, Tic-Tac-Toe game.
Wikipedia tic-tac-toe.
| #Erlang | Erlang |
-module(tic_tac_toe).
-export( [task/0] ).
task() -> io:fwrite( "Result: ~p.~n", [turn(player(random:uniform()), board())] ).
board() -> [{X, erlang:integer_to_list(X)} || X <- lists:seq(1, 9)].
board_tuples( Selections, Board ) -> [lists:keyfind(X, 1, Board) || X <- Selections].
computer_move( Player, Board ) ->
[N | _T] = lists:flatten( [X(Player, Board) || X <- [fun computer_move_win/2, fun computer_move_block/2, fun computer_move_middle/2, fun computer_move_random/2]] ),
N.
computer_move_block( Player, Board ) -> computer_move_two_same_player( player(false, Player), Board ).
computer_move_middle( _Player, Board ) ->
{5, Y} = lists:keyfind( 5, 1, Board ),
computer_move_middle( is_empty(Y) ).
computer_move_middle( true ) -> [5];
computer_move_middle( false ) -> [].
computer_move_random( _Player, Board ) ->
Ns = [X || {X, Y} <- Board, is_empty(Y)],
[lists:nth( random:uniform(erlang:length(Ns)), Ns )].
computer_move_two_same_player( Player, Board ) ->
Selections = [X || X <- three_in_row_all(), is_two_same_player(Player, X, Board)],
computer_move_two_same_player( Player, Board, Selections ).
computer_move_two_same_player( _Player, _Board, [] ) -> [];
computer_move_two_same_player( _Player, Board, [Selection | _T] ) -> [X || {X, Y} <- board_tuples(Selection, Board), is_empty(Y)].
computer_move_win( Player, Board ) -> computer_move_two_same_player( Player, Board ).
is_empty( Square ) -> Square =< "9". % Do not use < "10".
is_finished( Board ) -> is_full( Board ) orelse is_three_in_row( Board ).
is_full( Board ) -> [] =:= [X || {X, Y} <- Board, is_empty(Y)].
is_three_in_row( Board ) ->
Fun = fun(Selections) -> is_three_in_row_same_player( board_tuples(Selections, Board) ) end,
lists:any( Fun, three_in_row_all() ).
is_three_in_row_same_player( Selected ) -> three_in_row_player( Selected ) =/= no_player.
is_two_same_player( Player, Selections, Board ) -> is_two_same_player( Player, [{X, Y} || {X, Y} <- board_tuples(Selections, Board), not is_empty(Y)] ).
is_two_same_player( Player, [{_X, Player}, {_Y, Player}] ) -> true;
is_two_same_player( _Player, _Selected ) -> false.
player( Random ) when Random > 0.5 -> "O";
player( _Random ) -> "X".
player( true, _Player ) -> finished;
player( false, "X" ) -> "O";
player( false, "O" ) -> "X".
result( Board ) -> result( is_full(Board), Board ).
result( true, _Board ) -> draw;
result( false, Board ) ->
[Winners] = [Selections || Selections <- three_in_row_all(), three_in_row_player(board_tuples(Selections, Board)) =/= no_player],
"Winner is " ++ three_in_row_player( board_tuples(Winners, Board) ).
three_in_row_all() -> three_in_row_horisontal() ++ three_in_row_vertical() ++ three_in_row_diagonal().
three_in_row_diagonal() -> [[1,5,9], [3,5,7]].
three_in_row_horisontal() -> [[1,2,3], [4,5,6], [7,8,9]].
three_in_row_vertical() -> [[1,4,7], [2,5,8], [3,6,9]].
three_in_row_player( [{_X, Player}, {_Y, Player}, {_Z, Player}] ) -> three_in_row_player( not is_empty(Player), Player );
three_in_row_player( _Selected ) -> no_player.
three_in_row_player( true, Player ) -> Player;
three_in_row_player( false, _Player ) -> no_player.
turn( finished, Board ) -> result( Board );
turn( "X"=Player, Board ) ->
N = computer_move( Player, Board ),
io:fwrite( "Computer, ~p, selected ~p~n", [Player, N] ),
New_board = [{N, Player} | lists:keydelete(N, 1, Board)],
turn( player(is_finished(New_board), Player), New_board );
turn( "O"=Player, Board ) ->
[turn_board_write_horisontal(X, Board) || X <- three_in_row_horisontal()],
Ns = [X || {X, Y} <- Board, is_empty(Y)],
Prompt = lists:flatten( io_lib:format("Player, ~p, select one of ~p: ", [Player, Ns]) ),
N = turn_next_move( Prompt, Ns ),
New_board = [{N, Player} | lists:keydelete(N, 1, Board)],
turn( player(is_finished(New_board), Player), New_board ).
turn_board_write_horisontal( Selections, Board ) ->
Tuples = [lists:keyfind(X, 1, Board) || X <- Selections],
[io:fwrite( "~p ", [Y]) || {_X, Y} <- Tuples],
io:fwrite( "~n" ).
turn_next_move( Prompt, Ns ) ->
{ok,[N]} = io:fread( Prompt, "~d" ),
turn_next_move_ok( lists:member(N, Ns), Prompt, Ns, N ).
turn_next_move_ok( true, _Prompt, _Ns, N ) -> N;
turn_next_move_ok( false, Prompt, Ns, _N ) -> turn_next_move( Prompt, Ns ).
|
http://rosettacode.org/wiki/Towers_of_Hanoi | Towers of Hanoi | Task
Solve the Towers of Hanoi problem with recursion.
| #C.2B.2B | C++ | void move(int n, int from, int to, int via) {
if (n == 1) {
std::cout << "Move disk from pole " << from << " to pole " << to << std::endl;
} else {
move(n - 1, from, via, to);
move(1, from, to, via);
move(n - 1, via, to, from);
}
} |
http://rosettacode.org/wiki/Thue-Morse | Thue-Morse | Task
Create a Thue-Morse sequence.
See also
YouTube entry: The Fairest Sharing Sequence Ever
YouTube entry: Math and OCD - My story with the Thue-Morse sequence
Task: Fairshare between two and more
| #Phixmonti | Phixmonti | def inverte
dup len
for
var i
i get not i set
endfor
enddef
0 1 tolist
8 for
.
dup print nl nl
inverte chain
endfor |
http://rosettacode.org/wiki/Thue-Morse | Thue-Morse | Task
Create a Thue-Morse sequence.
See also
YouTube entry: The Fairest Sharing Sequence Ever
YouTube entry: Math and OCD - My story with the Thue-Morse sequence
Task: Fairshare between two and more
| #PHP | PHP | <?php
function thueMorseSequence($length) {
$sequence = '';
for ($digit = $n = 0 ; $n < $length ; $n++) {
$x = $n ^ ($n - 1);
if (($x ^ ($x >> 1)) & 0x55555555) {
$digit = 1 - $digit;
}
$sequence .= $digit;
}
return $sequence;
}
for ($n = 10 ; $n <= 100 ; $n += 10) {
echo sprintf('%3d', $n), ' : ', thueMorseSequence($n), PHP_EOL;
} |
http://rosettacode.org/wiki/Tokenize_a_string_with_escaping | Tokenize a string with escaping | Task[edit]
Write a function or program that can split a string at each non-escaped occurrence of a separator character.
It should accept three input parameters:
The string
The separator character
The escape character
It should output a list of strings.
Details
Rules for splitting:
The fields that were separated by the separators, become the elements of the output list.
Empty fields should be preserved, even at the start and end.
Rules for escaping:
"Escaped" means preceded by an occurrence of the escape character that is not already escaped itself.
When the escape character precedes a character that has no special meaning, it still counts as an escape (but does not do anything special).
Each occurrence of the escape character that was used to escape something, should not become part of the output.
Test case
Demonstrate that your function satisfies the following test-case:
Input
Output
string:
one^|uno||three^^^^|four^^^|^cuatro|
separator character:
|
escape character:
^
one|uno
three^^
four^|cuatro
(Print the output list in any format you like, as long as it is it easy to see what the fields are.)
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Python | Python | def token_with_escape(a, escape = '^', separator = '|'):
'''
Issue python -m doctest thisfile.py to run the doctests.
>>> print(token_with_escape('one^|uno||three^^^^|four^^^|^cuatro|'))
['one|uno', '', 'three^^', 'four^|cuatro', '']
'''
result = []
token = ''
state = 0
for c in a:
if state == 0:
if c == escape:
state = 1
elif c == separator:
result.append(token)
token = ''
else:
token += c
elif state == 1:
token += c
state = 0
result.append(token)
return result |
http://rosettacode.org/wiki/Tokenize_a_string_with_escaping | Tokenize a string with escaping | Task[edit]
Write a function or program that can split a string at each non-escaped occurrence of a separator character.
It should accept three input parameters:
The string
The separator character
The escape character
It should output a list of strings.
Details
Rules for splitting:
The fields that were separated by the separators, become the elements of the output list.
Empty fields should be preserved, even at the start and end.
Rules for escaping:
"Escaped" means preceded by an occurrence of the escape character that is not already escaped itself.
When the escape character precedes a character that has no special meaning, it still counts as an escape (but does not do anything special).
Each occurrence of the escape character that was used to escape something, should not become part of the output.
Test case
Demonstrate that your function satisfies the following test-case:
Input
Output
string:
one^|uno||three^^^^|four^^^|^cuatro|
separator character:
|
escape character:
^
one|uno
three^^
four^|cuatro
(Print the output list in any format you like, as long as it is it easy to see what the fields are.)
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Racket | Racket | #lang racket/base
(require racket/match)
;; Returns a tokenising function based on sep and esc
(define ((tokenise-with-escape sep esc) str)
(define tsil->string (compose list->string reverse))
(define (inr rem l-acc acc)
(match rem
['() (if (and (null? acc) (null? l-acc)) null (reverse (cons (tsil->string l-acc) acc)))]
[(list (== sep) tl ...) (inr tl null (cons (tsil->string l-acc) acc))]
[(list (== esc) c tl ...) (inr tl (cons c l-acc) acc)]
[(list c tl ...) (inr tl (cons c l-acc) acc)]))
(inr (string->list str) null null))
;; This is the tokeniser that matches the parameters in the task
(define task-tokeniser (tokenise-with-escape #\| #\^))
(define (report-input-output str)
(printf "Input: ~s~%Output: ~s~%~%" str (task-tokeniser str)))
(report-input-output "one^|uno||three^^^^|four^^^|^cuatro|")
(report-input-output "")
(report-input-output "|")
(report-input-output "^")
(report-input-output ".") |
http://rosettacode.org/wiki/Topological_sort | Topological sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Given a mapping between items, and items they depend on, a topological sort orders items so that no item precedes an item it depends upon.
The compiling of a library in the VHDL language has the constraint that a library must be compiled after any library it depends on.
A tool exists that extracts library dependencies.
Task
Write a function that will return a valid compile order of VHDL libraries from their dependencies.
Assume library names are single words.
Items mentioned as only dependents, (sic), have no dependents of their own, but their order of compiling must be given.
Any self dependencies should be ignored.
Any un-orderable dependencies should be flagged.
Use the following data as an example:
LIBRARY LIBRARY DEPENDENCIES
======= ====================
des_system_lib std synopsys std_cell_lib des_system_lib dw02 dw01 ramlib ieee
dw01 ieee dw01 dware gtech
dw02 ieee dw02 dware
dw03 std synopsys dware dw03 dw02 dw01 ieee gtech
dw04 dw04 ieee dw01 dware gtech
dw05 dw05 ieee dware
dw06 dw06 ieee dware
dw07 ieee dware
dware ieee dware
gtech ieee gtech
ramlib std ieee
std_cell_lib ieee std_cell_lib
synopsys
Note: the above data would be un-orderable if, for example, dw04 is added to the list of dependencies of dw01.
C.f.
Topological sort/Extracted top item.
There are two popular algorithms for topological sorting:
Kahn's 1962 topological sort [1]
depth-first search [2] [3]
| #M2000_Interpreter | M2000 Interpreter | Module testthis {
\\ empty stack
Flush
inventory LL
append LL, "des_system_lib":=(List:="std", "synopsys", "std_cell_lib", "des_system_lib", "dw02", "dw01", "ramlib", "ieee")
REM append LL, "dw01":=(List:="dw04","ieee", "dw01", "dware", "gtech")
append LL, "dw01":=(List:="ieee", "dw01", "dware", "gtech")
append LL, "dw02":=(List:="ieee", "dw02", "dware")
append LL, "dw03":=(List:="std", "synopsys", "dware", "dw03", "dw02", "dw01", "ieee", "gtech")
append LL, "dw04":=(List:= "ieee", "dw01", "dware", "gtech")
append LL, "dw05":=(List:="dw05", "ieee", "dware")
append LL, "dw06":=(List:="dw06", "ieee", "dware")
append LL, "dw07":=(List:="ieee", "dware")
append LL, "dware":=(List:="ieee", "dware")
append LL, "gtech":=(List:="ieee", "gtech")
append LL, "ramlib":=(List:="std", "ieee")
append LL, "std_cell_lib":=(List:="ieee", "std_cell_lib")
append LL, "synopsys":=List
\\ inventory itmes may have keys/items or keys.
\\ here we have keys so keys return as item also
\\ when we place an item in a key (an empty string) ...
\\ we mark the item to not return the key but an empty string
inventory final
mm=each(LL)
while mm
k$=eval$(mm!)
m=eval(mm)
mmm=each(m)
While mmm
k1$=eval$(mmm!)
if not exist(LL, k1$) then
if not exist(final, k1$) then append final, k1$
return m, k1$:="" \\ mark that item
else
mmmm=Eval(LL)
if len(mmmm)=0 then
if not exist(final, k1$) then append final, k1$
return m, k1$:="" \\ mark that item
end if
end if
end while
end while
mm=each(LL)
while mm
\\ using eval$(mm!) we read the key as string
k$=eval$(mm!)
if exist(final, k$) then continue
m=eval(mm)
mmm=each(m)
While mmm
\\ we read the item, if no item exist we get the key
k1$=eval$(mmm)
if k1$="" then continue
if exist(final, k1$) then continue
data k1$ \\ push to end to stack
end while
while not empty
read k1$
if exist(final, k1$) then continue
m=LL(k1$)
mmm=each(m)
delthis=0
While mmm
k2$=eval$(mmm)
if k2$="" then continue
if k1$=k2$ then continue
if exist(final, k2$) then continue
push k2$ \\ push to top of stack
return m, k2$:=""
delthis++
end while
if delthis=0 then
if not exist(final, k1$) then
mmm=each(m)
While mmm
k2$=eval$(mmm!)
if k2$=k1$ then continue
if exist(final, k2$) Else
Print "unsorted:";k1$, k2$
end if
end while
append final, k1$ : Return LL, k1$:=List
end if
end if
end while
if not exist(final, k$) then append final, k$
end while
document doc$
ret=each(final,1, -2)
while ret
doc$=eval$(ret)+" -> "
end while
doc$=final$(len(final)-1!)
Report doc$
clipboard doc$
}
testthis
|
http://rosettacode.org/wiki/Universal_Turing_machine | Universal Turing machine | One of the foundational mathematical constructs behind computer science
is the universal Turing Machine.
(Alan Turing introduced the idea of such a machine in 1936–1937.)
Indeed one way to definitively prove that a language
is turing-complete
is to implement a universal Turing machine in it.
Task
Simulate such a machine capable
of taking the definition of any other Turing machine and executing it.
Of course, you will not have an infinite tape,
but you should emulate this as much as is possible.
The three permissible actions on the tape are "left", "right" and "stay".
To test your universal Turing machine (and prove your programming language
is Turing complete!), you should execute the following two Turing machines
based on the following definitions.
Simple incrementer
States: q0, qf
Initial state: q0
Terminating states: qf
Permissible symbols: B, 1
Blank symbol: B
Rules:
(q0, 1, 1, right, q0)
(q0, B, 1, stay, qf)
The input for this machine should be a tape of 1 1 1
Three-state busy beaver
States: a, b, c, halt
Initial state: a
Terminating states: halt
Permissible symbols: 0, 1
Blank symbol: 0
Rules:
(a, 0, 1, right, b)
(a, 1, 1, left, c)
(b, 0, 1, left, a)
(b, 1, 1, right, b)
(c, 0, 1, left, b)
(c, 1, 1, stay, halt)
The input for this machine should be an empty tape.
Bonus:
5-state, 2-symbol probable Busy Beaver machine from Wikipedia
States: A, B, C, D, E, H
Initial state: A
Terminating states: H
Permissible symbols: 0, 1
Blank symbol: 0
Rules:
(A, 0, 1, right, B)
(A, 1, 1, left, C)
(B, 0, 1, right, C)
(B, 1, 1, right, B)
(C, 0, 1, right, D)
(C, 1, 0, left, E)
(D, 0, 1, left, A)
(D, 1, 1, left, D)
(E, 0, 1, stay, H)
(E, 1, 0, left, A)
The input for this machine should be an empty tape.
This machine runs for more than 47 millions steps.
| #Racket | Racket |
#lang racket
;;;=============================================================
;;; Due to heavy use of pattern matching we define few macros
;;;=============================================================
(define-syntax-rule (define-m f m ...)
(define f (match-lambda m ... (x x))))
(define-syntax-rule (define-m* f m ...)
(define f (match-lambda** m ...)))
;;;=============================================================
;;; The definition of a functional type Tape,
;;; representing infinite tape with O(1) operations:
;;; put, get, shift-right and shift-left.
;;;=============================================================
(struct Tape (the-left-part ; i-1 i-2 i-3 ...
the-current-record ; i
the-right-part)) ; i+1 i+2 i+3 ...
;; the initial record on the tape
(define-m initial-tape
[(cons h t) (Tape '() h t)])
;; shifts caret to the right
(define (snoc a b) (cons b a))
(define-m shift-right
[(Tape '() '() (cons h t)) (Tape '() h t)] ; left end
[(Tape l x '()) (Tape (snoc l x) '() '())] ; right end
[(Tape l x (cons h t)) (Tape (snoc l x) h t)]) ; general case
;; shifts caret to the left
(define-m flip-tape [(Tape l x r) (Tape r x l)])
(define shift-left
(compose flip-tape shift-right flip-tape))
;; returns the current record on the tape
(define-m get [(Tape _ v _) v])
;; writes to the current position on the tape
(define-m* put
[('() t) t]
[(v (Tape l _ r)) (Tape l v r)])
;; Shows the list representation of the tape (≤ O(n)).
;; A tape is shown as (... a b c (d) e f g ...)
;; where (d) marks the current position of the caret.
(define (revappend a b) (foldl cons b a))
(define-m show-tape
[(Tape '() '() '()) '()]
[(Tape l '() r) (revappend l (cons '() r))]
[(Tape l v r) (revappend l (cons (list v) r))])
;;;-------------------------------------------------------------------
;;; The Turing Machine interpreter
;;;
;; interpretation of output triple for a given tape
(define-m* interprete
[((list v 'right S) tape) (list S (shift-right (put v tape)))]
[((list v 'left S) tape) (list S (shift-left (put v tape)))]
[((list v 'stay S) tape) (list S (put v tape))]
[((list S _) tape) (list S tape)])
;; Runs the program.
;; The initial state is set to start.
;; The initial tape is given as a list of records.
;; The initial position is the leftmost symbol of initial record.
(define (run-turing prog t0 start)
((fixed-point
(match-lambda
[`(,S ,T) (begin
(printf "~a\t~a\n" S (show-tape T))
(interprete (prog `(,S ,(get T))) T))]))
(list start (initial-tape t0))))
;; a general fixed point operator
(define ((fixed-point f) x)
(let F ([x x] [fx (f x)])
(if (equal? x fx)
fx
(F fx (f fx)))))
;; A macro for definition of a Turing-Machines.
;; Transforms to a function which accepts a list of initial
;; tape records as input and returns the tape after stopping.
(define-syntax-rule (Turing-Machine #:start start (a b c d e) ...)
(λ (l)
(displayln "STATE\tTAPE")
((match-lambda [(list _ t) (flatten (show-tape t))])
(run-turing
(match-lambda ['(a b) '(c d e)] ... [x x])
l start))))
|
http://rosettacode.org/wiki/Totient_function | Totient function | The totient function is also known as:
Euler's totient function
Euler's phi totient function
phi totient function
Φ function (uppercase Greek phi)
φ function (lowercase Greek phi)
Definitions (as per number theory)
The totient function:
counts the integers up to a given positive integer n that are relatively prime to n
counts the integers k in the range 1 ≤ k ≤ n for which the greatest common divisor gcd(n,k) is equal to 1
counts numbers ≤ n and prime to n
If the totient number (for N) is one less than N, then N is prime.
Task
Create a totient function and:
Find and display (1 per line) for the 1st 25 integers:
the integer (the index)
the totient number for that integer
indicate if that integer is prime
Find and display the count of the primes up to 100
Find and display the count of the primes up to 1,000
Find and display the count of the primes up to 10,000
Find and display the count of the primes up to 100,000 (optional)
Show all output here.
Related task
Perfect totient numbers
Also see
Wikipedia: Euler's totient function.
MathWorld: totient function.
OEIS: Euler totient function phi(n).
| #REXX | REXX | /*REXX program calculates the totient numbers for a range of numbers, and count primes. */
parse arg N . /*obtain optional argument from the CL.*/
if N=='' | N=="," then N= 25 /*Not specified? Then use the default.*/
tell= N>0 /*N positive>? Then display them all. */
N= abs(N) /*use the absolute value of N for loop.*/
w= length(N) /*W: is used in aligning the output. */
primes= 0 /*the number of primes found (so far).*/
/*if N was negative, only count primes.*/
do j=1 for N; T= phi(j) /*obtain totient number for a number. */
prime= word('(prime)', 1 + (T \== j-1 ) ) /*determine if J is a prime number. */
if prime\=='' then primes= primes + 1 /*if a prime, then bump the prime count*/
if tell then say 'totient number for ' right(j, w) " ──► " right(T, w) ' ' prime
end /*j*/
say
say right(primes, w) ' primes detected for numbers up to and including ' N
exit 0 /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
gcd: parse arg x,y; do until y==0; parse value x//y y with y x
end /*until*/; return x
/*──────────────────────────────────────────────────────────────────────────────────────*/
phi: procedure; parse arg z; if z==1 then return 1
#= 1
do m=2 for z-2; if gcd(m, z)==1 then #= # + 1
end /*m*/; return # |
http://rosettacode.org/wiki/Trigonometric_functions | Trigonometric functions | Task
If your language has a library or built-in functions for trigonometry, show examples of:
sine
cosine
tangent
inverses (of the above)
using the same angle in radians and degrees.
For the non-inverse functions, each radian/degree pair should use arguments that evaluate to the same angle (that is, it's not necessary to use the same angle for all three regular functions as long as the two sine calls use the same angle).
For the inverse functions, use the same number and convert its answer to radians and degrees.
If your language does not have trigonometric functions available or only has some available, write functions to calculate the functions based on any known approximation or identity.
| #JavaScript | JavaScript | var
radians = Math.PI / 4, // Pi / 4 is 45 degrees. All answers should be the same.
degrees = 45.0,
sine = Math.sin(radians),
cosine = Math.cos(radians),
tangent = Math.tan(radians),
arcsin = Math.asin(sine),
arccos = Math.acos(cosine),
arctan = Math.atan(tangent);
// sine
window.alert(sine + " " + Math.sin(degrees * Math.PI / 180));
// cosine
window.alert(cosine + " " + Math.cos(degrees * Math.PI / 180));
// tangent
window.alert(tangent + " " + Math.tan(degrees * Math.PI / 180));
// arcsine
window.alert(arcsin + " " + (arcsin * 180 / Math.PI));
// arccosine
window.alert(arccos + " " + (arccos * 180 / Math.PI));
// arctangent
window.alert(arctan + " " + (arctan * 180 / Math.PI)); |
http://rosettacode.org/wiki/Trabb_Pardo%E2%80%93Knuth_algorithm | Trabb Pardo–Knuth algorithm | The TPK algorithm is an early example of a programming chrestomathy.
It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages.
The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of the algorithm.
From the wikipedia entry:
ask for 11 numbers to be read into a sequence S
reverse sequence S
for each item in sequence S
result := call a function to do an operation
if result overflows
alert user
else
print result
The task is to implement the algorithm:
Use the function:
f
(
x
)
=
|
x
|
0.5
+
5
x
3
{\displaystyle f(x)=|x|^{0.5}+5x^{3}}
The overflow condition is an answer of greater than 400.
The 'user alert' should not stop processing of other items of the sequence.
Print a prompt before accepting eleven, textual, numeric inputs.
You may optionally print the item as well as its associated result, but the results must be in reverse order of input.
The sequence S may be 'implied' and so not shown explicitly.
Print and show the program in action from a typical run here. (If the output is graphical rather than text then either add a screendump or describe textually what is displayed).
| #VBScript | VBScript |
Function tpk(s)
arr = Split(s," ")
For i = UBound(arr) To 0 Step -1
n = fx(CDbl(arr(i)))
If n > 400 Then
WScript.StdOut.WriteLine arr(i) & " = OVERFLOW"
Else
WScript.StdOut.WriteLine arr(i) & " = " & n
End If
Next
End Function
Function fx(x)
fx = Sqr(Abs(x))+5*x^3
End Function
'testing the function
WScript.StdOut.Write "Please enter a series of numbers:"
list = WScript.StdIn.ReadLine
tpk(list)
|
http://rosettacode.org/wiki/Truncatable_primes | Truncatable primes | A truncatable prime is a prime number that when you successively remove digits from one end of the prime, you are left with a new prime number.
Examples
The number 997 is called a left-truncatable prime as the numbers 997, 97, and 7 are all prime.
The number 7393 is a right-truncatable prime as the numbers 7393, 739, 73, and 7 formed by removing digits from its right are also prime.
No zeroes are allowed in truncatable primes.
Task
The task is to find the largest left-truncatable and right-truncatable primes less than one million (base 10 is implied).
Related tasks
Find largest left truncatable prime in a given base
Sieve of Eratosthenes
See also
Truncatable Prime from MathWorld.]
| #Rust | Rust | fn is_prime(n: u32) -> bool {
if n < 2 {
return false;
}
if n % 2 == 0 {
return n == 2;
}
if n % 3 == 0 {
return n == 3;
}
let mut p = 5;
while p * p <= n {
if n % p == 0 {
return false;
}
p += 2;
if n % p == 0 {
return false;
}
p += 4;
}
true
}
fn is_left_truncatable(p: u32) -> bool {
let mut n = 10;
let mut q = p;
while p > n {
if !is_prime(p % n) || q == p % n {
return false;
}
q = p % n;
n *= 10;
}
true
}
fn is_right_truncatable(p: u32) -> bool {
let mut q = p / 10;
while q > 0 {
if !is_prime(q) {
return false;
}
q /= 10;
}
true
}
fn main() {
let limit = 1000000;
let mut largest_left = 0;
let mut largest_right = 0;
let mut p = limit;
while p >= 2 {
if is_prime(p) && is_left_truncatable(p) {
largest_left = p;
break;
}
p -= 1;
}
println!("Largest left truncatable prime is {}", largest_left);
p = limit;
while p >= 2 {
if is_prime(p) && is_right_truncatable(p) {
largest_right = p;
break;
}
p -= 1;
}
println!("Largest right truncatable prime is {}", largest_right);
} |
http://rosettacode.org/wiki/Tree_traversal | Tree traversal | Task
Implement a binary tree where each node carries an integer, and implement:
pre-order,
in-order,
post-order, and
level-order traversal.
Use those traversals to output the following tree:
1
/ \
/ \
/ \
2 3
/ \ /
4 5 6
/ / \
7 8 9
The correct output should look like this:
preorder: 1 2 4 7 5 3 6 8 9
inorder: 7 4 2 5 1 8 6 9 3
postorder: 7 4 5 2 8 9 6 3 1
level-order: 1 2 3 4 5 6 7 8 9
See also
Wikipedia article: Tree traversal.
| #Fantom | Fantom |
class Tree
{
readonly Int label
readonly Tree? left
readonly Tree? right
new make (Int label, Tree? left := null, Tree? right := null)
{
this.label = label
this.left = left
this.right = right
}
Void preorder(|Int->Void| func)
{
func(label)
left?.preorder(func) // ?. will not call method if 'left' is null
right?.preorder(func)
}
Void postorder(|Int->Void| func)
{
left?.postorder(func)
right?.postorder(func)
func(label)
}
Void inorder(|Int->Void| func)
{
left?.inorder(func)
func(label)
right?.inorder(func)
}
Void levelorder(|Int->Void| func)
{
Tree[] nodes := [this]
while (nodes.size > 0)
{
Tree cur := nodes.removeAt(0)
func(cur.label)
if (cur.left != null) nodes.add (cur.left)
if (cur.right != null) nodes.add (cur.right)
}
}
}
class Main
{
public static Void main ()
{
tree := Tree(1,
Tree(2, Tree(4, Tree(7)), Tree(5)),
Tree(3, Tree(6, Tree(8), Tree(9))))
List result := [,]
collect := |Int a -> Void| { result.add(a) }
tree.preorder(collect)
echo ("preorder: " + result.join(" "))
result = [,]
tree.inorder(collect)
echo ("inorder: " + result.join(" "))
result = [,]
tree.postorder(collect)
echo ("postorder: " + result.join(" "))
result = [,]
tree.levelorder(collect)
echo ("levelorder: " + result.join(" "))
}
}
|
Subsets and Splits
No saved queries yet
Save your SQL queries to embed, download, and access them later. Queries will appear here once saved.