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http://rosettacode.org/wiki/Old_lady_swallowed_a_fly
Old lady swallowed a fly
Task Present a program which emits the lyrics to the song   I Knew an Old Lady Who Swallowed a Fly,   taking advantage of the repetitive structure of the song's lyrics. This song has multiple versions with slightly different lyrics, so all these programs might not emit identical output. 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";   var animals: [uint8][] := { "fly", "spider", "bird", "cat", "dog", "goat", "cow", "horse" };   var verses: [uint8][] := { "I don't know why she swallowed that fly - Perhaps she'll die.\n", "That wiggled and jiggled and tickled inside her!", "How absurd, to swallow a bird", "Imagine that! She swallowed a cat!", "What a hog to swallow a dog", "She just opened her throat and swallowed that goat", "I don't know how she swallowed that cow", "She's dead, of course." };   var i: uint8 := 0; while i < @sizeof animals loop print("There was an old lady who swallowed a "); print(animals[i]); print(",\n"); print(verses[i]); print_nl();   var j: uint8 := i; while j > 0 and i < @sizeof animals-1 loop print("She swallowed the "); print(animals[j]); print(" to catch the "); print(animals[j-1]); print(",\n"); if j <= 2 then print(verses[j-1]); print_nl(); end if; j := j - 1; end loop;   i := i + 1; end loop;
http://rosettacode.org/wiki/Old_lady_swallowed_a_fly
Old lady swallowed a fly
Task Present a program which emits the lyrics to the song   I Knew an Old Lady Who Swallowed a Fly,   taking advantage of the repetitive structure of the song's lyrics. This song has multiple versions with slightly different lyrics, so all these programs might not emit identical output. 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
import core.stdc.stdio;   immutable data = [ "_ha _c _e _p,/Quite absurd_f_p;_`cat,/Fancy that_fcat;_j`dog,/What a hog"~ "_fdog;_l`pig,/Her mouth_qso big_fpig;_d_r,/She just opened her throat_f_"~ "r;_icow,/_mhow she_ga cow;_k_o,/It_qrather wonky_f_o;_a_o_bcow,_khorse.."~ "./She's dead, of course!/","_a_p_b_e ","/S_t "," to catch the ","fly,/Bu"~ "t _mwhy s_t fly,/Perhaps she'll die!//_ha","_apig_bdog,_l`","spider,/Tha"~ "t wr_nj_ntickled inside her;_aspider_b_c",", to_s a ","_sed ","There_qan"~ " old lady who_g","_a_r_bpig,_d","_acat_b_p,_","_acow_b_r,_i","_adog_bcat"~ ",_j","I don't know ","iggled and ","donkey","bird"," was ","goat"," swal"~ "low","he_gthe"];   bool oldLady(in string part, bool s=false) nothrow @nogc { foreach (immutable ch; part) { if (s) s = oldLady(data[ch - '_'], false); else if (ch == '_') s = true; else putchar(ch == '/' ? '\n' : ch); }   return s; }   void main() { data[0].oldLady; }
http://rosettacode.org/wiki/Old_Russian_measure_of_length
Old Russian measure of length
Task Write a program to perform a conversion of the old Russian measures of length to the metric system   (and vice versa). It is an example of a linear transformation of several variables. The program should accept a single value in a selected unit of measurement, and convert and return it to the other units: vershoks, arshins, sazhens, versts, meters, centimeters and kilometers. Also see   Old Russian measure of length
#Raku
Raku
convert(1, 'meter');   say '*' x 40, "\n";   convert(1, 'milia');   sub convert (Real $magnitude, $unit) { my %factor = tochka => 0.000254, liniya => 0.00254, diuym => 0.0254, vershok => 0.04445, piad => 0.1778, fut => 0.3048, arshin => 0.7112, sazhen => 2.1336, versta => 1066.8, milia => 7467.6, centimeter => 0.01, meter => 1.0, kilometer => 1000.0, ;   my $meters = $magnitude * %factor{$unit.lc};   say "$magnitude $unit to:\n", '_' x 40;   printf "%10s: %s\n", $_, $meters / %factor{$_} unless $_ eq $unit.lc for %factor.keys.sort:{ +%factor{$_} } }  
http://rosettacode.org/wiki/Old_Russian_measure_of_length
Old Russian measure of length
Task Write a program to perform a conversion of the old Russian measures of length to the metric system   (and vice versa). It is an example of a linear transformation of several variables. The program should accept a single value in a selected unit of measurement, and convert and return it to the other units: vershoks, arshins, sazhens, versts, meters, centimeters and kilometers. Also see   Old Russian measure of length
#REXX
REXX
/*REXX program converts a metric or old Russian length to various other lengths. */ numeric digits 200 /*lots of digits. */ /*──translation───*/ /*tip, top */ vershok = 22.492971 /*1.75 inch. */ /*palm, quarter */ piad = vershok / 4 /*(also) chetvert.*/ /*yard */ arshin = vershok / 16 /*fathom */ sazhen = arshin / 3 /*turn (of a plow)*/ verst = sazhen / 500 /*(also) a versta.*/ /*mile */ milia = verst / 1.5 /*inch */ diuym = arshin * 28 /*foot */ fut = diuym / 12 /*sounds like foot*/ /*line */ liniya = diuym * 10 /*point */ tochka = diuym * 100   KM= 1000; CM=100 /*define a couple of metric multipliers*/ sw= linesize() -1 /*get the linesize (screen width) - 1.*/ parse arg N what _ __ /*obtain the user's input from the C.L.*/ if N=='' then call err 'no arguments specified.' if \datatype(N, 'N') then call err 'units not numeric: ' N if _\=='' then call err 'too many arguments specified: ' _ __ n= n / 1 /*normalize it (004──►4 7.──►7, etc.*/ if what=='' then what= 'meters'; whatU= what /*None specified? Then assume meters. */ upper whatU /*an uppercase version for ABBREV bif. */ select /* [↓] convert the length ───► meters.*/ when abbrev('METRES' , whatU ) |, abbrev('METERS' , whatU ) then m= N when abbrev('KILOMETRES' , whatU, 2 ) |, abbrev('KILOMETERS' , whatU, 2 ) |, abbrev('KMS' , whatU, ) then m= N * KM when abbrev('CENTIMETRES', whatU, 2 ) |, abbrev('CENTIMETERS', whatU, 2 ) |, abbrev('CMS' , whatU, 2 ) then m= N / CM when abbrev('ARSHINS' , whatU ) then m= N / arshin when abbrev('DIUYM' , whatU ) then m= N / diuym when abbrev('FUT' , whatU ) then m= N / fut when abbrev('LINIYA' , whatU ) then m= N / liniya when abbrev('PIADS' , whatU ) |, abbrev('CHETVERTS' , whatU, 2 ) then m= N / piad when abbrev('SAZHENS' , whatU ) then m= N / sazhen when abbrev('TOCHKA' , whatU ) then m= N / tochka when abbrev('VERSHOKS' , whatU, 5 ) then m= N / vershok when abbrev('VERSTAS' , whatU, 5 ) |, abbrev('VERSTS' , whatU, 2 ) then m= N / verst when abbrev('MILIA' , whatU, 2 ) then m= N / milia otherwise call err 'invalid measure name: ' what end /*select*/ say centre('metric', sw, "─") call tell m / KM , 'kilometer' call tell m , 'meter' call tell m * CM , 'centimeter' say centre('old Russian', sw, "─") call tell m * milia , 'milia' call tell m * verst , 'verst' call tell m * sazhen , 'sazhen' call tell m * arshin , 'arshin' call tell m * fut , 'fut' call tell m * piad , 'piad' call tell m * vershok , 'vershok' call tell m * diuym , 'diuym' call tell m * liniya , 'liniya' call tell m * tochka , 'tochka' /* ◄─── TELL shows eight decimal digits*/ exit 0 /*stick a fork in it, we're all done. */ /*──────────────────────────────────────────────────────────────────────────────────────*/ err: say center(' error ', sw % 2, "*"); do j=1 to arg(); say arg(j); end; exit 13 s: if arg(1)=1 then return arg(3); return word( arg(2) 's', 1) /*plurals.*/ tell: parse arg $; numeric digits 8; $= $ / 1; say right($, 40) arg(2)s($); return/*REXX program converts a metric or old Russian length to various other lengths. */ numeric digits 200 /*lots of digits. */ /*──translation───*/ /*tip, top */ vershok = 22.492971 /*1.75 inch. */ /*palm, quarter */ piad = vershok / 4 /*(also) chetvert.*/ /*yard */ arshin = vershok / 16 /*fathom */ sazhen = arshin / 3 /*turn (of a plow)*/ verst = sazhen / 500 /*(also) a versta.*/ /*mile */ milia = verst / 1.5 /*inch */ diuym = arshin * 28 /*foot */ fut = diuym / 12 /*sounds like foot*/ /*line */ liniya = diuym * 10 /*point */ tochka = diuym * 100   KM= 1000; CM=100 /*define a couple of metric multipliers*/ sw= linesize() -1 /*get the linesize (screen width) - 1.*/ parse arg N what _ __ /*obtain the user's input from the C.L.*/ if N=='' then call err 'no arguments specified.' if \datatype(N, 'N') then call err 'units not numeric: ' N if _\=='' then call err 'too many arguments specified: ' _ __ n= n / 1 /*normalize it (004──►4 7.──►7, etc.*/ if what=='' then what= 'meters'; whatU= what /*None specified? Then assume meters. */ upper whatU /*an uppercase version for ABBREV bif. */ select /* [↓] convert the length ───► meters.*/ when abbrev('METRES' , whatU ) |, abbrev('METERS' , whatU ) then m= N when abbrev('KILOMETRES' , whatU, 2 ) |, abbrev('KILOMETERS' , whatU, 2 ) |, abbrev('KMS' , whatU, ) then m= N * KM when abbrev('CENTIMETRES', whatU, 2 ) |, abbrev('CENTIMETERS', whatU, 2 ) |, abbrev('CMS' , whatU, 2 ) then m= N / CM when abbrev('ARSHINS' , whatU ) then m= N / arshin when abbrev('DIUYM' , whatU ) then m= N / diuym when abbrev('FUT' , whatU ) then m= N / fut when abbrev('LINIYA' , whatU ) then m= N / liniya when abbrev('PIADS' , whatU ) |, abbrev('CHETVERTS' , whatU, 2 ) then m= N / piad when abbrev('SAZHENS' , whatU ) then m= N / sazhen when abbrev('TOCHKA' , whatU ) then m= N / tochka when abbrev('VERSHOKS' , whatU, 5 ) then m= N / vershok when abbrev('VERSTAS' , whatU, 5 ) |, abbrev('VERSTS' , whatU, 2 ) then m= N / verst when abbrev('MILIA' , whatU, 2 ) then m= N / milia otherwise call err 'invalid measure name: ' what end /*select*/ say centre('metric', sw, "─") call tell m / KM , 'kilometer' call tell m , 'meter' call tell m * CM , 'centimeter' say centre('old Russian', sw, "─") call tell m * milia , 'milia' call tell m * verst , 'verst' call tell m * sazhen , 'sazhen' call tell m * arshin , 'arshin' call tell m * fut , 'fut' call tell m * piad , 'piad' call tell m * vershok , 'vershok' call tell m * diuym , 'diuym' call tell m * liniya , 'liniya' call tell m * tochka , 'tochka' /* ◄─── TELL shows eight decimal digits*/ exit 0 /*stick a fork in it, we're all done. */ /*──────────────────────────────────────────────────────────────────────────────────────*/ err: say center(' error ', sw % 2, "*"); do j=1 to arg(); say arg(j); end; exit 13 s: if arg(1)=1 then return arg(3); return word( arg(2) 's', 1) /*plurals.*/ tell: parse arg $; numeric digits 8; $= $ / 1; say right($, 40) arg(2)s($); return
http://rosettacode.org/wiki/OpenGL
OpenGL
Task Display a smooth shaded triangle with OpenGL. Triangle created using C example compiled with GCC 4.1.2 and freeglut3.
#Ol
Ol
  (import (lib gl)) (gl:set-window-title "Rosettacode OpenGL example")   (import (OpenGL version-1-0))   (glShadeModel GL_SMOOTH) (glClearColor 0.3 0.3 0.3 1) (glMatrixMode GL_PROJECTION) (glLoadIdentity) (glOrtho -30.0 30.0 -30.0 30.0 -30.0 30.0)   (gl:set-renderer (lambda (mouse) (glClear GL_COLOR_BUFFER_BIT)   (glMatrixMode GL_MODELVIEW) (glLoadIdentity) (glTranslatef -15.0 -15.0 0.0)   (glBegin GL_TRIANGLES) (glColor3f 1.0 0.0 0.0) (glVertex2f 0.0 0.0) (glColor3f 0.0 1.0 0.0) (glVertex2f 30.0 0.0) (glColor3f 0.0 0.0 1.0) (glVertex2f 0.0 30.0) (glEnd) ))  
http://rosettacode.org/wiki/One_of_n_lines_in_a_file
One of n lines in a file
A method of choosing a line randomly from a file: Without reading the file more than once When substantial parts of the file cannot be held in memory Without knowing how many lines are in the file Is to: keep the first line of the file as a possible choice, then Read the second line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/2. Read the third line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/3. ... Read the Nth line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/N Return the computed possible choice when no further lines exist in the file. Task Create a function/method/routine called one_of_n that given n, the number of actual lines in a file, follows the algorithm above to return an integer - the line number of the line chosen from the file. The number returned can vary, randomly, in each run. Use one_of_n in a simulation to find what woud be the chosen line of a 10 line file simulated 1,000,000 times. Print and show how many times each of the 10 lines is chosen as a rough measure of how well the algorithm works. Note: You may choose a smaller number of repetitions if necessary, but mention this up-front. Note: This is a specific version of a Reservoir Sampling algorithm: https://en.wikipedia.org/wiki/Reservoir_sampling
#J
J
randLineBig=:3 :0 file=. boxopen y r=. '' n=. 1 size=. fsize file blocksize=. 1e7 buffer=. '' for_block. |: blocksize -~/\@(] <. [ * 0 1 +/i.@>.@%~) size do. buffer=. buffer, fread file,<block linends=. LF = buffer lines=. linends <;.2 buffer buffer=. buffer }.~ {: 1+I.linends pick=. (0 ?@$~ #lines) < % n+i.#lines if. 1 e. pick do. r=. ({:I.pick) {:: lines end. n=. n+#lines end. r )
http://rosettacode.org/wiki/One_of_n_lines_in_a_file
One of n lines in a file
A method of choosing a line randomly from a file: Without reading the file more than once When substantial parts of the file cannot be held in memory Without knowing how many lines are in the file Is to: keep the first line of the file as a possible choice, then Read the second line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/2. Read the third line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/3. ... Read the Nth line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/N Return the computed possible choice when no further lines exist in the file. Task Create a function/method/routine called one_of_n that given n, the number of actual lines in a file, follows the algorithm above to return an integer - the line number of the line chosen from the file. The number returned can vary, randomly, in each run. Use one_of_n in a simulation to find what woud be the chosen line of a 10 line file simulated 1,000,000 times. Print and show how many times each of the 10 lines is chosen as a rough measure of how well the algorithm works. Note: You may choose a smaller number of repetitions if necessary, but mention this up-front. Note: This is a specific version of a Reservoir Sampling algorithm: https://en.wikipedia.org/wiki/Reservoir_sampling
#Java
Java
import java.util.Arrays; import java.util.Random;   public class OneOfNLines {   static Random rand;   public static int oneOfN(int n) { int choice = 0;   for(int i = 1; i < n; i++) { if(rand.nextInt(i+1) == 0) choice = i; }   return choice; }   public static void main(String[] args) { int n = 10; int trials = 1000000; int[] bins = new int[n]; rand = new Random();   for(int i = 0; i < trials; i++) bins[oneOfN(n)]++;     System.out.println(Arrays.toString(bins)); } }  
http://rosettacode.org/wiki/Optional_parameters
Optional parameters
Task Define a function/method/subroutine which sorts a sequence ("table") of sequences ("rows") of strings ("cells"), by one of the strings. Besides the input to be sorted, it shall have the following optional parameters: ordering A function specifying the ordering of strings; lexicographic by default. column An integer specifying which string of each row to compare; the first by default. reverse Reverses the ordering. This task should be considered to include both positional and named optional parameters, as well as overloading on argument count as in Java or selector name as in Smalltalk, or, in the extreme, using different function names. Provide these variations of sorting in whatever way is most natural to your language. If the language supports both methods naturally, you are encouraged to describe both. Do not implement a sorting algorithm; this task is about the interface. If you can't use a built-in sort routine, just omit the implementation (with a comment). See also: Named Arguments
#Phix
Phix
function increment(integer i, inc=1) return i+inc end function ?increment(5) -- shows 6 ?increment(5,2) -- shows 7
http://rosettacode.org/wiki/Optional_parameters
Optional parameters
Task Define a function/method/subroutine which sorts a sequence ("table") of sequences ("rows") of strings ("cells"), by one of the strings. Besides the input to be sorted, it shall have the following optional parameters: ordering A function specifying the ordering of strings; lexicographic by default. column An integer specifying which string of each row to compare; the first by default. reverse Reverses the ordering. This task should be considered to include both positional and named optional parameters, as well as overloading on argument count as in Java or selector name as in Smalltalk, or, in the extreme, using different function names. Provide these variations of sorting in whatever way is most natural to your language. If the language supports both methods naturally, you are encouraged to describe both. Do not implement a sorting algorithm; this task is about the interface. If you can't use a built-in sort routine, just omit the implementation (with a comment). See also: Named Arguments
#Phixmonti
Phixmonti
def mypower 1 tolist flatten len 1 == if 1 get 2 else 2 get swap 1 get rot endif power nip enddef   "2 ^2 = " print 2 mypower print nl "2 ^3 = " print 2 3 2 tolist mypower print
http://rosettacode.org/wiki/Order_two_numerical_lists
Order two numerical lists
sorting 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 Write a function that orders two lists or arrays filled with numbers. The function should accept two lists as arguments and return true if the first list should be ordered before the second, and false otherwise. The order is determined by lexicographic order: Comparing the first element of each list. If the first elements are equal, then the second elements should be compared, and so on, until one of the list has no more elements. If the first list runs out of elements the result is true. If the second list or both run out of elements the result is false. Note: further clarification of lexicographical ordering is expounded on the talk page here and here.
#Lhogho
Lhogho
print [1 2] = [1 2] print [1 2] = [1 2 3] print [1 3] = [1 2] print [1 2 3] = [1 2]   make "list1 [1 2 3 4 5 6] make "list2 [1 2 3 4 5 7] print :list1 = :list2
http://rosettacode.org/wiki/Order_two_numerical_lists
Order two numerical lists
sorting 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 Write a function that orders two lists or arrays filled with numbers. The function should accept two lists as arguments and return true if the first list should be ordered before the second, and false otherwise. The order is determined by lexicographic order: Comparing the first element of each list. If the first elements are equal, then the second elements should be compared, and so on, until one of the list has no more elements. If the first list runs out of elements the result is true. If the second list or both run out of elements the result is false. Note: further clarification of lexicographical ordering is expounded on the talk page here and here.
#Lua
Lua
function arraycompare(a, b) for i = 1, #a do if b[i] == nil then return true end if a[i] ~= b[i] then return a[i] < b[1] end end return true end
http://rosettacode.org/wiki/Ordered_words
Ordered words
An   ordered word   is a word in which the letters appear in alphabetic order. Examples include   abbey   and   dirt. Task[edit] Find and display all the ordered words in the dictionary   unixdict.txt   that have the longest word length. (Examples that access the dictionary file locally assume that you have downloaded this file yourself.) The display needs to be shown on this page. Related tasks Word plays Ordered words Palindrome detection Semordnilap Anagrams Anagrams/Deranged anagrams 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
#Lambdatalk
Lambdatalk
  {def maxOrderedWords   {def isOrdered {lambda {:w} {W.equal? :w {W.sort before :w}}}}   {def getOrdered {lambda {:w} {if {isOrdered :w} then :w else}}}   {def pushOrdered {lambda {:m :w} {if {= {W.length :w} :m} then {br}:w else}}}   {def maxOrderedWords.i {lambda {:sortedWords} {let { {:orderedWords {S.map getOrdered :sortedWords}} } {S.map {{lambda {:m :w} {pushOrdered :m :w}} {max {S.map {lambda {:w} {W.length :w}}  :orderedWords}}}  :orderedWords}}}}   {lambda {:s} {maxOrderedWords.i {S.replace else by el_se in :s}}}} -> maxOrderedWords   {maxOrderedWords UNIX.DICT} -> abbott accent accept access accost almost bellow billow biopsy chilly choosy choppy effort floppy glossy knotty  
http://rosettacode.org/wiki/Palindrome_detection
Palindrome detection
A palindrome is a phrase which reads the same backward and forward. Task[edit] Write a function or program that checks whether a given sequence of characters (or, if you prefer, bytes) is a palindrome. For extra credit: Support Unicode characters. Write a second function (possibly as a wrapper to the first) which detects inexact palindromes, i.e. phrases that are palindromes if white-space and punctuation is ignored and case-insensitive comparison is used. Hints It might be useful for this task to know how to reverse a string. This task's entries might also form the subjects of the task Test a function. Related tasks Word plays Ordered words Palindrome detection Semordnilap Anagrams Anagrams/Deranged anagrams 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
#PowerBASIC
PowerBASIC
FUNCTION isPalindrome (what AS STRING) AS LONG DIM whatcopy AS STRING, chk AS STRING, tmp AS STRING * 1, L0 AS LONG   FOR L0 = 1 TO LEN(what) tmp = UCASE$(MID$(what, L0, 1)) SELECT CASE tmp CASE "A" TO "Z" whatcopy = whatcopy & tmp chk = tmp & chk CASE "0" TO "9" MSGBOX "Numbers are cheating! (""" & what & """)" FUNCTION = 0 EXIT FUNCTION END SELECT NEXT   FUNCTION = ISTRUE((whatcopy) = chk) END FUNCTION     FUNCTION PBMAIN () AS LONG DATA "My dog has fleas", "Madam, I'm Adam.", "1 on 1", "In girum imus nocte et consumimur igni" DIM L1 AS LONG, w AS STRING FOR L1 = 1 TO DATACOUNT w = READ$(L1) IF ISTRUE(isPalindrome(w)) THEN MSGBOX $DQ & w & """ is a palindrome" ELSE MSGBOX $DQ & w & """ is not a palindrome" END IF NEXT END FUNCTION
http://rosettacode.org/wiki/Numeric_error_propagation
Numeric error propagation
If   f,   a,   and   b   are values with uncertainties   σf,   σa,   and   σb,   and   c   is a constant; then if   f   is derived from   a,   b,   and   c   in the following ways, then   σf   can be calculated as follows: Addition/Subtraction If   f = a ± c,   or   f = c ± a   then   σf = σa If   f = a ± b   then   σf2 = σa2 + σb2 Multiplication/Division If   f = ca   or   f = ac       then   σf = |cσa| If   f = ab   or   f = a / b   then   σf2 = f2( (σa / a)2 + (σb / b)2) Exponentiation If   f = ac   then   σf = |fc(σa / a)| Caution: This implementation of error propagation does not address issues of dependent and independent values.   It is assumed that   a   and   b   are independent and so the formula for multiplication should not be applied to   a*a   for example.   See   the talk page   for some of the implications of this issue. Task details Add an uncertain number type to your language that can support addition, subtraction, multiplication, division, and exponentiation between numbers with an associated error term together with 'normal' floating point numbers without an associated error term. Implement enough functionality to perform the following calculations. Given coordinates and their errors: x1 = 100 ± 1.1 y1 = 50 ± 1.2 x2 = 200 ± 2.2 y2 = 100 ± 2.3 if point p1 is located at (x1, y1) and p2 is at (x2, y2); calculate the distance between the two points using the classic Pythagorean formula: d = √   (x1 - x2)²   +   (y1 - y2)²   Print and display both   d   and its error. References A Guide to Error Propagation B. Keeney, 2005. Propagation of uncertainty Wikipedia. Related task   Quaternion type
#Icon_and_Unicon
Icon and Unicon
record num(val,err)   procedure main(a) x1 := num(100.0, 1.1) y1 := num(50.0, 1.2) x2 := num(200.0, 2.2) y2 := num(100.0, 2.3) d := pow(add(pow(sub(x1,x2),2),pow(sub(y1,y2),2)),0.5) write("d = [",d.val,", ",d.err,"]") end   procedure add(a,b) return (numeric(a)+numeric(b)) | num(numeric(a)+b.val, b.err) | num(a.val+numeric(b), a.err) | num(a.val+b.val, (a.err^2 + b.err^2) ^ 0.5) end   procedure sub(a,b) return (numeric(a)-numeric(b)) | num(numeric(a)-b.val, b.err) | num(a.val-numeric(b), a.err) | num(a.val-b.val, (a.err^2 + b.err^2) ^ 0.5) end   procedure mul(a,b) return (numeric(a)*numeric(b)) | num(numeric(a)*b.val, abs(a*b.err)) | num(a.val*numeric(b), abs(b*a.err)) | num(f := a.val*b.val, ((f^2*((a.err/a.val)^2+(b.err/b.val)^2))^0.5)) end   procedure div(a,b) return (numeric(a)/numeric(b)) | num(numeric(a)/b.val, abs(a*b.err)) | num(a.val/numeric(b), abs(b*a.err)) | num(f := a.val/b.val, ((f^2*((a.err/a.val)^2+(b.err/b.val)^2))^0.5)) end   procedure pow(a,b) return (numeric(a)^numeric(b)) | num(f := a.val^numeric(b), abs(f*b*(a.err/a.val))) end
http://rosettacode.org/wiki/Odd_word_problem
Odd word problem
Task Write a program that solves the odd word problem with the restrictions given below. Description You are promised an input stream consisting of English letters and punctuations. It is guaranteed that: the words (sequence of consecutive letters) are delimited by one and only one punctuation, the stream will begin with a word, the words will be at least one letter long,   and a full stop (a period, [.]) appears after, and only after, the last word. Example A stream with six words: what,is,the;meaning,of:life. The task is to reverse the letters in every other word while leaving punctuations intact, producing: what,si,the;gninaem,of:efil. while observing the following restrictions: Only I/O allowed is reading or writing one character at a time, which means: no reading in a string, no peeking ahead, no pushing characters back into the stream, and no storing characters in a global variable for later use; You are not to explicitly save characters in a collection data structure, such as arrays, strings, hash tables, etc, for later reversal; You are allowed to use recursions, closures, continuations, threads, co-routines, etc., even if their use implies the storage of multiple characters. Test cases Work on both the   "life"   example given above, and also the text: we,are;not,in,kansas;any,more.
#Haskell
Haskell
import System.IO (BufferMode(..), getContents, hSetBuffering, stdin, stdout) import Data.Char (isAlpha)   split :: String -> (String, String) split = span isAlpha   parse :: String -> String parse [] = [] parse l = let (a, w) = split l (b, x) = splitAt 1 w (c, y) = split x (d, z) = splitAt 1 y in a <> b <> reverse c <> d <> parse z   main :: IO () main = hSetBuffering stdin NoBuffering >> hSetBuffering stdout NoBuffering >> getContents >>= putStr . takeWhile (/= '.') . parse >> putStrLn "."
http://rosettacode.org/wiki/Number_names
Number names
Task Show how to spell out a number in English. You can use a preexisting implementation or roll your own, but you should support inputs up to at least one million (or the maximum value of your language's default bounded integer type, if that's less). Support for inputs other than positive integers (like zero, negative integers, and floating-point numbers) is optional. Related task   Spelling of ordinal numbers.
#Ada
Ada
with Ada.Text_IO;   procedure Integers_In_English is   type Spellable is range -999_999_999_999_999_999..999_999_999_999_999_999; function Spell (N : Spellable) return String is function Twenty (N : Spellable) return String is begin case N mod 20 is when 0 => return "zero"; when 1 => return "one"; when 2 => return "two"; when 3 => return "three"; when 4 => return "four"; when 5 => return "five"; when 6 => return "six"; when 7 => return "seven"; when 8 => return "eight"; when 9 => return "nine"; when 10 => return "ten"; when 11 => return "eleven"; when 12 => return "twelve"; when 13 => return "thirteen"; when 14 => return "fourteen"; when 15 => return "fifteen"; when 16 => return "sixteen"; when 17 => return "seventeen"; when 18 => return "eighteen"; when others => return "nineteen"; end case; end Twenty;   function Decade (N : Spellable) return String is begin case N mod 10 is when 2 => return "twenty"; when 3 => return "thirty"; when 4 => return "forty"; when 5 => return "fifty"; when 6 => return "sixty"; when 7 => return "seventy"; when 8 => return "eighty"; when others => return "ninety"; end case; end Decade;   function Hundred (N : Spellable) return String is begin if N < 20 then return Twenty (N); elsif 0 = N mod 10 then return Decade (N / 10 mod 10); else return Decade (N / 10) & '-' & Twenty (N mod 10); end if; end Hundred;   function Thousand (N : Spellable) return String is begin if N < 100 then return Hundred (N); elsif 0 = N mod 100 then return Twenty (N / 100) & " hundred"; else return Twenty (N / 100) & " hundred and " & Hundred (N mod 100); end if; end Thousand;   function Triplet ( N  : Spellable; Order : Spellable; Name  : String; Rest  : not null access function (N : Spellable) return String ) return String is High : Spellable := N / Order; Low  : Spellable := N mod Order; begin if High = 0 then return Rest (Low); elsif Low = 0 then return Thousand (High) & ' ' & Name; else return Thousand (High) & ' ' & Name & ", " & Rest (Low); end if; end Triplet;   function Million (N : Spellable) return String is begin return Triplet (N, 10**3, "thousand", Thousand'Access); end Million;   function Milliard (N : Spellable) return String is begin return Triplet (N, 10**6, "million", Million'Access); end Milliard;   function Billion (N : Spellable) return String is begin return Triplet (N, 10**9, "milliard", Milliard'Access); end Billion;   function Billiard (N : Spellable) return String is begin return Triplet (N, 10**12, "billion", Billion'Access); end Billiard;   begin if N < 0 then return "negative " & Spell(-N); else return Triplet (N, 10**15, "billiard", Billiard'Access); end if; end Spell;   procedure Spell_And_Print(N: Spellable) is Number: constant String := Spellable'Image(N); Spaces: constant String(1 .. 20) := (others => ' '); -- 20 * ' ' begin Ada.Text_IO.Put_Line(Spaces(Spaces'First .. Spaces'Last-Number'Length) & Number & ' ' & Spell(N)); end Spell_And_Print;   Samples: constant array (Natural range <>) of Spellable  := (99, 300, 310, 1_501, 12_609, 512_609, 43_112_609, 77_000_112_609, 2_000_000_000_100, 999_999_999_999_999_999, 0, -99, -1501, -77_000_112_609, -123_456_789_987_654_321);   begin for I in Samples'Range loop Spell_And_Print(Samples(I)); end loop; end Integers_In_English;
http://rosettacode.org/wiki/Number_reversal_game
Number reversal game
Task Given a jumbled list of the numbers   1   to   9   that are definitely   not   in ascending order. Show the list,   and then ask the player how many digits from the left to reverse. Reverse those digits,   then ask again,   until all the digits end up in ascending order. The score is the count of the reversals needed to attain the ascending order. Note: Assume the player's input does not need extra validation. Related tasks   Sorting algorithms/Pancake sort   Pancake sorting.   Topswops
#Astro
Astro
print '# Number reversal game'   var data, trials = list(1..9), 0   while data == sort data: random.shuffle data   while data != sort data: trials += 1 flip = int input '#${trials}: LIST: ${join data} Flip how many?: ' data[:flip] = reverse data[:flip]   print '\nYou took ${trials} attempts to put digits in order!'
http://rosettacode.org/wiki/Null_object
Null object
Null (or nil) is the computer science concept of an undefined or unbound object. Some languages have an explicit way to access the null object, and some don't. Some languages distinguish the null object from undefined values, and some don't. Task Show how to access null in your language by checking to see if an object is equivalent to the null object. This task is not about whether a variable is defined. The task is about "null"-like values in various languages, which may or may not be related to the defined-ness of variables in your language.
#ARM_Assembly
ARM Assembly
    /* ARM assembly Raspberry PI */ /* program nullobj.s */   /* Constantes */ .equ STDIN, 0 @ Linux input console .equ STDOUT, 1 @ Linux output console .equ EXIT, 1 @ Linux syscall .equ READ, 3 @ Linux syscall .equ WRITE, 4 @ Linux syscall   /* Initialized data */ .data szCarriageReturn: .asciz "\n" szMessResult: .asciz "Value is null.\n" @ message result   iPtrObjet: .int 0 @ objet pointer   /* UnInitialized data */ .bss   /* code section */ .text .global main main: @ entry of program   ldr r0,iAdriPtrObjet @ load pointer address ldr r0,[r0] @ load pointer value cmp r0,#0 @ is null ? ldreq r0,iAdrszMessResult @ yes -> display message bleq affichageMess     100: @ standard end of the program mov r0, #0 @ return code pop {fp,lr} @ restaur 2 registers mov r7, #EXIT @ request to exit program svc 0 @ perform the system call   iAdrszMessResult: .int szMessResult iAdrszCarriageReturn: .int szCarriageReturn iAdriPtrObjet: .int iPtrObjet /******************************************************************/ /* display text with size calculation */ /******************************************************************/ /* r0 contains the address of the message */ affichageMess: push {r0,r1,r2,r7,lr} @ save registres mov r2,#0 @ counter length 1: @ loop length calculation ldrb r1,[r0,r2] @ read octet start position + index cmp r1,#0 @ if 0 its over addne r2,r2,#1 @ else add 1 in the length bne 1b @ and loop @ so here r2 contains the length of the message mov r1,r0 @ address message in r1 mov r0,#STDOUT @ code to write to the standard output Linux mov r7, #WRITE @ code call system "write" svc #0 @ call systeme pop {r0,r1,r2,r7,lr} @ restaur des 2 registres */ bx lr @ return    
http://rosettacode.org/wiki/One-dimensional_cellular_automata
One-dimensional cellular automata
Assume an array of cells with an initial distribution of live and dead cells, and imaginary cells off the end of the array having fixed values. Cells in the next generation of the array are calculated based on the value of the cell and its left and right nearest neighbours in the current generation. If, in the following table, a live cell is represented by 1 and a dead cell by 0 then to generate the value of the cell at a particular index in the array of cellular values you use the following table: 000 -> 0 # 001 -> 0 # 010 -> 0 # Dies without enough neighbours 011 -> 1 # Needs one neighbour to survive 100 -> 0 # 101 -> 1 # Two neighbours giving birth 110 -> 1 # Needs one neighbour to survive 111 -> 0 # Starved to death.
#C
C
#include <stdio.h> #include <string.h>   char trans[] = "___#_##_";   #define v(i) (cell[i] != '_') int evolve(char cell[], char backup[], int len) { int i, diff = 0;   for (i = 0; i < len; i++) { /* use left, self, right as binary number bits for table index */ backup[i] = trans[ v(i-1) * 4 + v(i) * 2 + v(i + 1) ]; diff += (backup[i] != cell[i]); }   strcpy(cell, backup); return diff; }   int main() { char c[] = "_###_##_#_#_#_#__#__\n", b[] = "____________________\n";   do { printf(c + 1); } while (evolve(c + 1, b + 1, sizeof(c) - 3)); return 0; }
http://rosettacode.org/wiki/Numerical_integration
Numerical integration
Write functions to calculate the definite integral of a function ƒ(x) using all five of the following methods: rectangular left right midpoint trapezium Simpson's composite Your functions should take in the upper and lower bounds (a and b), and the number of approximations to make in that range (n). Assume that your example already has a function that gives values for ƒ(x) . Simpson's method is defined by the following pseudo-code: Pseudocode: Simpson's method, composite procedure quad_simpson_composite(f, a, b, n) h := (b - a) / n sum1 := f(a + h/2) sum2 := 0 loop on i from 1 to (n - 1) sum1 := sum1 + f(a + h * i + h/2) sum2 := sum2 + f(a + h * i)   answer := (h / 6) * (f(a) + f(b) + 4*sum1 + 2*sum2) Demonstrate your function by showing the results for:   ƒ(x) = x3,       where   x   is     [0,1],       with           100 approximations.   The exact result is     0.25               (or 1/4)   ƒ(x) = 1/x,     where   x   is   [1,100],     with        1,000 approximations.   The exact result is     4.605170+     (natural log of 100)   ƒ(x) = x,         where   x   is   [0,5000],   with 5,000,000 approximations.   The exact result is   12,500,000   ƒ(x) = x,         where   x   is   [0,6000],   with 6,000,000 approximations.   The exact result is   18,000,000 See also   Active object for integrating a function of real time.   Special:PrefixIndex/Numerical integration for other integration methods.
#C.2B.2B
C++
// the integration routine template<typename Method, typename F, typename Float> double integrate(F f, Float a, Float b, int steps, Method m) { double s = 0; double h = (b-a)/steps; for (int i = 0; i < steps; ++i) s += m(f, a + h*i, h); return h*s; }   // methods class rectangular { public: enum position_type { left, middle, right }; rectangular(position_type pos): position(pos) {} template<typename F, typename Float> double operator()(F f, Float x, Float h) const { switch(position) { case left: return f(x); case middle: return f(x+h/2); case right: return f(x+h); } } private: const position_type position; };   class trapezium { public: template<typename F, typename Float> double operator()(F f, Float x, Float h) const { return (f(x) + f(x+h))/2; } };   class simpson { public: template<typename F, typename Float> double operator()(F f, Float x, Float h) const { return (f(x) + 4*f(x+h/2) + f(x+h))/6; } };   // sample usage double f(double x) { return x*x; }   // inside a function somewhere: double rl = integrate(f, 0.0, 1.0, 10, rectangular(rectangular::left)); double rm = integrate(f, 0.0, 1.0, 10, rectangular(rectangular::middle)); double rr = integrate(f, 0.0, 1.0, 10, rectangular(rectangular::right)); double t = integrate(f, 0.0, 1.0, 10, trapezium()); double s = integrate(f, 0.0, 1.0, 10, simpson());
http://rosettacode.org/wiki/Numbers_with_equal_rises_and_falls
Numbers with equal rises and falls
When a number is written in base 10,   adjacent digits may "rise" or "fall" as the number is read   (usually from left to right). Definition Given the decimal digits of the number are written as a series   d:   A   rise   is an index   i   such that   d(i)  <  d(i+1)   A   fall    is an index   i   such that   d(i)  >  d(i+1) Examples   The number   726,169   has   3   rises and   2   falls,   so it isn't in the sequence.   The number     83,548   has   2   rises and   2   falls,   so it   is   in the sequence. Task   Print the first   200   numbers in the sequence   Show that the   10 millionth   (10,000,000th)   number in the sequence is   41,909,002 See also   OEIS Sequence  A296712   describes numbers whose digit sequence in base 10 have equal "rises" and "falls". Related tasks   Esthetic numbers
#jq
jq
def risesEqualsFalls: . as $n | if . < 10 then true else {rises: 0, falls: 0, prev: -1, n: $n} | until (.n <= 0; (.n % 10 ) as $d | if .prev >= 0 then if $d < .prev then .rises += 1 elif $d > .prev then .falls += 1 else . end else . end | .prev = $d | .n = ((.n/10)|floor) ) | .rises == .falls end ;   def A296712: range(1; infinite) | select(risesEqualsFalls);   # Override jq's incorrect definition of nth/2 # Emit the $n-th value of the stream, counting from 0; or emit nothing def nth($n; s): if $n < 0 then error("nth/2 doesn't support negative indices") else label $out | foreach s as $x (-1; .+1; select(. >= $n) | $x, break $out) end;   # The tasks "First 200:", [limit(200; A296712)],   "\nThe 10 millionth number in the sequence is \( nth(1e7 - 1; A296712))"
http://rosettacode.org/wiki/Numbers_with_equal_rises_and_falls
Numbers with equal rises and falls
When a number is written in base 10,   adjacent digits may "rise" or "fall" as the number is read   (usually from left to right). Definition Given the decimal digits of the number are written as a series   d:   A   rise   is an index   i   such that   d(i)  <  d(i+1)   A   fall    is an index   i   such that   d(i)  >  d(i+1) Examples   The number   726,169   has   3   rises and   2   falls,   so it isn't in the sequence.   The number     83,548   has   2   rises and   2   falls,   so it   is   in the sequence. Task   Print the first   200   numbers in the sequence   Show that the   10 millionth   (10,000,000th)   number in the sequence is   41,909,002 See also   OEIS Sequence  A296712   describes numbers whose digit sequence in base 10 have equal "rises" and "falls". Related tasks   Esthetic numbers
#Julia
Julia
using Lazy   function rises_and_falls(n) if n < 10 return 0, 0 end lastr, rises, falls = n % 10, 0, 0 while n != 0 n, r = divrem(n, 10) if r > lastr falls += 1 elseif r < lastr rises += 1 end lastr = r end return rises, falls end   isA296712(x) = ((a, b) = rises_and_falls(x); return a == b)   function genA296712(N, M) A296712 = filter(isA296712, Lazy.range(1)); j = 0 for i in take(200, A296712) j += 1 print(lpad(i, 4), j % 20 == 0 ? "\n" : "") end for i in take(M, A296712) j = i end println("\nThe $M-th number in sequence A296712 is $j.") end   genA296712(200, 10_000_000)  
http://rosettacode.org/wiki/Numbers_with_equal_rises_and_falls
Numbers with equal rises and falls
When a number is written in base 10,   adjacent digits may "rise" or "fall" as the number is read   (usually from left to right). Definition Given the decimal digits of the number are written as a series   d:   A   rise   is an index   i   such that   d(i)  <  d(i+1)   A   fall    is an index   i   such that   d(i)  >  d(i+1) Examples   The number   726,169   has   3   rises and   2   falls,   so it isn't in the sequence.   The number     83,548   has   2   rises and   2   falls,   so it   is   in the sequence. Task   Print the first   200   numbers in the sequence   Show that the   10 millionth   (10,000,000th)   number in the sequence is   41,909,002 See also   OEIS Sequence  A296712   describes numbers whose digit sequence in base 10 have equal "rises" and "falls". Related tasks   Esthetic numbers
#MAD
MAD
NORMAL MODE IS INTEGER VECTOR VALUES FMT = $I8,1H:,I9*$   INTERNAL FUNCTION(NUM) ENTRY TO RISFAL. N=NUM DEPTH = 0 DIGA = N-(N/10)*10 N = N/10 LOOP WHENEVER N.E.0, FUNCTION RETURN DEPTH.E.0 DIGB = DIGA DIGA = N-(N/10)*10 N = N/10 WHENEVER DIGA.L.DIGB, DEPTH=DEPTH-1 WHENEVER DIGA.G.DIGB, DEPTH=DEPTH+1 TRANSFER TO LOOP END OF FUNCTION   I=0 J=0 LOOP J=J+1 WHENEVER .NOT.RISFAL.(J), TRANSFER TO LOOP I=I+1 WHENEVER I.LE.200, PRINT FORMAT FMT, I, J WHENEVER I.L.10000000, TRANSFER TO LOOP PRINT FORMAT FMT, I, J   END OF PROGRAM
http://rosettacode.org/wiki/Numbers_with_equal_rises_and_falls
Numbers with equal rises and falls
When a number is written in base 10,   adjacent digits may "rise" or "fall" as the number is read   (usually from left to right). Definition Given the decimal digits of the number are written as a series   d:   A   rise   is an index   i   such that   d(i)  <  d(i+1)   A   fall    is an index   i   such that   d(i)  >  d(i+1) Examples   The number   726,169   has   3   rises and   2   falls,   so it isn't in the sequence.   The number     83,548   has   2   rises and   2   falls,   so it   is   in the sequence. Task   Print the first   200   numbers in the sequence   Show that the   10 millionth   (10,000,000th)   number in the sequence is   41,909,002 See also   OEIS Sequence  A296712   describes numbers whose digit sequence in base 10 have equal "rises" and "falls". Related tasks   Esthetic numbers
#Mathematica.2FWolfram_Language
Mathematica/Wolfram Language
ClearAll[EqualRisesAndFallsQ] EqualRisesAndFallsQ[n_Integer] := Total[Sign[Differences[IntegerDigits[n]]]] == 0 Take[Select[Range[1000], EqualRisesAndFallsQ], 200] valid = 0; Dynamic[{i, valid}] Do[ If[EqualRisesAndFallsQ[i], valid += 1; If[valid == 10^7, Print[i]; Break[]] ] , {i, 50 10^6} ]
http://rosettacode.org/wiki/Numerical_integration/Gauss-Legendre_Quadrature
Numerical integration/Gauss-Legendre Quadrature
In a general Gaussian quadrature rule, an definite integral of f ( x ) {\displaystyle f(x)} is first approximated over the interval [ − 1 , 1 ] {\displaystyle [-1,1]} by a polynomial approximable function g ( x ) {\displaystyle g(x)} and a known weighting function W ( x ) {\displaystyle W(x)} . ∫ − 1 1 f ( x ) d x = ∫ − 1 1 W ( x ) g ( x ) d x {\displaystyle \int _{-1}^{1}f(x)\,dx=\int _{-1}^{1}W(x)g(x)\,dx} Those are then approximated by a sum of function values at specified points x i {\displaystyle x_{i}} multiplied by some weights w i {\displaystyle w_{i}} : ∫ − 1 1 W ( x ) g ( x ) d x ≈ ∑ i = 1 n w i g ( x i ) {\displaystyle \int _{-1}^{1}W(x)g(x)\,dx\approx \sum _{i=1}^{n}w_{i}g(x_{i})} In the case of Gauss-Legendre quadrature, the weighting function W ( x ) = 1 {\displaystyle W(x)=1} , so we can approximate an integral of f ( x ) {\displaystyle f(x)} with: ∫ − 1 1 f ( x ) d x ≈ ∑ i = 1 n w i f ( x i ) {\displaystyle \int _{-1}^{1}f(x)\,dx\approx \sum _{i=1}^{n}w_{i}f(x_{i})} For this, we first need to calculate the nodes and the weights, but after we have them, we can reuse them for numerious integral evaluations, which greatly speeds up the calculation compared to more simple numerical integration methods. The n {\displaystyle n} evaluation points x i {\displaystyle x_{i}} for a n-point rule, also called "nodes", are roots of n-th order Legendre Polynomials P n ( x ) {\displaystyle P_{n}(x)} . Legendre polynomials are defined by the following recursive rule: P 0 ( x ) = 1 {\displaystyle P_{0}(x)=1} P 1 ( x ) = x {\displaystyle P_{1}(x)=x} n P n ( x ) = ( 2 n − 1 ) x P n − 1 ( x ) − ( n − 1 ) P n − 2 ( x ) {\displaystyle nP_{n}(x)=(2n-1)xP_{n-1}(x)-(n-1)P_{n-2}(x)} There is also a recursive equation for their derivative: P n ′ ( x ) = n x 2 − 1 ( x P n ( x ) − P n − 1 ( x ) ) {\displaystyle P_{n}'(x)={\frac {n}{x^{2}-1}}\left(xP_{n}(x)-P_{n-1}(x)\right)} The roots of those polynomials are in general not analytically solvable, so they have to be approximated numerically, for example by Newton-Raphson iteration: x n + 1 = x n − f ( x n ) f ′ ( x n ) {\displaystyle x_{n+1}=x_{n}-{\frac {f(x_{n})}{f'(x_{n})}}} The first guess x 0 {\displaystyle x_{0}} for the i {\displaystyle i} -th root of a n {\displaystyle n} -order polynomial P n {\displaystyle P_{n}} can be given by x 0 = cos ⁡ ( π i − 1 4 n + 1 2 ) {\displaystyle x_{0}=\cos \left(\pi \,{\frac {i-{\frac {1}{4}}}{n+{\frac {1}{2}}}}\right)} After we get the nodes x i {\displaystyle x_{i}} , we compute the appropriate weights by: w i = 2 ( 1 − x i 2 ) [ P n ′ ( x i ) ] 2 {\displaystyle w_{i}={\frac {2}{\left(1-x_{i}^{2}\right)[P'_{n}(x_{i})]^{2}}}} After we have the nodes and the weights for a n-point quadrature rule, we can approximate an integral over any interval [ a , b ] {\displaystyle [a,b]} by ∫ a b f ( x ) d x ≈ b − a 2 ∑ i = 1 n w i f ( b − a 2 x i + a + b 2 ) {\displaystyle \int _{a}^{b}f(x)\,dx\approx {\frac {b-a}{2}}\sum _{i=1}^{n}w_{i}f\left({\frac {b-a}{2}}x_{i}+{\frac {a+b}{2}}\right)} Task description Similar to the task Numerical Integration, the task here is to calculate the definite integral of a function f ( x ) {\displaystyle f(x)} , but by applying an n-point Gauss-Legendre quadrature rule, as described here, for example. The input values should be an function f to integrate, the bounds of the integration interval a and b, and the number of gaussian evaluation points n. An reference implementation in Common Lisp is provided for comparison. To demonstrate the calculation, compute the weights and nodes for an 5-point quadrature rule and then use them to compute: ∫ − 3 3 exp ⁡ ( x ) d x ≈ ∑ i = 1 5 w i exp ⁡ ( x i ) ≈ 20.036 {\displaystyle \int _{-3}^{3}\exp(x)\,dx\approx \sum _{i=1}^{5}w_{i}\;\exp(x_{i})\approx 20.036}
#JavaScript
JavaScript
  const factorial = n => n <= 1 ? 1 : n * factorial(n - 1); const M = n => (n - (n % 2 !== 0)) / 2; const gaussLegendre = (fn, a, b, n) => { // coefficients of the Legendre polynomial const coef = [...Array(M(n) + 1)].map((v, m) => v = (-1) ** m * factorial(2 * n - 2 * m) / (2 ** n * factorial(m) * factorial(n - m) * factorial(n - 2 * m))); // the polynomial function const f = x => coef.map((v, i) => v * x ** (n - 2 * i)).reduce((sum, item) => sum + item, 0); const terms = coef.length - (n % 2 === 0); // coefficients of the derivative polybomial const dcoef = [...Array(terms)].map((v, i) => v = n - 2 * i).map((val, i) => val * coef[i]); // the derivative polynomial function const df = x => dcoef.map((v, i) => v * x ** (n - 1 - 2 * i)).reduce((sum, item) => sum + item, 0); const guess = [...Array(n)].map((v, i) => Math.cos(Math.PI * (i + 1 - 1 / 4) / (n + 1 / 2))); // Newton Raphson const roots = guess.map(xo => [...Array(100)].reduce(x => x - f(x) / df(x), xo)); const weights = roots.map(v => 2 / ((1 - v ** 2) * df(v) ** 2)); return (b - a) / 2 * weights.map((v, i) => v * fn((b - a) * roots[i] / 2 + (a + b) / 2)).reduce((sum, item) => sum + item, 0); } console.log(gaussLegendre(x => Math.exp(x), -3, 3, 5));  
http://rosettacode.org/wiki/Object_serialization
Object serialization
Create a set of data types based upon inheritance. Each data type or class should have a print command that displays the contents of an instance of that class to standard output. Create instances of each class in your inheritance hierarchy and display them to standard output. Write each of the objects to a file named objects.dat in binary form using serialization or marshalling. Read the file objects.dat and print the contents of each serialized object.
#Oz
Oz
{ package Greeting; sub new { my $v = "Hello world!\n"; bless \$v, shift; }; sub stringify { ${shift()}; }; }; { package Son::of::Greeting; use base qw(Greeting); # inherit methods sub new { # overwrite method of super class my $v = "Hello world from Junior!\n"; bless \$v, shift; }; }; { use Storable qw(store retrieve); package main; my $g1 = Greeting->new; my $s1 = Son::of::Greeting->new; print $g1->stringify; print $s1->stringify;   store $g1, 'objects.dat'; my $g2 = retrieve 'objects.dat';   store $s1, 'objects.dat'; my $s2 = retrieve 'objects.dat';   print $g2->stringify; print $s2->stringify; };
http://rosettacode.org/wiki/Object_serialization
Object serialization
Create a set of data types based upon inheritance. Each data type or class should have a print command that displays the contents of an instance of that class to standard output. Create instances of each class in your inheritance hierarchy and display them to standard output. Write each of the objects to a file named objects.dat in binary form using serialization or marshalling. Read the file objects.dat and print the contents of each serialized object.
#Perl
Perl
{ package Greeting; sub new { my $v = "Hello world!\n"; bless \$v, shift; }; sub stringify { ${shift()}; }; }; { package Son::of::Greeting; use base qw(Greeting); # inherit methods sub new { # overwrite method of super class my $v = "Hello world from Junior!\n"; bless \$v, shift; }; }; { use Storable qw(store retrieve); package main; my $g1 = Greeting->new; my $s1 = Son::of::Greeting->new; print $g1->stringify; print $s1->stringify;   store $g1, 'objects.dat'; my $g2 = retrieve 'objects.dat';   store $s1, 'objects.dat'; my $s2 = retrieve 'objects.dat';   print $g2->stringify; print $s2->stringify; };
http://rosettacode.org/wiki/Old_lady_swallowed_a_fly
Old lady swallowed a fly
Task Present a program which emits the lyrics to the song   I Knew an Old Lady Who Swallowed a Fly,   taking advantage of the repetitive structure of the song's lyrics. This song has multiple versions with slightly different lyrics, so all these programs might not emit identical output. 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
#Draco
Draco
proc nonrec animal(byte n) *char: case n incase 0: "fly" incase 1: "spider" incase 2: "bird" incase 3: "cat" incase 4: "dog" incase 5: "goat" incase 6: "cow" incase 7: "horse" esac corp   proc nonrec line(byte n) *char: case n incase 0: "I don't know why she swallowed that fly,\r\n" "Perhaps she'll die.\r\n" incase 1: "That wiggled and jiggled and tickled inside her," incase 2: "How absurd to swallow a bird," incase 3: "Imagined that, she swallowed a cat," incase 4: "What a hog to swallow a dog," incase 5: "She just opened her throat and swallowed that goat," incase 6: "I don't know how she swallowed that cow," incase 7: "She's dead, of course." esac corp   proc nonrec verse(byte n) void: byte a; writeln("There was an old lady who swallowed a ", animal(n), ", "); writeln(line(n));   if n/=7 then for a from n downto 1 do writeln("She swallowed the ", animal(a), " to catch the ", animal(a-1), ", "); if a <= 2 then writeln(line(a-1)) fi od fi corp   proc nonrec main() void: byte n; for n from 0 upto 7 do verse(n) od corp
http://rosettacode.org/wiki/Old_lady_swallowed_a_fly
Old lady swallowed a fly
Task Present a program which emits the lyrics to the song   I Knew an Old Lady Who Swallowed a Fly,   taking advantage of the repetitive structure of the song's lyrics. This song has multiple versions with slightly different lyrics, so all these programs might not emit identical output. 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 extensions;   const Creatures = new string[]{"fly", "spider", "bird", "cat", "dog", "goat", "cow", "horse"}; const Comments = new string[] { "I don't know why she swallowed that fly"$10"Perhaps she'll die", "That wiggled and jiggled and tickled inside her", "How absurd, to swallow a bird", "Imagine that. She swallowed a cat", "What a hog to swallow a dog", "She just opened her throat and swallowed that goat", "I don't know how she swallowed that cow", "She's dead of course" };   public program() { for(int i := 0, i < Creatures.Length, i += 1) { console .printLineFormatted("There was an old lady who swallowed a {0}",Creatures[i]) .printLine(Comments[i]);   if(i != 0 && i != Creatures.Length - 1) { for(int j := i, j > 0, j -= 1) { console.printLineFormatted("She swallowed the {0} to catch the {1}",Creatures[j],Creatures[j - 1]) };   console.writeLine(Comments[0]) };   console.writeLine() } }
http://rosettacode.org/wiki/Old_Russian_measure_of_length
Old Russian measure of length
Task Write a program to perform a conversion of the old Russian measures of length to the metric system   (and vice versa). It is an example of a linear transformation of several variables. The program should accept a single value in a selected unit of measurement, and convert and return it to the other units: vershoks, arshins, sazhens, versts, meters, centimeters and kilometers. Also see   Old Russian measure of length
#Ring
Ring
  # Project : Old Russian measure of length   decimals(7) units = ["tochka", "liniya", "dyuim", "vershok", "piad", "fut", "arshin", "sazhen", "versta", "milia", "centimeter", "meter", "kilometer"]   convs = [0.0254, 0.254, 2.54, 4.445, 17.78, 30.48, 71.12, 213.36, 10668, 74676, 1, 100, 10000]   yn = "y" unit = 1 p = 1 while yn != "n" for i = 1 to 13 see "" + i + " " + units[i] + nl next see nl see "please choose a unit 1 to 13 : " give unit see nl see "now enter a value in that unit : " give value see nl see "the equivalent in the remaining units is : " see nl for i = 1 to 13 if i = unit loop ok see "" + units[i] + " : " + (value * convs[number(unit)] / convs[i]) + nl next see nl while yn = "y" or yn = "n" see "do another one y/n : " give yn yn = lower(yn) end end  
http://rosettacode.org/wiki/Old_Russian_measure_of_length
Old Russian measure of length
Task Write a program to perform a conversion of the old Russian measures of length to the metric system   (and vice versa). It is an example of a linear transformation of several variables. The program should accept a single value in a selected unit of measurement, and convert and return it to the other units: vershoks, arshins, sazhens, versts, meters, centimeters and kilometers. Also see   Old Russian measure of length
#Ruby
Ruby
module Distances   RATIOS = {arshin: 0.7112, centimeter: 0.01, diuym: 0.0254, fut: 0.3048, kilometer: 1000.0, liniya: 0.00254, meter: 1.0, milia: 7467.6, piad: 0.1778, sazhen: 2.1336, tochka: 0.000254, vershok: 0.04445, versta: 1066.8}   def self.method_missing(meth, arg) from, to = meth.to_s.split("2").map(&:to_sym) raise NoMethodError, meth if ([from,to]-RATIOS.keys).size > 0 RATIOS[from] * arg / RATIOS[to] end   def self.print_others(name, num) puts "#{num} #{name} =" RATIOS.except(name.to_sym).each {|k,v| puts "#{ (1.0 / v*num)} #{k}" } end end   Distances.print_others("meter", 2) puts p Distances.meter2centimeter(3) p Distances.arshin2meter(1) p Distances.versta2kilometer(20) # en Hoeperdepoep zat op de stoep # 13*13 = 169 methods supported, but not: p Distances.mile2piad(1)  
http://rosettacode.org/wiki/OpenGL
OpenGL
Task Display a smooth shaded triangle with OpenGL. Triangle created using C example compiled with GCC 4.1.2 and freeglut3.
#OxygenBasic
OxygenBasic
  title="Rotating Triangle" include "OpenglSceneFrame.inc"     sub Initialize(sys hWnd) '======================= SetTimer hWnd,1,10,NULL end sub ' sub Scene(sys hWnd) '================== ' static single ang1,angi1=1 ' glClearColor 0.3, 0.3, 0.5, 0 glClear GL_COLOR_BUFFER_BIT or GL_DEPTH_BUFFER_BIT ' glLoadIdentity ' ' gltranslatef 0.0, 0.0, -4.0 glrotatef ang1, 0.0, 0.0, 1.0 ' glBegin GL_TRIANGLES glColor3f 1.0, 0.0, 0.0 : glVertex3f 0.0, 1.0, 0.0 glColor3f 0.0, 1.0, 0.0 : glVertex3f -1.0, -1.0, 0.0 glColor3f 0.0, 0.0, 1.0 : glVertex3f 1.0, -1.0, 0.0 glEnd ' 'UPDATE ROTATION ANGLES ' ang1+=angi1 if ang1>360 then ang1-=360 ' end sub     sub Release(sys hwnd) '==================== killTimer hwnd, 1 end sub    
http://rosettacode.org/wiki/OpenGL
OpenGL
Task Display a smooth shaded triangle with OpenGL. Triangle created using C example compiled with GCC 4.1.2 and freeglut3.
#Pascal
Pascal
Program OpenGLDemo;   uses SysUtils, ctypes, gl, Glut;   procedure paint; cdecl; begin glClearColor(0.3,0.3,0.3,0.0); glClear(GL_COLOR_BUFFER_BIT or GL_DEPTH_BUFFER_BIT);   glShadeModel(GL_SMOOTH);   glLoadIdentity(); glTranslatef(-15.0, -15.0, 0.0);   glBegin(GL_TRIANGLES); glColor3f(1.0, 0.0, 0.0); glVertex2f(0.0, 0.0); glColor3f(0.0, 1.0, 0.0); glVertex2f(30.0, 0.0); glColor3f(0.0, 0.0, 1.0); glVertex2f(0.0, 30.0); glEnd();   glFlush(); end;   procedure reshape(width, height: cint); cdecl; begin glViewport(0, 0, width, height); glMatrixMode(GL_PROJECTION); glLoadIdentity(); glOrtho(-30.0, 30.0, -30.0, 30.0, -30.0, 30.0); glMatrixMode(GL_MODELVIEW); end;   begin glutInit(@argc, @argv); glutInitWindowSize(640, 480); glutCreateWindow('Triangle');   glutDisplayFunc(@paint); glutReshapeFunc(@reshape);   glutMainLoop(); end.    
http://rosettacode.org/wiki/One_of_n_lines_in_a_file
One of n lines in a file
A method of choosing a line randomly from a file: Without reading the file more than once When substantial parts of the file cannot be held in memory Without knowing how many lines are in the file Is to: keep the first line of the file as a possible choice, then Read the second line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/2. Read the third line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/3. ... Read the Nth line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/N Return the computed possible choice when no further lines exist in the file. Task Create a function/method/routine called one_of_n that given n, the number of actual lines in a file, follows the algorithm above to return an integer - the line number of the line chosen from the file. The number returned can vary, randomly, in each run. Use one_of_n in a simulation to find what woud be the chosen line of a 10 line file simulated 1,000,000 times. Print and show how many times each of the 10 lines is chosen as a rough measure of how well the algorithm works. Note: You may choose a smaller number of repetitions if necessary, but mention this up-front. Note: This is a specific version of a Reservoir Sampling algorithm: https://en.wikipedia.org/wiki/Reservoir_sampling
#jq
jq
  export LC_ALL=C < /dev/random tr -cd '0-9' | fold -w 4 | jq -Mnr -f program.jq  
http://rosettacode.org/wiki/One_of_n_lines_in_a_file
One of n lines in a file
A method of choosing a line randomly from a file: Without reading the file more than once When substantial parts of the file cannot be held in memory Without knowing how many lines are in the file Is to: keep the first line of the file as a possible choice, then Read the second line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/2. Read the third line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/3. ... Read the Nth line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/N Return the computed possible choice when no further lines exist in the file. Task Create a function/method/routine called one_of_n that given n, the number of actual lines in a file, follows the algorithm above to return an integer - the line number of the line chosen from the file. The number returned can vary, randomly, in each run. Use one_of_n in a simulation to find what woud be the chosen line of a 10 line file simulated 1,000,000 times. Print and show how many times each of the 10 lines is chosen as a rough measure of how well the algorithm works. Note: You may choose a smaller number of repetitions if necessary, but mention this up-front. Note: This is a specific version of a Reservoir Sampling algorithm: https://en.wikipedia.org/wiki/Reservoir_sampling
#Julia
Julia
  const N = 10 const GOAL = 10^6   function oneofn{T<:Integer}(n::T) 0 < n || error("n = ", n, ", but it should be positive.") oon = 1 for i in 2:n rand(1:i) == 1 || continue oon = i end return oon end   nhist = zeros(Int, N) for i in 1:GOAL nhist[oneofn(N)] += 1 end   println("Simulating oneofn(", N, ") ", GOAL, " times:") for i in 1:N println(@sprintf "  %2d => %6d" i nhist[i]) end  
http://rosettacode.org/wiki/Optional_parameters
Optional parameters
Task Define a function/method/subroutine which sorts a sequence ("table") of sequences ("rows") of strings ("cells"), by one of the strings. Besides the input to be sorted, it shall have the following optional parameters: ordering A function specifying the ordering of strings; lexicographic by default. column An integer specifying which string of each row to compare; the first by default. reverse Reverses the ordering. This task should be considered to include both positional and named optional parameters, as well as overloading on argument count as in Java or selector name as in Smalltalk, or, in the extreme, using different function names. Provide these variations of sorting in whatever way is most natural to your language. If the language supports both methods naturally, you are encouraged to describe both. Do not implement a sorting algorithm; this task is about the interface. If you can't use a built-in sort routine, just omit the implementation (with a comment). See also: Named Arguments
#PicoLisp
PicoLisp
(de sortTable (Tbl . @) (let (Ordering prog Column 1 Reverse NIL) # Set defaults (bind (rest) # Bind optional params (setq Tbl (by '((L) (Ordering (get L Column))) sort Tbl ) ) (if Reverse (flip Tbl) Tbl) ) ) )
http://rosettacode.org/wiki/Optional_parameters
Optional parameters
Task Define a function/method/subroutine which sorts a sequence ("table") of sequences ("rows") of strings ("cells"), by one of the strings. Besides the input to be sorted, it shall have the following optional parameters: ordering A function specifying the ordering of strings; lexicographic by default. column An integer specifying which string of each row to compare; the first by default. reverse Reverses the ordering. This task should be considered to include both positional and named optional parameters, as well as overloading on argument count as in Java or selector name as in Smalltalk, or, in the extreme, using different function names. Provide these variations of sorting in whatever way is most natural to your language. If the language supports both methods naturally, you are encouraged to describe both. Do not implement a sorting algorithm; this task is about the interface. If you can't use a built-in sort routine, just omit the implementation (with a comment). See also: Named Arguments
#Python
Python
>>> def printtable(data): for row in data: print ' '.join('%-5s' % ('"%s"' % cell) for cell in row)     >>> import operator >>> def sorttable(table, ordering=None, column=0, reverse=False): return sorted(table, cmp=ordering, key=operator.itemgetter(column), reverse=reverse)   >>> data = [["a", "b", "c"], ["", "q", "z"], ["zap", "zip", "Zot"]] >>> printtable(data) "a" "b" "c" "" "q" "z" "zap" "zip" "Zot" >>> printtable( sorttable(data) ) "" "q" "z" "a" "b" "c" "zap" "zip" "Zot" >>> printtable( sorttable(data, column=2) ) "zap" "zip" "Zot" "a" "b" "c" "" "q" "z" >>> printtable( sorttable(data, column=1) ) "a" "b" "c" "" "q" "z" "zap" "zip" "Zot" >>> printtable( sorttable(data, column=1, reverse=True) ) "zap" "zip" "Zot" "" "q" "z" "a" "b" "c" >>> printtable( sorttable(data, ordering=lambda a,b: cmp(len(b),len(a))) ) "zap" "zip" "Zot" "a" "b" "c" "" "q" "z" >>>
http://rosettacode.org/wiki/Order_two_numerical_lists
Order two numerical lists
sorting 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 Write a function that orders two lists or arrays filled with numbers. The function should accept two lists as arguments and return true if the first list should be ordered before the second, and false otherwise. The order is determined by lexicographic order: Comparing the first element of each list. If the first elements are equal, then the second elements should be compared, and so on, until one of the list has no more elements. If the first list runs out of elements the result is true. If the second list or both run out of elements the result is false. Note: further clarification of lexicographical ordering is expounded on the talk page here and here.
#Maple
Maple
orderLists := proc(num1,num2) local len1, len2,i: len1,len2 := numelems(num1),numelems(num2): for i to min(len1,len2) do if num1[i] <> num2[i] then return evalb(num1[i]<num2[i]): end if: end do: return evalb(len1 < len2): end proc:
http://rosettacode.org/wiki/Order_two_numerical_lists
Order two numerical lists
sorting 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 Write a function that orders two lists or arrays filled with numbers. The function should accept two lists as arguments and return true if the first list should be ordered before the second, and false otherwise. The order is determined by lexicographic order: Comparing the first element of each list. If the first elements are equal, then the second elements should be compared, and so on, until one of the list has no more elements. If the first list runs out of elements the result is true. If the second list or both run out of elements the result is false. Note: further clarification of lexicographical ordering is expounded on the talk page here and here.
#Mathematica.2FWolfram_Language
Mathematica/Wolfram Language
order[List1_, List2_] := With[{ L1 = List1[[1 ;; Min @@ Length /@ {List1, List2}]], L2 = List2[[1 ;; Min @@ Length /@ {List1, List2}]] }, If [Thread[Order[L1, L2]] == 0, Length[List1] < Length[List2], Thread[Order[L1, L2]] == 1 ]]
http://rosettacode.org/wiki/Ordered_words
Ordered words
An   ordered word   is a word in which the letters appear in alphabetic order. Examples include   abbey   and   dirt. Task[edit] Find and display all the ordered words in the dictionary   unixdict.txt   that have the longest word length. (Examples that access the dictionary file locally assume that you have downloaded this file yourself.) The display needs to be shown on this page. Related tasks Word plays Ordered words Palindrome detection Semordnilap Anagrams Anagrams/Deranged anagrams 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
#Lang5
Lang5
: >string-index "" split "&'0123456789abcdefghijklmnopqrstuvwxyz" "" split swap index collapse ; : chars "" split length swap drop ; : cr "\n" . ; : nip swap drop ; : ordered? dup grade subscript != '+ reduce if 0 else -1 then ;   : filtering [] '_ set 0 do read 2dup chars <= if dup >string-index ordered? if 2dup chars < if nip dup chars swap [] '_ set then _ swap append '_ set '. . # progress dot else drop then else drop then eof if break then loop   cr _ . cr  ;   : ordered-words '< 'unixdict.txt open 'fh set fh fin filtering fh close ;   ordered-words
http://rosettacode.org/wiki/Ordered_words
Ordered words
An   ordered word   is a word in which the letters appear in alphabetic order. Examples include   abbey   and   dirt. Task[edit] Find and display all the ordered words in the dictionary   unixdict.txt   that have the longest word length. (Examples that access the dictionary file locally assume that you have downloaded this file yourself.) The display needs to be shown on this page. Related tasks Word plays Ordered words Palindrome detection Semordnilap Anagrams Anagrams/Deranged anagrams 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
#Lasso
Lasso
local(f = file('unixdict.txt'), words = array, ordered = array, maxleng = 0) #f->dowithclose => { #f->foreachLine => { #words->insert(#1) } } with w in #words do => { local(tosort = #w->asString->values) #tosort->sort if(#w->asString == #tosort->join('')) => { #ordered->insert(#w->asString) #w->asString->size > #maxleng ? #maxleng = #w->asString->size } } with w in #ordered where #w->size == #maxleng do => {^ #w + '\r' ^}
http://rosettacode.org/wiki/Palindrome_detection
Palindrome detection
A palindrome is a phrase which reads the same backward and forward. Task[edit] Write a function or program that checks whether a given sequence of characters (or, if you prefer, bytes) is a palindrome. For extra credit: Support Unicode characters. Write a second function (possibly as a wrapper to the first) which detects inexact palindromes, i.e. phrases that are palindromes if white-space and punctuation is ignored and case-insensitive comparison is used. Hints It might be useful for this task to know how to reverse a string. This task's entries might also form the subjects of the task Test a function. Related tasks Word plays Ordered words Palindrome detection Semordnilap Anagrams Anagrams/Deranged anagrams 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 Test-Palindrome( [String] $Text ){ $CharArray = $Text.ToCharArray() [Array]::Reverse($CharArray) $Text -eq [string]::join('', $CharArray) }  
http://rosettacode.org/wiki/Numeric_error_propagation
Numeric error propagation
If   f,   a,   and   b   are values with uncertainties   σf,   σa,   and   σb,   and   c   is a constant; then if   f   is derived from   a,   b,   and   c   in the following ways, then   σf   can be calculated as follows: Addition/Subtraction If   f = a ± c,   or   f = c ± a   then   σf = σa If   f = a ± b   then   σf2 = σa2 + σb2 Multiplication/Division If   f = ca   or   f = ac       then   σf = |cσa| If   f = ab   or   f = a / b   then   σf2 = f2( (σa / a)2 + (σb / b)2) Exponentiation If   f = ac   then   σf = |fc(σa / a)| Caution: This implementation of error propagation does not address issues of dependent and independent values.   It is assumed that   a   and   b   are independent and so the formula for multiplication should not be applied to   a*a   for example.   See   the talk page   for some of the implications of this issue. Task details Add an uncertain number type to your language that can support addition, subtraction, multiplication, division, and exponentiation between numbers with an associated error term together with 'normal' floating point numbers without an associated error term. Implement enough functionality to perform the following calculations. Given coordinates and their errors: x1 = 100 ± 1.1 y1 = 50 ± 1.2 x2 = 200 ± 2.2 y2 = 100 ± 2.3 if point p1 is located at (x1, y1) and p2 is at (x2, y2); calculate the distance between the two points using the classic Pythagorean formula: d = √   (x1 - x2)²   +   (y1 - y2)²   Print and display both   d   and its error. References A Guide to Error Propagation B. Keeney, 2005. Propagation of uncertainty Wikipedia. Related task   Quaternion type
#J
J
num=: {."1 unc=: {:@}."1 : ,. dist=: +/&.:*:
http://rosettacode.org/wiki/Numeric_error_propagation
Numeric error propagation
If   f,   a,   and   b   are values with uncertainties   σf,   σa,   and   σb,   and   c   is a constant; then if   f   is derived from   a,   b,   and   c   in the following ways, then   σf   can be calculated as follows: Addition/Subtraction If   f = a ± c,   or   f = c ± a   then   σf = σa If   f = a ± b   then   σf2 = σa2 + σb2 Multiplication/Division If   f = ca   or   f = ac       then   σf = |cσa| If   f = ab   or   f = a / b   then   σf2 = f2( (σa / a)2 + (σb / b)2) Exponentiation If   f = ac   then   σf = |fc(σa / a)| Caution: This implementation of error propagation does not address issues of dependent and independent values.   It is assumed that   a   and   b   are independent and so the formula for multiplication should not be applied to   a*a   for example.   See   the talk page   for some of the implications of this issue. Task details Add an uncertain number type to your language that can support addition, subtraction, multiplication, division, and exponentiation between numbers with an associated error term together with 'normal' floating point numbers without an associated error term. Implement enough functionality to perform the following calculations. Given coordinates and their errors: x1 = 100 ± 1.1 y1 = 50 ± 1.2 x2 = 200 ± 2.2 y2 = 100 ± 2.3 if point p1 is located at (x1, y1) and p2 is at (x2, y2); calculate the distance between the two points using the classic Pythagorean formula: d = √   (x1 - x2)²   +   (y1 - y2)²   Print and display both   d   and its error. References A Guide to Error Propagation B. Keeney, 2005. Propagation of uncertainty Wikipedia. Related task   Quaternion type
#Java
Java
public class Approx { private double value; private double error;   public Approx(){this.value = this.error = 0;}   public Approx(Approx b){ this.value = b.value; this.error = b.error; }   public Approx(double value, double error){ this.value = value; this.error = error; }   public Approx add(Approx b){ value+= b.value; error = Math.sqrt(error * error + b.error * b.error); return this; }   public Approx add(double b){ value+= b; return this; }   public Approx sub(Approx b){ value-= b.value; error = Math.sqrt(error * error + b.error * b.error); return this; }   public Approx sub(double b){ value-= b; return this; }   public Approx mult(Approx b){ double oldVal = value; value*= b.value; error = Math.sqrt(value * value * (error*error) / (oldVal*oldVal) + (b.error*b.error) / (b.value*b.value)); return this; }   public Approx mult(double b){ value*= b; error = Math.abs(b * error); return this; }   public Approx div(Approx b){ double oldVal = value; value/= b.value; error = Math.sqrt(value * value * (error*error) / (oldVal*oldVal) + (b.error*b.error) / (b.value*b.value)); return this; }   public Approx div(double b){ value/= b; error = Math.abs(b * error); return this; }   public Approx pow(double b){ double oldVal = value; value = Math.pow(value, b); error = Math.abs(value * b * (error / oldVal)); return this; }   @Override public String toString(){return value+"±"+error;}   public static void main(String[] args){ Approx x1 = new Approx(100, 1.1); Approx y1 = new Approx(50, 1.2); Approx x2 = new Approx(200, 2.2); Approx y2 = new Approx(100, 2.3);   x1.sub(x2).pow(2).add(y1.sub(y2).pow(2)).pow(0.5);   System.out.println(x1); } }
http://rosettacode.org/wiki/Odd_word_problem
Odd word problem
Task Write a program that solves the odd word problem with the restrictions given below. Description You are promised an input stream consisting of English letters and punctuations. It is guaranteed that: the words (sequence of consecutive letters) are delimited by one and only one punctuation, the stream will begin with a word, the words will be at least one letter long,   and a full stop (a period, [.]) appears after, and only after, the last word. Example A stream with six words: what,is,the;meaning,of:life. The task is to reverse the letters in every other word while leaving punctuations intact, producing: what,si,the;gninaem,of:efil. while observing the following restrictions: Only I/O allowed is reading or writing one character at a time, which means: no reading in a string, no peeking ahead, no pushing characters back into the stream, and no storing characters in a global variable for later use; You are not to explicitly save characters in a collection data structure, such as arrays, strings, hash tables, etc, for later reversal; You are allowed to use recursions, closures, continuations, threads, co-routines, etc., even if their use implies the storage of multiple characters. Test cases Work on both the   "life"   example given above, and also the text: we,are;not,in,kansas;any,more.
#Icon_and_Unicon
Icon and Unicon
procedure main() every OddWord(!["what,is,the;meaning,of:life.", "we,are;not,in,kansas;any,more."]) end   procedure OddWord(stream) #: wrapper for demonstration write("Input stream: ",stream) writes("Output stream: ") & eWord(create !stream,'.,;:') & write() end   procedure eWord(stream,marks) #: handle even words repeat { repeat writes(@stream) ? if ="." then return else if any(marks) then break if writes(oWord(stream,marks)) == '.' then return } end   procedure oWord(stream,marks) #: handle odd words (reverse) if any(marks,s := @stream) then return s return 1(oWord(stream,marks), writes(s)) end
http://rosettacode.org/wiki/Number_names
Number names
Task Show how to spell out a number in English. You can use a preexisting implementation or roll your own, but you should support inputs up to at least one million (or the maximum value of your language's default bounded integer type, if that's less). Support for inputs other than positive integers (like zero, negative integers, and floating-point numbers) is optional. Related task   Spelling of ordinal numbers.
#ALGOL_68
ALGOL 68
PROC number words = (INT n)STRING:( # returns a string representation of n in words. Currently deals with anything from 0 to 999 999 999. # []STRING digits = []STRING ("zero","one","two","three","four","five","six","seven","eight","nine")[@0]; []STRING teens = []STRING ("ten","eleven","twelve","thirteen","fourteen","fifteen","sixteen","seventeen","eighteen","nineteen")[@0]; []STRING decades = []STRING ("twenty","thirty","forty","fifty","sixty","seventy","eighty","ninety")[@2];   PROC three digits = (INT n)STRING: ( # does the conversion for n from 0 to 999. # INT tens = n MOD 100 OVER 10; INT units = n MOD 10; (n >= 100|digits[n OVER 100] + " " + "hundred" + (n MOD 100 /= 0|" and "|"")|"") + (tens /= 0|(tens = 1|teens[units]|decades[tens] + (units /= 0|"-"|""))|"") + (units /= 0 AND tens /= 1 OR n = 0|digits[units]|"") ); INT m = n OVER 1 000 000; INT k = n MOD 1 000 000 OVER 1000; INT u = n MOD 1000; (m /= 0|three digits(m) + " million"|"") + (m /= 0 AND (k /= 0 OR u >= 100)|", "|"") + (k /= 0|three digits(k) + " thousand"|"") + ((m /= 0 OR k /= 0) AND u > 0 AND u < 100|" and " |: k /= 0 AND u /= 0|", "|"") + (u /= 0 OR n = 0|three digits(u)|"") );   on logical file end(stand in, (REF FILE f)BOOL: GOTO stop iteration); on value error(stand in, (REF FILE f)BOOL: GOTO stop iteration); DO # until user hits EOF # INT n; print("n? "); read((n, new line)); print((number words(n), new line)) OD; stop iteration: SKIP
http://rosettacode.org/wiki/Number_reversal_game
Number reversal game
Task Given a jumbled list of the numbers   1   to   9   that are definitely   not   in ascending order. Show the list,   and then ask the player how many digits from the left to reverse. Reverse those digits,   then ask again,   until all the digits end up in ascending order. The score is the count of the reversals needed to attain the ascending order. Note: Assume the player's input does not need extra validation. Related tasks   Sorting algorithms/Pancake sort   Pancake sorting.   Topswops
#AutoHotkey
AutoHotkey
; Submitted by MasterFocus --- http://tiny.cc/iTunis   ScrambledList := CorrectList := "1 2 3 4 5 6 7 8 9" ; Declare two identical correct sequences While ( ScrambledList = CorrectList ) Sort, ScrambledList, Random D%A_Space% ; Shuffle one of them inside a While-loop to ensure it's shuffled   Attempts := 0 While ( ScrambledList <> CorrectList ) ; Repeat until the sequence is correct { InputBox, EnteredNumber, Number Reversal Game, Attempts so far: %Attempts%`n`nCurrent sequence: %ScrambledList%`n`nHow many numbers (from the left) should be flipped?, , 400, 200 If ErrorLevel ExitApp ; Exit if user presses ESC or Cancel If EnteredNumber is not integer Continue ; Discard attempt if entered number is not an integer If ( EnteredNumber <= 1 ) Continue ; Discard attempt if entered number is <= 1 Attempts++ ; Increase the number of attempts ; Reverse the first part of the string and add the second part ; The entered number is multiplied by 2 to deal with the spaces ScrambledList := Reverse(SubStr(ScrambledList,1,(EnteredNumber*2)-1)) SubStr(ScrambledList,EnteredNumber*2) }   MsgBox, You took %Attempts% attempts to get the correct sequence. ; Final message   Return   ;-------------------   Reverse(Str) ; Auxiliar function (flips a string) { Loop, Parse, Str Out := A_LoopField Out Return Out }
http://rosettacode.org/wiki/Null_object
Null object
Null (or nil) is the computer science concept of an undefined or unbound object. Some languages have an explicit way to access the null object, and some don't. Some languages distinguish the null object from undefined values, and some don't. Task Show how to access null in your language by checking to see if an object is equivalent to the null object. This task is not about whether a variable is defined. The task is about "null"-like values in various languages, which may or may not be related to the defined-ness of variables in your language.
#Arturo
Arturo
v: null   if v=null -> print "got NULL!"
http://rosettacode.org/wiki/Null_object
Null object
Null (or nil) is the computer science concept of an undefined or unbound object. Some languages have an explicit way to access the null object, and some don't. Some languages distinguish the null object from undefined values, and some don't. Task Show how to access null in your language by checking to see if an object is equivalent to the null object. This task is not about whether a variable is defined. The task is about "null"-like values in various languages, which may or may not be related to the defined-ness of variables in your language.
#AutoHotkey
AutoHotkey
If (object == null) MsgBox, object is null
http://rosettacode.org/wiki/One-dimensional_cellular_automata
One-dimensional cellular automata
Assume an array of cells with an initial distribution of live and dead cells, and imaginary cells off the end of the array having fixed values. Cells in the next generation of the array are calculated based on the value of the cell and its left and right nearest neighbours in the current generation. If, in the following table, a live cell is represented by 1 and a dead cell by 0 then to generate the value of the cell at a particular index in the array of cellular values you use the following table: 000 -> 0 # 001 -> 0 # 010 -> 0 # Dies without enough neighbours 011 -> 1 # Needs one neighbour to survive 100 -> 0 # 101 -> 1 # Two neighbours giving birth 110 -> 1 # Needs one neighbour to survive 111 -> 0 # Starved to death.
#C.23
C#
using System; using System.Collections.Generic;   namespace prog { class MainClass { const int n_iter = 10; static int[] f = { 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0 };   public static void Main (string[] args) { for( int i=0; i<f.Length; i++ ) Console.Write( f[i]==0 ? "-" : "#" ); Console.WriteLine("");   int[] g = new int[f.Length]; for( int n=n_iter; n!=0; n-- ) { for( int i=1; i<f.Length-1; i++ ) { if ( (f[i-1] ^ f[i+1]) == 1 ) g[i] = f[i]; else if ( f[i] == 0 && (f[i-1] & f[i+1]) == 1 ) g[i] = 1; else g[i] = 0; } g[0] = ( (f[0] & f[1]) == 1 ) ? 1 : 0; g[g.Length-1] = ( (f[f.Length-1] & f[f.Length-2]) == 1 ) ? 1 : 0;   int[] tmp = f; f = g; g = tmp;   for( int i=0; i<f.Length; i++ ) Console.Write( f[i]==0 ? "-" : "#" ); Console.WriteLine(""); } } } }
http://rosettacode.org/wiki/Numerical_integration
Numerical integration
Write functions to calculate the definite integral of a function ƒ(x) using all five of the following methods: rectangular left right midpoint trapezium Simpson's composite Your functions should take in the upper and lower bounds (a and b), and the number of approximations to make in that range (n). Assume that your example already has a function that gives values for ƒ(x) . Simpson's method is defined by the following pseudo-code: Pseudocode: Simpson's method, composite procedure quad_simpson_composite(f, a, b, n) h := (b - a) / n sum1 := f(a + h/2) sum2 := 0 loop on i from 1 to (n - 1) sum1 := sum1 + f(a + h * i + h/2) sum2 := sum2 + f(a + h * i)   answer := (h / 6) * (f(a) + f(b) + 4*sum1 + 2*sum2) Demonstrate your function by showing the results for:   ƒ(x) = x3,       where   x   is     [0,1],       with           100 approximations.   The exact result is     0.25               (or 1/4)   ƒ(x) = 1/x,     where   x   is   [1,100],     with        1,000 approximations.   The exact result is     4.605170+     (natural log of 100)   ƒ(x) = x,         where   x   is   [0,5000],   with 5,000,000 approximations.   The exact result is   12,500,000   ƒ(x) = x,         where   x   is   [0,6000],   with 6,000,000 approximations.   The exact result is   18,000,000 See also   Active object for integrating a function of real time.   Special:PrefixIndex/Numerical integration for other integration methods.
#Chapel
Chapel
  proc f1(x:real):real { return x**3; }   proc f2(x:real):real { return 1/x; }   proc f3(x:real):real { return x; }   proc leftRectangleIntegration(a: real, b: real, N: int, f): real{ var h: real = (b - a)/N; var sum: real = 0.0; var x_n: real; for n in 0..N-1 { x_n = a + n * h; sum = sum + f(x_n); } return h * sum; }   proc rightRectangleIntegration(a: real, b: real, N: int, f): real{ var h: real = (b - a)/N; var sum: real = 0.0; var x_n: real; for n in 0..N-1 { x_n = a + (n + 1) * h; sum = sum + f(x_n); } return h * sum; }   proc midpointRectangleIntegration(a: real, b: real, N: int, f): real{ var h: real = (b - a)/N; var sum: real = 0.0; var x_n: real; for n in 0..N-1 { x_n = a + (n + 0.5) * h; sum = sum + f(x_n); } return h * sum; }   proc trapezoidIntegration(a: real(64), b: real(64), N: int(64), f): real{ var h: real(64) = (b - a)/N; var sum: real(64) = f(a) + f(b); var x_n: real(64); for n in 1..N-1 { x_n = a + n * h; sum = sum + 2.0 * f(x_n); } return (h/2.0) * sum; }   proc simpsonsIntegration(a: real(64), b: real(64), N: int(64), f): real{ var h: real(64) = (b - a)/N; var sum: real(64) = f(a) + f(b); var x_n: real(64); for n in 1..N-1 by 2 { x_n = a + n * h; sum = sum + 4.0 * f(x_n); } for n in 2..N-2 by 2 { x_n = a + n * h; sum = sum + 2.0 * f(x_n); } return (h/3.0) * sum; }   var exact:real; var calculated:real;   writeln("f(x) = x**3 with 100 steps from 0 to 1"); exact = 0.25; calculated = leftRectangleIntegration(a = 0.0, b = 1.0, N = 100, f = f1); writeln("leftRectangleIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); calculated = rightRectangleIntegration(a = 0.0, b = 1.0, N = 100, f = f1); writeln("rightRectangleIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); calculated = midpointRectangleIntegration(a = 0.0, b = 1.0, N = 100, f = f1); writeln("midpointRectangleIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); calculated = trapezoidIntegration(a = 0.0, b = 1.0, N = 100, f = f1); writeln("trapezoidIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); calculated = simpsonsIntegration(a = 0.0, b = 1.0, N = 100, f = f1); writeln("simpsonsIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); writeln();   writeln("f(x) = 1/x with 1000 steps from 1 to 100"); exact = 4.605170; calculated = leftRectangleIntegration(a = 1.0, b = 100.0, N = 1000, f = f2); writeln("leftRectangleIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); calculated = rightRectangleIntegration(a = 1.0, b = 100.0, N = 1000, f = f2); writeln("rightRectangleIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); calculated = midpointRectangleIntegration(a = 1.0, b = 100.0, N = 1000, f = f2); writeln("midpointRectangleIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); calculated = trapezoidIntegration(a = 1.0, b = 100.0, N = 1000, f = f2); writeln("trapezoidIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); calculated = simpsonsIntegration(a = 1.0, b = 100.0, N = 1000, f = f2); writeln("simpsonsIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); writeln();   writeln("f(x) = x with 5000000 steps from 0 to 5000"); exact = 12500000; calculated = leftRectangleIntegration(a = 0.0, b = 5000.0, N = 5000000, f = f3); writeln("leftRectangleIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); calculated = rightRectangleIntegration(a = 0.0, b = 5000.0, N = 5000000, f = f3); writeln("rightRectangleIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); calculated = midpointRectangleIntegration(a = 0.0, b = 5000.0, N = 5000000, f = f3); writeln("midpointRectangleIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); calculated = trapezoidIntegration(a = 0.0, b = 5000.0, N = 5000000, f = f3); writeln("trapezoidIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); calculated = simpsonsIntegration(a = 0.0, b = 5000.0, N = 5000000, f = f3); writeln("simpsonsIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); writeln();   writeln("f(x) = x with 6000000 steps from 0 to 6000"); exact = 18000000; calculated = leftRectangleIntegration(a = 0.0, b = 6000.0, N = 6000000, f = f3); writeln("leftRectangleIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); calculated = rightRectangleIntegration(a = 0.0, b = 6000.0, N = 6000000, f = f3); writeln("rightRectangleIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); calculated = midpointRectangleIntegration(a = 0.0, b = 6000.0, N = 6000000, f = f3); writeln("midpointRectangleIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); calculated = trapezoidIntegration(a = 0.0, b = 6000.0, N = 6000000, f = f3); writeln("trapezoidIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); calculated = simpsonsIntegration(a = 0.0, b = 6000.0, N = 6000000, f = f3); writeln("simpsonsIntegration: calculated = ", calculated, "; exact = ", exact, "; difference = ", abs(calculated - exact)); writeln();  
http://rosettacode.org/wiki/Numbers_with_equal_rises_and_falls
Numbers with equal rises and falls
When a number is written in base 10,   adjacent digits may "rise" or "fall" as the number is read   (usually from left to right). Definition Given the decimal digits of the number are written as a series   d:   A   rise   is an index   i   such that   d(i)  <  d(i+1)   A   fall    is an index   i   such that   d(i)  >  d(i+1) Examples   The number   726,169   has   3   rises and   2   falls,   so it isn't in the sequence.   The number     83,548   has   2   rises and   2   falls,   so it   is   in the sequence. Task   Print the first   200   numbers in the sequence   Show that the   10 millionth   (10,000,000th)   number in the sequence is   41,909,002 See also   OEIS Sequence  A296712   describes numbers whose digit sequence in base 10 have equal "rises" and "falls". Related tasks   Esthetic numbers
#Nim
Nim
import strutils   func insequence(n: Positive): bool = ## Return true if "n" is in the sequence. if n < 10: return true var diff = 0 var prev = n mod 10 var n = n div 10 while n != 0: let digit = n mod 10 if digit < prev: inc diff elif digit > prev: dec diff prev = digit n = n div 10 result = diff == 0   iterator a297712(): (int, int) = ## Yield the positions and the numbers of the sequence. var n = 1 var pos = 0 while true: if n.insequence: inc pos yield (pos, n) inc n   echo "First 200 numbers in the sequence:" for (pos, n) in a297712(): if pos <= 200: stdout.write ($n).align(3), if pos mod 20 == 0: '\n' else: ' ' elif pos == 10_000_000: echo "\nTen millionth number in the sequence: ", n break
http://rosettacode.org/wiki/Numbers_with_equal_rises_and_falls
Numbers with equal rises and falls
When a number is written in base 10,   adjacent digits may "rise" or "fall" as the number is read   (usually from left to right). Definition Given the decimal digits of the number are written as a series   d:   A   rise   is an index   i   such that   d(i)  <  d(i+1)   A   fall    is an index   i   such that   d(i)  >  d(i+1) Examples   The number   726,169   has   3   rises and   2   falls,   so it isn't in the sequence.   The number     83,548   has   2   rises and   2   falls,   so it   is   in the sequence. Task   Print the first   200   numbers in the sequence   Show that the   10 millionth   (10,000,000th)   number in the sequence is   41,909,002 See also   OEIS Sequence  A296712   describes numbers whose digit sequence in base 10 have equal "rises" and "falls". Related tasks   Esthetic numbers
#Perl
Perl
#!/usr/bin/perl   use strict; use warnings;   sub rf { local $_ = shift; my $sum = 0; $sum += $1 <=> $2 while /(.)(?=(.))/g; $sum }   my $count = 0; my $n = 0; my @numbers; while( $count < 200 ) { rf(++$n) or $count++, push @numbers, $n; } print "first 200: @numbers\n" =~ s/.{1,70}\K\s/\n/gr;   $count = 0; $n = 0; while( $count < 10e6 ) { rf(++$n) or $count++; } print "\n10,000,000th number: $n\n";
http://rosettacode.org/wiki/Numerical_integration/Gauss-Legendre_Quadrature
Numerical integration/Gauss-Legendre Quadrature
In a general Gaussian quadrature rule, an definite integral of f ( x ) {\displaystyle f(x)} is first approximated over the interval [ − 1 , 1 ] {\displaystyle [-1,1]} by a polynomial approximable function g ( x ) {\displaystyle g(x)} and a known weighting function W ( x ) {\displaystyle W(x)} . ∫ − 1 1 f ( x ) d x = ∫ − 1 1 W ( x ) g ( x ) d x {\displaystyle \int _{-1}^{1}f(x)\,dx=\int _{-1}^{1}W(x)g(x)\,dx} Those are then approximated by a sum of function values at specified points x i {\displaystyle x_{i}} multiplied by some weights w i {\displaystyle w_{i}} : ∫ − 1 1 W ( x ) g ( x ) d x ≈ ∑ i = 1 n w i g ( x i ) {\displaystyle \int _{-1}^{1}W(x)g(x)\,dx\approx \sum _{i=1}^{n}w_{i}g(x_{i})} In the case of Gauss-Legendre quadrature, the weighting function W ( x ) = 1 {\displaystyle W(x)=1} , so we can approximate an integral of f ( x ) {\displaystyle f(x)} with: ∫ − 1 1 f ( x ) d x ≈ ∑ i = 1 n w i f ( x i ) {\displaystyle \int _{-1}^{1}f(x)\,dx\approx \sum _{i=1}^{n}w_{i}f(x_{i})} For this, we first need to calculate the nodes and the weights, but after we have them, we can reuse them for numerious integral evaluations, which greatly speeds up the calculation compared to more simple numerical integration methods. The n {\displaystyle n} evaluation points x i {\displaystyle x_{i}} for a n-point rule, also called "nodes", are roots of n-th order Legendre Polynomials P n ( x ) {\displaystyle P_{n}(x)} . Legendre polynomials are defined by the following recursive rule: P 0 ( x ) = 1 {\displaystyle P_{0}(x)=1} P 1 ( x ) = x {\displaystyle P_{1}(x)=x} n P n ( x ) = ( 2 n − 1 ) x P n − 1 ( x ) − ( n − 1 ) P n − 2 ( x ) {\displaystyle nP_{n}(x)=(2n-1)xP_{n-1}(x)-(n-1)P_{n-2}(x)} There is also a recursive equation for their derivative: P n ′ ( x ) = n x 2 − 1 ( x P n ( x ) − P n − 1 ( x ) ) {\displaystyle P_{n}'(x)={\frac {n}{x^{2}-1}}\left(xP_{n}(x)-P_{n-1}(x)\right)} The roots of those polynomials are in general not analytically solvable, so they have to be approximated numerically, for example by Newton-Raphson iteration: x n + 1 = x n − f ( x n ) f ′ ( x n ) {\displaystyle x_{n+1}=x_{n}-{\frac {f(x_{n})}{f'(x_{n})}}} The first guess x 0 {\displaystyle x_{0}} for the i {\displaystyle i} -th root of a n {\displaystyle n} -order polynomial P n {\displaystyle P_{n}} can be given by x 0 = cos ⁡ ( π i − 1 4 n + 1 2 ) {\displaystyle x_{0}=\cos \left(\pi \,{\frac {i-{\frac {1}{4}}}{n+{\frac {1}{2}}}}\right)} After we get the nodes x i {\displaystyle x_{i}} , we compute the appropriate weights by: w i = 2 ( 1 − x i 2 ) [ P n ′ ( x i ) ] 2 {\displaystyle w_{i}={\frac {2}{\left(1-x_{i}^{2}\right)[P'_{n}(x_{i})]^{2}}}} After we have the nodes and the weights for a n-point quadrature rule, we can approximate an integral over any interval [ a , b ] {\displaystyle [a,b]} by ∫ a b f ( x ) d x ≈ b − a 2 ∑ i = 1 n w i f ( b − a 2 x i + a + b 2 ) {\displaystyle \int _{a}^{b}f(x)\,dx\approx {\frac {b-a}{2}}\sum _{i=1}^{n}w_{i}f\left({\frac {b-a}{2}}x_{i}+{\frac {a+b}{2}}\right)} Task description Similar to the task Numerical Integration, the task here is to calculate the definite integral of a function f ( x ) {\displaystyle f(x)} , but by applying an n-point Gauss-Legendre quadrature rule, as described here, for example. The input values should be an function f to integrate, the bounds of the integration interval a and b, and the number of gaussian evaluation points n. An reference implementation in Common Lisp is provided for comparison. To demonstrate the calculation, compute the weights and nodes for an 5-point quadrature rule and then use them to compute: ∫ − 3 3 exp ⁡ ( x ) d x ≈ ∑ i = 1 5 w i exp ⁡ ( x i ) ≈ 20.036 {\displaystyle \int _{-3}^{3}\exp(x)\,dx\approx \sum _{i=1}^{5}w_{i}\;\exp(x_{i})\approx 20.036}
#Julia
Julia
using LinearAlgebra   function gauss(a, b, N) λ, Q = eigen(SymTridiagonal(zeros(N), [n / sqrt(4n^2 - 1) for n = 1:N-1])) @. (λ + 1) * (b - a) / 2 + a, [2Q[1, i]^2 for i = 1:N] * (b - a) / 2 end
http://rosettacode.org/wiki/Object_serialization
Object serialization
Create a set of data types based upon inheritance. Each data type or class should have a print command that displays the contents of an instance of that class to standard output. Create instances of each class in your inheritance hierarchy and display them to standard output. Write each of the objects to a file named objects.dat in binary form using serialization or marshalling. Read the file objects.dat and print the contents of each serialized object.
#Phix
Phix
include "builtins/serialize.e" function randobj() -- test function (generate some random garbage) object res if rand(10)<=3 then -- make sequence[1..3] res = {} for i=1 to rand(3) do res = append(res,randobj()) end for elsif rand(10)<=3 then -- make string res = repeat('A'+rand(10),rand(10)) else res = rand(10)/2 -- half int/half float end if return res end function object o1 = randobj(), o2 = randobj(), o3 = randobj() pp({o1,o2,o3},{pp_Nest,1}) integer fh = open("objects.dat", "wb") puts(fh, serialize(o1)) puts(fh, serialize(o2)) puts(fh, serialize(o3)) close(fh) ?"===" fh = open("objects.dat", "rb") ?deserialize(fh) ?deserialize(fh) ?deserialize(fh) close(fh) {} = delete_file("objects.dat")
http://rosettacode.org/wiki/Old_lady_swallowed_a_fly
Old lady swallowed a fly
Task Present a program which emits the lyrics to the song   I Knew an Old Lady Who Swallowed a Fly,   taking advantage of the repetitive structure of the song's lyrics. This song has multiple versions with slightly different lyrics, so all these programs might not emit identical output. 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
defmodule Old_lady do @descriptions [ fly: "I don't know why S", spider: "That wriggled and jiggled and tickled inside her.", bird: "Quite absurd T", cat: "Fancy that, S", dog: "What a hog, S", goat: "She opened her throat T", cow: "I don't know how S", horse: "She's dead, of course.", ]   def swallowed do {descriptions, animals} = setup(@descriptions) Enum.each(Enum.with_index(animals), fn {animal, idx} -> IO.puts "There was an old lady who swallowed a #{animal}." IO.puts descriptions[animal] if animal == :horse, do: exit(:normal) if idx > 0 do Enum.each(idx..1, fn i -> IO.puts "She swallowed the #{Enum.at(animals,i)} to catch the #{Enum.at(animals,i-1)}." case Enum.at(animals,i-1) do  :spider -> IO.puts descriptions[:spider]  :fly -> IO.puts descriptions[:fly] _ -> :ok end end) end IO.puts "Perhaps she'll die.\n" end) end   def setup(descriptions) do animals = Keyword.keys(descriptions) descs = Enum.reduce(animals, descriptions, fn animal, acc -> Keyword.update!(acc, animal, fn d -> case String.last(d) do "S" -> String.replace(d, ~r/S$/, "she swallowed a #{animal}.") "T" -> String.replace(d, ~r/T$/, "to swallow a #{animal}.") _ -> d end end) end) {descs, animals} end end   Old_lady.swallowed
http://rosettacode.org/wiki/Old_lady_swallowed_a_fly
Old lady swallowed a fly
Task Present a program which emits the lyrics to the song   I Knew an Old Lady Who Swallowed a Fly,   taking advantage of the repetitive structure of the song's lyrics. This song has multiple versions with slightly different lyrics, so all these programs might not emit identical output. 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
#Factor
Factor
USING: base85 compression.zlib ;   "c%1E4%WlIU5WMphn^P`UexSD=s^-?Jk$NVE7-Gs=fQ9_`T}Y~ggi4hvMSb{SX}vpQXJ;^Yqok7%xd(0 mjR3>N1W_UQ$c@1$1#sAzsbTkHfHerT%K*K_NT><Cl4r<3ZyEa}o#KN}<)twov|KQ@`BE=GXdzugXdWO s-E}7At$_Vm9CX{KSX)nUpq1~~%N3WyS`ZLg9$IzcccWRh+KGlek2*-;TR+lUB6EZs0X5<&U()_dvQXE CJ#gDjv>e5yCRDAFrgX{pAnt$DPGHxt*E9$RMRBPeRcoXvT{6xN%o=~9@t{fLM`G}XV^A6Hk!HSBn{YM ylrFhv&t_M?=}Lzm^6W<+00(I)uM#EY@ah;z@Y)zDUk;J&o^8C<;g7LlMIS{^*(al_mjFQv=BG_DyZn <}rUt#FCDtKB9S`Y4jg+0PuB?Qt-&(11p?caq^S=1C`$D1fa<y6|YD*77a{4949T_-MVet;6abaEn"   base85> 3215 <compressed> uncompress >string print
http://rosettacode.org/wiki/Old_Russian_measure_of_length
Old Russian measure of length
Task Write a program to perform a conversion of the old Russian measures of length to the metric system   (and vice versa). It is an example of a linear transformation of several variables. The program should accept a single value in a selected unit of measurement, and convert and return it to the other units: vershoks, arshins, sazhens, versts, meters, centimeters and kilometers. Also see   Old Russian measure of length
#Rust
Rust
use std::env; use std::process; use std::collections::HashMap;   fn main() {   let units: HashMap<&str, f32> = [("arshin",0.7112),("centimeter",0.01),("diuym",0.0254),("fut",0.3048),("kilometer",1000.0),("liniya",0.00254),("meter",1.0),("milia",7467.6),("piad",0.1778),("sazhen",2.1336),("tochka",0.000254),("vershok",0.04445),("versta",1066.8)].iter().cloned().collect();   let args: Vec<String> = env::args().collect(); if args.len() < 3 { eprintln!("A correct use is oldrus [amount] [unit]."); process::exit(1); };   let length_float; length_float = match args[1].parse::<f32>() { Ok(length_float) => length_float, Err(..) => 1 as f32, };   let unit: &str = &args[2]; if ! units.contains_key(unit) { let mut keys: Vec<&str> = Vec::new(); for i in units.keys() { keys.push(i) }; eprintln!("The correct units are: {}.", keys.join(", ")); process::exit(1); };   println!("{} {} to:", length_float, unit); for (lunit, length) in &units { println!(" {}: {:?}", lunit, length_float * units.get(unit).unwrap() / length); };     }  
http://rosettacode.org/wiki/Old_Russian_measure_of_length
Old Russian measure of length
Task Write a program to perform a conversion of the old Russian measures of length to the metric system   (and vice versa). It is an example of a linear transformation of several variables. The program should accept a single value in a selected unit of measurement, and convert and return it to the other units: vershoks, arshins, sazhens, versts, meters, centimeters and kilometers. Also see   Old Russian measure of length
#Scala
Scala
import scala.collection.immutable.HashMap   object OldRussianLengths extends App {   private def measures = HashMap("tochka" -> 0.000254, "liniya"-> 0.000254, "centimeter"-> 0.01, "diuym"-> 0.0254, "vershok"-> 0.04445, "piad" -> 0.1778, "fut" -> 0.3048, "arshin"-> 0.7112, "meter" -> 1.0, "sazhen"-> 2.1336, "kilometer" -> 1000.0, "versta"-> 1066.8, "milia" -> 7467.6 ).withDefaultValue(Double.NaN)   if (args.length == 2 && args(0).matches("[+-]?\\d*(\\.\\d+)?")) { val inputVal = measures(args(1))   def meters = args(0).toDouble * inputVal   if (!java.lang.Double.isNaN(inputVal)) { printf("%s %s to: %n%n", args(0), args(1)) for (k <- measures) println(f"${k._1}%10s: ${meters / k._2}%g") } } else println("Please provide a number and unit on the command line.")   }
http://rosettacode.org/wiki/OpenGL
OpenGL
Task Display a smooth shaded triangle with OpenGL. Triangle created using C example compiled with GCC 4.1.2 and freeglut3.
#Perl
Perl
use OpenGL;   sub triangle { glBegin GL_TRIANGLES; glColor3f 1.0, 0.0, 0.0; glVertex2f 5.0, 5.0; glColor3f 0.0, 1.0, 0.0; glVertex2f 25.0, 5.0; glColor3f 0.0, 0.0, 1.0; glVertex2f 5.0, 25.0; glEnd; };   glpOpenWindow; glMatrixMode GL_PROJECTION; glLoadIdentity; gluOrtho2D 0.0, 30.0, 0.0, 30.0; glMatrixMode GL_MODELVIEW;   glClear GL_COLOR_BUFFER_BIT; triangle; glpFlush;   glpMainLoop;
http://rosettacode.org/wiki/One_of_n_lines_in_a_file
One of n lines in a file
A method of choosing a line randomly from a file: Without reading the file more than once When substantial parts of the file cannot be held in memory Without knowing how many lines are in the file Is to: keep the first line of the file as a possible choice, then Read the second line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/2. Read the third line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/3. ... Read the Nth line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/N Return the computed possible choice when no further lines exist in the file. Task Create a function/method/routine called one_of_n that given n, the number of actual lines in a file, follows the algorithm above to return an integer - the line number of the line chosen from the file. The number returned can vary, randomly, in each run. Use one_of_n in a simulation to find what woud be the chosen line of a 10 line file simulated 1,000,000 times. Print and show how many times each of the 10 lines is chosen as a rough measure of how well the algorithm works. Note: You may choose a smaller number of repetitions if necessary, but mention this up-front. Note: This is a specific version of a Reservoir Sampling algorithm: https://en.wikipedia.org/wiki/Reservoir_sampling
#Kotlin
Kotlin
// version 1.1.51   import java.util.Random   val r = Random()   fun oneOfN(n: Int): Int { var choice = 1 for (i in 2..n) { if (r.nextDouble() < 1.0 / i) choice = i } return choice }   fun main(args: Array<String>) { val n = 10 val freqs = IntArray(n) val reps = 1_000_000 repeat(reps) { val num = oneOfN(n) freqs[num - 1]++ } for (i in 1..n) println("Line ${"%-2d".format(i)} = ${freqs[i - 1]}") }
http://rosettacode.org/wiki/One_of_n_lines_in_a_file
One of n lines in a file
A method of choosing a line randomly from a file: Without reading the file more than once When substantial parts of the file cannot be held in memory Without knowing how many lines are in the file Is to: keep the first line of the file as a possible choice, then Read the second line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/2. Read the third line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/3. ... Read the Nth line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/N Return the computed possible choice when no further lines exist in the file. Task Create a function/method/routine called one_of_n that given n, the number of actual lines in a file, follows the algorithm above to return an integer - the line number of the line chosen from the file. The number returned can vary, randomly, in each run. Use one_of_n in a simulation to find what woud be the chosen line of a 10 line file simulated 1,000,000 times. Print and show how many times each of the 10 lines is chosen as a rough measure of how well the algorithm works. Note: You may choose a smaller number of repetitions if necessary, but mention this up-front. Note: This is a specific version of a Reservoir Sampling algorithm: https://en.wikipedia.org/wiki/Reservoir_sampling
#Liberty_BASIC
Liberty BASIC
  DIM chosen(10)   FOR i = 1 TO 10000'00 c = oneofN(10) chosen(c) = chosen(c) + 1 NEXT   FOR i = 1 TO 10 PRINT i, chosen(i) NEXT   end   FUNCTION oneofN(n) FOR i = 1 TO n IF RND(1) < 1/i THEN oneofN = i NEXT END FUNCTION  
http://rosettacode.org/wiki/Optional_parameters
Optional parameters
Task Define a function/method/subroutine which sorts a sequence ("table") of sequences ("rows") of strings ("cells"), by one of the strings. Besides the input to be sorted, it shall have the following optional parameters: ordering A function specifying the ordering of strings; lexicographic by default. column An integer specifying which string of each row to compare; the first by default. reverse Reverses the ordering. This task should be considered to include both positional and named optional parameters, as well as overloading on argument count as in Java or selector name as in Smalltalk, or, in the extreme, using different function names. Provide these variations of sorting in whatever way is most natural to your language. If the language supports both methods naturally, you are encouraged to describe both. Do not implement a sorting algorithm; this task is about the interface. If you can't use a built-in sort routine, just omit the implementation (with a comment). See also: Named Arguments
#R
R
tablesort <- function(x, ordering="lexicographic", column=1, reverse=false) { # Implementation }   # Usage is e.g. tablesort(mytable, column=3)
http://rosettacode.org/wiki/Optional_parameters
Optional parameters
Task Define a function/method/subroutine which sorts a sequence ("table") of sequences ("rows") of strings ("cells"), by one of the strings. Besides the input to be sorted, it shall have the following optional parameters: ordering A function specifying the ordering of strings; lexicographic by default. column An integer specifying which string of each row to compare; the first by default. reverse Reverses the ordering. This task should be considered to include both positional and named optional parameters, as well as overloading on argument count as in Java or selector name as in Smalltalk, or, in the extreme, using different function names. Provide these variations of sorting in whatever way is most natural to your language. If the language supports both methods naturally, you are encouraged to describe both. Do not implement a sorting algorithm; this task is about the interface. If you can't use a built-in sort routine, just omit the implementation (with a comment). See also: Named Arguments
#Racket
Racket
  #lang racket   (define (sort-table table [ordering string<=?] [column 0] [reverse? #f]) (sort table (if reverse? (negate ordering) ordering) #:key (λ (row) (list-ref row column))))  
http://rosettacode.org/wiki/Order_two_numerical_lists
Order two numerical lists
sorting 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 Write a function that orders two lists or arrays filled with numbers. The function should accept two lists as arguments and return true if the first list should be ordered before the second, and false otherwise. The order is determined by lexicographic order: Comparing the first element of each list. If the first elements are equal, then the second elements should be compared, and so on, until one of the list has no more elements. If the first list runs out of elements the result is true. If the second list or both run out of elements the result is false. Note: further clarification of lexicographical ordering is expounded on the talk page here and here.
#Maxima
Maxima
"<<"(a,b):=block([n:min(length(a),length(b))], catch(for i thru n do (if a[i]#b[i] then throw(is(a[i]<b[i]))), throw(is(length(a)<length(b)))))$ infix("<<")$   [1,2,3] << [1,2,4]; true   [1,2,3] << [1,2]; false   [1,2] << [1,2]; false
http://rosettacode.org/wiki/Order_two_numerical_lists
Order two numerical lists
sorting 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 Write a function that orders two lists or arrays filled with numbers. The function should accept two lists as arguments and return true if the first list should be ordered before the second, and false otherwise. The order is determined by lexicographic order: Comparing the first element of each list. If the first elements are equal, then the second elements should be compared, and so on, until one of the list has no more elements. If the first list runs out of elements the result is true. If the second list or both run out of elements the result is false. Note: further clarification of lexicographical ordering is expounded on the talk page here and here.
#Mercury
Mercury
:- pred lt(list(int)::in, list(int)::in) is semidet. lt([], [_|_]). lt([H1|T1], [H2|T2]) :- H1 =< H2, T1 `lt` T2.
http://rosettacode.org/wiki/Ordered_words
Ordered words
An   ordered word   is a word in which the letters appear in alphabetic order. Examples include   abbey   and   dirt. Task[edit] Find and display all the ordered words in the dictionary   unixdict.txt   that have the longest word length. (Examples that access the dictionary file locally assume that you have downloaded this file yourself.) The display needs to be shown on this page. Related tasks Word plays Ordered words Palindrome detection Semordnilap Anagrams Anagrams/Deranged anagrams 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
#Liberty_BASIC
Liberty BASIC
  'Ordered wordsFrom Rosetta Code open "unixdict.txt" for input as #1 'this is not normal DOS/Windows file. 'It LF delimited, not CR LF 'So Line input would not work.   lf$=chr$(10) curLen=0 wordList$="" while not(eof(#1)) a$=inputto$(#1, lf$) 'now, check word flag = 1 c$ = left$(a$,1) for i = 2 to len(a$) d$ = mid$(a$,i,1) if c$>d$ then flag=0: exit for c$=d$ next 'ckecked, proceed if ordered word if flag then if curLen=len(a$) then wordList$=wordList$+" "+a$ else if curLen<len(a$) then curLen=len(a$) wordList$=a$ end if end if end if wend close #1 print wordList$  
http://rosettacode.org/wiki/Palindrome_detection
Palindrome detection
A palindrome is a phrase which reads the same backward and forward. Task[edit] Write a function or program that checks whether a given sequence of characters (or, if you prefer, bytes) is a palindrome. For extra credit: Support Unicode characters. Write a second function (possibly as a wrapper to the first) which detects inexact palindromes, i.e. phrases that are palindromes if white-space and punctuation is ignored and case-insensitive comparison is used. Hints It might be useful for this task to know how to reverse a string. This task's entries might also form the subjects of the task Test a function. Related tasks Word plays Ordered words Palindrome detection Semordnilap Anagrams Anagrams/Deranged anagrams 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
#Processing
Processing
  void setup(){ println(isPalindrome(InsertPalindromeHere)); }   boolean isPalindrome(string check){ char[] letters = new char[check.length]; string invert = " "; string modCheck = " " + check; for(int i = 0; i < letters.length; i++){ letters[i] = check.charAt(i); } for(int i = letters.length-1; i >= 0; i--){ invert = invert + letters[i]; }   if(invert == modCheck){ return true; } else { return false; } }  
http://rosettacode.org/wiki/Numeric_error_propagation
Numeric error propagation
If   f,   a,   and   b   are values with uncertainties   σf,   σa,   and   σb,   and   c   is a constant; then if   f   is derived from   a,   b,   and   c   in the following ways, then   σf   can be calculated as follows: Addition/Subtraction If   f = a ± c,   or   f = c ± a   then   σf = σa If   f = a ± b   then   σf2 = σa2 + σb2 Multiplication/Division If   f = ca   or   f = ac       then   σf = |cσa| If   f = ab   or   f = a / b   then   σf2 = f2( (σa / a)2 + (σb / b)2) Exponentiation If   f = ac   then   σf = |fc(σa / a)| Caution: This implementation of error propagation does not address issues of dependent and independent values.   It is assumed that   a   and   b   are independent and so the formula for multiplication should not be applied to   a*a   for example.   See   the talk page   for some of the implications of this issue. Task details Add an uncertain number type to your language that can support addition, subtraction, multiplication, division, and exponentiation between numbers with an associated error term together with 'normal' floating point numbers without an associated error term. Implement enough functionality to perform the following calculations. Given coordinates and their errors: x1 = 100 ± 1.1 y1 = 50 ± 1.2 x2 = 200 ± 2.2 y2 = 100 ± 2.3 if point p1 is located at (x1, y1) and p2 is at (x2, y2); calculate the distance between the two points using the classic Pythagorean formula: d = √   (x1 - x2)²   +   (y1 - y2)²   Print and display both   d   and its error. References A Guide to Error Propagation B. Keeney, 2005. Propagation of uncertainty Wikipedia. Related task   Quaternion type
#Julia
Julia
  using Measurements   x1 = measurement(100, 1.1) x2 = measurement(200, 2.2) y1 = measurement(50, 1.2) y2 = measurement(100, 2.3)   d = sqrt((x1 - x2)^2 + (y1 - y2)^2)   @show d @show d.val, d.err  
http://rosettacode.org/wiki/Numeric_error_propagation
Numeric error propagation
If   f,   a,   and   b   are values with uncertainties   σf,   σa,   and   σb,   and   c   is a constant; then if   f   is derived from   a,   b,   and   c   in the following ways, then   σf   can be calculated as follows: Addition/Subtraction If   f = a ± c,   or   f = c ± a   then   σf = σa If   f = a ± b   then   σf2 = σa2 + σb2 Multiplication/Division If   f = ca   or   f = ac       then   σf = |cσa| If   f = ab   or   f = a / b   then   σf2 = f2( (σa / a)2 + (σb / b)2) Exponentiation If   f = ac   then   σf = |fc(σa / a)| Caution: This implementation of error propagation does not address issues of dependent and independent values.   It is assumed that   a   and   b   are independent and so the formula for multiplication should not be applied to   a*a   for example.   See   the talk page   for some of the implications of this issue. Task details Add an uncertain number type to your language that can support addition, subtraction, multiplication, division, and exponentiation between numbers with an associated error term together with 'normal' floating point numbers without an associated error term. Implement enough functionality to perform the following calculations. Given coordinates and their errors: x1 = 100 ± 1.1 y1 = 50 ± 1.2 x2 = 200 ± 2.2 y2 = 100 ± 2.3 if point p1 is located at (x1, y1) and p2 is at (x2, y2); calculate the distance between the two points using the classic Pythagorean formula: d = √   (x1 - x2)²   +   (y1 - y2)²   Print and display both   d   and its error. References A Guide to Error Propagation B. Keeney, 2005. Propagation of uncertainty Wikipedia. Related task   Quaternion type
#Kotlin
Kotlin
import java.lang.Math.*   data class Approx(val ν: Double, val σ: Double = 0.0) { constructor(a: Approx) : this(a.ν, a.σ) constructor(n: Number) : this(n.toDouble(), 0.0)   override fun toString() = "$ν ±$σ"   operator infix fun plus(a: Approx) = Approx(ν + a.ν, sqrt(σ * σ + a.σ * a.σ)) operator infix fun plus(d: Double) = Approx(ν + d, σ) operator infix fun minus(a: Approx) = Approx(ν - a.ν, sqrt(σ * σ + a.σ * a.σ)) operator infix fun minus(d: Double) = Approx(ν - d, σ)   operator infix fun times(a: Approx): Approx { val v = ν * a.ν return Approx(v, sqrt(v * v * σ * σ / (ν * ν) + a.σ * a.σ / (a.ν * a.ν))) }   operator infix fun times(d: Double) = Approx(ν * d, abs(d * σ))   operator infix fun div(a: Approx): Approx { val v = ν / a.ν return Approx(v, sqrt(v * v * σ * σ / (ν * ν) + a.σ * a.σ / (a.ν * a.ν))) }   operator infix fun div(d: Double) = Approx(ν / d, abs(d * σ))   fun pow(d: Double): Approx { val v = pow(ν, d) return Approx(v, abs(v * d * σ / ν)) } }   fun main(args: Array<String>) { val x1 = Approx(100.0, 1.1) val y1 = Approx(50.0, 1.2) val x2 = Approx(200.0, 2.2) val y2 = Approx(100.0, 2.3) println(((x1 - x2).pow(2.0) + (y1 - y2).pow(2.0)).pow(0.5)) }
http://rosettacode.org/wiki/Odd_word_problem
Odd word problem
Task Write a program that solves the odd word problem with the restrictions given below. Description You are promised an input stream consisting of English letters and punctuations. It is guaranteed that: the words (sequence of consecutive letters) are delimited by one and only one punctuation, the stream will begin with a word, the words will be at least one letter long,   and a full stop (a period, [.]) appears after, and only after, the last word. Example A stream with six words: what,is,the;meaning,of:life. The task is to reverse the letters in every other word while leaving punctuations intact, producing: what,si,the;gninaem,of:efil. while observing the following restrictions: Only I/O allowed is reading or writing one character at a time, which means: no reading in a string, no peeking ahead, no pushing characters back into the stream, and no storing characters in a global variable for later use; You are not to explicitly save characters in a collection data structure, such as arrays, strings, hash tables, etc, for later reversal; You are allowed to use recursions, closures, continuations, threads, co-routines, etc., even if their use implies the storage of multiple characters. Test cases Work on both the   "life"   example given above, and also the text: we,are;not,in,kansas;any,more.
#J
J
putch=: 4 :0 NB. coroutine verb outch y return x )   isletter=: toupper ~: tolower   do_char=: 3 :0 NB. coroutine verb ch=. getch'' if. isletter ch do. if. odd do. putch&ch yield do_char '' return. end. else. odd=: -. odd end. return ch )   evenodd=: 3 :0 clear_outstream begin_instream y odd=: 0 whilst. '.'~:char do. outch char=. do_char coroutine '' end. )
http://rosettacode.org/wiki/Number_names
Number names
Task Show how to spell out a number in English. You can use a preexisting implementation or roll your own, but you should support inputs up to at least one million (or the maximum value of your language's default bounded integer type, if that's less). Support for inputs other than positive integers (like zero, negative integers, and floating-point numbers) is optional. Related task   Spelling of ordinal numbers.
#APL
APL
spell←{⎕IO←0 small←'' 'one' 'two' 'three' 'four' 'five' 'six' 'seven' 'eight' small,←'nine' 'ten' 'eleven' 'twelve' 'thirteen' 'fourteen' small,←'fifteen' 'sixteen' 'seventeen' 'eighteen' 'nineteen' teens←'twenty' 'thirty' 'forty' 'fifty' 'sixty' 'seventy' teens,←'eighty' 'ninety' orders←'m' 'b' 'tr' 'quadr',¨⊂'illion' orders←(⊂¨,¨10*6+3×⍳∘≢)orders orders←('hundred' 100)('thousand' 1000),orders   ⍵=0:'zero' { ⍵<0:'minus ',∇-⍵ ⍵<20:⍵⊃small ⍵<100:{ ty←((⌊⍵÷10)-2)⊃teens 0=n←10|⍵:ty ty,'-',n⊃small }⍵ (⊃⊃∇{ name size←⍺ cur n←⍵ rest←size|n n≥size:(⊂cur,(⍺⍺⌊n÷size),' ',name,((0≠rest)↑'')),rest (⊂cur),rest }/orders,⊂(''⍵)),∇100|⍵ }⍵ }
http://rosettacode.org/wiki/Number_reversal_game
Number reversal game
Task Given a jumbled list of the numbers   1   to   9   that are definitely   not   in ascending order. Show the list,   and then ask the player how many digits from the left to reverse. Reverse those digits,   then ask again,   until all the digits end up in ascending order. The score is the count of the reversals needed to attain the ascending order. Note: Assume the player's input does not need extra validation. Related tasks   Sorting algorithms/Pancake sort   Pancake sorting.   Topswops
#AWK
AWK
BEGIN { print "\nWelcome to the number reversal game!\n"   print "You must put the numbers in order from 1 to 9." print "Your only moves are to reverse groups of numbers" print "on the left side of the list."   newgame() prompt() }   # start a new game function newgame( i, j, t) { # score = number of moves score = 0   # list = list of numbers split("123456789", list, "") do { # Knuth shuffle for (i = 9; i > 1; i--) { j = int(i * rand()) + 1 t = list[i] list[i] = list[j] list[j] = t } } while (win()) }   # numbers in order? function win( i) { # check if list[1] == 1, list[2] == 2, ... for (i = 1; i <= 9; i++) if (list[i] != i) return 0 return 1 }   # user prompt function prompt( i) { printf "\nYour list: " for (i = 1; i < 9; i++) printf "%d, ", list[i] printf "%d\n", list[9]   if (win()) { print "YOU WIN!" printf "Your score is %d moves.\n", score printf "Would you like to play again (y/n)? " again = 1 } else { printf "How many numbers to reverse? " } }   # user input in $1 { if (again) { again = 0 if (tolower(substr($1, 1, 1)) == "y") newgame() else exit } else { score += 1 reverse($1) } prompt() }   function reverse(right, left, t) { left = 1 while (right > left) { t = list[left] list[left] = list[right] list[right] = t left++ right-- } }   END { print "\n\nBye!" }
http://rosettacode.org/wiki/Null_object
Null object
Null (or nil) is the computer science concept of an undefined or unbound object. Some languages have an explicit way to access the null object, and some don't. Some languages distinguish the null object from undefined values, and some don't. Task Show how to access null in your language by checking to see if an object is equivalent to the null object. This task is not about whether a variable is defined. The task is about "null"-like values in various languages, which may or may not be related to the defined-ness of variables in your language.
#AutoIt
AutoIt
Local $object = Null If $object = Null Then MsgBox(0, "NULL", "Object is null")
http://rosettacode.org/wiki/Null_object
Null object
Null (or nil) is the computer science concept of an undefined or unbound object. Some languages have an explicit way to access the null object, and some don't. Some languages distinguish the null object from undefined values, and some don't. Task Show how to access null in your language by checking to see if an object is equivalent to the null object. This task is not about whether a variable is defined. The task is about "null"-like values in various languages, which may or may not be related to the defined-ness of variables in your language.
#AWK
AWK
#!/usr/bin/awk -f BEGIN { b=0; print "<"b,length(b)">" print "<"u,length(u)">" print "<"u+0,length(u+0)">"; }
http://rosettacode.org/wiki/One-dimensional_cellular_automata
One-dimensional cellular automata
Assume an array of cells with an initial distribution of live and dead cells, and imaginary cells off the end of the array having fixed values. Cells in the next generation of the array are calculated based on the value of the cell and its left and right nearest neighbours in the current generation. If, in the following table, a live cell is represented by 1 and a dead cell by 0 then to generate the value of the cell at a particular index in the array of cellular values you use the following table: 000 -> 0 # 001 -> 0 # 010 -> 0 # Dies without enough neighbours 011 -> 1 # Needs one neighbour to survive 100 -> 0 # 101 -> 1 # Two neighbours giving birth 110 -> 1 # Needs one neighbour to survive 111 -> 0 # Starved to death.
#C.2B.2B
C++
#include <iostream> #include <bitset> #include <string>   const int ArraySize = 20; const int NumGenerations = 10; const std::string Initial = "0011101101010101001000";   int main() { // + 2 for the fixed ends of the array std::bitset<ArraySize + 2> array(Initial);   for(int j = 0; j < NumGenerations; ++j) { std::bitset<ArraySize + 2> tmpArray(array); for(int i = ArraySize; i >= 1 ; --i) { if(array[i]) std::cout << "#"; else std::cout << "_"; int val = (int)array[i-1] << 2 | (int)array[i] << 1 | (int)array[i+1]; tmpArray[i] = (val == 3 || val == 5 || val == 6); } array = tmpArray; std::cout << std::endl; } }
http://rosettacode.org/wiki/Numerical_integration
Numerical integration
Write functions to calculate the definite integral of a function ƒ(x) using all five of the following methods: rectangular left right midpoint trapezium Simpson's composite Your functions should take in the upper and lower bounds (a and b), and the number of approximations to make in that range (n). Assume that your example already has a function that gives values for ƒ(x) . Simpson's method is defined by the following pseudo-code: Pseudocode: Simpson's method, composite procedure quad_simpson_composite(f, a, b, n) h := (b - a) / n sum1 := f(a + h/2) sum2 := 0 loop on i from 1 to (n - 1) sum1 := sum1 + f(a + h * i + h/2) sum2 := sum2 + f(a + h * i)   answer := (h / 6) * (f(a) + f(b) + 4*sum1 + 2*sum2) Demonstrate your function by showing the results for:   ƒ(x) = x3,       where   x   is     [0,1],       with           100 approximations.   The exact result is     0.25               (or 1/4)   ƒ(x) = 1/x,     where   x   is   [1,100],     with        1,000 approximations.   The exact result is     4.605170+     (natural log of 100)   ƒ(x) = x,         where   x   is   [0,5000],   with 5,000,000 approximations.   The exact result is   12,500,000   ƒ(x) = x,         where   x   is   [0,6000],   with 6,000,000 approximations.   The exact result is   18,000,000 See also   Active object for integrating a function of real time.   Special:PrefixIndex/Numerical integration for other integration methods.
#CoffeeScript
CoffeeScript
  rules = left_rect: (f, x, h) -> f(x) mid_rect: (f, x, h) -> f(x+h/2) right_rect: (f, x, h) -> f(x+h) trapezium: (f, x, h) -> (f(x) + f(x+h)) / 2 simpson: (f, x, h) -> (f(x) + 4 * f(x + h/2) + f(x+h)) / 6   functions = cube: (x) -> x*x*x reciprocal: (x) -> 1/x identity: (x) -> x   sum = (list) -> list.reduce ((a, b) -> a+b), 0   integrate = (f, a, b, steps, meth) -> h = (b-a) / steps h * sum(meth(f, a+i*h, h) for i in [0...steps])   # Tests tests = [ [0, 1, 100, 'cube'] [1, 100, 1000, 'reciprocal'] [0, 5000, 5000000, 'identity'] [0, 6000, 6000000, 'identity'] ]   for test in tests [a, b, steps, func_name] = test func = functions[func_name] console.log "-- tests for #{func_name} with #{steps} steps from #{a} to #{b}" for rule_name, rule of rules result = integrate func, a, b, steps, rule console.log rule_name, result  
http://rosettacode.org/wiki/Numbers_with_equal_rises_and_falls
Numbers with equal rises and falls
When a number is written in base 10,   adjacent digits may "rise" or "fall" as the number is read   (usually from left to right). Definition Given the decimal digits of the number are written as a series   d:   A   rise   is an index   i   such that   d(i)  <  d(i+1)   A   fall    is an index   i   such that   d(i)  >  d(i+1) Examples   The number   726,169   has   3   rises and   2   falls,   so it isn't in the sequence.   The number     83,548   has   2   rises and   2   falls,   so it   is   in the sequence. Task   Print the first   200   numbers in the sequence   Show that the   10 millionth   (10,000,000th)   number in the sequence is   41,909,002 See also   OEIS Sequence  A296712   describes numbers whose digit sequence in base 10 have equal "rises" and "falls". Related tasks   Esthetic numbers
#Phix
Phix
with javascript_semantics atom t1 = time()+1 integer count = 0, n = 0 printf(1,"The first 200 numbers are:\n") while true do n += 1 integer rmf = 0, l = remainder(n,10), r = floor(n/10) while r do integer p = remainder(r,10) rmf += compare(l,p) l = p r = floor(r/10) end while if rmf=0 then count += 1 if count<=200 then printf(1,"%3d ",n) if remainder(count,20)=0 then printf(1,"\n") end if end if if count == 1e7 then if platform()!=JS then progress("") end if printf(1,"\nThe %,dth number is %,d\n",{count,n}) exit end if if time()>t1 and platform()!=JS then progress("%,d:%,d\r",{count,n}) t1 = time()+1 end if end if end while
http://rosettacode.org/wiki/Numbers_with_equal_rises_and_falls
Numbers with equal rises and falls
When a number is written in base 10,   adjacent digits may "rise" or "fall" as the number is read   (usually from left to right). Definition Given the decimal digits of the number are written as a series   d:   A   rise   is an index   i   such that   d(i)  <  d(i+1)   A   fall    is an index   i   such that   d(i)  >  d(i+1) Examples   The number   726,169   has   3   rises and   2   falls,   so it isn't in the sequence.   The number     83,548   has   2   rises and   2   falls,   so it   is   in the sequence. Task   Print the first   200   numbers in the sequence   Show that the   10 millionth   (10,000,000th)   number in the sequence is   41,909,002 See also   OEIS Sequence  A296712   describes numbers whose digit sequence in base 10 have equal "rises" and "falls". Related tasks   Esthetic numbers
#Python
Python
import itertools   def riseEqFall(num): """Check whether a number belongs to sequence A296712.""" height = 0 d1 = num % 10 num //= 10 while num: d2 = num % 10 height += (d1<d2) - (d1>d2) d1 = d2 num //= 10 return height == 0   def sequence(start, fn): """Generate a sequence defined by a function""" num=start-1 while True: num += 1 while not fn(num): num += 1 yield num   a296712 = sequence(1, riseEqFall)   # Generate the first 200 numbers print("The first 200 numbers are:") print(*itertools.islice(a296712, 200))   # Generate the 10,000,000th number print("The 10,000,000th number is:") print(*itertools.islice(a296712, 10000000-200-1, 10000000-200)) # It is necessary to subtract 200 from the index, because 200 numbers # have already been consumed.  
http://rosettacode.org/wiki/Numerical_integration/Gauss-Legendre_Quadrature
Numerical integration/Gauss-Legendre Quadrature
In a general Gaussian quadrature rule, an definite integral of f ( x ) {\displaystyle f(x)} is first approximated over the interval [ − 1 , 1 ] {\displaystyle [-1,1]} by a polynomial approximable function g ( x ) {\displaystyle g(x)} and a known weighting function W ( x ) {\displaystyle W(x)} . ∫ − 1 1 f ( x ) d x = ∫ − 1 1 W ( x ) g ( x ) d x {\displaystyle \int _{-1}^{1}f(x)\,dx=\int _{-1}^{1}W(x)g(x)\,dx} Those are then approximated by a sum of function values at specified points x i {\displaystyle x_{i}} multiplied by some weights w i {\displaystyle w_{i}} : ∫ − 1 1 W ( x ) g ( x ) d x ≈ ∑ i = 1 n w i g ( x i ) {\displaystyle \int _{-1}^{1}W(x)g(x)\,dx\approx \sum _{i=1}^{n}w_{i}g(x_{i})} In the case of Gauss-Legendre quadrature, the weighting function W ( x ) = 1 {\displaystyle W(x)=1} , so we can approximate an integral of f ( x ) {\displaystyle f(x)} with: ∫ − 1 1 f ( x ) d x ≈ ∑ i = 1 n w i f ( x i ) {\displaystyle \int _{-1}^{1}f(x)\,dx\approx \sum _{i=1}^{n}w_{i}f(x_{i})} For this, we first need to calculate the nodes and the weights, but after we have them, we can reuse them for numerious integral evaluations, which greatly speeds up the calculation compared to more simple numerical integration methods. The n {\displaystyle n} evaluation points x i {\displaystyle x_{i}} for a n-point rule, also called "nodes", are roots of n-th order Legendre Polynomials P n ( x ) {\displaystyle P_{n}(x)} . Legendre polynomials are defined by the following recursive rule: P 0 ( x ) = 1 {\displaystyle P_{0}(x)=1} P 1 ( x ) = x {\displaystyle P_{1}(x)=x} n P n ( x ) = ( 2 n − 1 ) x P n − 1 ( x ) − ( n − 1 ) P n − 2 ( x ) {\displaystyle nP_{n}(x)=(2n-1)xP_{n-1}(x)-(n-1)P_{n-2}(x)} There is also a recursive equation for their derivative: P n ′ ( x ) = n x 2 − 1 ( x P n ( x ) − P n − 1 ( x ) ) {\displaystyle P_{n}'(x)={\frac {n}{x^{2}-1}}\left(xP_{n}(x)-P_{n-1}(x)\right)} The roots of those polynomials are in general not analytically solvable, so they have to be approximated numerically, for example by Newton-Raphson iteration: x n + 1 = x n − f ( x n ) f ′ ( x n ) {\displaystyle x_{n+1}=x_{n}-{\frac {f(x_{n})}{f'(x_{n})}}} The first guess x 0 {\displaystyle x_{0}} for the i {\displaystyle i} -th root of a n {\displaystyle n} -order polynomial P n {\displaystyle P_{n}} can be given by x 0 = cos ⁡ ( π i − 1 4 n + 1 2 ) {\displaystyle x_{0}=\cos \left(\pi \,{\frac {i-{\frac {1}{4}}}{n+{\frac {1}{2}}}}\right)} After we get the nodes x i {\displaystyle x_{i}} , we compute the appropriate weights by: w i = 2 ( 1 − x i 2 ) [ P n ′ ( x i ) ] 2 {\displaystyle w_{i}={\frac {2}{\left(1-x_{i}^{2}\right)[P'_{n}(x_{i})]^{2}}}} After we have the nodes and the weights for a n-point quadrature rule, we can approximate an integral over any interval [ a , b ] {\displaystyle [a,b]} by ∫ a b f ( x ) d x ≈ b − a 2 ∑ i = 1 n w i f ( b − a 2 x i + a + b 2 ) {\displaystyle \int _{a}^{b}f(x)\,dx\approx {\frac {b-a}{2}}\sum _{i=1}^{n}w_{i}f\left({\frac {b-a}{2}}x_{i}+{\frac {a+b}{2}}\right)} Task description Similar to the task Numerical Integration, the task here is to calculate the definite integral of a function f ( x ) {\displaystyle f(x)} , but by applying an n-point Gauss-Legendre quadrature rule, as described here, for example. The input values should be an function f to integrate, the bounds of the integration interval a and b, and the number of gaussian evaluation points n. An reference implementation in Common Lisp is provided for comparison. To demonstrate the calculation, compute the weights and nodes for an 5-point quadrature rule and then use them to compute: ∫ − 3 3 exp ⁡ ( x ) d x ≈ ∑ i = 1 5 w i exp ⁡ ( x i ) ≈ 20.036 {\displaystyle \int _{-3}^{3}\exp(x)\,dx\approx \sum _{i=1}^{5}w_{i}\;\exp(x_{i})\approx 20.036}
#Kotlin
Kotlin
import java.lang.Math.*   class Legendre(val N: Int) { fun evaluate(n: Int, x: Double) = (n downTo 1).fold(c[n][n]) { s, i -> s * x + c[n][i - 1] }   fun diff(n: Int, x: Double) = n * (x * evaluate(n, x) - evaluate(n - 1, x)) / (x * x - 1)   fun integrate(f: (Double) -> Double, a: Double, b: Double): Double { val c1 = (b - a) / 2 val c2 = (b + a) / 2 return c1 * (0 until N).fold(0.0) { s, i -> s + weights[i] * f(c1 * roots[i] + c2) } }   private val roots = DoubleArray(N) private val weights = DoubleArray(N) private val c = Array(N + 1) { DoubleArray(N + 1) } // coefficients   init { // coefficients: c[0][0] = 1.0 c[1][1] = 1.0 for (n in 2..N) { c[n][0] = (1 - n) * c[n - 2][0] / n for (i in 1..n) c[n][i] = ((2 * n - 1) * c[n - 1][i - 1] - (n - 1) * c[n - 2][i]) / n }   // roots: var x: Double var x1: Double for (i in 1..N) { x = cos(PI * (i - 0.25) / (N + 0.5)) do { x1 = x x -= evaluate(N, x) / diff(N, x) } while (x != x1)   x1 = diff(N, x) roots[i - 1] = x weights[i - 1] = 2 / ((1 - x * x) * x1 * x1) }   print("Roots:") roots.forEach { print(" %f".format(it)) } println() print("Weights:") weights.forEach { print(" %f".format(it)) } println() } }   fun main(args: Array<String>) { val legendre = Legendre(5) println("integrating Exp(x) over [-3, 3]:") println("\t%10.8f".format(legendre.integrate(Math::exp, -3.0, 3.0))) println("compared to actual:") println("\t%10.8f".format(exp(3.0) - exp(-3.0))) }
http://rosettacode.org/wiki/Object_serialization
Object serialization
Create a set of data types based upon inheritance. Each data type or class should have a print command that displays the contents of an instance of that class to standard output. Create instances of each class in your inheritance hierarchy and display them to standard output. Write each of the objects to a file named objects.dat in binary form using serialization or marshalling. Read the file objects.dat and print the contents of each serialized object.
#PHP
PHP
$myObj = new Object(); $serializedObj = serialize($myObj);
http://rosettacode.org/wiki/Object_serialization
Object serialization
Create a set of data types based upon inheritance. Each data type or class should have a print command that displays the contents of an instance of that class to standard output. Create instances of each class in your inheritance hierarchy and display them to standard output. Write each of the objects to a file named objects.dat in binary form using serialization or marshalling. Read the file objects.dat and print the contents of each serialized object.
#PicoLisp
PicoLisp
(class +Point) # x y   (dm T (X Y) (=: x (or X 0)) (=: y (or Y 0)) )   (dm print> () (prinl "Point " (: x) "," (: y)) )   (class +Circle +Point) # r   (dm T (X Y R) (super X Y) (=: r (or R 0)) )   (dm print> () (prinl "Circle " (: x) "," (: y) "," (: r)) )   (setq P (new '(+Point) 3 4) C (new '(+Circle) 10 10 5) )   (print> P) (print> C)   (out "objects.dat" (pr (val P) (getl P)) (pr (val C) (getl C)) )
http://rosettacode.org/wiki/Old_lady_swallowed_a_fly
Old lady swallowed a fly
Task Present a program which emits the lyrics to the song   I Knew an Old Lady Who Swallowed a Fly,   taking advantage of the repetitive structure of the song's lyrics. This song has multiple versions with slightly different lyrics, so all these programs might not emit identical output. 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
#Forth
Forth
: string, ( c-addr u -- ) \ store string at HERE , with a count dup c, here swap dup allot move ;   \ doubly linked list: (0|prev, 0|next, aside?, cstr animal; cstr aside) \ aside? is true if the aside is always displayed. variable swallowed variable first : >next ( swallow-addr -- swallow-addr' ) cell+ @ ; : >aside? ( swallow-addr -- f ) 2 cells + @ ; : >animal ( swallow-addr -- c-addr u ) 3 cells + count ; : >aside ( swallow-addr -- c-addr u ) >animal + count ;   : swallow ( "animal" -- ) align swallowed @ if here swallowed @ cell+ ! else here first ! then here swallowed @ , swallowed ! 0 , 0 , parse-word string, ; \ data structure still needs the aside : always ( -- ) \ set aside? of last-defined swallow to true swallowed @ 2 cells + on ; : aside ( "aside" -- ) 0 parse string, ;   swallow fly always aside But I don't know why she swallowed the fly, swallow spider always aside That wriggled and jiggled and tickled inside her; swallow bird aside Quite absurd, she swallowed the bird; swallow cat aside Fancy that, she swallowed the cat; swallow dog aside What a hog, she swallowed the dog; swallow pig aside Her mouth was so big, she swallowed the pig; swallow goat aside She just opened her throat, she swallowed the goat; swallow cow aside I don't know how, she swallowed the cow; swallow donkey aside It was rather wonky, she swallowed the donkey;   : ?aside ( swallow-addr -- ) \ print aside if aside? is true dup >aside? if >aside cr type else drop then ;   : reasons ( swallow-addr -- ) \ print reasons she swallowed something begin dup @ while dup cr ." She swallowed the " >animal type ." to catch the " @ dup >animal type ." ," dup ?aside repeat drop ;   : verse ( swallow-addr -- ) cr ." There was an old lady who swallowed a " dup >animal type ." ," dup >aside cr type reasons cr ." Perhaps she'll die!" ;   : song ( -- ) first @ begin dup verse cr >next dup 0= until drop cr ." There was an old lady who swallowed a horse..." cr ." She's dead, of course!" ;
http://rosettacode.org/wiki/Old_lady_swallowed_a_fly
Old lady swallowed a fly
Task Present a program which emits the lyrics to the song   I Knew an Old Lady Who Swallowed a Fly,   taking advantage of the repetitive structure of the song's lyrics. This song has multiple versions with slightly different lyrics, so all these programs might not emit identical output. 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
#Fortran
Fortran
  program fly !A program to print the "Old lady swallowed a fly" poem implicit none   character(len=52), dimension(0:8,2) :: line integer :: i,j !Define Lines of Poem line(1,1) = 'fly' line(2,1) = 'spider' line(3,1) = 'bird' line(4,1) = 'cat' line(5,1) = 'dog' line(6,1) = 'goat' line(7,1) = 'cow' line(8,1) = 'horse' line(0,2) = "Perhaps she'll die." line(1,2) = "I don't know why she swallowed that fly." line(2,2) = "That wiggled and jiggled and tickled inside her." line(3,2) = "How absurd to swallow a bird." line(4,2) = "Imagine that. She swallowed a cat." line(5,2) = "What a hog to swallow a dog." line(6,2) = "She just opened her throat and swallowed that goat." line(7,2) = "I don't know how she swallowed that cow." line(8,2) = "She's dead of course."   !List each verse verses:do i = 1,8 write(*,*) 'There was an old lady who swallowed a '//trim(line(i,1))//"." write(*,*) trim(line(i,2)) !List things swallowed swallowed:do j = i,2,-1 write(*,*) "She swallowed the "//trim(line(j,1))//" to catch the "//trim(line(j-1,1))//"," end do swallowed write(*,*) trim(line(0,2)) write(*,*) end do verses   end program fly  
http://rosettacode.org/wiki/Old_Russian_measure_of_length
Old Russian measure of length
Task Write a program to perform a conversion of the old Russian measures of length to the metric system   (and vice versa). It is an example of a linear transformation of several variables. The program should accept a single value in a selected unit of measurement, and convert and return it to the other units: vershoks, arshins, sazhens, versts, meters, centimeters and kilometers. Also see   Old Russian measure of length
#Sidef
Sidef
func convert (magnitude, unit) { var factor = Hash( tochka => 0.000254, liniya => 0.00254, diuym => 0.0254, vershok => 0.04445, piad => 0.1778, fut => 0.3048, arshin => 0.7112, sazhen => 2.1336, versta => 1066.8, milia => 7467.6, centimeter => 0.01, meter => 1, kilometer => 1000, )   var meters = (magnitude * factor{unit.lc}) say("#{magnitude} #{unit} to:\n", '-' * 40)   for u,f in (factor.sort_by { |_,v| v }) { printf("%10s: %s\n", u, meters / f) if (u != unit.lc) } }   convert(1, 'meter') say('') convert(1, 'milia')
http://rosettacode.org/wiki/Old_Russian_measure_of_length
Old Russian measure of length
Task Write a program to perform a conversion of the old Russian measures of length to the metric system   (and vice versa). It is an example of a linear transformation of several variables. The program should accept a single value in a selected unit of measurement, and convert and return it to the other units: vershoks, arshins, sazhens, versts, meters, centimeters and kilometers. Also see   Old Russian measure of length
#Tcl
Tcl
  package require units   set russian_units { arshin 1.40607 centimeter 100 diuym 39.3701 fut 3.28084 kilometer 0.001 liniya 393.701 meter 1 milia 0.000133912 piad 5.6243 sazhen 0.468691 tochka 3937.01 vershok 22.4972 versta 0.000937383 }   proc add_russian_units {} { foreach {name factor} $::russian_units { if {$name eq "meter"} continue set factor [expr {1/$factor}] units::new $name "$factor meters" ;# teach units about the new unit } }   proc demo {} { ;# show some examples foreach base {"1 meter" "1 milia"} { puts "$base to:" foreach {unit _} $::russian_units { puts [format " %-12s: %s" $unit [units::convert $base $unit]] } puts "" } }   add_russian_units demo  
http://rosettacode.org/wiki/OpenGL
OpenGL
Task Display a smooth shaded triangle with OpenGL. Triangle created using C example compiled with GCC 4.1.2 and freeglut3.
#Phix
Phix
-- -- demo\rosetta\OpenGL.exw -- ======================= -- with javascript_semantics requires("1.0.1") include pGUI.e include opengl.e Ihandln dlg Ihandle canvas constant fragment_shader = """ precision highp float; varying vec4 v_color; void main(void) { // "Varying" variables are implicitly interpolated across triangles. gl_FragColor = v_color; }""", vertex_shader = """ attribute vec3 a_position; attribute vec4 a_color; varying vec4 v_color; void main(void) { gl_Position = vec4(a_position, 1.0); v_color = a_color; }""" function get_shader(string src, integer stype) integer shader = glCreateShader(stype) glShaderSource(shader, src) glCompileShader(shader) if not glGetShaderParameter(shader, GL_COMPILE_STATUS) then crash(glGetShaderInfoLog(shader)) end if return shader end function constant vertices = { -0.5, -0.5, 0, -- (bl) +0.5, -0.5, 0, -- (br) -0.5, +0.5, 0 }, -- (tl) -- +0.5, +0.5, 0 }, -- (tr) colours = { 1, 0, 0, 1, -- red (bl) 0, 1, 0, 1, -- green (br) 0, 0, 1, 1 } -- blue (tl) procedure set_shader() IupGLMakeCurrent(canvas) integer shaderProgram = glCreateProgram() glAttachShader(shaderProgram, get_shader(vertex_shader,GL_VERTEX_SHADER)) glAttachShader(shaderProgram, get_shader(fragment_shader,GL_FRAGMENT_SHADER)) glLinkProgram(shaderProgram) if not glGetProgramParameter(shaderProgram, GL_LINK_STATUS) then crash(glGetProgramInfoLog(shaderProgram)) end if glUseProgram(shaderProgram) // Get the indexes to communicate vertex attributes to the program. integer positionAttr = glGetAttribLocation(shaderProgram, "a_position"), colorAttr = glGetAttribLocation(shaderProgram, "a_color") // And specify that we will be actually delivering data to those attributes. glEnableVertexAttribArray(positionAttr) glEnableVertexAttribArray(colorAttr) // Store vertex positions and colors in array buffer objects. integer positionBuffer = glCreateBuffer() glBindBuffer(GL_ARRAY_BUFFER, positionBuffer) {integer size, atom pData} = glFloat32Array(vertices) glBufferData(GL_ARRAY_BUFFER, size, pData, GL_STATIC_DRAW) glEnableVertexAttribArray(positionBuffer) integer colorBuffer = glCreateBuffer() glBindBuffer(GL_ARRAY_BUFFER, colorBuffer) {size, pData} = glFloat32Array(colours) glBufferData(GL_ARRAY_BUFFER, size, pData, GL_STATIC_DRAW) glEnableVertexAttribArray(colorBuffer) glEnable(GL_DEPTH_TEST) // Specify the array data to render. // 3 and 4 are the lengths of the vectors (3 for XYZ, 4 for RGBA). glBindBuffer(GL_ARRAY_BUFFER, positionBuffer) glVertexAttribPointer(positionAttr, 3, GL_FLOAT, false, 0, 0) glEnableVertexAttribArray(positionAttr) glBindBuffer(GL_ARRAY_BUFFER, colorBuffer) glVertexAttribPointer(colorAttr, 4, GL_FLOAT, false, 0, 0) glEnableVertexAttribArray(colorAttr) end procedure bool drawn = false function action(Ihandle /*ih*/) if not drawn or platform()!=JS then glClearColor(0.3, 0.3, 0.3, 1.0) integer {w,h} = IupGetIntInt(canvas,"DRAWSIZE") glViewport(0, 0, w, h) glClear(GL_COLOR_BUFFER_BIT || GL_DEPTH_BUFFER_BIT) // Draw triangles using the specified arrays. integer numVertices = length(vertices)/3 // 3 coordinates per vertex glDrawArrays(GL_TRIANGLES, 0, numVertices) // Check for errors. while true do integer e = glGetError() if e=GL_NO_ERROR then exit end if printf(1,"GL error %d\n", e) end while glFlush() drawn = true end if return IUP_DEFAULT end function procedure main() IupOpen() canvas = IupGLCanvas(Icallback("action"), "RASTERSIZE=640x480") dlg = IupDialog(canvas, "TITLE=OpenGLShader, SHRINK=YES") IupMap(dlg) set_shader() IupShow(dlg) if platform()!=JS then IupMainLoop() dlg = IupDestroy(dlg) IupClose() end if end procedure main()
http://rosettacode.org/wiki/One_of_n_lines_in_a_file
One of n lines in a file
A method of choosing a line randomly from a file: Without reading the file more than once When substantial parts of the file cannot be held in memory Without knowing how many lines are in the file Is to: keep the first line of the file as a possible choice, then Read the second line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/2. Read the third line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/3. ... Read the Nth line of the file if possible and make it the possible choice if a uniform random value between zero and one is less than 1/N Return the computed possible choice when no further lines exist in the file. Task Create a function/method/routine called one_of_n that given n, the number of actual lines in a file, follows the algorithm above to return an integer - the line number of the line chosen from the file. The number returned can vary, randomly, in each run. Use one_of_n in a simulation to find what woud be the chosen line of a 10 line file simulated 1,000,000 times. Print and show how many times each of the 10 lines is chosen as a rough measure of how well the algorithm works. Note: You may choose a smaller number of repetitions if necessary, but mention this up-front. Note: This is a specific version of a Reservoir Sampling algorithm: https://en.wikipedia.org/wiki/Reservoir_sampling
#Lua
Lua
  math.randomseed(os.time())   local n = 10 local trials = 1000000   function one(n) local chosen = 1 for i = 1, n do if math.random() < 1/i then chosen = i end end   return chosen end   -- 0 filled table for storing results local results = {} for i = 1, n do results[i] = 0 end   -- run simulation for i = 1, trials do local result = one(n) results[result] = results[result] + 1 end   print("Value","Occurrences") print("-------------------") for k, v in ipairs(results) do print(k,v) end  
http://rosettacode.org/wiki/Optional_parameters
Optional parameters
Task Define a function/method/subroutine which sorts a sequence ("table") of sequences ("rows") of strings ("cells"), by one of the strings. Besides the input to be sorted, it shall have the following optional parameters: ordering A function specifying the ordering of strings; lexicographic by default. column An integer specifying which string of each row to compare; the first by default. reverse Reverses the ordering. This task should be considered to include both positional and named optional parameters, as well as overloading on argument count as in Java or selector name as in Smalltalk, or, in the extreme, using different function names. Provide these variations of sorting in whatever way is most natural to your language. If the language supports both methods naturally, you are encouraged to describe both. Do not implement a sorting algorithm; this task is about the interface. If you can't use a built-in sort routine, just omit the implementation (with a comment). See also: Named Arguments
#Raku
Raku
method sorttable(:$column = 0, :$reverse, :&ordering = &infix:<cmp>) { my @result = self»[$column].sort: &ordering; return $reverse ?? @result.reverse !! @result; }
http://rosettacode.org/wiki/Order_two_numerical_lists
Order two numerical lists
sorting 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 Write a function that orders two lists or arrays filled with numbers. The function should accept two lists as arguments and return true if the first list should be ordered before the second, and false otherwise. The order is determined by lexicographic order: Comparing the first element of each list. If the first elements are equal, then the second elements should be compared, and so on, until one of the list has no more elements. If the first list runs out of elements the result is true. If the second list or both run out of elements the result is false. Note: further clarification of lexicographical ordering is expounded on the talk page here and here.
#Nim
Nim
proc `<`[T](a, b: openarray[T]): bool = for i in 0 .. min(a.len, b.len): if a[i] < b[i]: return true if a[i] > b[i]: return false return a.len < b.len   echo([1,2,1,3,2] < [1,2,0,4,4,0,0,0])
http://rosettacode.org/wiki/Order_two_numerical_lists
Order two numerical lists
sorting 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 Write a function that orders two lists or arrays filled with numbers. The function should accept two lists as arguments and return true if the first list should be ordered before the second, and false otherwise. The order is determined by lexicographic order: Comparing the first element of each list. If the first elements are equal, then the second elements should be compared, and so on, until one of the list has no more elements. If the first list runs out of elements the result is true. If the second list or both run out of elements the result is false. Note: further clarification of lexicographical ordering is expounded on the talk page here and here.
#OCaml
OCaml
# [1;2;1;3;2] < [1;2;0;4;4;0;0;0];; - : bool = false
http://rosettacode.org/wiki/Ordered_words
Ordered words
An   ordered word   is a word in which the letters appear in alphabetic order. Examples include   abbey   and   dirt. Task[edit] Find and display all the ordered words in the dictionary   unixdict.txt   that have the longest word length. (Examples that access the dictionary file locally assume that you have downloaded this file yourself.) The display needs to be shown on this page. Related tasks Word plays Ordered words Palindrome detection Semordnilap Anagrams Anagrams/Deranged anagrams 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
#Lingo
Lingo
-- Contents of unixdict.txt passed as string on printLongestOrderedWords (words) res = [] maxlen = 0 _player.itemDelimiter = numtochar(10) cnt = words.item.count repeat with i = 1 to cnt w = words.item[i] len = w.length ordered = TRUE repeat with j = 2 to len if chartonum(w.char[j-1])>chartonum(w.char[j]) then ordered = FALSE exit repeat end if end repeat if ordered then if len > maxlen then res = [w] maxlen = len else if len = maxlen then res.add(w) end if end if end repeat put res end
http://rosettacode.org/wiki/Ordered_words
Ordered words
An   ordered word   is a word in which the letters appear in alphabetic order. Examples include   abbey   and   dirt. Task[edit] Find and display all the ordered words in the dictionary   unixdict.txt   that have the longest word length. (Examples that access the dictionary file locally assume that you have downloaded this file yourself.) The display needs to be shown on this page. Related tasks Word plays Ordered words Palindrome detection Semordnilap Anagrams Anagrams/Deranged anagrams 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
#Lua
Lua
fp = io.open( "dictionary.txt" )   maxlen = 0 list = {}   for w in fp:lines() do ordered = true for l = 2, string.len(w) do if string.byte( w, l-1 ) > string.byte( w, l ) then ordered = false break end end if ordered then if string.len(w) > maxlen then list = {} list[1] = w maxlen = string.len(w) elseif string.len(w) == maxlen then list[#list+1] = w end end end   for _, w in pairs(list) do print( w ) end   fp:close()
http://rosettacode.org/wiki/Palindrome_detection
Palindrome detection
A palindrome is a phrase which reads the same backward and forward. Task[edit] Write a function or program that checks whether a given sequence of characters (or, if you prefer, bytes) is a palindrome. For extra credit: Support Unicode characters. Write a second function (possibly as a wrapper to the first) which detects inexact palindromes, i.e. phrases that are palindromes if white-space and punctuation is ignored and case-insensitive comparison is used. Hints It might be useful for this task to know how to reverse a string. This task's entries might also form the subjects of the task Test a function. Related tasks Word plays Ordered words Palindrome detection Semordnilap Anagrams Anagrams/Deranged anagrams 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
#Prolog
Prolog
palindrome(Word) :- name(Word,List), reverse(List,List).
http://rosettacode.org/wiki/Numeric_error_propagation
Numeric error propagation
If   f,   a,   and   b   are values with uncertainties   σf,   σa,   and   σb,   and   c   is a constant; then if   f   is derived from   a,   b,   and   c   in the following ways, then   σf   can be calculated as follows: Addition/Subtraction If   f = a ± c,   or   f = c ± a   then   σf = σa If   f = a ± b   then   σf2 = σa2 + σb2 Multiplication/Division If   f = ca   or   f = ac       then   σf = |cσa| If   f = ab   or   f = a / b   then   σf2 = f2( (σa / a)2 + (σb / b)2) Exponentiation If   f = ac   then   σf = |fc(σa / a)| Caution: This implementation of error propagation does not address issues of dependent and independent values.   It is assumed that   a   and   b   are independent and so the formula for multiplication should not be applied to   a*a   for example.   See   the talk page   for some of the implications of this issue. Task details Add an uncertain number type to your language that can support addition, subtraction, multiplication, division, and exponentiation between numbers with an associated error term together with 'normal' floating point numbers without an associated error term. Implement enough functionality to perform the following calculations. Given coordinates and their errors: x1 = 100 ± 1.1 y1 = 50 ± 1.2 x2 = 200 ± 2.2 y2 = 100 ± 2.3 if point p1 is located at (x1, y1) and p2 is at (x2, y2); calculate the distance between the two points using the classic Pythagorean formula: d = √   (x1 - x2)²   +   (y1 - y2)²   Print and display both   d   and its error. References A Guide to Error Propagation B. Keeney, 2005. Propagation of uncertainty Wikipedia. Related task   Quaternion type
#Mathematica.2FWolfram_Language
Mathematica/Wolfram Language
PlusMinus /: a_ ± σa_ + c_?NumericQ := N[(a + c) ± σa]; PlusMinus /: a_ ± σa_ + b_ ± σb_ := N[(a + b) ± Norm@{σa, σb}]; PlusMinus /: c_?NumericQ (a_ ± σa_) := N[c a ± Abs[c σa]]; PlusMinus /: (a_ ± σa_) (b_ ± σb_) := N[a b ± (a b Norm@{σa/a, σb/b})^2]; PlusMinus /: (a_ ± σa_)^c_?NumericQ := N[a^c ± Abs[a^c σa/a]];
http://rosettacode.org/wiki/Numeric_error_propagation
Numeric error propagation
If   f,   a,   and   b   are values with uncertainties   σf,   σa,   and   σb,   and   c   is a constant; then if   f   is derived from   a,   b,   and   c   in the following ways, then   σf   can be calculated as follows: Addition/Subtraction If   f = a ± c,   or   f = c ± a   then   σf = σa If   f = a ± b   then   σf2 = σa2 + σb2 Multiplication/Division If   f = ca   or   f = ac       then   σf = |cσa| If   f = ab   or   f = a / b   then   σf2 = f2( (σa / a)2 + (σb / b)2) Exponentiation If   f = ac   then   σf = |fc(σa / a)| Caution: This implementation of error propagation does not address issues of dependent and independent values.   It is assumed that   a   and   b   are independent and so the formula for multiplication should not be applied to   a*a   for example.   See   the talk page   for some of the implications of this issue. Task details Add an uncertain number type to your language that can support addition, subtraction, multiplication, division, and exponentiation between numbers with an associated error term together with 'normal' floating point numbers without an associated error term. Implement enough functionality to perform the following calculations. Given coordinates and their errors: x1 = 100 ± 1.1 y1 = 50 ± 1.2 x2 = 200 ± 2.2 y2 = 100 ± 2.3 if point p1 is located at (x1, y1) and p2 is at (x2, y2); calculate the distance between the two points using the classic Pythagorean formula: d = √   (x1 - x2)²   +   (y1 - y2)²   Print and display both   d   and its error. References A Guide to Error Propagation B. Keeney, 2005. Propagation of uncertainty Wikipedia. Related task   Quaternion type
#Nim
Nim
import strformat import math   type Imprecise = object x: float σ: float   template `^`(a, b: float): float = pow(a, b) template `-`(a: Imprecise): Imprecise = Imprecise(x: -a.x, σ: a.σ) template `+`(a, b: Imprecise): Imprecise = Imprecise(x: a.x + b.x, σ: sqrt(a.σ ^ 2 + b.σ ^ 2)) template `-`(a, b: Imprecise): Imprecise = Imprecise(x: a.x - b.x, σ: sqrt(a.σ ^ 2 + b.σ ^ 2)) template `*`(a, b: Imprecise): Imprecise = let x = a.x * b.x let σ = sqrt(x ^ 2 * ((a.σ / a.x) ^ 2 + (b.σ / b.x) ^ 2)) Imprecise(x: x, σ: σ) template `/`(a, b: Imprecise): Imprecise = let x = a.x / b.x let σ = sqrt(x ^ 2 * ((a.σ / a.x) ^ 2 + (b.σ / b.x) ^ 2)) Imprecise(x: x, σ: σ) template `^`(a: Imprecise, b: float): Imprecise = if b < 0: raise newException(IOError, "Cannot raise to negative power.") let x = a.x ^ b let σ = abs(x * b * a.σ / a.x) Imprecise(x: x, σ: σ) template sqrt(a: Imprecise): Imprecise = a ^ 0.5   proc `$`(a: Imprecise): string = fmt"{a.x:.2f} ± {a.σ:.2f}"   var x1 = Imprecise(x: 100, σ: 1.1) var y1 = Imprecise(x: 50, σ: 1.2) var x2 = Imprecise(x: 200, σ: 2.2) var y2 = Imprecise(x: 100, σ: 2.3)   echo sqrt((x1 - x2) ^ 2 + (y1 - y2) ^ 2)
http://rosettacode.org/wiki/Odd_word_problem
Odd word problem
Task Write a program that solves the odd word problem with the restrictions given below. Description You are promised an input stream consisting of English letters and punctuations. It is guaranteed that: the words (sequence of consecutive letters) are delimited by one and only one punctuation, the stream will begin with a word, the words will be at least one letter long,   and a full stop (a period, [.]) appears after, and only after, the last word. Example A stream with six words: what,is,the;meaning,of:life. The task is to reverse the letters in every other word while leaving punctuations intact, producing: what,si,the;gninaem,of:efil. while observing the following restrictions: Only I/O allowed is reading or writing one character at a time, which means: no reading in a string, no peeking ahead, no pushing characters back into the stream, and no storing characters in a global variable for later use; You are not to explicitly save characters in a collection data structure, such as arrays, strings, hash tables, etc, for later reversal; You are allowed to use recursions, closures, continuations, threads, co-routines, etc., even if their use implies the storage of multiple characters. Test cases Work on both the   "life"   example given above, and also the text: we,are;not,in,kansas;any,more.
#Java
Java
public class OddWord { interface CharHandler { CharHandler handle(char c) throws Exception; } final CharHandler fwd = new CharHandler() { public CharHandler handle(char c) { System.out.print(c); return (Character.isLetter(c) ? fwd : rev); } }; class Reverser extends Thread implements CharHandler { Reverser() { setDaemon(true); start(); } private Character ch; // For inter-thread comms private char recur() throws Exception { notify(); while (ch == null) wait(); char c = ch, ret = c; ch = null; if (Character.isLetter(c)) { ret = recur(); System.out.print(c); } return ret; } public synchronized void run() { try { while (true) { System.out.print(recur()); notify(); } } catch (Exception e) {} } public synchronized CharHandler handle(char c) throws Exception { while (ch != null) wait(); ch = c; notify(); while (ch != null) wait(); return (Character.isLetter(c) ? rev : fwd); } } final CharHandler rev = new Reverser();   public void loop() throws Exception { CharHandler handler = fwd; int c; while ((c = System.in.read()) >= 0) { handler = handler.handle((char) c); } }   public static void main(String[] args) throws Exception { new OddWord().loop(); } }
http://rosettacode.org/wiki/Number_names
Number names
Task Show how to spell out a number in English. You can use a preexisting implementation or roll your own, but you should support inputs up to at least one million (or the maximum value of your language's default bounded integer type, if that's less). Support for inputs other than positive integers (like zero, negative integers, and floating-point numbers) is optional. Related task   Spelling of ordinal numbers.
#AppleScript
AppleScript
use AppleScript version "2.4" -- OS X 10.10 (Yosemite) or later use framework "Foundation"   on numberToWords(n) return (current application's class "NSNumberFormatter"'s localizedStringFromNumber:(n) numberStyle:(current application's NSNumberFormatterSpellOutStyle)) as text end numberToWords   numberToWords(-3.6028797018963E+10) --> "minus thirty-six billion twenty-eight million seven hundred ninety-seven thousand eighteen point nine six three"
http://rosettacode.org/wiki/Number_reversal_game
Number reversal game
Task Given a jumbled list of the numbers   1   to   9   that are definitely   not   in ascending order. Show the list,   and then ask the player how many digits from the left to reverse. Reverse those digits,   then ask again,   until all the digits end up in ascending order. The score is the count of the reversals needed to attain the ascending order. Note: Assume the player's input does not need extra validation. Related tasks   Sorting algorithms/Pancake sort   Pancake sorting.   Topswops
#BASIC
BASIC
PRINT "Given a jumbled list of the numbers 1 to 9," PRINT "you must select how many digits from the left to reverse." PRINT "Your goal is to get the digits in order with 1 on the left and 9 on the right."   RANDOMIZE TIMER   DIM nums(1 TO 9) AS INTEGER DIM L0 AS INTEGER, n AS INTEGER, flp AS INTEGER, tries AS INTEGER, again AS INTEGER   'initial values FOR L0 = 1 TO 9 nums(L0) = L0 NEXT   DO 'shuffle FOR L0 = 9 TO 2 STEP -1 n = INT(RND * (L0)) + 1 IF n <> L0 THEN SWAP nums(n), nums(L0) NEXT FOR L0 = 1 TO 8 'make sure it's not in order IF nums(L0) > nums(L0 + 1) THEN EXIT DO NEXT LOOP   again = -1 DO IF tries < 10 THEN PRINT " "; PRINT tries; ":"; FOR L0 = 1 TO 9 PRINT nums(L0); NEXT   IF NOT again THEN EXIT DO   INPUT " -- How many numbers should be flipped"; flp IF flp < 0 THEN flp = 0 IF flp > 9 THEN flp = 0   FOR L0 = 1 TO (flp \ 2) SWAP nums(L0), nums(flp - L0 + 1) NEXT   again = 0 'check for order FOR L0 = 1 TO 8 IF nums(L0) > nums(L0 + 1) THEN again = -1 EXIT FOR END IF NEXT   IF flp > 0 THEN tries = tries + 1 LOOP   PRINT : PRINT "You took "; LTRIM$(RTRIM$(STR$(tries))); " tries to put the digits in order."
http://rosettacode.org/wiki/Null_object
Null object
Null (or nil) is the computer science concept of an undefined or unbound object. Some languages have an explicit way to access the null object, and some don't. Some languages distinguish the null object from undefined values, and some don't. Task Show how to access null in your language by checking to see if an object is equivalent to the null object. This task is not about whether a variable is defined. The task is about "null"-like values in various languages, which may or may not be related to the defined-ness of variables in your language.
#Axe
Axe
If P=0 Disp "NULL PTR",i End