Four is magic
You are encouraged to solve this task according to the task description, using any language you may know.
 Task
Write a subroutine, function, whatever it may be called in your language, that takes an integer number and returns an English text sequence starting with the English cardinal representation of that integer, the word 'is' and then the English cardinal representation of the count of characters that made up the first word, followed by a comma.
Continue the sequence by using the previous count word as the first word of the next phrase, append 'is' and the cardinal count of the letters in that word.
Continue until you reach four. Since four has four characters, finish by adding the words 'four is magic' and a period. All integers will eventually wind up at four.
For instance, suppose your are given the integer 3. Convert 3 to Three, add is , then the cardinal character count of three, or five, with a comma to separate if from the next phrase. Continue the sequence five is four, (five has four letters), and finally, four is magic.
Three is five, five is four, four is magic.
For reference, here are outputs for 0 through 9.
Zero is four, four is magic. One is three, three is five, five is four, four is magic. Two is three, three is five, five is four, four is magic. Three is five, five is four, four is magic. Four is magic. Five is four, four is magic. Six is three, three is five, five is four, four is magic. Seven is five, five is four, four is magic. Eight is five, five is four, four is magic. Nine is four, four is magic.
 Some task guidelines

 You may assume the input will only contain integer numbers.
 Cardinal numbers between 20 and 100 may use either hyphens or spaces as word separators but they must use a word separator. (23 is twenty three or twentythree not twentythree.)
 Cardinal number conversions should follow the English short scale. (billion is 1e9, trillion is 1e12, etc.)
 Cardinal numbers should not include commas. (20140 is twenty thousand one hundred forty not twenty thousand, one hundred forty.)
 When converted to a string, 100 should be one hundred, not a hundred or hundred, 1000 should be one thousand, not a thousand or thousand.
 When converted to a string, there should be no and in the cardinal string. 130 should be one hundred thirty not one hundred and thirty.
 When counting characters, count all of the characters in the cardinal number including spaces and hyphens. One hundred fiftyone should be 21 not 18.
 The output should follow the format "N is K, K is M, M is ... four is magic." (unless the input is 4, in which case the output should simply be "four is magic.")
 The output can either be the return value from the function, or be displayed from within the function.
 You are encouraged, though not mandated to use proper sentence capitalization.
 You may optionally support negative numbers. 7 is negative seven.
 Show the output here for a small representative sample of values, at least 5 but no more than 25. You are free to choose which which numbers to use for output demonstration.
You can choose to use a library, (module, external routine, whatever) to do the cardinal conversions as long as the code is easily and freely available to the public.
If you roll your own, make the routine accept at minimum any integer from 0 up to 999999. If you use a premade library, support at least up to unsigned 64 bit integers. (or the largest integer supported in your language if it is less.)
Four is magic is a popular codegolf task. This is not code golf. Write legible, idiomatic and well formatted code.
 Related tasks
Contents
8086 Assembly[edit]
puts: equ 9h ; MSDOS syscall to print a string
cpu 8086
bits 16
org 100h
section .text
;;; Read number from the MSDOS command line
;;; The task says numbers up to 999999 need to be
;;; supported, so we can't get away with using MUL.
mov cl,[80h] ; Is there an argument?
test cl,cl
jnz havearg
mov ah,puts ; If not, print "no input"
mov dx,errinput
int 21h
ret ; And stop.
havearg: mov si,82h ; Start of argument string
xor ch,ch ; CX = argument length
dec cx ; Minus one (space before argument)
xor ax,ax ; Accumulator starts out at 0
xor dx,dx
numloop: mov bp,ax ; DX:AX *= 10
mov di,dx
add ax,ax ; ... *2
adc dx,dx
add ax,ax ; ... *4
adc dx,dx
add ax,bp ; ... *5
adc dx,di
add ax,ax ; ... *10
adc dx,dx
mov bx,ax
lodsb ; Get digit
sub al,'0'
xor ah,ah
add ax,bx ; Add digit
adc dx,0
loop numloop ; Next digit if there is one
;;; DX:AX now contains the binary representation of
;;; the decimal input.
cmp dx,0Fh ; Check that DX:AX <= 999999
jb donum
cmp ax,4240h ; 0F4240h = 1000000
jb donum
mov ah,puts ; Otherwise, print error message
mov dx,errhigh
int 21h
ret
;;; DX:AX = current number
donum: push dx ; Keep number
push ax
mov di,numstring ; Create the string for the number
call cardinal
mov [di],byte '$'
xor [numstring],byte 32 ; Capitalize first letter
.print: mov dx,numstring ; Print the string
mov ah,puts
int 21h
mov dx,is ; print ' is ',
int 21h
pop ax ; Retrieve number
pop dx
test dx,dx ; DX:AX = 4 = magic
jnz .nomagic ; DX <> 0 = not magic
cmp ax,4 ; If AX=4 then magic
je .magic
.nomagic: sub di,numstring ; Calculate length of string
xor dx,dx ; Set DX:AX to DI
mov ax,di
push dx ; Store new number on stack
push ax
mov di,numstring ; Make string for new number
call cardinal
mov [di],byte '$'
mov dx,numstring ; Print the string
mov ah,puts
int 21h
mov dx,commaspace ; Print comma and space
int 21h
jmp .print ; Then use next number as input
.magic: mov dx,magic ; print "magic.",
mov ah,puts
int 21h
ret ; and stop
;;; Subroutine: assuming 0 <= DX:AX <= 999999, write
;;; cardinal representation at ES:DI.
cardinal: mov bp,ax
or bp,dx
jz .zero ; If it is zero, return 'Zero'
mov bp,1000 ; Otherwise, get 1000s part
div bp
test ax,ax ; Above 1000?
jz .hundreds_dx ; If not, just find hundreds
push dx ; Otherwise, save <1000s part,
call .hundreds ; get string for how many thousands,
mov si,thousand ; Then add ' thousand',
call stradd
pop dx ; Restore <1000 part,
test dx,dx ; Even thousands?
jnz .hundreds_spc ; Then add hundreds
ret ; Otherwise we're done
.hundreds_spc: mov al,' ' ; Add space betweeen thousand and rest
stosb
.hundreds_dx: mov ax,dx
.hundreds: mov bp,100 ; Get hundreds part
xor dx,dx
div bp ; AX=100s
test ax,ax ; If zero, no hundreds
jz .tens_dx
dec ax ; Otherwise, look up in singles
shl ax,1 ; table,
mov bx,ax
mov si,[single+bx]
call stradd ; Add to the output string,
mov si,hundred ; Add ' hundred',
call stradd
test dx,dx ; Is there any more?
jne .tens_spc ; If so, add tens
ret ; Otherwise we're done
.tens_spc: mov al,' ' ; Add space between 'hundred' and tens
stosb
.tens_dx: mov ax,dx ; Tens in AX (from hundreds)
.tens: aam ; AH=10s digit, AL=1s digit
test ah,ah ; If 10s digit is 0, single digit
jz .ones
cmp ah,1 ; If 10s digit is 1, teens
jz .teens
mov bl,ah ; Look up tens digit in tens table
sub bl,2
shl bl,1
xor bh,bh
mov si,[tens+bx] ; Add to the output string
call stradd
test al,al ; Ones digit left?
jne .ones_dash ; If so, add dash and ones digit
ret ; Otherwise we're done
.ones_dash: mov [di],byte ''
inc di
.ones: mov bl,al ; Look up ones digit in ones table
dec bl
shl bl,1
xor bh,bh
mov si,[single+bx]
jmp stradd
.teens: mov bl,al ; Look up ones digit in teens table
shl bl,1
xor bh,bh
mov si,[teens+bx]
jmp stradd
.zero: mov si,zero
;;; Copy $terminated string at DS:SI to ES:DI, except
;;; the terminator.
stradd: push ax ; Keep AX register
.loop: lodsb ; Get byte from DS:SI
cmp al,'$' ; Are we there yet?
je .out ; If so, stop
stosb ; Otherwise, store at ES:DI
jmp .loop
.out: pop ax
ret
section .data
single: dw one,two,three,four
dw five,six,seven,eight,nine
teens: dw ten,eleven,twelve,thirteen,fourteen
dw fifteen,sixteen,seventeen,eighteen,nineteen
tens: dw twenty,thirty,forty,fifty
dw sixty,seventy,eighty,ninety
zero: db 'zero$'
one: db 'one$'
two: db 'two$'
three: db 'three$'
four: db 'four$'
five: db 'five$'
six: db 'six$'
seven: db 'seven$'
eight: db 'eight$'
nine: db 'nine$'
ten: db 'ten$'
eleven: db 'eleven$'
twelve: db 'twelve$'
thirteen: db 'thirteen$'
fourteen: db 'fourteen$'
fifteen: db 'fifteen$'
sixteen: db 'sixteen$'
seventeen: db 'seventeen$'
eighteen: db 'eighteen$'
nineteen: db 'nineteen$'
twenty: db 'twenty$'
thirty: db 'thirty$'
forty: db 'forty$'
fifty: db 'fifty$'
sixty: db 'sixty$'
seventy: db 'seventy$'
eighty: db 'eighty$'
ninety: db 'ninety$'
hundred: db ' hundred$'
thousand: db ' thousand$'
is: db ' is $'
magic: db 'magic.$'
commaspace: db ', $'
errinput: db 'No input$'
errhigh: db 'Max input 999999$'
section .bss
numstring: resb 1024
 Output:
C:\>magic 0 Zero is four, four is magic. C:\>magic 1 One is three, three is five, five is four, four is magic. C:\>magic 2 Two is three, three is five, five is four, four is magic. C:\>magic 3 Three is five, five is four, four is magic. C:\>magic 4 Four is magic. C:\>magic 123 One hundred twentythree is twentyfour, twentyfour is eleven, eleven is six, six is three, three is five, five is four, four is magic. C:\>magic 123456 One hundred twentythree thousand four hundred fiftysix is fiftysix, fiftysix is nine, nine is four, four is magic. C:\>magic 999999 Nine hundred ninetynine thousand ninehundred ninetynine is fiftyeight, fiftyeight is eleven, eleven is six, six is three, three is five, five is four, four is magic.
AutoHotkey[edit]
Based on Number names
Four_is_magic(num){Examples:
nubmer := num
while (num <> 4)
result .= (res := spell(num)) " is " spell(num := StrLen(res)) ", "
return PrettyNumber(nubmer) " " result "four is magic!"
}
Spell(n) { ; recursive function to spell out the name of a max 36 digit integer, after leading 0s removed
Static p1=" thousand ",p2=" million ",p3=" billion ",p4=" trillion ",p5=" quadrillion ",p6=" quintillion "
, p7=" sextillion ",p8=" septillion ",p9=" octillion ",p10=" nonillion ",p11=" decillion "
, t2="twenty",t3="thirty",t4="forty",t5="fifty",t6="sixty",t7="seventy",t8="eighty",t9="ninety"
, o0="zero",o1="one",o2="two",o3="three",o4="four",o5="five",o6="six",o7="seven",o8="eight"
, o9="nine",o10="ten",o11="eleven",o12="twelve",o13="thirteen",o14="fourteen",o15="fifteen"
, o16="sixteen",o17="seventeen",o18="eighteen",o19="nineteen"
If (11 < d := (StrLen(n)1)//3) ; #of digit groups of 3
Return "Number too big"
If (d) ; more than 3 digits
Return Spell(SubStr(n,1,3*d)) p%d% ((s:=SubStr(n,13*d)) ? ", " Spell(s) : "")
i := SubStr(n,1,1)
If (n > 99) ; 3 digits
Return o%i% " hundred" ((s:=SubStr(n,2)) ? " " Spell(s) : "")
If (n > 19) ; n = 20..99
Return t%i% ((o:=SubStr(n,2)) ? "" o%o% : "")
Return o%n% ; n = 0..19
}
PrettyNumber(n) { ; inserts thousands separators into a number string
Return RegExReplace(n, "\B(?=((\d{3})+$))", ",")
}
for i, num in StrSplit("7,54,235,8463,95723,485723,5472539,15750268,853956201,2736452849,94837286837,636478294710", ",")Outputs:
result .= Four_is_magic(num) "`n"
MsgBox % result
7 seven is five, five is four, four is magic! 54 fiftyfour is ten, ten is three, three is five, five is four, four is magic! 235 two hundred thirtyfive is twentythree, twentythree is twelve, twelve is six, six is three, three is five, five is four, four is magic! 8,463 eight thousand , four hundred sixtythree is fortyone, fortyone is nine, nine is four, four is magic! 95,723 ninetyfive thousand , seven hundred twentythree is fortynine, fortynine is ten, ten is three, three is five, five is four, four is magic! 485,723 four hundred eightyfive thousand , seven hundred twentythree is sixtytwo, sixtytwo is nine, nine is four, four is magic! 5,472,539 five million , four hundred seventytwo thousand , five hundred thirtynine is seventyfive, seventyfive is twelve, twelve is six, six is three, three is five, five is four, four is magic! 15,750,268 fifteen million , seven hundred fifty thousand , two hundred sixtyeight is seventytwo, seventytwo is eleven, eleven is six, six is three, three is five, five is four, four is magic! 853,956,201 eight hundred fiftythree million , nine hundred fiftysix thousand , two hundred one is eightyfive, eightyfive is eleven, eleven is six, six is three, three is five, five is four, four is magic! 2,736,452,849 two billion , seven hundred thirtysix million , four hundred fiftytwo thousand , eight hundred fortynine is one hundred seven, one hundred seven is seventeen, seventeen is nine, nine is four, four is magic! 94,837,286,837 ninetyfour billion , eight hundred thirtyseven million , two hundred eightysix thousand , eight hundred thirtyseven is one hundred nineteen, one hundred nineteen is twenty, twenty is six, six is three, three is five, five is four, four is magic! 636,478,294,710 six hundred thirtysix billion , four hundred seventyeight million , two hundred ninetyfour thousand , seven hundred ten is one hundred twentytwo, one hundred twentytwo is twentytwo, twentytwo is ten, ten is three, three is five, five is four, four is magic!
AWK[edit]
# syntax: GAWK f FOUR_IS_MAGIC.AWK
BEGIN {
init_numtowords()
n = split("1 0 1 2 3 4 5 6 7 8 9 11 21 1995 1000000 1234567890 1100100100100",arr," ")
for (i=1; i<=n; i++) {
a = arr[i]
printf("%s: ",a)
do {
if (a == 4) {
break
}
a = numtowords(a)
b = numtowords(length(a))
printf("%s is %s, ",a,b)
a = length(a)
} while (b !~ /^four$/)
printf("four is magic.\n")
}
exit(0)
}
# source: The AWK Programming Language, page 75
function numtowords(n, minus,str) {
if (n < 0) {
n = n * 1
minus = "minus "
}
if (n == 0) {
str = "zero"
}
else {
str = intowords(n)
}
gsub(/ /," ",str)
gsub(/ $/,"",str)
return(minus str)
}
function intowords(n) {
n = int(n)
if (n >= 1000000000000) {
return intowords(n/1000000000000) " trillion " intowords(n%1000000000000)
}
if (n >= 1000000000) {
return intowords(n/1000000000) " billion " intowords(n%1000000000)
}
if (n >= 1000000) {
return intowords(n/1000000) " million " intowords(n%1000000)
}
if (n >= 1000) {
return intowords(n/1000) " thousand " intowords(n%1000)
}
if (n >= 100) {
return intowords(n/100) " hundred " intowords(n%100)
}
if (n >= 20) {
return tens[int(n/10)] " " intowords(n%10)
}
return(nums[n])
}
function init_numtowords() {
split("one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen",nums," ")
split("ten twenty thirty forty fifty sixty seventy eighty ninety",tens," ")
}
 Output:
1: minus one is nine, nine is four, four is magic. 0: zero is four, four is magic. 1: one is three, three is five, five is four, four is magic. 2: two is three, three is five, five is four, four is magic. 3: three is five, five is four, four is magic. 4: four is magic. 5: five is four, four is magic. 6: six is three, three is five, five is four, four is magic. 7: seven is five, five is four, four is magic. 8: eight is five, five is four, four is magic. 9: nine is four, four is magic. 11: eleven is six, six is three, three is five, five is four, four is magic. 21: twenty one is ten, ten is three, three is five, five is four, four is magic. 1995: one thousand nine hundred ninety five is thirty seven, thirty seven is twelve, twelve is six, six is three, three is five, five is four, four is magic. 1000000: one million is eleven, eleven is six, six is three, three is five, five is four, four is magic. 1234567890: one billion two hundred thirty four million five hundred sixty seven thousand eight hundred ninety is ninety eight, ninety eight is twelve, twelve is six, six is three, three is five, five is four, four is magic. 1100100100100: one trillion one hundred billion one hundred million one hundred thousand one hundred is eighty five, eighty five is eleven, eleven is six, six is three, three is five, five is four, four is magic.
C[edit]
#include <stdint.h>
#include <stdio.h>
#include <glib.h>
typedef struct named_number_tag {
const char* name;
uint64_t number;
} named_number;
const named_number named_numbers[] = {
{ "hundred", 100 },
{ "thousand", 1000 },
{ "million", 1000000 },
{ "billion", 1000000000 },
{ "trillion", 1000000000000 },
{ "quadrillion", 1000000000000000ULL },
{ "quintillion", 1000000000000000000ULL }
};
const named_number* get_named_number(uint64_t n) {
const size_t names_len = sizeof(named_numbers)/sizeof(named_number);
for (size_t i = 0; i + 1 < names_len; ++i) {
if (n < named_numbers[i + 1].number)
return &named_numbers[i];
}
return &named_numbers[names_len  1];
}
size_t append_number_name(GString* str, uint64_t n) {
static const char* small[] = {
"zero", "one", "two", "three", "four", "five", "six", "seven", "eight",
"nine", "ten", "eleven", "twelve", "thirteen", "fourteen", "fifteen",
"sixteen", "seventeen", "eighteen", "nineteen"
};
static const char* tens[] = {
"twenty", "thirty", "forty", "fifty", "sixty", "seventy", "eighty", "ninety"
};
size_t len = str>len;
if (n < 20) {
g_string_append(str, small[n]);
}
else if (n < 100) {
g_string_append(str, tens[n/10  2]);
if (n % 10 != 0) {
g_string_append_c(str, '');
g_string_append(str, small[n % 10]);
}
} else {
const named_number* num = get_named_number(n);
uint64_t p = num>number;
append_number_name(str, n/p);
g_string_append_c(str, ' ');
g_string_append(str, num>name);
if (n % p != 0) {
g_string_append_c(str, ' ');
append_number_name(str, n % p);
}
}
return str>len  len;
}
GString* magic(uint64_t n) {
GString* str = g_string_new(NULL);
for (unsigned int i = 0; ; ++i) {
size_t count = append_number_name(str, n);
if (i == 0)
str>str[0] = g_ascii_toupper(str>str[0]);
if (n == 4) {
g_string_append(str, " is magic.");
break;
}
g_string_append(str, " is ");
append_number_name(str, count);
g_string_append(str, ", ");
n = count;
}
return str;
}
void test_magic(uint64_t n) {
GString* str = magic(n);
printf("%s\n", str>str);
g_string_free(str, TRUE);
}
int main() {
test_magic(5);
test_magic(13);
test_magic(78);
test_magic(797);
test_magic(2739);
test_magic(4000);
test_magic(7893);
test_magic(93497412);
test_magic(2673497412U);
test_magic(10344658531277200972ULL);
return 0;
}
 Output:
Five is four, four is magic. Thirteen is eight, eight is five, five is four, four is magic. Seventyeight is thirteen, thirteen is eight, eight is five, five is four, four is magic. Seven hundred ninetyseven is twentysix, twentysix is ten, ten is three, three is five, five is four, four is magic. Two thousand seven hundred thirtynine is thirtyeight, thirtyeight is twelve, twelve is six, six is three, three is five, five is four, four is magic. Four thousand is thirteen, thirteen is eight, eight is five, five is four, four is magic. Seven thousand eight hundred ninetythree is fortyone, fortyone is nine, nine is four, four is magic. Ninetythree million four hundred ninetyseven thousand four hundred twelve is seventyfive, seventyfive is twelve, twelve is six, six is three, three is five, five is four, four is magic. Two billion six hundred seventythree million four hundred ninetyseven thousand four hundred twelve is one hundred, one hundred is eleven, eleven is six, six is three, three is five, five is four, four is magic. Ten quintillion three hundred fortyfour quadrillion six hundred fiftyeight trillion five hundred thirtyone billion two hundred seventyseven million two hundred thousand nine hundred seventytwo is one hundred ninetyseven, one hundred ninetyseven is twentyfour, twentyfour is eleven, eleven is six, six is three, three is five, five is four, four is magic.
C++[edit]
Negative numbers are not supported.
#include <iostream>
#include <string>
#include <cctype>
#include <cstdint>
typedef std::uint64_t integer;
const char* small[] = {
"zero", "one", "two", "three", "four", "five", "six", "seven", "eight",
"nine", "ten", "eleven", "twelve", "thirteen", "fourteen", "fifteen",
"sixteen", "seventeen", "eighteen", "nineteen"
};
const char* tens[] = {
"twenty", "thirty", "forty", "fifty", "sixty", "seventy", "eighty", "ninety"
};
struct named_number {
const char* name_;
integer number_;
};
const named_number named_numbers[] = {
{ "hundred", 100 },
{ "thousand", 1000 },
{ "million", 1000000 },
{ "billion", 1000000000 },
{ "trillion", 1000000000000 },
{ "quadrillion", 1000000000000000ULL },
{ "quintillion", 1000000000000000000ULL }
};
const named_number& get_named_number(integer n) {
constexpr size_t names_len = std::size(named_numbers);
for (size_t i = 0; i + 1 < names_len; ++i) {
if (n < named_numbers[i + 1].number_)
return named_numbers[i];
}
return named_numbers[names_len  1];
}
std::string cardinal(integer n) {
std::string result;
if (n < 20)
result = small[n];
else if (n < 100) {
result = tens[n/10  2];
if (n % 10 != 0) {
result += "";
result += small[n % 10];
}
} else {
const named_number& num = get_named_number(n);
integer p = num.number_;
result = cardinal(n/p);
result += " ";
result += num.name_;
if (n % p != 0) {
result += " ";
result += cardinal(n % p);
}
}
return result;
}
inline char uppercase(char ch) {
return static_cast<char>(std::toupper(static_cast<unsigned char>(ch)));
}
std::string magic(integer n) {
std::string result;
for (unsigned int i = 0; ; ++i) {
std::string text(cardinal(n));
if (i == 0)
text[0] = uppercase(text[0]);
result += text;
if (n == 4) {
result += " is magic.";
break;
}
integer len = text.length();
result += " is ";
result += cardinal(len);
result += ", ";
n = len;
}
return result;
}
void test_magic(integer n) {
std::cout << magic(n) << '\n';
}
int main() {
test_magic(5);
test_magic(13);
test_magic(78);
test_magic(797);
test_magic(2739);
test_magic(4000);
test_magic(7893);
test_magic(93497412);
test_magic(2673497412U);
test_magic(10344658531277200972ULL);
return 0;
}
 Output:
Five is four, four is magic. Thirteen is eight, eight is five, five is four, four is magic. Seventyeight is thirteen, thirteen is eight, eight is five, five is four, four is magic. Seven hundred ninetyseven is twentysix, twentysix is ten, ten is three, three is five, five is four, four is magic. Two thousand seven hundred thirtynine is thirtyeight, thirtyeight is twelve, twelve is six, six is three, three is five, five is four, four is magic. Four thousand is thirteen, thirteen is eight, eight is five, five is four, four is magic. Seven thousand eight hundred ninetythree is fortyone, fortyone is nine, nine is four, four is magic. Ninetythree million four hundred ninetyseven thousand four hundred twelve is seventyfive, seventyfive is twelve, twelve is six, six is three, three is five, five is four, four is magic. Two billion six hundred seventythree million four hundred ninetyseven thousand four hundred twelve is one hundred, one hundred is eleven, eleven is six, six is three, three is five, five is four, four is magic. Ten quintillion three hundred fortyfour quadrillion six hundred fiftyeight trillion five hundred thirtyone billion two hundred seventyseven million two hundred thousand nine hundred seventytwo is one hundred ninetyseven, one hundred ninetyseven is twentyfour, twentyfour is eleven, eleven is six, six is three, three is five, five is four, four is magic.
Common Lisp[edit]
(defun integertotext (int)
(format nil "[email protected](~A~)" (withoutputtostring (out)
(loop for n = int then (length c)
for c = (format nil "~R" n)
while (/= n 4)
do (format out "~A is ~R, " c (length c))
finally (format out "four is magic.")))))
 Output:
"One thousand twentyfour is twentyfour, twentyfour is eleven, eleven is six, six is three, three is five, five is four, four is magic."
F#[edit]
The Function[edit]
//Express an Integer in English Language. Nigel Galloway: September 19th., 2018
let fN=[["";"one";"two";"three";"four";"five";"six";"seven";"eight";"nine"];
["ten";"eleven";"twelve";"thirteen";"fourteen";"fifteen";"sixteen";"seventeen";"eighteen";"nineteen"];
["";"";"twenty";"thirty";"fourty";"fifty";"sixty";"seventy";"eighty";"ninety"]]
let rec I2α α β=match α with α when α<20 >β+fN.[α/10].[α%10]
α when α<100 >I2α (α%10) (β+fN.[2].[α/10]+if α%10>0 then " " else "")
α when α<1000 >I2α (α(α/100)*100) (β+fN.[0].[α/100]+" hunred"+if α%100>0 then " and " else "")
α when α<1000000>I2α (α%1000) (β+(I2α (α/1000) "")+" thousand"+if α%100=0 then "" else if (α(α/1000)*1000)<100 then " and " else " ")
The Task[edit]
let rec printI2α=function 0>printf "naught>"; printI2α 6
4>printfn "four is magic"
n when n<0>let g = I2α n "minus " in printf "%s>" g; printI2α (g.Length)
n >let g = I2α n "" in printf "%s>" g; printI2α (g.Length)
let N=System.Random()
List.init 25 (fun _>N.Next 999999) > List.iter printI2α
 Output:
seven hundred and fifty thousand nine hundred and eighty eight>sixty>five>four is magic nine hundred and fifty four thousand two hundred and twenty two>sixty one>nine>four is magic three hundred and seventy two thousand nine hundred and thirty one>sixty four>ten>three>five>four is magic six hundred and three thousand six hundred and eighteen>fifty three>eleven>six>three>five>four is magic two hundred and forty nine thousand three hundred and eighty eight>sixty five>ten>three>five>four is magic four hundred and sixty two thousand four hundred and ninety nine>sixty two>nine>four is magic six hundred and fifty thousand eight hundred and seventy five>fifty nine>ten>three>five>four is magic six hundred and ninety three thousand two hundred and seventy nine>sixty four>ten>three>five>four is magic one hundred and thirty three thousand four hundred and seventy six>sixty four>ten>three>five>four is magic seven hundred and thirty two thousand nine hundred and fifteen>sixty>five>four is magic seven hundred and seven thousand five hundred and forty one>fifty eight>eleven>six>three>five>four is magic twenty five thousand six hundred and two>thirty nine>eleven>six>three>five>four is magic seven hundred and sixty nine thousand two hundred and sixty four>sixty two>nine>four is magic eight hundred and ninety five thousand eight hundred and two>fifty eight>eleven>six>three>five>four is magic four hundred and eleven thousand one hundred and four>fifty one>nine>four is magic four hundred and ninety five thousand eight hundred and eighty one>sixty four>ten>three>five>four is magic six hundred and fifty six thousand one hundred and eighty seven>sixty one>nine>four is magic five hundred and twenty two thousand seven hundred and fifty>fifty eight>eleven>six>three>five>four is magic three hundred and forty four thousand and ninety two>fifty two>nine>four is magic three hundred and forty one thousand seven hundred and forty four>sixty five>ten>three>five>four is magic eight hundred and eighty four thousand two hundred and fifty>fifty eight>eleven>six>three>five>four is magic six hundred and forty thousand seven hundred and sixteen>fifty five>ten>three>five>four is magic six hundred and eight thousand three hundred and five>fifty one>nine>four is magic three hundred and ninety nine thousand two hundred and sixty eight>sixty four>ten>three>five>four is magic six hundred and ninety two thousand two hundred and seventy five>sixty two>nine>four is magic
Some particular values:
printI2α 0 > naught>six>three>five>four is magic printI2α 4 > four is magic printI2α 999999 > nine hundred and ninety nine thousand nine hundred and ninety nine>sixty four>ten>three>five>four is magic printI2α 23 > minus twenty three>eighteen>eight>five>four is magic
Factor[edit]
Factor's math.text.english
vocabulary does most of the heavy lifting. Since number>text
produces " and " and "," in its output, they are removed with a regular expression.
USING: ascii formatting io kernel make math.text.english regexp
sequences ;
IN: rosettacode.fourismagic
! Strip " and " and "," from the output of Factor's number>text
! word with a regular expression.
: number>english ( n  str )
number>text R/ and ,/ "" rereplace ;
! Return the length of the input integer's text form.
! e.g. 1 > 3
: nextlen ( n  m ) number>english length ;
! Given a starting integer, return the sequence of lengths
! terminating with 4.
! e.g. 1 > { 1 3 5 4 }
: lenchain ( n  seq )
[ [ dup 4 = ] [ dup , nextlen ] until , ] { } make ;
! Convert a nonfour number to its phrase form.
! e.g. 6 > "six is three, "
: nonfour ( n  str )
number>english dup length number>english
"%s is %s, " sprintf ;
! Convert any number to its phrase form.
! e.g. 4 > "four is magic."
: phrase ( n  str )
dup 4 = [ drop "four is magic." ] [ nonfour ] if ;
: saymagic ( n  )
lenchain [ phrase ] map concat capitalize print ;
{ 1 4 11 100 112719908181724 612312 } [ saymagic ] each
 Output:
One is three, three is five, five is four, four is magic. Four is magic. Negative eleven is fifteen, fifteen is seven, seven is five, five is four, four is magic. One hundred is eleven, eleven is six, six is three, three is five, five is four, four is magic. One hundred twelve trillion seven hundred nineteen billion nine hundred eight million one hundred eightyone thousand seven hundred twentyfour is one hundred fortythree, one hundred fortythree is twentythree, twentythree is twelve, twelve is six, six is three, three is five, five is four, four is magic. Negative six hundred twelve thousand three hundred twelve is fiftyseven, fiftyseven is eleven, eleven is six, six is three, three is five, five is four, four is magic.
Go[edit]
Uses the say
function from the
Number names task.
package main
import (
"fmt"
"math"
"strings"
)
func main() {
for _, n := range [...]int64{
0, 4, 6, 11, 13, 75, 100, 337, 164,
math.MaxInt64,
} {
fmt.Println(fourIsMagic(n))
}
}
func fourIsMagic(n int64) string {
s := say(n)
s = strings.ToUpper(s[:1]) + s[1:]
t := s
for n != 4 {
n = int64(len(s))
s = say(n)
t += " is " + s + ", " + s
}
t += " is magic."
return t
}
// Following is from https://rosettacode.org/wiki/Number_names#Go
var small = [...]string{"zero", "one", "two", "three", "four", "five", "six",
"seven", "eight", "nine", "ten", "eleven", "twelve", "thirteen",
"fourteen", "fifteen", "sixteen", "seventeen", "eighteen", "nineteen"}
var tens = [...]string{"", "", "twenty", "thirty", "forty",
"fifty", "sixty", "seventy", "eighty", "ninety"}
var illions = [...]string{"", " thousand", " million", " billion",
" trillion", " quadrillion", " quintillion"}
func say(n int64) string {
var t string
if n < 0 {
t = "negative "
// Note, for math.MinInt64 this leaves n negative.
n = n
}
switch {
case n < 20:
t += small[n]
case n < 100:
t += tens[n/10]
s := n % 10
if s > 0 {
t += "" + small[s]
}
case n < 1000:
t += small[n/100] + " hundred"
s := n % 100
if s > 0 {
t += " " + say(s)
}
default:
// work righttoleft
sx := ""
for i := 0; n > 0; i++ {
p := n % 1000
n /= 1000
if p > 0 {
ix := say(p) + illions[i]
if sx != "" {
ix += " " + sx
}
sx = ix
}
}
t += sx
}
return t
}
 Output:
Zero is four, four is magic. Four is magic. Six is three, three is five, five is four, four is magic. Eleven is six, six is three, three is five, five is four, four is magic. Thirteen is eight, eight is five, five is four, four is magic. Seventyfive is twelve, twelve is six, six is three, three is five, five is four, four is magic. One hundred is eleven, eleven is six, six is three, three is five, five is four, four is magic. Three hundred thirtyseven is twentysix, twentysix is ten, ten is three, three is five, five is four, four is magic. Negative one hundred sixtyfour is thirtyone, thirtyone is ten, ten is three, three is five, five is four, four is magic. Nine quintillion two hundred twentythree quadrillion three hundred seventytwo trillion thirtysix billion eight hundred fiftyfour million seven hundred seventyfive thousand eight hundred seven is one hundred ninetysix, one hundred ninetysix is twentytwo, twentytwo is ten, ten is three, three is five, five is four, four is magic.
J[edit]
names =. 'one';'two';'three';'four';'five';'six';'seven';'eight';'nine';'ten';'eleven';'twelve';'thirteen';'fourteen';'fifteen';'sixteen';'seventeen';'eighteen';'nineteen'
tens =. '';'twenty';'thirty';'forty';'fifty';'sixty';'seventy';'eighty';'ninety'
NB. selects the xth element from list y
lookup =: >@{:@{.
NB. string formatting
addspace =: ((' '"_, ]) ` ]) @. (<&0 @ {: @ $)
NB. numbers in range 1 to 19
s1 =: lookup&names
NB. numbers in range 20 to 99
s2d=: (lookup&tens @ <. @ %&10) , addspace @ (s1 @ (10&))
NB. numbers in range 100 to 999
s3d =: s1 @ (<[email protected]%&100), ' hundred', addspace @ s2d @ (100&)
NB. numbers in range 1 to 999
s123d =: s1 ` s2d ` s3d @. (>& 19 + >&99)
NB. numbers in range 1000 to 999999
s456d =: (s123d @<[email protected]%&1000), ' thousand', addspace @ s123d @ (1000&)
NB. stringify numbers in range 1 to 999999
stringify =: s123d ` s456d @. (>&999)
NB. takes an int and returns an int of the length of the string of the input
lengthify =: {: @ $ @ stringify
NB. determines the string that should go after ' is '
what =: ((stringify @ lengthify), (', '"_)) ` ('magic'"_) @. (=&4)
runonce =: stringify , ' is ', what
run =: runonce, ((run @ lengthify) ` (''"_) @. (=&4))
doall =: run"0
inputs =: 4 8 16 25 89 365 2586 25865 369854
doall inputs
 Output:
four is magic eight is five, five is four, four is magic sixteen is seven, seven is five, five is four, four is magic twenty five is eleven, eleven is six, six is three, three is five, five is four, four is magic eighty nine is eleven, eleven is six, six is three, three is five, five is four, four is magic three hundred sixty five is twenty four, twenty four is eleven, eleven is six, six is three, three is five, five is four, four is magic two thousand five hundred eighty six is thirty six, thirty six is ten, ten is three, three is five, five is four, four is magic twenty five thousand eight hundred sixty five is forty five, forty five is ten, ten is three, three is five, five is four, four is magic three hundred sixty nine thousand eight hundred fifty four is fifty eight, fifty eight is eleven, eleven is six, six is three, three is five, five is four, four is magic
Java[edit]
public class FourIsMagic {
public static void main(String[] args) {
for ( long n : new long[] {6, 60, 89, 300, 670, 2000, 2467, 20000, 24500,200000, 230000, 246571, 2300000, 2465712, 20000000, 24657123, 230000000, 245000000, 246570000, 123456789712345l, 8777777777777777777L, Long.MAX_VALUE}) {
String magic = fourIsMagic(n);
System.out.printf("%d = %s%n", n, toSentence(magic));
}
}
private static final String toSentence(String s) {
return s.substring(0,1).toUpperCase() + s.substring(1) + ".";
}
private static final String[] nums = new String[] {
"zero", "one", "two", "three", "four", "five", "six", "seven", "eight", "nine",
"ten", "eleven", "twelve", "thirteen", "fourteen", "fifteen", "sixteen", "seventeen", "eighteen", "nineteen"
};
private static final String[] tens = new String[] {"zero", "ten", "twenty", "thirty", "forty", "fifty", "sixty", "seventy", "eighty", "ninety"};
private static final String fourIsMagic(long n) {
if ( n == 4 ) {
return numToString(n) + " is magic";
}
String result = numToString(n);
return result + " is " + numToString(result.length()) + ", " + fourIsMagic(result.length());
}
private static final String numToString(long n) {
if ( n < 0 ) {
return "negative " + numToString(n);
}
int index = (int) n;
if ( n <= 19 ) {
return nums[index];
}
if ( n <= 99 ) {
return tens[index/10] + (n % 10 > 0 ? " " + numToString(n % 10) : "");
}
String label = null;
long factor = 0;
if ( n <= 999 ) {
label = "hundred";
factor = 100;
}
else if ( n <= 999999) {
label = "thousand";
factor = 1000;
}
else if ( n <= 999999999) {
label = "million";
factor = 1000000;
}
else if ( n <= 999999999999L) {
label = "billion";
factor = 1000000000;
}
else if ( n <= 999999999999999L) {
label = "trillion";
factor = 1000000000000L;
}
else if ( n <= 999999999999999999L) {
label = "quadrillion";
factor = 1000000000000000L;
}
else {
label = "quintillion";
factor = 1000000000000000000L;
}
return numToString(n / factor) + " " + label + (n % factor > 0 ? " " + numToString(n % factor ) : "");
}
}
 Output:
6 = Six is three, three is five, five is four, four is magic. 60 = Sixty is five, five is four, four is magic. 89 = Eighty nine is eleven, eleven is six, six is three, three is five, five is four, four is magic. 300 = Three hundred is thirteen, thirteen is eight, eight is five, five is four, four is magic. 670 = Six hundred seventy is nineteen, nineteen is eight, eight is five, five is four, four is magic. 2000 = Two thousand is twelve, twelve is six, six is three, three is five, five is four, four is magic. 2467 = Two thousand four hundred sixty seven is thirty seven, thirty seven is twelve, twelve is six, six is three, three is five, five is four, four is magic. 20000 = Twenty thousand is fifteen, fifteen is seven, seven is five, five is four, four is magic. 24500 = Twenty four thousand five hundred is thirty three, thirty three is twelve, twelve is six, six is three, three is five, five is four, four is magic. 200000 = Two hundred thousand is twenty, twenty is six, six is three, three is five, five is four, four is magic. 230000 = Two hundred thirty thousand is twenty seven, twenty seven is twelve, twelve is six, six is three, three is five, five is four, four is magic. 246571 = Two hundred forty six thousand five hundred seventy one is fifty five, fifty five is ten, ten is three, three is five, five is four, four is magic. 2300000 = Two million three hundred thousand is thirty four, thirty four is eleven, eleven is six, six is three, three is five, five is four, four is magic. 2465712 = Two million four hundred sixty five thousand seven hundred twelve is sixty five, sixty five is ten, ten is three, three is five, five is four, four is magic. 20000000 = Twenty million is fourteen, fourteen is eight, eight is five, five is four, four is magic. 24657123 = Twenty four million six hundred fifty seven thousand one hundred twenty three is seventy seven, seventy seven is thirteen, thirteen is eight, eight is five, five is four, four is magic. 230000000 = Two hundred thirty million is twenty six, twenty six is ten, ten is three, three is five, five is four, four is magic. 245000000 = Two hundred forty five million is thirty, thirty is six, six is three, three is five, five is four, four is magic. 246570000 = Negative two hundred forty six million five hundred seventy thousand is sixty eight, sixty eight is eleven, eleven is six, six is three, three is five, five is four, four is magic. 123456789712345 = One hundred twenty three trillion four hundred fifty six billion seven hundred eighty nine million seven hundred twelve thousand three hundred forty five is one hundred fifty three, one hundred fifty three is twenty three, twenty three is twelve, twelve is six, six is three, three is five, five is four, four is magic. 8777777777777777777 = Eight quintillion seven hundred seventy seven quadrillion seven hundred seventy seven trillion seven hundred seventy seven billion seven hundred seventy seven million seven hundred seventy seven thousand seven hundred seventy seven is two hundred thirty one, two hundred thirty one is twenty two, twenty two is ten, ten is three, three is five, five is four, four is magic. 9223372036854775807 = Nine quintillion two hundred twenty three quadrillion three hundred seventy two trillion thirty six billion eight hundred fifty four million seven hundred seventy five thousand eight hundred seven is one hundred ninety six, one hundred ninety six is twenty two, twenty two is ten, ten is three, three is five, five is four, four is magic.
JavaScript[edit]
Utilizing the new BigInt type (added in ECMAScript 2019), and akin to the Python example, this implementation supports numbers as high as at least 10^3003, and could support even higher values by adding items to the dictionary.
To test whether a particular JavaScript interpreter implements BigInt
, we can evaluate a boolean expression like:
Object.getOwnPropertyNames(this).includes('BigInt')
const reverseOrderedNumberToTextMap = (function () {
const rawNumberToTextMapping = { // Ported over from the Python solution.
[1n]: "one",
[2n]: "two",
[3n]: "three",
[4n]: "four",
[5n]: "five",
[6n]: "six",
[7n]: "seven",
[8n]: "eight",
[9n]: "nine",
[10n]: "ten",
[11n]: "eleven",
[12n]: "twelve",
[13n]: "thirteen",
[14n]: "fourteen",
[15n]: "fifteen",
[16n]: "sixteen",
[17n]: "seventeen",
[18n]: "eighteen",
[19n]: "nineteen",
[20n]: "twenty",
[30n]: "thirty",
[40n]: "forty",
[50n]: "fifty",
[60n]: "sixty",
[70n]: "seventy",
[80n]: "eighty",
[90n]: "ninety",
[100n]: "hundred",
[1000n]: "thousand",
[10n ** 6n]: "million",
[10n ** 9n]: "billion",
[10n ** 12n]: "trillion",
[10n ** 15n]: "quadrillion",
[10n ** 18n]: "quintillion",
[10n ** 21n]: "sextillion",
[10n ** 24n]: "septillion",
[10n ** 27n]: "octillion",
[10n ** 30n]: "nonillion",
[10n ** 33n]: "decillion",
[10n ** 36n]: "undecillion",
[10n ** 39n]: "duodecillion",
[10n ** 42n]: "tredecillion",
[10n ** 45n]: "quattuordecillion",
[10n ** 48n]: "quinquadecillion",
[10n ** 51n]: "sedecillion",
[10n ** 54n]: "septendecillion",
[10n ** 57n]: "octodecillion",
[10n ** 60n]: "novendecillion",
[10n ** 63n]: "vigintillion",
[10n ** 66n]: "unvigintillion",
[10n ** 69n]: "duovigintillion",
[10n ** 72n]: "tresvigintillion",
[10n ** 75n]: "quattuorvigintillion",
[10n ** 78n]: "quinquavigintillion",
[10n ** 81n]: "sesvigintillion",
[10n ** 84n]: "septemvigintillion",
[10n ** 87n]: "octovigintillion",
[10n ** 90n]: "novemvigintillion",
[10n ** 93n]: "trigintillion",
[10n ** 96n]: "untrigintillion",
[10n ** 99n]: "duotrigintillion",
[10n ** 102n]: "trestrigintillion",
[10n ** 105n]: "quattuortrigintillion",
[10n ** 108n]: "quinquatrigintillion",
[10n ** 111n]: "sestrigintillion",
[10n ** 114n]: "septentrigintillion",
[10n ** 117n]: "octotrigintillion",
[10n ** 120n]: "noventrigintillion",
[10n ** 123n]: "quadragintillion",
[10n ** 153n]: "quinquagintillion",
[10n ** 183n]: "sexagintillion",
[10n ** 213n]: "septuagintillion",
[10n ** 243n]: "octogintillion",
[10n ** 273n]: "nonagintillion",
[10n ** 303n]: "centillion",
[10n ** 306n]: "uncentillion",
[10n ** 309n]: "duocentillion",
[10n ** 312n]: "trescentillion",
[10n ** 333n]: "decicentillion",
[10n ** 336n]: "undecicentillion",
[10n ** 363n]: "viginticentillion",
[10n ** 366n]: "unviginticentillion",
[10n ** 393n]: "trigintacentillion",
[10n ** 423n]: "quadragintacentillion",
[10n ** 453n]: "quinquagintacentillion",
[10n ** 483n]: "sexagintacentillion",
[10n ** 513n]: "septuagintacentillion",
[10n ** 543n]: "octogintacentillion",
[10n ** 573n]: "nonagintacentillion",
[10n ** 603n]: "ducentillion",
[10n ** 903n]: "trecentillion",
[10n ** 1203n]: "quadringentillion",
[10n ** 1503n]: "quingentillion",
[10n ** 1803n]: "sescentillion",
[10n ** 2103n]: "septingentillion",
[10n ** 2403n]: "octingentillion",
[10n ** 2703n]: "nongentillion",
[10n ** 3003n]: "millinillion"
};
return new Map(Object.entries(rawNumberToTextMapping)
.sort((a, b) => BigInt(a[0]) > BigInt(b[0]) ? 1 : 1)
.map(numberAndText => [BigInt(numberAndText[0]), numberAndText[1]]));
})();
function getCardinalRepresentation(number)
{
if (number == 0n)
{
return "zero";
}
function* generateCardinalRepresentationTokens(number)
{
if (number <= 0n)
{
yield "negative";
number *= 1n;
}
for (const [currentEntryNumber, currentEntryText] of reverseOrderedNumberToTextMap.entries())
{
if (number >= currentEntryNumber)
{
if (currentEntryNumber >= 100n)
{
yield* generateCardinalRepresentationTokens(number / currentEntryNumber);
}
yield currentEntryText;
number = currentEntryNumber;
}
}
}
return [...generateCardinalRepresentationTokens(number)].join(" ");
}
function* generateFourIsMagicParts(number)
{
if (typeof number != "bigint")
{
number = BigInt(number);
}
if (number == 4n)
{
yield "four is magic";
}
else
{
const cardinalRepresentation = getCardinalRepresentation(number);
yield `${cardinalRepresentation} is ${getCardinalRepresentation(BigInt(cardinalRepresentation.length))}`;
yield* generateFourIsMagicParts(cardinalRepresentation.length);
}
}
function capitalizeFirstLetter(str)
{
return str.replace(/^([az])/, chr => chr.toUpperCase());
}
function fourIsMagic(number)
{
return capitalizeFirstLetter(`${[...generateFourIsMagicParts(number)].join(", ")}.`);
}
[
0,
150,
210,
10n ** 2703n + 1225n,
4,
4,
10n ** 3003n + 42n
].map(fourIsMagic).join("\n\n");
 Output:
Zero is four, four is magic. Negative one hundred fifty is twenty six, twenty six is ten, ten is three, three is five, five is four, four is magic. Two hundred ninety twenty is twenty five, twenty five is eleven, eleven is six, six is three, three is five, five is four, four is magic. One nongentillion one thousand two hundred ninety thirty five is sixty one, sixty one is nine, nine is four, four is magic. Four is magic. Negative four is thirteen, thirteen is eight, eight is five, five is four, four is magic. One millinillion forty two is twenty six, twenty six is ten, ten is three, three is five, five is four, four is magic.
Julia[edit]
# The num2text routines are from the "Number names" task, updated for Julia 1.0
const stext = ["one", "two", "three", "four", "five",
"six", "seven", "eight", "nine"]
const teentext = ["eleven", "twelve", "thirteen", "fourteen",
"fifteen", "sixteen", "seventeen",
"eighteen", "nineteen"]
const tenstext = ["ten", "twenty", "thirty", "forty", "fifty",
"sixty", "seventy", "eighty", "ninety"]
const ordstext = ["million", "billion", "trillion",
"quadrillion", "quintillion", "sextillion",
"septillion", "octillion", "nonillion",
"decillion", "undecillion", "duodecillion",
"tredecillion", "quattuordecillion", "quindecillion",
"sexdecillion", "septendecillion", "octodecillion",
"novemdecillion", "vigintillion"]
function normalize_digits!(a)
while 0 < length(a) && a[end] == 0
pop!(a)
end
return length(a)
end
function digits2text!(d, use_short_scale=true)
ndig = normalize_digits!(d)
0 < ndig  return ""
if ndig < 7
s = ""
if 3 < ndig
t = digits2text!(d[1:3])
s = digits2text!(d[4:end])*" thousand"
0 < length(t)  return s
if occursin("and", t)
return s*" "*t
else
return s*" and "*t
end
end
if ndig == 3
s *= stext[pop!(d)]*" hundred"
ndig = normalize_digits!(d)
0 < ndig  return s
s *= " and "
end
1 < ndig  return s*stext[pop!(d)]
j, i = d
j != 0  return s*tenstext[i]
i != 1  return s*teentext[j]
return s*tenstext[i]*""*stext[j]
end
s = digits2text!(d[1:6])
d = d[7:end]
dgrp = use_short_scale ? 3 : 6
ord = 0
while(dgrp < length(d))
ord += 1
t = digits2text!(d[1:dgrp])
d = d[(dgrp+1):end]
0 < length(t)  continue
t = t*" "*ordstext[ord]
if length(s) == 0
s = t
else
s = t*" "*s
end
end
ord += 1
t = digits2text!(d)*" "*ordstext[ord]
0 < length(s)  return t
return t*" "*s
end
function num2text(n, use_short_scale=true)
1 < n  return "minus "*num2text(n, use_short_scale)
0 < n  return "zero"
toobig = use_short_scale ? big(10)^66 : big(10)^126
n < toobig  return "too big to say"
return digits2text!(digits(n, base=10), use_short_scale)
end
function magic(n)
str = uppercasefirst(num2text(n))
n = length(str)
while true
numtext = num2text(n)
str *= " is " * numtext
if numtext == "four"
break
end
str *= ", " * numtext
n = length(numtext)
end
println(str[1:7] == "Four is" ? "Four is magic." : "$str, four is magic.")
end
for n in [0, 4, 6, 11, 13, 75, 337, 164, 9_876_543_209]
magic(n)
end
 Output:
Zero is four, four is magic. Four is magic. Six is three, three is five, five is four, four is magic. Eleven is six, six is three, three is five, five is four, four is magic. Thirteen is eight, eight is five, five is four, four is magic. Seventyfive is twelve, twelve is six, six is three, three is five, five is four, four is magic. Three hundred and thirtyseven is thirty, thirty is six, six is three, three is five, five is four, four is magic. Minus one hundred and sixtyfour is thirtytwo, thirtytwo is ten, ten is three, three is five, five is four, four is magic. Nine billion eight hundred and seventysix million five hundred and fortythree thousand two hundred and nine is one hundred and nine, one hundred and nine is twenty, twenty is six, six is three, three is five, five is four, four is magic.
Kotlin[edit]
This uses the code I wrote for the Number names task, appropriately adjusted to deal with this task. Input is limited to signed 64 bit integers as Kotlin doesn't currently support unsigned types.
// version 1.1.43
val names = mapOf(
1 to "one",
2 to "two",
3 to "three",
4 to "four",
5 to "five",
6 to "six",
7 to "seven",
8 to "eight",
9 to "nine",
10 to "ten",
11 to "eleven",
12 to "twelve",
13 to "thirteen",
14 to "fourteen",
15 to "fifteen",
16 to "sixteen",
17 to "seventeen",
18 to "eighteen",
19 to "nineteen",
20 to "twenty",
30 to "thirty",
40 to "forty",
50 to "fifty",
60 to "sixty",
70 to "seventy",
80 to "eighty",
90 to "ninety"
)
val bigNames = mapOf(
1_000L to "thousand",
1_000_000L to "million",
1_000_000_000L to "billion",
1_000_000_000_000L to "trillion",
1_000_000_000_000_000L to "quadrillion",
1_000_000_000_000_000_000L to "quintillion"
)
fun numToText(n: Long): String {
if (n == 0L) return "zero"
val neg = n < 0L
val maxNeg = n == Long.MIN_VALUE
var nn = if (maxNeg) (n + 1) else if (neg) n else n
val digits3 = IntArray(7)
for (i in 0..6) { // split number into groups of 3 digits from the right
digits3[i] = (nn % 1000).toInt()
nn /= 1000
}
fun threeDigitsToText(number: Int) : String {
val sb = StringBuilder()
if (number == 0) return ""
val hundreds = number / 100
val remainder = number % 100
if (hundreds > 0) {
sb.append(names[hundreds], " hundred")
if (remainder > 0) sb.append(" ")
}
if (remainder > 0) {
val tens = remainder / 10
val units = remainder % 10
if (tens > 1) {
sb.append(names[tens * 10])
if (units > 0) sb.append("", names[units])
}
else sb.append(names[remainder])
}
return sb.toString()
}
val strings = Array<String>(7) { threeDigitsToText(digits3[it]) }
var text = strings[0]
var big = 1000L
for (i in 1..6) {
if (digits3[i] > 0) {
var text2 = strings[i] + " " + bigNames[big]
if (text.length > 0) text2 += " "
text = text2 + text
}
big *= 1000
}
if (maxNeg) text = text.dropLast(5) + "eight"
if (neg) text = "negative " + text
return text
}
fun fourIsMagic(n: Long): String {
if (n == 4L) return "Four is magic."
var text = numToText(n).capitalize()
val sb = StringBuilder()
while (true) {
val len = text.length.toLong()
if (len == 4L) return sb.append("$text is four, four is magic.").toString()
val text2 = numToText(len)
sb.append("$text is $text2, ")
text = text2
}
}
fun main(args: Array<String>) {
val la = longArrayOf(0, 4, 6, 11, 13, 75, 100, 337, 164, 9_223_372_036_854_775_807L)
for (i in la) {
println(fourIsMagic(i))
println()
}
}
 Output:
Zero is four, four is magic. Four is magic. Six is three, three is five, five is four, four is magic. Eleven is six, six is three, three is five, five is four, four is magic. Thirteen is eight, eight is five, five is four, four is magic. Seventyfive is twelve, twelve is six, six is three, three is five, five is four, four is magic. One hundred is eleven, eleven is six, six is three, three is five, five is four, four is magic. Three hundred thirtyseven is twentysix, twentysix is ten, ten is three, three is five, five is four, four is magic. Negative one hundred sixtyfour is thirtyone, thirtyone is ten, ten is three, three is five, five is four, four is magic. Nine quintillion two hundred twentythree quadrillion three hundred seventytwo trillion thirtysix billion eight hundred fiftyfour million seven hundred seventyfive thousand eight hundred seven is one hundred ninetysix, one hundred ninetysix is twentytwo, twentytwo is ten, ten is three, three is five, five is four, four is magic.
Lua[edit]
 Four is magic, in Lua, 6/16/2020 db
local oneslist = { [0]="", "one", "two", "three", "four", "five", "six", "seven", "eight", "nine" }
local teenlist = { [0]="ten", "eleven", "twelve", "thirteen", "fourteen", "fifteen", "sixteen", "seventeen", "eighteen", "nineteen" }
local tenslist = { [0]="", "", "twenty", "thirty", "forty", "fifty", "sixty", "seventy", "eighty", "ninety" }
local lionlist = { [0]="", "thousand", "million", "billion", "trillion", "quadrillion", "quintillion", "sextillion", "septillion", "octillion", "nonillion", "decillion" }
local abs, floor = math.abs, math.floor
local function numname(num)
if (num == 0) then return "zero" end
local absnum, lion, result = abs(num), 0, ""
local function dashed(s) return s=="" and s or ""..s end
local function spaced(s) return s=="" and s or " "..s end
while (absnum > 0) do
local word, ones, tens, huns = "", absnum%10, floor(absnum/10)%10, floor(absnum/100)%10
if (tens==0) then word = oneslist[ones]
elseif (tens==1) then word = teenlist[ones]
else word = tenslist[tens] .. dashed(oneslist[ones]) end
if (huns > 0) then word = oneslist[huns] .. " hundred" .. spaced(word) end
if (word ~= "") then result = word .. spaced(lionlist[lion]) .. spaced(result) end
absnum = floor(absnum / 1000)
lion = lion + 1
end
if (num < 0) then result = "negative " .. result end
return result
end
local function fourismagic(num)
local function fim(num)
local name = numname(num)
if (num == 4) then
return name .. " is magic."
else
local what = numname(#name)
return name .. " is " .. what .. ", " .. fim(#name)
end
end
local result = fim(num):gsub("^%l", string.upper)
return result
end
local numbers = { 21,1, 0,1,2,3,4,5,6,7,8,9, 12,34,123,456,1024,1234,12345,123456,1010101 }
for _, num in ipairs(numbers) do
print(num, fourismagic(num))
end
 Output:
21 Negative twentyone is nineteen, nineteen is eight, eight is five, five is four, four is magic. 1 Negative one is twelve, twelve is six, six is three, three is five, five is four, four is magic. 0 Zero is four, four is magic. 1 One is three, three is five, five is four, four is magic. 2 Two is three, three is five, five is four, four is magic. 3 Three is five, five is four, four is magic. 4 Four is magic. 5 Five is four, four is magic. 6 Six is three, three is five, five is four, four is magic. 7 Seven is five, five is four, four is magic. 8 Eight is five, five is four, four is magic. 9 Nine is four, four is magic. 12 Twelve is six, six is three, three is five, five is four, four is magic. 34 Thirtyfour is eleven, eleven is six, six is three, three is five, five is four, four is magic. 123 One hundred twentythree is twentyfour, twentyfour is eleven, eleven is six, six is three, three is five, five is four, four is magic. 456 Four hundred fiftysix is twentytwo, twentytwo is ten, ten is three, three is five, five is four, four is magic. 1024 One thousand twentyfour is twentyfour, twentyfour is eleven, eleven is six, six is three, three is five, five is four, four is magic. 1234 One thousand two hundred thirtyfour is thirtysix, thirtysix is ten, ten is three, three is five, five is four, four is magic. 12345 Twelve thousand three hundred fortyfive is forty, forty is five, five is four, four is magic. 123456 One hundred twentythree thousand four hundred fiftysix is fiftysix, fiftysix is nine, nine is four, four is magic. 1010101 One million ten thousand one hundred one is forty, forty is five, five is four, four is magic.
Perl[edit]
use Lingua::EN::Numbers qw(num2en);
sub cardinal {
my($n) = @_;
(my $en = num2en($n)) =~ s/\ and,//g;
$en;
}
sub magic {
my($int) = @_;
my $str;
while () {
$str .= cardinal($int) . " is ";
if ($int == 4) {
$str .= "magic.\n";
last
} else {
$int = length cardinal($int);
$str .= cardinal($int) . ", ";
}
}
ucfirst $str;
}
print magic($_) for 0, 4, 6, 11, 13, 75, 337, 164, 9_876_543_209;
 Output:
Zero is four, four is magic. Four is magic. Six is three, three is five, five is four, four is magic. Eleven is six, six is three, three is five, five is four, four is magic. Thirteen is eight, eight is five, five is four, four is magic. Seventyfive is twelve, twelve is six, six is three, three is five, five is four, four is magic. Three hundred thirtyseven is twentysix, twentysix is ten, ten is three, three is five, five is four, four is magic. Negative one hundred sixtyfour is thirtyone, thirtyone is ten, ten is three, three is five, five is four, four is magic. Nine billion eight hundred seventysix million five hundred fortythree thousand two hundred nine is ninetyseven, ninetyseven is twelve, twelve is six, six is three, three is five, five is four, four is magic.
Phix[edit]
Note that on 32bit Phix integers/atoms are only accurate to 9,007,199,254,740,992 (a hardware limit of 64bit floating point registers) so if you need more than that this will need to be reworked to use bigatoms.
<adapted from demo\rosetta\number_names.exw, which alas outputs ",", "and", uses "minus" instead of "negative", etc...>
constant twenties = {"zero","one","two","three","four","five","six","seven","eight","nine","ten",
"eleven","twelve","thirteen","fourteen","fifteen","sixteen","seventeen","eighteen","nineteen"},
decades = {"twenty","thirty","forty","fifty","sixty","seventy","eighty","ninety"}
function hundred(integer n)
if n<20 then
return twenties[mod(n,20)+1]
elsif mod(n,10)=0 then
return decades[mod(floor(n/10),10)1]
end if
return decades[mod(floor(n/10),10)1] & '' & twenties[mod(n,10)+1]
end function
function thousand(integer n)
if n<100 then
return hundred(n)
elsif mod(n,100)=0 then
return twenties[mod(floor(n/100),20)+1]&" hundred"
end if
return twenties[mod(floor(n/100),20)+1] & " hundred " & hundred(mod(n,100))
end function
constant orders = {{power(10,12),"trillion"},
{power(10,9),"billion"},
{power(10,6),"million"},
{power(10,3),"thousand"}}
function triplet(integer n)
atom order, high, low
string name, res = ""
for i=1 to length(orders) do
{order,name} = orders[i]
high = floor(n/order)
low = mod(n,order)
if high!=0 then
res &= thousand(high)&' '&name
end if
n = low
if low=0 then exit end if
if length(res) and high!=0 then
res &= " "
end if
end for
if n!=0 or res="" then
res &= thousand(floor(n))
end if
return res
end function
function spell(integer n)
string res = ""
if n<0 then
res = "negative "
n = n
end if
res &= triplet(n)
return res
end function
</adapted from number_names.exw>
function fourIsMagic(atom n)
string s = spell(n)
s[1] = upper(s[1])
string t = s
while n!=4 do
n = length(s)
s = spell(n)
t &= " is " & s & ", " & s
end while
t &= " is magic.\n"
return t
end function
constant tests = {7, 1, 0, 1, 2, 3, 4, 23, 1e9, 20140, 100, 130, 151, 999999}
for i=1 to length(tests) do
puts(1,fourIsMagic(tests[i]))
end for
 Output:
Negative seven is fourteen, fourteen is eight, eight is five, five is four, four is magic. Negative one is twelve, twelve is six, six is three, three is five, five is four, four is magic. Zero is four, four is magic. One is three, three is five, five is four, four is magic. Two is three, three is five, five is four, four is magic. Three is five, five is four, four is magic. Four is magic. Twentythree is twelve, twelve is six, six is three, three is five, five is four, four is magic. One billion is eleven, eleven is six, six is three, three is five, five is four, four is magic. Twenty thousand one hundred forty is thirtythree, thirtythree is twelve, twelve is six, six is three, three is five, five is four, four is magic. One hundred is eleven, eleven is six, six is three, three is five, five is four, four is magic. One hundred thirty is eighteen, eighteen is eight, eight is five, five is four, four is magic. One hundred fiftyone is twentyone, twentyone is ten, ten is three, three is five, five is four, four is magic. Nine hundred ninetynine thousand nine hundred ninetynine is fiftyeight, fiftyeight is eleven, eleven is six, six is three, three is five, five is four, four is magic.
Python[edit]
Python 3 version. Should work for integers up to at least 10^3003. It can be extended easily to arbitrary integers by adding to the numbers dict.
import random
from collections import OrderedDict
numbers = { # taken from https://en.wikipedia.org/wiki/Names_of_large_numbers#cite_refa_143
1: 'one',
2: 'two',
3: 'three',
4: 'four',
5: 'five',
6: 'six',
7: 'seven',
8: 'eight',
9: 'nine',
10: 'ten',
11: 'eleven',
12: 'twelve',
13: 'thirteen',
14: 'fourteen',
15: 'fifteen',
16: 'sixteen',
17: 'seventeen',
18: 'eighteen',
19: 'nineteen',
20: 'twenty',
30: 'thirty',
40: 'forty',
50: 'fifty',
60: 'sixty',
70: 'seventy',
80: 'eighty',
90: 'ninety',
100: 'hundred',
1000: 'thousand',
10 ** 6: 'million',
10 ** 9: 'billion',
10 ** 12: 'trillion',
10 ** 15: 'quadrillion',
10 ** 18: 'quintillion',
10 ** 21: 'sextillion',
10 ** 24: 'septillion',
10 ** 27: 'octillion',
10 ** 30: 'nonillion',
10 ** 33: 'decillion',
10 ** 36: 'undecillion',
10 ** 39: 'duodecillion',
10 ** 42: 'tredecillion',
10 ** 45: 'quattuordecillion',
10 ** 48: 'quinquadecillion',
10 ** 51: 'sedecillion',
10 ** 54: 'septendecillion',
10 ** 57: 'octodecillion',
10 ** 60: 'novendecillion',
10 ** 63: 'vigintillion',
10 ** 66: 'unvigintillion',
10 ** 69: 'duovigintillion',
10 ** 72: 'tresvigintillion',
10 ** 75: 'quattuorvigintillion',
10 ** 78: 'quinquavigintillion',
10 ** 81: 'sesvigintillion',
10 ** 84: 'septemvigintillion',
10 ** 87: 'octovigintillion',
10 ** 90: 'novemvigintillion',
10 ** 93: 'trigintillion',
10 ** 96: 'untrigintillion',
10 ** 99: 'duotrigintillion',
10 ** 102: 'trestrigintillion',
10 ** 105: 'quattuortrigintillion',
10 ** 108: 'quinquatrigintillion',
10 ** 111: 'sestrigintillion',
10 ** 114: 'septentrigintillion',
10 ** 117: 'octotrigintillion',
10 ** 120: 'noventrigintillion',
10 ** 123: 'quadragintillion',
10 ** 153: 'quinquagintillion',
10 ** 183: 'sexagintillion',
10 ** 213: 'septuagintillion',
10 ** 243: 'octogintillion',
10 ** 273: 'nonagintillion',
10 ** 303: 'centillion',
10 ** 306: 'uncentillion',
10 ** 309: 'duocentillion',
10 ** 312: 'trescentillion',
10 ** 333: 'decicentillion',
10 ** 336: 'undecicentillion',
10 ** 363: 'viginticentillion',
10 ** 366: 'unviginticentillion',
10 ** 393: 'trigintacentillion',
10 ** 423: 'quadragintacentillion',
10 ** 453: 'quinquagintacentillion',
10 ** 483: 'sexagintacentillion',
10 ** 513: 'septuagintacentillion',
10 ** 543: 'octogintacentillion',
10 ** 573: 'nonagintacentillion',
10 ** 603: 'ducentillion',
10 ** 903: 'trecentillion',
10 ** 1203: 'quadringentillion',
10 ** 1503: 'quingentillion',
10 ** 1803: 'sescentillion',
10 ** 2103: 'septingentillion',
10 ** 2403: 'octingentillion',
10 ** 2703: 'nongentillion',
10 ** 3003: 'millinillion'
}
numbers = OrderedDict(sorted(numbers.items(), key=lambda t: t[0], reverse=True))
def string_representation(i: int) > str:
"""
Return the english string representation of an integer
"""
if i == 0:
return 'zero'
words = ['negative'] if i < 0 else []
working_copy = abs(i)
for key, value in numbers.items():
if key <= working_copy:
times = int(working_copy / key)
if key >= 100:
words.append(string_representation(times))
words.append(value)
working_copy = times * key
if working_copy == 0:
break
return ' '.join(words)
def next_phrase(i: int):
"""
Generate all the phrases
"""
while not i == 4: # Generate phrases until four is reached
str_i = string_representation(i)
len_i = len(str_i)
yield str_i, 'is', string_representation(len_i)
i = len_i
# the last phrase
yield string_representation(i), 'is', 'magic'
def magic(i: int) > str:
phrases = []
for phrase in next_phrase(i):
phrases.append(' '.join(phrase))
return f'{", ".join(phrases)}.'.capitalize()
if __name__ == '__main__':
for j in (random.randint(0, 10 ** 3) for i in range(5)):
print(j, ':\n', magic(j), '\n')
for j in (random.randint(10 ** 24, 10 ** 24) for i in range(2)):
print(j, ':\n', magic(j), '\n')
 Output:
475 : Four hundred seventy five is twenty five, twenty five is eleven, eleven is six, six is three, three is five, five is four, four is magic. 968 : Nine hundred sixty eight is twenty four, twenty four is eleven, eleven is six, six is three, three is five, five is four, four is magic. 304 : Three hundred four is eighteen, eighteen is eight, eight is five, five is four, four is magic. 544 : Five hundred forty four is twenty three, twenty three is twelve, twelve is six, six is three, three is five, five is four, four is magic. 394 : Three hundred ninety four is twenty five, twenty five is eleven, eleven is six, six is three, three is five, five is four, four is magic. 49587779907680717664396 : Negative forty nine sextillion five hundred eighty seven quintillion seven hundred seventy nine quadrillion nine hundred seven trillion six hundred eighty billion seven hundred seventeen million six hundred sixty four thousand three hundred ninety six is two hundred fifty one, two hundred fifty one is twenty one, twenty one is ten, ten is three, three is five, five is four, four is magic. 874143425855745733896030 : Eight hundred seventy four sextillion one hundred forty three quintillion four hundred twenty five quadrillion eight hundred fifty five trillion seven hundred forty five billion seven hundred thirty three million eight hundred ninety six thousand thirty is two hundred fifty three, two hundred fifty three is twenty three, twenty three is twelve, twelve is six, six is three, three is five, five is four, four is magic.
Racket[edit]
#lang racket
(require rackunit)
(define smalls
(map symbol>string
'(zero one two three four five six seven eight nine ten eleven twelve
thirteen fourteen fifteen sixteen seventeen eighteen nineteen)))
(define tens
(map symbol>string
'(zero ten twenty thirty forty fifty sixty seventy eighty ninety)))
(define larges
(map symbol>string
'(thousand million billion trillion quadrillion quintillion sextillion
septillion octillion nonillion decillion undecillion duodecillion
tredecillion quattuordecillion quindecillion sexdecillion
septendecillion octodecillion novemdecillion vigintillion)))
(define (number>words n)
(define (step div suffix separator [subformat number>words])
(definevalues [q r] (quotient/remainder n div))
(define S (if suffix (~a (subformat q) " " suffix) (subformat q)))
(if (zero? r) S (~a S separator (number>words r))))
(cond [(< n 0) (~a "negative " (number>words ( n)))]
[(< n 20) (listref smalls n)]
[(< n 100) (step 10 #f "" (curry listref tens))]
[(< n 1000) (step 100 "hundred" " ")]
[else (let loop ([N 1000000] [D 1000] [unit larges])
(cond [(null? unit)
(error 'number>words "number too big: ~e" n)]
[(< n N) (step D (car unit) " ")]
[else (loop (* 1000 N) (* 1000 D) (cdr unit))]))]))
(define (firstcap s)
(~a (stringupcase (substring s 0 1)) (substring s 1)))
(define (magic word [acc null])
(if (equal? word "four")
(stringjoin (reverse (cons "four is magic." acc)) ", \n")
(let* ([wordlen (stringlength word)]
[words (number>words wordlen)])
(magic words
(cons (stringappend word " is " words) acc)))))
(define (numbermagic n)
(firstcap (magic (number>words n))))
(for ([n (append (range 11)
'(10 23 172 20140 100 130 999999 876000000
874143425855745733896030))])
(displayln n)
(displayln (numbermagic n))
(newline))
 Output:
0 Zero is four, four is magic. 1 One is three, three is five, five is four, four is magic. 2 Two is three, three is five, five is four, four is magic. 3 Three is five, five is four, four is magic. 4 Four is magic. 5 Five is four, four is magic. 6 Six is three, three is five, five is four, four is magic. 7 Seven is five, five is four, four is magic. 8 Eight is five, five is four, four is magic. 9 Nine is four, four is magic. 10 Ten is three, three is five, five is four, four is magic. 10 Negative ten is twelve, twelve is six, six is three, three is five, five is four, four is magic. 23 Twentythree is twelve, twelve is six, six is three, three is five, five is four, four is magic. 172 One hundred seventytwo is twentythree, twentythree is twelve, twelve is six, six is three, three is five, five is four, four is magic. 20140 Twenty thousand one hundred forty is thirtythree, thirtythree is twelve, twelve is six, six is three, three is five, five is four, four is magic. 100 One hundred is eleven, eleven is six, six is three, three is five, five is four, four is magic. 130 One hundred thirty is eighteen, eighteen is eight, eight is five, five is four, four is magic. 999999 Nine hundred ninetynine thousand nine hundred ninetynine is fiftyeight, fiftyeight is eleven, eleven is six, six is three, three is five, five is four, four is magic. 876000000 Eight hundred seventysix million is thirtythree, thirtythree is twelve, twelve is six, six is three, three is five, five is four, four is magic. 874143425855745733896030 Eight hundred seventyfour sextillion one hundred fortythree quintillion four hundred twentyfive quadrillion eight hundred fiftyfive trillion seven hundred fortyfive billion seven hundred thirtythree million eight hundred ninetysix thousand thirty is two hundred fiftythree, two hundred fiftythree is twentythree, twentythree is twelve, twelve is six, six is three, three is five, five is four, four is magic.
Raku[edit]
(formerly Perl 6)
Lingua::EN::Numbers module available from the Raku ecosystem.
use Lingua::EN::Numbers; # Version 2.4.0 or higher
sub card ($n) { cardinal($n).subst(/','/, '', :g) }
sub magic (Int $int is copy) {
my $string;
loop {
$string ~= "{ card($int) } is ";
if $int = ($int == 4) ?? 0 !! card($int).chars {
$string ~= "{ card($int) }, "
} else {
$string ~= "magic.\n";
last
}
}
$string.tc
}
.&magic.say for 0, 4, 6, 11, 13, 75, 337, 164, 9876543209, 2**256;
 Output:
Zero is four, four is magic. Four is magic. Six is three, three is five, five is four, four is magic. Eleven is six, six is three, three is five, five is four, four is magic. Thirteen is eight, eight is five, five is four, four is magic. Seventyfive is twelve, twelve is six, six is three, three is five, five is four, four is magic. Three hundred thirtyseven is twentysix, twentysix is ten, ten is three, three is five, five is four, four is magic. Negative one hundred sixtyfour is thirtyone, thirtyone is ten, ten is three, three is five, five is four, four is magic. Nine billion eight hundred seventysix million five hundred fortythree thousand two hundred nine is ninetyseven, ninetyseven is twelve, twelve is six, six is three, three is five, five is four, four is magic. One hundred fifteen quattuorvigintillion seven hundred ninetytwo trevigintillion eightynine duovigintillion two hundred thirtyseven unvigintillion three hundred sixteen vigintillion one hundred ninetyfive novemdecillion four hundred twentythree octodecillion five hundred seventy septendecillion nine hundred eightyfive sexdecillion eight quindecillion six hundred eightyseven quattuordecillion nine hundred seven tredecillion eight hundred fiftythree duodecillion two hundred sixtynine undecillion nine hundred eightyfour decillion six hundred sixtyfive nonillion six hundred forty octillion five hundred sixtyfour septillion thirtynine sextillion four hundred fiftyseven quintillion five hundred eightyfour quadrillion seven trillion nine hundred thirteen billion one hundred twentynine million six hundred thirtynine thousand nine hundred thirtysix is eight hundred sixtynine, eight hundred sixtynine is twentyfour, twentyfour is eleven, eleven is six, six is three, three is five, five is four, four is magic.
REXX[edit]
The numbers used for the default were taken from the Kotlin example.
Numbers are limited to 3,003 decimal digits, the maximum number that the $SPELL# REXX program will handle.
/*REXX pgm converts a # to English into the phrase: a is b, b is c, ... four is magic. */
numeric digits 3003 /*be able to handle gihugic numbers. */
parse arg x /*obtain optional numbers from the C.L.*/
if x='' then x=164 0 4 6 11 13 75 100 337 9223372036854775807 /*use these defaults?*/
@.=. /*stemmed array used for memoization. */
do j=1 for words(x) /*process each of the numbers in list. */
say 4_is( word(x, j) ) /*display phrase that'll be returned. */
say /*display a blank line between outputs.*/
end /*j*/
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
4_is: procedure expose @.; parse arg #,,$ /*obtain the start number.*/
if #\==4 then do until L==4 /*Not 4? Process number.*/
@.#=$spell#(# 'quiet minus negative') /*spell number in English.*/
#[email protected].#; L=length(#) /*get the length of spelt#*/
if @.L==. then @.L=$spell#(L 'quiet') /*¬spelt before? Spell it.*/
$=$ # "is" @.L',' /*add phrase to the answer*/
#=L /*use the new number, ··· */
end /*until*/ /* ··· which will be spelt*/
$=strip($ 'four is magic.') /*finish the sentence with the finale. */
parse var $ first 2 other; upper first /*capitalize the first letter of output*/
return first  other /*return the sentence to the invoker. */
The $SPELL#.REX routine can be found here ───► $SPELL#.REX.
 output when using the default inputs:
Negative one hundred sixtyfour is thirtyone, thirtyone is ten, ten is three, three is five, five is four, four is magic. Zero is four, four is magic. Four is magic. Six is three, three is five, five is four, four is magic. Eleven is six, six is three, three is five, five is four, four is magic. Thirteen is eight, eight is five, five is four, four is magic. Seventyfive is twelve, twelve is six, six is three, three is five, five is four, four is magic. One hundred is eleven, eleven is six, six is three, three is five, five is four, four is magic. Three hundred thirtyseven is twentysix, twentysix is ten, ten is three, three is five, five is four, four is magic. Nine quintillion two hundred twentythree quadrillion three hundred seventytwo trillion thirtysix billion eight hundred fiftyfour million seven hundred seventyfive thousand eight hundred seven is one hundred ninetysix, one hundred ninetysix is twentytwo, twentytwo is ten, ten is three, three is five, five is four, four is magic.
Ring[edit]
/* Checking numbers from 0 to 10 */
for c = 0 to 10
See checkmagic(c) + NL
next
/* The functions */
Func CheckMagic numb
CardinalN = ""
Result = ""
if isnumber(numb) = false or numb < 0 or numb > 999_999_999_999_999
Return "ERROR: Number entered is incorrect"
ok
if numb = 4
Result = "Four is magic."
else
While True
if CardinalN = "four"
Result += "four is magic"
exit
ok
strnumb = StringNumber(numb)
CardinalN = StringNumber(len(strnumb))
Result += strnumb + " is " + CardinalN + ", "
numb = len(strnumb)
End
Result += "."
Result = upper(Result[1]) + Right(Result, len(Result) 1)
ok
Return Result
Func StringNumber cnumb
NumStr = [:n0 = "zero", :n1 = "one", :n2 = "two", :n3 = "three", :n4 = "four", :n5 = "five",
:n6 = "six", :n7 = "seven", :n8 = "eight", :n9 = "nine", :n10 = "ten",
:n11 = "eleven", :n12 = "twelve", :n13 = "thirteen", :n14 = "fourteen", :n15 = "fifteen",
:n16 = "sixteen", :n17 = "seventeen", :n18 = "eighteen", :n19 = "nineteen",
:n20 = "twenty", :n30 = "thirty", :n40 = "fourty", :n50 = "fifty", :n60 = "sixty", :n70 = "seventy", :n80 = "eighty", :n90 = "ninety"]
numLev = [:l1 = "", :l2 = "thousand", :l3 = "million", :l4 = "billion", :l5 = "trillion"]
Result = ""
if cnumb > 0
decimals(0)
snumb = string((cnumb))
lnumb = [""]
fl = floor(len(snumb) / 3)
if fl > 0
for i = 1 to fl
lnumb[i] = right(snumb, 3)
snumb = left(snumb, len(snumb) 3)
lnumb + ""
next
if (len(snumb) % 3) > 0
lnumb[len(lnumb)] = snumb
else
del(lnumb, len(lnumb))
ok
else
lnumb[1] = snumb
ok
for l = len(lnumb) to 1 step 1
bnumb = lnumb[l]
bResult = ""
if number(bnumb) != 0
for n = len(bnumb) to 1 step 1
if (len(bnumb) = 3 and n = 2) or (len(bnumb) = 2 and n = 1)
if number(bnumb[n]) > 1
eval("bResult = NumStr[:n" + bnumb[n] + "0] + ' ' + bResult")
elseif number(bnumb[n]) = 1
eval("bResult = NumStr[:n" + bnumb[n] + bnumb[n+1] + "] + ' ' + bResult")
ok
else
if len(bnumb) = 3 and n = 1 and number(bnumb[1]) > 0
if trim(bResult) != ""
bResult = " " + bResult
ok
if number(bnumb[1]) > 1
bResult = "hundreds" + bResult
else
bResult = "hundred" + bResult
ok
if left(trim(bResult), 7) = "hundred"
bResult = bResult + " "
ok
ok
if (len(bnumb) = 3 and n = 1 and number(bnumb[1]) = 0) OR (len(bnumb) = n and number(bnumb[n]) = 0) OR (len(bnumb) = 3 and number(bnumb[2]) = 1) OR (len(bnumb) = 2 and number(bnumb[1]) = 1)
loop
ok
eval("bResult = NumStr[:n" + bnumb[n] + "] + ' ' + bResult")
ok
next
Result = Result + bResult
if l > 1
if number(bnumb) > 1
eval("Result = Result + numLev[:l" + l + "] + 's ' ")
else
eval("Result = Result + numLev[:l" + l + "] + ' ' ")
ok
ok
ok
next
else
Result = Result + NumStr[:n0]
ok
Return trim(Result)
Output:
Zero is four, four is magic. One is three, three is five, five is four, four is magic. Two is three, three is five, five is four, four is magic. Three is five, five is four, four is magic. Four is magic. Five is four, four is magic. Six is three, three is five, five is four, four is magic. Seven is five, five is four, four is magic. Eight is five, five is four, four is magic. Nine is four, four is magic. Ten is three, three is five, five is four, four is magic.
Rust[edit]
fn main() {
magic(4);
magic(2_340);
magic(765_000);
magic(27_000_001);
magic(999_123_090);
magic(239_579_832_723_441);
magic(std::u64::MAX);
}
fn magic(num: u64) {
if num == 4 {
println!("four is magic!");
println!();
return;
}
let name = number_name(num);
let len = name.len() as u64;
print!("{} is {}, ", name, number_name(len));
magic(len);
}
const LOW: &'static [&'static str] = &[
"zero", "one", "two", "three", "four", "five",
"six", "seven", "eight","nine", "ten",
"eleven", "twelve", "thirteen", "fourteen", "fifteen",
"sixteen", "seventeen", "eighteen", "nineteen"
];
const MED: &'static [&'static str] = &[
"twenty", "thirty", "forty", "fifty",
"sixy", "seventy", "eighty", "ninety"
];
const HIGH: &'static [&'static str] = &[
"thousand", "million", "billion",
"trillion", "quadrillion", "quintillion"
];
fn number_name(num: u64) > String {
if num < 20 {
return LOW[num as usize].to_string();
}
if num < 100 {
let index = ((num / 10)  2) as usize;
let tens = MED[index].to_string();
let remainder = num % 10;
if remainder > 0 {
return format!("{}{}", tens, number_name(remainder));
}
return tens;
}
if num < 1000 {
let hundreds = LOW[(num / 100) as usize];
let remainder = num % 100;
if remainder > 0 {
return format!("{} hundred {}", hundreds, number_name(remainder));
}
return format!("{} hundred", hundreds);
}
let mut remainder = num % 1000;
let mut cur = if remainder > 0 { number_name(remainder) } else { "".to_string() };
let mut n = num / 1000;
for noun in HIGH.iter() {
if n > 0 {
remainder = n % 1000;
if remainder > 0 {
// this condition resolves double space issues
cur =
if cur.len() > 0 { format!("{} {} {}", number_name(remainder), noun, cur ) }
else { format!("{} {}", number_name(remainder), noun) }
}
n /= 1000;
}
}
return cur;
}
 Output:
four is magic! two thousand three hundred forty is thirtytwo, thirtytwo is ten, ten is three, three is five, five is four, four is magic! seven hundred sixyfive thousand is thirtytwo, thirtytwo is ten, ten is three, three is five, five is four, four is magic! twentyseven million one is twentyfour, twentyfour is eleven, eleven is six, six is three, three is five, five is four, four is magic! nine hundred ninetynine million one hundred twentythree thousand ninety is seventythree, seventythree is thirteen, thirteen is eight, eight is five, five is four, four is magic! two hundred thirtynine trillion five hundred seventynine billion eight hundred thirtytwo million seven hundred twentythree thousand four hundred fortyone is one hundred fiftyeight, one hundred fiftyeight is twentythree, twentythree is twelve, twelve is six, six is three, three is five, five is four, four is magic! eighteen quintillion four hundred fortysix quadrillion seven hundred fortyfour trillion seventythree billion seven hundred nine million five hundred fiftyone thousand six hundred fifteen is one hundred ninety, one hundred ninety is eighteen, eighteen is eight, eight is five, five is four, four is magic!
Sidef[edit]
func cardinal(n) {
static lingua_en = frequire("Lingua::EN::Numbers")
lingua_en.num2en(n)  / and,/g
}
func four_is_magic(n) {
var str = ""
loop {
str += (cardinal(n) + " is ")
if (n == 4) {
str += "magic."
break
} else {
n = cardinal(n).len
str += (cardinal(n) + ", ")
}
}
str.tc
}
[0, 4, 6, 11, 13, 75, 337, 164, 9_876_543_209].each { n
say four_is_magic(n)
}
 Output:
Zero is four, four is magic. Four is magic. Six is three, three is five, five is four, four is magic. Eleven is six, six is three, three is five, five is four, four is magic. Thirteen is eight, eight is five, five is four, four is magic. Seventyfive is twelve, twelve is six, six is three, three is five, five is four, four is magic. Three hundred thirtyseven is twentysix, twentysix is ten, ten is three, three is five, five is four, four is magic. Negative one hundred sixtyfour is thirtyone, thirtyone is ten, ten is three, three is five, five is four, four is magic. Nine billion eight hundred seventysix million five hundred fortythree thousand two hundred nine is ninetyseven, ninetyseven is twelve, twelve is six, six is three, three is five, five is four, four is magic.
UNIX Shell[edit]
# Names for numbers that fit in a bash integer
declare A names=([0]=zero [1]=one [2]=two [3]=three [4]=four [5]=five [6]=six
[7]=seven [8]=eight [9]=nine [10]=ten [11]=eleven [12]=twelve
[13]=thirteen [14]=fourteen [15]=fifteen [16]=sixteen
[17]=seventeen [18]=eighteen [19]=nineteen [20]=twenty
[30]=thirty [40]=forty [50]=fifty [60]=sixty [70]=seventy
[80]=eighty [90]=ninety [100]=hundred [1000]=thousand
[1000000]=million [1000000000]=billion [1000000000000]=trillion
[1000000000000000]=quadrillion [1000000000000000000]=quintillion)
# The powers of 10 above 10, in descending order
powers_of_10=($(printf '%s\n' "${!names[@]}"  sort nr  grep '00$'))
# Function to return the name of a number given in numeric form
# If the second parameter is passed in, it is appended to the name
# with a space between them; this is to facilitate tail recursion
name_of() {
local i n=$1
local suffix=$2
# check for easy case first  exclude exact powers of 10
# above 10 as we'll need to stick a "one" in front of those.
if [[ $n != *00 && n ${names[$n]} ]]; then
printf '%s%s\n' "${names[$n]}" ${suffix:+" $suffix"}
return 0
fi
# find the largest power of 10 that is smaller than n
local i i=0
local i p=${powers_of_10[i]}
while (( p > n && i < ${#powers_of_10[@]}1 )); do
i=i+1
p=${powers_of_10[$i]}
done
# if we found one, split on it and construct quotient 'name' remainder
# since both quotient and remainder require recursion, we can't use
# tailrecursion for both.
if (( n >= p )); then
local i quotient=n/p
local i remainder=n%p
local remname=
if (( remainder > 0 )); then
remname=$(name_of $remainder)
fi
name_of "$quotient" "${names[$p]}${remname:+ $remname}${suffix:+ $suffix}"
else
# things are a little different under 100, since the multiples of
# 10 have their own names
local i remainder=n%10
local i tens=nremainder
local remname=
if (( remainder > 0 )); then
remname=$(name_of $remainder)
fi
printf '%s%s%s\n' "${names[$tens]}" "${remname}" ${suffix:+" $suffix"}
fi
return 0
}
# Convert numbers into the length of their names
# Display the series of values in name form until
# the length turns into four; then terminate with "four is magic."
# Again, takes a second argument, this time a prefix, to
# facilitate tail recursion.
four_is_magic() {
local i n=$1
local prefix=$2
local name=$(name_of $n)
# capitalize the first entry
if [[ z $prefix ]]; then
name=${name^}
fi
# Stop at 4, otherwise count the length of the name and recurse
if (( $n == 4 )); then
printf '%s%s is magic.\n' "${prefix:+$prefix, }" "$name"
else
local i len=${#name}
four_is_magic "$len" "${prefix:+$prefix, }$name is $(name_of $len)"
fi
}
 Output:
# sadly the number of Rubik's Cube permutations won't fit into a bash int, # but this is that value minus the first digit (40 quintillion) $ four_is_magic 3252003274489856000 Three quintillion two hundred fiftytwo quadrillion three trillion two hundred seventyfour billion four hundred eightynine million eight hundred fiftysix thousand is one hundred sixtyfive, one hundred sixtyfive is twentytwo, twentytwo is ten, ten is three, three is five, five is four, four is magic. # Max Unicode code point $ four_is_magic 1114111 One million one hundred fourteen thousand one hundred eleven is sixty, sixty is five, five is four, four is magic. # Some usual suspects $ four_is_magic 42 Fortytwo is nine, nine is four, four is magic. $ four_is_magic 23 Twentythree is twelve, twelve is six, six is three, three is five, five is four, four is magic. # the units for (( i=0; i<10; i++ )); do four_is_magic $i done Zero is four, four is magic. One is three, three is five, five is four, four is magic. Two is three, three is five, five is four, four is magic. Three is five, five is four, four is magic. Four is magic. Five is four, four is magic. Six is three, three is five, five is four, four is magic. Seven is five, five is four, four is magic. Eight is five, five is four, four is magic. Nine is four, four is magic.
Wren[edit]
This reuses the say
function from the Number names task.
Note that it is not safe to use this script for numbers with an absolute magnitude >= 2^53 as integers cannot be expressed exactly by Wren's Num type beyond that limit.
import "/str" for Str
var small = ["zero", "one", "two", "three", "four", "five", "six", "seven", "eight", "nine", "ten", "eleven",
"twelve", "thirteen", "fourteen", "fifteen", "sixteen", "seventeen", "eighteen", "nineteen"]
var tens = ["", "", "twenty", "thirty", "forty", "fifty", "sixty", "seventy", "eighty", "ninety"]
var illions = ["", " thousand", " million", " billion"," trillion", " quadrillion", " quintillion"]
var say
say = Fn.new { n
var t = ""
if (n < 0) {
t = "negative "
n = n
}
if (n < 20) {
t = t + small[n]
} else if (n < 100) {
t = t + tens[(n/10).floor]
var s = n % 10
if (s > 0) t = t + "" + small[s]
} else if (n < 1000) {
t = t + small[(n/100).floor] + " hundred"
var s = n % 100
System.write("") // guards against VM recursion bug
if (s > 0) t = t + " " + say.call(s)
} else {
var sx = ""
var i = 0
while (n > 0) {
var p = n % 1000
n = (n/1000).floor
if (p > 0) {
System.write("") // guards against VM recursion bug
var ix = say.call(p) + illions[i]
if (sx != "") ix = ix + " " + sx
sx = ix
}
i = i + 1
}
t = t + sx
}
return t
}
var fourIsMagic = Fn.new { n
var s = Str.capitalize(say.call(n))
var t = s
while (n != 4) {
n = s.count
s = say.call(n)
t = t + " is " + s + ", " + s
}
return t + " is magic."
}
for (n in [0, 4, 6, 11, 13, 75, 100, 337, 164, 9007199254740991]) {
System.print(fourIsMagic.call(n))
}
 Output:
Zero is four, four is magic. Four is magic. Six is three, three is five, five is four, four is magic. Eleven is six, six is three, three is five, five is four, four is magic. Thirteen is eight, eight is five, five is four, four is magic. Seventyfive is twelve, twelve is six, six is three, three is five, five is four, four is magic. One hundred is eleven, eleven is six, six is three, three is five, five is four, four is magic. Three hundred thirtyseven is twentysix, twentysix is ten, ten is three, three is five, five is four, four is magic. Negative one hundred sixtyfour is thirtyone, thirtyone is ten, ten is three, three is five, five is four, four is magic. Nine quadrillion seven trillion one hundred ninetynine billion two hundred fiftyfour million seven hundred forty thousand nine hundred ninetyone is one hundred fortyseven, one hundred fortyseven is twentythree, twentythree is twelve, twelve is six, six is three, three is five, five is four, four is magic.
zkl[edit]
Limitiation: zkl only has 64 bit signed integars.
Uses the nth function from Spelling_of_ordinal_numbers#zkl
fcn fourIsMagic(int){
if(int==0) return("Zero is four, four is magic.");
string:="";
while(1){ c:=nth(int,False);
string+="%s is ".fmt(c);
if(int = ( if(int==4) 0 else c.len() )){
string+="%s, ".fmt(nth(int,False));
}else{
string+="magic.";
break;
}
}
string[0].toUpper() + string[1,*]
}
foreach n in (T(0,4,6,11,13,75,337,164,9876543209)){
println(fourIsMagic(n),"\n")
}
 Output:
Zero is four, four is magic. Four is magic. Six is three, three is five, five is four, four is magic. Eleven is six, six is three, three is five, five is four, four is magic. Thirteen is eight, eight is five, five is four, four is magic. Seventyfive is twelve, twelve is six, six is three, three is five, five is four, four is magic. Three hundred thirtyseven is twentysix, twentysix is ten, ten is three, three is five, five is four, four is magic. Negative one hundred sixtyfour is thirtyone, thirtyone is ten, ten is three, three is five, five is four, four is magic. Nine billion eight hundred seventysix million five hundred fortythree thousand two hundred nine is ninetyseven, ninetyseven is twelve, twelve is six, six is three, three is five, five is four, four is magic.