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Ingy döt Net 2023-07-01 11:58:00 -04:00
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---
from: http://rosettacode.org/wiki/Four_is_magic

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;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 '''twenty-three''' not '''twentythree'''.)
:* Cardinal number conversions should follow the [[wp:Long_and_short_scales| 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 fifty-one''' 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 pre-made 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 code-golf task. '''This is not code golf.''' Write legible, idiomatic and well formatted code.<BR>
;Related tasks:
:* &nbsp; [[Four is the number of_letters in the ...]]
:* &nbsp; [[Look-and-say sequence]]
:* &nbsp; [[Number names]]
:* &nbsp; [[Self-describing numbers]]
:* &nbsp; [[Summarize and say sequence]]
:* &nbsp; [[Spelling of ordinal numbers]]
:* &nbsp; [[De Bruijn sequences]]
<br><br>

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V Small = [zero, one, two, three, four,
five, six, seven, eight, nine,
ten, eleven, twelve, thirteen, fourteen,
fifteen, sixteen, seventeen, eighteen, nineteen]
V Tens = [, , twenty, thirty, forty, fifty, sixty, seventy, eighty, ninety]
V Illions = [, thousand, million, billion, trillion, quadrillion, quintillion]
F say(Int64 =n) -> String
V result =
I n < 0
result = negative
n = -n
I n < 20
result = Small[Int(n)]
E I n < 100
result = Tens[Int(n I/ 10)]
V m = n % 10
I m != 0
result = -Small[Int(m)]
E I n < 1000
result = Small[Int(n I/ 100)] hundred
V m = n % 100
I m != 0
result = say(m)
E
V sx =
V i = 0
L n > 0
V m = n % 1000
n I/= 1000
I m != 0
V ix = say(m)Illions[i]
I sx.len > 0
ix = sx
sx = ix
i++
result = sx
R result
F fourIsMagic(=n)
V s = say(n).capitalize()
V result = s
L n != 4
n = s.len
s = say(n)
result = is s, s
R result is magic.
L(n) [Int64(0), 4, 6, 11, 13, 75, 100, 337, -164, 7FFF'FFFF'FFFF'FFFF]
print(fourIsMagic(n))

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puts: equ 9h ; MS-DOS syscall to print a string
cpu 8086
bits 16
org 100h
section .text
;;; Read number from the MS-DOS 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

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magic{
t20'one' 'two' 'three' 'four' 'five' 'six' 'seven' 'eight' 'nine'
t20t20,'ten' 'eleven' 'twelve' 'thirteen' 'fourteen' 'fifteen' 'sixteen'
t20t20,'seventeen' 'eighteen' 'nineteen'
tens'twenty' 'thirty' 'forty' 'fifty' 'sixty' 'seventy' 'eighty' 'ninety'
spell{
=0:'zero'
{
=0:''
<20:t20
<100:tens[(÷10)-1],((0r)/'-'),r10|
<1000:(÷100),' hundred',((0r)/' '),r100|
<1e6:(÷1000),' thousand',((0r)/' '),r1000|
<1e9:(÷1e6),' million',((0r)/' '),r1e6|
<1e12:(÷1e9),' billion',((0r)/' '),r1e9|
<1e15:(÷1e12),' trillion',((0r)/' '),r1e12|
<1e18:(÷1e15),' quadrillion',((0r)/' '),r1e15|
<1e21:(÷1e18),' quintillion',((0r)/' '),r1e18|
'Overflow' ⎕SIGNAL 11
}
}
1(819)@1{
nspell
=4:n,' is magic.'
n,' is ',(spell n),', ',n
}
}

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# 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," ")
}

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(* Uses a Foundation number formatter for brevity. *)
use AppleScript version "2.4" -- OS X 10.10 (Yosemite) or later
use framework "Foundation"
on getNumberFormatter(localeID, numberStyle)
set formatter to current application's class "NSNumberFormatter"'s new()
tell formatter to setLocale:(current application's class "NSLocale"'s localeWithLocaleIdentifier:(localeID))
tell formatter to setNumberStyle:(numberStyle)
return formatter
end getNumberFormatter
on join(listOfText, delimiter)
set astid to AppleScript's text item delimiters
set AppleScript's text item delimiters to delimiter
set txt to listOfText as text
set AppleScript's text item delimiters to astid
return txt
end join
on fourIsMagic(n)
set n to n as number
if (n is 4) then return "Four is magic."
set formatter to getNumberFormatter("en_US", current application's NSNumberFormatterSpellOutStyle)
set nName to (formatter's stringFromNumber:(n)) as text
if (nName begins with "minus") then
set nName to "Negative " & text from word 2 to -1 of nName
else -- Crude ID-based capitalisation. Good enough for English number names.
set nName to character id ((id of character 1 of nName) - 32) & text 2 thru -1 of nName
end if
set output to {}
repeat until (n is 4)
set n to (count nName)
set lenName to (formatter's stringFromNumber:(n)) as text
set end of output to nName & " is " & lenName
set nName to lenName
end repeat
set end of output to "four is magic."
return join(output, ", ")
end fourIsMagic
local tests, output, n
set tests to {-19, 0, 4, 25, 32, 111, 1.234565789E+9}
set output to {}
repeat with n in tests
set end of output to fourIsMagic(n)
end repeat
return join(output, linefeed)

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"Negative nineteen is seventeen, seventeen is nine, nine is four, four is magic.
Zero is four, four is magic.
Four is magic.
Twenty-five is eleven, eleven is six, six is three, three is five, five is four, four is magic.
Thirty-two is ten, ten is three, three is five, five is four, four is magic.
One hundred eleven is eighteen, eighteen is eight, eight is five, five is four, four is magic.
One billion two hundred thirty-four million five hundred sixty-five thousand seven hundred eighty-nine is one hundred two, one hundred two is fifteen, fifteen is seven, seven is five, five is four, four is magic."

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Four_is_magic(num){
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,1-3*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})+$))", ",")
}

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for i, num in StrSplit("7,54,235,8463,95723,485723,5472539,15750268,853956201,2736452849,94837286837,636478294710", ",")
result .= Four_is_magic(num) "`n"
MsgBox % result

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#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;
}

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#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;
}

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(require '[clojure.edn :as edn])
(def 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" })
(def powers-of-10 (reverse (sort (filter #(clojure.string/ends-with? (str %) "00") (keys names)))))
(defn name-of [n]
(let [p (first (filter #(>= n %) powers-of-10))]
(cond
(not (nil? p))
(let [quotient (quot n p)
remainder (rem n p)]
(str (name-of quotient) " " (names p) (if (> remainder 0) (str " " (name-of remainder)))))
(and (nil? p) (> n 20))
(let [remainder (rem n 10)
tens (- n remainder)]
(str (names tens) (if (> remainder 0) (str " " (name-of remainder)))))
true
(names n))))
(defn four-is-magic
([n] (four-is-magic n ""))
([n prefix]
(let [name ((if (empty? prefix) clojure.string/capitalize identity) (name-of n))
new-prefix (str prefix (if (not (empty? prefix)) ", "))]
(if (= n 4)
(str new-prefix name " is magic.")
(let [len (count name)]
(four-is-magic len (str new-prefix name " is " (name-of len))))))))
(defn report [n]
(println (str n ": " (four-is-magic n))))
(defn -main [& args]
(doall (map (comp report edn/read-string) args)))
(if (not= "repl" *command-line-args*)
(apply -main *command-line-args*))

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(defun integer-to-text (int)
(format nil "~@(~A~)" (with-output-to-string (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.")))))

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program Four_is_magic;
{$APPTYPE CONSOLE}
uses
System.SysUtils;
// https://rosettacode.org/wiki/Number_names#Delphi
const
smallies: array[1..19] of string = ('one', 'two', 'three', 'four', 'five',
'six', 'seven', 'eight', 'nine', 'ten', 'eleven', 'twelve', 'thirteen',
'fourteen', 'fifteen', 'sixteen', 'seventeen', 'eighteen', 'nineteen');
tens: array[2..9] of string = ('twenty', 'thirty', 'forty', 'fifty', 'sixty',
'seventy', 'eighty', 'ninety');
function domaxies(number: int64): string;
const
maxies: array[0..5] of string = (' thousand', ' million', ' billion',
' trillion', ' quadrillion', ' quintillion');
begin
domaxies := '';
if number >= 0 then
domaxies := maxies[number];
end;
function doHundreds(number: int64): string;
begin
Result := '';
if number > 99 then
begin
Result := smallies[number div 100];
Result := Result + ' hundred';
number := number mod 100;
if number > 0 then
Result := Result + ' and ';
end;
if number >= 20 then
begin
Result := Result + tens[number div 10];
number := number mod 10;
if number > 0 then
Result := Result + '-';
end;
if (0 < number) and (number < 20) then
Result := Result + smallies[number];
end;
function spell(number: int64): string;
var
scaleFactor: int64;
maxieStart, h: int64;
begin
if number = 0 then
exit('zero');
scaleFactor := 1000000000000000000;
Result := '';
if number < 0 then
begin
number := -number;
Result := 'negative ';
end;
maxieStart := 5;
if number < 20 then
exit(smallies[number]);
while scaleFactor > 0 do
begin
if number > scaleFactor then
begin
h := number div scaleFactor;
Result := Result + doHundreds(h) + domaxies(maxieStart);
number := number mod scaleFactor;
if number > 0 then
Result := Result + ', ';
end;
scaleFactor := scaleFactor div 1000;
dec(maxieStart);
end;
end;
//****************************************************\\
const
numbers: array of Int64 = [0, 4, 6, 11, 13, 75, 100, 337, -164, int64.MaxValue];
function fourIsMagic(n: int64): string;
var
s: string;
begin
s := spell(n);
s[1] := upcase(s[1]);
var t := s;
while n <> 4 do
begin
n := s.Length;
s := spell(n);
t := t + ' is ' + s + ', ' + s;
end;
t := t + ' is magic.';
exit(t);
end;
begin
// writeln(spell(4));
for var n in numbers do
writeln(fourIsMagic(n));
readln;
end.

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//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 " ")

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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

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USING: ascii formatting io kernel make math.text.english regexp
sequences ;
IN: rosetta-code.four-is-magic
! Strip " and " and "," from the output of Factor's number>text
! word with a regular expression.
: number>english ( n -- str )
number>text R/ and |,/ "" re-replace ;
! Return the length of the input integer's text form.
! e.g. 1 -> 3
: next-len ( n -- m ) number>english length ;
! Given a starting integer, return the sequence of lengths
! terminating with 4.
! e.g. 1 -> { 1 3 5 4 }
: len-chain ( n -- seq )
[ [ dup 4 = ] [ dup , next-len ] until , ] { } make ;
! Convert a non-four number to its phrase form.
! e.g. 6 -> "six is three, "
: non-four ( 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." ] [ non-four ] if ;
: say-magic ( n -- )
len-chain [ phrase ] map concat capitalize print ;
{ 1 4 -11 100 112719908181724 -612312 } [ say-magic ] each

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MODULE FOUR_IS_MAGIC
IMPLICIT NONE
CHARACTER(8), DIMENSION(20) :: SMALL_NUMS
CHARACTER(7), DIMENSION(8) :: TENS
CHARACTER(7) :: HUNDRED
CHARACTER(8) :: THOUSAND
CHARACTER(8) :: MILLION
CHARACTER(8) :: BILLION
CHARACTER(9) :: TRILLION
CHARACTER(11) :: QUADRILLION
CHARACTER(11) :: QUINTILLION
CHARACTER(1) :: SEPARATOR
CHARACTER(1) :: SPACE
CONTAINS
SUBROUTINE INIT_ARRAYS
SMALL_NUMS(1) = "zero"
SMALL_NUMS(2) = "one"
SMALL_NUMS(3) = "two"
SMALL_NUMS(4) = "three"
SMALL_NUMS(5) = "four"
SMALL_NUMS(6) = "five"
SMALL_NUMS(7) = "six"
SMALL_NUMS(8) = "seven"
SMALL_NUMS(9) = "eight"
SMALL_NUMS(10) = "nine"
SMALL_NUMS(11) = "ten"
SMALL_NUMS(12) = "eleven"
SMALL_NUMS(13) = "twelve"
SMALL_NUMS(14) = "thirteen"
SMALL_NUMS(15) = "fourteen"
SMALL_NUMS(16) = "fifteen"
SMALL_NUMS(17) = "sixteen"
SMALL_NUMS(18) = "seventeen"
SMALL_NUMS(19) = "eighteen"
SMALL_NUMS(20) = "nineteen"
TENS(1) = "twenty"
TENS(2) = "thirty"
TENS(3) = "forty"
TENS(4) = "fifty"
TENS(5) = "sixty"
TENS(6) = "seventy"
TENS(7) = "eight"
TENS(8) = "ninety"
HUNDRED = "hundred"
THOUSAND = "thousand"
MILLION = "million"
BILLION = "billion"
TRILLION = "trillion"
QUADRILLION = "quadrillion"
QUINTILLION = "quintillion"
SEPARATOR = "-"
SPACE = " "
END SUBROUTINE INIT_ARRAYS
RECURSIVE FUNCTION STRING_REPRESENTATION(NUM) RESULT(NUM_AS_STR)
INTEGER(16), INTENT(IN) :: NUM
CHARACTER(1000) :: NUM_AS_STR
INTEGER(16), DIMENSION(9) :: COMPONENTS
CALL INIT_ARRAYS()
COMPONENTS = GET_COMPONENTS(NUM)
NUM_AS_STR = TRIM(ADJUSTL(GET_SUBSET(COMPONENTS(9), QUINTILLION)))
NUM_AS_STR = TRIM(NUM_AS_STR) // SPACE // TRIM(ADJUSTL(GET_SUBSET(COMPONENTS(8), QUADRILLION)))
NUM_AS_STR = TRIM(NUM_AS_STR) // SPACE // TRIM(ADJUSTL(GET_SUBSET(COMPONENTS(7), TRILLION)))
NUM_AS_STR = TRIM(NUM_AS_STR) // SPACE // TRIM(ADJUSTL(GET_SUBSET(COMPONENTS(6), BILLION)))
NUM_AS_STR = TRIM(NUM_AS_STR) // SPACE // TRIM(ADJUSTL(GET_SUBSET(COMPONENTS(5), MILLION)))
NUM_AS_STR = TRIM(NUM_AS_STR) // SPACE // TRIM(ADJUSTL(GET_SUBSET(COMPONENTS(4), THOUSAND)))
NUM_AS_STR = TRIM(NUM_AS_STR) // SPACE // TRIM(ADJUSTL(GET_SUBSET(COMPONENTS(3), HUNDRED)))
IF (COMPONENTS(2) .EQ. 1) THEN
NUM_AS_STR = TRIM(ADJUSTL(NUM_AS_STR)) // SPACE // TRIM(ADJUSTL(SMALL_NUMS(10 + COMPONENTS(1) + 1)))
ELSE
IF (COMPONENTS(1) .GT. 0) THEN
IF (COMPONENTS(2) .GT. 0) THEN
NUM_AS_STR = TRIM(ADJUSTL(NUM_AS_STR)) // SPACE // TRIM(ADJUSTL(TENS(COMPONENTS(2) - 1))) // SEPARATOR
NUM_AS_STR = TRIM(ADJUSTL(NUM_AS_STR)) // TRIM(ADJUSTL(SMALL_NUMS(COMPONENTS(1) + 1)))
ELSE
NUM_AS_STR = TRIM(ADJUSTL(NUM_AS_STR)) // SPACE // TRIM(ADJUSTL(SMALL_NUMS(COMPONENTS(1) + 1)))
ENDIF
ELSE IF (COMPONENTS(2) .GT. 0) THEN
NUM_AS_STR = TRIM(ADJUSTL(NUM_AS_STR)) // SPACE // TRIM(ADJUSTL(TENS(COMPONENTS(2) - 1)))
ENDIF
ENDIF
END FUNCTION STRING_REPRESENTATION
FUNCTION GET_COMPONENTS(NUM)
INTEGER(16), INTENT(IN) :: NUM
INTEGER(16), DIMENSION(9) :: GET_COMPONENTS
INTEGER(16) :: I_UNITS
INTEGER(16) :: I_TENS
INTEGER(16) :: I_HUNDREDS
INTEGER(16) :: I_THOUSANDS
INTEGER(16) :: I_MILLIONS
INTEGER(16) :: I_BILLIONS
INTEGER(16) :: I_TRILLIONS
INTEGER(16) :: I_QUADRILLIONS
INTEGER(16) :: I_QUINTILLIONS
REAL(16) DIVIDE_TEMP
I_UNITS = NUM
DIVIDE_TEMP = (I_UNITS - MOD(I_UNITS, 1000000000000000000))/1000000000000000000
I_QUINTILLIONS = FLOOR(DIVIDE_TEMP)
IF (I_QUINTILLIONS .NE. 0) THEN
I_UNITS = I_UNITS - I_QUINTILLIONS*1000000000000000000
ENDIF
DIVIDE_TEMP = (I_UNITS - MOD(I_UNITS, 1000000000000000))/1000000000000000
I_QUADRILLIONS = FLOOR(DIVIDE_TEMP)
IF (I_QUADRILLIONS .NE. 0) THEN
I_UNITS = I_UNITS - I_QUADRILLIONS*1000000000000000
ENDIF
DIVIDE_TEMP = (I_UNITS - MOD(I_UNITS, 1000000000000))/1000000000000
I_TRILLIONS = FLOOR(DIVIDE_TEMP)
IF (I_TRILLIONS .NE. 0) THEN
I_UNITS = I_UNITS - I_TRILLIONS*1000000000000
ENDIF
DIVIDE_TEMP = (I_UNITS - MOD(I_UNITS, 1000000000))/1000000000
I_BILLIONS = FLOOR(DIVIDE_TEMP)
IF (I_BILLIONS .NE. 0) THEN
I_UNITS = I_UNITS - I_BILLIONS*1000000000
ENDIF
DIVIDE_TEMP = (I_UNITS - MOD(I_UNITS, 1000000))/1000000
I_MILLIONS = FLOOR(DIVIDE_TEMP)
IF (I_MILLIONS .NE. 0) THEN
I_UNITS = I_UNITS - I_MILLIONS*1000000
ENDIF
DIVIDE_TEMP = (I_UNITS - MOD(I_UNITS, 1000))/1000
I_THOUSANDS = FLOOR(DIVIDE_TEMP)
IF (I_THOUSANDS .NE. 0) THEN
I_UNITS = I_UNITS - I_THOUSANDS*1000
ENDIF
DIVIDE_TEMP = I_UNITS/1E2
I_HUNDREDS = FLOOR(DIVIDE_TEMP)
IF (I_HUNDREDS .NE. 0) THEN
I_UNITS = I_UNITS - I_HUNDREDS*1E2
ENDIF
DIVIDE_TEMP = I_UNITS/10.
I_TENS = FLOOR(DIVIDE_TEMP)
IF (I_TENS .NE. 0) THEN
I_UNITS = I_UNITS - I_TENS*10
ENDIF
GET_COMPONENTS(1) = I_UNITS
GET_COMPONENTS(2) = I_TENS
GET_COMPONENTS(3) = I_HUNDREDS
GET_COMPONENTS(4) = I_THOUSANDS
GET_COMPONENTS(5) = I_MILLIONS
GET_COMPONENTS(6) = I_BILLIONS
GET_COMPONENTS(7) = I_TRILLIONS
GET_COMPONENTS(8) = I_QUADRILLIONS
GET_COMPONENTS(9) = I_QUINTILLIONS
END FUNCTION GET_COMPONENTS
FUNCTION GET_SUBSET(COUNTER, LABEL) RESULT(OUT_STR)
CHARACTER(*), INTENT(IN) :: LABEL
INTEGER(16), INTENT(IN) :: COUNTER
CHARACTER(100) :: OUT_STR
OUT_STR = ""
IF (COUNTER .GT. 0) THEN
IF (COUNTER .LT. 20) THEN
OUT_STR = SPACE // TRIM(ADJUSTL(SMALL_NUMS(COUNTER + 1)))
ELSE
OUT_STR = SPACE // TRIM(ADJUSTL(STRING_REPRESENTATION(COUNTER)))
ENDIF
OUT_STR = TRIM(ADJUSTL(OUT_STR)) // SPACE // TRIM(LABEL)
ENDIF
END FUNCTION GET_SUBSET
SUBROUTINE FIND_MAGIC(NUM)
INTEGER(16), INTENT(IN) :: NUM
INTEGER(16) :: CURRENT, LEN_SIZE
CHARACTER(1000) :: CURRENT_STR, CURRENT_STR_LEN
CHARACTER(1000) :: OUT_STR
CURRENT = NUM
OUT_STR = ""
DO WHILE (CURRENT .NE. 4)
CURRENT_STR = STRING_REPRESENTATION(CURRENT)
LEN_SIZE = LEN_TRIM(ADJUSTL(CURRENT_STR))
CURRENT_STR_LEN = STRING_REPRESENTATION(LEN_SIZE)
OUT_STR = TRIM(ADJUSTL(OUT_STR)) // SPACE // TRIM(ADJUSTL(CURRENT_STR))
OUT_STR = TRIM(ADJUSTL(OUT_STR)) // " is " // TRIM(ADJUSTL(CURRENT_STR_LEN)) // ","
CURRENT = LEN_SIZE
ENDDO
WRITE(*,*) TRIM(ADJUSTL(OUT_STR)) // SPACE // "four is magic."
END SUBROUTINE FIND_MAGIC
END MODULE FOUR_IS_MAGIC
PROGRAM TEST_NUM_NAME
USE FOUR_IS_MAGIC
IMPLICIT NONE
INTEGER(2) I
INTEGER(16), DIMENSION(10) :: TEST_NUMS = (/5, 13, 78, 797, 2739, 4000, 7893, 93497412, 2673497412, 10344658531277200972/)
CHARACTER(1000) :: NUM_NAME
DO I=1, SIZE(TEST_NUMS)
CALL FIND_MAGIC(TEST_NUMS(I))
ENDDO
END PROGRAM

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#define floor(x) ((x*2.0-0.5) Shr 1)
Dim Shared veintes(1 To 20) As String*9 => _
{"zero", "one", "two", "three", "four", "five", "six", _
"seven", "eight", "nine", "ten", "eleven", "twelve", "thirteen", _
"fourteen", "fifteen", "sixteen", "seventeen", "eighteen", "nineteen"}
Dim Shared decenas(1 To 8) As String*7 => _
{"twenty", "thirty", "forty", "fifty", "sixty", "seventy", "eighty", "ninety"}
Type myorder
var1 As Double
var2 As String*8
End Type
Dim Shared orders(1 To 4) As myorder => _
{(10^12,"trillion"), (10^9,"billion"), (10^6,"million"), (10^3,"thousand")}
Function centenas(n As Integer) As String
If n < 20 Then
Return veintes((n Mod 20)+1)
Elseif (n Mod 10) = 0 Then
Return decenas((floor(n/10) Mod 10)-1)
End If
Return decenas((floor(n/10) Mod 10)-1) & "-" & veintes((n Mod 10)+1)
End Function
Function miles(n As Integer) As String
If n < 100 Then
Return centenas(n)
Elseif (n Mod 100) = 0 Then
Return veintes((floor(n/100) Mod 20)+1) & " centenas"
End If
Return veintes((floor(n/100) Mod 20)+1) & " centenas " & centenas(n Mod 100)
End Function
Function triplet(n As Integer) As String
Dim As Integer order, high, low
Dim As String nombre, res = ""
For i As Integer = 1 To Ubound(orders)
order = orders(i).var1
nombre = orders(i).var2
high = floor(n/order)
low = (n Mod order)
If high <> 0 Then res &= miles(high) & " " & nombre
n = low
If low = 0 Then Exit For : End If
If Len(res) And high <> 0 Then res &= " "
Next i
If n <> 0 Or res="" Then
res &= miles(floor(n))
End If
Return res
End Function
Function deletrear(n As Integer) As String
Dim As String res = ""
If n < 0 Then
res = "negative "
n = -n
End If
res &= triplet(n)
Return res
End Function
Function fourIsMagic(n As Integer) As String
Dim As String s = deletrear(n)
s = Mid(Ucase(s), 1, 1) & Mid(s, 2, Len(s))
Dim As String t = s
While n <> 4
n = Len(s)
s = deletrear(n)
t &= " is " & s & ", " & s
Wend
t &= " is magic."
Return t
End Function
Dim As Longint tests(1 To 21) = _
{-21, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, _
34, 123, 456, 1024, 1234, 12345, 123456, 1010101}
For i As Integer = 1 To Ubound(tests)
Print Using "#######: &"; tests(i); fourIsMagic(tests(i))
Next i
Sleep

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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 right-to-left
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
}

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module Main where
import Data.List (find)
import Data.Char (toUpper)
firstNums :: [String]
firstNums =
[ "zero", "one", "two", "three", "four", "five", "six", "seven", "eight", "nine", "ten",
"eleven", "twelve", "thirteen", "fourteen", "fifteen", "sixteen", "seventeen", "eighteen", "nineteen"
]
tens :: [String]
tens = ["twenty", "thirty", "forty", "fifty", "sixty", "seventy", "eighty", "ninety"]
biggerNumbers :: [(Int, String)]
biggerNumbers =
[(100, "hundred"), (1000, "thousand"), (1000000, "million"), (1000000000, "billion"), (1000000000000, "trillion")]
cardinal :: Int -> String
cardinal n
| n' < 20 =
negText ++ firstNums !! n'
| n' < 100 =
negText ++ tens !! (n' `div` 10 - 2) ++ if n' `mod` 10 /= 0 then "-" ++ firstNums !! (n' `mod` 10) else ""
| otherwise =
let (num, name) =
maybe
(last biggerNumbers)
fst
(find (\((num_, _), (num_', _)) -> n' < num_') (zip biggerNumbers (tail biggerNumbers)))
smallerNum = cardinal (n' `div` num)
in negText ++ smallerNum ++ " " ++ name ++ if n' `mod` num /= 0 then " " ++ cardinal (n' `mod` num) else ""
where
n' = abs n
negText = if n < 0 then "negative " else ""
capitalized :: String -> String
capitalized (x : xs) = toUpper x : xs
capitalized [] = []
magic :: Int -> String
magic =
go True
where
go first num =
let cardiNum = cardinal num
in (if first then capitalized else id) cardiNum ++ " is "
++ if num == 4
then "magic."
else cardinal (length cardiNum) ++ ", " ++ go False (length cardiNum)
main :: IO ()
main = do
putStrLn $ magic 3
putStrLn $ magic 15
putStrLn $ magic 4
putStrLn $ magic 10
putStrLn $ magic 20
putStrLn $ magic (-13)
putStrLn $ magic 999999

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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 @ (<.@%&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 @<.@%&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

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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 ) : "");
}
}

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Object.getOwnPropertyNames(this).includes('BigInt')

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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 ${getCardinalRepresentation(BigInt(cardinalRepresentation.length))}`;
yield* generateFourIsMagicParts(cardinalRepresentation.length);
}
}
function capitalizeFirstLetter(str)
{
return str.replace(/^([a-z])/, chr => chr.toUpperCase());
}
function fourIsMagic(number)
{
return capitalizeFirstLetter(`${[...generateFourIsMagicParts(number)].join(", ")}.`);
}
[
0,
-150,
210,
10n ** 2703n + 1225n,
4,
-4,
10n ** 3003n + 42n
].map(fourIsMagic).join("\n\n");

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def small: ["zero", "one", "two", "three", "four", "five", "six", "seven", "eight", "nine", "ten", "eleven",
"twelve", "thirteen", "fourteen", "fifteen", "sixteen", "seventeen", "eighteen", "nineteen"];
def tens: ["", "", "twenty", "thirty", "forty", "fifty", "sixty", "seventy", "eighty", "ninety"];
def illions: ["", " thousand", " million", " billion"," trillion", " quadrillion", " quintillion"];
def say:
{n: ., t: ""}
| if .n < 0
then .t = "negative " | .n = -.n
else . end
| if .n < 20
then .t += small[.n]
elif .n < 100
then .t += tens[(.n/10)|floor]
| .s = .n % 10
| if (.s > 0) then .t += "-" + small[.s] else . end
elif .n < 1000
then .t += small[(.n/100)|floor] + " hundred"
| .s = .n % 100
| if .s > 0 then .t += " " + (.s|say) else . end
else .sx = ""
| .i = 0
| until(.n == 0;
.p = .n % 1000
| .n = (.n / 1000 |floor)
| if (.p > 0)
then .ix = (.p|say) + illions[.i]
| if (.sx != "") then .ix += " " + .sx else . end
| .sx = .ix
else .
end
| .i += 1 )
| .t += .sx
end
| .t;
def capitalize:
.[:1] as $x
| ($x | ascii_upcase) as $X
| if $x == $X then . else $X + .[1:] end;
def fourIsMagic:
{n: ., s: (say | capitalize)}
| .t = .s
| until(.n == 4;
.n = (.s|length)
| .s = (.n | say)
| .t += " is " + .s + ", " + .s )
| .t + " is magic." ;
(0, 4, 6, 11, 13, 75, 100, 337, -164, 9007199254740991)
| fourIsMagic

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@ -0,0 +1,101 @@
# 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

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@ -0,0 +1,108 @@
// version 1.1.4-3
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()
}
}

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-- 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

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magic[num_] := Capitalize[ StringRiffle[ Partition[
FixedPointList[IntegerName[StringLength[#], "Cardinal"] &, IntegerName[num, "Cardinal"]],
2, 1] /. {n_, n_} :> {n, "magic"}, ", ", " is "] <> "."]

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@ -0,0 +1,67 @@
import strutils
const
Small = ["zero", "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"]
Illions = ["", " thousand", " million", " billion", " trillion", " quadrillion", " quintillion"]
#---------------------------------------------------------------------------------------------------
func say(n: int64): string =
var n = n
if n < 0:
result = "negative "
n = -n
if n < 20:
result &= Small[n]
elif n < 100:
result &= Tens[n div 10]
let m = n mod 10
if m != 0: result &= '-' & Small[m]
elif n < 1000:
result &= Small[n div 100] & " hundred"
let m = n mod 100
if m != 0: result &= ' ' & m.say()
else:
# Work from right to left.
var sx = ""
var i = 0
while n > 0:
let m = n mod 1000
n = n div 1000
if m != 0:
var ix = m.say() & Illions[i]
if sx.len > 0: ix &= " " & sx
sx = ix
inc i
result &= sx
#---------------------------------------------------------------------------------------------------
func fourIsMagic(n: int64): string =
var n = n
var s = n.say().capitalizeAscii()
result = s
while n != 4:
n = s.len.int64
s = n.say()
result &= " is " & s & ", " & s
result &= " is magic."
#———————————————————————————————————————————————————————————————————————————————————————————————————
for n in [int64 0, 4, 6, 11, 13, 75, 100, 337, -164, int64.high]:
echo fourIsMagic(n)

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@ -0,0 +1,25 @@
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;

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(phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #000080;font-style:italic;">--&lt;adapted from demo\rosetta\number_names.exw, which alas outputs ",", "and", uses "minus" instead of "negative", etc...&gt;</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">twenties</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #008000;">"zero"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"one"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"two"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"three"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"four"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"five"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"six"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"seven"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"eight"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"nine"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"ten"</span><span style="color: #0000FF;">,</span>
<span style="color: #008000;">"eleven"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"twelve"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"thirteen"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"fourteen"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"fifteen"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"sixteen"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"seventeen"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"eighteen"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"nineteen"</span><span style="color: #0000FF;">},</span>
<span style="color: #000000;">decades</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #008000;">"twenty"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"thirty"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"forty"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"fifty"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"sixty"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"seventy"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"eighty"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"ninety"</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">hundred</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">n</span><span style="color: #0000FF;"><</span><span style="color: #000000;">20</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">twenties</span><span style="color: #0000FF;">[</span><span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">20</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">elsif</span> <span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">decades</span><span style="color: #0000FF;">[</span><span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">/</span><span style="color: #000000;">10</span><span style="color: #0000FF;">),</span><span style="color: #000000;">10</span><span style="color: #0000FF;">)-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">decades</span><span style="color: #0000FF;">[</span><span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">/</span><span style="color: #000000;">10</span><span style="color: #0000FF;">),</span><span style="color: #000000;">10</span><span style="color: #0000FF;">)-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">&</span> <span style="color: #008000;">'-'</span> <span style="color: #0000FF;">&</span> <span style="color: #000000;">twenties</span><span style="color: #0000FF;">[</span><span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">thousand</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">n</span><span style="color: #0000FF;"><</span><span style="color: #000000;">100</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">hundred</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">elsif</span> <span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">100</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">twenties</span><span style="color: #0000FF;">[</span><span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">/</span><span style="color: #000000;">100</span><span style="color: #0000FF;">),</span><span style="color: #000000;">20</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]&</span><span style="color: #008000;">" hundred"</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">twenties</span><span style="color: #0000FF;">[</span><span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">/</span><span style="color: #000000;">100</span><span style="color: #0000FF;">),</span><span style="color: #000000;">20</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">&</span> <span style="color: #008000;">" hundred "</span> <span style="color: #0000FF;">&</span> <span style="color: #000000;">hundred</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">100</span><span style="color: #0000FF;">))</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">orders</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">12</span><span style="color: #0000FF;">),</span><span style="color: #008000;">"trillion"</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{</span><span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">9</span><span style="color: #0000FF;">),</span><span style="color: #008000;">"billion"</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{</span><span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">6</span><span style="color: #0000FF;">),</span><span style="color: #008000;">"million"</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{</span><span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">),</span><span style="color: #008000;">"thousand"</span><span style="color: #0000FF;">}}</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">triplet</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">orders</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #0000FF;">{</span><span style="color: #004080;">atom</span> <span style="color: #000000;">order</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">string</span> <span style="color: #000000;">name</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">orders</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">high</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">/</span><span style="color: #000000;">order</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">low</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">order</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">high</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">thousand</span><span style="color: #0000FF;">(</span><span style="color: #000000;">high</span><span style="color: #0000FF;">)&</span><span style="color: #008000;">' '</span><span style="color: #0000FF;">&</span><span style="color: #000000;">name</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">low</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">low</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">and</span> <span style="color: #000000;">high</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #008000;">" "</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">or</span> <span style="color: #000000;">res</span><span style="color: #0000FF;">=</span><span style="color: #008000;">""</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">thousand</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">))</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">spell</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">n</span><span style="color: #0000FF;"><</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"negative "</span>
<span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">n</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">triplet</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #000080;font-style:italic;">--&lt;/adapted from number_names.exw&gt;</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">fourIsMagic</span><span style="color: #0000FF;">(</span><span style="color: #004080;">atom</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">s</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">spell</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">upper</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">])</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">s</span>
<span style="color: #008080;">while</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">4</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">s</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">spell</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">t</span> <span style="color: #0000FF;">&=</span> <span style="color: #008000;">" is "</span> <span style="color: #0000FF;">&</span> <span style="color: #000000;">s</span> <span style="color: #0000FF;">&</span> <span style="color: #008000;">", "</span> <span style="color: #0000FF;">&</span> <span style="color: #000000;">s</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<span style="color: #000000;">t</span> <span style="color: #0000FF;">&=</span> <span style="color: #008000;">" is magic.\n"</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">t</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">tests</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{-</span><span style="color: #000000;">7</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">3</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">23</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">1e9</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">20140</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">100</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">130</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">151</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">999999</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tests</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">fourIsMagic</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tests</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]))</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<!--

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@ -0,0 +1,164 @@
import random
from collections import OrderedDict
numbers = { # taken from https://en.wikipedia.org/wiki/Names_of_large_numbers#cite_ref-a_14-3
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')

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@ -0,0 +1,16 @@
C:``one`two`three`four`five`six`seven`eight`nine`ten,
`eleven`twelve`thirteen`fourteen`fifteen`sixteen`seventeen`eighteen`nineteen / cardinal numbers <20
T:``ten`twenty`thirty`forty`fifty`sixty`seventy`eighty`ninety / tens
M:``thousand`million`billion`trillion`quadrillion`quintillion`sextillion`septillion / magnitudes
st:{ / stringify <1000
$[x<20; C x;
x<100; (T;C)@'10 vs x;
{C[y],`hundred,$[z=0;`;x z]}[.z.s] . 100 vs x] }
s:{$[x=0; "zero"; {" "sv string except[;`]raze x{$[x~`;x;x,y]}'M reverse til count x} st each 1000 vs x]} / stringify
fim:{@[;0;upper],[;"four is magic.\n"] raze 1_{y," is ",x,", "}prior s each(count s@)\[x]} / four is magic
1 raze fim each 0 4 8 16 25 89 365 2586 25865 369854 40000000001; / tests

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@ -0,0 +1,6 @@
q)show sl:count each string C / string lengths
0 3 3 5 4 4 3 5 5 4 3 6 6 8 8 7 7 9 8 8
q)sl\[18]
18 8 5 4
q)sl\[19]
19 8 5 4

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@ -0,0 +1,62 @@
# provided by neonira
integerToText <- function(value_n_1) {
english_words_for_numbers <- list(
simples = c(
'zero', 'one', 'two', 'three', 'four', 'five', 'six', 'seven', 'eight', 'nine',
'ten', 'eleven', 'twelve', 'thirteen', 'fourteen', 'fifteen', 'sixteen', 'seventeen', 'eighteen', 'nineteen'
),
tens = c('twenty', 'thirty', 'forty', 'fifty', 'sixty', 'seventy', 'eighty', 'ninety'),
powers = c(
'hundred' = 100,
'thousand' = 1000,
'million' = 1000000,
'billion' = 1000000000,
'trillion' = 1000000000000,
'quadrillion' = 1000000000000000,
'quintillion' = 1000000000000000000
)
)
buildResult <- function(x_s) {
if (value_n_1 < 0) return(paste('minus', x_s))
x_s
}
withDash <- function(a_s, b_s) paste(a_s, b_s, sep = '-')
val <- abs(value_n_1)
if (val < 20L) return(buildResult(english_words_for_numbers$simples[val + 1L]))
if (val < 100L) {
tens <- val %/% 10L - 1L
reminder <- val %% 10L
if (reminder == 0L) return(buildResult(english_words_for_numbers$ten[tens]))
return(buildResult(withDash(english_words_for_numbers$ten[tens], Recall(reminder))))
}
index <- l <- length(english_words_for_numbers$powers)
for(power in seq_len(l)) {
if (val < english_words_for_numbers$powers[power]) {
index <- power - 1L
break
}
}
f <- Recall(val %/% english_words_for_numbers$powers[index])
reminder <- val %% english_words_for_numbers$powers[index]
if (reminder == 0L) return(buildResult(paste(f, names(english_words_for_numbers$powers)[index])))
buildResult(paste(f, names(english_words_for_numbers$powers)[index], Recall(reminder)))
}
magic <- function(value_n_1) {
text <- vector('character')
while(TRUE) {
r <- integerToText(value_n_1)
nc <- nchar(r)
complement <- ifelse(value_n_1 == 4L, "is magic", paste("is", integerToText(nc)))
text[length(text) + 1L] <- paste(r, complement)
if (value_n_1 == 4L) break
value_n_1 <- nc
}
buildSentence <- function(x_s) paste0(toupper(substr(x_s, 1L, 1L)), substring(x_s, 2L), '.')
buildSentence(paste(text, collapse = ', '))
}

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@ -0,0 +1,22 @@
/*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.*/
#= @.#; 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. */

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@ -0,0 +1,55 @@
#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])
(define-values [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) (list-ref smalls n)]
[(< n 100) (step 10 #f "-" (curry list-ref 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 (first-cap s)
(~a (string-upcase (substring s 0 1)) (substring s 1)))
(define (magic word [acc null])
(if (equal? word "four")
(string-join (reverse (cons "four is magic." acc)) ", \n")
(let* ([word-len (string-length word)]
[words (number->words word-len)])
(magic words
(cons (string-append word " is " words) acc)))))
(define (number-magic n)
(first-cap (magic (number->words n))))
(for ([n (append (range 11)
'(-10 23 172 20140 100 130 999999 876000000
874143425855745733896030))])
(displayln n)
(displayln (number-magic n))
(newline))

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@ -0,0 +1,19 @@
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;

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@ -0,0 +1,110 @@
/* 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)

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@ -0,0 +1,76 @@
module NumberToWord
NUMBERS = { # taken from https://en.wikipedia.org/wiki/Names_of_large_numbers#cite_ref-a_14-3
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'}.reverse_each.to_h
refine Integer do
def to_english
return 'zero' if i.zero?
words = self < 0 ? ['negative'] : []
i = self.abs
NUMBERS.each do |k, v|
if k <= i then
times = i/k
words << times.to_english if k >= 100
words << v
i -= times * k
end
return words.join(" ") if i.zero?
end
end
end
end
using NumberToWord
def magic4(n)
words = []
until n == 4
s = n.to_english
n = s.size
words << "#{s} is #{n.to_english}"
end
words << "four is magic."
words.join(", ").capitalize
end
[0, 4, 6, 11, 13, 75, 337, -164, 9_876_543_209].each{|n| puts magic4(n) }

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@ -0,0 +1,78 @@
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;
}

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@ -0,0 +1,23 @@
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)
}

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@ -0,0 +1,24 @@
import Foundation
func fourIsMagic(_ number: NSNumber) -> String {
let formatter = NumberFormatter()
formatter.numberStyle = .spellOut
formatter.locale = Locale(identifier: "en_EN")
var result: [String] = []
var numberString = formatter.string(from: number)!
result.append(numberString.capitalized)
while numberString != "four" {
numberString = formatter.string(from: NSNumber(value: numberString.count))!
result.append(contentsOf: [" is ", numberString, ", ", numberString])
}
result.append(" is magic.")
return result.joined()
}
for testInput in [23, 1000000000, 20140, 100, 130, 151, -7] {
print(fourIsMagic(testInput as NSNumber))
}

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@ -0,0 +1,81 @@
#!/usr/bin/env bash
name_of() {
# return the English name for a numeric value
local -i n=$1
if (( n < 0 )); then
printf 'negative %s\n' "$(name_of $(( -n )))"
return 0
fi
# Names for numbers that fit in a bash integer
local -A names=([0]=zero [1]=one [2]=two [3]=three [4]=four [5]=five
[6]=six [7]=seven [8]=eight [9]=nine [10]=ten [11]=eleven
[12]=twelve [13]=thirteen [14]=fourteen [15]=fifteen
[16]=sixteen [17]=seventeen [18]=eighteen [19]=nineteen
[20]=twenty [30]=thirty [40]=forty [50]=fifty [60]=sixty
[70]=seventy [80]=eighty [90]=ninety [100]=hundred
[1000]=thousand [1000000]=million [1000000000]=billion
[1000000000000]=trillion [1000000000000000]=quadrillion
[1000000000000000000]=quintillion)
# The powers of 10 above 10, in descending order
local powers_of_10=($(printf '%s\n' "${!names[@]}" | sort -nr | grep '00$'))
# 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[$i]}
done
# if we found one, split on it and construct quotient 'name' remainder
if (( n >= p )); then
local -i quotient=n/p
local -i remainder=n%p
local remname=
if (( remainder > 0 )); then
remname=$(name_of $remainder)
fi
printf '%s %s\n' "$(name_of $quotient)" "${names[$p]}${remname:+ $remname}"
elif (( n > 20 )); then
# things are a little different under 100, since the multiples of
# 10 have their own names
local -i remainder=n%10
local -i tens=n-remainder
local remname=
if (( remainder > 0 )); then
remname=-$(name_of $remainder)
fi
printf '%s\n' "${names[$tens]}${remname:+$remname}"
else
printf '%s\n' "${names[$n]}"
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
}

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@ -0,0 +1,76 @@
import math
fn main() {
for n in [i64(0), 4, 6, 11, 13, 75, 100, 337, -164,
math.max_i64,
] {
println(four_is_magic(n))
}
}
fn four_is_magic(nn i64) string {
mut n := nn
mut s := say(n)
s = s[..1].to_upper() + s[1..]
mut t := s
for n != 4 {
n = i64(s.len)
s = say(n)
t += " is " + s + ", " + s
}
t += " is magic."
return t
}
const small = ["zero", "one", "two", "three", "four", "five", "six",
"seven", "eight", "nine", "ten", "eleven", "twelve", "thirteen",
"fourteen", "fifteen", "sixteen", "seventeen", "eighteen", "nineteen"]
const tens = ["", "", "twenty", "thirty", "forty",
"fifty", "sixty", "seventy", "eighty", "ninety"]
const illions = ["", " thousand", " million", " billion",
" trillion", " quadrillion", " quintillion"]
fn say(nn i64) string {
mut t := ''
mut n := nn
if n < 0 {
t = "negative "
// Note, for math.MinInt64 this leaves n negative.
n = -n
}
match true {
n < 20 {
t += small[n]
}
n < 100 {
t += tens[n/10]
s := n % 10
if s > 0 {
t += "-" + small[s]
}
}
n < 1000 {
t += small[n/100] + " hundred"
s := n % 100
if s > 0 {
t += " " + say(s)
}
}
else {
// work right-to-left
mut sx := ""
for i := 0; n > 0; i++ {
p := n % 1000
n /= 1000
if p > 0 {
mut ix := say(p) + illions[i]
if sx != "" {
ix += " " + sx
}
sx = ix
}
}
t += sx
}
}
return t
}

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@ -0,0 +1,58 @@
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
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) {
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))
}

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@ -0,0 +1,14 @@
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,*]
}

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@ -0,0 +1,3 @@
foreach n in (T(0,4,6,11,13,75,337,-164,9876543209)){
println(fourIsMagic(n),"\n")
}