Data update

This commit is contained in:
Ingy döt Net 2026-04-30 12:34:36 -04:00
parent 4bb20c9b71
commit cbaf4c4b64
12390 changed files with 318560 additions and 27248 deletions

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@ -0,0 +1,38 @@
WITH GMP, GMP.Integers, Ada.Text_IO, GMP.Integers.Aliased_Internal_Value, Interfaces.C;
USE GMP, Gmp.Integers, Ada.Text_IO, Interfaces.C;
PROCEDURE Main IS
FUNCTION "+" (U : Unbounded_Integer) RETURN Mpz_T IS (Aliased_Internal_Value (U));
FUNCTION "+" (S : String) RETURN Unbounded_Integer IS (To_Unbounded_Integer (S));
FUNCTION Image_Cleared (M : Mpz_T) RETURN String IS (Image (To_Unbounded_Integer (M)));
N : Unbounded_Integer := +"9516311845790656153499716760847001433441357";
E : Unbounded_Integer := +"65537";
D : Unbounded_Integer := +"5617843187844953170308463622230283376298685";
Plain_Text : CONSTANT String := "Rosetta Code";
M, M_C, M_D : Mpz_T;
-- We import two C functions from the GMP library which are not in the specs of the gmp package
PROCEDURE Mpz_Import
(Rop : Mpz_T; Count : Size_T; Order : Int; Size : Size_T; Endian : Int;
Nails : Size_T; Op : Char_Array);
PRAGMA Import (C, Mpz_Import, "__gmpz_import");
PROCEDURE Mpz_Export
(Rop : OUT Char_Array; Count : ACCESS Size_T; Order : Int; Size : Size_T;
Endian : Int; Nails : Size_T; Op : Mpz_T);
PRAGMA Import (C, Mpz_Export, "__gmpz_export");
BEGIN
Mpz_Init (M);
Mpz_Init (M_C);
Mpz_Init (M_D);
Mpz_Import (M, Plain_Text'Length + 1, 1, 1, 0, 0, To_C (Plain_Text));
Mpz_Powm (M_C, M, +E, +N);
Mpz_Powm (M_D, M_C, +D, +N);
Put_Line ("Encoded plain text: " & Image_Cleared (M));
DECLARE Decrypted : Char_Array (1 .. Mpz_Sizeinbase (M_C, 256));
BEGIN
Put_Line ("Encryption of this encoding: " & Image_Cleared (M_C));
Mpz_Export (Decrypted, NULL, 1, 1, 0, 0, M_D);
Put_Line ("Decryption of the encoding: " & Image_Cleared (M_D));
Put_Line ("Final decryption: " & To_Ada (Decrypted));
END;
END Main;

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@ -0,0 +1,201 @@
func[] bn s$ .
i = len s$ - 7 + 1
while i >= -5
r[] &= number substr s$ i 7
i -= 7
.
return r[]
.
func$ str bn[] .
s$ = bn[$]
for i = len bn[] - 1 downto 1
h$ = bn[i]
s$ &= substr "0000000" 1 (7 - len h$) & h$
.
return s$
.
func[] bnmul a[] b[] .
len r[] len a[] + len b[]
if len a[] > len b[] : swap a[] b[]
for ia = 1 to len a[]
h = 0
for ib = 1 to len b[]
h += r[ia + ib - 1] + b[ib] * a[ia]
r[ia + ib - 1] = h mod 10000000
h = h div 10000000
.
r[ia + ib - 1] += h
.
while r[$] = 0 and len r[] > 1 : len r[] -1
return r[]
.
func[] bnadd a[] b[] .
if len b[] > len a[] : swap a[] b[]
len r[] len a[]
for i = 1 to len r[]
v = 0
if i <= len b[] : v = b[i]
h += a[i] + v
r[i] = h mod 10000000
h = h div 10000000
.
if h > 0 : r[] &= h
while len r[] > 1 and r[$] = 0 : len r[] -1
return r[]
.
func bncmp a[] b[] .
if len a[] > len b[] : return 1
if len a[] < len b[] : return -1
for i = len a[] downto 1
if a[i] > b[i] : return 1
if a[i] < b[i] : return -1
.
return 0
.
func[] bnsub a[] b[] .
len r[] len a[]
for i = 1 to len r[]
v = 0
if i <= len b[] : v = b[i]
h = a[i] - v - h
if h < 0
r[i] = h + 10000000
h = 1
else
r[i] = h
h = 0
.
.
while r[$] = 0 and len r[] > 1 : len r[] -1
return r[]
.
func[][] bndivmod a[] b[] .
if bncmp a[] b[] < 0 : return [ [ 0 ] a[] ]
lb = len b[]
d = 10000000 div (b[lb] + 1)
if d > 1
for i = 1 to lb
carry += b[i] * d
b[i] = carry mod 10000000
carry = carry div 10000000
.
for i = 1 to len a[]
carry += a[i] * d
a[i] = carry mod 10000000
carry = carry div 10000000
.
.
a[] &= carry
#
len q[] len a[] - lb
v1 = b[lb]
if lb >= 2 : v2 = b[lb - 1]
for j = len q[] downto 1
u0 = a[j + lb]
u1 = a[j + lb - 1]
u2 = 0
if j + lb >= 2 : u2 = a[j + lb - 2]
if u0 = v1
qhat = 9999999
rhat = u1 + v1
else
h = u0 * 10000000 + u1
qhat = h div v1
rhat = h mod v1
.
while rhat < 10000000 and qhat * v2 > 10000000 * rhat + u2
qhat -= 1
rhat += v1
.
k = 0
for i = 1 to lb
p = qhat * b[i] + k
k = p div 10000000
t = a[j + i - 1] - (p mod 10000000)
if t < 0
t += 10000000
k += 1
.
a[j + i - 1] = t
.
t = a[j + lb] - k
if t < 0
qhat -= 1
k = 0
for i = 1 to lb
t = a[j + i - 1] + b[i] + k
a[j + i - 1] = t mod 10000000
k = t div 10000000
.
a[j + lb] = t + k
else
a[j + lb] = t
.
q[j] = qhat
.
if d > 1
k = 0
for i = lb downto 1
t = k * 10000000 + a[i]
a[i] = t div d
k = t mod d
.
.
len a[] lb
while len q[] > 1 and q[len q[]] = 0 : len q[] len q[] - 1
while len a[] > 1 and a[len a[]] = 0 : len a[] len a[] - 1
return [ q[] a[] ]
.
func[] bnmod a[] n[] .
result[][] = bndivmod a[] n[]
return result[2][]
.
func[] bnpowmod base[] exp[] m[] .
r[] = [ 1 ]
b[] = bnmod base[] m[]
e[] = exp[]
while bncmp e[] [ 0 ] > 0
if e[1] mod 2 = 1
r[] = bnmul r[] b[]
r[] = bnmod r[] m[]
.
h = 0
for i = len e[] downto 1
h = h * 10000000 + e[i]
e[i] = h div 2
h = h mod 2
.
while e[$] = 0 and len e[] > 1 : len e[] -1
b[] = bnmul b[] b[]
b[] = bnmod b[] m[]
.
return r[]
.
#
n[] = bn "9516311845790656153499716760847001433441357"
e[] = bn "65537"
d[] = bn "5617843187844953170308463622230283376298685"
#
m$ = "Rosetta Code"
print "Plain: " & m$
for c$ in strchars m$
h = strcode c$ - 28
if h <= 9 : mn$ &= 0
mn$ &= h
.
print "Encoded: " & mn$
m[] = bn mn$
# Encrypt: c = m^e mod n
c[] = bnpowmod m[] e[] n[]
print "Encrypted: " & str c[]
print ""
#
# Decrypt: m = c^d mod n
m2[] = bnpowmod c[] d[] n[]
print "Decrypted: " & str m2[]
mn$ = str m2[]
m$ = ""
for i = 1 step 2 to len mn$
m$ &= strchar (number substr mn$ i 2 + 28)
.
print "Decoded: " & m$

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@ -1,32 +1,30 @@
(notonline)-->
<span style="color: #008080;">without</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">include</span> <span style="color: #000000;">builtins</span><span style="color: #0000FF;">/</span><span style="color: #004080;">mpfr</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
without javascript_semantics
include builtins/mpfr.e
<span style="color: #004080;">mpz</span> <span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"9516311845790656153499716760847001433441357"</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">e</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"65537"</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">d</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"5617843187844953170308463622230283376298685"</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">pt</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(),</span>
<span style="color: #000000;">ct</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">()</span>
mpz n = mpz_init("9516311845790656153499716760847001433441357"),
e = mpz_init("65537"),
d = mpz_init("5617843187844953170308463622230283376298685"),
pt = mpz_init(),
ct = mpz_init()
<span style="color: #004080;">string</span> <span style="color: #000000;">plaintext</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"Rossetta Code"</span> <span style="color: #000080;font-style:italic;">-- matches C/zkl
-- "Rosetta Code" -- matches D/FreeBasic/Go/Icon/J/Kotlin/Seed7.</span>
string plaintext = "Rossetta Code" -- matches C/zkl
-- "Rosetta Code" -- matches D/FreeBasic/Go/Icon/J/Kotlin/Seed7.
<span style="color: #000000;">mpz_import</span><span style="color: #0000FF;">(</span><span style="color: #000000;">pt</span><span style="color: #0000FF;">,</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">plaintext</span><span style="color: #0000FF;">),</span> <span style="color: #000000;">1</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;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">plaintext</span><span style="color: #0000FF;">)</span>
mpz_import(pt, length(plaintext), 1, 1, 0, 0, plaintext)
<span style="color: #008080;">if</span> <span style="color: #7060A8;">mpz_cmp</span><span style="color: #0000FF;">(</span><span style="color: #000000;">pt</span><span style="color: #0000FF;">,</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: #0000FF;">?</span><span style="color: #000000;">9</span><span style="color: #0000FF;">/</span><span style="color: #000000;">0</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
if mpz_cmp(pt, n)>0 then ?9/0 end if
<span style="color: #7060A8;">mpz_powm</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ct</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">pt</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">e</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">);</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"Encoded: %s\n"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #7060A8;">mpz_get_str</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ct</span><span style="color: #0000FF;">)})</span>
mpz_powm(ct, pt, e, n);
printf(1,"Encoded: %s\n", {mpz_get_str(ct)})
<span style="color: #7060A8;">mpz_powm</span><span style="color: #0000FF;">(</span><span style="color: #000000;">pt</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">ct</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">d</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">);</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"Decoded: %s\n"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #7060A8;">mpz_get_str</span><span style="color: #0000FF;">(</span><span style="color: #000000;">pt</span><span style="color: #0000FF;">)})</span>
mpz_powm(pt, ct, d, n);
printf(1,"Decoded: %s\n", {mpz_get_str(pt)})
<span style="color: #004080;">integer</span> <span style="color: #000000;">size</span> <span style="color: #0000FF;">=</span><span style="color: #7060A8;">floor</span><span style="color: #0000FF;">((</span><span style="color: #7060A8;">mpz_sizeinbase</span><span style="color: #0000FF;">(</span><span style="color: #000000;">pt</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">7</span><span style="color: #0000FF;">)/</span><span style="color: #000000;">8</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">pMem</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">allocate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">size</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">count</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">mpz_export</span><span style="color: #0000FF;">(</span><span style="color: #000000;">pMem</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">1</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;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">pt</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">count</span><span style="color: #0000FF;">></span><span style="color: #000000;">size</span> <span style="color: #008080;">then</span> <span style="color: #0000FF;">?</span><span style="color: #000000;">9</span><span style="color: #0000FF;">/</span><span style="color: #000000;">0</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
integer size = floor((mpz_sizeinbase(pt,2)+7)/8)
atom pMem = allocate(size,true)
integer count = mpz_export(pMem, 1, 1, 0, 0, pt)
if count>size then ?9/0 end if
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"As String: %s\n"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #7060A8;">peek</span><span style="color: #0000FF;">({</span><span style="color: #000000;">pMem</span><span style="color: #0000FF;">,</span><span style="color: #000000;">count</span><span style="color: #0000FF;">})})</span>
printf(1,"As String: %s\n", {peek({pMem,count})})
<span style="color: #0000FF;">{</span><span style="color: #000000;">pt</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">ct</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">e</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">d</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_free</span><span style="color: #0000FF;">({</span><span style="color: #000000;">pt</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">ct</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">e</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">d</span><span style="color: #0000FF;">})</span>
<!--
{pt, ct, n, e, d} = mpz_free({pt, ct, n, e, d})

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@ -0,0 +1,39 @@
require "bignum"
require "table2"
local pt = "Rosetta Code"
print($"Plain text: : {pt}")
local n = bigint.new("9516311845790656153499716760847001433441357")
local e = bigint.new("65537")
local d = bigint.new("5617843187844953170308463622230283376298685")
local ptn = bigint.zero
-- Convert plain text to a number.
for {pt:byte(1, #pt)} as b do
ptn = bigint.bor(bigint.shl(ptn, 8), bigint.new(b))
end
if ptn >= n then
print("Plain text message too long")
os.exit(1)
end
print($"Plain text as a number : {ptn}")
-- Encode a single number.
local etn = bigint.modpow(ptn, e, n)
print($"Encoded : {etn}")
-- Decode a single number.
local dtn = bigint.modpow(etn, d, n)
print($"Decoded : {dtn}")
-- Convert number to text.
local db = table.rep(16, 0)
local dx = 16
local bff = bigint.new(255)
while dtn:bitlength() > 0 do
db[dx] = bigint.toplain(bigint.band(dtn, bff))
dx -= 1
dtn = bigint.shr(dtn, 8)
end
local s = ""
for i = dx + 1, 16 do s ..= string.char(db[i]) end
print($"Decoded number as text : {s}")

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@ -0,0 +1,13 @@
$n = [BigInt]::Parse("9516311845790656153499716760847001433441357")
$e = [BigInt]::new(65537)
$d = [BigInt]::Parse("5617843187844953170308463622230283376298685")
$plaintextstring = "Hello, Rosetta!"
$plaintext = [Text.ASCIIEncoding]::ASCII.GetBytes($plaintextstring)
[BigInt]$pt = [BigInt]::new($plaintext)
if ($n -lt $pt) {throw "`$n = $n < $pt = `$pt"}
$ct = [BigInt]::ModPow($pt, $e, $n)
"Encoded: $ct"
$dc = [BigInt]::ModPow($ct, $d, $n)
"Decoded: $dc"
$decoded = [Text.ASCIIEncoding]::ASCII.GetString($dc.ToByteArray())
"As ASCII: $decoded"

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@ -2,34 +2,34 @@
fn main() {
//var bb, ptn, etn, dtn big.Int
pt := "Rosetta Code"
println("Plain text: $pt")
println("Plain text: $pt")
// a key set big enough to hold 16 bytes of plain text in
// a single block (to simplify the example) and also big enough
// to demonstrate efficiency of modular exponentiation.
n := big.integer_from_string("9516311845790656153499716760847001433441357")?
e := big.integer_from_string("65537")?
d := big.integer_from_string("5617843187844953170308463622230283376298685")?
n := big.integer_from_string("9516311845790656153499716760847001433441357")!
e := big.integer_from_string("65537")!
d := big.integer_from_string("5617843187844953170308463622230283376298685")!
mut ptn := big.zero_int
// convert plain text to a number
for b in pt.bytes() {
bb := big.integer_from_i64(i64(b))
ptn = ptn.lshift(8).bitwise_or(bb)
ptn = ptn.left_shift(8).bitwise_or(bb)
}
if ptn >= n {
println("Plain text message too long")
return
}
println("Plain text as a number:$ptn")
println("Plain text as a number: $ptn")
// encode a single number
etn := ptn.big_mod_pow(e,n)
println("Encoded: $etn")
etn := ptn.big_mod_pow(e,n)!
println("Encoded: $etn")
// decode a single number
mut dtn := etn.big_mod_pow(d,n)
println("Decoded: $dtn")
mut dtn := etn.big_mod_pow(d,n)!
println("Decoded: $dtn")
// convert number to text
mut db := [16]u8{}
@ -39,44 +39,44 @@ fn main() {
dx--
bb := dtn.bitwise_and(bff)
db[dx] = u8(i64(bb.int()))
dtn = dtn.rshift(8)
dtn = dtn.right_shift(8)
println('${db[0..].bytestr()} ${dtn.bit_len()}')
}
println("Decoded number as text: ${db[dx..].bytestr()}")
}*/
}
*/
import math.big
fn main() {
//var bb, ptn, etn, dtn big.Int
pt := "Hello World"
println("Plain text: $pt")
println("Plain text: $pt")
// a key set big enough to hold 16 bytes of plain text in
// a single block (to simplify the example) and also big enough
// to demonstrate efficiency of modular exponentiation.
n := big.integer_from_string("9516311845790656153499716760847001433441357")?
e := big.integer_from_string("65537")?
d := big.integer_from_string("5617843187844953170308463622230283376298685")?
n := big.integer_from_string("9516311845790656153499716760847001433441357")!
e := big.integer_from_string("65537")!
d := big.integer_from_string("5617843187844953170308463622230283376298685")!
mut ptn := big.zero_int
// convert plain text to a number
for b in pt.bytes() {
bb := big.integer_from_i64(i64(b))
ptn = ptn.lshift(8).bitwise_or(bb)
ptn = ptn.left_shift(8).bitwise_or(bb)
}
if ptn >= n {
println("Plain text message too long")
return
}
println("Plain text as a number:$ptn")
println("Plain text as a number: $ptn")
// encode a single number
etn := ptn.big_mod_pow(e,n)
println("Encoded: $etn")
etn := ptn.big_mod_pow(e,n)!
println("Encoded: $etn")
// decode a single number
mut dtn := etn.big_mod_pow(d,n)
println("Decoded: $dtn")
mut dtn := etn.big_mod_pow(d,n)!
println("Decoded: $dtn")
// convert number to text
mut db := [16]u8{}
@ -86,7 +86,7 @@ fn main() {
dx--
bb := dtn.bitwise_and(bff)
db[dx] = u8(i64(bb.int()))
dtn = dtn.rshift(8)
dtn = dtn.right_shift(8)
}
println("Decoded number as text: ${db[dx..].bytestr()}")
}