Datasets:
repo string | file_path string | code string | tokens int64 |
|---|---|---|---|
imezx/InfiniteMath | imezx-InfiniteMath-f44c4db/src/InfiniteMath/Int.luau | --!native
local Int = {}
Int.__index = Int
export type Int = typeof(setmetatable({
sign = 0 :: number, -- -1, 0, +1
limbs = {} :: { number }, -- little-endian uint32 limbs (base 2^32)
}, Int))
local function trimLimbs(limbs: { number })
while #limbs > 0 and limbs[#limbs] == 0 do
table.remove(limbs)
end
end
local function cloneArray(t: { number }): { number }
local out = table.create(#t)
for i = 1, #t do
out[i] = t[i]
end
return out
end
local function assertEndian(endian: string)
if endian ~= "le" and endian ~= "be" then
error(("Invalid endian '%s'. Use 'le' or 'be'."):format(endian))
end
end
local function assertBytes(bytes: { number })
if type(bytes) ~= "table" then
error("bytes must be an array/table of integers 0..255")
end
for i = 1, #bytes do
local b = bytes[i]
if type(b) ~= "number" or b % 1 ~= 0 or b < 0 or b > 255 then
error(("bytes[%d] is not a valid byte (0..255 integer). Got: %s"):format(i, b))
end
end
end
local function toLEBytes(endian: string, bytes: { number }): { number }
if endian == "le" then
return cloneArray(bytes)
end
local out = table.create(#bytes)
for i = 1, #bytes do
out[i] = bytes[#bytes - i + 1]
end
return out
end
local function fromLEBytes(endian: string, leBytes: { number }): { number }
if endian == "le" then
return leBytes
end
local out = table.create(#leBytes)
for i = 1, #leBytes do
out[i] = leBytes[#leBytes - i + 1]
end
return out
end
local function twosComplementToMagnitudeLE(leBytes: { number }): { number }
local n = #leBytes
local out = table.create(n)
for i = 1, n do
out[i] = 255 - leBytes[i]
end
-- +1
local carry = 1
for i = 1, n do
local v = out[i] + carry
if v >= 256 then
out[i] = v - 256
carry = 1
else
out[i] = v
carry = 0
break
end
end
return out
end
local function magnitudeToTwosComplementLE(magLE: { number }, length: number): { number }
local out = table.create(length, 0)
for i = 1, length do
out[i] = (i <= #magLE) and magLE[i] or 0
end
for i = 1, length do
out[i] = 255 - out[i]
end
-- +1
local carry = 1
for i = 1, length do
local v = out[i] + carry
if v >= 256 then
out[i] = v - 256
carry = 1
else
out[i] = v
carry = 0
break
end
end
return out
end
local function limbsFromLEBytes(leBytes: { number }): { number }
local limbs = {}
local limbIndex = 1
local i = 1
while i <= #leBytes do
local b0 = leBytes[i] or 0
local b1 = leBytes[i + 1] or 0
local b2 = leBytes[i + 2] or 0
local b3 = leBytes[i + 3] or 0
local limb = b0 + b1 * 256 + b2 * 65536 + b3 * 16777216
limbs[limbIndex] = limb
limbIndex += 1
i += 4
end
trimLimbs(limbs)
return limbs
end
local function leBytesFromLimbs(limbs: { number }): { number }
if #limbs == 0 then
return { 0 }
end
local out = table.create(#limbs * 4)
local k = 1
for i = 1, #limbs do
local limb = limbs[i]
for _ = 1, 4 do
out[k] = limb % 256
limb = math.floor(limb / 256)
k += 1
end
end
while #out > 1 and out[#out] == 0 do
table.remove(out)
end
return out
end
return function(InfiniteMath): typeof(Int)
function Int.is(value: any): boolean
return typeof(value) == "table" and getmetatable(value) == Int
end
function Int.zero(): Int
return setmetatable({ sign = 0, limbs = {} }, Int)
end
function Int.FromRawBytes(endian: string, bytes: { number }, signed: boolean?): Int
assertEndian(endian)
assertBytes(bytes)
if #bytes == 0 then
return Int.zero()
end
local le = toLEBytes(endian, bytes)
local sign = 1
if signed then
local msb = le[#le]
if msb >= 128 then
sign = -1
le = twosComplementToMagnitudeLE(le)
end
end
local limbs = limbsFromLEBytes(le)
if #limbs == 0 then
return Int.zero()
end
return setmetatable({
sign = sign,
limbs = limbs,
}, Int)
end
function Int:ToRawBytes(endian: string, minBytes: number?, signed: boolean?): { number }
assertEndian(endian)
if minBytes ~= nil then
if type(minBytes) ~= "number" or minBytes % 1 ~= 0 or minBytes < 0 then
error("minBytes must be a non-negative integer")
end
end
if signed ~= true and self.sign < 0 then
error("ToRawBytes(unsigned) cannot serialize a negative Int. Pass signed=true.")
end
local magLE = leBytesFromLimbs(self.limbs)
if signed then
if self.sign >= 0 then
-- ensure sign bit 0
if magLE[#magLE] >= 128 then
magLE[#magLE + 1] = 0
end
if minBytes ~= nil then
while #magLE < minBytes do
magLE[#magLE + 1] = 0
end
end
return fromLEBytes(endian, magLE)
end
local length = minBytes or #magLE
if length < #magLE then
error("minBytes too small to represent this value")
end
while #magLE < length do
magLE[#magLE + 1] = 0
end
local twosLE = magnitudeToTwosComplementLE(magLE, length)
return fromLEBytes(endian, twosLE)
end
if minBytes ~= nil then
if minBytes < #magLE then
error("minBytes too small to represent this value")
end
while #magLE < minBytes do
magLE[#magLE + 1] = 0
end
end
return fromLEBytes(endian, magLE)
end
function Int:IterRawBytes(endian: string, minBytes: number?, signed: boolean?)
return ipairs(self:ToRawBytes(endian, minBytes, signed))
end
function Int:ToNumber()
if self.sign == 0 or #self.limbs == 0 then
return InfiniteMath.new(0)
end
local n: number = #self.limbs
local msw: number = self.limbs[n]
if msw == 0 then
return InfiniteMath.new(0)
end
-- log10(value) ~= ((n-1)*32 + log2(msw)) * log10(2)
local LOG10_2 = math.log(2) / math.log(10)
local log2 = (n - 1) * 32 + (math.log(msw) / math.log(2))
local log10 = log2 * LOG10_2
local exp10 = math.floor(log10)
local frac = log10 - exp10
local mant = 10 ^ frac -- [1,10)
return InfiniteMath.new({ mant * self.sign, exp10 })
end
function Int:ScientificNotation(abbrev: boolean?, secondAbbrev: boolean?): string
return self:ToNumber():ScientificNotation(abbrev, secondAbbrev)
end
function Int:__tostring()
return self:ScientificNotation()
end
return Int
end | 2,047 |
imezx/InfiniteMath | imezx-InfiniteMath-f44c4db/src/InfiniteMath/Values/FullNames.luau | return {'Thousand','Million','Billion','Trillion','Quadrillion','Quintillion','Sextillion','Septillion','Octillion','Nonillion','Decillion','Undecillion','Duodecillion','Tredecillion','Quattuordecillion','Quindecillion','Sedecillion','Septendecillion','Octodecillion','Novendecillion','Vigintillion','Unvigintillion','Duovigintillion','Tresvigintillion','Quattuorvigintillion','Quinvigintillion','Sesvigintillion','Septemvigintillion','Octovigintillion','Novemvigintillion','Trigintillion','Untrigintillion','Duotrigintillion','Trestrigintillion','Quattuortrigintillion','Quintrigintillion','Sestrigintillion','Septentrigintillion','Octotrigintillion','Noventrigintillion','Quadragintillion','Unquadragintillion','Duoquadragintillion','Tresquadragintillion','Quattuorquadragintillion','Quinquadragintillion','Sesquadragintillion','Septenquadragintillion','Octoquadragintillion','Novenquadragintillion','Quinquagintillion','Unquinquagintillion','Duoquinquagintillion','Tresquinquagintillion','Quattuorquinquagintillion','Quinquinquagintillion','Sesquinquagintillion','Septenquinquagintillion','Octoquinquagintillion','Novenquinquagintillion','Sexagintillion','Unsexagintillion','Duosexagintillion','Treseptuagintillion','Quattuorsexagintillion','Quinsexagintillion','Sesexagintillion','Septensexagintillion','Octosexagintillion','Novensexagintillion','Septuagintillion','Unseptuagintillion','Duoseptuagintillion','Treseptuagintillion','Quattuorseptuagintillion','Quinseptuagintillion','Seseptuagintillion','Septenseptuagintillion','Octoseptuagintillion','Novenseptuagintillion','Octogintillion','Unoctogintillion','Duooctogintillion','Tresoctogintillion','Quattuoroctogintillion','Quinoctogintillion','Sexoctogintillion','Septemoctogintillion','Octooctogintillion','Novemoctogintillion','Nonagintillion','Unnonagintillion','Duononagintillion','Trenonagintillion','Quattuornonagintillion','Quinnonagintillion','Senonagintillion','Septenonagintillion','Octononagintillion','Novenonagintillion','Centillion','Uncentillion','Duocentillion','Trescentillion','Quattuorcentillion','Quincentillion','Sexcentillion','Septencentillion','Octocentillion','Novencentillion','Decicentillion','Undecicentillion','Duodecicentillion','Tredecicentillion','Quattuordecicentillion','Quindecicentillion','Sedecicentillion','Septendecicentillion','Octodecicentillion','Novendecicentillion','Viginticentillion','Unviginticentillion','Duoviginticentillion','Tresviginticentillion','Quattuorviginticentillion','Quinviginticentillion','Sesviginticentillion','Septemviginticentillion','Octoviginticentillion','Novemviginticentillion','Trigintacentillion','Untrigintacentillion','Duotrigintacentillion','Trestrigintacentillion','Quattuortrigintacentillion','Quintrigintacentillion','Sestrigintacentillion','Septentrigintacentillion','Octotrigintacentillion','Noventrigintacentillion','Quadragintacentillion','Unquadragintacentillion','Duoquadragintacentillion','Tresquadragintacentillion','Quattuorquadragintacentillion','Quinquadragintacentillion','Sesquadragintacentillion','Septenquadragintacentillion','Octoquadragintacentillion','Novenquadragintacentillion','Quinquagintacentillion','Unquinquagintacentillion','Duoquinquagintacentillion','Tresquinquagintacentillion','Quattuorquinquagintacentillion','Quinquinquagintacentillion','Sesquinquagintacentillion','Septenquinquagintacentillion','Octoquinquagintacentillion','Novenquinquagintacentillion','Sexagintacentillion','Unsexagintacentillion','Duosexagintacentillion','Tresexagintacentillion','Quattuorsexagintacentillion','Quinsexagintacentillion','Sesexagintacentillion','Septensexagintacentillion','Octosexagintacentillion','Novensexagintacentillion','Septuagintacentillion','Unseptuagintacentillion','Duoseptuagintacentillion','Treseptuagintacentillion','Quattuorseptuagintacentillion','Quinseptuagintacentillion','Seseptuagintacentillion','Septenseptuagintacentillion','Octoseptuagintacentillion','Novenseptuagintacentillion','Octogintacentillion','Unoctogintacentillion','Duooctogintacentillion','Tresoctogintacentillion','Quattuoroctogintacentillion','Quinoctogintacentillion','Sexoctogintacentillion','Septemoctogintacentillion','Octooctogintacentillion','Novemoctogintacentillion','Nonagintacentillion','Unnonagintacentillion','Duononagintacentillion','Trenonagintacentillion','Quattuornonagintacentillion','Quinnonagintacentillion','Senonagintacentillion','Septenonagintacentillion','Octononagintacentillion','Novenonagintacentillion','Ducentillion','Unducentillion','Duoducentillion','Treducentillion','Quattuorducentillion','Quinducentillion','Seducentillion','Septenducentillion','Octoducentillion','Novenducentillion','Deciducentillion','Undeciducentillion','Duodeciducentillion','Tredeciducentillion','Quattuordeciducentillion','Quindeciducentillion','Sedeciducentillion','Septendeciducentillion','Octodeciducentillion','Novendeciducentillion','Vigintiducentillion','Unvigintiducentillion','Duovigintiducentillion','Tresvigintiducentillion','Quattuorvigintiducentillion','Quinvigintiducentillion','Sesvigintiducentillion','Septemvigintiducentillion','Octovigintiducentillion','Novemvigintiducentillion','Trigintaducentillion','Untrigintaducentillion','Duotrigintaducentillion','Trestrigintaducentillion','Quattuortrigintaducentillion','Quintrigintaducentillion','Sestrigintaducentillion','Septentrigintaducentillion','Octotrigintaducentillion','Noventrigintaducentillion','Quadragintaducentillion','Unquadragintaducentillion','Duoquadragintaducentillion','Tresquadragintaducentillion','Quattuorquadragintaducentillion','Quinquadragintaducentillion','Sesquadragintaducentillion','Septenquadragintaducentillion','Octoquadragintaducentillion','Novenquadragintaducentillion','Quinquagintaducentillion','Unquinquagintaducentillion','Duoquinquagintaducentillion','Tresquinquagintaducentillion','Quattuorquinquagintaducentillion','Quinquinquagintaducentillion','Sesquinquagintaducentillion','Septenquinquagintaducentillion','Octoquinquagintaducentillion','Novenquinquagintaducentillion','Sexagintaducentillion','Unsexagintaducentillion','Duosexagintaducentillion','Tresexagintaducentillion','Quattuorsexagintaducentillion','Quinsexagintaducentillion','Sesexagintaducentillion','Septensexagintaducentillion','Octosexagintaducentillion','Novensexagintaducentillion','Septuagintaducentillion','Unseptuagintaducentillion','Duoseptuagintaducentillion','Treseptuagintaducentillion','Quattuorseptuagintaducentillion','Quinseptuagintaducentillion','Seseptuagintaducentillion','Septenseptuagintaducentillion','Octoseptuagintaducentillion','Novenseptuagintaducentillion','Octogintaducentillion','Unoctogintaducentillion','Duooctogintaducentillion','Tresoctogintaducentillion','Quattuoroctogintaducentillion','Quinoctogintaducentillion','Sexoctogintaducentillion','Septemoctogintaducentillion','Octooctogintaducentillion','Novemoctogintaducentillion','Nonagintaducentillion','Unnonagintaducentillion','Duononagintaducentillion','Trenonagintaducentillion','Quattuornonagintaducentillion','Quinnonagintaducentillion','Senonagintaducentillion','Septenonagintaducentillion','Octononagintaducentillion','Novenonagintaducentillion','Trecentillion','Untrecentillion','Duotrecentillion','Trestrecentillion','Quattuortrecentillion','Quintrecentillion','Sestrecentillion','Septentrecentillion','Octotrecentillion','Noventrecentillion','Decitrecentillion','Undecitrecentillion','Duodecitrecentillion','Tredecitrecentillion','Quattuordecitrecentillion','Quindecitrecentillion','Sedecitrecentillion','Septendecitrecentillion','Octodecitrecentillion','Novendecitrecentillion','Vigintitrecentillion','Unvigintitrecentillion','Duovigintitrecentillion','Tresvigintitrecentillion','Quattuorvigintitrecentillion','Quinvigintitrecentillion','Sesvigintitrecentillion','Septemvigintitrecentillion','Octovigintitrecentillion','Novemvigintitrecentillion','Trigintatrecentillion','Untrigintatrecentillion','Duotrigintatrecentillion','Trestrigintatrecentillion','Quattuortrigintatrecentillion','Quintrigintatrecentillion','Sestrigintatrecentillion','Septentrigintatrecentillion','Octotrigintatrecentillion','Noventrigintatrecentillion','Quadragintatrecentillion','Unquadragintatrecentillion','Duoquadragintatrecentillion','Tresquadragintatrecentillion','Quattuorquadragintatrecentillion','Quinquadragintatrecentillion','Sesquadragintatrecentillion','Septenquadragintatrecentillion','Octoquadragintatrecentillion','Novenquadragintatrecentillion','Quinquagintatrecentillion','Unquinquagintatrecentillion','Duoquinquagintatrecentillion','Tresquinquagintatrecentillion','Quattuorquinquagintatrecentillion','Quinquinquagintatrecentillion','Sesquinquagintatrecentillion','Septenquinquagintatrecentillion','Octoquinquagintatrecentillion','Novenquinquagintatrecentillion','Sexagintatrecentillion','Unsexagintatrecentillion','Duosexagintatrecentillion','Tresexagintatrecentillion','Quattuorsexagintatrecentillion','Quinsexagintatrecentillion','Sesexagintatrecentillion','Septensexagintatrecentillion','Octosexagintatrecentillion','Novensexagintatrecentillion','Septuagintatrecentillion','Unseptuagintatrecentillion','Duoseptuagintatrecentillion','Treseptuagintatrecentillion','Quattuorseptuagintatrecentillion','Quinseptuagintatrecentillion','Seseptuagintatrecentillion','Septenseptuagintatrecentillion','Octoseptuagintatrecentillion','Novenseptuagintatrecentillion','Octogintatrecentillion','Unoctogintatrecentillion','Duooctogintatrecentillion','Tresoctogintatrecentillion','Quattuoroctogintatrecentillion','Quinoctogintatrecentillion','Sexoctogintatrecentillion','Septemoctogintatrecentillion','Octooctogintatrecentillion','Novemoctogintatrecentillion','Nonagintatrecentillion','Unnonagintatrecentillion','Duononagintatrecentillion','Trenonagintatrecentillion','Quattuornonagintatrecentillion','Quinnonagintatrecentillion','Senonagintatrecentillion','Septenonagintatrecentillion','Octononagintatrecentillion','Novenonagintatrecentillion','Quadringentillion','Unquadringentillion','Duoquadringentillion','Tresquadring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xagintaquingentillion','Septuagintaquingentillion','Unseptuagintaquingentillion','Duoseptuagintaquingentillion','Treseptuagintaquingentillion','Quattuorseptuagintaquingentillion','Quinseptuagintaquingentillion','Seseptuagintaquingentillion','Septenseptuagintaquingentillion','Octoseptuagintaquingentillion','Novenseptuagintaquingentillion','Octogintaquingentillion','Unoctogintaquingentillion','Duooctogintaquingentillion','Tresoctogintaquingentillion','Quattuoroctogintaquingentillion','Quinoctogintaquingentillion','Sexoctogintaquingentillion','Septemoctogintaquingentillion','Octooctogintaquingentillion','Novemoctogintaquingentillion','Nonagintaquingentillion','Unnonagintaquingentillion','Duononagintaquingentillion','Trenonagintaquingentillion','Quattuornonagintaquingentillion','Quinnonagintaquingentillion','Senonagintaquingentillion','Septenonagintaquingentillion','Octononagintaquingentillion','Novenonagintaquingentillion','Sescentillion','Unsescentillion','Duosescentillion','Tresescentillion','Quattuorsescentillion','Quinsescentillion','Sesescentillion','Septensescentillion','Octosescentillion','Novensescentillion','Decisescentillion','Undecisescentillion','Duodecisescentillion','Tredecisescentillion','Quattuordecisescentillion','Quindecisescentillion','Sedecisescentillion','Septendecisescentillion','Octodecisescentillion','Novendecisescentillion','Vigintisescentillion','Unvigintisescentillion','Duovigintisescentillion','Tresvigintisescentillion','Quattuorvigintisescentillion','Quinvigintisescentillion','Sesvigintisescentillion','Septemvigintisescentillion','Octovigintisescentillion','Novemvigintisescentillion','Trigintasescentillion','Untrigintasescentillion','Duotrigintasescentillion','Trestrigintasescentillion','Quattuortrigintasescentillion','Quintrigintasescentillion','Sestrigintasescentillion','Septentrigintasescentillion','Octotrigintasescentillion','Noventrigintasescentillion','Quadragintasescentillion','Unquadragintasescentillion','Duoquadragintasescentillion','Tresquadragintasescentillion','Quattuorquadragintasescentillion','Quinquadragintasescentillion','Sesquadragintasescentillion','Septenquadragintasescentillion','Octoquadragintasescentillion','Novenquadragintasescentillion','Quinquagintasescentillion','Unquinquagintasescentillion','Duoquinquagintasescentillion','Tresquinquagintasescentillion','Quattuorquinquagintasescentillion','Quinquinquagintasescentillion','Sesquinquagintasescentillion','Septenquinquagintasescentillion','Octoquinquagintasescentillion','Novenquinquagintasescentillion','Sexagintasescentillion','Unsexagintasescentillion','Duosexagintasescentillion','Tresexagintasescentillion','Quattuorsexagintasescentillion','Quinsexagintasescentillion','Sesexagintasescentillion','Septensexagintasescentillion','Octosexagintasescentillion','Novensexagintasescentillion','Septuagintasescentillion','Unseptuagintasescentillion','Duoseptuagintasescentillion','Treseptuagintasescentillion','Quattuorseptuagintasescentillion','Quinseptuagintasescentillion','Seseptuagintasescentillion','Septenseptuagintasescentillion','Octoseptuagintasescentillion','Novenseptuagintasescentillion','Octogintasescentillion','Unoctogintasescentillion','Duooctogintasescentillion','Tresoctogintasescentillion','Quattuoroctogintasescentillion','Quinoctogintasescentillion','Sexoctogintasescentillion','Septemoctogintasescentillion','Octooctogintasescentillion','Novemoctogintasescentillion','Nonagintasescentillion','Unnonagintasescentillion','Duononagintasescentillion','Trenonagintasescentillion','Quattuornonagintasescentillion','Quinnonagintasescentillion','Senonagintasescentillion','Septenonagintasescentillion','Octononagintasescentillion','Novenonagintasescentillion','Septingentillion','Unseptingentillion','Duoseptingentillion','Treseptingentillion','Quattuorseptingentillion','Quinseptingentillion','Seseptingentillion','Septenseptingentillion','Octoseptingentillion','Novenseptingentillion','Deciseptingentillion','Undeciseptingentillion','Duodeciseptingentillion','Tredeciseptingentillion','Quattuordeciseptingentillion','Quindeciseptingentillion','Sedeciseptingentillion','Septendeciseptingentillion','Octodeciseptingentillion','Novendeciseptingentillion','Vigintiseptingentillion','Unvigintiseptingentillion','Duovigintiseptingentillion','Tresvigintiseptingentillion','Quattuorvigintiseptingentillion','Quinvigintiseptingentillion','Sesvigintiseptingentillion','Septemvigintiseptingentillion','Octovigintiseptingentillion','Novemvigintiseptingentillion','Trigintaseptingentillion','Untrigintaseptingentillion','Duotrigintaseptingentillion','Trestrigintaseptingentillion','Quattuortrigintaseptingentillion','Quintrigintaseptingentillion','Sestrigintaseptingentillion','Septentrigintaseptingentillion','Octotrigintaseptingentillion','Noventrigintaseptingentillion','Quadragintaseptingentillion','Unquadragintaseptingentillion','Duoquadragintaseptingentillion','Tresquadragintaseptingentillion','Quattuorquadragintaseptingentillion','Quinquadragintaseptingentillion','Sesquadragintaseptingentillion','Septenquadragintaseptingentillion','Octoquadragintaseptingentillion','Novenquadragintaseptingentillion','Quinquagintaseptingentillion','Unquinquagintaseptingentillion','Duoquinquagintaseptingentillion','Tresquinquagintaseptingentillion','Quattuorquinquagintaseptingentillion','Quinquinquagintaseptingentillion','Sesquinquagintaseptingentillion','Septenquinquagintaseptingentillion','Octoquinquagintaseptingentillion','Novenquinquagintaseptingentillion','Sexagintaseptingentillion','Unsexagintaseptingentillion','Duosexagintaseptingentillion','Tresexagintaseptingentillion','Quattuorsexagintaseptingentillion','Quinsexagintaseptingentillion','Sesexagintaseptingentillion','Septensexagintaseptingentillion','Octosexagintaseptingentillion','Novensexagintaseptingentillion','Septuagintaseptingentillion','Unseptuagintaseptingentillion','Duoseptuagintaseptingentillion','Treseptuagintaseptingentillion','Quattuorseptuagintaseptingentillion','Quinseptuagintaseptingentillion','Seseptuagintaseptingentillion','Septenseptuagintaseptingentillion','Octoseptuagintaseptingentillion','Novenseptuagintaseptingentillion','Octogintaseptingentillion','Unoctogintaseptingentillion','Duooctogintaseptingentillion','Tresoctogintaseptingentillion','Quattuoroctogintaseptingentillion','Quinoctogintaseptingentillion','Sexoctogintaseptingentillion','Septemoctogintaseptingentillion','Octooctogintaseptingentillion','Novemoctogintaseptingentillion','Nonagintaseptingentillion','Unnonagintaseptingentillion','Duononagintaseptingentillion','Trenonagintaseptingentillion','Quattuornonagintaseptingentillion','Quinnonagintaseptingentillion','Senonagintaseptingentillion','Septenonagintaseptingentillion','Octononagintaseptingentillion','Novenonagintaseptingentillion','Octingentillion','Unoctingentillion','Duooctingentillion','Tresoctingentillion','Quattuoroctingentillion','Quinoctingentillion','Sexoctingentillion','Septemoctingentillion','Octooctingentillion','Novemoctingentillion','Decioctingentillion','Undecioctingentillion','Duodecioctingentillion','Tredecioctingentillion','Quattuordecioctingentillion','Quindecioctingentillion','Sedecioctingentillion','Septendecioctingentillion','Octodecioctingentillion','Novendecioctingentillion','Vigintioctingentillion','Unvigintioctingentillion','Duovigintioctingentillion','Tresvigintioctingentillion','Quattuorvigintioctingentillion','Quinvigintioctingentillion','Sesvigintioctingentillion','Septemvigintioctingentillion','Octovigintioctingentillion','Novemvigintioctingentillion','Trigintaoctingentillion','Untrigintaoctingentillion','Duotrigintaoctingentillion','Trestrigintaoctingentillion','Quattuortrigintaoctingentillion','Quintrigintaoctingentillion','Sestrigintaoctingentillion','Septentrigintaoctingentillion','Octotrigintaoctingentillion','Noventrigintaoctingentillion','Quadragintaoctingentillion','Unquadragintaoctingentillion','Duoquadragintaoctingentillion','Tresquadragintaoctingentillion','Quattuorquadragintaoctingentillion','Quinquadragintaoctingentillion','Sesquadragintaoctingentillion','Septenquadragintaoctingentillion','Octoquadragintaoctingentillion','Novenquadragintaoctingentillion','Quinquagintaoctingentillion','Unquinquagintaoctingentillion','Duoquinquagintaoctingentillion','Tresquinquagintaoctingentillion','Quattuorquinquagintaoctingentillion','Quinquinquagintaoctingentillion','Sesquinquagintaoctingentillion','Septenquinquagintaoctingentillion','Octoquinquagintaoctingentillion','Novenquinquagintaoctingentillion','Sexagintaoctingentillion','Unsexagintaoctingentillion','Duosexagintaoctingentillion','Tresexagintaoctingentillion','Quattuorsexagintaoctingentillion','Quinsexagintaoctingentillion','Sesexagintaoctingentillion','Septensexagintaoctingentillion','Octosexagintaoctingentillion','Novensexagintaoctingentillion','Septuagintaoctingentillion','Unseptuagintaoctingentillion','Duoseptuagintaoctingentillion','Treseptuagintaoctingentillion','Quattuorseptuagintaoctingentillion','Quinseptuagintaoctingentillion','Seseptuagintaoctingentillion','Septenseptuagintaoctingentillion','Octoseptuagintaoctingentillion','Novenseptuagintaoctingentillion','Octogintaoctingentillion','Unoctogintaoctingentillion','Duooctogintaoctingentillion','Tresoctogintaoctingentillion','Quattuoroctogintaoctingentillion','Quinoctogintaoctingentillion','Sexoctogintaoctingentillion','Septemoctogintaoctingentillion','Octooctogintaoctingentillion','Novemoctogintaoctingentillion','Nonagintaoctingentillion','Unnonagintaoctingentillion','Duononagintaoctingentillion','Trenonagintaoctingentillion','Quattuornonagintaoctingentillion','Quinnonagintaoctingentillion','Senonagintaoctingentillion','Septenonagintaoctingentillion','Octononagintaoctingentillion','Novenonagintaoctingentillion','Nongentillion','Unnongentillion','Duonongentillion','Trenongentillion','Quattuornongentillion','Quinnongentillion','Senongentillion','Septenongentillion','Octonongentillion','Novenongentillion','Decinongentillion','Undecinongentillion','Duodecinongentillion','Tredecinongentillion','Quattuordecinongentillion','Quindecinongentillion','Sedecinongentillion','Septendecinongentillion','Octodecinongentillion','Novendecinongentillion','Vigintinongentillion','Unvigintinongentillion','Duovigintinongentillion','Tresvigintinongentillion','Quattuorvigintinongentillion','Quinvigintinongentillion','Sesvigintinongentillion','Septemvigintinongentillion','Octovigintinongentillion','Novemvigintinongentillion','Trigintanongentillion','Untrigintanongentillion','Duotrigintanongentillion','Trestrigintanongentillion','Quattuortrigintanongentillion','Quintrigintanongentillion','Sestrigintanongentillion','Septentrigintanongentillion','Octotrigintanongentillion','Noventrigintanongentillion','Quadragintanongentillion','Unquadragintanongentillion','Duoquadragintanongentillion','Tresquadragintanongentillion','Quattuorquadragintanongentillion','Quinquadragintanongentillion','Sesquadragintanongentillion','Septenquadragintanongentillion','Octoquadragintanongentillion','Novenquadragintanongentillion','Quinquagintanongentillion','Unquinquagintanongentillion','Duoquinquagintanongentillion','Tresquinquagintanongentillion','Quattuorquinquagintanongentillion','Quinquinquagintanongentillion','Sesquinquagintanongentillion','Septenquinquagintanongentillion','Octoquinquagintanongentillion','Novenquinquagintanongentillion','Sexagintanongentillion','Unsexagintanongentillion','Duosexagintanongentillion','Tresexagintanongentillion','Quattuorsexagintanongentillion','Quinsexagintanongentillion','Sesexagintanongentillion','Septensexagintanongentillion','Octosexagintanongentillion','Novensexagintanongentillion','Septuagintanongentillion','Unseptuagintanongentillion','Duoseptuagintanongentillion','Treseptuagintanongentillion','Quattuorseptuagintanongentillion','Quinseptuagintanongentillion','Seseptuagintanongentillion','Septenseptuagintanongentillion','Octoseptuagintanongentillion','Novenseptuagintanongentillion','Octogintanongentillion','Unoctogintanongentillion','Duooctogintanongentillion','Tresoctogintanongentillion','Quattuoroctogintanongentillion','Quinoctogintanongentillion','Sexoctogintanongentillion','Septemoctogintanongentillion','Octooctogintanongentillion','Novemoctogintanongentillion','Nonagintanongentillion','Unnonagintanongentillion','Duononagintanongentillion','Trenonagintanongentillion','Quattuornonagintanongentillion','Quinnonagintanongentillion','Senonagintanongentillion','Septenonagintanongentillion','Octononagintanongentillion','Novenonagintanongentillion','Millinillion','Millimillion','Millibillion','Millitrillion','Milliquadrillion','Milliquintillion','Millisextillion','Milliseptillion','Millioctillion','Millinonillion','Millidecillion','Milliundecillion','Milliduodecillion','Millitredecillion','Milliquattuordecillion','Milliquindecillion','Millisedecillion','Milliseptendecillion','Millioctodecillion','Millinovendecillion','Millivigintillion','Milliunvigintillion','Milliduovigintillion','Millitresvigintillion','Milliquattuorvigintillion','Milliquinvigintillion','Millisesvigintillion','Milliseptemvigintillion','Millioctovigintillion','Millinovemvigintillion','Millitrigintillion','Milliuntrigintillion','Milliduotrigintillion','Millitrestrigintillion','Milliquattuortrigintillion','Milliquintrigintillion','Millisestrigintillion','Milliseptentrigintillion','Millioctotrigintillion','Millinoventrigintillion','Milliquadragintillion','Milliunquadragintillion','Milliduoquadragintillion','Millitresquadragintillion','Milliquattuorquadragintillion','Milliquinquadragintillion','Millisesquadragintillion','Milliseptenquadragintillion','Millioctoquadragintillion','Millinovenquadragintillion','Milliquinquagintillion','Milliunquinquagintillion','Milliduoquinquagintillion','Millitresquinquagintillion','Milliquattuorquinquagintillion','Milliquinquinquagintillion','Millisesquinquagintillion','Milliseptenquinquagintillion','Millioctoquinquagintillion','Millinovenquinquagintillion','Millisexagintillion','Milliunsexagintillion','Milliduosexagintillion','Millitreseptuagintillion','Milliquattuorsexagintillion','Milliquinsexagintillion','Millisesexagintillion','Milliseptensexagintillion','Millioctosexagintillion','Millinovensexagintillion','Milliseptuagintillion','Milliunseptuagintillion','Milliduoseptuagintillion','Millitreseptuagintillion','Milliquattuorseptuagintillion','Milliquinseptuagintillion','Milliseseptuagintillion','Milliseptenseptuagintillion','Millioctoseptuagintillion','Millinovenseptuagintillion','Millioctogintillion','Milliunoctogintillion','Milliduooctogintillion','Millitresoctogintillion','Milliquattuoroctogintillion','Milliquinoctogintillion','Millisexoctogintillion','Milliseptemoctogintillion','Millioctooctogintillion','Millinovemoctogintillion','Millinonagintillion','Milliunnonagintillion','Milliduononagintillion','Millitrenonagintillion','Milliquattuornonagintillion','Milliquinnonagintillion','Millisenonagintillion','Milliseptenonagintillion','Millioctononagintillion','Millinovenonagintillion','Millicentillion','Milliuncentillion','Milliduocentillion','Millitrescentillion','Milliquattuorcentillion','Milliquincentillion','Millisexcentillion','Milliseptencentillion','Millioctocentillion','Millinovencentillion','Millidecicentillion','Milliundecicentillion','Milliduodecicentillion','Millitredecicentillion','Milliquattuordecicentillion','Milliquindecicentillion','Millisedecicentillion','Milliseptendecicentillion','Millioctodecicentillion','Millinovendecicentillion','Milliviginticentillion','Milliunviginticentillion','Milliduoviginticentillion','Millitresviginticentillion','Milliquattuorviginticentillion','Milliquinviginticentillion','Millisesviginticentillion','Milliseptemviginticentillion','Millioctoviginticentillion','Millinovemviginticentillion','Millitrigintacentillion','Milliuntrigintacentillion','Milliduotrigintacentillion','Millitrestrigintacentillion','Milliquattuortrigintacentillion','Milliquintrigintacentillion','Millisestrigintacentillion','Milliseptentrigintacentillion','Millioctotrigintacentillion','Millinoventrigintacentillion','Milliquadragintacentillion','Milliunquadragintacentillion','Milliduoquadragintacentillion','Millitresquadragintacentillion','Milliquattuorquadragintacentillion','Milliquinquadragintacentillion','Millisesquadragintacentillion','Milliseptenquadragintacentillion','Millioctoquadragintacentillion','Millinovenquadragintacentillion','Milliquinquagintacentillion','Milliunquinquagintacentillion','Milliduoquinquagintacentillion','Millitresquinquagintacentillion','Milliquattuorquinquagintacentillion','Milliquinquinquagintacentillion','Millisesquinquagintacentillion','Milliseptenquinquagintacentillion','Millioctoquinquagintacentillion','Millinovenquinquagintacentillion','Millisexagintacentillion','Milliunsexagintacentillion','Milliduosexagintacentillion','Millitresexagintacentillion','Milliquattuorsexagintacentillion','Milliquinsexagintacentillion','Millisesexagintacentillion','Milliseptensexagintacentillion','Millioctosexagintacentillion','Millinovensexagintacentillion','Milliseptuagintacentillion','Milliunseptuagintacentillion','Milliduoseptuagintacentillion','Millitreseptuagintacentillion','Milliquattuorseptuagintacentillion','Milliquinseptuagintacentillion','Milliseseptuagintacentillion','Milliseptenseptuagintacentillion','Millioctoseptuagintacentillion','Millinovenseptuagintacentillion','Millioctogintacentillion','Milliunoctogintacentillion','Milliduooctogintacentillion','Millitresoctogintacentillion','Milliquattuoroctogintacentillion','Milliquinoctogintacentillion','Millisexoctogintacentillion','Milliseptemoctogintacentillion','Millioctooctogintacentillion','Millinovemoctogintacentillion','Millinonagintacentillion','Milliunnonagintacentillion','Milliduononagintacentillion','Millitrenonagintacentillion','Milliquattuornonagintacentillion','Milliquinnonagintacentillion','Millisenonagintacentillion','Milliseptenonagintacentillion','Millioctononagintacentillion','Millinovenonagintacentillion','Milliducentillion','Milliunducentillion','Milliduoducentillion','Millitreducentillion','Milliquattuorducentillion','Milliquinducentillion','Milliseducentillion','Milliseptenducentillion','Millioctoducentillion','Millinovenducentillion','Millideciducentillion','Milliundeciducentillion','Milliduodeciducentillion','Millitredeciducentillion','Milliquattuordeciducentillion','Milliquindeciducentillion','Millisedeciducentillion','Milliseptendeciducentillion','Millioctodeciducentillion','Millinovendeciducentillion','Millivigintiducentillion','Milliunvigintiducentillion','Milliduovigintiducentillion','Millitresvigintiducentillion','Milliquattuorvigintiducentillion','Milliquinvigintiducentillion','Millisesvigintiducentillion','Milliseptemvigintiducentillion','Millioctovigintiducentillion','Millinovemvigintiducentillion','Millitrigintaducentillion','Milliuntrigintaducentillion','Milliduotrigintaducentillion','Millitrestrigintaducentillion','Milliquattuortrigintaducentillion','Milliquintrigintaducentillion','Millisestrigintaducentillion','Milliseptentrigintaducentillion','Millioctotrigintaducentillion','Millinoventrigintaducentillion','Milliquadragintaducentillion','Milliunquadragintaducentillion','Milliduoquadragintaducentillion','Millitresquadragintaducentillion','Milliquattuorquadragintaducentillion','Milliquinquadragintaducentillion','Millisesquadragintaducentillion','Milliseptenquadragintaducentillion','Millioctoquadragintaducentillion','Millinovenquadragintaducentillion','Milliquinquagintaducentillion','Milliunquinquagintaducentillion','Milliduoquinquagintaducentillion','Millitresquinquagintaducentillion','Milliquattuorquinquagintaducentillion','Milliquinquinquagintaducentillion','Millisesquinquagintaducentillion','Milliseptenquinquagintaducentillion','Millioctoquinquagintaducentillion','Millinovenquinquagintaducentillion','Millisexagintaducentillion','Milliunsexagintaducentillion','Milliduosexagintaducentillion','Millitresexagintaducentillion','Milliquattuorsexagintaducentillion','Milliquinsexagintaducentillion','Millisesexagintaducentillion','Milliseptensexagintaducentillion','Millioctosexagintaducentillion','Millinovensexagintaducentillion','Milliseptuagintaducentillion','Milliunseptuagintaducentillion','Milliduoseptuagintaducentillion','Millitreseptuagintaducentillion','Milliquattuorseptuagintaducentillion','Milliquinseptuagintaducentillion','Milliseseptuagintaducentillion','Milliseptenseptuagintaducentillion','Millioctoseptuagintaducentillion','Millinovenseptuagintaducentillion','Millioctogintaducentillion','Milliunoctogintaducentillion','Milliduooctogintaducentillion','Millitresoctogintaducentillion','Milliquattuoroctogintaducentillion','Milliquinoctogintaducentillion','Millisexoctogintaducentillion','Milliseptemoctogintaducentillion','Millioctooctogintaducentillion','Millinovemoctogintaducentillion','Millinonagintaducentillion','Milliunnonagintaducentillion','Milliduononagintaducentillion','Millitrenonagintaducentillion','Milliquattuornonagintaducentillion','Milliquinnonagintaducentillion','Millisenonagintaducentillion','Milliseptenonagintaducentillion','Millioctononagintaducentillion','Millinovenonagintaducentillion','Millitrecentillion','Milliuntrecentillion','Milliduotrecentillion','Millitrestrecentillion','Milliquattuortrecentillion','Milliquintrecentillion','Millisestrecentillion','Milliseptentrecentillion','Millioctotrecentillion','Millinoventrecentillion','Millidecitrecentillion','Milliundecitrecentillion','Milliduodecitrecentillion','Millitredecitrecentillion','Milliquattuordecitrecentillion','Milliquindecitrecentillion','Millisedecitrecentillion','Milliseptendecitrecentillion','Millioctodecitrecentillion','Millinovendecitrecentillion','Millivigintitrecentillion','Milliunvigintitrecentillion','Milliduovigintitrecentillion','Millitresvigintitrecentillion','Milliquattuorvigintitrecentillion','Milliquinvigintitrecentillion','Millisesvigintitrecentillion','Milliseptemvigintitrecentillion','Millioctovigintitrecentillion','Millinovemvigintitrecentillion','Millitrigintatrecentillion','Milliuntrigintatrecentillion','Milliduotrigintatrecentillion','Millitrestrigintatrecentillion','Milliquattuortrigintatrecentillion','Milliquintrigintatrecentillion','Millisestrigintatrecentillion','Milliseptentrigintatrecentillion','Millioctotrigintatrecentillion','Millinoventrigintatrecentillion','Milliquadragintatrecentillion','Milliunquadragintatrecentillion','Milliduoquadragintatrecentillion','Millitresquadragintatrecentillion','Milliquattuorquadragintatrecentillion','Milliquinquadragintatrecentillion','Millisesquadragintatrecentillion','Milliseptenquadragintatrecentillion','Millioctoquadragintatrecentillion','Millinovenquadragintatrecentillion','Milliquinquagintatrecentillion','Milliunquinquagintatrecentillion','Milliduoquinquagintatrecentillion','Millitresquinquagintatrecentillion','Milliquattuorquinquagintatrecentillion','Milliquinquinquagintatrecentillion','Millisesquinquagintatrecentillion','Milliseptenquinquagintatrecentillion','Millioctoquinquagintatrecentillion','Millinovenquinquagintatrecentillion','Millisexagintatrecentillion','Milliunsexagintatrecentillion','Milliduosexagintatrecentillion','Millitresexagintatrecentillion','Milliquattuorsexagintatrecentillion','Milliquinsexagintatrecentillion','Millisesexagintatrecentillion','Milliseptensexagintatrecentillion','Millioctosexagintatrecentillion','Millinovensexagintatrecentillion','Milliseptuagintatrecentillion','Milliunseptuagintatrecentillion','Milliduoseptuagintatrecentillion','Millitreseptuagintatrecentillion','Milliquattuorseptuagintatrecentillion','Milliquinseptuagintatrecentillion','Milliseseptuagintatrecentillion','Milliseptenseptuagintatrecentillion','Millioctoseptuagintatrecentillion','Millinovenseptuagintatrecentillion','Millioctogintatrecentillion','Milliunoctogintatrecentillion','Milliduooctogintatrecentillion','Millitresoctogintatrecentillion','Milliquattuoroctogintatrecentillion','Milliquinoctogintatrecentillion','Millisexoctogintatrecentillion','Milliseptemoctogintatrecentillion','Millioctooctogintatrecentillion','Millinovemoctogintatrecentillion','Millinonagintatrecentillion','Milliunnonagintatrecentillion','Milliduononagintatrecentillion','Millitrenonagintatrecentillion','Milliquattuornonagintatrecentillion','Milliquinnonagintatrecentillion','Millisenonagintatrecentillion','Milliseptenonagintatrecentillion','Millioctononagintatrecentillion','Millinovenonagintatrecentillion','Milliquadringentillion','Milliunquadringentillion','Milliduoquadringentillion','Millitresquadringentillion','Milliquattuorquadringentillion','Milliquinquadringentillion','Millisesquadringentillion','Milliseptenquadringentillion','Millioctoquadringentillion','Millinovenquadringentillion','Millideciquadringentillion','Milliundeciquadringentillion','Milliduodeciquadringentillion','Millitredeciquadringentillion','Milliquattuordeciquadringentillion','Milliquindeciquadringentillion','Millisedeciquadringentillion','Milliseptendeciquadringentillion','Millioctodeciquadringentillion','Millinovendeciquadringentillion','Millivigintiquadringentillion','Milliunvigintiquadringentillion','Milliduovigintiquadringentillion','Millitresvigintiquadringentillion','Milliquattuorvigintiquadringentillion','Milliquinvigintiquadringentillion','Millisesvigintiquadringentillion','Milliseptemvigintiquadringentillion','Millioctovigintiquadringentillion','Millinovemvigintiquadringentillion','Millitrigintaquadringentillion','Milliuntrigintaquadringentillion','Milliduotrigintaquadringentillion','Millitrestrigintaquadringentillion','Milliquattuortrigintaquadringentillion','Milliquintrigintaquadringentillion','Millisestrigintaquadringentillion','Milliseptentrigintaquadringentillion','Millioctotrigintaquadringentillion','Millinoventrigintaquadringentillion','Milliquadragintaquadringentillion','Milliunquadragintaquadringentillion','Milliduoquadragintaquadringentillion','Millitresquadragintaquadringentillion','Milliquattuorquadragintaquadringentillion','Milliquinquadragintaquadringentillion','Millisesquadragintaquadringentillion','Milliseptenquadragintaquadringentillion','Millioctoquadragintaquadringentillion','Millinovenquadragintaquadringentillion','Milliquinquagintaquadringentillion','Milliunquinquagintaquadragintillion','Milliduoquinquagintaquadragintillion','Millitresquinquagintaquadragintillion','Milliquattuorquinquagintaquadragintillion','Milliquinquinquagintaquadragintillion','Millisesquinquagintaquadragintillion','Milliseptenquinquagintaquadragintillion','Millioctoquinquagintaquadragintillion','Millinovenquinquagintaquadragintillion','Millisexagintaquadragintillion','Milliunsexagintaquadragintillion','Milliduosexagintaquadragintillion','Millitresexagintaquadragintillion','Milliquattuorsexagintaquadragintillion','Milliquinsexagintaquadragintillion','Millisesexagintaquadragintillion','Milliseptensexagintaquadragintillion','Millioctosexagintaquadragintillion','Millinovensexagintaquadragintillion','Milliseptuagintaquadragintillion','Milliunseptuagintaquadragintillion','Milliduoseptuagintaquadragintillion','Millitreseptuagintaquadragintillion','Milliquattuorseptuagintaquadragintillion','Milliquinseptuagintaquadragintillion','Milliseseptuagintaquadragintillion','Milliseptenseptuagintaquadragintillion','Millioctoseptuagintaquadragintillion','Millinovenseptuagintaquadragintillion','Millioctogintaquadringentillion','Milliunoctogintaquadragintillion','Milliduooctogintaquadragintillion','Millitresoctogintaquadragintillion','Milliquattuoroctogintaquadragintillion','Milliquinoctogintaquadragintillion','Millisexoctogintaquadragintillion','Milliseptemoctogintaquadragintillion','Millioctooctogintaquadragintillion','Millinovemoctogintaquadragintillion','Millinonagintaquadragintillion','Milliunnonagintaquadragintillion','Milliduononagintaquadragintillion','Millitrenonagintaquadragintillion','Milliquattuornonagintaquadragintillion','Milliquinnonagintaquadragintillion','Millisenonagintaquadragintillion','Milliseptenonagintaquadragintillion','Millioctononagintaquadragintillion','Millinovenonagintaquadragintillion','Milliquingentillion','Milliunquingentillion','Milliduoquingentillion','Millitresquingentillion','Milliquattuorquingentillion','Milliquinquingentillion','Millisesquingentillion','Milliseptenquingentillion','Millioctoquingentillion','Millinovenquingentillion','Millideciquingentillion','Milliundeciquingentillion','Milliduodeciquingentillion','Millitredeciquingentillion','Milliquattuordeciquingentillion','Milliquindeciquingentillion','Millisedeciquingentillion','Milliseptendeciquingentillion','Millioctodeciquingentillion','Millinovendeciquingentillion','Millivigintiquingentillion','Milliunvigintiquingentillion','Milliduovigintiquingentillion','Millitresvigintiquingentillion','Milliquattuorvigintiquingentillion','Milliquinvigintiquingentillion','Millisesvigintiquingentillion','Milliseptemvigintiquingentillion','Millioctovigintiquingentillion','Millinovemvigintiquingentillion','Millitrigintaquingentillion','Milliuntrigintaquingentillion','Milliduotrigintaquingentillion','Millitrestrigintaquingentillion','Milliquattuortrigintaquingentillion','Milliquintrigintaquingentillion','Millisestrigintaquingentillion','Milliseptentrigintaquingentillion','Millioctotrigintaquingentillion','Millinoventrigintaquingentillion','Milliquadragintaquingentillion','Milliunquadragintaquingentillion','Milliduoquadragintaquingentillion','Millitresquadragintaquingentillion','Milliquattuorquadragintaquingentillion','Milliquinquadragintaquingentillion','Millisesquadragintaquingentillion','Milliseptenquadragintaquingentillion','Millioctoquadragintaquingentillion','Millinovenquadragintaquingentillion','Milliquinquagintaquingentillion','Milliunquinquagintaquingentillion','Milliduoquinquagintaquingentillion','Millitresquinquagintaquingentillion','Milliquattuorquinquagintaquingentillion','Milliquinquinquagintaquingentillion','Millisesquinquagintaquingentillion','Milliseptenquinquagintaquingentillion','Millioctoquinquagintaquingentillion','Millinovenquinquagintaquingentillion','Millisexagintaquingentillion','Milliunsexagintaquingentillion','Milliduosexagintaquingentillion','Millitresexagintaquingentillion','Milliquattuorsexagintaquingentillion','Milliquinsexagintaquingentillion','Millisesexagintaquingentillion','Milliseptensexagintaquingentillion','Millioctosexagintaquingentillion','Millinovensexagintaquingentillion','Milliseptuagintaquingentillion','Milliunseptuagintaquingentillion','Milliduoseptuagintaquingentillion','Millitreseptuagintaquingentillion','Milliquattuorseptuagintaquingentillion','Milliquinseptuagintaquingentillion','Milliseseptuagintaquingentillion','Milliseptenseptuagintaquingentillion','Millioctoseptuagintaquingentillion','Millinovenseptuagintaquingentillion','Millioctogintaquingentillion','Milliunoctogintaquingentillion','Milliduooctogintaquingentillion','Millitresoctogintaquingentillion','Milliquattuoroctogintaquingentillion','Milliquinoctogintaquingentillion','Millisexoctogintaquingentillion','Milliseptemoctogintaquingentillion','Millioctooctogintaquingentillion','Millinovemoctogintaquingentillion','Millinonagintaquingentillion','Milliunnonagintaquingentillion','Milliduononagintaquingentillion','Millitrenonagintaquingentillion','Milliquattuornonagintaquingentillion','Milliquinnonagintaquingentillion','Millisenonagintaquingentillion','Milliseptenonagintaquingentillion','Millioctononagintaquingentillion','Millinovenonagintaquingentillion','Millisescentillion','Milliunsescentillion','Milliduosescentillion','Millitresescentillion','Milliquattuorsescentillion','Milliquinsescentillion','Millisesescentillion','Milliseptensescentillion','Millioctosescentillion','Millinovensescentillion','Millidecisescentillion','Milliundecisescentillion','Milliduodecisescentillion','Millitredecisescentillion','Milliquattuordecisescentillion','Milliquindecisescentillion','Millisedecisescentillion','Milliseptendecisescentillion','Millioctodecisescentillion','Millinovendecisescentillion','Millivigintisescentillion','Milliunvigintisescentillion','Milliduovigintisescentillion','Millitresvigintisescentillion','Milliquattuorvigintisescentillion','Milliquinvigintisescentillion','Millisesvigintisescentillion','Milliseptemvigintisescentillion','Millioctovigintisescentillion','Millinovemvigintisescentillion','Millitrigintasescentillion','Milliuntrigintasescentillion','Milliduotrigintasescentillion','Millitrestrigintasescentillion','Milliquattuortrigintasescentillion','Milliquintrigintasescentillion','Millisestrigintasescentillion','Milliseptentrigintasescentillion','Millioctotrigintasescentillion','Millinoventrigintasescentillion','Milliquadragintasescentillion','Milliunquadragintasescentillion','Milliduoquadragintasescentillion','Millitresquadragintasescentillion','Milliquattuorquadragintasescentillion','Milliquinquadragintasescentillion','Millisesquadragintasescentillion','Milliseptenquadragintasescentillion','Millioctoquadragintasescentillion','Millinovenquadragintasescentillion','Milliquinquagintasescentillion','Milliunquinquagintasescentillion','Milliduoquinquagintasescentillion','Millitresquinquagintasescentillion','Milliquattuorquinquagintasescentillion','Milliquinquinquagintasescentillion','Millisesquinquagintasescentillion','Milliseptenquinquagintasescentillion','Millioctoquinquagintasescentillion','Millinovenquinquagintasescentillion','Millisexagintasescentillion','Milliunsexagintasescentillion','Milliduosexagintasescentillion','Millitresexagintasescentillion','Milliquattuorsexagintasescentillion','Milliquinsexagintasescentillion','Millisesexagintasescentillion','Milliseptensexagintasescentillion','Millioctosexagintasescentillion','Millinovensexagintasescentillion','Milliseptuagintasescentillion','Milliunseptuagintasescentillion','Milliduoseptuagintasescentillion','Millitreseptuagintasescentillion','Milliquattuorseptuagintasescentillion','Milliquinseptuagintasescentillion','Milliseseptuagintasescentillion','Milliseptenseptuagintasescentillion','Millioctoseptuagintasescentillion','Millinovenseptuagintasescentillion','Millioctogintasescentillion','Milliunoctogintasescentillion','Milliduooctogintasescentillion','Millitresoctogintasescentillion','Milliquattuoroctogintasescentillion','Milliquinoctogintasescentillion','Millisexoctogintasescentillion','Milliseptemoctogintasescentillion','Millioctooctogintasescentillion','Millinovemoctogintasescentillion','Millinonagintasescentillion','Milliunnonagintasescentillion','Milliduononagintasescentillion','Millitrenonagintasescentillion','Milliquattuornonagintasescentillion','Milliquinnonagintasescentillion','Millisenonagintasescentillion','Milliseptenonagintasescentillion','Millioctononagintasescentillion','Millinovenonagintasescentillion','Milliseptingentillion','Milliunseptingentillion','Milliduoseptingentillion','Millitreseptingentillion','Milliquattuorseptingentillion','Milliquinseptingentillion','Milliseseptingentillion','Milliseptenseptingentillion','Millioctoseptingentillion','Millinovenseptingentillion','Millideciseptingentillion','Milliundeciseptingentillion','Milliduodeciseptingentillion','Millitredeciseptingentillion','Milliquattuordeciseptingentillion','Milliquindeciseptingentillion','Millisedeciseptingentillion','Milliseptendeciseptingentillion','Millioctodeciseptingentillion','Millinovendeciseptingentillion','Millivigintiseptingentillion','Milliunvigintiseptingentillion','Milliduovigintiseptingentillion','Millitresvigintiseptingentillion','Milliquattuorvigintiseptingentillion','Milliquinvigintiseptingentillion','Millisesvigintiseptingentillion','Milliseptemvigintiseptingentillion','Millioctovigintiseptingentillion','Millinovemvigintiseptingentillion','Millitrigintaseptingentillion','Milliuntrigintaseptingentillion','Milliduotrigintaseptingentillion','Millitrestrigintaseptingentillion','Milliquattuortrigintaseptingentillion','Milliquintrigintaseptingentillion','Millisestrigintaseptingentillion','Milliseptentrigintaseptingentillion','Millioctotrigintaseptingentillion','Millinoventrigintaseptingentillion','Milliquadragintaseptingentillion','Milliunquadragintaseptingentillion','Milliduoquadragintaseptingentillion','Millitresquadragintaseptingentillion','Milliquattuorquadragintaseptingentillion','Milliquinquadragintaseptingentillion','Millisesquadragintaseptingentillion','Milliseptenquadragintaseptingentillion','Millioctoquadragintaseptingentillion','Millinovenquadragintaseptingentillion','Milliquinquagintaseptingentillion','Milliunquinquagintaseptingentillion','Milliduoquinquagintaseptingentillion','Millitresquinquagintaseptingentillion','Milliquattuorquinquagintaseptingentillion','Milliquinquinquagintaseptingentillion','Millisesquinquagintaseptingentillion','Milliseptenquinquagintaseptingentillion','Millioctoquinquagintaseptingentillion','Millinovenquinquagintaseptingentillion','Millisexagintaseptingentillion','Milliunsexagintaseptingentillion','Milliduosexagintaseptingentillion','Millitresexagintaseptingentillion','Milliquattuorsexagintaseptingentillion','Milliquinsexagintaseptingentillion','Millisesexagintaseptingentillion','Milliseptensexagintaseptingentillion','Millioctosexagintaseptingentillion','Millinovensexagintaseptingentillion','Milliseptuagintaseptingentillion','Milliunseptuagintaseptingentillion','Milliduoseptuagintaseptingentillion','Millitreseptuagintaseptingentillion','Milliquattuorseptuagintaseptingentillion','Milliquinseptuagintaseptingentillion','Milliseseptuagintaseptingentillion','Milliseptenseptuagintaseptingentillion','Millioctoseptuagintaseptingentillion','Millinovenseptuagintaseptingentillion','Millioctogintaseptingentillion','Milliunoctogintaseptingentillion','Milliduooctogintaseptingentillion','Millitresoctogintaseptingentillion','Milliquattuoroctogintaseptingentillion','Milliquinoctogintaseptingentillion','Millisexoctogintaseptingentillion','Milliseptemoctogintaseptingentillion','Millioctooctogintaseptingentillion','Millinovemoctogintaseptingentillion','Millinonagintaseptingentillion','Milliunnonagintaseptingentillion','Milliduononagintaseptingentillion','Millitrenonagintaseptingentillion','Milliquattuornonagintaseptingentillion','Milliquinnonagintaseptingentillion','Millisenonagintaseptingentillion','Milliseptenonagintaseptingentillion','Millioctononagintaseptingentillion','Millinovenonagintaseptingentillion','Millioctingentillion','Milliunoctingentillion','Milliduooctingentillion','Millitresoctingentillion','Milliquattuoroctingentillion','Milliquinoctingentillion','Millisexoctingentillion','Milliseptemoctingentillion','Millioctooctingentillion','Millinovemoctingentillion','Millidecioctingentillion','Milliundecioctingentillion','Milliduodecioctingentillion','Millitredecioctingentillion','Milliquattuordecioctingentillion','Milliquindecioctingentillion','Millisedecioctingentillion','Milliseptendecioctingentillion','Millioctodecioctingentillion','Millinovendecioctingentillion','Millivigintioctingentillion','Milliunvigintioctingentillion','Milliduovigintioctingentillion','Millitresvigintioctingentillion','Milliquattuorvigintioctingentillion','Milliquinvigintioctingentillion','Millisesvigintioctingentillion','Milliseptemvigintioctingentillion','Millioctovigintioctingentillion','Millinovemvigintioctingentillion','Millitrigintaoctingentillion','Milliuntrigintaoctingentillion','Milliduotrigintaoctingentillion','Millitrestrigintaoctingentillion','Milliquattuortrigintaoctingentillion','Milliquintrigintaoctingentillion','Millisestrigintaoctingentillion','Milliseptentrigintaoctingentillion','Millioctotrigintaoctingentillion','Millinoventrigintaoctingentillion','Milliquadragintaoctingentillion','Milliunquadragintaoctingentillion','Milliduoquadragintaoctingentillion','Millitresquadragintaoctingentillion','Milliquattuorquadragintaoctingentillion','Milliquinquadragintaoctingentillion','Millisesquadragintaoctingentillion','Milliseptenquadragintaoctingentillion','Millioctoquadragintaoctingentillion','Millinovenquadragintaoctingentillion','Milliquinquagintaoctingentillion','Milliunquinquagintaoctingentillion','Milliduoquinquagintaoctingentillion','Millitresquinquagintaoctingentillion','Milliquattuorquinquagintaoctingentillion','Milliquinquinquagintaoctingentillion','Millisesquinquagintaoctingentillion','Milliseptenquinquagintaoctingentillion','Millioctoquinquagintaoctingentillion','Millinovenquinquagintaoctingentillion','Millisexagintaoctingentillion','Milliunsexagintaoctingentillion','Milliduosexagintaoctingentillion','Millitresexagintaoctingentillion','Milliquattuorsexagintaoctingentillion','Milliquinsexagintaoctingentillion','Millisesexagintaoctingentillion','Milliseptensexagintaoctingentillion','Millioctosexagintaoctingentillion','Millinovensexagintaoctingentillion','Milliseptuagintaoctingentillion','Milliunseptuagintaoctingentillion','Milliduoseptuagintaoctingentillion','Millitreseptuagintaoctingentillion','Milliquattuorseptuagintaoctingentillion','Milliquinseptuagintaoctingentillion','Milliseseptuagintaoctingentillion','Milliseptenseptuagintaoctingentillion','Millioctoseptuagintaoctingentillion','Millinovenseptuagintaoctingentillion','Millioctogintaoctingentillion','Milliunoctogintaoctingentillion','Milliduooctogintaoctingentillion','Millitresoctogintaoctingentillion','Milliquattuoroctogintaoctingentillion','Milliquinoctogintaoctingentillion','Millisexoctogintaoctingentillion','Milliseptemoctogintaoctingentillion','Millioctooctogintaoctingentillion','Millinovemoctogintaoctingentillion','Millinonagintaoctingentillion','Milliunnonagintaoctingentillion','Milliduononagintaoctingentillion','Millitrenonagintaoctingentillion','Milliquattuornonagintaoctingentillion','Milliquinnonagintaoctingentillion','Millisenonagintaoctingentillion','Milliseptenonagintaoctingentillion','Millioctononagintaoctingentillion','Millinovenonagintaoctingentillion','Millinongentillion','Milliunnongentillion','Milliduonongentillion','Millitrenongentillion','Milliquattuornongentillion','Milliquinnongentillion','Millisenongentillion','Milliseptenongentillion','Millioctonongentillion','Millinovenongentillion','Millidecinongentillion','Milliundecinongentillion','Milliduodecinongentillion','Millitredecinongentillion','Milliquattuordecinongentillion','Milliquindecinongentillion','Millisedecinongentillion','Milliseptendecinongentillion','Millioctodecinongentillion','Millinovendecinongentillion','Millivigintinongentillion','Milliunvigintinongentillion','Milliduovigintinongentillion','Millitresvigintinongentillion','Milliquattuorvigintinongentillion','Milliquinvigintinongentillion','Millisesvigintinongentillion','Milliseptemvigintinongentillion','Millioctovigintinongentillion','Millinovemvigintinongentillion','Millitrigintanongentillion','Milliuntrigintanongentillion','Milliduotrigintanongentillion','Millitrestrigintanongentillion','Milliquattuortrigintanongentillion','Milliquintrigintanongentillion','Millisestrigintanongentillion','Milliseptentrigintanongentillion','Millioctotrigintanongentillion','Millinoventrigintanongentillion','Milliquadragintanongentillion','Milliunquadragintanongentillion','Milliduoquadragintanongentillion','Millitresquadragintanongentillion','Milliquattuorquadragintanongentillion','Milliquinquadragintanongentillion','Millisesquadragintanongentillion','Milliseptenquadragintanongentillion','Millioctoquadragintanongentillion','Millinovenquadragintanongentillion','Milliquinquagintanongentillion','Milliunquinquagintanongentillion','Milliduoquinquagintanongentillion','Millitresquinquagintanongentillion','Milliquattuorquinquagintanongentillion','Milliquinquinquagintanongentillion','Millisesquinquagintanongentillion','Milliseptenquinquagintanongentillion','Millioctoquinquagintanongentillion','Millinovenquinquagintanongentillion','Millisexagintanongentillion','Milliunsexagintanongentillion','Milliduosexagintanongentillion','Millitresexagintanongentillion','Milliquattuorsexagintanongentillion','Milliquinsexagintanongentillion','Millisesexagintanongentillion','Milliseptensexagintanongentillion','Millioctosexagintanongentillion','Millinovensexagintanongentillion','Milliseptuagintanongentillion','Milliunseptuagintanongentillion','Milliduoseptuagintanongentillion','Millitreseptuagintanongentillion','Milliquattuorseptuagintanongentillion','Milliquinseptuagintanongentillion','Milliseseptuagintanongentillion','Milliseptenseptuagintanongentillion','Millioctoseptuagintanongentillion','Millinovenseptuagintanongentillion','Millioctogintanongentillion','Milliunoctogintanongentillion','Milliduooctogintanongentillion','Millitresoctogintanongentillion','Milliquattuoroctogintanongentillion','Milliquinoctogintanongentillion','Millisexoctogintanongentillion','Milliseptemoctogintanongentillion','Millioctooctogintanongentillion','Millinovemoctogintanongentillion','Millinonagintanongentillion','Milliunnonagintanongentillion','Milliduononagintanongentillion','Millitrenonagintanongentillion','Milliquattuornonagintanongentillion','Milliquinnonagintanongentillion','Millisenonagintanongentillion','Millisepteno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Trilliduononagintillion','Trillitrenonagintillion','Trilliquattuornonagintillion','Trilliquinnonagintillion','Trillisenonagintillion','Trilliseptenonagintillion','Trillioctononagintillion','Trillinovenonagintillion','Trillicentillion','Trilliuncentillion','Trilliduocentillion','Trillitrescentillion','Trilliquattuorcentillion','Trilliquincentillion','Trillisexcentillion','Trilliseptencentillion','Trillioctocentillion','Trillinovencentillion','Trillidecicentillion','Trilliundecicentillion','Trilliduodecicentillion','Trillitredecicentillion','Trilliquattuordecicentillion','Trilliquindecicentillion','Trillisedecicentillion','Trilliseptendecicentillion','Trillioctodecicentillion','Trillinovendecicentillion','Trilliviginticentillion','Trilliunviginticentillion','Trilliduoviginticentillion','Trillitresviginticentillion','Trilliquattuorviginticentillion','Trilliquinviginticentillion','Trillisesviginticentillion','Trilliseptemviginticentillion','Trillioctoviginticentillion','Trillinovemviginticentillion','Trillitrigintacentillion','Trilliuntrigintacentillion','Trilliduotrigintacentillion','Trillitrestrigintacentillion','Trilliquattuortrigintacentillion','Trilliquintrigintacentillion','Trillisestrigintacentillion','Trilliseptentrigintacentillion','Trillioctotrigintacentillion','Trillinoventrigintacentillion','Trilliquadragintacentillion','Trilliunquadragintacentillion','Trilliduoquadragintacentillion','Trillitresquadragintacentillion','Trilliquattuorquadragintacentillion','Trilliquinquadragintacentillion','Trillisesquadragintacentillion','Trilliseptenquadragintacentillion','Trillioctoquadragintacentillion','Trillinovenquadragintacentillion','Trilliquinquagintacentillion','Trilliunquinquagintacentillion','Trilliduoquinquagintacentillion','Trillitresquinquagintacentillion','Trilliquattuorquinquagintacentillion','Trilliquinquinquagintacentillion','Trillisesquinquagintacentillion','Trilliseptenquinquagintacentillion','Trillioctoquinquagintacentillion','Trillinovenquinquagintacentillion','Trillisexagintacentillion','Trilliunsexagintacentillion','Trilliduosexagintacentillion','Trillitresexagintacentillion','Trilliquattuorsexagintacentillion','Trilliquinsexagintacentillion','Trillisesexagintacentillion','Trilliseptensexagintacentillion','Trillioctosexagintacentillion','Trillinovensexagintacentillion','Trilliseptuagintacentillion','Trilliunseptuagintacentillion','Trilliduoseptuagintacentillion','Trillitreseptuagintacentillion','Trilliquattuorseptuagintacentillion','Trilliquinseptuagintacentillion','Trilliseseptuagintacentillion','Trilliseptenseptuagintacentillion','Trillioctoseptuagintacentillion','Trillinovenseptuagintacentillion','Trillioctogintacentillion','Trilliunoctogintacentillion','Trilliduooctogintacentillion','Trillitresoctogintacentillion','Trilliquattuoroctogintacentillion','Trilliquinoctogintacentillion','Trillisexoctogintacentillion','Trilliseptemoctogintacentillion','Trillioctooctogintacentillion','Trillinovemoctogintacentillion','Trillinonagintacentillion','Trilliunnonagintacentillion','Trilliduononagintacentillion','Trillitrenonagintacentillion','Trilliquattuornonagintacentillion','Trilliquinnonagintacentillion','Trillisenonagintacentillion','Trilliseptenonagintacentillion','Trillioctononagintacentillion','Trillinovenonagintacentillion','Trilliducentillion','Trilliunducentillion','Trilliduoducentillion','Trillitreducentillion','Trilliquattuorducentillion','Trilliquinducentillion','Trilliseducentillion','Trilliseptenducentillion','Trillioctoducentillion','Trillinovenducentillion','Trillideciducentillion','Trilliundeciducentillion','Trilliduodeciducentillion','Trillitredeciducentillion','Trilliquattuordeciducentillion','Trilliquindeciducentillion','Trillisedeciducentillion','Trilliseptendeciducentillion','Trillioctodeciducentillion','Trillinovendeciducentillion','Trillivigintiducentillion','Trilliunvigintiducentillion','Trilliduovigintiducentillion','Trillitresvigintiducentillion','Trilliquattuorvigintiducentillion','Trilliquinvigintiducentillion','Trillisesvigintiducentillion','Trilliseptemvigintiducentillion','Trillioctovigintiducentillion','Trillinovemvigintiducentillion','Trillitrigintaducentillion','Trilliuntrigintaducentillion','Trilliduotrigintaducentillion','Trillitrestrigintaducentillion','Trilliquattuortrigintaducentillion','Trilliquintrigintaducentillion','Trillisestrigintaducentillion','Trilliseptentrigintaducentillion','Trillioctotrigintaducentillion','Trillinoventrigintaducentillion','Trilliquadragintaducentillion','Trilliunquadragintaducentillion','Trilliduoquadragintaducentillion','Trillitresquadragintaducentillion','Trilliquattuorquadragintaducentillion','Trilliquinquadragintaducentillion','Trillisesquadragintaducentillion','Trilliseptenquadragintaducentillion','Trillioctoquadragintaducentillion','Trillinovenquadragintaducentillion','Trilliquinquagintaducentillion','Trilliunquinquagintaducentillion','Trilliduoquinquagintaducentillion','Trillitresquinquagintaducentillion','Trilliquattuorquinquagintaducentillion','Trilliquinquinquagintaducentillion','Trillisesquinquagintaducentillion','Trilliseptenquinquagintaducentillion','Trillioctoquinquagintaducentillion','Trillinovenquinquagintaducentillion','Trillisexagintaducentillion','Trilliunsexagintaducentillion','Trilliduosexagintaducentillion','Trillitresexagintaducentillion','Trilliquattuorsexagintaducentillion','Trilliquinsexagintaducentillion','Trillisesexagintaducentillion','Trilliseptensexagintaducentillion','Trillioctosexagintaducentillion','Trillinovensexagintaducentillion','Trilliseptuagintaducentillion','Trilliunseptuagintaducentillion','Trilliduoseptuagintaducentillion','Trillitreseptuagintaducentillion','Trilliquattuorseptuagintaducentillion','Trilliquinseptuagintaducentillion','Trilliseseptuagintaducentillion','Trilliseptenseptuagintaducentillion','Trillioctoseptuagintaducentillion','Trillinovenseptuagintaducentillion','Trillioctogintaducentillion','Trilliunoctogintaducentillion','Trilliduooctogintaducentillion','Trillitresoctogintaducentillion','Trilliquattuoroctogintaducentillion','Trilliquinoctogintaducentillion','Trillisexoctogintaducentillion','Trilliseptemoctogintaducentillion','Trillioctooctogintaducentillion','Trillinovemoctogintaducentillion','Trillinonagintaducentillion','Trilliunnonagintaducentillion','Trilliduononagintaducentillion','Trillitrenonagintaducentillion','Trilliquattuornonagintaducentillion','Trilliquinnonagintaducentillion','Trillisenonagintaducentillion','Trilliseptenonagintaducentillion','Trillioctononagintaducentillion','Trillinovenonagintaducentillion','Trillitrecentillion','Trilliuntrecentillion','Trilliduotrecentillion','Trillitrestrecentillion','Trilliquattuortrecentillion','Trilliquintrecentillion','Trillisestrecentillion','Trilliseptentrecentillion','Trillioctotrecentillion','Trillinoventrecentillion','Trillidecitrecentillion','Trilliundecitrecentillion','Trilliduodecitrecentillion','Trillitredecitrecentillion','Trilliquattuordecitrecentillion','Trilliquindecitrecentillion','Trillisedecitrecentillion','Trilliseptendecitrecentillion','Trillioctodecitrecentillion','Trillinovendecitrecentillion','Trillivigintitrecentillion','Trilliunvigintitrecentillion','Trilliduovigintitrecentillion','Trillitresvigintitrecentillion','Trilliquattuorvigintitrecentillion','Trilliquinvigintitrecentillion','Trillisesvigintitrecentillion','Trilliseptemvigintitrecentillion','Trillioctovigintitrecentillion','Trillinovemvigintitrecentillion','Trillitrigintatrecentillion','Trilliuntrigintatrecentillion','Trilliduotrigintatrecentillion','Trillitrestrigintatrecentillion','Trilliquattuortrigintatrecentillion','Trilliquintrigintatrecentillion','Trillisestrigintatrecentillion','Trilliseptentrigintatrecentillion','Trillioctotrigintatrecentillion','Trillinoventrigintatrecentillion','Trilliquadragintatrecentillion','Trilliunquadragintatrecentillion','Trilliduoquadragintatrecentillion','Trillitresquadragintatrecentillion','Trilliquattuorquadragintatrecentillion','Trilliquinquadragintatrecentillion','Trillisesquadragintatrecentillion','Trilliseptenquadragintatrecentillion','Trillioctoquadragintatrecentillion','Trillinovenquadragintatrecentillion','Trilliquinquagintatrecentillion','Trilliunquinquagintatrecentillion','Trilliduoquinquagintatrecentillion','Trillitresquinquagintatrecentillion','Trilliquattuorquinquagintatrecentillion','Trilliquinquinquagintatrecentillion','Trillisesquinquagintatrecentillion','Trilliseptenquinquagintatrecentillion','Trillioctoquinquagintatrecentillion','Trillinovenquinquagintatrecentillion','Trillisexagintatrecentillion','Trilliunsexagintatrecentillion','Trilliduosexagintatrecentillion','Trillitresexagintatrecentillion','Trilliquattuorsexagintatrecentillion','Trilliquinsexagintatrecentillion','Trillisesexagintatrecentillion','Trilliseptensexagintatrecentillion','Trillioctosexagintatrecentillion','Trillinovensexagintatrecentillion','Trilliseptuagintatrecentillion','Trilliunseptuagintatrecentillion','Trilliduoseptuagintatrecentillion','Trillitreseptuagintatrecentillion','Trilliquattuorseptuagintatrecentillion','Trilliquinseptuagintatrecentillion','Trilliseseptuagintatrecentillion','Trilliseptenseptuagintatrecentillion','Trillioctoseptuagintatrecentillion','Trillinovenseptuagintatrecentillion','Trillioctogintatrecentillion','Trilliunoctogintatrecentillion','Trilliduooctogintatrecentillion','Trillitresoctogintatrecentillion','Trilliquattuoroctogintatrecentillion','Trilliquinoctogintatrecentillion','Trillisexoctogintatrecentillion','Trilliseptemoctogintatrecentillion','Trillioctooctogintatrecentillion','Trillinovemoctogintatrecentillion','Trillinonagintatrecentillion','Trilliunnonagintatrecentillion','Trilliduononagintatrecentillion','Trillitrenonagintatrecentillion','Trilliquattuornonagintatrecentillion','Trilliquinnonagintatrecentillion','Trillisenonagintatrecentillion','Trilliseptenonagintatrecentillion','Trillioctononagintatrecentillion','Trillinovenonagintatrecentillion','Trilliquadringentillion','Trilliunquadringentillion','Trilliduoquadringentillion','Trillitresquadringentillion','Trilliquattuorquadringentillion','Trilliquinquadringentillion','Trillisesquadringentillion','Trilliseptenquadringentillion','Trillioctoquadringentillion','Trillinovenquadringentillion','Trillideciquadringentillion','Trilliundeciquadringentillion','Trilliduodeciquadringentillion','Trillitredeciquadringentillion','Trilliquattuordeciquadringentillion','Trilliquindeciquadringentillion','Trillisedeciquadringentillion','Trilliseptendeciquadringentillion','Trillioctodeciquadringentillion','Trillinovendeciquadringentillion','Trillivigintiquadringentillion','Trilliunvigintiquadringentillion','Trilliduovigintiquadringentillion','Trillitresvigintiquadringentillion','Trilliquattuorvigintiquadringentillion','Trilliquinvigintiquadringentillion','Trillisesvigintiquadringentillion','Trilliseptemvigintiquadringentillion','Trillioctovigintiquadringentillion','Trillinovemvigintiquadringentillion','Trillitrigintaquadringentillion','Trilliuntrigintaquadringentillion','Trilliduotrigintaquadringentillion','Trillitrestrigintaquadringentillion','Trilliquattuortrigintaquadringentillion','Trilliquintrigintaquadringentillion','Trillisestrigintaquadringentillion','Trilliseptentrigintaquadringentillion','Trillioctotrigintaquadringentillion','Trillinoventrigintaquadringentillion','Trilliquadragintaquadringentillion','Trilliunquadragintaquadringentillion','Trilliduoquadragintaquadringentillion','Trillitresquadragintaquadringentillion','Trilliquattuorquadragintaquadringentillion','Trilliquinquadragintaquadringentillion','Trillisesquadragintaquadringentillion','Trilliseptenquadragintaquadringentillion','Trillioctoquadragintaquadringentillion','Trillinovenquadragintaquadringentillion','Trilliquinquagintaquadringentillion','Trilliunquinquagintaquadragintillion','Trilliduoquinquagintaquadragintillion','Trillitresquinquagintaquadragintillion','Trilliquattuorquinquagintaquadragintillion','Trilliquinquinquagintaquadragintillion','Trillisesquinquagintaquadragintillion','Trilliseptenquinquagintaquadragintillion','Trillioctoquinquagintaquadragintillion','Trillinovenquinquagintaquadragintillion','Trillisexagintaquadragintillion','Trilliunsexagintaquadragintillion','Trilliduosexagintaquadragintillion','Trillitresexagintaquadragintillion','Trilliquattuorsexagintaquadragintillion','Trilliquinsexagintaquadragintillion','Trillisesexagintaquadragintillion','Trilliseptensexagintaquadragintillion','Trillioctosexagintaquadragintillion','Trillinovensexagintaquadragintillion','Trilliseptuagintaquadragintillion','Trilliunseptuagintaquadragintillion','Trilliduoseptuagintaquadragintillion','Trillitreseptuagintaquadragintillion','Trilliquattuorseptuagintaquadragintillion','Trilliquinseptuagintaquadragintillion','Trilliseseptuagintaquadragintillion','Trilliseptenseptuagintaquadragintillion','Trillioctoseptuagintaquadragintillion','Trillinovenseptuagintaquadragintillion','Trillioctogintaquadringentillion','Trilliunoctogintaquadragintillion','Trilliduooctogintaquadragintillion','Trillitresoctogintaquadragintillion','Trilliquattuoroctogintaquadragintillion','Trilliquinoctogintaquadragintillion','Trillisexoctogintaquadragintillion','Trilliseptemoctogintaquadragintillion','Trillioctooctogintaquadragintillion','Trillinovemoctogintaquadragintillion','Trillinonagintaquadragintillion','Trilliunnonagintaquadragintillion','Trilliduononagintaquadragintillion','Trillitrenonagintaquadragintillion','Trilliquattuornonagintaquadragintillion','Trilliquinnonagintaquadragintillion','Trillisenonagintaquadragintillion','Trilliseptenonagintaquadragintillion','Trillioctononagintaquadragintillion','Trillinovenonagintaquadragintillion','Trilliquingentillion','Trilliunquingentillion','Trilliduoquingentillion','Trillitresquingentillion','Trilliquattuorquingentillion','Trilliquinquingentillion','Trillisesquingentillion','Trilliseptenquingentillion','Trillioctoquingentillion','Trillinovenquingentillion','Trillideciquingentillion','Trilliundeciquingentillion','Trilliduodeciquingentillion','Trillitredeciquingentillion','Trilliquattuordeciquingentillion','Trilliquindeciquingentillion','Trillisedeciquingentillion','Trilliseptendeciquingentillion','Trillioctodeciquingentillion','Trillinovendeciquingentillion','Trillivigintiquingentillion','Trilliunvigintiquingentillion','Trilliduovigintiquingentillion','Trillitresvigintiquingentillion','Trilliquattuorvigintiquingentillion','Trilliquinvigintiquingentillion','Trillisesvigintiquingentillion','Trilliseptemvigintiquingentillion','Trillioctovigintiquingentillion','Trillinovemvigintiquingentillion','Trillitrigintaquingentillion','Trilliuntrigintaquingentillion','Trilliduotrigintaquingentillion','Trillitrestrigintaquingentillion','Trilliquattuortrigintaquingentillion','Trilliquintrigintaquingentillion','Trillisestrigintaquingentillion','Trilliseptentrigintaquingentillion','Trillioctotrigintaquingentillion','Trillinoventrigintaquingentillion','Trilliquadragintaquingentillion','Trilliunquadragintaquingentillion','Trilliduoquadragintaquingentillion','Trillitresquadragintaquingentillion','Trilliquattuorquadragintaquingentillion','Trilliquinquadragintaquingentillion','Trillisesquadragintaquingentillion','Trilliseptenquadragintaquingentillion','Trillioctoquadragintaquingentillion','Trillinovenquadragintaquingentillion','Trilliquinquagintaquingentillion','Trilliunquinquagintaquingentillion','Trilliduoquinquagintaquingentillion','Trillitresquinquagintaquingentillion','Trilliquattuorquinquagintaquingentillion','Trilliquinquinquagintaquingentillion','Trillisesquinquagintaquingentillion','Trilliseptenquinquagintaquingentillion','Trillioctoquinquagintaquingentillion','Trillinovenquinquagintaquingentillion','Trillisexagintaquingentillion','Trilliunsexagintaquingentillion','Trilliduosexagintaquingentillion','Trillitresexagintaquingentillion','Trilliquattuorsexagintaquingentillion','Trilliquinsexagintaquingentillion','Trillisesexagintaquingentillion','Trilliseptensexagintaquingentillion','Trillioctosexagintaquingentillion','Trillinovensexagintaquingentillion','Trilliseptuagintaquingentillion','Trilliunseptuagintaquingentillion','Trilliduoseptuagintaquingentillion','Trillitreseptuagintaquingentillion','Trilliquattuorseptuagintaquingentillion','Trilliquinseptuagintaquingentillion','Trilliseseptuagintaquingentillion','Trilliseptenseptuagintaquingentillion','Trillioctoseptuagintaquingentillion','Trillinovenseptuagintaquingentillion','Trillioctogintaquingentillion','Trilliunoctogintaquingentillion','Trilliduooctogintaquingentillion','Trillitresoctogintaquingentillion','Trilliquattuoroctogintaquingentillion','Trilliquinoctogintaquingentillion','Trillisexoctogintaquingentillion','Trilliseptemoctogintaquingentillion','Trillioctooctogintaquingentillion','Trillinovemoctogintaquingentillion','Trillinonagintaquingentillion','Trilliunnonagintaquingentillion','Trilliduononagintaquingentillion','Trillitrenonagintaquingentillion','Trilliquattuornonagintaquingentillion','Trilliquinnonagintaquingentillion','Trillisenonagintaquingentillion','Trilliseptenonagintaquingentillion','Trillioctononagintaquingentillion','Trillinovenonagintaquingentillion','Trillisescentillion','Trilliunsescentillion','Trilliduosescentillion','Trillitresescentillion','Trilliquattuorsescentillion','Trilliquinsescentillion','Trillisesescentillion','Trilliseptensescentillion','Trillioctosescentillion','Trillinovensescentillion','Trillidecisescentillion','Trilliundecisescentillion','Trilliduodecisescentillion','Trillitredecisescentillion','Trilliquattuordecisescentillion','Trilliquindecisescentillion','Trillisedecisescentillion','Trilliseptendecisescentillion','Trillioctodecisescentillion','Trillinovendecisescentillion','Trillivigintisescentillion','Trilliunvigintisescentillion','Trilliduovigintisescentillion','Trillitresvigintisescentillion','Trilliquattuorvigintisescentillion','Trilliquinvigintisescentillion','Trillisesvigintisescentillion','Trilliseptemvigintisescentillion','Trillioctovigintisescentillion','Trillinovemvigintisescentillion','Trillitrigintasescentillion','Trilliuntrigintasescentillion','Trilliduotrigintasescentillion','Trillitrestrigintasescentillion','Trilliquattuortrigintasescentillion','Trilliquintrigintasescentillion','Trillisestrigintasescentillion','Trilliseptentrigintasescentillion','Trillioctotrigintasescentillion','Trillinoventrigintasescentillion','Trilliquadragintasescentillion','Trilliunquadragintasescentillion','Trilliduoquadragintasescentillion','Trillitresquadragintasescentillion','Trilliquattuorquadragintasescentillion','Trilliquinquadragintasescentillion','Trillisesquadragintasescentillion','Trilliseptenquadragintasescentillion','Trillioctoquadragintasescentillion','Trillinovenquadragintasescentillion','Trilliquinquagintasescentillion','Trilliunquinquagintasescentillion','Trilliduoquinquagintasescentillion','Trillitresquinquagintasescentillion','Trilliquattuorquinquagintasescentillion','Trilliquinquinquagintasescentillion','Trillisesquinquagintasescentillion','Trilliseptenquinquagintasescentillion','Trillioctoquinquagintasescentillion','Trillinovenquinquagintasescentillion','Trillisexagintasescentillion','Trilliunsexagintasescentillion','Trilliduosexagintasescentillion','Trillitresexagintasescentillion','Trilliquattuorsexagintasescentillion','Trilliquinsexagintasescentillion','Trillisesexagintasescentillion','Trilliseptensexagintasescentillion','Trillioctosexagintasescentillion','Trillinovensexagintasescentillion','Trilliseptuagintasescentillion','Trilliunseptuagintasescentillion','Trilliduoseptuagintasescentillion','Trillitreseptuagintasescentillion','Trilliquattuorseptuagintasescentillion','Trilliquinseptuagintasescentillion','Trilliseseptuagintasescentillion','Trilliseptenseptuagintasescentillion','Trillioctoseptuagintasescentillion','Trillinovenseptuagintasescentillion','Trillioctogintasescentillion','Trilliunoctogintasescentillion','Trilliduooctogintasescentillion','Trillitresoctogintasescentillion','Trilliquattuoroctogintasescentillion','Trilliquinoctogintasescentillion','Trillisexoctogintasescentillion','Trilliseptemoctogintasescentillion','Trillioctooctogintasescentillion','Trillinovemoctogintasescentillion','Trillinonagintasescentillion','Trilliunnonagintasescentillion','Trilliduononagintasescentillion','Trillitrenonagintasescentillion','Trilliquattuornonagintasescentillion','Trilliquinnonagintasescentillion','Trillisenonagintasescentillion','Trilliseptenonagintasescentillion','Trillioctononagintasescentillion','Trillinovenonagintasescentillion','Trilliseptingentillion','Trilliunseptingentillion','Trilliduoseptingentillion','Trillitreseptingentillion','Trilliquattuorseptingentillion','Trilliquinseptingentillion','Trilliseseptingentillion','Trilliseptenseptingentillion','Trillioctoseptingentillion','Trillinovenseptingentillion','Trillideciseptingentillion','Trilliundeciseptingentillion','Trilliduodeciseptingentillion','Trillitredeciseptingentillion','Trilliquattuordeciseptingentillion','Trilliquindeciseptingentillion','Trillisedeciseptingentillion','Trilliseptendeciseptingentillion','Trillioctodeciseptingentillion','Trillinovendeciseptingentillion','Trillivigintiseptingentillion','Trilliunvigintiseptingentillion','Trilliduovigintiseptingentillion','Trillitresvigintiseptingentillion','Trilliquattuorvigintiseptingentillion','Trilliquinvigintiseptingentillion','Trillisesvigintiseptingentillion','Trilliseptemvigintiseptingentillion','Trillioctovigintiseptingentillion','Trillinovemvigintiseptingentillion','Trillitrigintaseptingentillion','Trilliuntrigintaseptingentillion','Trilliduotrigintaseptingentillion','Trillitrestrigintaseptingentillion','Trilliquattuortrigintaseptingentillion','Trilliquintrigintaseptingentillion','Trillisestrigintaseptingentillion','Trilliseptentrigintaseptingentillion','Trillioctotrigintaseptingentillion','Trillinoventrigintaseptingentillion','Trilliquadragintaseptingentillion','Trilliunquadragintaseptingentillion','Trilliduoquadragintaseptingentillion','Trillitresquadragintaseptingentillion','Trilliquattuorquadragintaseptingentillion','Trilliquinquadragintaseptingentillion','Trillisesquadragintaseptingentillion','Trilliseptenquadragintaseptingentillion','Trillioctoquadragintaseptingentillion','Trillinovenquadragintaseptingentillion','Trilliquinquagintaseptingentillion','Trilliunquinquagintaseptingentillion','Trilliduoquinquagintaseptingentillion','Trillitresquinquagintaseptingentillion','Trilliquattuorquinquagintaseptingentillion','Trilliquinquinquagintaseptingentillion','Trillisesquinquagintaseptingentillion','Trilliseptenquinquagintaseptingentillion','Trillioctoquinquagintaseptingentillion','Trillinovenquinquagintaseptingentillion','Trillisexagintaseptingentillion','Trilliunsexagintaseptingentillion','Trilliduosexagintaseptingentillion','Trillitresexagintaseptingentillion','Trilliquattuorsexagintaseptingentillion','Trilliquinsexagintaseptingentillion','Trillisesexagintaseptingentillion','Trilliseptensexagintaseptingentillion','Trillioctosexagintaseptingentillion','Trillinovensexagintaseptingentillion','Trilliseptuagintaseptingentillion','Trilliunseptuagintaseptingentillion','Trilliduoseptuagintaseptingentillion','Trillitreseptuagintaseptingentillion','Trilliquattuorseptuagintaseptingentillion','Trilliquinseptuagintaseptingentillion','Trilliseseptuagintaseptingentillion','Trilliseptenseptuagintaseptingentillion','Trillioctoseptuagintaseptingentillion','Trillinovenseptuagintaseptingentillion','Trillioctogintaseptingentillion','Trilliunoctogintaseptingentillion','Trilliduooctogintaseptingentillion','Trillitresoctogintaseptingentillion','Trilliquattuoroctogintaseptingentillion','Trilliquinoctogintaseptingentillion','Trillisexoctogintaseptingentillion','Trilliseptemoctogintaseptingentillion','Trillioctooctogintaseptingentillion','Trillinovemoctogintaseptingentillion','Trillinonagintaseptingentillion','Trilliunnonagintaseptingentillion','Trilliduononagintaseptingentillion','Trillitrenonagintaseptingentillion','Trilliquattuornonagintaseptingentillion','Trilliquinnonagintaseptingentillion','Trillisenonagintaseptingentillion','Trilliseptenonagintaseptingentillion','Trillioctononagintaseptingentillion','Trillinovenonagintaseptingentillion','Trillioctingentillion','Trilliunoctingentillion','Trilliduooctingentillion','Trillitresoctingentillion','Trilliquattuoroctingentillion','Trilliquinoctingentillion','Trillisexoctingentillion','Trilliseptemoctingentillion','Trillioctooctingentillion','Trillinovemoctingentillion','Trillidecioctingentillion','Trilliundecioctingentillion','Trilliduodecioctingentillion','Trillitredecioctingentillion','Trilliquattuordecioctingentillion','Trilliquindecioctingentillion','Trillisedecioctingentillion','Trilliseptendecioctingentillion','Trillioctodecioctingentillion','Trillinovendecioctingentillion','Trillivigintioctingentillion','Trilliunvigintioctingentillion','Trilliduovigintioctingentillion','Trillitresvigintioctingentillion','Trilliquattuorvigintioctingentillion','Trilliquinvigintioctingentillion','Trillisesvigintioctingentillion','Trilliseptemvigintioctingentillion','Trillioctovigintioctingentillion','Trillinovemvigintioctingentillion','Trillitrigintaoctingentillion','Trilliuntrigintaoctingentillion','Trilliduotrigintaoctingentillion','Trillitrestrigintaoctingentillion','Trilliquattuortrigintaoctingentillion','Trilliquintrigintaoctingentillion','Trillisestrigintaoctingentillion','Trilliseptentrigintaoctingentillion','Trillioctotrigintaoctingentillion','Trillinoventrigintaoctingentillion','Trilliquadragintaoctingentillion','Trilliunquadragintaoctingentillion','Trilliduoquadragintaoctingentillion','Trillitresquadragintaoctingentillion','Trilliquattuorquadragintaoctingentillion','Trilliquinquadragintaoctingentillion','Trillisesquadragintaoctingentillion','Trilliseptenquadragintaoctingentillion','Trillioctoquadragintaoctingentillion','Trillinovenquadragintaoctingentillion','Trilliquinquagintaoctingentillion','Trilliunquinquagintaoctingentillion','Trilliduoquinquagintaoctingentillion','Trillitresquinquagintaoctingentillion','Trilliquattuorquinquagintaoctingentillion','Trilliquinquinquagintaoctingentillion','Trillisesquinquagintaoctingentillion','Trilliseptenquinquagintaoctingentillion','Trillioctoquinquagintaoctingentillion','Trillinovenquinquagintaoctingentillion','Trillisexagintaoctingentillion','Trilliunsexagintaoctingentillion','Trilliduosexagintaoctingentillion','Trillitresexagintaoctingentillion','Trilliquattuorsexagintaoctingentillion','Trilliquinsexagintaoctingentillion','Trillisesexagintaoctingentillion','Trilliseptensexagintaoctingentillion','Trillioctosexagintaoctingentillion','Trillinovensexagintaoctingentillion','Trilliseptuagintaoctingentillion','Trilliunseptuagintaoctingentillion','Trilliduoseptuagintaoctingentillion','Trillitreseptuagintaoctingentillion','Trilliquattuorseptuagintaoctingentillion','Trilliquinseptuagintaoctingentillion','Trilliseseptuagintaoctingentillion','Trilliseptenseptuagintaoctingentillion','Trillioctoseptuagintaoctingentillion','Trillinovenseptuagintaoctingentillion','Trillioctogintaoctingentillion','Trilliunoctogintaoctingentillion','Trilliduooctogintaoctingentillion','Trillitresoctogintaoctingentillion','Trilliquattuoroctogintaoctingentillion','Trilliquinoctogintaoctingentillion','Trillisexoctogintaoctingentillion','Trilliseptemoctogintaoctingentillion','Trillioctooctogintaoctingentillion','Trillinovemoctogintaoctingentillion','Trillinonagintaoctingentillion','Trilliunnonagintaoctingentillion','Trilliduononagintaoctingentillion','Trillitrenonagintaoctingentillion','Trilliquattuornonagintaoctingentillion','Trilliquinnonagintaoctingentillion','Trillisenonagintaoctingentillion','Trilliseptenonagintaoctingentillion','Trillioctononagintaoctingentillion','Trillinovenonagintaoctingentillion','Trillinongentillion','Trilliunnongentillion','Trilliduonongentillion','Trillitrenongentillion','Trilliquattuornongentillion','Trilliquinnongentillion','Trillisenongentillion','Trilliseptenongentillion','Trillioctonongentillion','Trillinovenongentillion','Trillidecinongentillion','Trilliundecinongentillion','Trilliduodecinongentillion','Trillitredecinongentillion','Trilliquattuordecinongentillion','Trilliquindecinongentillion','Trillisedecinongentillion','Trilliseptendecinongentillion','Trillioctodecinongentillion','Trillinovendecinongentillion','Trillivigintinongentillion','Trilliunvigintinongentillion','Trilliduovigintinongentillion','Trillitresvigintinongentillion','Trilliquattuorvigintinongentillion','Trilliquinvigintinongentillion','Trillisesvigintinongentillion','Trilliseptemvigintinongentillion','Trillioctovigintinongentillion','Trillinovemvigintinongentillion','Trillitrigintanongentillion','Trilliuntrigintanongentillion','Trilliduotrigintanongentillion','Trillitrestrigintanongentillion','Trilliquattuortrigintanongentillion','Trilliquintrigintanongentillion','Trillisestrigintanongentillion','Trilliseptentrigintanongentillion','Trillioctotrigintanongentillion','Trillinoventrigintanongentillion','Trilliquadragintanongentillion','Trilliunquadragintanongentillion','Trilliduoquadragintanongentillion','Trillitresquadragintanongentillion','Trilliquattuorquadragintanongentillion','Trilliquinquadragintanongentillion','Trillisesquadragintanongentillion','Trilliseptenquadragintanongentillion','Trillioctoquadragintanongentillion','Trillinovenquadragintanongentillion','Trilliquinquagintanongentillion','Trilliunquinquagintanongentillion','Trilliduoquinquagintanongentillion','Trillitresquinquagintanongentillion','Trilliquattuorquinquagintanongentillion','Trilliquinquinquagintanongentillion','Trillisesquinquagintanongentillion','Trilliseptenquinquagintanongentillion','Trillioctoquinquagintanongentillion','Trillinovenquinquagintanongentillion','Trillisexagintanongentillion','Trilliunsexagintanongentillion','Trilliduosexagintanongentillion','Trillitresexagintanongentillion','Trilliquattuorsexagintanongentillion','Trilliquinsexagintanongentillion','Trillisesexagintanongentillion','Trilliseptensexagintanongentillion','Trillioctosexagintanongentillion','Trillinovensexagintanongentillion','Trilliseptuagintanongentillion','Trilliunseptuagintanongentillion','Trilliduoseptuagintanongentillion','Trillitreseptuagintanongentillion','Trilliquattuorseptuagintanongentillion','Trilliquinseptuagintanongentillion','Trilliseseptuagintanongentillion','Trilliseptenseptuagintanongentillion','Trillioctoseptuagintanongentillion','Trillinovenseptuagintanongentillion','Trillioctogintanongentillion','Trilliunoctogintanongentillion','Trilliduooctogintanongentillion','Trillitresoctogintanongentillion','Trilliquattuoroctogintanongentillion','Trilliquinoctogintanongentillion','Trillisexoctogintanongentillion','Trilliseptemoctogintanongentillion','Trillioctooctogintanongentillion','Trillinovemoctogintanongentillion','Trillinonagintanongentillion','Trilliunnonagintanongentillion','Trilliduononagintanongentillion','Trillitrenonagintanongentillion','Trilliquattuornonagintanongentillion','Trilliquinnonagintanongentillion','Trillisenonagintanongentillion','Trilliseptenonagintanongentillion','Trillioctononagintanongentillion','Trillinovenonagintanongentillion'}
| 40,396 |
imezx/InfiniteMath | imezx-InfiniteMath-f44c4db/src/InfiniteMath/Values/Suffixes.luau | return 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| 14,331 |
imezx/InfiniteMath | imezx-InfiniteMath-f44c4db/src/InfiniteMath/init.luau | --!native
-- forked by @EternityDev
-- originally created by @KdudeDev
--[=[
@class InfiniteMath
InfiniteMath is module that allows you to surpass the limit of -10^308 to 10^308, with a new limit of -10^^308 to 10^^308 (1 with 10^308 zeros)
InfiniteMath has many of the functions from the math library, as well as metamethods for arithmatic and comparison.
Datastores and OrderedDataStores are supported, with special functions for OrderedDataStores.
]=]
--[=[
An InfiniteMath constructed number that has a limit of -10^^308 to 10^^308.
@class Number
]=]
--[=[
@prop DECIMALPOINTS number
@within InfiniteMath
How many decimal points are displayed. 1 = 1.0, 2 = 1.00, 3 = 1.000, etc.
]=]
--[=[
@prop AALENGTHMAX number
@within InfiniteMath
The maximum length for suffixes generated for aaNotation conversions. Exceeding this length results in a scientific number instead.
]=]
local InfiniteMath = {
DECIMALPOINTS = 2,
AALENGTHMAX = 3,
}
local Number = {}
Number.__index = Number
export type Number = typeof(setmetatable({
first = 0 :: number,
second = 0 :: number
}, Number))
--[[ Private variables ]]--
local THRESHOLD = 16
local LEADERBOARDPRECISION, LEADERBOARDPOINT = 10000, 5
local NaN = 0/0
local POW10 = table.create(617)
local SMALL_POW10 = table.create(2*THRESHOLD + 1)
-- pre-compute powers with offset
for i = -308, 308 do
POW10[i + 309] = 10 ^ i
end
for d = -THRESHOLD, THRESHOLD do
SMALL_POW10[d + THRESHOLD + 1] = 10 ^ d
end
local suffixes = require("@self/Values/Suffixes")
local full_names = require("@self/Values/FullNames")
local int = require("@self/Int")
--[[ Private functions ]]--
local function fastNew(first: number, second: number): Number
return setmetatable({ first = first, second = second }, Number)
end
local function pow10(e: number): number
-- e must be integer here
return POW10[e + 309] or (10 ^ e)
end
local function smallPow10(e: number): number
-- e must be integer here
return SMALL_POW10[e + THRESHOLD + 1] or (10 ^ e)
end
local function isInt(x: number): boolean
return x % 1 == 0
end
local function normalize(first: number, second: number): (number, number)
if first == 0 then
return 0, 0
end
local sign = if first < 0 then -1 else 1
local m = math.abs(first)
-- m is always a finite double here. cuz log10(m) is in [-308..308]
local k = math.floor(math.log10(m))
if k ~= 0 then
m /= pow10(k)
second += k
end
if m >= 10 then
m /= 10
second += 1
elseif m < 1 then
m *= 10
second -= 1
end
return m * sign, second
end
local function normalize2(first: number, second: number): (number, number)
if first == 0 then
return 0, 0
end
local sign = if first < 0 then -1 else 1
local m = math.abs(first)
if m >= 10 then
m /= 10
second += 1
if m >= 10 then
m /= 10
second += 1
end
elseif m < 1 then
m *= 10
second -= 1
if m < 1 then
m *= 10
second -= 1
end
end
if m >= 10 or m < 1 then
return normalize(sign * m, second)
end
return sign * m, second
end
local function convert(number: number): (number, number)
if type(number) ~= "number" then
error('Type is not a "number".')
end
if number ~= number then
error("NaN is not supported.")
end
if number == math.huge or number == -math.huge then
error('INF is not supported as a number input. Use "1,1000" or "1e+1000".')
end
if number == 0 then
return 0, 0
end
local sign = if number < 0 then -1 else 1
number = math.abs(number)
-- exponent guess
local e = math.floor(math.log10(number))
-- scale into ~[1,10)
local m = number / (10 ^ e)
if m >= 10 then
m /= 10
e += 1
elseif m < 1 then
m *= 10
e -= 1
end
return m * sign, e
end
local function coerce(x: any): Number
if type(x) == "table" and getmetatable(x) == Number then
return x
elseif type(x) == "number" then
local f, e = convert(x)
return fastNew(f, e)
elseif type(x) == "string" then
return InfiniteMath.new(x)
end
local f = x.first or x[1]
local e = x.second or x[2]
f, e = normalize(f, e)
return fastNew(f, e)
end
local function isNumberObject(x: any): boolean
return type(x) == "table" and getmetatable(x) == Number
end
local function isFieldNaN(v: any): boolean
return v == "nan" or (type(v) == "number" and v ~= v)
end
local function isFieldInf(v: any): boolean
return v == "inf" or v == "-inf"
or (type(v) == "number" and (v == math.huge or v == -math.huge))
end
local function checkNumber(a): Number
if type(a) == "table" and getmetatable(a) == Number then
return a
end
return coerce(a)
end
local function cmp(a: Number, b: Number): number
local f1, e1 = a.first, a.second
local f2, e2 = b.first, b.second
local s1, s2 = math.sign(f1), math.sign(f2)
if s1 ~= s2 then
return (s1 < s2) and -1 or 1
end
if s1 == 0 then return 0 end
-- magnitude
if e1 ~= e2 then
if s1 > 0 then
return (e1 < e2) and -1 or 1
end
return (e1 > e2) and -1 or 1 -- inverted for negatives
end
if f1 ~= f2 then
return (f1 < f2) and -1 or 1
end
return 0
end
local function parseExpString(s: string): (number?, number?)
local m, e = string.match(s, "^%s*([+-]?%d*%.?%d+)%s*,%s*([+-]?%d+)%s*$")
if not m then
m, e = string.match(s, "^%s*([+-]?%d*%.?%d+)%s*[eE]%s*([+-]?%d+)%s*$")
end
if not m then return nil end
return tonumber(m), tonumber(e)
end
-- math metamethods:
function Number.__add(a, b)
a, b = coerce(a), coerce(b)
local first1, second1 = a.first, a.second
local first2, second2 = b.first, b.second
local difference = second1 - second2
if math.abs(difference) > THRESHOLD then -- Check if difference in exponents is greater than threshold
if math.max(second1, second2) == second1 then
return fastNew(first1, second1)
end
return fastNew(first2, second2)
end
first2 *= smallPow10(-difference)
first1, second1 = normalize(first1 + first2, second1)
return fastNew(first1 , second1)
end
function Number.__sub(a, b)
a, b = coerce(a), coerce(b)
local first1, second1 = a.first, a.second
local first2, second2 = b.first, b.second
local difference = second1 - second2
if math.abs(difference) > THRESHOLD then -- Check if difference in exponents is greater than threshold
if math.max(second1, second2) == second1 then
return fastNew(first1 ,second1)
end
return fastNew(first2, second2)
end
first2 *= smallPow10(-difference)
first1, second1 = normalize(first1 - first2, second1)
return fastNew(first1 , second1)
end
function Number.__mul(a, b)
a = coerce(a); b = coerce(b)
local rf, re = normalize2(a.first * b.first, a.second + b.second)
return fastNew(rf, re)
end
function Number.__div(a, b)
a = coerce(a); b = coerce(b)
local rf, re = normalize2(a.first / b.first, a.second - b.second)
return fastNew(rf, re)
end
function Number.__pow(a, power)
a = coerce(a)
if type(power) == "string" then
power = tonumber(power)
elseif type(power) == "table" and getmetatable(power) == Number then
power = power:Reverse()
end
if power == math.huge or power ~= power or type(power) ~= "number" then
error(`'{power}' is not a valid power. If power is 'inf' you must keep it below 10^308.`)
return
end
if power == 0 then
return fastNew(1, 0)
end
local f = a.first
local e = a.second
if f == 0 then
if power < 0 then
error("0 cannot be raised to a negative power")
end
return fastNew(0, 0)
end
local sign = 1
if f < 0 then
if not isInt(power) then
return fastNew(NaN, NaN)
end
if (power % 2) ~= 0 then
sign = -1
end
f = -f
end
-- log10(|a|) = log10(f) + e
local y = power * (math.log10(f) + e)
if y ~= y then
return fastNew(NaN, NaN)
end
if y == math.huge or y == -math.huge then
error("result exponent overflow")
end
local newE = math.floor(y)
local newF = 10 ^ (y - newE) -- in [1,10)
if newF >= 10 then
newF /= 10
newE += 1
end
return fastNew(newF * sign, newE)
end
function Number.__mod(a, b)
a, b = coerce(a), coerce(b)
local sign = InfiniteMath.sign(a)
local divided
if sign == 1 then
divided = InfiniteMath.floor(a / b)
else
divided = InfiniteMath.round(a / b)
end
local nextNum = b * divided
return a - nextNum
end
function Number.__eq(a, b)
a, b = coerce(a), coerce(b)
local c = cmp(a, b)
return (c == c) and (c == 0)
end
function Number.__lt(a, b)
a, b = coerce(a), coerce(b)
local c = cmp(a, b)
if c ~= c then
return false
end
return c < 0
end
function Number.__le(a, b)
a, b = coerce(a), coerce(b)
local c = cmp(a, b)
if c ~= c then
return false
end
return c <= 0
end
function Number.__unm(a)
a = coerce(a)
return fastNew(-a.first, a.second) -- much faster than a * -1
end
function Number.__tostring(self)
return self:GetSuffix(true)
end
function Number.__concat(self, value)
return `{self}{value}`
end
--[[ Class methods ]]--
--[=[
@within InfiniteMath
Returns a new InfiniteMath constructed number
You can use numbers `1`, correctly formatted strings `"1,0"`, tables `{1, 0}`, and other constructed numbers `InfiniteMath.new(1)`.
```lua
print(InfiniteMath.new(1)) -- 1
```
To create a number above 1e+308, we can use strings or tables.
```lua
print(InfiniteMath.new("1,1000")) -- 10DTL
print(InfiniteMath.new({1, 1000})) -- 10DTL
```
@param val number | string | table | Number
@return Number
]=]
function InfiniteMath.new(val : number | string | {} | Number) : Number
local first, second
if type(val) == "table" then
if val.first ~= nil and val.second ~= nil then
if getmetatable(val) ~= Number then
return setmetatable(val, Number)
end
return val
end
first = val[1]
second = val[2]
elseif type(val) == "string" then
local mantStr, expStr = parseExpString(val)
if mantStr and expStr then
first, second = normalize(mantStr, expStr)
else
local n = tonumber(val)
if n == nil then
error('string is not a valid number format. Use "1,0" or "1e+3" etc.')
end
if n == math.huge or n == -math.huge then
error('String overflows to INF. Use explicit exponent like "1e+1000" (supported) or "1,1000".')
end
first, second = convert(n)
end
elseif type(val) == 'number' then
if val ~= val then
error("NaN is not allowed.")
end
if val == math.huge or val == -math.huge then
error('INF number is not allowed. Please use "string" or "table" instead of "number" to go above INF (e.g. "1,1000" or "1e+1000").')
end
first, second = convert(val)
else
error(`'{type(val)}' is not a valid type. Please only use "number", "string", "table", or constructed numbers.`)
return
end
return setmetatable({
first = first,
second = second
}, Number)
end
--[=[
@within Number
Sets the value of the constructed number without creating a new Number metatable. If you want to set the value of a constructed number it is better to use this than setting it to a new `.new()`.
`SetValue` takes a new `first` and `second` to set the value to, if you want to set the value to `100` you must pass `1, 3`.
```lua
local Number = InfiniteMath.new(1000)
print(Number) -- 1000
Number:SetValue(5, 4)
print(Number) -- 5000
```
@method SetValue
@param newFirst number
@param newSecond number
]=]
function Number:SetValue(newFirst: number, newSecond: number)
if type(newFirst) ~= "number" or type(newSecond) ~= "number" then
error('Both parameters of SetValue must be "number"')
end
newFirst, newSecond = normalize(newFirst, newSecond)
self.first = newFirst
self.second = newSecond
end
--[=[
@within Number
Attempts to return the constructed number converted into a regular number. If the constructed number is above 1e+308 it will instead return INF.
```lua
print(InfiniteMath.new("1, 3"):Reverse()) -- 1000
```
@method Reverse
@return number
]=]
function Number:Reverse(): number
local first, second = normalize(self.first, self.second)
return first * 10^second
end
--[=[
@within Number
Returns a string with the number and a suffix at the end, these suffixes will go up to 1e+12000. After, it will default to returning scientific notation.
By default, it will return an abbreviated suffix (1K). Using true will use the default behavior. Using false will return the full suffix (1 Thousand).
```lua
print(InfiniteMath.new(1000):GetSuffix()) -- 1K
print(InfiniteMath.new(1000):GetSuffix(true)) -- 1K
print(InfiniteMath.new(1000):GetSuffix(false)) -- 1 Thousand
```
@method GetSuffix
@param abbreviation boolean | nil
@return string
]=]
function Number:GetSuffix(abbreviation: boolean?): string
if type(abbreviation) ~= "boolean" then
abbreviation = true
end
local first, second = normalize(self.first, self.second)
if second < 3 then
local result = `{self:Reverse()}`
local Length = 2
if math.sign(first) == -1 then Length = 3 end
if math.abs(first) >= 1 then
if InfiniteMath.DECIMALPOINTS > 0 then
result = result:sub(1, second + Length + InfiniteMath.DECIMALPOINTS)
local decimal = string.split(result, ".")[2]
if decimal == nil then return result end
if tonumber(decimal) == 0 then
result = string.split(result, ".")[1]
elseif decimal == string.rep(9 :: any, InfiniteMath.DECIMALPOINTS) then
result = tonumber(string.split(result, ".")[1]) + 1
end
else
result = string.split(result, ".")[1]
end
else
if math.abs(first) <= .01 then return "0" end
result = result:sub(1, second + Length + InfiniteMath.DECIMALPOINTS)
local decimal = result:split(".")[2]
if decimal == string.rep(9 :: any, InfiniteMath.DECIMALPOINTS) then
result = tonumber(string.split(result, ".")[1]) + 1
end
end
return result
end
local secondRemainder = second % 3
first *= smallPow10(secondRemainder)
local suffixIndex = math.floor(second/3)
local dp = InfiniteMath.DECIMALPOINTS
local scale = pow10(dp)
local str = math.floor(first * scale) / scale -- The * 10 / 10 controls decimal precision, more zeros = more decimals
local suffix = if abbreviation then suffixes[suffixIndex] else full_names[suffixIndex]
if not abbreviation and suffix ~= nil then
suffix = " " .. suffix
end
if suffixIndex > 0 then
if suffix ~= nil then
str ..= suffix
else
str = self:ScientificNotation(abbreviation)
end
end
return str
end
--[=[
@within Number
Returns a string with the number formatted in scientific notation.
```lua
print(InfiniteMath.new(1000):ScientificNotation()) -- 1e+3
```
When a number reaches `1e+1000000` you can choose an abbreviation mode for the amount of zeros in the scientific notation. By default, it will use GetSuffix on the exponent `1e+1M`, but you can also choose to have it use scientific notation `1e+1e+6`.
```lua
print(InfiniteMath.new("1, 1e+6"):ScientificNotation()) -- 1e+1M
print(InfiniteMath.new("1, 1e+6"):ScientificNotation(true)) -- 1e+1M
print(InfiniteMath.new("1, 1e+6"):ScientificNotation(false)) -- 1e+1e+6
```
You can also use nil and false to stop the functionality and instead just display `1e+1000000`.
```lua
print(InfiniteMath.new("1, 1e+6"):ScientificNotation(nil, false)) -- 1e+1000000
```
@method ScientificNotation
@param abbreviation boolean | nil
@param secondAbbreviation boolean | nil
@return string
]=]
function Number:ScientificNotation(abbreviation: boolean?, secondAbbreviation: boolean?): string
local first, second = normalize(self.first, self.second)
local dp = InfiniteMath.DECIMALPOINTS
local scale = pow10(dp)
local str = math.floor(first * scale) / scale -- The * 10 / 10 controls decimal precision, more zeros = more decimals
if secondAbbreviation == false then
second = tostring(second)
elseif second > 1e+6 then
second = fastNew(second, 0)
if abbreviation ~= false then
second = second:GetSuffix(true)
else
second = second:ScientificNotation(nil, false)
end
end
return `{str}e+{second}`
end
--[=[
@within Number
Returns a string with the number formatted in logarithmic notation.
```lua
print(InfiniteMath.new(1000):ScientificNotation()) -- e3.0
```
@method LogarithmNotation
@return string
]=]
function Number:LogarithmNotation(): string
local first, second = normalize(self.first, self.second)
first, second = `{first}`, `{second}`
local suffixIndex = math.floor(second/3)
if suffixIndex == 0 then
local secondRemainder = second % 3
first *= 10^secondRemainder
return math.floor(first * 10^InfiniteMath.DECIMALPOINTS)/10^InfiniteMath.DECIMALPOINTS
end
local log = `{math.log10(first :: any)}`
if string.match(log, "%.") then
log = string.split(log, ".")
log = string.sub(log[2], 1, 3)
end
return `e{second}.{log}`
end
local Alphabet = {"a", "b", "c", "d", "e", "f", "g", "h", "i", "j", "k", "l", "m", "n", "o", "p", "q", "r", "s", "t", "u", "v", "w", "x", "y", "z"}
--[=[
@within Number
Returns a string with the number formatted in double letter notation. Use the AALENGTHMAX property to adjust the max letters possible.
```lua
print(InfiniteMath.new(1e+15):aaNotation()) -- 1a
```
@method aaNotation
@return string
]=]
function Number:aaNotation(): string
local first, second = normalize(self.first, self.second)
local secondRemainder = second % 3
first *= smallPow10(secondRemainder)
local suffixIndex = math.floor(second / 3) - 4
if suffixIndex <= 0 then
return self:GetSuffix()
end
local suffix = ""
while suffixIndex > 0 do
local remainder = suffixIndex % #Alphabet
remainder = if remainder == 0 then #Alphabet else remainder
suffix = `{Alphabet[remainder]}{suffix}`
suffixIndex = math.floor((suffixIndex - remainder) / #Alphabet)
end
if #suffix > InfiniteMath.AALENGTHMAX then
return self:ScientificNotation()
end
local dp = InfiniteMath.DECIMALPOINTS
local scale = pow10(dp)
local str = math.floor(first * scale) / scale
return `{str}{suffix}`
end
--[=[
@within Number
Returns a number that you can use for OrderedDataStores in order to create global leaderboards that support InfiniteMath constructed numbers.
```lua
print(InfiniteMath.new(1000):ConvertForLeaderboards()) -- 31000
```
@method ConvertForLeaderboards
@return number
]=]
function Number:ConvertForLeaderboards(): number
local first, second = normalize(self.first, self.second)
first, second = `{first}`, `{second}`
first = string.gsub(first, "%.", "")
return math.floor(tonumber(`{second}.{first:sub(1, LEADERBOARDPOINT)}`) * LEADERBOARDPRECISION)
end
--[=[
@within InfiniteMath
Returns a constructed number, and should be given a number created by `Number:ConvertForLeaderboards`. This is what you will display on global leaderboards using OrderedDataStores.
```lua
local ValueFromStore = InfiniteMath.new(1000):ConvertForLeaderboards()
print(InfiniteMath:ConvertFromLeaderboards(ValueFromStore)) -- 1K
```
@method ConvertFromLeaderboards
@param GivenNumber number
@return Number
]=]
function InfiniteMath:ConvertFromLeaderboards(GivenNumber: number): Number
--return 0
local num = GivenNumber
if num == 0 then
return fastNew(0, 0)
end
num /= LEADERBOARDPRECISION
num = `{num}`
local numbers = string.split('.')
local second, first = numbers[1], numbers[2]
first, second = `{first}`, `{second}`
local firstFirst = string.sub(first, 1, 1)
local firstSecond = string.sub(first, 2)
first = `{firstFirst}.{firstSecond}`
return fastNew(tonumber(first), tonumber(second))
end
--[[ Math methods ]]--
--[=[
@within InfiniteMath
Rounds a number down to the nearest integer
@param Num number | string | table | Number
@return Number
]=]
function InfiniteMath.floor(Num): Number
Num = checkNumber(Num)
local _first, second = normalize(Num.first, Num.second)
if second >= 300 then return Num end -- Rounding after 1e+300 would be pointless, so don't do it.
return InfiniteMath.new(math.floor(Num:Reverse()))
end
--[=[
@within InfiniteMath
Rounds a number to the nearest integer
@param Num number | string | table | Number
@return Number
]=]
function InfiniteMath.round(Num): Number
Num = checkNumber(Num)
local _, second = normalize(Num.first, Num.second)
if second >= 300 then return Num end -- Rounding after 1e+300 would be pointless, so don't do it.
local r = Num:Reverse() -- finite here due to second < 300
local rounded = if r >= 0 then math.floor(r + 0.5) else math.ceil(r - 0.5)
return fastNew(rounded, 0)
end
--[=[
@within InfiniteMath
Rounds a number up to the nearest integer
@param Num number | string | table | Number
@return Number
]=]
function InfiniteMath.ceil(Num): Number
Num = checkNumber(Num)
local _first, second = normalize(Num.first, Num.second)
if second >= 300 then return Num end -- Rounding after 1e+300 would be pointless, so don't do it.
return fastNew(math.ceil(Num:Reverse()), 0)
end
--[=[
@within InfiniteMath
Returns the absolute value (distance from 0)
@param Num number | string | table | Number
@return Number
]=]
function InfiniteMath.abs(Num): Number
Num = checkNumber(Num)
local first, second = normalize(Num.first, Num.second)
return fastNew(math.abs(first), second)
end
--[=[
@within InfiniteMath
Clamps a number between a minimum and maximum value
@param Num number | string | table | Number
@param Min number | string | table | Number
@param Max number | string | table | Number
@return Number
]=]
function InfiniteMath.clamp<T, A, B>(Num: T, Min: A, Max: B): T
Num = checkNumber(Num)
local first, second = normalize(Num.first, Num.second)
Num = fastNew(first, second)
if Min ~= nil then
Min = checkNumber(Min)
local firstMin, secondMin = normalize(Min.first, Min.second)
Min = fastNew(firstMin, secondMin)
else
Min = fastNew(0, 0)
end
if Max ~= nil then
Max = checkNumber(Max)
local firstMax, secondMax = normalize(Max.first, Max.second)
Max = fastNew(firstMax, secondMax)
else
Max = fastNew(1, 1e+308)
end
Num = if Num < Min then Min elseif Num > Max then Max else Num
return Num
end
--[=[
@within InfiniteMath
Returns the smallest number among the given arguments
@param ... number | string | table | Number
@return Number
]=]
function InfiniteMath.min(...): Number
local Numbers = {...}
if Numbers[1] == nil then
error("InfiniteMath.min requires at least 1 argument.")
end
for Index, Num in Numbers do
Numbers[Index] = checkNumber(Num)
end
local Min = Numbers[1]
for _, Num in Numbers do
if Num < Min then
Min = Num
end
end
return Min
end
--[=[
@within InfiniteMath
Returns the largest number among the given arguments
@param ... number | string | table | Number
@return Number
]=]
function InfiniteMath.max(...): Number
local Numbers = {...}
if Numbers[1] == nil then
error("InfiniteMath.max requires at least 1 argument.")
end
for Index, Num in Numbers do
Numbers[Index] = checkNumber(Num)
end
local Max = Numbers[1]
for _, Num in Numbers do
if Num > Max then
Max = Num
end
end
return Max
end
--[=[
@within InfiniteMath
Returns the sign of the number. Negative numbers return -1, positive numbers return 1, 0 returns 0.
@param Num number | string | table | Number
@return number
]=]
function InfiniteMath.sign(Num): number
Num = checkNumber(Num)
local first = normalize(Num.first, Num.second)
first = tonumber(first)
return if first > 0 then 1 elseif first < 0 then -1 else 0
end
--[=[
@within InfiniteMath
Returns the square root of a number
@param Num number | string | table | Number
@return Number
]=]
function InfiniteMath.sqrt(Num): Number
return Num^.5
end
--[=[
@within InfiniteMath
Returns the remainder of the division of a by b that rounds the quotient towards zero.
@param a number | string | table | Number
@param b number | string | table | Number
@return Number
]=]
function InfiniteMath.fmod(a, b): Number
a, b = checkNumber(a), checkNumber(b)
local q = a / b
local qi = (InfiniteMath.sign(q) >= 0) and InfiniteMath.floor(q) or InfiniteMath.ceil(q)
return a - b * qi
end
--[=[
@within InfiniteMath
Returns both the integral part of n and the fractional part (if there is one).
@param Num number | string | table | Number
@return Number
]=]
function InfiniteMath.modf(Num): (Number, number?)
Num = checkNumber(Num)
local sign = InfiniteMath.sign(Num)
Num *= sign
local first, second = normalize(Num.first, Num.second)
local firstSplit = tostring(first):split(".")
if firstSplit[2] ~= nil then
first = string.sub(firstSplit[2], 1, second)
first = firstSplit[1].."."..first
local power = if second == 0 then 2 else second
local decimal
if second > 0 then
local a = string.sub(firstSplit[2], power + 1)
decimal = a / 10^#a
else
decimal = firstSplit[2] / 10^#firstSplit[2]
end
return fastNew(first, second) * sign, decimal
end
return Num
end
--[=[
@within InfiniteMath
Returns the logarithm of x with the given base. Default base is constant e (2.7182818)
@param Num number | string | table | Number
@param Base number
@return Number
]=]
function InfiniteMath.log(Num, Base): Number
Num = checkNumber(Num)
if InfiniteMath.sign(Num) == -1 then
return NaN -- log of a negative number is always nan
end
if Base == nil then
Base = 2.7182818
end
local f, e = normalize(Num.first, Num.second)
-- log_base(Num) = log_base(f) + e * log_base(10)
local term1 = InfiniteMath.new(e) * math.log(10, Base)
local term2 = InfiniteMath.new(math.log(f, Base))
return term1 + term2
end
--[=[
@within InfiniteMath
Returns the base-10 logarithm of x.
@param Num number | string | table | Number
@return Number
]=]
function InfiniteMath.log10(Num): Number
return InfiniteMath.log(Num, 10)
end
--[=[
@within InfiniteMath
Checks if a value is nil (or an invalid constructed number).
This is meant as a "safe check" for external inputs / user data.
Returns true if:
- `x == nil`, OR
- `x` is a constructed `Number` but has missing fields (`first` or `second` is nil).
@param x any
@return boolean
]=]
function InfiniteMath.isNil(x: any): boolean
if x == nil then
return true
end
if isNumberObject(x) then
return x.first == nil or x.second == nil
end
return false
end
--[=[
@within InfiniteMath
Checks if a value is NaN.
Supported inputs:
- `number`: true if `x ~= x`
- constructed `Number`: true if either internal field is NaN-like
- `string`: true if it contains "nan"
- anything else: false
This function does NOT throw.
@param x any
@return boolean
]=]
function InfiniteMath.isNaN(x: any): boolean
if x == nil then
return false
end
if type(x) == "number" then
return x ~= x
end
if isNumberObject(x) then
return isFieldNaN(x.first) or isFieldNaN(x.second)
end
if type(x) == "string" then
return x == "nan"
end
return false
end
--[=[
@within InfiniteMath
Checks if a value is positive or negative infinity.
Supported inputs:
- `number`: true if `x == math.huge` or `x == -math.huge`
- constructed `Number`: true if either internal field is inf-like
- `string`: true if it equals "inf", "-inf"
- anything else: false
This function does NOT throw.
@param x any
@return boolean
]=]
function InfiniteMath.isInf(x: any): boolean
if x == nil then
return false
end
if type(x) == "number" then
return x == math.huge or x == -math.huge
end
if isNumberObject(x) then
return isFieldInf(x.first) or isFieldInf(x.second)
end
if type(x) == "string" then
return x == "inf" or x == "-inf"
end
return false
end
--[=[
@within InfiniteMath
Checks if a value represents exactly zero.
Note:
- For constructed `Number`s, it normalizes using `fixNumber`, so values like `{0, 1000}` are treated as zero.
Supported inputs:
- `number`
- constructed `Number`
- `string` (tries `tonumber`, and also supports `"0,123"` style)
This function does NOT throw.
@param x any
@return boolean
]=]
function InfiniteMath.isZero(x: any): boolean
if x == nil then
return false
end
if type(x) == "number" then
return x == 0
end
if isNumberObject(x) then
local f, e = normalize(x.first, x.second)
return f == 0 and e == 0
end
if type(x) == "string" then
local n = tonumber(x)
if n ~= nil then
return n == 0
end
-- "0,1234" style
local a = x:match("^%s*([+-]?%d*%.?%d+)%s*,")
return a ~= nil and tonumber(a) == 0
end
return false
end
InfiniteMath.Int = int(InfiniteMath)
return InfiniteMath
| 8,306 |
imezx/JPSPlus | imezx-JPSPlus-127f489/benchmark.luau | "--!native\n--!optimize 2\nlocal RunService = game:GetService(\"RunService\")\n\nlocal JPSPlus = req(...TRUNCATED) | 1,686 |
imezx/JPSPlus | imezx-JPSPlus-127f489/playground/WorldGrid.luau | "local WorldGrid = {}\nWorldGrid.__index = WorldGrid\n\nfunction WorldGrid.new(origin: Vector3, cell(...TRUNCATED) | 218 |
imezx/JPSPlus | imezx-JPSPlus-127f489/src/dirs.luau | "--!optimize 2\nlocal Dirs = {}\n\n@native\nlocal function bit(d) return bit32.lshift(1, d-1) end\n\(...TRUNCATED) | 648 |
imezx/JPSPlus | imezx-JPSPlus-127f489/src/grid.luau | "--!optimize 2\nlocal Grid = {}\nGrid.__index = Grid\n\nGrid.DiagonalPolicy = {\n\tAlways = \"Always(...TRUNCATED) | 485 |
imezx/JPSPlus | imezx-JPSPlus-127f489/src/init.luau | "--@EternityDev\n-- Jump Point Search Plus (JPS+)\nlocal JPSPlus = {}\n\nJPSPlus.dirs = require(\"@s(...TRUNCATED) | 86 |
imezx/JPSPlus | imezx-JPSPlus-127f489/src/planner.luau | "--!native\n--!optimize 2\nlocal Dirs = require(\"./dirs\")\nlocal PQ = require(\"./priorityqueue\")(...TRUNCATED) | 2,695 |
Luau Stack HQ
Luau Stack HQ is a highly curated & deduplicated Luau source code from github repository with linter (stylua), it contains ~16.48M tokens (21704 unique files & 276 unique repo). It is built strictly for the training stages, providing a pristine density of type-safe, functional architecture without the noise of standard web scrapes.
# Filtering Pipeline
To ensure the highest quality data for pretraining, the dataset was built using a rigorous, multi-step extraction and filtering pipeline:
- Repository Selection: * Target Terms: Searches focus on
rbx,rblx,roblox, andluau.- Quality: Minimum of 5 stars.
- Relevance: Because Luau is updated frequently, only repositories active or pushed within the last 2.5 years are included.
- Repo Deduplication: Forks are strictly excluded.
- Auto-Formatting (
StyLua): Every raw.luauand.luafile is piped throughStyLuato ensure consistent syntax. Unparseable files are dropped. - Cheat & Exploit Removal: * Repositories with cheat-related keywords in their name, description, or topics (e.g.,
aimbot,executor,synapse,krnl) are blacklisted.- Code containing Roblox exploit globals (e.g.,
getfenv,setfenv,hookfunction,loadstring,getrawmetatable) is entirely discarded.
- Code containing Roblox exploit globals (e.g.,
- Noise Reduction: Test files, mocks,
.spec.files, and compiled/dist/directories are ignored. Files smaller than 100 bytes or larger than 1MB are also excluded.
# Licensing
The source code contained within this dataset belongs to their respective original authors. All data was sourced from public GitHub repositories under open-source licenses, with forks explicitly excluded. Please respect the original repository licenses when utilizing this dataset for commercial model training.
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