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minoki/seki-bernoulli.lua

Last active December 15, 2021 03:12
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Standard ML on LuaTeX: Bernoulli numbers
Raw
seki-bernoulli.lua
local assert = assert
local error = error
local getmetatable = getmetatable
local pairs = pairs
local pcall = pcall
local setmetatable = setmetatable
local math = math
local math_abs = math.abs
local math_type = math.type
local math_maxinteger = math.maxinteger
local math_mininteger = math.mininteger
local math_ult = math.ult
local string = string
local string_format = string.format
local table = table
local table_pack = table.pack
local table_unpack = table.unpack
local function _Unit_EQUAL(t)
return true
end
local function _Record_EQUAL(fields)
return function(t)
local a, b = t[1], t[2]
for k,eq in pairs(fields) do
if not eq({a[k], b[k]}) then
return false
end
end
return true
end
end
local function _EQUAL(t)
return t[1] == t[2]
end
local function _id(x)
return x
end
local _exn_meta = {}
function _exn_meta:__tostring()
local traceback = self.traceback
if traceback then
traceback = "\n" .. traceback
else
traceback = ""
end
return string_format("%s: %s%s", self.location or "<no location info>", self.tag[1], traceback)
end
local _Match_tag = { "Match" }
local _Match = setmetatable({ tag = _Match_tag }, _exn_meta)
local _Bind_tag = { "Bind" }
local _Bind = setmetatable({ tag = _Bind_tag }, _exn_meta)
local _Overflow_tag = { "Overflow" }
local _Overflow = setmetatable({ tag = _Overflow_tag }, _exn_meta)
local _Div_tag = { "Div" }
local _Div = setmetatable({ tag = _Div_tag }, _exn_meta)
local _Size_tag = { "Size" }
local _Size = setmetatable({ tag = _Size_tag }, _exn_meta)
local _Subscript_tag = { "Subscript" }
local _Subscript = setmetatable({ tag = _Subscript_tag }, _exn_meta)
local _Fail_tag = { "Fail" }
local function _Fail(message)
return setmetatable({ tag = _Fail_tag, payload = message }, _exn_meta)
end
local function __exn_instanceof(e, tag)
return getmetatable(e) == _exn_meta and e.tag == tag
end
local function _raise(x, location)
local traceback = debug.traceback(nil, 2)
local e = setmetatable({ tag = x.tag, payload = x.payload, location = location, traceback = traceback }, _exn_meta)
error(e, 1)
end
-- Int
local function __Int_add(x, y)
-- assert(math_type(x) == "integer")
-- assert(math_type(y) == "integer")
local z = x + y
if y > 0 and z < x then
_raise(_Overflow, "Int.+")
elseif y < 0 and z > x then
_raise(_Overflow, "Int.+")
else
return z
end
end
local function __Int_sub(x, y)
-- assert(math_type(x) == "integer")
-- assert(math_type(y) == "integer")
local z = x - y
if y < 0 and z < x then
_raise(_Overflow, "Int.-")
elseif y > 0 and x < z then
_raise(_Overflow, "Int.-")
else
return z
end
end
local function __Int_mul(x, y)
-- assert(math_type(x) == "integer")
-- assert(math_type(y) == "integer")
local z = x * y
if (x ~= 0 and z // x ~= y) or (y ~= 0 and z // y ~= x) then
_raise(_Overflow, "Int.*")
else
return z
end
end
local function __Int_div(x, y)
-- assert(math_type(x) == "integer")
-- assert(math_type(y) == "integer")
if y == 0 then
_raise(_Div, "Int.div")
elseif x == math_mininteger and y == -1 then
_raise(_Overflow, "Int.div")
end
return x // y
end
local function __Int_mod(x, y)
-- assert(math_type(x) == "integer")
-- assert(math_type(y) == "integer")
if y == 0 then
_raise(_Div, "Int.mod")
end
return x % y
end
local function _Int_negate(x)
-- assert(math_type(x) == "integer")
if x == math_mininteger then
_raise(_Overflow, "Int.~")
end
return - x
end
local function _Int_abs(x)
-- assert(math_type(x) == "integer")
if x == math_mininteger then
_raise(_Overflow, "Int.abs")
end
return math_abs(x)
end
-- Word
local function __Word_div(x, y)
-- assert(math_type(x) == "integer")
-- assert(math_type(y) == "integer")
if y == 0 then
_raise(_Div, "Word.div")
elseif y > 0 then
if x >= 0 then
return x // y
else -- x < 0
-- Algorithm from Programming in Lua, 4th ed.
local q = ((x >> 1) // y) << 1
local r = x - q * y
if math_ult(r, y) then
return q
else
return q + 1
end
end
else -- y < 0
if math_ult(x, y) then
return 0
else
return 1
end
end
end
local function __Word_mod(x, y)
-- assert(math_type(x) == "integer")
-- assert(math_type(y) == "integer")
if y == 0 then
_raise(_Div, "Word.mod")
elseif y > 0 then
if x >= 0 then
return x % y
else -- x < 0
local q = ((x >> 1) // y) << 1
local r = x - q * y
if math_ult(r, y) then
return r
else
return r - y
end
end
else -- y < 0
if math_ult(x, y) then
return x
else
return x - y
end
end
end
local __Word_LT = math_ult
-- List
local _nil = { tag = "nil" }
local function _cons(t)
return { tag = "::", payload = t }
end
local function _List_EQUAL(eq)
local function go(a, b)
local at, bt = a.tag, b.tag
if at ~= bt then
return false
elseif at == "nil" then
return true
elseif eq({a.payload[1], b.payload[1]}) then
return go(a.payload[2], b.payload[2])
else
return false
end
end
return function(t)
return go(t[1], t[2])
end
end
local function _list(t)
local xs = _nil
for i = t.n, 1, -1 do
xs = { tag = "::", payload = { t[i], xs } }
end
return xs
end
-- Ref
local function _ref(x)
return { tag = "ref", payload = x }
end
-- Array
local function _Array_array(t)
local n, init = t[1], t[2]
if n < 0 then -- or maxLen < n
_raise(_Size, "Array.array")
end
local t = { n = n }
for i = 1, n do
t[i] = init
end
return t
end
local function _VectorOrArray_fromList(xs)
local t = {}
local n = 0
while xs.tag == "::" do
n = n + 1
t[n] = xs.payload[1]
xs = xs.payload[2]
end
t.n = n
return t
end
local function _VectorOrArray_tabulate(t)
local n, f = t[1], t[2]
if n < 0 then -- or maxLen < n
_raise(_Size, "(Vector|Array).tabulate")
end
local t = { n = n }
for i = 1, n do
t[i] = f(i - 1)
end
return t
end
-- Vector
local function _Vector_EQUAL(eq)
local function go(a, b)
local n = a.n
if n ~= b.n then
return false
end
for i = 1, n do
if not eq({a[i], b[i]}) then
return false
end
end
return true
end
return function(t)
return go(t[1], t[2])
end
end
local function _Vector_concat(xs)
local n = 0
local t = {}
while xs.tag == "::" do
local p = xs.payload
local u = p[1]
local m = u.n
for i = 1,m do
t[n + i] = u[i]
end
n = n + m
xs = p[2]
end
t.n = n
return t
end
-- Lua interface
local function _Lua_global(name)
return _ENV[name]
end
local function _Lua_call(f)
return function(v)
return table_pack(f(table_unpack(v, 1, v.n)))
end
end
local function _Lua_method(t)
local self, name = t[1], t[2]
return function(v)
return table_pack(self[name](self, table_unpack(v, 1, v.n)))
end
end
local function _Lua_newTable()
return {}
end
local function _Lua_function(f)
return function(...)
local r = f(table_pack(...))
return table_unpack(r, 1, r.n)
end
end
local NONE_386 = { tag = "NONE" }
local function SOME_385(x)
return { tag = "SOME", payload = x }
end
local sub_547 = function(a_548)
local vec_550 = a_548[1]
local tmp_9931 = 0
local x_3499 = a_548[2]
local tmp0
if x_3499 < tmp_9931 then
tmp0 = true
else
local tmp_9932
do
local a_3508 = vec_550
tmp_9932 = a_3508.n
end
local y_3504 = a_548[2]
tmp0 = tmp_9932 <= y_3504
end
if tmp0 then
_raise(_Subscript, "mlbasis.sml:113:24")
else
local vec_3517 = a_548[1]
local i_3518 = a_548[2]
return vec_3517[i_3518 + 1]
end
end
local concat_688, gsub_684, tostring_676
do
tostring_676 = _Lua_global("tostring")
local tmp_9949 = "gsub"
local t_3601 = string
local a_3603
do
local x_3606 = tmp_9949
local tmp_9951 = x_3606
a_3603 = {t_3601, tmp_9951}
end
local t_3608 = a_3603[1]
local k_3609 = a_3603[2]
gsub_684 = t_3608[k_3609]
local tmp_9958 = "concat"
local t_3634 = table
local a_3636
do
local x_3639 = tmp_9958
local tmp_9960 = x_3639
a_3636 = {t_3634, tmp_9960}
end
local t_3641 = a_3636[1]
local k_3642 = a_3636[2]
concat_688 = t_3641[k_3642]
end
local EQUAL_892, EQUALorder_1820, GREATER_891, LESS_893
do
LESS_893 = { tag = "LESS" }
EQUAL_892 = { tag = "EQUAL" }
GREATER_891 = { tag = "GREATER" }
EQUALorder_1820 = function(p_1821)
local tmp1
if p_1821[1].tag == "LESS" then
tmp1 = p_1821[2].tag == "LESS"
else
tmp1 = false
end
if tmp1 then
return true
else
local tmp2
if p_1821[1].tag == "EQUAL" then
tmp2 = p_1821[2].tag == "EQUAL"
else
tmp2 = false
end
if tmp2 then
return true
else
local tmp3
if p_1821[1].tag == "GREATER" then
tmp3 = p_1821[2].tag == "GREATER"
else
tmp3 = false
end
if tmp3 then
return true
else
return false
end
end
end
end
end
do
local BIN_922 = { tag = "BIN" }
local OCT_921 = { tag = "OCT" }
local DEC_920 = { tag = "DEC" }
local HEX_919 = { tag = "HEX" }
local function SCI_926(x)
return { tag = "SCI", payload = x }
end
local function FIX_925(x)
return { tag = "FIX", payload = x }
end
local function GEN_924(x)
return { tag = "GEN", payload = x }
end
local EXACT_923 = { tag = "EXACT" }
end
local minInt_946, toString_992
do
local a_4243 = math_mininteger
local x_4245 = a_4243
minInt_946 = SOME_385(x_4245)
toString_992 = function(a_993)
local x_4396 = a_993
local result_995 = table_pack(tostring_676(x_4396))
local tmp4 = sub_547({result_995, 0})
local a_4397 = "-"
local x_4399 = a_4397
local a_4400 = "~"
local x_4402 = a_4400
local result_996 = table_pack(gsub_684(tmp4, x_4399, x_4402))
local a_4406 = sub_547({result_996, 0})
local x_4408 = a_4406
return x_4408
end
end
local computeWordSize_1008
computeWordSize_1008 = function(a_1009)
local x_1011 = a_1009[1]
local n_1010 = a_1009[2]
if x_1011 == 0 then
return n_1010
else
local a_4449
do
local a_4452
do
local a_4456 = x_1011
local x_4458 = a_4456
local tmp_10015 = x_4458
local a_4459 = 1
local x_4461 = a_4459
local tmp_10014 = x_4461
a_4452 = {tmp_10015, tmp_10014}
end
local x_4454 = a_4452[1]
local y_4455 = a_4452[2]
a_4449 = x_4454 >> y_4455
end
local x_4451 = a_4449
local tmp_10016 = 1
local x_4464 = a_1009[2]
local tmp5 = __Int_add(x_4464, tmp_10016)
return computeWordSize_1008({x_4451, tmp5})
end
end
local a_4469 = math_maxinteger
local x_4471 = a_4469
local wordSize_1007 = computeWordSize_1008({x_4471, 1})
local copyVec_1600, sub_1591, update_1595
do
sub_1591 = function(a_1592)
local arr_1594 = a_1592[1]
local tmp_10116 = 0
local x_5763 = a_1592[2]
local tmp6
if x_5763 < tmp_10116 then
tmp6 = true
else
local tmp_10117
do
local a_5772 = arr_1594
tmp_10117 = a_5772.n
end
local y_5768 = a_1592[2]
tmp6 = tmp_10117 <= y_5768
end
if tmp6 then
_raise(_Subscript, "mlbasis.sml:1217:24")
else
local arr_5781 = a_1592[1]
local i_5782 = a_1592[2]
return arr_5781[i_5782 + 1]
end
end
update_1595 = function(a_1596)
local arr_1599 = a_1596[1]
local tmp_10118 = 0
local x_5785 = a_1596[2]
local tmp7
if x_5785 < tmp_10118 then
tmp7 = true
else
local tmp_10119
do
local a_5794 = arr_1599
tmp_10119 = a_5794.n
end
local y_5790 = a_1596[2]
tmp7 = tmp_10119 <= y_5790
end
if tmp7 then
_raise(_Subscript, "mlbasis.sml:1221:34")
else
local arr_5804 = a_1596[1]
local i_5805 = a_1596[2]
local v_5806 = a_1596[3]
arr_5804[i_5805 + 1] = v_5806
return nil
end
end
copyVec_1600 = function(a_1601)
local src_1604 = a_1601["src"]
local dst_1603 = a_1601["dst"]
local srcLen_1605
do
local a_5810 = src_1604
srcLen_1605 = a_5810.n
end
local tmp_10120 = 0
local y_5816 = a_1601["di"]
local tmp8
if tmp_10120 <= y_5816 then
local tmp_10122, tmp_10123
do
local tmp_10121
do
local a_5828 = src_1604
tmp_10121 = a_5828.n
end
local x_5823 = a_1601["di"]
tmp_10123 = __Int_add(x_5823, tmp_10121)
local a_5834 = dst_1603
tmp_10122 = a_5834.n
end
tmp8 = tmp_10123 <= tmp_10122
else
tmp8 = false
end
if tmp8 then
local loop_1606
loop_1606 = function(a_1607)
if a_1607 >= srcLen_1605 then
return nil
else
local tmp_10124, tmp_10125
do
local x_5853 = a_1601["di"]
tmp_10125 = __Int_add(x_5853, a_1607)
local vec_5861 = a_1601["src"]
tmp_10124 = vec_5861[a_1607 + 1]
end
local arr_5848 = a_1601["dst"]
arr_5848[tmp_10125 + 1] = tmp_10124
local tmp_10126 = 1
local tmp9 = __Int_add(a_1607, tmp_10126)
return loop_1606(tmp9)
end
end
return loop_1606(0)
else
_raise(_Subscript, "mlbasis.sml:1235:39")
end
end
end
local VectorSlice_1908
do
local sub_1855 = function(a_1856)
local tmp_10159 = 0
local y_6346 = a_1856[2]
local tmp10
if tmp_10159 <= y_6346 then
local x_6349 = a_1856[2]
local y_6350 = a_1856[1]["length"]
tmp10 = x_6349 < y_6350
else
tmp10 = false
end
if tmp10 then
local tmp_10160
do
local x_6361 = a_1856[1]["start"]
local y_6362 = a_1856[2]
tmp_10160 = __Int_add(x_6361, y_6362)
end
local vec_6357 = a_1856[1]["base"]
return vec_6357[tmp_10160 + 1]
else
_raise(_Subscript, "vector-slice.sml:20:44")
end
end
local slice_1864 = function(a_1865)
if a_1865[3].tag == "NONE" then
local a_1867 = a_1865[1]
local i_1866 = a_1865[2]
local tmp_10161 = 0
local y_6372 = a_1865[2]
local tmp11
if tmp_10161 <= y_6372 then
local tmp_10162
do
local a_6380 = a_1867
tmp_10162 = a_6380.n
end
local x_6375 = a_1865[2]
tmp11 = x_6375 <= tmp_10162
else
tmp11 = false
end
if tmp11 then
local tmp_10163
do
local a_6390 = a_1867
tmp_10163 = a_6390.n
end
local y_6386 = a_1865[2]
local tmp12 = __Int_sub(tmp_10163, y_6386)
return {["base"] = a_1867, ["start"] = i_1866, ["length"] = tmp12}
else
_raise(_Subscript, "vector-slice.sml:25:30")
end
elseif a_1865[3].tag == "SOME" then
local a_1870 = a_1865[1]
local i_1869 = a_1865[2]
local n_1868 = a_1865[3].payload
local tmp_10164 = 0
local y_6396 = a_1865[2]
local tmp13
if tmp_10164 <= y_6396 then
local tmp_10165 = 0
tmp13 = tmp_10165 <= n_1868
else
tmp13 = false
end
local tmp14
if tmp13 then
local tmp_10166, tmp_10167
do
local x_6407 = a_1865[2]
tmp_10167 = __Int_add(x_6407, n_1868)
local a_6412 = a_1870
tmp_10166 = a_6412.n
end
tmp14 = tmp_10167 <= tmp_10166
else
tmp14 = false
end
if tmp14 then
return {["base"] = a_1870, ["start"] = i_1869, ["length"] = n_1868}
else
_raise(_Subscript, "vector-slice.sml:29:32")
end
else
_raise(_Match, "vector-slice.sml:22:5")
end
end
local subslice_1871 = function(a_1872)
if a_1872[3].tag == "NONE" then
local base_1876 = a_1872[1]["base"]
local tmp_10168 = 0
local y_6418 = a_1872[2]
local tmp15
if tmp_10168 <= y_6418 then
local x_6421 = a_1872[2]
local y_6422 = a_1872[1]["length"]
tmp15 = x_6421 <= y_6422
else
tmp15 = false
end
if tmp15 then
local x_6425 = a_1872[1]["start"]
local y_6426 = a_1872[2]
local tmp16 = __Int_add(x_6425, y_6426)
local x_6429 = a_1872[1]["length"]
local y_6430 = a_1872[2]
local tmp17 = __Int_sub(x_6429, y_6430)
return {["base"] = base_1876, ["start"] = tmp16, ["length"] = tmp17}
else
_raise(_Subscript, "vector-slice.sml:33:55")
end
elseif a_1872[3].tag == "SOME" then
local base_1881 = a_1872[1]["base"]
local n_1877 = a_1872[3].payload
local tmp_10169 = 0
local y_6434 = a_1872[2]
local tmp18
if tmp_10169 <= y_6434 then
local tmp_10170 = 0
tmp18 = tmp_10170 <= n_1877
else
tmp18 = false
end
local tmp19
if tmp18 then
local tmp_10171
do
local x_6445 = a_1872[2]
tmp_10171 = __Int_add(x_6445, n_1877)
end
local y_6442 = a_1872[1]["length"]
tmp19 = tmp_10171 <= y_6442
else
tmp19 = false
end
if tmp19 then
local x_6449 = a_1872[1]["start"]
local y_6450 = a_1872[2]
local tmp20 = __Int_add(x_6449, y_6450)
return {["base"] = base_1881, ["start"] = tmp20, ["length"] = n_1877}
else
_raise(_Subscript, "vector-slice.sml:37:57")
end
else
_raise(_Match, "vector-slice.sml:30:5")
end
end
local exists_1888 = function(a_1889)
return function(a_1890)
local start_1892 = a_1890["start"]
local loop_1895
loop_1895 = function(a_1896)
local y_6466 = a_1890["length"]
if a_1896 >= y_6466 then
return false
else
local tmp_10173
do
local x_6477 = a_1890["start"]
tmp_10173 = __Int_add(x_6477, a_1896)
end
local vec_6473 = a_1890["base"]
local tmp21 = a_1889(vec_6473[tmp_10173 + 1])
if tmp21 then
return true
else
local tmp_10174 = 1
local tmp22 = __Int_add(a_1896, tmp_10174)
return loop_1895(tmp22)
end
end
end
return loop_1895(start_1892)
end
end
local vector_1905 = function(a_6483)
local length_6487 = a_6483["length"]
return _VectorOrArray_tabulate({length_6487, function(i_6488)
local tmp_10175
do
local x_6492 = a_6483["start"]
tmp_10175 = __Int_add(x_6492, i_6488)
end
local vec_6495 = a_6483["base"]
return vec_6495[tmp_10175 + 1]
end})
end
local subslice_1904 = subslice_1871
local length_1901 = function(tmp_6497)
return tmp_6497["length"]
end
local full_1900 = function(a_6498)
return {["base"] = a_6498, ["start"] = 0, ["length"] = a_6498.n}
end
VectorSlice_1908 = {["exists"] = exists_1888, ["full"] = full_1900, ["length"] = length_1901, ["slice"] = slice_1864, ["sub"] = sub_1855, ["subslice"] = subslice_1904, ["vector"] = vector_1905}
end
local ArraySlice_1996
do
local sub_1922 = function(a_1923)
local tmp_10176 = 0
local y_6507 = a_1923[2]
local tmp23
if tmp_10176 <= y_6507 then
local x_6510 = a_1923[2]
local y_6511 = a_1923[1]["length"]
tmp23 = x_6510 < y_6511
else
tmp23 = false
end
if tmp23 then
local tmp_10177
do
local x_6522 = a_1923[1]["start"]
local y_6523 = a_1923[2]
tmp_10177 = __Int_add(x_6522, y_6523)
end
local arr_6518 = a_1923[1]["base"]
return arr_6518[tmp_10177 + 1]
else
_raise(_Subscript, "array-slice.sml:22:44")
end
end
local update_1928 = function(a_1929)
local base_1934 = a_1929[1]["base"]
local tmp_10178 = 0
local y_6527 = a_1929[2]
local tmp24
if tmp_10178 <= y_6527 then
local x_6530 = a_1929[2]
local y_6531 = a_1929[1]["length"]
tmp24 = x_6530 < y_6531
else
tmp24 = false
end
if tmp24 then
local a_6537, tmp_10179
do
local x_6544 = a_1929[1]["start"]
local y_6545 = a_1929[2]
tmp_10179 = __Int_add(x_6544, y_6545)
a_6537 = {base_1934, tmp_10179}
end
local arr_6539 = a_1929[1]["base"]
local v_6541 = a_6537[3]
arr_6539[tmp_10179 + 1] = v_6541
return nil
else
_raise(_Subscript, "array-slice.sml:26:50")
end
end
local slice_1938 = function(a_1939)
if a_1939[3].tag == "NONE" then
local a_1941 = a_1939[1]
local i_1940 = a_1939[2]
local tmp_10180 = 0
local y_6555 = a_1939[2]
local tmp25
if tmp_10180 <= y_6555 then
local tmp_10181
do
local a_6563 = a_1941
tmp_10181 = a_6563.n
end
local x_6558 = a_1939[2]
tmp25 = x_6558 <= tmp_10181
else
tmp25 = false
end
if tmp25 then
local tmp_10182
do
local a_6573 = a_1941
tmp_10182 = a_6573.n
end
local y_6569 = a_1939[2]
local tmp26 = __Int_sub(tmp_10182, y_6569)
return {["base"] = a_1941, ["start"] = i_1940, ["length"] = tmp26}
else
_raise(_Subscript, "array-slice.sml:31:30")
end
elseif a_1939[3].tag == "SOME" then
local a_1944 = a_1939[1]
local i_1943 = a_1939[2]
local n_1942 = a_1939[3].payload
local tmp_10183 = 0
local y_6579 = a_1939[2]
local tmp27
if tmp_10183 <= y_6579 then
local tmp_10184 = 0
tmp27 = tmp_10184 <= n_1942
else
tmp27 = false
end
local tmp28
if tmp27 then
local tmp_10185, tmp_10186
do
local x_6590 = a_1939[2]
tmp_10186 = __Int_add(x_6590, n_1942)
local a_6595 = a_1944
tmp_10185 = a_6595.n
end
tmp28 = tmp_10186 <= tmp_10185
else
tmp28 = false
end
if tmp28 then
return {["base"] = a_1944, ["start"] = i_1943, ["length"] = n_1942}
else
_raise(_Subscript, "array-slice.sml:35:32")
end
else
_raise(_Match, "array-slice.sml:28:5")
end
end
local subslice_1945 = function(a_1946)
if a_1946[3].tag == "NONE" then
local base_1950 = a_1946[1]["base"]
local tmp_10187 = 0
local y_6601 = a_1946[2]
local tmp29
if tmp_10187 <= y_6601 then
local x_6604 = a_1946[2]
local y_6605 = a_1946[1]["length"]
tmp29 = x_6604 <= y_6605
else
tmp29 = false
end
if tmp29 then
local x_6608 = a_1946[1]["start"]
local y_6609 = a_1946[2]
local tmp30 = __Int_add(x_6608, y_6609)
local x_6612 = a_1946[1]["length"]
local y_6613 = a_1946[2]
local tmp31 = __Int_sub(x_6612, y_6613)
return {["base"] = base_1950, ["start"] = tmp30, ["length"] = tmp31}
else
_raise(_Subscript, "array-slice.sml:39:55")
end
elseif a_1946[3].tag == "SOME" then
local base_1955 = a_1946[1]["base"]
local n_1951 = a_1946[3].payload
local tmp_10188 = 0
local y_6617 = a_1946[2]
local tmp32
if tmp_10188 <= y_6617 then
local tmp_10189 = 0
tmp32 = tmp_10189 <= n_1951
else
tmp32 = false
end
local tmp33
if tmp32 then
local tmp_10190
do
local x_6628 = a_1946[2]
tmp_10190 = __Int_add(x_6628, n_1951)
end
local y_6625 = a_1946[1]["length"]
tmp33 = tmp_10190 <= y_6625
else
tmp33 = false
end
if tmp33 then
local x_6632 = a_1946[1]["start"]
local y_6633 = a_1946[2]
local tmp34 = __Int_add(x_6632, y_6633)
return {["base"] = base_1955, ["start"] = tmp34, ["length"] = n_1951}
else
_raise(_Subscript, "array-slice.sml:43:57")
end
else
_raise(_Match, "array-slice.sml:36:5")
end
end
local copy_1962 = function(a_1963)
local dst_1965 = a_1963["dst"]
local forward_1969
forward_1969 = function(a_1970)
local y_6649 = a_1963["src"]["length"]
if a_1970 >= y_6649 then
return nil
else
local x_6652 = a_1963["di"]
local tmp35 = __Int_add(x_6652, a_1970)
local tmp_10192
do
local x_6664 = a_1963["src"]["start"]
tmp_10192 = __Int_add(x_6664, a_1970)
end
local arr_6660 = a_1963["src"]["base"]
local tmp36 = arr_6660[tmp_10192 + 1]
update_1595({dst_1965, tmp35, tmp36})
local tmp_10193 = 1
local tmp37 = __Int_add(a_1970, tmp_10193)
return forward_1969(tmp37)
end
end
local backward_1972
backward_1972 = function(a_1973)
local tmp_10194 = 0
if a_1973 < tmp_10194 then
return nil
else
local x_6676 = a_1963["di"]
local tmp38 = __Int_add(x_6676, a_1973)
local tmp_10195
do
local x_6688 = a_1963["src"]["start"]
tmp_10195 = __Int_add(x_6688, a_1973)
end
local arr_6684 = a_1963["src"]["base"]
local tmp39 = arr_6684[tmp_10195 + 1]
update_1595({dst_1965, tmp38, tmp39})
local tmp_10196 = 1
local tmp40 = __Int_sub(a_1973, tmp_10196)
return backward_1972(tmp40)
end
end
local x_6696 = a_1963["src"]["start"]
local y_6697 = a_1963["di"]
if x_6696 >= y_6697 then
return forward_1969(0)
else
local tmp_10197 = 1
local x_6700 = a_1963["src"]["length"]
local tmp41 = __Int_sub(x_6700, tmp_10197)
return backward_1972(tmp41)
end
end
local copyVec_1975 = function(a_1976)
local slice_1979 = a_1976["src"]
local dst_1978 = a_1976["dst"]
local length_1980 = VectorSlice_1908["length"](slice_1979)
local loop_1981
loop_1981 = function(a_1982)
if a_1982 >= length_1980 then
return nil
else
local x_6708 = a_1976["di"]
local tmp42 = __Int_add(x_6708, a_1982)
local tmp43 = VectorSlice_1908["sub"]({slice_1979, a_1982})
update_1595({dst_1978, tmp42, tmp43})
local tmp_10198 = 1
local tmp44 = __Int_add(a_1982, tmp_10198)
return loop_1981(tmp44)
end
end
return loop_1981(0)
end
local vector_1993 = function(a_6714)
local length_6718 = a_6714["length"]
return _VectorOrArray_tabulate({length_6718, function(i_6719)
local tmp_10199
do
local x_6723 = a_6714["start"]
tmp_10199 = __Int_add(x_6723, i_6719)
end
local arr_6726 = a_6714["base"]
return arr_6726[tmp_10199 + 1]
end})
end
local update_1992 = update_1928
local subslice_1991 = subslice_1945
local length_1988 = function(tmp_6728)
return tmp_6728["length"]
end
local full_1987 = function(a_6729)
return {["base"] = a_6729, ["start"] = 0, ["length"] = a_6729.n}
end
ArraySlice_1996 = {["copy"] = copy_1962, ["copyVec"] = copyVec_1975, ["full"] = full_1987, ["length"] = length_1988, ["slice"] = slice_1938, ["sub"] = sub_1922, ["subslice"] = subslice_1991, ["update"] = update_1992, ["vector"] = vector_1993}
end
local tmp45 = (function(a_7686)
local x_7688 = a_7686[1]
local y_7689 = a_7686[2]
local a_7690 = x_7688 == y_7689
return not a_7690
end)({wordSize_1007, 64})
if tmp45 then
local tmp46 = _Fail("Word64 is not available")
_raise(tmp46, "word64.sml:32:14")
end
local IntInf_2903, eq_2902
do
local ZERO_2339 = { tag = "ZERO" }
local function POSITIVE_2338(x)
return { tag = "POSITIVE", payload = x }
end
local function NEGATIVE_2337(x)
return { tag = "NEGATIVE", payload = x }
end
local EQUALint_2895 = function(p_2896)
local tmp47
if p_2896[1].tag == "ZERO" then
tmp47 = p_2896[2].tag == "ZERO"
else
tmp47 = false
end
if tmp47 then
return true
else
local tmp48
if p_2896[1].tag == "POSITIVE" then
tmp48 = p_2896[2].tag == "POSITIVE"
else
tmp48 = false
end
if tmp48 then
local a_2899 = p_2896[1].payload
local b_2900 = p_2896[2].payload
local tmp49 = _Vector_EQUAL(_EQUAL)
return tmp49({a_2899, b_2900})
else
local tmp50
if p_2896[1].tag == "NEGATIVE" then
tmp50 = p_2896[2].tag == "NEGATIVE"
else
tmp50 = false
end
if tmp50 then
local a_2897 = p_2896[1].payload
local b_2898 = p_2896[2].payload
local tmp51 = _Vector_EQUAL(_EQUAL)
return tmp51({a_2897, b_2898})
else
return false
end
end
end
end
local toInt_2340 = function(a_2341)
if a_2341.tag == "ZERO" then
return 0
elseif a_2341.tag == "POSITIVE" then
local words_2342 = a_2341.payload
local tmp_10368, tmp_10369
do
tmp_10369 = words_2342.n
tmp_10368 = 1
end
if tmp_10369 > tmp_10368 then
_raise(_Overflow, "int-inf.sml:66:34")
else
local x_7716
do
local tmp_10370 = 0
x_7716 = words_2342[tmp_10370 + 1]
end
local a_7717
do
local x_7720 = x_7716
local tmp_10372 = x_7720
local a_7721 = 0x0
local x_7723 = a_7721
local tmp_10371 = x_7723
a_7717 = {tmp_10372, tmp_10371}
end
local x_7725 = a_7717[1]
local y_7726 = a_7717[2]
local tmp52 = x_7725 < y_7726
if tmp52 then
_raise(_Overflow, "mlbasis.sml:680:39")
else
local a_7727
do
local x_7730 = x_7716
a_7727 = x_7730
end
local x_7732 = a_7727
return x_7732
end
end
elseif a_2341.tag == "NEGATIVE" then
local words_2343 = a_2341.payload
local tmp_10373, tmp_10374
do
tmp_10374 = words_2343.n
tmp_10373 = 1
end
if tmp_10374 > tmp_10373 then
_raise(_Overflow, "int-inf.sml:70:34")
else
local w_2344
do
local tmp_10375 = 0
w_2344 = words_2343[tmp_10375 + 1]
end
local tmp_10388, tmp_10389
do
local tmp_10381, tmp_10382
do
tmp_10382 = 2
local x_7767
do
local tmp_10376 = 0x1
local a_7788
do
local a_7789
do
local x_7792 = w_2344
local tmp_10378 = x_7792
local x_7795 = tmp_10376
local tmp_10377 = x_7795
a_7789 = {tmp_10378, tmp_10377}
end
local x_7797 = a_7789[1]
local y_7798 = a_7789[2]
a_7788 = x_7797 >> y_7798
end
local x_7800 = a_7788
x_7767 = x_7800
end
local a_7768
do
local x_7771 = x_7767
local tmp_10380 = x_7771
local a_7772 = 0x0
local x_7774 = a_7772
local tmp_10379 = x_7774
a_7768 = {tmp_10380, tmp_10379}
end
local x_7776 = a_7768[1]
local y_7777 = a_7768[2]
local tmp53 = x_7776 < y_7777
local tmp54
if tmp53 then
_raise(_Overflow, "mlbasis.sml:680:39")
else
local a_7778
do
local x_7781 = x_7767
a_7778 = x_7781
end
local x_7783 = a_7778
tmp54 = x_7783
end
tmp_10381 = _Int_negate(tmp54)
end
tmp_10389 = __Int_mul(tmp_10382, tmp_10381)
local x_7801
do
local tmp_10383 = 0x1
local a_7822
do
local a_7823
do
local x_7826 = w_2344
local tmp_10385 = x_7826
local x_7829 = tmp_10383
local tmp_10384 = x_7829
a_7823 = {tmp_10385, tmp_10384}
end
local x_7831 = a_7823[1]
local y_7832 = a_7823[2]
a_7822 = x_7831 & y_7832
end
local x_7834 = a_7822
x_7801 = x_7834
end
local a_7802
do
local x_7805 = x_7801
local tmp_10387 = x_7805
local a_7806 = 0x0
local x_7808 = a_7806
local tmp_10386 = x_7808
a_7802 = {tmp_10387, tmp_10386}
end
local x_7810 = a_7802[1]
local y_7811 = a_7802[2]
local tmp55 = x_7810 < y_7811
if tmp55 then
_raise(_Overflow, "mlbasis.sml:680:39")
else
local a_7812
do
local x_7815 = x_7801
a_7812 = x_7815
end
local x_7817 = a_7812
tmp_10388 = x_7817
end
end
return __Int_sub(tmp_10389, tmp_10388)
end
else
_raise(_Match, "int-inf.sml:64:5")
end
end
local fromInt_2345 = function(a_2346)
if a_2346 == 0 then
return ZERO_2339
else
local tmp_10390 = 0
if a_2346 > tmp_10390 then
local a_7840
do
local x_7843 = a_2346
a_7840 = x_7843
end
local x_7845 = a_7840
return POSITIVE_2338({ n = 1, x_7845 })
elseif minInt_946.tag == "SOME" then
local minInt_2348 = minInt_946.payload
local tmp56 = (function(a_7855)
local x_7857 = a_7855[1]
local y_7858 = a_7855[2]
local a_7859 = x_7857 == y_7858
return not a_7859
end)({a_2346, minInt_2348})
if tmp56 then
local x_7862 = _Int_abs(a_2346)
local a_7863
do
local x_7866 = x_7862
a_7863 = x_7866
end
local x_7868 = a_7863
return NEGATIVE_2337({ n = 1, x_7868 })
else
local a_7869
do
local tmp_10391 = 1
local tmp57 = __Int_add(a_2346, tmp_10391)
local x_7873 = _Int_abs(tmp57)
local a_7874
do
local x_7877 = x_7873
a_7874 = x_7877
end
local x_7879 = a_7874
local tmp_10393 = x_7879
local tmp_10392 = 0x1
a_7869 = {tmp_10393, tmp_10392}
end
local x_7871 = a_7869[1]
local y_7872 = a_7869[2]
return NEGATIVE_2337({ n = 1, x_7871 + y_7872 })
end
elseif minInt_946.tag == "NONE" then
local x_7884 = _Int_abs(a_2346)
local a_7885
do
local x_7888 = x_7884
a_7885 = x_7888
end
local x_7890 = a_7885
return NEGATIVE_2337({ n = 1, x_7890 })
else
_raise(_Match, "int-inf.sml:80:21")
end
end
end
local precision_2349 = NONE_386
local minInt_2351 = NONE_386
local maxInt_2353 = NONE_386
local add3_2360 = function(a_2361)
local hi1_2365, lo1_2366
do
local exp_3330
do
local z_7903
do
local x_7906 = a_2361[1]
local y_7907 = a_2361[2]
z_7903 = x_7906 + y_7907
end
local y_7911 = a_2361[1]
local tmp58 = __Word_LT(z_7903, y_7911)
if tmp58 then
exp_3330 = {["lo"] = z_7903, ["hi"] = 0x1}
else
exp_3330 = {["lo"] = z_7903, ["hi"] = 0x0}
end
end
local lo1_2368 = exp_3330["lo"]
local hi1_2367 = exp_3330["hi"]
hi1_2365, lo1_2366 = table_unpack({hi1_2367, lo1_2368}, 1, 2)
end
local hi2_2369, lo2_2370
do
local exp_3331
do
local z_7916
do
local y_7920 = a_2361[3]
z_7916 = lo1_2366 + y_7920
end
local tmp59 = __Word_LT(z_7916, lo1_2366)
if tmp59 then
exp_3331 = {["lo"] = z_7916, ["hi"] = 0x1}
else
exp_3331 = {["lo"] = z_7916, ["hi"] = 0x0}
end
end
local lo2_2372 = exp_3331["lo"]
local hi2_2371 = exp_3331["hi"]
hi2_2369, lo2_2370 = table_unpack({hi2_2371, lo2_2372}, 1, 2)
end
return {["lo"] = lo2_2370, ["hi"] = hi1_2365 + hi2_2369}
end
local wordSize__2_2373
do
local a_7929
do
local a_7934
do
local x_7937 = wordSize_1007
a_7934 = x_7937
end
local x_7939 = a_7934
local tmp_10395 = x_7939
local tmp_10394 = 0x2
a_7929 = {tmp_10395, tmp_10394}
end
local x_7931 = a_7929[1]
local y_7932 = a_7929[2]
wordSize__2_2373 = __Word_div(x_7931, y_7932)
end
local word__lo__mask_2374
do
local a_7940
do
local tmp_10396 = 0x1
local a_7948
do
local a_7949
do
local x_7952 = tmp_10396
local tmp_10398 = x_7952
local x_7955 = wordSize__2_2373
local tmp_10397 = x_7955
a_7949 = {tmp_10398, tmp_10397}
end
local x_7957 = a_7949[1]
local y_7958 = a_7949[2]
a_7948 = x_7957 << y_7958
end
local x_7960 = a_7948
local tmp_10400 = x_7960
local tmp_10399 = 0x1
a_7940 = {tmp_10400, tmp_10399}
end
local x_7942 = a_7940[1]
local y_7943 = a_7940[2]
word__lo__mask_2374 = x_7942 - y_7943
end
local mul2_2375 = function(a_2376)
if a_2376[1] == 0x0 then
return {["lo"] = 0x0, ["hi"] = 0x0}
elseif a_2376[2] == 0x0 then
return {["lo"] = 0x0, ["hi"] = 0x0}
else
local x__hi_2379
do
local x_7963 = a_2376[1]
local a_7965
do
local a_7966
do
local a_7967 = x_7963
local x_7969 = a_7967
local tmp_10402 = x_7969
local x_7972 = wordSize__2_2373
local tmp_10401 = x_7972
a_7966 = {tmp_10402, tmp_10401}
end
local x_7974 = a_7966[1]
local y_7975 = a_7966[2]
a_7965 = x_7974 >> y_7975
end
local x_7977 = a_7965
x__hi_2379 = x_7977
end
local x__lo_2380
do
local x_7980 = a_2376[1]
local a_7982
do
local a_7983
do
local a_7984 = x_7980
local x_7986 = a_7984
local tmp_10404 = x_7986
local x_7989 = word__lo__mask_2374
local tmp_10403 = x_7989
a_7983 = {tmp_10404, tmp_10403}
end
local x_7991 = a_7983[1]
local y_7992 = a_7983[2]
a_7982 = x_7991 & y_7992
end
local x_7994 = a_7982
x__lo_2380 = x_7994
end
local y__hi_2381
do
local x_7997 = a_2376[2]
local a_7999
do
local a_8000
do
local a_8001 = x_7997
local x_8003 = a_8001
local tmp_10406 = x_8003
local x_8006 = wordSize__2_2373
local tmp_10405 = x_8006
a_8000 = {tmp_10406, tmp_10405}
end
local x_8008 = a_8000[1]
local y_8009 = a_8000[2]
a_7999 = x_8008 >> y_8009
end
local x_8011 = a_7999
y__hi_2381 = x_8011
end
local y__lo_2382
do
local x_8014 = a_2376[2]
local a_8016
do
local a_8017
do
local a_8018 = x_8014
local x_8020 = a_8018
local tmp_10408 = x_8020
local x_8023 = word__lo__mask_2374
local tmp_10407 = x_8023
a_8017 = {tmp_10408, tmp_10407}
end
local x_8025 = a_8017[1]
local y_8026 = a_8017[2]
a_8016 = x_8025 & y_8026
end
local x_8028 = a_8016
y__lo_2382 = x_8028
end
local lo1_2383 = x__lo_2380 * y__lo_2382
local mid1_2384 = x__hi_2379 * y__lo_2382
local lo2_2385
do
local a_8041
do
local a_8042
do
local x_8045 = mid1_2384
local tmp_10410 = x_8045
local x_8048 = wordSize__2_2373
local tmp_10409 = x_8048
a_8042 = {tmp_10410, tmp_10409}
end
local x_8050 = a_8042[1]
local y_8051 = a_8042[2]
a_8041 = x_8050 << y_8051
end
local x_8053 = a_8041
lo2_2385 = x_8053
end
local hi1_2386
do
local a_8058
do
local a_8059
do
local x_8062 = mid1_2384
local tmp_10412 = x_8062
local x_8065 = wordSize__2_2373
local tmp_10411 = x_8065
a_8059 = {tmp_10412, tmp_10411}
end
local x_8067 = a_8059[1]
local y_8068 = a_8059[2]
a_8058 = x_8067 >> y_8068
end
local x_8070 = a_8058
hi1_2386 = x_8070
end
local mid2_2387 = x__lo_2380 * y__hi_2381
local lo3_2388
do
local a_8079
do
local a_8080
do
local x_8083 = mid2_2387
local tmp_10414 = x_8083
local x_8086 = wordSize__2_2373
local tmp_10413 = x_8086
a_8080 = {tmp_10414, tmp_10413}
end
local x_8088 = a_8080[1]
local y_8089 = a_8080[2]
a_8079 = x_8088 << y_8089
end
local x_8091 = a_8079
lo3_2388 = x_8091
end
local hi2_2389
do
local a_8096
do
local a_8097
do
local x_8100 = mid2_2387
local tmp_10416 = x_8100
local x_8103 = wordSize__2_2373
local tmp_10415 = x_8103
a_8097 = {tmp_10416, tmp_10415}
end
local x_8105 = a_8097[1]
local y_8106 = a_8097[2]
a_8096 = x_8105 >> y_8106
end
local x_8108 = a_8096
hi2_2389 = x_8108
end
local hi3_2390 = x__hi_2379 * y__hi_2381
local hi4_2391, lo_2392
do
local exp_3333 = add3_2360({lo1_2383, lo2_2385, lo3_2388})
local lo_2394 = exp_3333["lo"]
local hi4_2393 = exp_3333["hi"]
hi4_2391, lo_2392 = table_unpack({hi4_2393, lo_2394}, 1, 2)
end
local hi_2395
do
local tmp_10418
do
local tmp_10417 = hi1_2386 + hi2_2389
tmp_10418 = tmp_10417 + hi3_2390
end
hi_2395 = tmp_10418 + hi4_2391
end
return {["lo"] = lo_2392, ["hi"] = hi_2395}
end
end
local compareAbs_2396 = function(a_2397)
local words_2399 = a_2397[1]
local words_PRIME_2398 = a_2397[2]
local m_2400
do
local a_8128 = words_2399
m_2400 = a_8128.n
end
local n_2401
do
local a_8134 = words_PRIME_2398
n_2401 = a_8134.n
end
local exp_3335
if m_2400 == n_2401 then
exp_3335 = EQUAL_892
elseif m_2400 < n_2401 then
exp_3335 = LESS_893
else
exp_3335 = GREATER_891
end
if exp_3335.tag == "EQUAL" then
local loop_2402
loop_2402 = function(a_2403)
local tmp_10419 = 0
if a_2403 < tmp_10419 then
return EQUAL_892
else
local w_2405
do
local vec_8155 = a_2397[1]
w_2405 = vec_8155[a_2403 + 1]
end
local w_PRIME_2406
do
local vec_8163 = a_2397[2]
w_PRIME_2406 = vec_8163[a_2403 + 1]
end
local exp_3337
if w_2405 == w_PRIME_2406 then
exp_3337 = EQUAL_892
else
local tmp60 = __Word_LT(w_2405, w_PRIME_2406)
if tmp60 then
exp_3337 = LESS_893
else
exp_3337 = GREATER_891
end
end
if exp_3337.tag == "EQUAL" then
local tmp_10420 = 1
local tmp61 = __Int_sub(a_2403, tmp_10420)
return loop_2402(tmp61)
else
return exp_3337
end
end
end
local tmp_10421 = 1
local tmp62 = __Int_sub(m_2400, tmp_10421)
return loop_2402(tmp62)
else
return exp_3335
end
end
local normalize_2409 = function(a_2410)
local length_2412
do
local loop_2413
loop_2413 = function(a_2414)
local i_PRIME_2416
do
local tmp_10422 = 1
i_PRIME_2416 = __Int_sub(a_2414, tmp_10422)
end
local tmp_10423 = 0
local tmp63
if i_PRIME_2416 < tmp_10423 then
tmp63 = true
else
local tmp64 = a_2410[i_PRIME_2416 + 1]
tmp63 = (function(a_8198)
local x_8200 = a_8198[1]
local y_8201 = a_8198[2]
local a_8202 = x_8200 == y_8201
return not a_8202
end)({tmp64, 0x0})
end
if tmp63 then
return a_2414
else
return loop_2413(i_PRIME_2416)
end
end
length_2412 = loop_2413(a_2410.n)
end
local tmp65 = SOME_385(length_2412)
local tmp66 = ArraySlice_1996["slice"]({a_2410, 0, tmp65})
return ArraySlice_1996["vector"](tmp66)
end
local addAbs_2417 = function(a_2418)
local words_2420 = a_2418[1]
local words_PRIME_2419 = a_2418[2]
local m_2421
do
local a_8222 = words_2420
m_2421 = a_8222.n
end
local n_2422
do
local a_8228 = words_PRIME_2419
n_2422 = a_8228.n
end
local l_2423
do
local tmp_10424, tmp_10425
do
if m_2421 < n_2422 then
tmp_10425 = n_2422
else
tmp_10425 = m_2421
end
tmp_10424 = 1
end
l_2423 = __Int_add(tmp_10425, tmp_10424)
end
local arr_2424 = _Array_array({l_2423, 0x0})
local loop_2425
loop_2425 = function(a_2426)
local carry_2428 = a_2426[1]
local i_2427 = a_2426[2]
if i_2427 == l_2423 then
return nil
else
local x_8245 = a_2426[2]
local w_2429
if x_8245 < m_2421 then
local vec_8253 = a_2418[1]
local i_8254 = a_2426[2]
w_2429 = vec_8253[i_8254 + 1]
else
w_2429 = 0x0
end
local x_8257 = a_2426[2]
local w_PRIME_2430
if x_8257 < n_2422 then
local vec_8265 = a_2418[2]
local i_8266 = a_2426[2]
w_PRIME_2430 = vec_8265[i_8266 + 1]
else
w_PRIME_2430 = 0x0
end
local carry_2431, x_2432
do
local exp_3342 = add3_2360({w_2429, w_PRIME_2430, carry_2428})
local x_2434 = exp_3342["lo"]
local carry_2433 = exp_3342["hi"]
carry_2431, x_2432 = table_unpack({carry_2433, x_2434}, 1, 2)
end
local i_8275 = a_2426[2]
arr_2424[i_8275 + 1] = x_2432
local tmp_10426 = 1
local x_8279 = a_2426[2]
local tmp67 = __Int_add(x_8279, tmp_10426)
return loop_2425({carry_2431, tmp67})
end
end
loop_2425({0x0, 0})
return normalize_2409(arr_2424)
end
local subAbs_2435 = function(a_2436)
local words_2438 = a_2436[1]
local words_PRIME_2437 = a_2436[2]
local m_2439
do
local a_8284 = words_2438
m_2439 = a_8284.n
end
local n_2440
do
local a_8290 = words_PRIME_2437
n_2440 = a_8290.n
end
local arr_2441 = _Array_array({m_2439, 0x0})
local loop_2442
loop_2442 = function(a_2443)
local carry_2445 = a_2443[1]
local i_2444 = a_2443[2]
if i_2444 == m_2439 then
if carry_2445 == 0x0 then
return nil
else
local tmp68 = _Fail("subAbs: carry not zero")
_raise(tmp68, "int-inf.sml:188:77")
end
else
local w_2446
do
local vec_8299 = a_2436[1]
local i_8300 = a_2443[2]
w_2446 = vec_8299[i_8300 + 1]
end
local x_8303 = a_2443[2]
local w_PRIME_2447
if x_8303 < n_2440 then
local vec_8311 = a_2436[2]
local i_8312 = a_2443[2]
w_PRIME_2447 = vec_8311[i_8312 + 1]
else
w_PRIME_2447 = 0x0
end
local carry_2448, lo_2449
do
local tmp69 = __Word_LT(w_2446, w_PRIME_2447)
local exp_3345
if tmp69 then
local tmp_10427 = w_2446 - w_PRIME_2447
local y_8320 = a_2443[1]
exp_3345 = {["lo"] = tmp_10427 - y_8320, ["hi"] = 0x1}
else
local tmp70 = __Word_LT(w_PRIME_2447, w_2446)
if tmp70 then
local tmp_10428 = w_2446 - w_PRIME_2447
local y_8336 = a_2443[1]
exp_3345 = {["lo"] = tmp_10428 - y_8336, ["hi"] = 0x0}
elseif carry_2445 == 0x0 then
exp_3345 = {["lo"] = 0x0, ["hi"] = 0x0}
else
local a_8341 = carry_2445
exp_3345 = {["lo"] = - a_8341, ["hi"] = 0x1}
end
end
local lo_2451 = exp_3345["lo"]
local carry_2450 = exp_3345["hi"]
carry_2448, lo_2449 = table_unpack({carry_2450, lo_2451}, 1, 2)
end
local i_8352 = a_2443[2]
arr_2441[i_8352 + 1] = lo_2449
local tmp_10429 = 1
local x_8356 = a_2443[2]
local tmp71 = __Int_add(x_8356, tmp_10429)
return loop_2442({carry_2448, tmp71})
end
end
loop_2442({0x0, 0})
return normalize_2409(arr_2441)
end
local mulAbs_2452 = function(a_2453)
local words_2455 = a_2453[1]
local words_PRIME_2454 = a_2453[2]
local m_2456
do
local a_8361 = words_2455
m_2456 = a_8361.n
end
local n_2457
do
local a_8367 = words_PRIME_2454
n_2457 = a_8367.n
end
local m__n_2458 = __Int_add(m_2456, n_2457)
local arr_2459 = _Array_array({m__n_2458, 0x0})
local outer_2460
outer_2460 = function(a_2461)
if a_2461 >= n_2457 then
return nil
else
local v_2463
do
local vec_8384 = a_2453[2]
v_2463 = vec_8384[a_2461 + 1]
end
local inner_2464
inner_2464 = function(a_2465)
local k_2466 = a_2465[2]
local x_8388 = a_2465[1]
if x_8388 >= m_2456 then
local tmp_10430
do
local x_8402 = a_2465[1]
tmp_10430 = __Int_add(x_8402, a_2461)
end
local v_8399 = a_2465[2]
arr_2459[tmp_10430 + 1] = v_8399
return nil
else
local u_2468
do
local vec_8410 = a_2453[1]
local i_8411 = a_2465[1]
u_2468 = vec_8410[i_8411 + 1]
end
local hi_2469, lo_2470
do
local exp_3349 = mul2_2375({u_2468, v_2463})
local lo_2472 = exp_3349["lo"]
local hi_2471 = exp_3349["hi"]
hi_2469, lo_2470 = table_unpack({hi_2471, lo_2472}, 1, 2)
end
local hi_PRIME_2473, lo_2474
do
local tmp_10431
do
local x_8422 = a_2465[1]
tmp_10431 = __Int_add(x_8422, a_2461)
end
local tmp72 = arr_2459[tmp_10431 + 1]
local exp_3350 = add3_2360({lo_2470, tmp72, k_2466})
local lo_2476 = exp_3350["lo"]
local hi_PRIME_2475 = exp_3350["hi"]
hi_PRIME_2473, lo_2474 = table_unpack({hi_PRIME_2475, lo_2476}, 1, 2)
end
local tmp_10432
do
local x_8436 = a_2465[1]
tmp_10432 = __Int_add(x_8436, a_2461)
end
arr_2459[tmp_10432 + 1] = lo_2474
local tmp_10433 = 1
local x_8440 = a_2465[1]
local tmp73 = __Int_add(x_8440, tmp_10433)
return inner_2464({tmp73, hi_2469 + hi_PRIME_2473})
end
end
inner_2464({0, 0x0})
local tmp_10434 = 1
local tmp74 = __Int_add(a_2461, tmp_10434)
return outer_2460(tmp74)
end
end
outer_2460(0)
return normalize_2409(arr_2459)
end
local mulAbsSingle_2477 = function(a_2478)
if a_2478[2] == 0x0 then
return { n = 0 }
else
local words_2481 = a_2478[1]
local v_2480 = a_2478[2]
local m_2482
do
local a_8453 = words_2481
m_2482 = a_8453.n
end
local tmp_10435 = 1
local tmp75 = __Int_add(m_2482, tmp_10435)
local arr_2483 = _Array_array({tmp75, 0x0})
local loop_2484
loop_2484 = function(a_2485)
local x_8462 = a_2485[1]
if x_8462 >= m_2482 then
local i_8472 = a_2485[1]
local v_8473 = a_2485[2]
arr_2483[i_8472 + 1] = v_8473
return nil
else
local u_2488
do
local vec_8480 = a_2478[1]
local i_8481 = a_2485[1]
u_2488 = vec_8480[i_8481 + 1]
end
local hi_2489, lo_2490
do
local exp_3353 = mul2_2375({u_2488, v_2480})
local lo_2492 = exp_3353["lo"]
local hi_2491 = exp_3353["hi"]
hi_2489, lo_2490 = table_unpack({hi_2491, lo_2492}, 1, 2)
end
local hi_PRIME_2493, lo_2494
do
local exp_3354
do
local z_8486
do
local y_8490 = a_2485[2]
z_8486 = lo_2490 + y_8490
end
local tmp76 = __Word_LT(z_8486, lo_2490)
if tmp76 then
exp_3354 = {["lo"] = z_8486, ["hi"] = 0x1}
else
exp_3354 = {["lo"] = z_8486, ["hi"] = 0x0}
end
end
local lo_2496 = exp_3354["lo"]
local hi_PRIME_2495 = exp_3354["hi"]
hi_PRIME_2493, lo_2494 = table_unpack({hi_PRIME_2495, lo_2496}, 1, 2)
end
local i_8503 = a_2485[1]
arr_2483[i_8503 + 1] = lo_2494
local tmp_10436 = 1
local x_8507 = a_2485[1]
local tmp77 = __Int_add(x_8507, tmp_10436)
return loop_2484({tmp77, hi_2489 + hi_PRIME_2493})
end
end
loop_2484({0, 0x0})
return normalize_2409(arr_2483)
end
end
local negate_2497 = function(a_2498)
if a_2498.tag == "POSITIVE" then
local words_2499 = a_2498.payload
return NEGATIVE_2337(words_2499)
elseif a_2498.tag == "NEGATIVE" then
local words_2500 = a_2498.payload
return POSITIVE_2338(words_2500)
else
return a_2498
end
end
local add_2502 = function(a_2503)
if a_2503[1].tag == "ZERO" then
local y_2504 = a_2503[2]
return y_2504
elseif a_2503[2].tag == "ZERO" then
local x_2505 = a_2503[1]
return x_2505
else
local tmp78
if a_2503[1].tag == "POSITIVE" then
tmp78 = a_2503[2].tag == "POSITIVE"
else
tmp78 = false
end
if tmp78 then
local words_2507 = a_2503[1].payload
local words_PRIME_2506 = a_2503[2].payload
local tmp79 = addAbs_2417({words_2507, words_PRIME_2506})
return POSITIVE_2338(tmp79)
else
local tmp80
if a_2503[1].tag == "POSITIVE" then
tmp80 = a_2503[2].tag == "NEGATIVE"
else
tmp80 = false
end
if tmp80 then
local words_2509 = a_2503[1].payload
local words_PRIME_2508 = a_2503[2].payload
local exp_3357 = compareAbs_2396({words_2509, words_PRIME_2508})
if exp_3357.tag == "LESS" then
local tmp81 = subAbs_2435({words_PRIME_2508, words_2509})
return NEGATIVE_2337(tmp81)
elseif exp_3357.tag == "GREATER" then
local tmp82 = subAbs_2435({words_2509, words_PRIME_2508})
return POSITIVE_2338(tmp82)
elseif exp_3357.tag == "EQUAL" then
return ZERO_2339
else
_raise(_Match, "int-inf.sml:259:46")
end
else
local tmp83
if a_2503[1].tag == "NEGATIVE" then
tmp83 = a_2503[2].tag == "POSITIVE"
else
tmp83 = false
end
if tmp83 then
local words_2511 = a_2503[1].payload
local words_PRIME_2510 = a_2503[2].payload
local exp_3358 = compareAbs_2396({words_2511, words_PRIME_2510})
if exp_3358.tag == "LESS" then
local tmp84 = subAbs_2435({words_PRIME_2510, words_2511})
return POSITIVE_2338(tmp84)
elseif exp_3358.tag == "GREATER" then
local tmp85 = subAbs_2435({words_2511, words_PRIME_2510})
return NEGATIVE_2337(tmp85)
elseif exp_3358.tag == "EQUAL" then
return ZERO_2339
else
_raise(_Match, "int-inf.sml:264:46")
end
else
local tmp86
if a_2503[1].tag == "NEGATIVE" then
tmp86 = a_2503[2].tag == "NEGATIVE"
else
tmp86 = false
end
if tmp86 then
local words_2513 = a_2503[1].payload
local words_PRIME_2512 = a_2503[2].payload
local tmp87 = addAbs_2417({words_2513, words_PRIME_2512})
return NEGATIVE_2337(tmp87)
else
_raise(_Match, "int-inf.sml:256:5")
end
end
end
end
end
end
local sub_2514 = function(a_2515)
if a_2515[2].tag == "ZERO" then
local x_2516 = a_2515[1]
return x_2516
else
local tmp88
if a_2515[1].tag == "ZERO" then
tmp88 = a_2515[2].tag == "POSITIVE"
else
tmp88 = false
end
if tmp88 then
local words_2517 = a_2515[2].payload
return NEGATIVE_2337(words_2517)
else
local tmp89
if a_2515[1].tag == "ZERO" then
tmp89 = a_2515[2].tag == "NEGATIVE"
else
tmp89 = false
end
if tmp89 then
local words_2518 = a_2515[2].payload
return POSITIVE_2338(words_2518)
else
local tmp90
if a_2515[1].tag == "POSITIVE" then
tmp90 = a_2515[2].tag == "POSITIVE"
else
tmp90 = false
end
if tmp90 then
local words_2520 = a_2515[1].payload
local words_PRIME_2519 = a_2515[2].payload
local exp_3360 = compareAbs_2396({words_2520, words_PRIME_2519})
if exp_3360.tag == "LESS" then
local tmp91 = subAbs_2435({words_PRIME_2519, words_2520})
return NEGATIVE_2337(tmp91)
elseif exp_3360.tag == "GREATER" then
local tmp92 = subAbs_2435({words_2520, words_PRIME_2519})
return POSITIVE_2338(tmp92)
elseif exp_3360.tag == "EQUAL" then
return ZERO_2339
else
_raise(_Match, "int-inf.sml:274:46")
end
else
local tmp93
if a_2515[1].tag == "POSITIVE" then
tmp93 = a_2515[2].tag == "NEGATIVE"
else
tmp93 = false
end
if tmp93 then
local words_2522 = a_2515[1].payload
local words_PRIME_2521 = a_2515[2].payload
local tmp94 = addAbs_2417({words_2522, words_PRIME_2521})
return POSITIVE_2338(tmp94)
else
local tmp95
if a_2515[1].tag == "NEGATIVE" then
tmp95 = a_2515[2].tag == "POSITIVE"
else
tmp95 = false
end
if tmp95 then
local words_2524 = a_2515[1].payload
local words_PRIME_2523 = a_2515[2].payload
local tmp96 = addAbs_2417({words_2524, words_PRIME_2523})
return NEGATIVE_2337(tmp96)
else
local tmp97
if a_2515[1].tag == "NEGATIVE" then
tmp97 = a_2515[2].tag == "NEGATIVE"
else
tmp97 = false
end
if tmp97 then
local words_2526 = a_2515[1].payload
local words_PRIME_2525 = a_2515[2].payload
local exp_3361 = compareAbs_2396({words_2526, words_PRIME_2525})
if exp_3361.tag == "LESS" then
local tmp98 = subAbs_2435({words_PRIME_2525, words_2526})
return POSITIVE_2338(tmp98)
elseif exp_3361.tag == "GREATER" then
local tmp99 = subAbs_2435({words_2526, words_PRIME_2525})
return NEGATIVE_2337(tmp99)
elseif exp_3361.tag == "EQUAL" then
return ZERO_2339
else
_raise(_Match, "int-inf.sml:281:46")
end
else
_raise(_Match, "int-inf.sml:271:5")
end
end
end
end
end
end
end
end
local mul_2527 = function(a_2528)
if a_2528[1].tag == "ZERO" then
local z_2529 = a_2528[1]
return z_2529
elseif a_2528[2].tag == "ZERO" then
local z_2530 = a_2528[2]
return z_2530
else
local tmp100
if a_2528[1].tag == "POSITIVE" then
tmp100 = a_2528[2].tag == "POSITIVE"
else
tmp100 = false
end
if tmp100 then
local words_2532 = a_2528[1].payload
local words_PRIME_2531 = a_2528[2].payload
local tmp101 = mulAbs_2452({words_2532, words_PRIME_2531})
return POSITIVE_2338(tmp101)
else
local tmp102
if a_2528[1].tag == "POSITIVE" then
tmp102 = a_2528[2].tag == "NEGATIVE"
else
tmp102 = false
end
if tmp102 then
local words_2534 = a_2528[1].payload
local words_PRIME_2533 = a_2528[2].payload
local tmp103 = mulAbs_2452({words_2534, words_PRIME_2533})
return NEGATIVE_2337(tmp103)
else
local tmp104
if a_2528[1].tag == "NEGATIVE" then
tmp104 = a_2528[2].tag == "POSITIVE"
else
tmp104 = false
end
if tmp104 then
local words_2536 = a_2528[1].payload
local words_PRIME_2535 = a_2528[2].payload
local tmp105 = mulAbs_2452({words_2536, words_PRIME_2535})
return NEGATIVE_2337(tmp105)
else
local tmp106
if a_2528[1].tag == "NEGATIVE" then
tmp106 = a_2528[2].tag == "NEGATIVE"
else
tmp106 = false
end
if tmp106 then
local words_2538 = a_2528[1].payload
local words_PRIME_2537 = a_2528[2].payload
local tmp107 = mulAbs_2452({words_2538, words_PRIME_2537})
return POSITIVE_2338(tmp107)
else
_raise(_Match, "int-inf.sml:287:5")
end
end
end
end
end
end
local LT_2539 = function(a_2540)
local tmp108
if a_2540[1].tag == "ZERO" then
tmp108 = a_2540[2].tag == "ZERO"
else
tmp108 = false
end
if tmp108 then
return false
else
local tmp109
if a_2540[1].tag == "ZERO" then
tmp109 = a_2540[2].tag == "POSITIVE"
else
tmp109 = false
end
if tmp109 then
return true
else
local tmp110
if a_2540[1].tag == "ZERO" then
tmp110 = a_2540[2].tag == "NEGATIVE"
else
tmp110 = false
end
if tmp110 then
return false
else
local tmp111
if a_2540[1].tag == "POSITIVE" then
tmp111 = a_2540[2].tag == "POSITIVE"
else
tmp111 = false
end
if tmp111 then
local words_2542 = a_2540[1].payload
local words_PRIME_2541 = a_2540[2].payload
local tmp112 = compareAbs_2396({words_2542, words_PRIME_2541})
return EQUALorder_1820({tmp112, LESS_893})
elseif a_2540[1].tag == "POSITIVE" then
return false
else
local tmp113
if a_2540[1].tag == "NEGATIVE" then
tmp113 = a_2540[2].tag == "NEGATIVE"
else
tmp113 = false
end
if tmp113 then
local words_2544 = a_2540[1].payload
local words_PRIME_2543 = a_2540[2].payload
local tmp114 = compareAbs_2396({words_2544, words_PRIME_2543})
return EQUALorder_1820({tmp114, GREATER_891})
elseif a_2540[1].tag == "NEGATIVE" then
return true
else
_raise(_Match, "int-inf.sml:294:5")
end
end
end
end
end
end
local compare_2545 = function(a_2546)
local tmp115
if a_2546[1].tag == "ZERO" then
tmp115 = a_2546[2].tag == "ZERO"
else
tmp115 = false
end
if tmp115 then
return EQUAL_892
else
local tmp116
if a_2546[1].tag == "ZERO" then
tmp116 = a_2546[2].tag == "POSITIVE"
else
tmp116 = false
end
if tmp116 then
return LESS_893
else
local tmp117
if a_2546[1].tag == "ZERO" then
tmp117 = a_2546[2].tag == "NEGATIVE"
else
tmp117 = false
end
if tmp117 then
return GREATER_891
else
local tmp118
if a_2546[1].tag == "POSITIVE" then
tmp118 = a_2546[2].tag == "POSITIVE"
else
tmp118 = false
end
if tmp118 then
local words_2548 = a_2546[1].payload
local words_PRIME_2547 = a_2546[2].payload
return compareAbs_2396({words_2548, words_PRIME_2547})
elseif a_2546[1].tag == "POSITIVE" then
return GREATER_891
else
local tmp119
if a_2546[1].tag == "NEGATIVE" then
tmp119 = a_2546[2].tag == "NEGATIVE"
else
tmp119 = false
end
if tmp119 then
local words_2550 = a_2546[1].payload
local words_PRIME_2549 = a_2546[2].payload
return compareAbs_2396({words_PRIME_2549, words_2550})
elseif a_2546[1].tag == "NEGATIVE" then
return LESS_893
else
_raise(_Match, "int-inf.sml:302:5")
end
end
end
end
end
end
local LShiftAbs_2551 = function(a_2552)
local words_2554 = a_2552[1]
local amount_2553 = a_2552[2]
local major_2555
do
local a_8513
do
local a_8518
do
local x_8521 = wordSize_1007
a_8518 = x_8521
end
local x_8523 = a_8518
local tmp_10437 = x_8523
a_8513 = {amount_2553, tmp_10437}
end
local x_8515 = a_8513[1]
local y_8516 = a_8513[2]
major_2555 = __Word_div(x_8515, y_8516)
end
local minor_2556
do
local a_8524
do
local a_8529
do
local x_8532 = wordSize_1007
a_8529 = x_8532
end
local x_8534 = a_8529
local tmp_10438 = x_8534
a_8524 = {amount_2553, tmp_10438}
end
local x_8526 = a_8524[1]
local y_8527 = a_8524[2]
minor_2556 = __Word_mod(x_8526, y_8527)
end
local n_2557
do
local tmp_10441, tmp_10442
do
local a_8542 = words_2554
tmp_10442 = a_8542.n
local a_8546
do
local x_8549 = major_2555
local tmp_10440 = x_8549
local a_8550 = 0x0
local x_8552 = a_8550
local tmp_10439 = x_8552
a_8546 = {tmp_10440, tmp_10439}
end
local x_8554 = a_8546[1]
local y_8555 = a_8546[2]
local tmp120 = x_8554 < y_8555
if tmp120 then
_raise(_Overflow, "mlbasis.sml:680:39")
else
local a_8556
do
local x_8559 = major_2555
a_8556 = x_8559
end
local x_8561 = a_8556
tmp_10441 = x_8561
end
end
n_2557 = __Int_add(tmp_10442, tmp_10441)
end
if minor_2556 == 0x0 then
return _VectorOrArray_tabulate({n_2557, function(i_2558)
local a_8567
do
local x_8570 = major_2555
local tmp_10444 = x_8570
local a_8571 = 0x0
local x_8573 = a_8571
local tmp_10443 = x_8573
a_8567 = {tmp_10444, tmp_10443}
end
local x_8575 = a_8567[1]
local y_8576 = a_8567[2]
local tmp121 = x_8575 < y_8576
local tmp_10445
if tmp121 then
_raise(_Overflow, "mlbasis.sml:680:39")
else
local a_8577
do
local x_8580 = major_2555
a_8577 = x_8580
end
local x_8582 = a_8577
tmp_10445 = x_8582
end
if i_2558 < tmp_10445 then
return 0x0
else
local tmp_10449
do
local a_8596
do
local x_8599 = major_2555
local tmp_10447 = x_8599
local a_8600 = 0x0
local x_8602 = a_8600
local tmp_10446 = x_8602
a_8596 = {tmp_10447, tmp_10446}
end
local x_8604 = a_8596[1]
local y_8605 = a_8596[2]
local tmp122 = x_8604 < y_8605
local tmp_10448
if tmp122 then
_raise(_Overflow, "mlbasis.sml:680:39")
else
local a_8606
do
local x_8609 = major_2555
a_8606 = x_8609
end
local x_8611 = a_8606
tmp_10448 = x_8611
end
tmp_10449 = __Int_sub(i_2558, tmp_10448)
end
local vec_8589 = a_2552[1]
return vec_8589[tmp_10449 + 1]
end
end})
else
local m_2559
do
local tmp_10450 = 1
m_2559 = __Int_add(n_2557, tmp_10450)
end
local arr_2560 = _Array_array({m_2559, 0x0})
local loop_2561
loop_2561 = function(a_2562)
local lo_2564 = a_2562[1]
local i_2563 = a_2562[2]
if i_2563 == m_2559 then
if lo_2564 == 0x0 then
return nil
else
local tmp123 = _Fail("LShiftAbs: carry not zero")
_raise(tmp123, "int-inf.sml:326:84")
end
else
local x_8618 = a_2562[2]
local w_2565
if x_8618 < n_2557 then
local vec_8626 = a_2552[1]
local i_8627 = a_2562[2]
w_2565 = vec_8626[i_8627 + 1]
else
w_2565 = 0x0
end
local v_2566
do
local a_8628
do
local a_8649
do
local a_8650
do
local x_8653 = w_2565
local tmp_10452 = x_8653
local x_8656 = minor_2556
local tmp_10451 = x_8656
a_8650 = {tmp_10452, tmp_10451}
end
local x_8658 = a_8650[1]
local y_8659 = a_8650[2]
a_8649 = x_8658 << y_8659
end
local x_8661 = a_8649
local tmp_10453 = x_8661
a_8628 = {tmp_10453, lo_2564}
end
local x_8630 = a_8628[1]
local y_8631 = a_8628[2]
local a_8632
do
local a_8633
do
local a_8634 = x_8630
local x_8636 = a_8634
local tmp_10455 = x_8636
local a_8637 = y_8631
local x_8639 = a_8637
local tmp_10454 = x_8639
a_8633 = {tmp_10455, tmp_10454}
end
local x_8641 = a_8633[1]
local y_8642 = a_8633[2]
a_8632 = x_8641 | y_8642
end
local x_8644 = a_8632
v_2566 = x_8644
end
local hi_2567
do
local tmp_10457
do
local a_8679
do
local a_8684
do
local x_8687 = wordSize_1007
a_8684 = x_8687
end
local x_8689 = a_8684
local tmp_10456 = x_8689
a_8679 = {tmp_10456, minor_2556}
end
local x_8681 = a_8679[1]
local y_8682 = a_8679[2]
tmp_10457 = x_8681 - y_8682
end
local a_8666
do
local a_8667
do
local x_8670 = w_2565
local tmp_10459 = x_8670
local x_8673 = tmp_10457
local tmp_10458 = x_8673
a_8667 = {tmp_10459, tmp_10458}
end
local x_8675 = a_8667[1]
local y_8676 = a_8667[2]
a_8666 = x_8675 >> y_8676
end
local x_8678 = a_8666
hi_2567 = x_8678
end
local a_8695
do
local a_8705
do
local x_8708 = major_2555
local tmp_10461 = x_8708
local a_8709 = 0x0
local x_8711 = a_8709
local tmp_10460 = x_8711
a_8705 = {tmp_10461, tmp_10460}
end
local x_8713 = a_8705[1]
local y_8714 = a_8705[2]
local tmp124 = x_8713 < y_8714
local tmp_10462
if tmp124 then
_raise(_Overflow, "mlbasis.sml:680:39")
else
local a_8715
do
local x_8718 = major_2555
a_8715 = x_8718
end
local x_8720 = a_8715
tmp_10462 = x_8720
end
local x_8702 = a_2562[2]
local tmp_10463 = __Int_add(x_8702, tmp_10462)
a_8695 = {arr_2560, tmp_10463, v_2566}
end
local arr_8697 = a_8695[1]
local i_8698 = a_8695[2]
local v_8699 = a_8695[3]
arr_8697[i_8698 + 1] = v_8699
local tmp_10464 = 1
local x_8723 = a_2562[2]
local tmp125 = __Int_add(x_8723, tmp_10464)
return loop_2561({hi_2567, tmp125})
end
end
loop_2561({0x0, 0})
return normalize_2409(arr_2560)
end
end
local RShiftAbs_2568 = function(a_2569)
local words_2571 = a_2569[1]
local amount_2570 = a_2569[2]
local major_2572
do
local a_8725
do
local a_8730
do
local x_8733 = wordSize_1007
a_8730 = x_8733
end
local x_8735 = a_8730
local tmp_10465 = x_8735
a_8725 = {amount_2570, tmp_10465}
end
local x_8727 = a_8725[1]
local y_8728 = a_8725[2]
major_2572 = __Word_div(x_8727, y_8728)
end
local minor_2573
do
local a_8736
do
local a_8741
do
local x_8744 = wordSize_1007
a_8741 = x_8744
end
local x_8746 = a_8741
local tmp_10466 = x_8746
a_8736 = {amount_2570, tmp_10466}
end
local x_8738 = a_8736[1]
local y_8739 = a_8736[2]
minor_2573 = __Word_mod(x_8738, y_8739)
end
local n_2574
do
local tmp_10469, tmp_10470
do
local a_8754 = words_2571
tmp_10470 = a_8754.n
local a_8758
do
local x_8761 = major_2572
local tmp_10468 = x_8761
local a_8762 = 0x0
local x_8764 = a_8762
local tmp_10467 = x_8764
a_8758 = {tmp_10468, tmp_10467}
end
local x_8766 = a_8758[1]
local y_8767 = a_8758[2]
local tmp126 = x_8766 < y_8767
if tmp126 then
_raise(_Overflow, "mlbasis.sml:680:39")
else
local a_8768
do
local x_8771 = major_2572
a_8768 = x_8771
end
local x_8773 = a_8768
tmp_10469 = x_8773
end
end
n_2574 = __Int_sub(tmp_10470, tmp_10469)
end
if minor_2573 == 0x0 then
local tmp128 = _VectorOrArray_tabulate({n_2574, function(i_2575)
local tmp_10474
do
local a_8787
do
local x_8790 = major_2572
local tmp_10472 = x_8790
local a_8791 = 0x0
local x_8793 = a_8791
local tmp_10471 = x_8793
a_8787 = {tmp_10472, tmp_10471}
end
local x_8795 = a_8787[1]
local y_8796 = a_8787[2]
local tmp127 = x_8795 < y_8796
local tmp_10473
if tmp127 then
_raise(_Overflow, "mlbasis.sml:680:39")
else
local a_8797
do
local x_8800 = major_2572
a_8797 = x_8800
end
local x_8802 = a_8797
tmp_10473 = x_8802
end
tmp_10474 = __Int_add(i_2575, tmp_10473)
end
local vec_8780 = a_2569[1]
return vec_8780[tmp_10474 + 1]
end})
local tmp129 = VectorSlice_1908["exists"](function(x_2576)
return (function(a_8812)
local x_8814 = a_8812[1]
local y_8815 = a_8812[2]
local a_8816 = x_8814 == y_8815
return not a_8816
end)({x_2576, 0x0})
end)
local a_8820
do
local x_8823 = major_2572
local tmp_10476 = x_8823
local a_8824 = 0x0
local x_8826 = a_8824
local tmp_10475 = x_8826
a_8820 = {tmp_10476, tmp_10475}
end
local x_8828 = a_8820[1]
local y_8829 = a_8820[2]
local tmp130 = x_8828 < y_8829
local tmp131
if tmp130 then
_raise(_Overflow, "mlbasis.sml:680:39")
else
local a_8830
do
local x_8833 = major_2572
a_8830 = x_8833
end
local x_8835 = a_8830
tmp131 = x_8835
end
local tmp132 = SOME_385(tmp131)
local tmp133 = VectorSlice_1908["slice"]({words_2571, 0, tmp132})
local tmp134 = tmp129(tmp133)
return {tmp128, tmp134}
else
local arr_2577 = _Array_array({n_2574, 0x0})
local hasRemainder_2578
do
local loop_2579
loop_2579 = function(a_2580)
local hi_2582 = a_2580[1]
local tmp_10477 = 0
local x_8838 = a_2580[2]
if x_8838 < tmp_10477 then
return (function(a_8849)
local x_8851 = a_8849[1]
local y_8852 = a_8849[2]
local a_8853 = x_8851 == y_8852
return not a_8853
end)({hi_2582, 0x0})
else
local w_2583
do
local tmp_10481
do
local a_8869
do
local x_8872 = major_2572
local tmp_10479 = x_8872
local a_8873 = 0x0
local x_8875 = a_8873
local tmp_10478 = x_8875
a_8869 = {tmp_10479, tmp_10478}
end
local x_8877 = a_8869[1]
local y_8878 = a_8869[2]
local tmp135 = x_8877 < y_8878
local tmp_10480
if tmp135 then
_raise(_Overflow, "mlbasis.sml:680:39")
else
local a_8879
do
local x_8882 = major_2572
a_8879 = x_8882
end
local x_8884 = a_8879
tmp_10480 = x_8884
end
local x_8866 = a_2580[2]
tmp_10481 = __Int_add(x_8866, tmp_10480)
end
local vec_8862 = a_2569[1]
w_2583 = vec_8862[tmp_10481 + 1]
end
local v_2584
do
local a_8885
do
local a_8906
do
local a_8907
do
local x_8910 = w_2583
local tmp_10483 = x_8910
local x_8913 = minor_2573
local tmp_10482 = x_8913
a_8907 = {tmp_10483, tmp_10482}
end
local x_8915 = a_8907[1]
local y_8916 = a_8907[2]
a_8906 = x_8915 >> y_8916
end
local x_8918 = a_8906
local tmp_10484 = x_8918
a_8885 = {tmp_10484, hi_2582}
end
local x_8887 = a_8885[1]
local y_8888 = a_8885[2]
local a_8889
do
local a_8890
do
local a_8891 = x_8887
local x_8893 = a_8891
local tmp_10486 = x_8893
local a_8894 = y_8888
local x_8896 = a_8894
local tmp_10485 = x_8896
a_8890 = {tmp_10486, tmp_10485}
end
local x_8898 = a_8890[1]
local y_8899 = a_8890[2]
a_8889 = x_8898 | y_8899
end
local x_8901 = a_8889
v_2584 = x_8901
end
local lo_2585
do
local tmp_10488
do
local a_8936
do
local a_8941
do
local x_8944 = wordSize_1007
a_8941 = x_8944
end
local x_8946 = a_8941
local tmp_10487 = x_8946
a_8936 = {tmp_10487, minor_2573}
end
local x_8938 = a_8936[1]
local y_8939 = a_8936[2]
tmp_10488 = x_8938 - y_8939
end
local a_8923
do
local a_8924
do
local x_8927 = w_2583
local tmp_10490 = x_8927
local x_8930 = tmp_10488
local tmp_10489 = x_8930
a_8924 = {tmp_10490, tmp_10489}
end
local x_8932 = a_8924[1]
local y_8933 = a_8924[2]
a_8923 = x_8932 << y_8933
end
local x_8935 = a_8923
lo_2585 = x_8935
end
local i_8955 = a_2580[2]
arr_2577[i_8955 + 1] = v_2584
local tmp_10491 = 1
local x_8959 = a_2580[2]
local tmp136 = __Int_sub(x_8959, tmp_10491)
return loop_2579({lo_2585, tmp136})
end
end
local tmp_10492 = 1
local tmp137 = __Int_sub(n_2574, tmp_10492)
hasRemainder_2578 = loop_2579({0x0, tmp137})
end
local hasRemainder_2586
if hasRemainder_2578 then
hasRemainder_2586 = true
else
local tmp138 = VectorSlice_1908["exists"](function(x_2587)
return (function(a_8974)
local x_8976 = a_8974[1]
local y_8977 = a_8974[2]
local a_8978 = x_8976 == y_8977
return not a_8978
end)({x_2587, 0x0})
end)
local a_8982
do
local x_8985 = major_2572
local tmp_10494 = x_8985
local a_8986 = 0x0
local x_8988 = a_8986
local tmp_10493 = x_8988
a_8982 = {tmp_10494, tmp_10493}
end
local x_8990 = a_8982[1]
local y_8991 = a_8982[2]
local tmp139 = x_8990 < y_8991
local tmp140
if tmp139 then
_raise(_Overflow, "mlbasis.sml:680:39")
else
local a_8992
do
local x_8995 = major_2572
a_8992 = x_8995
end
local x_8997 = a_8992
tmp140 = x_8997
end
local tmp141 = SOME_385(tmp140)
local tmp142 = VectorSlice_1908["slice"]({words_2571, 0, tmp141})
hasRemainder_2586 = tmp138(tmp142)
end
local tmp143 = normalize_2409(arr_2577)
return {tmp143, hasRemainder_2586}
end
end
local _LT_LT_2588 = function(a_2589)
if a_2589[1].tag == "ZERO" then
local z_2590 = a_2589[1]
return z_2590
elseif a_2589[1].tag == "POSITIVE" then
local words_2592 = a_2589[1].payload
local amount_2591 = a_2589[2]
local tmp144 = LShiftAbs_2551({words_2592, amount_2591})
return POSITIVE_2338(tmp144)
elseif a_2589[1].tag == "NEGATIVE" then
local words_2594 = a_2589[1].payload
local amount_2593 = a_2589[2]
local tmp145 = LShiftAbs_2551({words_2594, amount_2593})
return NEGATIVE_2337(tmp145)
else
_raise(_Match, "int-inf.sml:365:5")
end
end
local _TILDE_GT_GT_2595 = function(a_2596)
if a_2596[1].tag == "ZERO" then
local z_2597 = a_2596[1]
return z_2597
elseif a_2596[1].tag == "POSITIVE" then
local words_2599 = a_2596[1].payload
local amount_2598 = a_2596[2]
local tmp146 = RShiftAbs_2568({words_2599, amount_2598})
return POSITIVE_2338(tmp146[1])
elseif a_2596[1].tag == "NEGATIVE" then
local words_2601 = a_2596[1].payload
local amount_2600 = a_2596[2]
local x_2603, y_2602
do
local exp_3371 = RShiftAbs_2568({words_2601, amount_2600})
local x_2604 = exp_3371[1]
local y_2605 = exp_3371[2]
x_2603, y_2602 = table_unpack({x_2604, y_2605}, 1, 2)
end
local tmp147
if y_2602 then
tmp147 = addAbs_2417({x_2603, { n = 1, 0x1 }})
else
tmp147 = x_2603
end
return NEGATIVE_2337(tmp147)
else
_raise(_Match, "int-inf.sml:369:5")
end
end
local clzWord_2606 = function(a_2607)
local loop_2609
loop_2609 = function(a_2610)
local x_2612 = a_2610[1]
local n_2611 = a_2610[2]
if x_2612 == 0x0 then
return n_2611
else
local tmp_10495 = 0x1
local x_9000 = a_2610[1]
local a_9002
do
local a_9003
do
local a_9004 = x_9000
local x_9006 = a_9004
local tmp_10497 = x_9006
local x_9009 = tmp_10495
local tmp_10496 = x_9009
a_9003 = {tmp_10497, tmp_10496}
end
local x_9011 = a_9003[1]
local y_9012 = a_9003[2]
a_9002 = x_9011 >> y_9012
end
local x_9014 = a_9002
local tmp_10498 = 1
local x_9017 = a_2610[2]
local tmp148 = __Int_sub(x_9017, tmp_10498)
return loop_2609({x_9014, tmp148})
end
end
return loop_2609({a_2607, wordSize_1007})
end
local quot2_2613 = function(a_2614)
local u1_2617 = a_2614[1]
local v_2615 = a_2614[3]
local v__hi_2618
do
local x_9021 = a_2614[3]
local a_9023
do
local a_9024
do
local a_9025 = x_9021
local x_9027 = a_9025
local tmp_10500 = x_9027
local x_9030 = wordSize__2_2373
local tmp_10499 = x_9030
a_9024 = {tmp_10500, tmp_10499}
end
local x_9032 = a_9024[1]
local y_9033 = a_9024[2]
a_9023 = x_9032 >> y_9033
end
local x_9035 = a_9023
v__hi_2618 = x_9035
end
local q1_2619
do
local x_9038 = a_2614[1]
q1_2619 = __Word_div(x_9038, v__hi_2618)
end
local r1_2620
do
local x_9042 = a_2614[1]
r1_2620 = __Word_mod(x_9042, v__hi_2618)
end
local q_2621
do
local tmp_10508, tmp_10509
do
local a_9048
do
local a_9056
do
local a_9057
do
local x_9060 = q1_2619
local tmp_10502 = x_9060
local x_9063 = wordSize__2_2373
local tmp_10501 = x_9063
a_9057 = {tmp_10502, tmp_10501}
end
local x_9065 = a_9057[1]
local y_9066 = a_9057[2]
a_9056 = x_9065 << y_9066
end
local x_9068 = a_9056
local tmp_10507 = x_9068
local a_9069
do
local a_9077
do
local a_9078
do
local x_9081 = r1_2620
local tmp_10504 = x_9081
local x_9084 = wordSize__2_2373
local tmp_10503 = x_9084
a_9078 = {tmp_10504, tmp_10503}
end
local x_9086 = a_9078[1]
local y_9087 = a_9078[2]
a_9077 = x_9086 << y_9087
end
local x_9089 = a_9077
local tmp_10505 = x_9089
a_9069 = {tmp_10505, v__hi_2618}
end
local x_9071 = a_9069[1]
local y_9072 = a_9069[2]
local tmp_10506 = __Word_div(x_9071, y_9072)
a_9048 = {tmp_10507, tmp_10506}
end
local x_9050 = a_9048[1]
local y_9051 = a_9048[2]
tmp_10509 = x_9050 + y_9051
local x_9092 = a_2614[2]
local y_9093 = a_2614[3]
tmp_10508 = __Word_div(x_9092, y_9093)
end
q_2621 = tmp_10509 + tmp_10508
end
local loop_2622
loop_2622 = function(a_2623)
local x_9094 = 0x0
local a_9095
do
local a_9096
do
local x_9099 = x_9094
a_9096 = x_9099
end
a_9095 = ~ a_9096
end
local x_9103 = a_9095
if a_2623 == x_9103 then
return a_2623
else
local v0_2625, v1_2626
do
local exp_3376 = mul2_2375({a_2623, v_2615})
local v1_2628 = exp_3376["hi"]
local v0_2627 = exp_3376["lo"]
v0_2625, v1_2626 = table_unpack({v0_2627, v1_2628}, 1, 2)
end
local x_9106 = a_2614[1]
local tmp149 = __Word_LT(x_9106, v1_2626)
local tmp150
if tmp149 then
tmp150 = true
elseif u1_2617 == v1_2626 then
local x_9110 = a_2614[2]
tmp150 = __Word_LT(x_9110, v0_2625)
else
tmp150 = false
end
if tmp150 then
local tmp_10510 = 0x1
return loop_2622(a_2623 - tmp_10510)
else
local v0_PRIME_2629, v1_PRIME_2630
do
local tmp_10511 = 0x1
local exp_3377 = mul2_2375({a_2623 + tmp_10511, v_2615})
local v1_PRIME_2632 = exp_3377["hi"]
local v0_PRIME_2631 = exp_3377["lo"]
v0_PRIME_2629, v1_PRIME_2630 = table_unpack({v0_PRIME_2631, v1_PRIME_2632}, 1, 2)
end
local y_9123 = a_2614[1]
local tmp151 = __Word_LT(v1_PRIME_2630, y_9123)
local tmp152
if tmp151 then
tmp152 = true
elseif v1_PRIME_2630 == u1_2617 then
local a_9128
do
local x_9131 = a_2614[2]
a_9128 = __Word_LT(x_9131, v0_PRIME_2629)
end
tmp152 = not a_9128
else
tmp152 = false
end
if tmp152 then
local tmp_10512 = 0x1
return loop_2622(a_2623 + tmp_10512)
else
return a_2623
end
end
end
end
return loop_2622(q_2621)
end
local quotRemAbs_2639 = function(a_2640)
local words_2642 = a_2640[1]
local words_PRIME_2641 = a_2640[2]
local n_2643
do
local a_9150 = words_PRIME_2641
n_2643 = a_9150.n
end
local m_PRIME_2644
do
local a_9156 = words_2642
m_PRIME_2644 = a_9156.n
end
local m_2645 = __Int_sub(m_PRIME_2644, n_2643)
local tmp_10514 = 0
if m_2645 < tmp_10514 then
return {{ n = 0 }, words_2642}
else
local offset_2646
do
local tmp_10516
do
local tmp_10515 = 1
tmp_10516 = __Int_sub(n_2643, tmp_10515)
end
local vec_9180 = a_2640[2]
local x_9167 = clzWord_2606(vec_9180[tmp_10516 + 1])
local a_9168
do
local x_9171 = x_9167
a_9168 = x_9171
end
local x_9173 = a_9168
offset_2646 = x_9173
end
local words_2647 = LShiftAbs_2551({words_2642, offset_2646})
local words_2648 = _VectorOrArray_tabulate({words_2647.n, function(i_2649)
return words_2647[i_2649 + 1]
end})
local words_PRIME_2650 = LShiftAbs_2551({words_PRIME_2641, offset_2646})
local tmp_10517 = 1
local tmp153 = __Int_add(m_2645, tmp_10517)
local quotient_2651 = _Array_array({tmp153, 0x0})
local loop_2652
loop_2652 = function(a_2653)
local tmp_10518 = 0
if a_2653 < tmp_10518 then
return nil
else
local tmp_10519, tmp_10520
do
tmp_10520 = words_2648.n
tmp_10519 = __Int_add(a_2653, n_2643)
end
local u1_2655
if tmp_10520 > tmp_10519 then
local tmp_10521 = __Int_add(a_2653, n_2643)
u1_2655 = words_2648[tmp_10521 + 1]
else
u1_2655 = 0x0
end
local u0_2656
do
local tmp_10524
do
local tmp_10522, tmp_10523
do
tmp_10523 = __Int_add(a_2653, n_2643)
tmp_10522 = 1
end
tmp_10524 = __Int_sub(tmp_10523, tmp_10522)
end
u0_2656 = words_2648[tmp_10524 + 1]
end
local v_2657
do
local tmp_10526
do
local tmp_10525 = 1
tmp_10526 = __Int_sub(n_2643, tmp_10525)
end
v_2657 = words_PRIME_2650[tmp_10526 + 1]
end
local q_PRIME_2659
do
local q_9267, tmp_10528
do
q_9267 = quot2_2613({u1_2655, u0_2656, v_2657})
local tmp_10527 = q_9267 * v_2657
tmp_10528 = u0_2656 - tmp_10527
end
local r_PRIME_2658
q_PRIME_2659, r_PRIME_2658 = table_unpack({q_9267, tmp_10528}, 1, 2)
end
local loop2_2662
loop2_2662 = function(a_2663)
local w_2665 = mulAbsSingle_2477({words_PRIME_2650, a_2663})
local tmp154 = ArraySlice_1996["slice"]({words_2648, a_2653, NONE_386})
local ws_2666 = ArraySlice_1996["vector"](tmp154)
local exp_3383 = compareAbs_2396({ws_2666, w_2665})
if exp_3383.tag == "LESS" then
local tmp_10529 = 0x1
return loop2_2662(a_2663 - tmp_10529)
else
local d_2667 = subAbs_2435({ws_2666, w_2665})
local l_2668
l_2668 = function(a_2669)
local tmp_10530 = words_2648.n
if a_2669 >= tmp_10530 then
return nil
else
local tmp_10531 = 0x0
words_2648[a_2669 + 1] = tmp_10531
local tmp_10532 = 1
local tmp155 = __Int_add(a_2669, tmp_10532)
return l_2668(tmp155)
end
end
local tmp_10533 = d_2667.n
local tmp156 = __Int_add(a_2653, tmp_10533)
l_2668(tmp156)
copyVec_1600({["src"] = d_2667, ["dst"] = words_2648, ["di"] = a_2653})
return a_2663
end
end
local q_2671 = loop2_2662(q_PRIME_2659)
quotient_2651[a_2653 + 1] = q_2671
local tmp_10534 = 1
local tmp157 = __Int_sub(a_2653, tmp_10534)
return loop_2652(tmp157)
end
end
loop_2652(m_2645)
local tmp158 = normalize_2409(quotient_2651)
local tmp159 = normalize_2409(words_2648)
local tmp160 = RShiftAbs_2568({tmp159, offset_2646})
return {tmp158, tmp160[1]}
end
end
local div___2678 = function(a_2679)
if a_2679[2].tag == "ZERO" then
_raise(_Div, "int-inf.sml:475:22")
elseif a_2679[1].tag == "ZERO" then
local z_2680 = a_2679[1]
return z_2680
else
local tmp161
if a_2679[1].tag == "POSITIVE" then
tmp161 = a_2679[2].tag == "POSITIVE"
else
tmp161 = false
end
if tmp161 then
local words_2682 = a_2679[1].payload
local words_PRIME_2681 = a_2679[2].payload
local q_2683
do
local exp_3388 = quotRemAbs_2639({words_2682, words_PRIME_2681})
local q_2684 = exp_3388[1]
q_2683 = q_2684
end
local a_9340 = q_2683
if a_9340.n == 0 then
return ZERO_2339
else
return POSITIVE_2338(a_9340)
end
else
local tmp162
if a_2679[1].tag == "POSITIVE" then
tmp162 = a_2679[2].tag == "NEGATIVE"
else
tmp162 = false
end
if tmp162 then
local words_2686 = a_2679[1].payload
local words_PRIME_2685 = a_2679[2].payload
local q_2688, r_2687
do
local exp_3389 = quotRemAbs_2639({words_2686, words_PRIME_2685})
local q_2689 = exp_3389[1]
local r_2690 = exp_3389[2]
q_2688, r_2687 = table_unpack({q_2689, r_2690}, 1, 2)
end
local tmp_10535, tmp_10536
do
tmp_10536 = r_2687.n
tmp_10535 = 0
end
if tmp_10536 > tmp_10535 then
local a_9356 = addAbs_2417({q_2688, { n = 1, 0x1 }})
if a_9356.n == 0 then
return ZERO_2339
else
return NEGATIVE_2337(a_9356)
end
elseif q_2688.n == 0 then
return ZERO_2339
else
return NEGATIVE_2337(q_2688)
end
else
local tmp163
if a_2679[1].tag == "NEGATIVE" then
tmp163 = a_2679[2].tag == "POSITIVE"
else
tmp163 = false
end
if tmp163 then
local words_2692 = a_2679[1].payload
local words_PRIME_2691 = a_2679[2].payload
local q_2694, r_2693
do
local exp_3390 = quotRemAbs_2639({words_2692, words_PRIME_2691})
local q_2695 = exp_3390[1]
local r_2696 = exp_3390[2]
q_2694, r_2693 = table_unpack({q_2695, r_2696}, 1, 2)
end
local tmp_10537, tmp_10538
do
tmp_10538 = r_2693.n
tmp_10537 = 0
end
if tmp_10538 > tmp_10537 then
local a_9378 = addAbs_2417({q_2694, { n = 1, 0x1 }})
if a_9378.n == 0 then
return ZERO_2339
else
return NEGATIVE_2337(a_9378)
end
elseif q_2694.n == 0 then
return ZERO_2339
else
return NEGATIVE_2337(q_2694)
end
else
local tmp164
if a_2679[1].tag == "NEGATIVE" then
tmp164 = a_2679[2].tag == "NEGATIVE"
else
tmp164 = false
end
if tmp164 then
local words_2698 = a_2679[1].payload
local words_PRIME_2697 = a_2679[2].payload
local q_2699
do
local exp_3391 = quotRemAbs_2639({words_2698, words_PRIME_2697})
local q_2700 = exp_3391[1]
q_2699 = q_2700
end
local a_9390 = q_2699
if a_9390.n == 0 then
return ZERO_2339
else
return POSITIVE_2338(a_9390)
end
else
_raise(_Match, "int-inf.sml:475:5")
end
end
end
end
end
end
local mod___2701 = function(a_2702)
if a_2702[2].tag == "ZERO" then
_raise(_Div, "int-inf.sml:496:22")
elseif a_2702[1].tag == "ZERO" then
local z_2703 = a_2702[1]
return z_2703
else
local tmp165
if a_2702[1].tag == "POSITIVE" then
tmp165 = a_2702[2].tag == "POSITIVE"
else
tmp165 = false
end
if tmp165 then
local words_2705 = a_2702[1].payload
local words_PRIME_2704 = a_2702[2].payload
local r_2706
do
local exp_3393 = quotRemAbs_2639({words_2705, words_PRIME_2704})
local r_2707 = exp_3393[2]
r_2706 = r_2707
end
local a_9396 = r_2706
if a_9396.n == 0 then
return ZERO_2339
else
return POSITIVE_2338(a_9396)
end
else
local tmp166
if a_2702[1].tag == "POSITIVE" then
tmp166 = a_2702[2].tag == "NEGATIVE"
else
tmp166 = false
end
if tmp166 then
local words_2709 = a_2702[1].payload
local words_PRIME_2708 = a_2702[2].payload
local r_2710
do
local exp_3394 = quotRemAbs_2639({words_2709, words_PRIME_2708})
local r_2711 = exp_3394[2]
r_2710 = r_2711
end
local tmp_10539, tmp_10540
do
local a_9409 = r_2710
tmp_10540 = a_9409.n
tmp_10539 = 0
end
if tmp_10540 > tmp_10539 then
local a_9412 = subAbs_2435({words_PRIME_2708, r_2710})
if a_9412.n == 0 then
return ZERO_2339
else
return NEGATIVE_2337(a_9412)
end
else
return ZERO_2339
end
else
local tmp167
if a_2702[1].tag == "NEGATIVE" then
tmp167 = a_2702[2].tag == "POSITIVE"
else
tmp167 = false
end
if tmp167 then
local words_2713 = a_2702[1].payload
local words_PRIME_2712 = a_2702[2].payload
local r_2714
do
local exp_3395 = quotRemAbs_2639({words_2713, words_PRIME_2712})
local r_2715 = exp_3395[2]
r_2714 = r_2715
end
local tmp_10541, tmp_10542
do
local a_9425 = r_2714
tmp_10542 = a_9425.n
tmp_10541 = 0
end
if tmp_10542 > tmp_10541 then
local a_9428 = subAbs_2435({words_PRIME_2712, r_2714})
if a_9428.n == 0 then
return ZERO_2339
else
return POSITIVE_2338(a_9428)
end
else
return ZERO_2339
end
else
local tmp168
if a_2702[1].tag == "NEGATIVE" then
tmp168 = a_2702[2].tag == "NEGATIVE"
else
tmp168 = false
end
if tmp168 then
local words_2717 = a_2702[1].payload
local words_PRIME_2716 = a_2702[2].payload
local r_2718
do
local exp_3396 = quotRemAbs_2639({words_2717, words_PRIME_2716})
local r_2719 = exp_3396[2]
r_2718 = r_2719
end
local a_9434 = r_2718
if a_9434.n == 0 then
return ZERO_2339
else
return NEGATIVE_2337(a_9434)
end
else
_raise(_Match, "int-inf.sml:496:5")
end
end
end
end
end
end
local divMod_2720 = function(a_2721)
if a_2721[2].tag == "ZERO" then
_raise(_Div, "int-inf.sml:517:24")
elseif a_2721[1].tag == "ZERO" then
local z_2722 = a_2721[1]
return {z_2722, z_2722}
else
local tmp169
if a_2721[1].tag == "POSITIVE" then
tmp169 = a_2721[2].tag == "POSITIVE"
else
tmp169 = false
end
if tmp169 then
local words_2724 = a_2721[1].payload
local words_PRIME_2723 = a_2721[2].payload
local q_2726, r_2725
do
local exp_3398 = quotRemAbs_2639({words_2724, words_PRIME_2723})
local q_2727 = exp_3398[1]
local r_2728 = exp_3398[2]
q_2726, r_2725 = table_unpack({q_2727, r_2728}, 1, 2)
end
local tmp170
if q_2726.n == 0 then
tmp170 = ZERO_2339
else
tmp170 = POSITIVE_2338(q_2726)
end
local tmp171
if r_2725.n == 0 then
tmp171 = ZERO_2339
else
tmp171 = POSITIVE_2338(r_2725)
end
return {tmp170, tmp171}
else
local tmp172
if a_2721[1].tag == "POSITIVE" then
tmp172 = a_2721[2].tag == "NEGATIVE"
else
tmp172 = false
end
if tmp172 then
local words_2730 = a_2721[1].payload
local words_PRIME_2729 = a_2721[2].payload
local q_2732, r_2731
do
local exp_3399 = quotRemAbs_2639({words_2730, words_PRIME_2729})
local q_2733 = exp_3399[1]
local r_2734 = exp_3399[2]
q_2732, r_2731 = table_unpack({q_2733, r_2734}, 1, 2)
end
local tmp_10543, tmp_10544
do
tmp_10544 = r_2731.n
tmp_10543 = 0
end
if tmp_10544 > tmp_10543 then
local a_9462 = addAbs_2417({q_2732, { n = 1, 0x1 }})
local tmp173
if a_9462.n == 0 then
tmp173 = ZERO_2339
else
tmp173 = NEGATIVE_2337(a_9462)
end
local a_9468 = subAbs_2435({words_PRIME_2729, r_2731})
local tmp174
if a_9468.n == 0 then
tmp174 = ZERO_2339
else
tmp174 = NEGATIVE_2337(a_9468)
end
return {tmp173, tmp174}
else
local tmp175
if q_2732.n == 0 then
tmp175 = ZERO_2339
else
tmp175 = NEGATIVE_2337(q_2732)
end
return {tmp175, ZERO_2339}
end
else
local tmp176
if a_2721[1].tag == "NEGATIVE" then
tmp176 = a_2721[2].tag == "POSITIVE"
else
tmp176 = false
end
if tmp176 then
local words_2736 = a_2721[1].payload
local words_PRIME_2735 = a_2721[2].payload
local q_2738, r_2737
do
local exp_3400 = quotRemAbs_2639({words_2736, words_PRIME_2735})
local q_2739 = exp_3400[1]
local r_2740 = exp_3400[2]
q_2738, r_2737 = table_unpack({q_2739, r_2740}, 1, 2)
end
local tmp_10545, tmp_10546
do
tmp_10546 = r_2737.n
tmp_10545 = 0
end
if tmp_10546 > tmp_10545 then
local a_9490 = addAbs_2417({q_2738, { n = 1, 0x1 }})
local tmp177
if a_9490.n == 0 then
tmp177 = ZERO_2339
else
tmp177 = NEGATIVE_2337(a_9490)
end
local a_9496 = subAbs_2435({words_PRIME_2735, r_2737})
local tmp178
if a_9496.n == 0 then
tmp178 = ZERO_2339
else
tmp178 = POSITIVE_2338(a_9496)
end
return {tmp177, tmp178}
else
local tmp179
if q_2738.n == 0 then
tmp179 = ZERO_2339
else
tmp179 = NEGATIVE_2337(q_2738)
end
return {tmp179, ZERO_2339}
end
else
local tmp180
if a_2721[1].tag == "NEGATIVE" then
tmp180 = a_2721[2].tag == "NEGATIVE"
else
tmp180 = false
end
if tmp180 then
local words_2742 = a_2721[1].payload
local words_PRIME_2741 = a_2721[2].payload
local q_2744, r_2743
do
local exp_3401 = quotRemAbs_2639({words_2742, words_PRIME_2741})
local q_2745 = exp_3401[1]
local r_2746 = exp_3401[2]
q_2744, r_2743 = table_unpack({q_2745, r_2746}, 1, 2)
end
local tmp181
if q_2744.n == 0 then
tmp181 = ZERO_2339
else
tmp181 = NEGATIVE_2337(q_2744)
end
local tmp182
if r_2743.n == 0 then
tmp182 = ZERO_2339
else
tmp182 = POSITIVE_2338(r_2743)
end
return {tmp181, tmp182}
else
_raise(_Match, "int-inf.sml:517:5")
end
end
end
end
end
end
local quot_2747 = function(a_2748)
if a_2748[2].tag == "ZERO" then
_raise(_Div, "int-inf.sml:538:22")
elseif a_2748[1].tag == "ZERO" then
local z_2749 = a_2748[1]
return z_2749
else
local tmp183
if a_2748[1].tag == "POSITIVE" then
tmp183 = a_2748[2].tag == "POSITIVE"
else
tmp183 = false
end
if tmp183 then
local words_2751 = a_2748[1].payload
local words_PRIME_2750 = a_2748[2].payload
local q_2752
do
local exp_3403 = quotRemAbs_2639({words_2751, words_PRIME_2750})
local q_2753 = exp_3403[1]
q_2752 = q_2753
end
local a_9520 = q_2752
if a_9520.n == 0 then
return ZERO_2339
else
return POSITIVE_2338(a_9520)
end
else
local tmp184
if a_2748[1].tag == "POSITIVE" then
tmp184 = a_2748[2].tag == "NEGATIVE"
else
tmp184 = false
end
if tmp184 then
local words_2755 = a_2748[1].payload
local words_PRIME_2754 = a_2748[2].payload
local q_2756
do
local exp_3404 = quotRemAbs_2639({words_2755, words_PRIME_2754})
local q_2757 = exp_3404[1]
q_2756 = q_2757
end
local a_9526 = q_2756
if a_9526.n == 0 then
return ZERO_2339
else
return NEGATIVE_2337(a_9526)
end
else
local tmp185
if a_2748[1].tag == "NEGATIVE" then
tmp185 = a_2748[2].tag == "POSITIVE"
else
tmp185 = false
end
if tmp185 then
local words_2759 = a_2748[1].payload
local words_PRIME_2758 = a_2748[2].payload
local q_2760
do
local exp_3405 = quotRemAbs_2639({words_2759, words_PRIME_2758})
local q_2761 = exp_3405[1]
q_2760 = q_2761
end
local a_9532 = q_2760
if a_9532.n == 0 then
return ZERO_2339
else
return NEGATIVE_2337(a_9532)
end
else
local tmp186
if a_2748[1].tag == "NEGATIVE" then
tmp186 = a_2748[2].tag == "NEGATIVE"
else
tmp186 = false
end
if tmp186 then
local words_2763 = a_2748[1].payload
local words_PRIME_2762 = a_2748[2].payload
local q_2764
do
local exp_3406 = quotRemAbs_2639({words_2763, words_PRIME_2762})
local q_2765 = exp_3406[1]
q_2764 = q_2765
end
local a_9538 = q_2764
if a_9538.n == 0 then
return ZERO_2339
else
return POSITIVE_2338(a_9538)
end
else
_raise(_Match, "int-inf.sml:538:5")
end
end
end
end
end
end
local rem_2766 = function(a_2767)
if a_2767[2].tag == "ZERO" then
_raise(_Div, "int-inf.sml:553:21")
elseif a_2767[1].tag == "ZERO" then
local z_2768 = a_2767[1]
return z_2768
else
local tmp187
if a_2767[1].tag == "POSITIVE" then
tmp187 = a_2767[2].tag == "POSITIVE"
else
tmp187 = false
end
if tmp187 then
local words_2770 = a_2767[1].payload
local words_PRIME_2769 = a_2767[2].payload
local r_2771
do
local exp_3408 = quotRemAbs_2639({words_2770, words_PRIME_2769})
local r_2772 = exp_3408[2]
r_2771 = r_2772
end
local a_9544 = r_2771
if a_9544.n == 0 then
return ZERO_2339
else
return POSITIVE_2338(a_9544)
end
else
local tmp188
if a_2767[1].tag == "POSITIVE" then
tmp188 = a_2767[2].tag == "NEGATIVE"
else
tmp188 = false
end
if tmp188 then
local words_2774 = a_2767[1].payload
local words_PRIME_2773 = a_2767[2].payload
local r_2775
do
local exp_3409 = quotRemAbs_2639({words_2774, words_PRIME_2773})
local r_2776 = exp_3409[2]
r_2775 = r_2776
end
local a_9550 = r_2775
if a_9550.n == 0 then
return ZERO_2339
else
return POSITIVE_2338(a_9550)
end
else
local tmp189
if a_2767[1].tag == "NEGATIVE" then
tmp189 = a_2767[2].tag == "POSITIVE"
else
tmp189 = false
end
if tmp189 then
local words_2778 = a_2767[1].payload
local words_PRIME_2777 = a_2767[2].payload
local r_2779
do
local exp_3410 = quotRemAbs_2639({words_2778, words_PRIME_2777})
local r_2780 = exp_3410[2]
r_2779 = r_2780
end
local a_9556 = r_2779
if a_9556.n == 0 then
return ZERO_2339
else
return NEGATIVE_2337(a_9556)
end
else
local tmp190
if a_2767[1].tag == "NEGATIVE" then
tmp190 = a_2767[2].tag == "NEGATIVE"
else
tmp190 = false
end
if tmp190 then
local words_2782 = a_2767[1].payload
local words_PRIME_2781 = a_2767[2].payload
local r_2783
do
local exp_3411 = quotRemAbs_2639({words_2782, words_PRIME_2781})
local r_2784 = exp_3411[2]
r_2783 = r_2784
end
local a_9562 = r_2783
if a_9562.n == 0 then
return ZERO_2339
else
return NEGATIVE_2337(a_9562)
end
else
_raise(_Match, "int-inf.sml:553:5")
end
end
end
end
end
end
local quotRem_2785 = function(a_2786)
if a_2786[2].tag == "ZERO" then
_raise(_Div, "int-inf.sml:568:25")
elseif a_2786[1].tag == "ZERO" then
local z_2787 = a_2786[1]
return {z_2787, z_2787}
else
local tmp191
if a_2786[1].tag == "POSITIVE" then
tmp191 = a_2786[2].tag == "POSITIVE"
else
tmp191 = false
end
if tmp191 then
local words_2789 = a_2786[1].payload
local words_PRIME_2788 = a_2786[2].payload
local q_2791, r_2790
do
local exp_3413 = quotRemAbs_2639({words_2789, words_PRIME_2788})
local q_2792 = exp_3413[1]
local r_2793 = exp_3413[2]
q_2791, r_2790 = table_unpack({q_2792, r_2793}, 1, 2)
end
local tmp192
if q_2791.n == 0 then
tmp192 = ZERO_2339
else
tmp192 = POSITIVE_2338(q_2791)
end
local tmp193
if r_2790.n == 0 then
tmp193 = ZERO_2339
else
tmp193 = POSITIVE_2338(r_2790)
end
return {tmp192, tmp193}
else
local tmp194
if a_2786[1].tag == "POSITIVE" then
tmp194 = a_2786[2].tag == "NEGATIVE"
else
tmp194 = false
end
if tmp194 then
local words_2795 = a_2786[1].payload
local words_PRIME_2794 = a_2786[2].payload
local q_2797, r_2796
do
local exp_3414 = quotRemAbs_2639({words_2795, words_PRIME_2794})
local q_2798 = exp_3414[1]
local r_2799 = exp_3414[2]
q_2797, r_2796 = table_unpack({q_2798, r_2799}, 1, 2)
end
local tmp195
if q_2797.n == 0 then
tmp195 = ZERO_2339
else
tmp195 = NEGATIVE_2337(q_2797)
end
local tmp196
if r_2796.n == 0 then
tmp196 = ZERO_2339
else
tmp196 = POSITIVE_2338(r_2796)
end
return {tmp195, tmp196}
else
local tmp197
if a_2786[1].tag == "NEGATIVE" then
tmp197 = a_2786[2].tag == "POSITIVE"
else
tmp197 = false
end
if tmp197 then
local words_2801 = a_2786[1].payload
local words_PRIME_2800 = a_2786[2].payload
local q_2803, r_2802
do
local exp_3415 = quotRemAbs_2639({words_2801, words_PRIME_2800})
local q_2804 = exp_3415[1]
local r_2805 = exp_3415[2]
q_2803, r_2802 = table_unpack({q_2804, r_2805}, 1, 2)
end
local tmp198
if q_2803.n == 0 then
tmp198 = ZERO_2339
else
tmp198 = NEGATIVE_2337(q_2803)
end
local tmp199
if r_2802.n == 0 then
tmp199 = ZERO_2339
else
tmp199 = NEGATIVE_2337(r_2802)
end
return {tmp198, tmp199}
else
local tmp200
if a_2786[1].tag == "NEGATIVE" then
tmp200 = a_2786[2].tag == "NEGATIVE"
else
tmp200 = false
end
if tmp200 then
local words_2807 = a_2786[1].payload
local words_PRIME_2806 = a_2786[2].payload
local q_2809, r_2808
do
local exp_3416 = quotRemAbs_2639({words_2807, words_PRIME_2806})
local q_2810 = exp_3416[1]
local r_2811 = exp_3416[2]
q_2809, r_2808 = table_unpack({q_2810, r_2811}, 1, 2)
end
local tmp201
if q_2809.n == 0 then
tmp201 = ZERO_2339
else
tmp201 = POSITIVE_2338(q_2809)
end
local tmp202
if r_2808.n == 0 then
tmp202 = ZERO_2339
else
tmp202 = NEGATIVE_2337(r_2808)
end
return {tmp201, tmp202}
else
_raise(_Match, "int-inf.sml:568:5")
end
end
end
end
end
end
local min_2812 = function(a_2813)
local x_2815 = a_2813[1]
local y_2814 = a_2813[2]
local tmp203 = LT_2539({x_2815, y_2814})
if tmp203 then
return x_2815
else
return y_2814
end
end
local max_2816 = function(a_2817)
local x_2819 = a_2817[1]
local y_2818 = a_2817[2]
local tmp204 = LT_2539({x_2819, y_2818})
if tmp204 then
return y_2818
else
return x_2819
end
end
local sign_2820 = function(a_2821)
if a_2821.tag == "ZERO" then
return 0
elseif a_2821.tag == "POSITIVE" then
return 1
elseif a_2821.tag == "NEGATIVE" then
return -1
else
_raise(_Match, "int-inf.sml:593:5")
end
end
local sameSign_2822 = function(a_2823)
local tmp205
if a_2823[1].tag == "ZERO" then
tmp205 = a_2823[2].tag == "ZERO"
else
tmp205 = false
end
if tmp205 then
return true
else
local tmp206
if a_2823[1].tag == "POSITIVE" then
tmp206 = a_2823[2].tag == "POSITIVE"
else
tmp206 = false
end
if tmp206 then
return true
else
local tmp207
if a_2823[1].tag == "NEGATIVE" then
tmp207 = a_2823[2].tag == "NEGATIVE"
else
tmp207 = false
end
if tmp207 then
return true
else
return false
end
end
end
end
local notb_2824 = function(a_2825)
local tmp208 = fromInt_2345(1)
local a_9616 = add_2502({a_2825, tmp208})
if a_9616.tag == "POSITIVE" then
local words_9618 = a_9616.payload
return NEGATIVE_2337(words_9618)
elseif a_9616.tag == "NEGATIVE" then
local words_9619 = a_9616.payload
return POSITIVE_2338(words_9619)
else
return a_9616
end
end
local fmtHexAbs_2843, toString_2839
do
local ten__to__9_2831 = POSITIVE_2338({ n = 1, 0x3B9ACA00 })
local toStringAbs_2832
toStringAbs_2832 = function(a_2833)
if a_2833.tag == "ZERO" then
return ""
else
local tmp209 = LT_2539({a_2833, ten__to__9_2831})
if tmp209 then
local a_9641
do
local tmp_10550 = "%u"
local x_9658 = toInt_2340(a_2833)
local a_9659
do
local x_9662 = x_9658
a_9659 = x_9662
end
local x_9664 = a_9659
local tmp_10549 = x_9664
a_9641 = {tmp_10550, tmp_10549}
end
local f_9643 = a_9641[1]
local x_9644 = a_9641[2]
local a_9645
do
local tmp_10551, tmp_10552
do
local a_9647 = f_9643
local x_9649 = a_9647
local a_9650 = x_9644
local x_9652 = a_9650
tmp_10552 = table_pack(string_format(x_9649, x_9652))
tmp_10551 = 0
end
a_9645 = tmp_10552[tmp_10551 + 1]
end
local x_9657 = a_9645
return x_9657
else
local q_2836, r_2835
do
local exp_3424 = quotRem_2785({a_2833, ten__to__9_2831})
local q_2837 = exp_3424[1]
local r_2838 = exp_3424[2]
q_2836, r_2835 = table_unpack({q_2837, r_2838}, 1, 2)
end
local a_9665
do
local tmp_10558 = toStringAbs_2832(q_2836)
local a_9669
do
local tmp_10554 = "%09u"
local x_9686 = toInt_2340(r_2835)
local a_9687
do
local x_9690 = x_9686
a_9687 = x_9690
end
local x_9692 = a_9687
local tmp_10553 = x_9692
a_9669 = {tmp_10554, tmp_10553}
end
local f_9671 = a_9669[1]
local x_9672 = a_9669[2]
local a_9673
do
local tmp_10555, tmp_10556
do
local a_9675 = f_9671
local x_9677 = a_9675
local a_9678 = x_9672
local x_9680 = a_9678
tmp_10556 = table_pack(string_format(x_9677, x_9680))
tmp_10555 = 0
end
a_9673 = tmp_10556[tmp_10555 + 1]
end
local x_9685 = a_9673
local tmp_10557 = x_9685
a_9665 = {tmp_10558, tmp_10557}
end
local x_9667 = a_9665[1]
local y_9668 = a_9665[2]
return x_9667 .. y_9668
end
end
end
toString_2839 = function(a_2840)
if a_2840.tag == "ZERO" then
return "0"
elseif a_2840.tag == "POSITIVE" then
return toStringAbs_2832(a_2840)
elseif a_2840.tag == "NEGATIVE" then
local words_2842 = a_2840.payload
local tmp_10559, tmp_10560
do
tmp_10560 = "~"
local tmp210 = POSITIVE_2338(words_2842)
tmp_10559 = toStringAbs_2832(tmp210)
end
return tmp_10560 .. tmp_10559
else
_raise(_Match, "int-inf.sml:616:5")
end
end
fmtHexAbs_2843 = function(a_2844)
local n_2846 = a_2844.n
local last_2847
do
local tmp_10562
do
local tmp_10561 = 1
tmp_10562 = __Int_sub(n_2846, tmp_10561)
end
last_2847 = a_2844[tmp_10562 + 1]
end
local lasts_2848
do
local tmp_10563 = "%X"
local a_9719
do
local tmp_10564, tmp_10565
do
local x_9723 = tmp_10563
local x_9726 = last_2847
tmp_10565 = table_pack(string_format(x_9723, x_9726))
tmp_10564 = 0
end
a_9719 = tmp_10565[tmp_10564 + 1]
end
local x_9731 = a_9719
lasts_2848 = x_9731
end
local middlefmt_2849
do
local tmp_10569, tmp_10570
do
local tmp_10567, tmp_10568
do
tmp_10568 = "%0"
local tmp_10566 = 4
local tmp211 = __Int_div(wordSize_1007, tmp_10566)
tmp_10567 = toString_992(tmp211)
end
tmp_10570 = tmp_10568 .. tmp_10567
tmp_10569 = "X"
end
middlefmt_2849 = tmp_10570 .. tmp_10569
end
local loop_2850
loop_2850 = function(a_2851)
local xs_2853 = a_2851[1]
local tmp_10572
do
local tmp_10571 = 1
tmp_10572 = __Int_sub(n_2846, tmp_10571)
end
local x_9746 = a_2851[2]
if x_9746 >= tmp_10572 then
return _cons({lasts_2848, xs_2853})
else
local tmp_10573
do
local i_9776 = a_2851[2]
tmp_10573 = a_2844[i_9776 + 1]
end
local a_9756
do
local tmp_10574, tmp_10575
do
local x_9760 = middlefmt_2849
local x_9763 = tmp_10573
tmp_10575 = table_pack(string_format(x_9760, x_9763))
tmp_10574 = 0
end
a_9756 = tmp_10575[tmp_10574 + 1]
end
local x_9768 = a_9756
local tmp212 = _cons({x_9768, xs_2853})
local tmp_10576 = 1
local x_9779 = a_2851[2]
local tmp213 = __Int_add(x_9779, tmp_10576)
return loop_2850({tmp212, tmp213})
end
end
local a_9781 = loop_2850({_nil, 0})
local a_9785 = _VectorOrArray_fromList(a_9781)
local x_9787 = a_9785
local result_9784 = table_pack(concat_688(x_9787))
local a_9788 = sub_547({result_9784, 0})
local x_9790 = a_9788
return x_9790
end
end
local fmt_2854 = function(a_2855)
return function(a_2856)
if a_2855.tag == "BIN" then
local tmp214 = _Fail("StringCvt.BIN: not implemented yet")
_raise(tmp214, "int-inf.sml:633:27")
elseif a_2855.tag == "OCT" then
local tmp215 = _Fail("StringCvt.OCT: not implemented yet")
_raise(tmp215, "int-inf.sml:634:27")
elseif a_2855.tag == "DEC" then
return toString_2839(a_2856)
elseif a_2855.tag == "HEX" then
if a_2856.tag == "ZERO" then
return "0"
elseif a_2856.tag == "POSITIVE" then
local words_2861 = a_2856.payload
return fmtHexAbs_2843(words_2861)
elseif a_2856.tag == "NEGATIVE" then
local words_2862 = a_2856.payload
local tmp_10577, tmp_10578
do
tmp_10578 = "~"
tmp_10577 = fmtHexAbs_2843(words_2862)
end
return tmp_10578 .. tmp_10577
else
_raise(_Match, "int-inf.sml:636:28")
end
else
_raise(_Match, "int-inf.sml:633:5")
end
end
end
local abs_2873 = function(a_2874)
if a_2874.tag == "NEGATIVE" then
local words_2875 = a_2874.payload
return POSITIVE_2338(words_2875)
else
return a_2874
end
end
local _TILDE_2877 = negate_2497
local _LT_EQ_2881 = function(a_2882)
local x_2884 = a_2882[1]
local y_2883 = a_2882[2]
local a_9795 = LT_2539({y_2883, x_2884})
return not a_9795
end
local _GT_2885 = function(a_2886)
local x_2888 = a_2886[1]
local y_2887 = a_2886[2]
return LT_2539({y_2887, x_2888})
end
local _GT_EQ_2889 = function(a_2890)
local x_2892 = a_2890[1]
local y_2891 = a_2890[2]
local a_9798 = LT_2539({x_2892, y_2891})
return not a_9798
end
local IntInf_2901 = {EQUALint_2895, {["*"] = mul_2527, ["+"] = add_2502, ["-"] = sub_2514, ["<"] = LT_2539, ["<<"] = _LT_LT_2588, ["<="] = _LT_EQ_2881, [">"] = _GT_2885, [">="] = _GT_EQ_2889, ["abs"] = abs_2873, ["compare"] = compare_2545, ["div"] = div___2678, ["divMod"] = divMod_2720, ["fmt"] = fmt_2854, ["fromInt"] = fromInt_2345, ["max"] = max_2816, ["maxInt"] = maxInt_2353, ["min"] = min_2812, ["minInt"] = minInt_2351, ["mod"] = mod___2701, ["notb"] = notb_2824, ["precision"] = precision_2349, ["quot"] = quot_2747, ["quotRem"] = quotRem_2785, ["rem"] = rem_2766, ["sameSign"] = sameSign_2822, ["sign"] = sign_2820, ["toInt"] = toInt_2340, ["toString"] = toString_2839, ["~"] = _TILDE_2877, ["~>>"] = _TILDE_GT_GT_2595}}
eq_2902, IntInf_2903 = table_unpack(IntInf_2901, 1, 2)
end
local Rational_3038
do
local gcdLoop_2926
gcdLoop_2926 = function(a_2930)
local x_2932 = a_2930[1]
local y_2931 = a_2930[2]
local tmp216 = IntInf_2903["fromInt"](0)
local tmp217 = eq_2902({y_2931, tmp216})
if tmp217 then
return x_2932
else
local tmp218 = IntInf_2903["rem"]({x_2932, y_2931})
return gcdLoop_2926({y_2931, tmp218})
end
end
local makeRational_2933 = function(a_2934)
local x_2936 = a_2934[1]
local y_2935 = a_2934[2]
local tmp219 = IntInf_2903["fromInt"](0)
local tmp220 = eq_2902({y_2935, tmp219})
if tmp220 then
_raise(_Div, "seki-bernoulli.sml:29:31")
else
local g_2937
do
local x_9803 = a_2934[1]
local y_9804 = a_2934[2]
local tmp221 = IntInf_2903["abs"](x_9803)
local tmp222 = IntInf_2903["abs"](y_9804)
g_2937 = gcdLoop_2926({tmp221, tmp222})
end
local tmp223 = IntInf_2903["fromInt"](0)
local tmp224 = IntInf_2903["<"]({y_2935, tmp223})
if tmp224 then
local tmp225 = IntInf_2903["~"](x_2936)
local tmp226 = IntInf_2903["div"]({tmp225, g_2937})
local tmp227 = IntInf_2903["~"](y_2935)
local tmp228 = IntInf_2903["div"]({tmp227, g_2937})
return {["num"] = tmp226, ["den"] = tmp228}
else
local tmp229 = IntInf_2903["div"]({x_2936, g_2937})
local tmp230 = IntInf_2903["div"]({y_2935, g_2937})
return {["num"] = tmp229, ["den"] = tmp230}
end
end
end
local fromInt_2938 = function(a_2939)
local tmp231 = IntInf_2903["fromInt"](a_2939)
local tmp232 = IntInf_2903["fromInt"](1)
return {["num"] = tmp231, ["den"] = tmp232}
end
local fromIntInf_2941 = function(a_2942)
local tmp233 = IntInf_2903["fromInt"](1)
return {["num"] = a_2942, ["den"] = tmp233}
end
local numerator_2944 = function(tmp_3034)
return tmp_3034["num"]
end
local denominator_2946 = function(tmp_3035)
return tmp_3035["den"]
end
local add_2948 = function(a_2949)
local x_2951 = a_2949[1]
local y_2950 = a_2949[2]
local tmp_9805 = x_2951
local tmp_9806 = y_2950
local tmp234 = IntInf_2903["*"]({tmp_9805["num"], tmp_9806["den"]})
local tmp_9807 = y_2950
local tmp_9808 = x_2951
local tmp235 = IntInf_2903["*"]({tmp_9807["num"], tmp_9808["den"]})
local tmp236 = IntInf_2903["+"]({tmp234, tmp235})
local tmp_9809 = x_2951
local tmp_9810 = y_2950
local tmp237 = IntInf_2903["*"]({tmp_9809["den"], tmp_9810["den"]})
return makeRational_2933({tmp236, tmp237})
end
local sub_2952 = function(a_2953)
local x_2955 = a_2953[1]
local y_2954 = a_2953[2]
local tmp_9811 = x_2955
local tmp_9812 = y_2954
local tmp238 = IntInf_2903["*"]({tmp_9811["num"], tmp_9812["den"]})
local tmp_9813 = y_2954
local tmp_9814 = x_2955
local tmp239 = IntInf_2903["*"]({tmp_9813["num"], tmp_9814["den"]})
local tmp240 = IntInf_2903["-"]({tmp238, tmp239})
local tmp_9815 = x_2955
local tmp_9816 = y_2954
local tmp241 = IntInf_2903["*"]({tmp_9815["den"], tmp_9816["den"]})
return makeRational_2933({tmp240, tmp241})
end
local mul_2956 = function(a_2957)
local x_2959 = a_2957[1]
local y_2958 = a_2957[2]
local tmp_9817 = x_2959
local tmp_9818 = y_2958
local tmp242 = IntInf_2903["*"]({tmp_9817["num"], tmp_9818["num"]})
local tmp_9819 = x_2959
local tmp_9820 = y_2958
local tmp243 = IntInf_2903["*"]({tmp_9819["den"], tmp_9820["den"]})
return makeRational_2933({tmp242, tmp243})
end
local divide_2960 = function(a_2961)
local x_2963 = a_2961[1]
local y_2962 = a_2961[2]
local tmp_9821 = x_2963
local tmp_9822 = y_2962
local tmp244 = IntInf_2903["*"]({tmp_9821["num"], tmp_9822["den"]})
local tmp_9823 = x_2963
local tmp_9824 = y_2962
local tmp245 = IntInf_2903["*"]({tmp_9823["den"], tmp_9824["num"]})
return makeRational_2933({tmp244, tmp245})
end
local abs___2964 = function(a_2965)
local num_2967 = a_2965["num"]
local den_2966 = a_2965["den"]
local tmp246 = IntInf_2903["abs"](num_2967)
return {["num"] = tmp246, ["den"] = den_2966}
end
local negate_2968 = function(a_2969)
local num_2971 = a_2969["num"]
local den_2970 = a_2969["den"]
local tmp247 = IntInf_2903["~"](num_2971)
return {["num"] = tmp247, ["den"] = den_2970}
end
local compare_2972 = function(a_2973)
local x_2975 = a_2973[1]
local y_2974 = a_2973[2]
local tmp_9825 = x_2975
local tmp_9826 = y_2974
local tmp248 = IntInf_2903["*"]({tmp_9825["num"], tmp_9826["den"]})
local tmp_9827 = y_2974
local tmp_9828 = x_2975
local tmp249 = IntInf_2903["*"]({tmp_9827["num"], tmp_9828["den"]})
return IntInf_2903["compare"]({tmp248, tmp249})
end
local _LT_2976 = function(a_2977)
local x_2979 = a_2977[1]
local y_2978 = a_2977[2]
local tmp_9829 = x_2979
local tmp_9830 = y_2978
local tmp250 = IntInf_2903["*"]({tmp_9829["num"], tmp_9830["den"]})
local tmp_9831 = y_2978
local tmp_9832 = x_2979
local tmp251 = IntInf_2903["*"]({tmp_9831["num"], tmp_9832["den"]})
return IntInf_2903["<"]({tmp250, tmp251})
end
local _LT_EQ_2980 = function(a_2981)
local x_2983 = a_2981[1]
local y_2982 = a_2981[2]
local tmp_9833 = x_2983
local tmp_9834 = y_2982
local tmp252 = IntInf_2903["*"]({tmp_9833["num"], tmp_9834["den"]})
local tmp_9835 = y_2982
local tmp_9836 = x_2983
local tmp253 = IntInf_2903["*"]({tmp_9835["num"], tmp_9836["den"]})
return IntInf_2903["<="]({tmp252, tmp253})
end
local _GT_2984 = function(a_2985)
local x_2987 = a_2985[1]
local y_2986 = a_2985[2]
local tmp_9837 = x_2987
local tmp_9838 = y_2986
local tmp254 = IntInf_2903["*"]({tmp_9837["num"], tmp_9838["den"]})
local tmp_9839 = y_2986
local tmp_9840 = x_2987
local tmp255 = IntInf_2903["*"]({tmp_9839["num"], tmp_9840["den"]})
return IntInf_2903[">"]({tmp254, tmp255})
end
local _GT_EQ_2988 = function(a_2989)
local x_2991 = a_2989[1]
local y_2990 = a_2989[2]
local tmp_9841 = x_2991
local tmp_9842 = y_2990
local tmp256 = IntInf_2903["*"]({tmp_9841["num"], tmp_9842["den"]})
local tmp_9843 = y_2990
local tmp_9844 = x_2991
local tmp257 = IntInf_2903["*"]({tmp_9843["num"], tmp_9844["den"]})
return IntInf_2903[">="]({tmp256, tmp257})
end
local toString_2992 = function(a_2993)
local tmp_10581, tmp_10582
do
local tmp_10579, tmp_10580
do
tmp_10580 = IntInf_2903["toString"](a_2993["num"])
tmp_10579 = "/"
end
tmp_10582 = tmp_10580 .. tmp_10579
tmp_10581 = IntInf_2903["toString"](a_2993["den"])
end
return tmp_10582 .. tmp_10581
end
local _PLUS_2995 = add_2948
local _MINUS_2997 = sub_2952
local _ASTER_2999 = mul_2956
local _SLASH_3001 = divide_2960
local abs_3003 = abs___2964
local _TILDE_3005 = negate_2968
local Rational_3036 = {_Record_EQUAL({["num"] = eq_2902, ["den"] = eq_2902}), {["*"] = _ASTER_2999, ["+"] = _PLUS_2995, ["-"] = _MINUS_2997, ["/"] = _SLASH_3001, ["<"] = _LT_2976, ["<="] = _LT_EQ_2980, [">"] = _GT_2984, [">="] = _GT_EQ_2988, ["abs"] = abs_3003, ["compare"] = compare_2972, ["denominator"] = denominator_2946, ["fromInt"] = fromInt_2938, ["fromIntInf"] = fromIntInf_2941, ["makeRational"] = makeRational_2933, ["numerator"] = numerator_2944, ["toString"] = toString_2992, ["~"] = _TILDE_3005}}
local eq_3037
eq_3037, Rational_3038 = table_unpack(Rational_3036, 1, 2)
end
local computeBernoulliNumbers_3009 = function(a_3010)
local tmp258 = Rational_3038["fromInt"](0)
local bern_3012 = _Array_array({a_3010, tmp258})
local tmp259 = Rational_3038["fromInt"](1)
update_1595({bern_3012, 0, tmp259})
local loop_3013
loop_3013 = function(a_3014)
local n_3016 = a_3014[1]
local comb_3015 = a_3014[2]
local x_9857 = a_3014[1]
if x_9857 >= a_3010 then
return nil
else
local tmp_10583, tmp_10584
do
local a_9866 = comb_3015
tmp_10584 = a_9866.n
tmp_10583 = 1
end
local tmp260 = __Int_add(tmp_10584, tmp_10583)
local comb_3017 = _VectorOrArray_tabulate({tmp260, function(k_3018)
local tmp261
if k_3018 == 0 then
tmp261 = true
else
local a_9872 = comb_3015
tmp261 = k_3018 == a_9872.n
end
if tmp261 then
return IntInf_2903["fromInt"](1)
else
local tmp_10585 = 1
local tmp262 = __Int_sub(k_3018, tmp_10585)
local tmp263 = sub_547({comb_3015, tmp262})
local tmp264 = sub_547({comb_3015, k_3018})
return IntInf_2903["+"]({tmp263, tmp264})
end
end})
local sum_3019
do
local s_3020
s_3020 = function(a_3021)
local k_3023 = a_3021[1]
local acc_3022 = a_3021[2]
local x_9881 = a_3021[1]
local y_9882 = a_3014[1]
if x_9881 >= y_9882 then
return acc_3022
else
local tmp_10586 = 1
local x_9885 = a_3021[1]
local tmp265 = __Int_add(x_9885, tmp_10586)
local tmp266 = sub_547({comb_3017, k_3023})
local tmp267 = Rational_3038["fromIntInf"](tmp266)
local tmp268 = sub_1591({bern_3012, k_3023})
local tmp269 = Rational_3038["*"]({tmp267, tmp268})
local tmp270 = Rational_3038["+"]({acc_3022, tmp269})
return s_3020({tmp265, tmp270})
end
end
local tmp271 = Rational_3038["fromInt"](0)
sum_3019 = s_3020({0, tmp271})
end
local tmp_10587 = 1
local x_9889 = a_3014[1]
local tmp272 = __Int_add(x_9889, tmp_10587)
local tmp273 = Rational_3038["fromInt"](tmp272)
local tmp274 = Rational_3038["/"]({sum_3019, tmp273})
local bern__n_3024 = Rational_3038["~"](tmp274)
update_1595({bern_3012, n_3016, bern__n_3024})
local tmp_10588 = 1
local x_9893 = a_3014[1]
local tmp275 = __Int_add(x_9893, tmp_10588)
return loop_3013({tmp275, comb_3017})
end
end
local tmp276 = IntInf_2903["fromInt"](1)
local tmp277 = IntInf_2903["fromInt"](1)
loop_3013({1, { n = 2, tmp276, tmp277 }})
return _VectorOrArray_tabulate({a_3010, function(i_3025)
return sub_1591({bern_3012, i_3025})
end})
end
local rationalToFrac_3028 = function(a_3029)
local num_3031 = Rational_3038["numerator"](a_3029)
local den_3032 = Rational_3038["denominator"](a_3029)
local tmp278 = IntInf_2903["fromInt"](1)
local tmp279 = eq_2902({den_3032, tmp278})
if tmp279 then
local tmp280 = IntInf_2903["sign"](num_3031)
if tmp280 == -1 then
local tmp_10589, tmp_10590
do
tmp_10590 = "-"
local tmp281 = IntInf_2903["~"](num_3031)
tmp_10589 = IntInf_2903["toString"](tmp281)
end
return tmp_10590 .. tmp_10589
else
return IntInf_2903["toString"](num_3031)
end
else
local tmp282 = IntInf_2903["sign"](num_3031)
if tmp282 == -1 then
local tmp_10597, tmp_10598
do
local tmp_10595, tmp_10596
do
local tmp_10593, tmp_10594
do
local tmp_10591, tmp_10592
do
tmp_10592 = "-\\frac{"
local tmp283 = IntInf_2903["~"](num_3031)
tmp_10591 = IntInf_2903["toString"](tmp283)
end
tmp_10594 = tmp_10592 .. tmp_10591
tmp_10593 = "}{"
end
tmp_10596 = tmp_10594 .. tmp_10593
tmp_10595 = IntInf_2903["toString"](den_3032)
end
tmp_10598 = tmp_10596 .. tmp_10595
tmp_10597 = "}"
end
return tmp_10598 .. tmp_10597
else
local tmp_10605, tmp_10606
do
local tmp_10603, tmp_10604
do
local tmp_10601, tmp_10602
do
local tmp_10599, tmp_10600
do
tmp_10600 = "\\frac{"
tmp_10599 = IntInf_2903["toString"](num_3031)
end
tmp_10602 = tmp_10600 .. tmp_10599
tmp_10601 = "}{"
end
tmp_10604 = tmp_10602 .. tmp_10601
tmp_10603 = IntInf_2903["toString"](den_3032)
end
tmp_10606 = tmp_10604 .. tmp_10603
tmp_10605 = "}"
end
return tmp_10606 .. tmp_10605
end
end
end
return {computeBernoulliNumbers = computeBernoulliNumbers_3009, rationalToFrac = rationalToFrac_3028}
Raw
seki-bernoulli.sml
structure Rational :> sig
eqtype rational
val fromInt : Int.int -> rational
val fromIntInf : IntInf.int -> rational
val makeRational : IntInf.int * IntInf.int -> rational
val numerator : rational -> IntInf.int
val denominator : rational -> IntInf.int
val + : rational * rational -> rational
val - : rational * rational -> rational
val * : rational * rational -> rational
val / : rational * rational -> rational
val abs : rational -> rational
val ~ : rational -> rational
val compare : rational * rational -> order
val < : rational * rational -> bool
val <= : rational * rational -> bool
val > : rational * rational -> bool
val >= : rational * rational -> bool
val toString : rational -> string
end = struct
(* invariant: den is strictly positive, gcd (num, den) = 1 *)
type rational = { num : IntInf.int, den : IntInf.int }
fun gcd (x, y) = gcdLoop (IntInf.abs x, IntInf.abs y)
and gcdLoop (x, y) = if y = IntInf.fromInt 0 then
x
else
gcdLoop (y, IntInf.rem (x, y))
fun makeRational (x, y) = if y = IntInf.fromInt 0 then
raise Div
else
let val g = gcd (x, y)
in if y < IntInf.fromInt 0 then
{ num = (~ x) div g, den = (~ y) div g }
else
{ num = x div g, den = y div g }
end
fun fromInt x = { num = IntInf.fromInt x, den = IntInf.fromInt 1 }
fun fromIntInf (x : IntInf.int) = { num = x, den = IntInf.fromInt 1 }
val numerator = #num : rational -> IntInf.int
val denominator = #den : rational -> IntInf.int
fun add (x, y) = makeRational (numerator x * denominator y + numerator y * denominator x, denominator x * denominator y)
fun sub (x, y) = makeRational (numerator x * denominator y - numerator y * denominator x, denominator x * denominator y)
fun mul (x, y) = makeRational (numerator x * numerator y, denominator x * denominator y)
fun divide (x : rational, y : rational) = makeRational (numerator x * denominator y, denominator x * numerator y)
fun abs_ { num, den } = { num = IntInf.abs num, den = den : IntInf.int }
fun negate { num, den } = { num = IntInf.~ num, den = den : IntInf.int }
fun compare (x : rational, y : rational) = IntInf.compare (numerator x * denominator y, numerator y * denominator x)
fun x < y = IntInf.< (numerator x * denominator y, numerator y * denominator x)
fun x <= y = IntInf.<= (numerator x * denominator y, numerator y * denominator x)
fun x > y = IntInf.> (numerator x * denominator y, numerator y * denominator x)
fun x >= y = IntInf.>= (numerator x * denominator y, numerator y * denominator x)
fun toString x = IntInf.toString (numerator x) ^ "/" ^ IntInf.toString (denominator x)
val op + = add
val op - = sub
val op * = mul
val op / = divide
val abs = abs_
val ~ = negate
end
fun computeBernoulliNumbers (limit : int) : Rational.rational vector
= let val bern = Array.array (limit, Rational.fromInt 0)
val () = Array.update (bern, 0, Rational.fromInt 1)
val () = let fun loop (n, comb) = if n >= limit then
()
else
let val comb = Vector.tabulate (Vector.length comb + 1, fn k => if k = 0 orelse k = Vector.length comb then
IntInf.fromInt 1
else
Vector.sub (comb, k - 1) + Vector.sub (comb, k)
)
val sum = let fun s (k, acc) = if k >= n then
acc
else
s (k + 1, Rational.+ (acc, Rational.* (Rational.fromIntInf (Vector.sub (comb, k)), Array.sub (bern, k))))
in s (0, Rational.fromInt 0)
end
val bern_n = Rational.~ (Rational./ (sum, Rational.fromInt (n + 1)))
in Array.update (bern, n, bern_n)
; loop (n + 1, comb)
end
in loop (1, vector [IntInf.fromInt 1, IntInf.fromInt 1])
end
in Vector.tabulate (limit, fn i => Array.sub (bern, i))
end
structure export = struct
val computeBernoulliNumbers = computeBernoulliNumbers
fun rationalToFrac (x : Rational.rational) : string = let val num = Rational.numerator x
val den = Rational.denominator x
in if den = IntInf.fromInt 1 then
if IntInf.sign num = ~1 then
"-" ^ IntInf.toString (~ num)
else
IntInf.toString num
else
if IntInf.sign num = ~1 then
"-\\frac{" ^ IntInf.toString (~ num) ^ "}{" ^ IntInf.toString den ^ "}"
else
"\\frac{" ^ IntInf.toString num ^ "}{" ^ IntInf.toString den ^ "}"
end
end
Raw
seki-bernoulli.tex
\documentclass{article}
\usepackage{amsmath}
\usepackage{luacode}
\begin{document}
\allowdisplaybreaks
\begin{luacode*}
local M = require "seki-bernoulli"
local N = 100
local bern = M.computeBernoulliNumbers(N)
tex.print("\\begin{align*}")
for i = 0, N-1 do
local frac = M.rationalToFrac(bern[i+1])
local lineterm
if i == N-1 then
lineterm = ""
else
lineterm = "\\\\"
end
tex.print(string.format("B_{%i}&={%s}%s",i,frac,lineterm))
end
tex.print("\\end{align*}")
\end{luacode*}
\end{document}
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