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# This file is a part of Julia. License is MIT: http://julialang.org/license
## integer arithmetic ##
const IntTypes = (Int8, UInt8, Int16, UInt16, Int32, UInt32,
Int64, UInt64, Int128, UInt128)
+(x::Int, y::Int) = box(Int,add_int(unbox(Int,x),unbox(Int,y)))
<(x::Int, y::Int) = slt_int(unbox(Int,x),unbox(Int,y))
for T in IntTypes
@eval begin
-(x::$T) = box($T,neg_int(unbox($T,x)))
if !($T === Int) # don't overwrite definition from line 8
+(x::$T, y::$T) = box($T, add_int(unbox($T,x),unbox($T,y)))
end
-(x::$T, y::$T) = box($T, sub_int(unbox($T,x),unbox($T,y)))
*(x::$T, y::$T) = box($T, mul_int(unbox($T,x),unbox($T,y)))
end
end
/(x::Integer, y::Integer) = float(x)/float(y)
inv(x::Integer) = float(one(x))/float(x)
isodd(n::Integer) = rem(n,2) != 0
iseven(n::Integer) = !isodd(n)
signbit(x::Integer) = x < 0
signbit(x::Unsigned) = false
for T in (Int8,Int16,Int32,Int64,Int128)
@eval flipsign(x::$T, y::$T) = box($T,flipsign_int(unbox($T,x),unbox($T,y)))
end
flipsign(x::Signed, y::Signed) = flipsign(promote(x,y)...)
flipsign(x::Signed, y::Float32) = flipsign(x, reinterpret(Int32,y))
flipsign(x::Signed, y::Float64) = flipsign(x, reinterpret(Int64,y))
flipsign(x::Signed, y::Real) = flipsign(x, -oftype(x,signbit(y)))
copysign(x::Signed, y::Signed) = flipsign(x, x$y)
copysign(x::Signed, y::Float32) = copysign(x, reinterpret(Int32,y))
copysign(x::Signed, y::Float64) = copysign(x, reinterpret(Int64,y))
copysign(x::Signed, y::Real) = copysign(x, -oftype(x,signbit(y)))
abs(x::Unsigned) = x
abs(x::Signed) = flipsign(x,x)
~(n::Integer) = -n-1
unsigned(x::Signed) = reinterpret(typeof(convert(Unsigned,zero(x))), x)
unsigned(x::Bool) = convert(Unsigned, x)
unsigned(x) = convert(Unsigned, x)
signed(x::Unsigned) = reinterpret(typeof(convert(Signed,zero(x))), x)
signed(x) = convert(Signed, x)
div(x::Signed, y::Unsigned) = flipsign(signed(div(unsigned(abs(x)),y)),x)
div(x::Unsigned, y::Signed) = unsigned(flipsign(signed(div(x,unsigned(abs(y)))),y))
rem(x::Signed, y::Unsigned) = flipsign(signed(rem(unsigned(abs(x)),y)),x)
rem(x::Unsigned, y::Signed) = rem(x,unsigned(abs(y)))
fld(x::Signed, y::Unsigned) = div(x,y)-(signbit(x)&(rem(x,y)!=0))
fld(x::Unsigned, y::Signed) = div(x,y)-(signbit(y)&(rem(x,y)!=0))
mod(x::Signed, y::Unsigned) = rem(y+unsigned(rem(x,y)),y)
mod(x::Unsigned, y::Signed) = rem(y+signed(rem(x,y)),y)
cld(x::Signed, y::Unsigned) = div(x,y)+(!signbit(x)&(rem(x,y)!=0))
cld(x::Unsigned, y::Signed) = div(x,y)+(!signbit(y)&(rem(x,y)!=0))
# Don't promote integers for div/rem/mod since there no danger of overflow,
# while there is a substantial performance penalty to 64-bit promotion.
const Signed64Types = (Int8,Int16,Int32,Int64)
const Unsigned64Types = (UInt8,UInt16,UInt32,UInt64)
typealias Integer64 Union{Signed64Types...,Unsigned64Types...}
for T in Signed64Types
@eval div(x::$T, y::$T) = box($T,sdiv_int(unbox($T,x),unbox($T,y)))
@eval rem(x::$T, y::$T) = box($T,srem_int(unbox($T,x),unbox($T,y)))
@eval mod(x::$T, y::$T) = box($T,smod_int(unbox($T,x),unbox($T,y)))
end
for T in Unsigned64Types
@eval div(x::$T, y::$T) = box($T,udiv_int(unbox($T,x),unbox($T,y)))
@eval rem(x::$T, y::$T) = box($T,urem_int(unbox($T,x),unbox($T,y)))
end
mod{T<:Unsigned}(x::T, y::T) = rem(x,y)
fld{T<:Unsigned}(x::T, y::T) = div(x,y)
fld{T<:Integer }(x::T, y::T) = div(x,y)-(signbit(x$y)&(rem(x,y)!=0))
cld{T<:Unsigned}(x::T, y::T) = div(x,y)+(rem(x,y)!=0)
cld{T<:Integer }(x::T, y::T) = div(x,y)+(!signbit(x$y)&(rem(x,y)!=0))
## integer bitwise operations ##
for T in IntTypes
@eval begin
~(x::$T) = box($T,not_int(unbox($T,x)))
(&)(x::$T, y::$T) = box($T,and_int(unbox($T,x),unbox($T,y)))
(|)(x::$T, y::$T) = box($T, or_int(unbox($T,x),unbox($T,y)))
($)(x::$T, y::$T) = box($T,xor_int(unbox($T,x),unbox($T,y)))
end
for S in IntTypes
(S === Int128 || S === UInt128) && continue
@eval begin
<<(x::$T, y::$S) = box($T, shl_int(unbox($T,x),unbox($S,y)))
>>>(x::$T, y::$S) = box($T,lshr_int(unbox($T,x),unbox($S,y)))
end
if issubtype(T,Unsigned)
@eval >>(x::$T, y::$S) = box($T,lshr_int(unbox($T,x),unbox($S,y)))
else
@eval >>(x::$T, y::$S) = box($T,ashr_int(unbox($T,x),unbox($S,y)))
end
end
end
bswap(x::Int8) = x
bswap(x::UInt8) = x
bswap(x::Int16) = box(Int16,bswap_int(unbox(Int16,x)))
bswap(x::UInt16) = box(UInt16,bswap_int(unbox(UInt16,x)))
bswap(x::Int32) = box(Int32,bswap_int(unbox(Int32,x)))
bswap(x::UInt32) = box(UInt32,bswap_int(unbox(UInt32,x)))
bswap(x::Int64) = box(Int64,bswap_int(unbox(Int64,x)))
bswap(x::UInt64) = box(UInt64,bswap_int(unbox(UInt64,x)))
bswap(x::Int128) = box(Int128,bswap_int(unbox(Int128,x)))
bswap(x::UInt128) = box(UInt128,bswap_int(unbox(UInt128,x)))
for T in IntTypes
@eval begin
count_ones(x::$T) = Int(box($T,ctpop_int(unbox($T,x))))
leading_zeros(x::$T) = Int(box($T,ctlz_int(unbox($T,x))))
trailing_zeros(x::$T) = Int(box($T,cttz_int(unbox($T,x))))
end
end
count_zeros( x::Integer) = count_ones(~x)
leading_ones( x::Integer) = leading_zeros(~x)
trailing_ones(x::Integer) = trailing_zeros(~x)
## integer comparisons ##
for T in IntTypes
if issubtype(T,Signed)
if !(T === Int) # don't overwrite definition from line 9
@eval <( x::$T, y::$T) = slt_int(unbox($T,x),unbox($T,y))
end
@eval <=(x::$T, y::$T) = sle_int(unbox($T,x),unbox($T,y))
else
@eval <( x::$T, y::$T) = ult_int(unbox($T,x),unbox($T,y))
@eval <=(x::$T, y::$T) = ule_int(unbox($T,x),unbox($T,y))
end
end
==(x::Signed, y::Unsigned) = (x >= 0) & (unsigned(x) == y)
==(x::Unsigned, y::Signed ) = (y >= 0) & (x == unsigned(y))
<( x::Signed, y::Unsigned) = (x < 0) | (unsigned(x) < y)
<( x::Unsigned, y::Signed ) = (y > 0) & (x < unsigned(y))
<=(x::Signed, y::Unsigned) = (x <= 0) | (unsigned(x) <= y)
<=(x::Unsigned, y::Signed ) = (y >= 0) & (x <= unsigned(y))
## integer conversions ##
for to in tuple(IntTypes...), from in tuple(IntTypes...,Bool)
if !(to === from)
if to.size < from.size
if issubtype(to, Signed)
if issubtype(from, Unsigned)
@eval convert(::Type{$to}, x::($from)) = box($to,checked_trunc_sint($to,check_top_bit(unbox($from,x))))
else
@eval convert(::Type{$to}, x::($from)) = box($to,checked_trunc_sint($to,unbox($from,x)))
end
else
@eval convert(::Type{$to}, x::($from)) = box($to,checked_trunc_uint($to,unbox($from,x)))
end
@eval rem(x::($from), ::Type{$to}) = box($to,trunc_int($to,unbox($from,x)))
elseif from.size < to.size || from === Bool
if issubtype(from, Signed)
if issubtype(to, Unsigned)
@eval convert(::Type{$to}, x::($from)) = box($to,sext_int($to,check_top_bit(unbox($from,x))))
else
@eval convert(::Type{$to}, x::($from)) = box($to,sext_int($to,unbox($from,x)))
end
@eval rem(x::($from), ::Type{$to}) = box($to,sext_int($to,unbox($from,x)))
else
@eval convert(::Type{$to}, x::($from)) = box($to,zext_int($to,unbox($from,x)))
@eval rem(x::($from), ::Type{$to}) = convert($to,x)
end
else
if !(issubtype(from,Signed) === issubtype(to,Signed))
# raise InexactError if x's top bit is set
@eval convert(::Type{$to}, x::($from)) = box($to,check_top_bit(unbox($from,x)))
else
@eval convert(::Type{$to}, x::($from)) = box($to,unbox($from,x))
end
@eval rem(x::($from), ::Type{$to}) = box($to,unbox($from,x))
end
end
end
rem{T<:Integer}(x::T, ::Type{T}) = x
rem(x::Integer, ::Type{Bool}) = ((x&1)!=0)
mod{T<:Integer}(x::Integer, ::Type{T}) = rem(x, T)
for to in (Int8, Int16, Int32, Int64)
@eval begin
convert(::Type{$to}, x::Float32) = box($to,checked_fptosi($to,unbox(Float32,x)))
convert(::Type{$to}, x::Float64) = box($to,checked_fptosi($to,unbox(Float64,x)))
end
end
for to in (UInt8, UInt16, UInt32, UInt64)
@eval begin
convert(::Type{$to}, x::Float32) = box($to,checked_fptoui($to,unbox(Float32,x)))
convert(::Type{$to}, x::Float64) = box($to,checked_fptoui($to,unbox(Float64,x)))
end
end
for Ti in (Int128,UInt128)
for Tf in (Float32,Float64)
@eval function convert(::Type{$Ti},x::$Tf)
isinteger(x) || throw(InexactError())
trunc($Ti,x)
end
end
end
convert(::Type{Signed}, x::UInt8 ) = convert(Int8,x)
convert(::Type{Signed}, x::UInt16 ) = convert(Int16,x)
convert(::Type{Signed}, x::UInt32 ) = convert(Int32,x)
convert(::Type{Signed}, x::UInt64 ) = convert(Int64,x)
convert(::Type{Signed}, x::UInt128) = convert(Int128,x)
convert(::Type{Signed}, x::Float32) = convert(Int,x)
convert(::Type{Signed}, x::Float64) = convert(Int,x)
convert(::Type{Signed}, x::Bool) = convert(Int,x)
convert(::Type{Unsigned}, x::Int8 ) = convert(UInt8,x)
convert(::Type{Unsigned}, x::Int16 ) = convert(UInt16,x)
convert(::Type{Unsigned}, x::Int32 ) = convert(UInt32,x)
convert(::Type{Unsigned}, x::Int64 ) = convert(UInt64,x)
convert(::Type{Unsigned}, x::Int128 ) = convert(UInt128,x)
convert(::Type{Unsigned}, x::Float32) = convert(UInt,x)
convert(::Type{Unsigned}, x::Float64) = convert(UInt,x)
convert(::Type{Unsigned}, x::Bool) = convert(UInt,x)
convert(::Type{Integer}, x::Integer) = x
convert(::Type{Integer}, x::Real) = convert(Signed,x)
round(x::Integer) = x
trunc(x::Integer) = x
floor(x::Integer) = x
ceil(x::Integer) = x
round{T<:Integer}(::Type{T},x::Integer) = convert(T,x)
trunc{T<:Integer}(::Type{T},x::Integer) = convert(T,x)
floor{T<:Integer}(::Type{T},x::Integer) = convert(T,x)
ceil{T<:Integer}(::Type{T},x::Integer) = convert(T,x)
## integer construction ##
macro int128_str(s)
parse(Int128,s)
end
macro uint128_str(s)
parse(UInt128,s)
end
macro big_str(s)
n = tryparse(BigInt,s)
!isnull(n) && return get(n)
n = tryparse(BigFloat,s)
!isnull(n) && return get(n)
message = "invalid number format $s for BigInt or BigFloat"
:(throw(ArgumentError($message)))
end
## system word size ##
const WORD_SIZE = Int(Int.size)*8
## integer promotions ##
promote_rule(::Type{Int16}, ::Type{Int8} ) = Int16
promote_rule(::Type{Int32}, ::Type{Int8} ) = Int32
promote_rule(::Type{Int32}, ::Type{Int16}) = Int32
promote_rule(::Type{Int64}, ::Type{Int8} ) = Int64
promote_rule(::Type{Int64}, ::Type{Int16}) = Int64
promote_rule(::Type{Int64}, ::Type{Int32}) = Int64
promote_rule(::Type{Int128}, ::Type{Int8} ) = Int128
promote_rule(::Type{Int128}, ::Type{Int16}) = Int128
promote_rule(::Type{Int128}, ::Type{Int32}) = Int128
promote_rule(::Type{Int128}, ::Type{Int64}) = Int128
promote_rule(::Type{UInt16}, ::Type{UInt8} ) = UInt16
promote_rule(::Type{UInt32}, ::Type{UInt8} ) = UInt32
promote_rule(::Type{UInt32}, ::Type{UInt16}) = UInt32
promote_rule(::Type{UInt64}, ::Type{UInt8} ) = UInt64
promote_rule(::Type{UInt64}, ::Type{UInt16}) = UInt64
promote_rule(::Type{UInt64}, ::Type{UInt32}) = UInt64
promote_rule(::Type{UInt128}, ::Type{UInt8} ) = UInt128
promote_rule(::Type{UInt128}, ::Type{UInt16}) = UInt128
promote_rule(::Type{UInt128}, ::Type{UInt32}) = UInt128
promote_rule(::Type{UInt128}, ::Type{UInt64}) = UInt128
promote_rule(::Type{UInt8}, ::Type{Int8} ) = Int
promote_rule(::Type{UInt8}, ::Type{Int16} ) = Int
promote_rule(::Type{UInt8}, ::Type{Int32} ) = Int
promote_rule(::Type{UInt8}, ::Type{Int64} ) = Int64
promote_rule(::Type{UInt8}, ::Type{Int128}) = Int128
promote_rule(::Type{UInt16}, ::Type{Int8} ) = Int
promote_rule(::Type{UInt16}, ::Type{Int16} ) = Int
promote_rule(::Type{UInt16}, ::Type{Int32} ) = Int
promote_rule(::Type{UInt16}, ::Type{Int64} ) = Int64
promote_rule(::Type{UInt16}, ::Type{Int128}) = Int128
if WORD_SIZE == 64
promote_rule(::Type{UInt32}, ::Type{Int8} ) = Int
promote_rule(::Type{UInt32}, ::Type{Int16}) = Int
promote_rule(::Type{UInt32}, ::Type{Int32}) = Int
else
promote_rule(::Type{UInt32}, ::Type{Int8} ) = UInt
promote_rule(::Type{UInt32}, ::Type{Int16}) = UInt
promote_rule(::Type{UInt32}, ::Type{Int32}) = UInt
end
promote_rule(::Type{UInt32}, ::Type{Int64} ) = Int64
promote_rule(::Type{UInt32}, ::Type{Int128}) = Int128
promote_rule(::Type{UInt64}, ::Type{Int8} ) = UInt64
promote_rule(::Type{UInt64}, ::Type{Int16} ) = UInt64
promote_rule(::Type{UInt64}, ::Type{Int32} ) = UInt64
promote_rule(::Type{UInt64}, ::Type{Int64} ) = UInt64
promote_rule(::Type{UInt64}, ::Type{Int128}) = Int128
promote_rule(::Type{UInt128}, ::Type{Int8} ) = UInt128
promote_rule(::Type{UInt128}, ::Type{Int16} ) = UInt128
promote_rule(::Type{UInt128}, ::Type{Int32} ) = UInt128
promote_rule(::Type{UInt128}, ::Type{Int64} ) = UInt128
promote_rule(::Type{UInt128}, ::Type{Int128}) = UInt128
## traits ##
typemin(::Type{Int8 }) = Int8(-128)
typemax(::Type{Int8 }) = Int8(127)
typemin(::Type{UInt8 }) = UInt8(0)
typemax(::Type{UInt8 }) = UInt8(255)
typemin(::Type{Int16 }) = Int16(-32768)
typemax(::Type{Int16 }) = Int16(32767)
typemin(::Type{UInt16}) = UInt16(0)
typemax(::Type{UInt16}) = UInt16(65535)
typemin(::Type{Int32 }) = Int32(-2147483648)
typemax(::Type{Int32 }) = Int32(2147483647)
typemin(::Type{UInt32}) = UInt32(0)
typemax(::Type{UInt32}) = UInt32(4294967295)
typemin(::Type{Int64 }) = -9223372036854775808
typemax(::Type{Int64 }) = 9223372036854775807
typemin(::Type{UInt64}) = UInt64(0)
typemax(::Type{UInt64}) = 0xffffffffffffffff
@eval typemin(::Type{UInt128}) = $(UInt128(0))
@eval typemax(::Type{UInt128}) = $(box(UInt128,unbox(Int128,convert(Int128,-1))))
@eval typemin(::Type{Int128} ) = $(convert(Int128,1)<<127)
@eval typemax(::Type{Int128} ) = $(box(Int128,unbox(UInt128,typemax(UInt128)>>1)))
widen(::Type{Int8}) = Int
widen(::Type{Int16}) = Int
widen(::Type{Int32}) = Int64
widen(::Type{Int64}) = Int128
widen(::Type{UInt8}) = UInt
widen(::Type{UInt16}) = UInt
widen(::Type{UInt32}) = UInt64
widen(::Type{UInt64}) = UInt128
# a few special cases,
# Int64*UInt64 => Int128
# |x|<=2^(k-1), |y|<=2^k-1 => |x*y|<=2^(2k-1)-1
widemul(x::Signed,y::Unsigned) = widen(x)*signed(widen(y))
widemul(x::Unsigned,y::Signed) = signed(widen(x))*widen(y)
# multplication by Bool doesn't require widening
widemul(x::Bool,y::Bool) = x*y
widemul(x::Bool,y::Number) = x*y
widemul(x::Number,y::Bool) = x*y
## wide multiplication, Int128 multiply and divide ##
if WORD_SIZE == 32
function widemul(u::Int64, v::Int64)
local u0::UInt64, v0::UInt64, w0::UInt64
local u1::Int64, v1::Int64, w1::UInt64, w2::Int64, t::UInt64
u0 = u&0xffffffff; u1 = u>>32
v0 = v&0xffffffff; v1 = v>>32
w0 = u0*v0
t = reinterpret(UInt64,u1)*v0 + (w0>>>32)
w2 = reinterpret(Int64,t) >> 32
w1 = u0*reinterpret(UInt64,v1) + (t&0xffffffff)
hi = u1*v1 + w2 + (reinterpret(Int64,w1) >> 32)
lo = w0&0xffffffff + (w1 << 32)
Int128(hi)<<64 + Int128(lo)
end
function widemul(u::UInt64, v::UInt64)
local u0::UInt64, v0::UInt64, w0::UInt64
local u1::UInt64, v1::UInt64, w1::UInt64, w2::UInt64, t::UInt64
u0 = u&0xffffffff; u1 = u>>>32
v0 = v&0xffffffff; v1 = v>>>32
w0 = u0*v0
t = u1*v0 + (w0>>>32)
w2 = t>>>32
w1 = u0*v1 + (t&0xffffffff)
hi = u1*v1 + w2 + (w1 >>> 32)
lo = w0&0xffffffff + (w1 << 32)
UInt128(hi)<<64 + UInt128(lo)
end
function *(u::Int128, v::Int128)
u0 = u % UInt64; u1 = Int64(u>>64)
v0 = v % UInt64; v1 = Int64(v>>64)
lolo = widemul(u0, v0)
lohi = widemul(reinterpret(Int64,u0), v1)
hilo = widemul(u1, reinterpret(Int64,v0))
t = reinterpret(UInt128,hilo) + (lolo>>>64)
w1 = reinterpret(UInt128,lohi) + (t&0xffffffffffffffff)
Int128(lolo&0xffffffffffffffff) + reinterpret(Int128,w1)<<64
end
function *(u::UInt128, v::UInt128)
u0 = u % UInt64; u1 = UInt64(u>>>64)
v0 = v % UInt64; v1 = UInt64(v>>>64)
lolo = widemul(u0, v0)
lohi = widemul(u0, v1)
hilo = widemul(u1, v0)
t = hilo + (lolo>>>64)
w1 = lohi + (t&0xffffffffffffffff)
(lolo&0xffffffffffffffff) + UInt128(w1)<<64
end
div(x::Int128, y::Int128) = Int128(div(BigInt(x),BigInt(y)))
div(x::UInt128, y::UInt128) = UInt128(div(BigInt(x),BigInt(y)))
rem(x::Int128, y::Int128) = Int128(rem(BigInt(x),BigInt(y)))
rem(x::UInt128, y::UInt128) = UInt128(rem(BigInt(x),BigInt(y)))
mod(x::Int128, y::Int128) = Int128(mod(BigInt(x),BigInt(y)))
<<( x::Int128, y::Int) = y == 0 ? x : box(Int128,shl_int(unbox(Int128,x),unbox(Int,y)))
<<( x::UInt128, y::Int) = y == 0 ? x : box(UInt128,shl_int(unbox(UInt128,x),unbox(Int,y)))
>>( x::Int128, y::Int) = y == 0 ? x : box(Int128,ashr_int(unbox(Int128,x),unbox(Int,y)))
>>( x::UInt128, y::Int) = y == 0 ? x : box(UInt128,lshr_int(unbox(UInt128,x),unbox(Int,y)))
>>>(x::Int128, y::Int) = y == 0 ? x : box(Int128,lshr_int(unbox(Int128,x),unbox(Int,y)))
>>>(x::UInt128, y::Int) = y == 0 ? x : box(UInt128,lshr_int(unbox(UInt128,x),unbox(Int,y)))
else
*(x::Int128, y::Int128) = box(Int128,mul_int(unbox(Int128,x),unbox(Int128,y)))
*(x::UInt128, y::UInt128) = box(UInt128,mul_int(unbox(UInt128,x),unbox(UInt128,y)))
div(x::Int128, y::Int128) = box(Int128,sdiv_int(unbox(Int128,x),unbox(Int128,y)))
div(x::UInt128, y::UInt128) = box(UInt128,udiv_int(unbox(UInt128,x),unbox(UInt128,y)))
rem(x::Int128, y::Int128) = box(Int128,srem_int(unbox(Int128,x),unbox(Int128,y)))
rem(x::UInt128, y::UInt128) = box(UInt128,urem_int(unbox(UInt128,x),unbox(UInt128,y)))
mod(x::Int128, y::Int128) = box(Int128,smod_int(unbox(Int128,x),unbox(Int128,y)))
end
## checked +, - and *
# requires int arithmetic defined, for the loops to work
for T in (Int8,Int16,Int32,Int64)#,Int128) ## FIXME: #4905
@eval begin
checked_add(x::$T, y::$T) = box($T,checked_sadd(unbox($T,x),unbox($T,y)))
checked_sub(x::$T, y::$T) = box($T,checked_ssub(unbox($T,x),unbox($T,y)))
end
end
for T in (Int16,Int32)
@eval begin
checked_mul(x::$T, y::$T) = box($T,checked_smul(unbox($T,x),unbox($T,y)))
end
end
for T in (UInt8,UInt16,UInt32,UInt64)#,UInt128) ## FIXME: #4905
@eval begin
checked_add(x::$T, y::$T) = box($T,checked_uadd(unbox($T,x),unbox($T,y)))
checked_sub(x::$T, y::$T) = box($T,checked_usub(unbox($T,x),unbox($T,y)))
end
end
for T in (UInt16,UInt32)
@eval begin
checked_mul(x::$T, y::$T) = box($T,checked_umul(unbox($T,x),unbox($T,y)))
end
end
# checked mul is broken for 8-bit types (LLVM bug?) ## FIXME: #4905
for T in (Int8,UInt8)
@eval function checked_mul(x::$T, y::$T)
xy = widemul(x,y)
(typemin($T) <= xy <= typemax($T)) || throw(OverflowError())
return xy % $T
end
end
if WORD_SIZE == 32
for T in (Int64,UInt64)
@eval function checked_mul(x::$T, y::$T)
xy = Int128(x)*Int128(y)
(typemin($T) <= xy <= typemax($T)) || throw(OverflowError())
return xy % $T
end
end
else
checked_mul(x::Int64, y::Int64) = box(Int64,checked_smul(unbox(Int64,x),unbox(Int64,y)))
checked_mul(x::UInt64, y::UInt64) = box(UInt64,checked_umul(unbox(UInt64,x),unbox(UInt64,y)))
end
# checked ops are broken for 128-bit types (LLVM bug) ## FIXME: #4905
checked_add(x::Int128, y::Int128) = x + y
checked_sub(x::Int128, y::Int128) = x - y
checked_mul(x::Int128, y::Int128) = x * y
checked_add(x::UInt128, y::UInt128) = x + y
checked_sub(x::UInt128, y::UInt128) = x - y
checked_mul(x::UInt128, y::UInt128) = x * y
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