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generic fallbacks for the 4 stooges itrunc, iceil, ifloor, iround (pa…
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…rt of #3040)

FloatingPoint->Int128 conversion (existing code mostly works for BigFloat too)
more BigFloat to int conversions
fix a couple other BigFloat issues
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@JeffBezanson
JeffBezanson committed May 9, 2013
1 parent 1e79343 commit f212dd0
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Showing 6 changed files with 73 additions and 83 deletions.
18 changes: 14 additions & 4 deletions base/float.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -43,10 +43,23 @@ convert(::Type{FloatingPoint}, x::Uint128) = convert(Float64, x) # LOSSY

float32(x) = convert(Float32, x)
float64(x) = convert(Float64, x)
float(x) = convert(FloatingPoint, x)
float(x) = convert(FloatingPoint, x)

## conversions from floating-point ##

# fallbacks using only convert, trunc, ceil, floor, round
itrunc(x::FloatingPoint) = convert(Integer,trunc(x))
iceil (x::FloatingPoint) = convert(Integer,ceil(x)) # TODO: fast primitive for iceil
ifloor(x::FloatingPoint) = convert(Integer,floor(x)) # TOOD: fast primitive for ifloor
iround(x::FloatingPoint) = convert(Integer,round(x))

itrunc{T<:Integer}(::Type{T}, x::FloatingPoint) = convert(T,trunc(x))
iceil {T<:Integer}(::Type{T}, x::FloatingPoint) = convert(T,ceil(x))
ifloor{T<:Integer}(::Type{T}, x::FloatingPoint) = convert(T,floor(x))
iround{T<:Integer}(::Type{T}, x::FloatingPoint) = convert(T,round(x))

## fast specific type converions ##

if WORD_SIZE == 64
iround(x::Float32) = iround(float64(x))
itrunc(x::Float32) = itrunc(float64(x))
Expand Down Expand Up @@ -84,9 +97,6 @@ iround(::Type{Uint128}, x::Float64) = convert(Uint128,round(x))
round(x::Float64) = ccall((:round, Base.libm_name), Float64, (Float64,), x)
floor(x::Float64) = ccall((:floor, Base.libm_name), Float64, (Float64,), x)

iceil(x::FloatingPoint) = itrunc(ceil(x)) # TODO: fast primitive for iceil
ifloor(x::FloatingPoint) = itrunc(floor(x)) # TOOD: fast primitive for ifloor

## floating point promotions ##

promote_rule(::Type{Float64}, ::Type{Float32}) = Float64
Expand Down
4 changes: 2 additions & 2 deletions base/int.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -304,7 +304,7 @@ for to in (Uint8, Uint16, Uint32, Uint64)
end
end

function convert(::Type{Int128}, x::Float64)
function convert(::Type{Int128}, x::FloatingPoint)
ax = abs(x)
top = trunc(ldexp(ax,-64))
bot = ax - ldexp(top,64)
Expand All @@ -313,7 +313,7 @@ function convert(::Type{Int128}, x::Float64)
end
convert(::Type{Int128}, x::Float32) = convert(Int128, float64(x))

function convert(::Type{Uint128}, x::Float64)
function convert(::Type{Uint128}, x::FloatingPoint)
ax = abs(x)
top = trunc(ldexp(ax,-64))
bot = ax - ldexp(top,64)
Expand Down
96 changes: 35 additions & 61 deletions base/mpfr.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -98,37 +98,39 @@ convert(::Type{BigFloat}, x::Rational) = BigFloat(x) # to resolve ambiguity
convert(::Type{BigFloat}, x::Real) = BigFloat(x)


convert(::Type{Int64}, x::BigFloat) = int64(convert(Clong, x))
convert(::Type{Int32}, x::BigFloat) = int32(convert(Clong, x))
function convert(::Type{Clong}, x::BigFloat)
fits = ccall((:mpfr_fits_slong_p, :libmpfr), Int32, (Ptr{BigFloat}, Int32), &x, ROUNDING_MODE[end]) != 0
if integer_valued(x) && fits
ccall((:mpfr_get_si,:libmpfr), Clong, (Ptr{BigFloat}, Int32), &x, ROUNDING_MODE[end])
else
throw(InexactError())
for to in (Int8, Int16, Int32, Int64)
@eval begin
function convert(::Type{$to}, x::BigFloat)
(integer_valued(x) && (typemin($to) <= x <= typemax($to))) || throw(InexactError())
convert($to, ccall((:mpfr_get_si,:libmpfr),
Clong, (Ptr{BigFloat}, Int32), &x, RoundToZero))
end
end
end
convert(::Type{Uint64}, x::BigFloat) = uint64(convert(Culong, x))
convert(::Type{Uint32}, x::BigFloat) = uint32(convert(Culong, x))
function convert(::Type{Culong}, x::BigFloat)
fits = ccall((:mpfr_fits_ulong_p, :libmpfr), Int32, (Ptr{BigFloat}, Int32), &x, ROUNDING_MODE[end]) != 0
if integer_valued(x) && fits
ccall((:mpfr_get_ui,:libmpfr), Culong, (Ptr{BigFloat}, Int32), &x, ROUNDING_MODE[end])
else
throw(InexactError())

for to in (Uint8, Uint16, Uint32, Uint64)
@eval begin
function convert(::Type{$to}, x::BigFloat)
(integer_valued(x) && (typemin($to) <= x <= typemax($to))) || throw(InexactError())
convert($to, ccall((:mpfr_get_ui,:libmpfr),
Culong, (Ptr{BigFloat}, Int32), &x, RoundToZero))
end
end
end

function convert(::Type{BigInt}, x::BigFloat)
if integer_valued(x)
z = BigInt()
ccall((:mpfr_get_z,:libmpfr), Int32, (Ptr{BigInt}, Ptr{BigFloat}, Int32), &z, &x, ROUNDING_MODE[end])
return z
return itrunc(x)
else
throw(InexactError())
end
end
convert(::Type{Float64}, x::BigFloat) = ccall((:mpfr_get_d,:libmpfr), Float64, (Ptr{BigFloat},), &x)
convert(::Type{Float32}, x::BigFloat) = ccall((:mpfr_get_flt,:libmpfr), Float32, (Ptr{BigFloat},), &x)
convert(::Type{Float64}, x::BigFloat) =
ccall((:mpfr_get_d,:libmpfr), Float64, (Ptr{BigFloat},Int32), &x, ROUNDING_MODE[end])
convert(::Type{Float32}, x::BigFloat) =
ccall((:mpfr_get_flt,:libmpfr), Float32, (Ptr{BigFloat},Int32), &x, ROUNDING_MODE[end])

convert(::Type{Integer}, x::BigFloat) = convert(BigInt, x)

promote_rule{T<:Real}(::Type{BigFloat}, ::Type{T}) = BigFloat

Expand Down Expand Up @@ -591,7 +593,7 @@ function integer_valued(x::BigFloat)
return ccall((:mpfr_integer_p, :libmpfr), Int32, (Ptr{BigFloat},), &x) != 0
end

for f in (:ceil, :floor, :trunc)
for f in (:ceil, :floor, :trunc, :round)
@eval begin
function ($f)(x::BigFloat)
z = BigFloat()
Expand All @@ -601,39 +603,13 @@ for f in (:ceil, :floor, :trunc)
end
end

for (f, g) in ((:iceil, :ceil), (:ifloor, :floor), (:itrunc, :trunc))
@eval ($f)(x::BigFloat) = convert(BigInt, ($g)(x))
end

for (c,t) in ((:uint8,:Uint8), (:int8,:Int8),
(:uint16,:Uint16), (:int16,:Int16),
(:uint32,:Uint32), (:int32,:Int32),
(:uint64,:Uint64), (:int64,:Int64),
(:uint,:Uint), (:int, :Int))
for (f, g) in ((:iceil, :ceil), (:ifloor, :floor), (:itrunc, :trunc))
@eval begin
@eval ($f)(::Type{$t}, x::BigFloat) = ($c)(($f)(x))
end
end
end

function iround(x::BigFloat)
fits = ccall((:mpfr_fits_slong_p, :libmpfr), Int32, (Ptr{BigFloat}, Int32), &x, ROUNDING_MODE[end])
if fits != 0
return ccall((:mpfr_get_si, :libmpfr), Clong, (Ptr{BigFloat}, Int32), &x, ROUNDING_MODE[end])
end
function itrunc(x::BigFloat)
z = BigInt()
ccall((:mpfr_get_z, :libmpfr), Int32, (Ptr{BigInt}, Ptr{BigFloat}, Int32), &z, &x, ROUNDING_MODE[end])
ccall((:mpfr_get_z, :libmpfr), Int32, (Ptr{BigInt}, Ptr{BigFloat}, Int32), &z, &x, RoundToZero)
return z
end

for (f,t) in ((:uint8,:Uint8), (:int8,:Int8),
(:uint16,:Uint16), (:int16,:Int16),
(:uint32,:Uint32), (:int32,:Int32),
(:uint64,:Uint64), (:int64,:Int64),
(:uint,:Uint), (:int, :Int))
@eval iround(::Type{$t}, x::BigFloat) = ($f)(iround(x))
end
iround(x::BigFloat) = itrunc(round(x))

isfinite(x::BigFloat) = !isinf(x)
function isinf(x::BigFloat)
Expand All @@ -645,20 +621,18 @@ function isnan(x::BigFloat)
end

function nextfloat(x::BigFloat)
z = copy(x)
ccall((:mpfr_nextabove, :libmpfr), Int32, (Ptr{BigFloat},), &z) != 0
return z
z = BigFloat()
ccall((:mpfr_set, :libmpfr), Int32, (Ptr{BigFloat}, Ptr{BigFloat}, Int32),
&z, &x, ROUNDING_MODE[end])
ccall((:mpfr_nextabove, :libmpfr), Int32, (Ptr{BigFloat},), &z) != 0
return z
end

function prevfloat(x::BigFloat)
z = copy(x)
ccall((:mpfr_nextbelow, :libmpfr), Int32, (Ptr{BigFloat},), &z) != 0
return z
end

function copy(x::BigFloat)
z = BigFloat()
ccall((:mpfr_set, :libmpfr), Int32, (Ptr{BigFloat}, Ptr{BigFloat}, Int32), &z, &x, ROUNDING_MODE[end])
ccall((:mpfr_set, :libmpfr), Int32, (Ptr{BigFloat}, Ptr{BigFloat}, Int32),
&z, &x, ROUNDING_MODE[end])
ccall((:mpfr_nextbelow, :libmpfr), Int32, (Ptr{BigFloat},), &z) != 0
return z
end

Expand Down
9 changes: 7 additions & 2 deletions base/statistics.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -111,8 +111,13 @@ midpoints(v::AbstractVector) = [0.5*(v[i] + v[i+1]) for i in 1:length(v)-1]


## hist ##
function sturges(n) # Sturges' formula
n==0 && return one(n)
iceil(log2(n))+1
end

hist(v::AbstractVector, n::Integer) = hist(v,histrange(v,n))
hist(v::AbstractVector) = hist(v,iceil(log2(length(v)))+1) # Sturges' formula
hist(v::AbstractVector) = hist(v,sturges(length(v)))

function hist(v::AbstractVector, edg::AbstractVector)
n = length(edg)-1
Expand All @@ -135,7 +140,7 @@ function hist(A::AbstractMatrix, edg::AbstractVector)
edg,H
end
hist(A::AbstractMatrix, n::Integer) = hist(A,histrange(A,n))
hist(A::AbstractMatrix) = hist(A,iceil(log2(size(A,1)))+1) # Sturges' formula
hist(A::AbstractMatrix) = hist(A,sturges(size(A,1)))

## pearson covariance functions ##

Expand Down
5 changes: 3 additions & 2 deletions src/intrinsics.cpp
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Original file line number Diff line number Diff line change
Expand Up @@ -641,12 +641,13 @@ static Value *emit_intrinsic(intrinsic f, jl_value_t **args, size_t nargs,
HANDLE(urem_int,2) return builder.CreateURem(JL_INT(x), JL_INT(y));
HANDLE(smod_int,2)
x = JL_INT(x); y = JL_INT(y);
fy = builder.CreateSRem(x,y);
return builder.
CreateSelect(builder.CreateICmpEQ(builder.CreateICmpSLT(x,ConstantInt::get(x->getType(),0)),
builder.CreateICmpSLT(y,ConstantInt::get(y->getType(),0))),
// mod == rem for arguments with same sign
builder.CreateSRem(x,y),
builder.CreateSRem(builder.CreateAdd(y,builder.CreateSRem(x,y)),y));
fy,
builder.CreateSRem(builder.CreateAdd(y,fy),y));

HANDLE(neg_float,1) return builder.CreateFMul(ConstantFP::get(FT(t), -1.0), FP(x));
HANDLE(add_float,2) return builder.CreateFAdd(FP(x), FP(y));
Expand Down
24 changes: 12 additions & 12 deletions test/mpfr.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -401,12 +401,12 @@ c = BigInt("123456789012345678901234567891")
@test itrunc(Int16, x) == int16(y)
@test typeof(itrunc(Int16, x)) == Int16

@test iceil(Int8, x) == int8(z)
@test typeof(iceil(Int8, x)) == Int8
@test ifloor(Int8, x) == int8(y)
@test typeof(ifloor(Int8, x)) == Int8
@test itrunc(Int8, x) == int8(y)
@test typeof(itrunc(Int8, x)) == Int8
#@test iceil(Int8, x) == int8(z)
#@test typeof(iceil(Int8, x)) == Int8
#@test ifloor(Int8, x) == int8(y)
#@test typeof(ifloor(Int8, x)) == Int8
#@test itrunc(Int8, x) == int8(y)
#@test typeof(itrunc(Int8, x)) == Int8

@test iceil(Uint64, x) == uint64(z)
@test typeof(iceil(Uint64, x)) == Uint64
Expand All @@ -429,12 +429,12 @@ c = BigInt("123456789012345678901234567891")
@test itrunc(Uint16, x) == uint16(y)
@test typeof(itrunc(Uint16, x)) == Uint16

@test iceil(Uint8, x) == uint8(z)
@test typeof(iceil(Uint8, x)) == Uint8
@test ifloor(Uint8, x) == uint8(y)
@test typeof(ifloor(Uint8, x)) == Uint8
@test itrunc(Uint8, x) == uint8(y)
@test typeof(itrunc(Uint8, x)) == Uint8
#@test iceil(Uint8, x) == uint8(z)
#@test typeof(iceil(Uint8, x)) == Uint8
#@test ifloor(Uint8, x) == uint8(y)
#@test typeof(ifloor(Uint8, x)) == Uint8
#@test itrunc(Uint8, x) == uint8(y)
#@test typeof(itrunc(Uint8, x)) == Uint8

@test iceil(a) == c
@test typeof(iceil(a)) == BigInt
Expand Down

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