/
array.jl
1475 lines (1309 loc) · 38.7 KB
/
array.jl
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## array.jl: Dense arrays
typealias Vector{T} Array{T,1}
typealias Matrix{T} Array{T,2}
typealias VecOrMat{T} Union(Vector{T}, Matrix{T})
typealias DenseVector{T} DenseArray{T,1}
typealias DenseMatrix{T} DenseArray{T,2}
typealias DenseVecOrMat{T} Union(DenseVector{T}, DenseMatrix{T})
typealias StridedArray{T,N,A<:DenseArray} Union(DenseArray{T,N}, SubArray{T,N,A})
typealias StridedVector{T,A<:DenseArray} Union(DenseArray{T,1}, SubArray{T,1,A})
typealias StridedMatrix{T,A<:DenseArray} Union(DenseArray{T,2}, SubArray{T,2,A})
typealias StridedVecOrMat{T} Union(StridedVector{T}, StridedMatrix{T})
## Basic functions ##
size(a::Array) = arraysize(a)
size(a::Array, d) = arraysize(a, d)
size(a::Matrix) = (arraysize(a,1), arraysize(a,2))
length(a::Array) = arraylen(a)
elsize{T}(a::Array{T}) = isbits(T) ? sizeof(T) : sizeof(Ptr)
sizeof(a::Array) = elsize(a) * length(a)
strides{T}(a::Array{T,1}) = (1,)
strides{T}(a::Array{T,2}) = (1, size(a,1))
strides{T}(a::Array{T,3}) = (1, size(a,1), size(a,1)*size(a,2))
isassigned(a::Array, i::Int...) = isdefined(a, i...)
## copy ##
function unsafe_copy!{T}(dest::Ptr{T}, src::Ptr{T}, N)
ccall(:memmove, Ptr{Void}, (Ptr{Void}, Ptr{Void}, UInt),
dest, src, N*sizeof(T))
return dest
end
function unsafe_copy!{T}(dest::Array{T}, dsto, src::Array{T}, so, N)
if isbits(T)
unsafe_copy!(pointer(dest, dsto), pointer(src, so), N)
else
for i=0:N-1
@inbounds arrayset(dest, src[i+so], i+dsto)
end
end
return dest
end
function copy!{T}(dest::Array{T}, dsto::Integer, src::Array{T}, so::Integer, N::Integer)
if so+N-1 > length(src) || dsto+N-1 > length(dest) || dsto < 1 || so < 1
throw(BoundsError())
end
unsafe_copy!(dest, dsto, src, so, N)
end
copy!{T}(dest::Array{T}, src::Array{T}) = copy!(dest, 1, src, 1, length(src))
function reinterpret{T,S}(::Type{T}, a::Array{S,1})
nel = int(div(length(a)*sizeof(S),sizeof(T)))
# TODO: maybe check that remainder is zero?
return reinterpret(T, a, (nel,))
end
function reinterpret{T,S}(::Type{T}, a::Array{S})
if sizeof(S) != sizeof(T)
error("result shape not specified")
end
reinterpret(T, a, size(a))
end
function reinterpret{T,S,N}(::Type{T}, a::Array{S}, dims::NTuple{N,Int})
if !isbits(T)
error("cannot reinterpret to type ", T)
end
if !isbits(S)
error("cannot reinterpret Array of type ", S)
end
nel = div(length(a)*sizeof(S),sizeof(T))
if prod(dims) != nel
throw(DimensionMismatch("new dimensions $(dims) must be consistent with array size $(nel)"))
end
ccall(:jl_reshape_array, Array{T,N}, (Any, Any, Any), Array{T,N}, a, dims)
end
# reshaping to same # of dimensions
function reshape{T,N}(a::Array{T,N}, dims::NTuple{N,Int})
if prod(dims) != length(a)
throw(DimensionMismatch("new dimensions $(dims) must be consistent with array size $(length(a))"))
end
if dims == size(a)
return a
end
ccall(:jl_reshape_array, Array{T,N}, (Any, Any, Any), Array{T,N}, a, dims)
end
# reshaping to different # of dimensions
function reshape{T,N}(a::Array{T}, dims::NTuple{N,Int})
if prod(dims) != length(a)
throw(DimensionMismatch("new dimensions $(dims) must be consistent with array size $(length(a))"))
end
ccall(:jl_reshape_array, Array{T,N}, (Any, Any, Any), Array{T,N}, a, dims)
end
## Constructors ##
similar(a::Array, T, dims::Dims) = Array(T, dims)
similar{T}(a::Array{T,1}) = Array(T, size(a,1))
similar{T}(a::Array{T,2}) = Array(T, size(a,1), size(a,2))
similar{T}(a::Array{T,1}, dims::Dims) = Array(T, dims)
similar{T}(a::Array{T,1}, m::Int) = Array(T, m)
similar{T}(a::Array{T,1}, S) = Array(S, size(a,1))
similar{T}(a::Array{T,2}, dims::Dims) = Array(T, dims)
similar{T}(a::Array{T,2}, m::Int) = Array(T, m)
similar{T}(a::Array{T,2}, S) = Array(S, size(a,1), size(a,2))
# T[x...] constructs Array{T,1}
function getindex(T::NonTupleType, vals...)
a = Array(T,length(vals))
for i = 1:length(vals)
a[i] = vals[i]
end
return a
end
function getindex(::Type{Any}, vals::ANY...)
a = Array(Any,length(vals))
for i = 1:length(vals)
a[i] = vals[i]
end
return a
end
getindex(T::(Type...)) = Array(T,0)
# T[a:b] and T[a:s:b] also construct typed ranges
function getindex{T<:Union(Char,Number)}(::Type{T}, r::Range)
copy!(Array(T,length(r)), r)
end
function getindex{T<:Union(Char,Number)}(::Type{T}, r1::Range, rs::Range...)
a = Array(T,length(r1)+sum(length,rs))
o = 1
copy!(a, o, r1)
o += length(r1)
for r in rs
copy!(a, o, r)
o += length(r)
end
return a
end
function fill!{T<:Union(Int8,UInt8)}(a::Array{T}, x::Integer)
ccall(:memset, Ptr{Void}, (Ptr{Void}, Int32, Csize_t), a, x, length(a))
return a
end
function fill!{T<:Union(Integer,FloatingPoint)}(a::Array{T}, x)
# note: preserve -0.0 for floats
if isbits(T) && T<:Integer && convert(T,x) == 0
ccall(:memset, Ptr{Void}, (Ptr{Void}, Int32, Csize_t), a,0,length(a)*sizeof(T))
else
for i = 1:length(a)
@inbounds a[i] = x
end
end
return a
end
fill(v, dims::Dims) = fill!(Array(typeof(v), dims), v)
fill(v, dims::Integer...) = fill!(Array(typeof(v), dims...), v)
cell(dims::Integer...) = Array(Any, dims...)
cell(dims::(Integer...)) = Array(Any, convert((Int...), dims))
for (fname, felt) in ((:zeros,:zero), (:ones,:one))
@eval begin
($fname)(T::Type, dims...) = fill!(Array(T, dims...), ($felt)(T))
($fname)(dims...) = fill!(Array(Float64, dims...), ($felt)(Float64))
($fname){T}(A::AbstractArray{T}) = fill!(similar(A), ($felt)(T))
end
end
function eye(T::Type, m::Integer, n::Integer)
a = zeros(T,m,n)
for i = 1:min(m,n)
a[i,i] = one(T)
end
return a
end
eye(m::Integer, n::Integer) = eye(Float64, m, n)
eye(T::Type, n::Integer) = eye(T, n, n)
eye(n::Integer) = eye(Float64, n)
eye{T}(x::AbstractMatrix{T}) = eye(T, size(x, 1), size(x, 2))
function one{T}(x::AbstractMatrix{T})
m,n = size(x)
m==n || throw(DimensionMismatch("multiplicative identity defined only for square matrices"))
eye(T, m)
end
linspace(start::Integer, stop::Integer, n::Integer) =
linspace(float(start), float(stop), n)
function linspace(start::Real, stop::Real, n::Integer)
(start, stop) = promote(start, stop)
T = typeof(start)
a = Array(T, int(n))
if n == 1
a[1] = start
return a
end
n -= 1
S = promote_type(T, Float64)
for i=0:n
a[i+1] = start*(convert(S, (n-i))/n) + stop*(convert(S, i)/n)
end
a
end
linspace(start::Real, stop::Real) = linspace(start, stop, 100)
logspace(start::Real, stop::Real, n::Integer) = 10.^linspace(start, stop, n)
logspace(start::Real, stop::Real) = logspace(start, stop, 50)
## Conversions ##
convert{T,n}(::Type{Array{T}}, x::Array{T,n}) = x
convert{T,n}(::Type{Array{T,n}}, x::Array{T,n}) = x
convert{T,n,S}(::Type{Array{T}}, x::Array{S,n}) = convert(Array{T,n}, x)
convert{T,n,S}(::Type{Array{T,n}}, x::Array{S,n}) = copy!(similar(x,T), x)
function collect(T::Type, itr)
if applicable(length, itr)
# when length() isn't defined this branch might pollute the
# type of the other.
a = Array(T,length(itr)::Integer)
i = 0
for x in itr
a[i+=1] = x
end
else
a = Array(T,0)
for x in itr
push!(a,x)
end
end
return a
end
collect(itr) = collect(eltype(itr), itr)
## Indexing: getindex ##
getindex(a::Array) = arrayref(a,1)
getindex(A::Array, i0::Real) = arrayref(A,to_index(i0))
getindex(A::Array, i0::Real, i1::Real) = arrayref(A,to_index(i0),to_index(i1))
getindex(A::Array, i0::Real, i1::Real, i2::Real) =
arrayref(A,to_index(i0),to_index(i1),to_index(i2))
getindex(A::Array, i0::Real, i1::Real, i2::Real, i3::Real) =
arrayref(A,to_index(i0),to_index(i1),to_index(i2),to_index(i3))
getindex(A::Array, i0::Real, i1::Real, i2::Real, i3::Real, i4::Real) =
arrayref(A,to_index(i0),to_index(i1),to_index(i2),to_index(i3),to_index(i4))
getindex(A::Array, i0::Real, i1::Real, i2::Real, i3::Real, i4::Real, i5::Real) =
arrayref(A,to_index(i0),to_index(i1),to_index(i2),to_index(i3),to_index(i4),to_index(i5))
getindex(A::Array, i0::Real, i1::Real, i2::Real, i3::Real, i4::Real, i5::Real, I::Real...) =
arrayref(A,to_index(i0),to_index(i1),to_index(i2),to_index(i3),to_index(i4),to_index(i5),to_index(I)...)
# Fast copy using copy! for UnitRange
function getindex(A::Array, I::UnitRange{Int})
lI = length(I)
X = similar(A, lI)
if lI > 0
copy!(X, 1, A, first(I), lI)
end
return X
end
function getindex{T<:Real}(A::Array, I::AbstractVector{T})
return [ A[i] for i in to_index(I) ]
end
function getindex{T<:Real}(A::Range, I::AbstractVector{T})
return [ A[i] for i in to_index(I) ]
end
function getindex(A::Range, I::AbstractVector{Bool})
checkbounds(A, I)
return [ A[i] for i in to_index(I) ]
end
# logical indexing
function getindex_bool_1d(A::Array, I::AbstractArray{Bool})
checkbounds(A, I)
n = sum(I)
out = similar(A, n)
c = 1
for i = 1:length(I)
if I[i]
out[c] = A[i]
c += 1
end
end
out
end
getindex(A::Vector, I::AbstractVector{Bool}) = getindex_bool_1d(A, I)
getindex(A::Vector, I::AbstractArray{Bool}) = getindex_bool_1d(A, I)
getindex(A::Array, I::AbstractVector{Bool}) = getindex_bool_1d(A, I)
getindex(A::Array, I::AbstractArray{Bool}) = getindex_bool_1d(A, I)
## Indexing: setindex! ##
setindex!{T}(A::Array{T}, x) = arrayset(A, convert(T,x), 1)
setindex!{T}(A::Array{T}, x, i0::Real) = arrayset(A, convert(T,x), to_index(i0))
setindex!{T}(A::Array{T}, x, i0::Real, i1::Real) =
arrayset(A, convert(T,x), to_index(i0), to_index(i1))
setindex!{T}(A::Array{T}, x, i0::Real, i1::Real, i2::Real) =
arrayset(A, convert(T,x), to_index(i0), to_index(i1), to_index(i2))
setindex!{T}(A::Array{T}, x, i0::Real, i1::Real, i2::Real, i3::Real) =
arrayset(A, convert(T,x), to_index(i0), to_index(i1), to_index(i2), to_index(i3))
setindex!{T}(A::Array{T}, x, i0::Real, i1::Real, i2::Real, i3::Real, i4::Real) =
arrayset(A, convert(T,x), to_index(i0), to_index(i1), to_index(i2), to_index(i3), to_index(i4))
setindex!{T}(A::Array{T}, x, i0::Real, i1::Real, i2::Real, i3::Real, i4::Real, i5::Real) =
arrayset(A, convert(T,x), to_index(i0), to_index(i1), to_index(i2), to_index(i3), to_index(i4), to_index(i5))
setindex!{T}(A::Array{T}, x, i0::Real, i1::Real, i2::Real, i3::Real, i4::Real, i5::Real, I::Real...) =
arrayset(A, convert(T,x), to_index(i0), to_index(i1), to_index(i2), to_index(i3), to_index(i4), to_index(i5), to_index(I)...)
function setindex!{T<:Real}(A::Array, x, I::AbstractVector{T})
for i in I
A[i] = x
end
return A
end
function setindex!{T}(A::Array{T}, X::Array{T}, I::UnitRange{Int})
if length(X) != length(I)
throw_setindex_mismatch(X, (I,))
end
copy!(A, first(I), X, 1, length(I))
return A
end
function setindex!{T<:Real}(A::Array, X::AbstractArray, I::AbstractVector{T})
if length(X) != length(I)
throw_setindex_mismatch(X, (I,))
end
count = 1
if is(X,A)
X = copy(X)
end
for i in I
A[i] = X[count]
count += 1
end
return A
end
# logical indexing
function assign_bool_scalar_1d!(A::Array, x, I::AbstractArray{Bool})
checkbounds(A, I)
for i = 1:length(I)
if I[i]
A[i] = x
end
end
A
end
function assign_bool_vector_1d!(A::Array, X::AbstractArray, I::AbstractArray{Bool})
checkbounds(A, I)
c = 1
for i = 1:length(I)
if I[i]
A[i] = X[c]
c += 1
end
end
if length(X) != c-1
throw(DimensionMismatch("assigned $(length(X)) elements to length $(c-1) destination"))
end
A
end
setindex!(A::Array, X::AbstractArray, I::AbstractVector{Bool}) = assign_bool_vector_1d!(A, X, I)
setindex!(A::Array, X::AbstractArray, I::AbstractArray{Bool}) = assign_bool_vector_1d!(A, X, I)
setindex!(A::Array, x, I::AbstractVector{Bool}) = assign_bool_scalar_1d!(A, x, I)
setindex!(A::Array, x, I::AbstractArray{Bool}) = assign_bool_scalar_1d!(A, x, I)
# efficiently grow an array
function _growat!(a::Vector, i::Integer, delta::Integer)
n = length(a)
if i < div(n,2)
_growat_beg!(a, i, delta)
else
_growat_end!(a, i, delta)
end
return a
end
function _growat_beg!(a::Vector, i::Integer, delta::Integer)
ccall(:jl_array_grow_beg, Void, (Any, UInt), a, delta)
if i > 1
ccall(:memmove, Ptr{Void}, (Ptr{Void}, Ptr{Void}, Csize_t),
pointer(a, 1), pointer(a, 1+delta), (i-1)*elsize(a))
end
return a
end
function _growat_end!(a::Vector, i::Integer, delta::Integer)
ccall(:jl_array_grow_end, Void, (Any, UInt), a, delta)
n = length(a)
if n >= i+delta
ccall(:memmove, Ptr{Void}, (Ptr{Void}, Ptr{Void}, Csize_t),
pointer(a, i+delta), pointer(a, i), (n-i-delta+1)*elsize(a))
end
return a
end
# efficiently delete part of an array
function _deleteat!(a::Vector, i::Integer, delta::Integer)
n = length(a)
last = i+delta-1
if i-1 < n-last
_deleteat_beg!(a, i, delta)
else
_deleteat_end!(a, i, delta)
end
return a
end
function _deleteat_beg!(a::Vector, i::Integer, delta::Integer)
if i > 1
ccall(:memmove, Ptr{Void}, (Ptr{Void}, Ptr{Void}, Csize_t),
pointer(a, 1+delta), pointer(a, 1), (i-1)*elsize(a))
end
ccall(:jl_array_del_beg, Void, (Any, UInt), a, delta)
return a
end
function _deleteat_end!(a::Vector, i::Integer, delta::Integer)
n = length(a)
if n >= i+delta
ccall(:memmove, Ptr{Void}, (Ptr{Void}, Ptr{Void}, Csize_t),
pointer(a, i), pointer(a, i+delta), (n-i-delta+1)*elsize(a))
end
ccall(:jl_array_del_end, Void, (Any, UInt), a, delta)
return a
end
## Dequeue functionality ##
function push!{T}(a::Array{T,1}, item)
# convert first so we don't grow the array if the assignment won't work
item = convert(T, item)
ccall(:jl_array_grow_end, Void, (Any, UInt), a, 1)
a[end] = item
return a
end
function push!(a::Array{Any,1}, item::ANY)
ccall(:jl_array_grow_end, Void, (Any, UInt), a, 1)
arrayset(a, item, length(a))
return a
end
function append!{T}(a::Array{T,1}, items::AbstractVector)
n = length(items)
ccall(:jl_array_grow_end, Void, (Any, UInt), a, n)
copy!(a, length(a)-n+1, items, 1, n)
return a
end
function prepend!{T}(a::Array{T,1}, items::AbstractVector)
n = length(items)
ccall(:jl_array_grow_beg, Void, (Any, UInt), a, n)
if a === items
copy!(a, 1, items, n+1, n)
else
copy!(a, 1, items, 1, n)
end
return a
end
function resize!(a::Vector, nl::Integer)
l = length(a)
if nl > l
ccall(:jl_array_grow_end, Void, (Any, UInt), a, nl-l)
else
if nl < 0
throw(BoundsError())
end
ccall(:jl_array_del_end, Void, (Any, UInt), a, l-nl)
end
return a
end
function sizehint(a::Vector, sz::Integer)
ccall(:jl_array_sizehint, Void, (Any, UInt), a, sz)
a
end
function pop!(a::Vector)
if isempty(a)
error("array must be non-empty")
end
item = a[end]
ccall(:jl_array_del_end, Void, (Any, UInt), a, 1)
return item
end
function unshift!{T}(a::Array{T,1}, item)
item = convert(T, item)
ccall(:jl_array_grow_beg, Void, (Any, UInt), a, 1)
a[1] = item
return a
end
function shift!(a::Vector)
if isempty(a)
error("array must be non-empty")
end
item = a[1]
ccall(:jl_array_del_beg, Void, (Any, UInt), a, 1)
return item
end
function insert!{T}(a::Array{T,1}, i::Integer, item)
1 <= i <= length(a)+1 || throw(BoundsError())
i == length(a)+1 && return push!(a, item)
item = convert(T, item)
_growat!(a, i, 1)
a[i] = item
return a
end
function deleteat!(a::Vector, i::Integer)
if !(1 <= i <= length(a))
throw(BoundsError())
end
return _deleteat!(a, i, 1)
end
function deleteat!{T<:Integer}(a::Vector, r::UnitRange{T})
n = length(a)
f = first(r)
l = last(r)
if !(1 <= f && l <= n)
throw(BoundsError())
end
return _deleteat!(a, f, length(r))
end
function deleteat!(a::Vector, inds)
n = length(a)
s = start(inds)
done(inds, s) && return a
(p, s) = next(inds, s)
q = p+1
while !done(inds, s)
(i,s) = next(inds, s)
if !(q <= i <= n)
i < q && error("indices must be unique and sorted")
throw(BoundsError())
end
while q < i
@inbounds a[p] = a[q]
p += 1; q += 1
end
q = i+1
end
while q <= n
@inbounds a[p] = a[q]
p += 1; q += 1
end
ccall(:jl_array_del_end, Void, (Any, UInt), a, n-p+1)
return a
end
const _default_splice = []
function splice!(a::Vector, i::Integer, ins=_default_splice)
v = a[i]
m = length(ins)
if m == 0
_deleteat!(a, i, 1)
elseif m == 1
a[i] = ins[1]
else
_growat!(a, i, m-1)
k = 1
for x in ins
a[i+k-1] = x
k += 1
end
end
return v
end
function splice!{T<:Integer}(a::Vector, r::UnitRange{T}, ins=_default_splice)
v = a[r]
m = length(ins)
if m == 0
deleteat!(a, r)
return v
end
n = length(a)
f = first(r)
l = last(r)
d = length(r)
if m < d
delta = d - m
if f-1 < n-l
_deleteat_beg!(a, f, delta)
else
_deleteat_end!(a, l-delta+1, delta)
end
elseif m > d
delta = m - d
if f-1 < n-l
_growat_beg!(a, f, delta)
else
_growat_end!(a, l+1, delta)
end
end
k = 1
for x in ins
a[f+k-1] = x
k += 1
end
return v
end
function empty!(a::Vector)
ccall(:jl_array_del_end, Void, (Any, UInt), a, length(a))
return a
end
## Unary operators ##
function conj!{T<:Number}(A::AbstractArray{T})
for i=1:length(A)
A[i] = conj(A[i])
end
return A
end
for f in (:-, :~, :conj, :sign)
@eval begin
function ($f)(A::StridedArray)
F = similar(A)
for i=1:length(A)
F[i] = ($f)(A[i])
end
return F
end
end
end
(-)(A::StridedArray{Bool}) = reshape([ -A[i] for i=1:length(A) ], size(A))
real(A::StridedArray) = reshape([ real(x) for x in A ], size(A))
imag(A::StridedArray) = reshape([ imag(x) for x in A ], size(A))
real{T<:Real}(x::StridedArray{T}) = x
imag{T<:Real}(x::StridedArray{T}) = zero(x)
function !(A::StridedArray{Bool})
F = similar(A)
for i=1:length(A)
F[i] = !A[i]
end
return F
end
## Binary arithmetic operators ##
promote_array_type{Scalar, Arry}(::Type{Scalar}, ::Type{Arry}) = promote_type(Scalar, Arry)
promote_array_type{S<:Real, A<:FloatingPoint}(::Type{S}, ::Type{A}) = A
promote_array_type{S<:Union(Complex, Real), AT<:FloatingPoint}(::Type{S}, ::Type{Complex{AT}}) = Complex{AT}
promote_array_type{S<:Integer, A<:Integer}(::Type{S}, ::Type{A}) = A
promote_array_type{S<:Integer}(::Type{S}, ::Type{Bool}) = S
./{T<:Integer}(x::Integer, y::StridedArray{T}) =
reshape([ x ./ y[i] for i=1:length(y) ], size(y))
./{T<:Integer}(x::StridedArray{T}, y::Integer) =
reshape([ x[i] ./ y for i=1:length(x) ], size(x))
./{T<:Integer}(x::Integer, y::StridedArray{Complex{T}}) =
reshape([ x ./ y[i] for i=1:length(y) ], size(y))
./{T<:Integer}(x::StridedArray{Complex{T}}, y::Integer) =
reshape([ x[i] ./ y for i=1:length(x) ], size(x))
./{S<:Integer,T<:Integer}(x::Complex{S}, y::StridedArray{T}) =
reshape([ x ./ y[i] for i=1:length(y) ], size(y))
./{S<:Integer,T<:Integer}(x::StridedArray{S}, y::Complex{T}) =
reshape([ x[i] ./ y for i=1:length(x) ], size(x))
# ^ is difficult, since negative exponents give a different type
.^(x::Number, y::StridedArray) =
reshape([ x ^ y[i] for i=1:length(y) ], size(y))
.^(x::StridedArray, y::Number ) =
reshape([ x[i] ^ y for i=1:length(x) ], size(x))
for f in (:+, :-, :div, :mod, :&, :|, :$)
@eval begin
function ($f){S,T}(A::StridedArray{S}, B::StridedArray{T})
F = similar(A, promote_type(S,T), promote_shape(size(A),size(B)))
for i=1:length(A)
@inbounds F[i] = ($f)(A[i], B[i])
end
return F
end
# interaction with Ranges
function ($f){S,T<:Real}(A::StridedArray{S}, B::Range{T})
F = similar(A, promote_type(S,T), promote_shape(size(A),size(B)))
i = 1
for b in B
@inbounds F[i] = ($f)(A[i], b)
i += 1
end
return F
end
function ($f){S<:Real,T}(A::Range{S}, B::StridedArray{T})
F = similar(B, promote_type(S,T), promote_shape(size(A),size(B)))
i = 1
for a in A
@inbounds F[i] = ($f)(a, B[i])
i += 1
end
return F
end
end
end
for f in (:.+, :.-, :.*, :./, :.\, :.%, :.<<, :.>>, :div, :mod, :rem, :&, :|, :$)
@eval begin
function ($f){T}(A::Number, B::StridedArray{T})
F = similar(B, promote_array_type(typeof(A),T))
for i=1:length(B)
@inbounds F[i] = ($f)(A, B[i])
end
return F
end
function ($f){T}(A::StridedArray{T}, B::Number)
F = similar(A, promote_array_type(typeof(B),T))
for i=1:length(A)
@inbounds F[i] = ($f)(A[i], B)
end
return F
end
end
end
# familiar aliases for broadcasting operations of array ± scalar (#7226):
(+)(A::AbstractArray{Bool},x::Bool) = A .+ x
(+)(x::Bool,A::AbstractArray{Bool}) = x .+ A
(-)(A::AbstractArray{Bool},x::Bool) = A .- x
(-)(x::Bool,A::AbstractArray{Bool}) = x .- A
(+)(A::AbstractArray,x::Number) = A .+ x
(+)(x::Number,A::AbstractArray) = x .+ A
(-)(A::AbstractArray,x::Number) = A .- x
(-)(x::Number,A::AbstractArray) = x .- A
# functions that should give an Int result for Bool arrays
for f in (:.+, :.-)
@eval begin
function ($f)(A::Bool, B::StridedArray{Bool})
F = similar(B, Int, size(B))
for i=1:length(B)
@inbounds F[i] = ($f)(A, B[i])
end
return F
end
function ($f)(A::StridedArray{Bool}, B::Bool)
F = similar(A, Int, size(A))
for i=1:length(A)
@inbounds F[i] = ($f)(A[i], B)
end
return F
end
end
end
for f in (:+, :-)
@eval begin
function ($f)(A::StridedArray{Bool}, B::StridedArray{Bool})
F = similar(A, Int, promote_shape(size(A), size(B)))
for i=1:length(A)
@inbounds F[i] = ($f)(A[i], B[i])
end
return F
end
end
end
## promotion to complex ##
function complex{S<:Real,T<:Real}(A::Array{S}, B::Array{T})
if size(A) != size(B); throw(DimensionMismatch("")); end
F = similar(A, typeof(complex(zero(S),zero(T))))
for i=1:length(A)
@inbounds F[i] = complex(A[i], B[i])
end
return F
end
function complex{T<:Real}(A::Real, B::Array{T})
F = similar(B, typeof(complex(A,zero(T))))
for i=1:length(B)
@inbounds F[i] = complex(A, B[i])
end
return F
end
function complex{T<:Real}(A::Array{T}, B::Real)
F = similar(A, typeof(complex(zero(T),B)))
for i=1:length(A)
@inbounds F[i] = complex(A[i], B)
end
return F
end
# use memcmp for lexcmp on byte arrays
function lexcmp(a::Array{UInt8,1}, b::Array{UInt8,1})
c = ccall(:memcmp, Int32, (Ptr{UInt8}, Ptr{UInt8}, UInt),
a, b, min(length(a),length(b)))
c < 0 ? -1 : c > 0 ? +1 : cmp(length(a),length(b))
end
## data movement ##
function slicedim(A::Array, d::Integer, i::Integer)
d_in = size(A)
leading = d_in[1:(d-1)]
d_out = tuple(leading..., 1, d_in[(d+1):end]...)
M = prod(leading)
N = length(A)
stride = M * d_in[d]
B = similar(A, d_out)
index_offset = 1 + (i-1)*M
l = 1
if M==1
for j=0:stride:(N-stride)
B[l] = A[j + index_offset]
l += 1
end
else
for j=0:stride:(N-stride)
offs = j + index_offset
for k=0:(M-1)
B[l] = A[offs + k]
l += 1
end
end
end
return B
end
function flipdim{T}(A::Array{T}, d::Integer)
nd = ndims(A)
sd = d > nd ? 1 : size(A, d)
if sd == 1 || isempty(A)
return copy(A)
end
B = similar(A)
nnd = 0
for i = 1:nd
nnd += int(size(A,i)==1 || i==d)
end
if nnd==nd
# flip along the only non-singleton dimension
for i = 1:sd
B[i] = A[sd+1-i]
end
return B
end
d_in = size(A)
leading = d_in[1:(d-1)]
M = prod(leading)
N = length(A)
stride = M * sd
if M==1
for j = 0:stride:(N-stride)
for i = 1:sd
ri = sd+1-i
B[j + ri] = A[j + i]
end
end
else
if isbits(T) && M>200
for i = 1:sd
ri = sd+1-i
for j=0:stride:(N-stride)
offs = j + 1 + (i-1)*M
boffs = j + 1 + (ri-1)*M
copy!(B, boffs, A, offs, M)
end
end
else
for i = 1:sd
ri = sd+1-i
for j=0:stride:(N-stride)
offs = j + 1 + (i-1)*M
boffs = j + 1 + (ri-1)*M
for k=0:(M-1)
B[boffs + k] = A[offs + k]
end
end
end
end
end
return B
end
function rotl90(A::StridedMatrix)
m,n = size(A)
B = similar(A,(n,m))
for i=1:m, j=1:n
B[n-j+1,i] = A[i,j]
end
return B
end
function rotr90(A::StridedMatrix)
m,n = size(A)
B = similar(A,(n,m))
for i=1:m, j=1:n
B[j,m-i+1] = A[i,j]
end
return B
end
function rot180(A::StridedMatrix)
m,n = size(A)
B = similar(A)
for i=1:m, j=1:n
B[m-i+1,n-j+1] = A[i,j]
end
return B
end
function rotl90(A::AbstractMatrix, k::Integer)
k = mod(k, 4)
k == 1 ? rotl90(A) :
k == 2 ? rot180(A) :
k == 3 ? rotr90(A) : copy(A)
end
rotr90(A::AbstractMatrix, k::Integer) = rotl90(A,-k)
rot180(A::AbstractMatrix, k::Integer) = mod(k, 2) == 1 ? rot180(A) : copy(A)
# note: probably should be StridedVector or AbstractVector
function reverse(A::AbstractVector, s=1, n=length(A))
B = similar(A)
for i = 1:s-1
B[i] = A[i]
end
for i = s:n
B[i] = A[n+s-i]
end
for i = n+1:length(A)
B[i] = A[i]
end
B
end
reverse(v::StridedVector) = (n=length(v); [ v[n-i+1] for i=1:n ])
reverse(v::StridedVector, s, n=length(v)) = reverse!(copy(v), s, n)
function reverse!(v::StridedVector, s=1, n=length(v))
r = n
for i=s:div(s+n-1,2)
v[i], v[r] = v[r], v[i]
r -= 1
end
v
end
function vcat{T}(arrays::Vector{T}...)
n = 0
for a in arrays
n += length(a)
end
arr = Array(T, n)
ptr = pointer(arr)
offset = 0
if isbits(T)
elsz = sizeof(T)
else
elsz = div(WORD_SIZE,8)