151 lines
3.9 KiB
Julia
Executable file
151 lines
3.9 KiB
Julia
Executable file
#!/usr/bin/env julia
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# Jacek Poziemski 272389
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"""
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sumvectorsforwards(x::Vector{T}, y::Vector{T})::T where T <: AbstractFloat
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Calculate the scalar sum of `x` and `y`,
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going from the first element to the last.
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# Arguments
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- `x::Vector{T}`: first of the 2 vectors
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- `y::Vector{T}`: second of the 2 vectors
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"""
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function sumvectorsforwards(x::Vector{T}, y::Vector{T})::T where T <: AbstractFloat
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s::T = zero(T)
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for i::Int in 1:(length(x))
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s += x[i] * y[i]
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end
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return s
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end
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"""
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sumvectorsbackwards(x::Vector{T}, y::Vector{T})::T where T <: AbstractFloat
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Calculate the scalar sum of `x` and `y`,
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going from the last element to the first.
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# Arguments
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- `x::Vector{T}`: first of the 2 vectors
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- `y::Vector{T}`: second of the 2 vectors
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"""
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function sumvectorsbackwards(x::Vector{T}, y::Vector{T})::T where T <: AbstractFloat
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s::T = zero(T)
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for i::Int in (length(x)):-1:1
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s += x[i] * y[i]
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end
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return s
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end
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"""
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sumvectorsdecreasing(x::Vector{T}, y::Vector{T})::T where T <: AbstractFloat
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Calculate the scalar sum of `x` and `y` by calculating
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the partial sums of positive and negative numbers,
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summing up the partial sums using a decreasing order
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according to their absolute values.
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# Arguments
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- `x::Vector{T}`: first of the 2 vectors
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- `y::Vector{T}`: second of the 2 vectors
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"""
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function sumvectorsdecreasing(x::Vector{T}, y::Vector{T})::T where T <: AbstractFloat
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s::Vector{T} = zeros(T, length(x))
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for i::Int in 1:(length(x))
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s[i] = x[i] * y[i]
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end
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spos::Vector{T} = s[s .> zero(T)]
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sort!(spos, rev = true)
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sneg::Vector{T} = s[s .<= zero(T)]
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sort!(sneg)
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neg::T = zero(T)
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for x::T in sneg
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neg += x
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end
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pos::T = zero(T)
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for x::T in spos
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pos += x
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end
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return pos + neg
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end
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"""
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sumvectorsincreasing(x::Vector{T}, y::Vector{T})::T where T <: AbstractFloat
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Calculate the scalar sum of `x` and `y` by calculating
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the partial sums of positive and negative numbers,
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summing up the partial sums using an increasing order
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according to their absolute values.
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# Arguments
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- `x::Vector{T}`: first of the 2 vectors
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- `y::Vector{T}`: second of the 2 vectors
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"""
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function sumvectorsincreasing(x::Vector{T}, y::Vector{T})::T where T <: AbstractFloat
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s::Vector{T} = zeros(T, length(x))
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for i::Int in 1:(length(x))
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s[i] = x[i] * y[i]
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end
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spos::Vector{T} = s[s .> zero(T)]
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sort!(spos)
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sneg::Vector{T} = s[s .<= zero(T)]
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sort!(sneg, rev = true)
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neg::T = zero(T)
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for x::T in sneg
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neg += x
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end
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pos::T = zero(T)
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for x::T in spos
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pos += x
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end
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return pos + neg
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end
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x32::Vector{Float32} = [2.718281828, −3.141592654, 1.414213562, 0.577215664, 0.301029995]
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y32::Vector{Float32} = [1486.2497, 878366.9879, −22.37492, 4773714.647, 0.000185049]
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x64::Vector{Float64} = [2.718281828, −3.141592654, 1.414213562, 0.577215664, 0.301029995]
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y64::Vector{Float64} = [1486.2497, 878366.9879, −22.37492, 4773714.647, 0.000185049]
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expected::Float64 = −1.00657107000000 * 10^(−11)
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res::Float64 = sumvectorsforwards(x32, y32)
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println("summing x32 and y32 forwards: $res; correct: $(res == expected)")
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res = sumvectorsbackwards(x32, y32)
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println("summing x32 and y32 backwards: $res; correct: $(res == expected)")
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res = sumvectorsdecreasing(x32, y32)
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println("summing x32 and y32 decreasing: $res; correct: $(res == expected)")
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res = sumvectorsincreasing(x32, y32)
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println("summing x32 and y32 increasing: $res; correct: $(res == expected)")
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res = sumvectorsforwards(x64, y64)
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println("summing x64 and y64 forwards: $res; correct: $(res == expected)")
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res = sumvectorsbackwards(x64, y64)
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println("summing x64 and y64 backwards: $res; correct: $(res == expected)")
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res = sumvectorsdecreasing(x64, y64)
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println("summing x64 and y64 decreasing: $res; correct: $(res == expected)")
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res = sumvectorsincreasing(x64, y64)
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println("summing x64 and y64 increasing: $res; correct: $(res == expected)")
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