I hate this stupid fucking language
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7a407fcfe4
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8516a022e6
3 changed files with 6 additions and 18 deletions
4
l1/2.jl
4
l1/2.jl
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@ -11,9 +11,7 @@ using the following expression: `3(4/3 - 1) - 1`.
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# Arguments
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- `T`: the floating point type
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"""
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function kahanmacheps(T::Type{<: AbstractFloat})::T
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return T(3) * ((T(4) / T(3)) - one(T)) - one(T)
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end
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kahanmacheps(T::Type{<: AbstractFloat})::T = T(3) * ((T(4) / T(3)) - one(T)) - one(T)
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for T::Type{<: AbstractFloat} in [Float16, Float32, Float64]
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println("kahanmacheps($T): $(kahanmacheps(T))")
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8
l1/6.jl
8
l1/6.jl
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@ -10,9 +10,7 @@ Calculate `sqrt(x^2 + 1) - 1`.
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# Arguments
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- `x::Float64`: function argument
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"""
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function f(x::Float64)::Float64
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return sqrt(x^2 + one(Float64)) - one(Float64)
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end
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f(x::Float64)::Float64 = sqrt(x^2 + one(Float64)) - one(Float64)
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"""
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g(x::Float64)::Float64
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@ -22,9 +20,7 @@ Calculate `x^2 / (sqrt(x^2 + 1) + 1)`.
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# Arguments
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- `x::Float64`: function argument
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"""
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function g(x::Float64)::Float64
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return x^2 / (sqrt(x^2 + one(Float64)) + one(Float64))
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end
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g(x::Float64)::Float64 = x^2 / (sqrt(x^2 + one(Float64)) + one(Float64))
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for i::Int in 1:20
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x::Float64 = 8.0^(-i)
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12
l1/7.jl
12
l1/7.jl
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@ -10,9 +10,7 @@ Calculate `sin(x) + cos(3x)`.
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# Arguments
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- `x::Float64`: function argument
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"""
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function f(x::Float64)::Float64
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return sin(x) + cos(Float64(3) * x)
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end
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f(x::Float64)::Float64 = sin(x) + cos(Float64(3) * x)
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"""
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fderivative(x::Float64)::Float64
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@ -22,9 +20,7 @@ Calculate the derivative of `sin(x) + cos(3x)`, `cos(x) - 3sin(3x)`.
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# Arguments
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- `x::Float64`: function argument
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"""
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function fderivative(x::Float64)::Float64
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return cos(x) - Float64(3) * sin(Float64(3) * x)
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end
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fderivative(x::Float64)::Float64 = cos(x) - Float64(3) * sin(Float64(3) * x)
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"""
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derivative(f::Function, x0::Float64, h::Float64)::Float64
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@ -37,9 +33,7 @@ using `h` in the following formula: `(f(x0 + h) - f(x0)) / h`.
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- `x0::Float64`: function argument
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- `h::Float64`: value used in the approximation formula
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"""
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function derivative(f::Function, x0::Float64, h::Float64)::Float64
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return (f(x0 + h) - f(x0)) / h
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end
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derivative(f::Function, x0::Float64, h::Float64)::Float64 = (f(x0 + h) - f(x0)) / h
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x::Float64 = one(Float64)
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