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README.md

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# ShallowWaters.jl - A type-flexible 16-bit shallow water model
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[![CI](https://github.com/milankl/ShallowWaters.jl/actions/workflows/CI.yml/badge.svg)](https://github.com/milankl/ShallowWaters.jl/actions/workflows/CI.yml)
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[![DOI](https://zenodo.org/badge/132787050.svg)](https://zenodo.org/badge/latestdoi/132787050)
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![sst](figs/sst_posit16.png?raw=true "SST")
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![sst](figs/isambard_float16.png?raw=true "Float16 simulation with ShallowWaters.jl on Isambard's A64FX")
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A shallow water model with a focus on type-flexibility and 16-bit number formats. ShallowWaters allows for Float64/32/16,
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[Posit32/16/8](https://github.com/milankl/SoftPosit.jl), [BFloat16](https://github.com/JuliaComputing/BFloat16s.jl),

figs/isambard_float16.png

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src/interpolations.jl

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""" Linear interpolation a variable u in the y-direction.
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m,n = size(uy) must be m,n+1 = size(u)."""
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function Iy!(uy::Matrix{T},u::Matrix{2}) where {T<:AbstractFloat}
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function Iy!(uy::Matrix{T},u::Matrix{T}) where {T<:AbstractFloat}
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m,n = size(uy)
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@boundscheck (m,n+1) == size(u) || throw(BoundsError())
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