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JuliaFEM.jl/src/interpolate.jl
T
2015-08-16 13:33:02 +03:00

54 lines
1.3 KiB
Julia

# This file is a part of JuliaFEM.
# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md
"""
Interpolate field variable using basis functions f for point ip.
This function tries to be as general as possible and allows interpolating
lot of different fields.
Parameters
----------
field :: Array{Number, dim}
Field variable
basis :: Function
Basis functions
ip :: Array{Number, 1}
Point to interpolate
"""
function interpolate{T<:Real}(field::Array{T,1}, basis::Function, ip)
result = dot(field, basis(ip))
return result
end
function interpolate{T<:Real}(field::Array{T,2}, basis::Function, ip)
m, n = size(field)
bip = basis(ip)
tmp = size(bip)
if length(tmp) == 1
ndim = 1
nnodes = tmp[1]
else
ndim, nnodes = size(bip)
end
if ndim == 1
if n == nnodes
result = field * bip
elseif m == nnodes
result = field' * bip
end
else
if n == nnodes
result = bip' * field
elseif m == nnodes
result = bip' * field'
end
end
if length(result) == 1
result = result[1]
end
return result
end
function interpolate(e::Element, field::ASCIIString, x::Array{Float64,1}; derivative=false)
return interpolate(e.attributes[field], derivative ? e.dbasis : e.basis, x)
end