/
Assemblers.jl
232 lines (186 loc) · 6.26 KB
/
Assemblers.jl
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module Assemblers
using SparseArrays: sparse
using LinearAlgebra
using ..LocalAssemblers: LocalMatrixAssembler, init!
"""
AbstractSysmatAssembler
Abstract type of system-matrix assembler.
"""
abstract type AbstractSysmatAssembler end;
"""
SysmatAssemblerSparse{T<:Number} <: AbstractSysmatAssembler
Type for assembling a sparse global matrix from individual entries.
"""
mutable struct SysmatAssemblerSparse{T<:Number} <: AbstractSysmatAssembler
row::Vector{Int64}
col::Vector{Int64}
val::Vector{T}
nrow::Int64; ncol::Int64;
end
"""
SysmatAssemblerSparse(zero::T=0.0) where {T<:Number}
Construct blank system matrix assembler. The matrix entries are of type `T`.
# Example
This is how a sparse matrix is assembled from two rectangular dense matrices.
```
a = SysmatAssemblerSparse(0.0)
start!(a, 7, 7)
m = [0.24406 0.599773 0.833404 0.0420141
0.786024 0.00206713 0.995379 0.780298
0.845816 0.198459 0.355149 0.224996]
gi = [1 7 5]
gj = [5 2 1 4]
for j in 1:size(m, 2), i in 1:size(m, 1)
assemble!(a, gi[i], gj[j], m[i, j])
end
m = [0.146618 0.53471 0.614342 0.737833
0.479719 0.41354 0.00760941 0.836455
0.254868 0.476189 0.460794 0.00919633
0.159064 0.261821 0.317078 0.77646
0.643538 0.429817 0.59788 0.958909]
gi = [2 3 1 7 5]
gj = [6 7 3 4]
for j in 1:size(m, 2), i in 1:size(m, 1)
assemble!(a, gi[i], gj[j], m[i, j])
end
A = finish!(a)
```
"""
function SysmatAssemblerSparse(zero::T=0.0) where {T<:Number}
return SysmatAssemblerSparse{T}(fill(0, 0), fill(0, 0), fill(zero, 0), 0, 0)
end
"""
start!(self::SysmatAssemblerSparse{T}, nrow, ncol) where {T<:Number}
Start the assembly of a global matrix.
"""
function start!(self::SysmatAssemblerSparse{T}, nrow, ncol) where {T<:Number}
nexpected = Int64(round(0.00001 * max(nrow, ncol, 10000)^2))
self.row = fill(0, 0)
sizehint!(self.row, nexpected)
self.col = fill(0, 0)
sizehint!(self.col, nexpected)
self.val = fill(zero(T), 0)
sizehint!(self.val, nexpected)
self.nrow = nrow;
self.ncol = ncol;
return self
end
"""
assemble!(self::SysmatAssemblerSparse{T}, r, c, v::T) where {T<:Number}
Assemble a single entry of a rectangular matrix.
"""
function assemble!(self::SysmatAssemblerSparse{T}, r, c, v::T) where {T<:Number}
push!(self.row, r)
push!(self.col, c)
push!(self.val, v)
return self
end
"""
assemble!(self::SysmatAssemblerSparse{T}, lma::LocalMatrixAssembler{IT, T}) where {IT<:Integer, T<:Number}
Assemble the row numbers, column numbers, and values from a local assembler.
"""
function assemble!(self::SysmatAssemblerSparse{T}, lma::LocalMatrixAssembler{IT, T}) where {IT<:Integer, T<:Number}
append!(self.row, lma.row)
append!(self.col, lma.col)
append!(self.val, lma.M)
return self
end
"""
assemble!(self::SysmatAssemblerSparse{T}, lma::Transpose{T,LocalMatrixAssembler{IT,T}}) where {IT<:Integer, T<:Number}
Assemble the row numbers, column numbers, and values from a local assembler.
"""
function assemble!(self::SysmatAssemblerSparse{T}, lma::Transpose{T,LocalMatrixAssembler{IT,T}}) where {IT<:Integer, T<:Number}
append!(self.row, transpose(lma.parent.col))
append!(self.col, transpose(lma.parent.row))
append!(self.val, transpose(lma.parent.M))
return self
end
"""
finish!(self::SysmatAssemblerSparse)
Make a sparse matrix.
"""
function finish!(self::SysmatAssemblerSparse)
return sparse(self.row, self.col, self.val, self.nrow, self.ncol);
end
"""
AbstractSysvecAssembler
Abstract type of system vector assembler.
"""
abstract type AbstractSysvecAssembler end;
"""
start!(self::SV, nrow) where {SV<:AbstractSysvecAssembler, T<:Number}
Start assembly.
The method makes the buffer for the vector assembly. It must be called before
the first call to the method assemble.
`nrow`= Total number of degrees of freedom.
"""
function start!(self::SV, nrow) where {SV<:AbstractSysvecAssembler, T<:Number}
end
"""
assemble!(self::SV, i, val::T) where {SV<:AbstractSysvecAssembler, T<:Number}
Assemble an elementwise vector.
The method assembles a column element vector using the vector of degree of
freedom numbers for the rows.
"""
function assemble!(self::SV, i, val::T) where {SV<:AbstractSysvecAssembler, T<:Number}
end
"""
makevector!(self::SysvecAssembler)
Make the global vector.
"""
function finish!(self::SV) where {SV<:AbstractSysvecAssembler}
end
"""
SysvecAssembler
Assembler for the system vector.
"""
mutable struct SysvecAssembler{T<:Number} <: AbstractSysvecAssembler
val::Vector{T};
ndofs::Int64
end
"""
SysvecAssembler(zero::T=0.0) where {T<:Number}
Construct blank system vector assembler. The vector entries are of type `T`.
"""
function SysvecAssembler(zero::T=0.0) where {T<:Number}
return SysvecAssembler([zero], 0)
end
"""
start!(self::SysvecAssembler{T}, nrow::Int64) where {T<:Number}
Start assembly.
The method makes the buffer for the vector assembly. It must be called before
the first call to the method assemble.
`nrow`= Total number of degrees of freedom.
"""
function start!(self::SysvecAssembler{T}, nrow::Int64) where {T<:Number}
self.ndofs = nrow
self.val = zeros(T, self.ndofs);
return self
end
"""
assemble!(self::SysvecAssembler{T}, i, val::T) where {T<:Number}
Assemble a single value into the row `i`.
"""
function assemble!(self::SysvecAssembler{T}, i, val::T) where {T<:Number}
self.val[i] = self.val[i] + val;
return self
end
"""
assemble!(self::SysvecAssembler{T}, lva) where {T<:Number}
Assemble local vector assembler.
"""
function assemble!(self::SysvecAssembler{T}, lva) where {T<:Number}
for i in 1:length(lva.row)
gi = lva.row[i]
self.val[gi] += lva.V[i];
end
return self
end
"""
finish!(self::SysvecAssembler)
Make the global vector.
"""
function finish!(self::SysvecAssembler)
return deepcopy(self.val);
end
end