module SCS class Matrix attr_reader :m, :n def initialize(m, n) @m = m @n = n @data = {} end def []=(row_index, column_index, value) raise IndexError, "row index out of bounds" if row_index < 0 || row_index >= @m raise IndexError, "column index out of bounds" if column_index < 0 || column_index >= @n # dictionary of keys, optimized for converting to CSC # TODO try COO for performance if value == 0 (@data[column_index] ||= {}).delete(row_index) else (@data[column_index] ||= {})[row_index] = value end end def to_csc cx = [] ci = [] cp = [] # CSC format # https://www.gormanalysis.com/blog/sparse-matrix-storage-formats/ cp << 0 n.times do |j| (@data[j] || {}).sort_by { |k, v| k }.each do |k, v| cx << v ci << k end # cumulative column values cp << cx.size end { start: cp, index: ci, value: cx } end # private, for tests def nnz @data.sum { |_, v| v.count } end def initialize_copy(other) super @data = @data.transform_values(&:dup) end def self.from_dense(data) data = data.to_a m = data.size n = m > 0 ? data.first.size : 0 mtx = Matrix.new(m, n) data.each_with_index do |row, i| raise ArgumentError, "row has different number of columns" if row.size != n row.each_with_index do |v, j| mtx[i, j] = v if v != 0 end end mtx end end end