Class: CArray

Inherits:
Object
  • Object
show all
Defined in:
lib/carray/base/math.rb,
lib/carray/io/pg.rb,
lib/carray/io/csv.rb,
lib/carray/io/table.rb,
lib/carray/base/math.rb,
lib/carray/base/math.rb,
lib/carray/base/basic.rb,
lib/carray/base/basic.rb,
lib/carray/io/sqlite3.rb,
lib/carray/base/struct.rb,
lib/carray/base/inspect.rb,
lib/carray/base/iterator.rb,
lib/carray/base/iterator.rb,
lib/carray/base/obsolete.rb,
lib/carray/graphics/zimg.rb,
lib/carray/base/serialize.rb,
lib/carray/io/imagemagick.rb,
lib/carray/math/histogram.rb,
lib/carray/math/recurrence.rb,
lib/carray/object/ca_obj_pack.rb,
lib/carray/autoload/autoload_base.rb,
lib/carray/autoload/autoload_io_pg.rb,
lib/carray/autoload/autoload_io_csv.rb,
lib/carray/autoload/autoload_io_sqlite3.rb,
lib/carray/autoload/autoload_graphics_zimg.rb,
lib/carray/autoload/autoload_io_imagemagick.rb,
lib/carray/autoload/autoload_math_histogram.rb,
lib/carray/autoload/autoload_math_recurrence.rb,
ext/calculus/lib/math/calculus.rb,
ext/narray/lib/math/narray_miss.rb,
ext/fortio/lib/carray/io/fortran_format.rb,
ext/narray/lib/autoload/autoload_math_narray_miss.rb,
ext/fortio/lib/carray/autoload/autoload_fortran_format.rb

Overview


carray/base/calculus.rb

This file is part of Ruby/CArray extension library.
You can redistribute it and/or modify it under the terms of
the Ruby Licence.

Copyright (C) 2005 Hiroki Motoyoshi

Direct Known Subclasses

CAHistogram, ImageMap

Defined Under Namespace

Classes: Inspector, Serializer

Constant Summary collapse

HAVE_NARRAY =

“narray” should be loaded in config.rb

Qtrue
@@zimg_count =
0

Class Method Summary collapse

Instance Method Summary collapse

Class Method Details

.__new__(type, *args) ⇒ Object

Create new CArray object from the return value of the block with data type type. The dimensional size and the initialization value are guessed from the return value of the block. The block should return one of the following objects.

  • Numeric

  • Array

  • CArray

  • an object that has either method to_ca or to_a or map

When the return value of the block is a Numeric or CScalar object, CScalar object is returned.



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# File 'lib/carray/base/basic.rb', line 52

def CArray.__new__ (type, *args) # :nodoc:
  case v = args.first
  when CArray
    return ( v.data_type == type ) ? v.to_ca : v.to_type(type)
  when Array
    return CArray.new(type, CArray.guess_array_shape(v)) { v }
  when Range
    return CArray.span(type, *args)
  when String
    if type == CA_OBJECT
      return CScalar.new(CA_OBJECT) { v }
    elsif type == CA_BOOLEAN
        v = v.dup
        v.tr!('^01',"1")
        v.tr!('01',"\x0\x1")
        return CArray.boolean(v.length).load_binary(v)
    else
      case v
      when /;/
        v = v.strip.split(/\s*;\s*/).
                         map{|s| s.split(/\s+|\s*,\s*/).map{|x| x=='_' ? UNDEF : x} }
      else
        v = v.strip.split(/\s+|\s*,\s*/).map{|x| x=='_' ? UNDEF : x}
      end
      return CArray.new(type, CArray.guess_array_shape(v)) { v }
    end
  when NilClass
    return CArray.new(type, [0])
  else
    if v.respond_to?(:to_ca)
      ca = v.to_ca
      return ( ca.data_type == type ) ? ca : ca.to_type(type)
    else
      return CScalar.new(type) { v }
    end
  end
end

.__new_fixlen__(bytes, v) ⇒ Object

:nodoc:



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# File 'lib/carray/base/basic.rb', line 90

def CArray.__new_fixlen__ (bytes, v) # :nodoc:
  case v
  when CArray
    return ( v.data_type == :fixlen ) ? v.to_ca : v.to_type(:fixlen, :bytes=>bytes)
  when Array
    unless bytes
      bytes = v.map{|s| s.length}.max
    end
    return CArray.new(:fixlen, CArray.guess_array_shape(v), :bytes=>bytes) { v }
  when NilClass
    return CArray.new(type, [0])
  else
    if v.respond_to?(:to_ca)
      ca = v.to_ca
      return ( ca.data_type == :fixlen ) ? ca : ca.to_type(:fixlen, :bytes=>bytes)
    else
      return CScalar.new(:fixlen, :bytes=>bytes) { v }
    end
  end
end

.bind(data_type, list, at = 0) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 898

def self.bind (data_type, list, at = 0)
  return CArray.combine(data_type, [list.size], list, at)
end

.combine(data_type, tdim, list, at = 0) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 834

def self.combine (data_type, tdim, list, at = 0)
  has_fill_value = false
  if block_given?
    fill_value = yield
    has_fill_value = true
  end
  if not tdim.is_a?(Array) or tdim.size == 0
    raise "invalid binding dimension"
  end
  if not list.is_a?(Array) or list.size == 0
    raise "invalid list"
  end
  list = list.map{|x| CArray.wrap_readonly(x, data_type) }
  ref  = list.detect{|x| x.is_a?(CArray) or not x.scalar? }
  unless ref
    raise "at least one element in list should be a carray"
  end
  dim   = ref.dim
  rank  = ref.rank
  trank = tdim.size
  if at < 0
    at += rank - trank + 1
  end
  unless at.between?(0, rank - trank)
    raise "concatnating position out of range"
  end
  list.map! do |x|
    if x.scalar?
      rdim = dim.clone
      rdim[at] = :%
      x = x[*rdim]        # convert CScalar to CARepeat
    end
    x
  end
  block = CArray.object(*tdim){ list }
  edim = tdim.clone
  idx = Array.new(tdim)
  offset = Array.new(tdim.size) { [] }
  tdim.each_with_index do |td, i|
    edim[i] = 0
    idx.map!{0}
    idx[i] = nil
    block[*idx].each do |e|
      offset[i] << edim[i]
      edim[i] += e.dim[at+i]  # extended dimension size
    end
  end
  newdim = dim.clone
  newdim[at,trank] = edim     # extended dimension size
  if has_fill_value
    obj = CArray.new(data_type, newdim) { fill_value }
  else      
    obj = CArray.new(data_type, newdim)
  end
  idx = newdim.map{0}
  block.each_with_index do |item, tidx|
    (at...at+trank).each_with_index do |d,i|
      idx[d] = offset[i][tidx[i]]
    end
    obj.paste(idx, item)
  end
  obj
end

.composite(data_type, tdim, list, at = 0) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 902

def self.composite (data_type, tdim, list, at = 0)
  if not tdim.is_a?(Array) or tdim.size == 0
    raise "invalid tiling dimension"
  end
  if not list.is_a?(Array) or list.size == 0
    raise "invalid carray list"
  end
  list = list.map{|x| CArray.wrap_readonly(x, data_type) }
  ref  = list.detect{|x| x.is_a?(CArray) or not x.scalar? }
  unless ref
    raise "at least one element in list should be a carray"
  end
  dim   = ref.dim
  rank  = ref.rank
  if at < 0
    at += rank + 1 #  "+ 1" is needed here
  end
  unless at.between?(0,rank)
    raise "tiling position is out of range"
  end
  trank = tdim.size
  list.map! do |x|
    if x.scalar?
      rdim = dim.clone
      rdim[at] = :%
      x = x[*rdim]     # convert CScalar to CARepeat
    end
    x
  end
  newdim = dim.clone
  newdim[at,0] = tdim
  obj = CArray.new(data_type, newdim)
  idx = Array.new(rank+trank) { nil }
  CArray.each_index(*tdim) do |*tidx|
    idx[at,trank] = tidx
    obj[*idx] = list.shift
  end
  obj
end

.dump(ca, opt = {}) ⇒ Object



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# File 'lib/carray/base/serialize.rb', line 195

def self.dump (ca, opt={})
  io = StringIO.new("")
  Serializer.new(io).save(ca, opt) 
  return io.string
end

.from_binary(io, opt = {}) ⇒ Object

:nodoc:



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# File 'lib/carray/base/serialize.rb', line 248

def self.from_binary (io, opt={})      # :nodoc:
  warn "CArray.from_binary will be obsolete, use CArray.load"
  return Serializer.new(io).load(opt)   
end

.from_bit_string(bstr, nb, data_type = CA_INT32, dim = nil) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 786

def self.from_bit_string (bstr, nb, data_type=CA_INT32, dim=nil)
  if dim
    obj = CArray.new(data_type, dim)
  else
    dim0 = ((bstr.length*8)/nb.to_f).floor
    obj = CArray.new(data_type, [dim0])
  end
  obj.from_bit_string(bstr, nb)
  return obj
end

.from_csv(io, option = {}, rs: $/, sep: ",", &block) ⇒ Object



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# File 'lib/carray/io/csv.rb', line 527

def self.from_csv (io, option={}, rs: $/, sep: ",", &block)
  option = {:sep=>sep, :rs=>rs}.update(option)
  reader = CA::CSVReader.new(option[:sep], option[:rs], &block)
  case io
  when IO, StringIO
    return reader.read_io(io)
  when String
    return reader.read_string(io)
  else
    raise "invalid argument"
  end
end

.from_fortran_format(fmt, io) ⇒ Object



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# File 'ext/fortio/lib/carray/io/fortran_format.rb', line 5

def self.from_fortran_format (fmt, io)
  case io
  when String
    io = StringIO.new(io)
  end
  case fmt
  when String
    fmt = FortranFormat.new(fmt)
  end
  data = []
  begin
    data << fmt.read(io)
  end until io.eof?
  return data.to_ca
end

.join(*argv) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 946

def self.join (*argv)
  # get options
  case argv.first
  when Integer, Symbol, String
    type, = *CArray.guess_type_and_bytes(argv.shift, 0)
  else
    type = argv.flatten.first.data_type
  end
  # process
  conc = argv.map do |list|
    case list
    when CArray
      if list.rank == 1
        list[:%,1]
      else
        list
      end
    when Array
      x0 = list.first
      if list.size == 1 and
          x0.is_a?(CArray) and
          x0.rank == 1
        list = [x0[:%,1]]
      else
      list = list.map { |x|
        case x
        when CArray
          if x.rank == 1
            x[:%,1]
          else
            x
          end
        when Array
          y = x.first
          if x.size == 1 and
              y.is_a?(CArray) and
              y.rank == 1
            y[1,:%]
          else
            CArray.join(*x)
          end
        else
          x
        end
      }
      end
      if block_given?
        CArray.bind(type, list, 1, &block)
      else
        CArray.bind(type, list, 1)
      end 
    else
      list
    end
  end
  if conc.size > 1
    return CArray.bind(type, conc)
  else
    return conc.first
  end
end

.load(input, opt = {}) ⇒ Object



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# File 'lib/carray/base/serialize.rb', line 179

def self.load (input, opt={})
  case input
  when String
    if input.length >= 256 and input =~ /\A_CARRAY_.{8}_(LE|BE)_/
      io = StringIO.new(input)
      return Serializer.new(io).load(opt)
    else
      open(input, "rb:ASCII-8BIT") { |io|
        return Serializer.new(io).load(opt)
      }
    end
  else
    return Serializer.new(input).load(opt)   
  end
end

.load_binary(filename, opt = {}) ⇒ Object

:nodoc:



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# File 'lib/carray/base/serialize.rb', line 225

def self.load_binary (filename, opt={})     # :nodoc: 
  warn "CArray.load_binary will be obsolete, use CArray.load"
  open(filename) { |io|
    return Serializer.new(io).load(opt)
  }
end

.load_binary_io(io, opt = {}) ⇒ Object

:nodoc:



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# File 'lib/carray/base/serialize.rb', line 237

def self.load_binary_io (io, opt={})   # :nodoc:
  warn "CArray#load_binary_io will be obsolete, use CArray.load"
  return Serializer.new(io).load(opt)   
end

.load_by_magick(filename, imap = "rgb", data_type = nil) ⇒ Object



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# File 'lib/carray/io/imagemagick.rb', line 48

def self.load_by_magick (filename, imap = "rgb", data_type = nil)
  if not File.exist?(filename)
    raise "can't find image file '#{filename}'"
  end
  identify_command = [
                      "identify",
                      "-format " + "'" + [
                                         "---",
                                         "height: %h",
                                         "width: %w",
                                         "depth: %z",
                                        ].join("\n") + "'",
                      filename,
                      "2>/dev/null"
                     ].join(" ")
  ident = YAML.load(`#{identify_command}`)
  if ident.empty?
    raise "ImageMagick's identify command failed to read image file '#{filename}'"
  end
  height, width, depth = ident.values_at('height', 'width', 'depth')
  unless data_type
    case depth
    when 8
      data_type = CA_UINT8
    when 16
      data_type = CA_UINT16
    when 32
      data_type = CA_UINT32
    end
  end
  storage_type = case data_type
                 when CA_UINT8, CA_INT8
                   "char"
                 when CA_UINT16, CA_INT16
                   "short"
                 when CA_UINT32, CA_INT32
                   "integer"
                 when CA_FLOAT32
                   "float"
                 when CA_FLOAT64
                   "double"
                 else
                   raise "invalid data_type"
                 end
  tempfile = "CA_Magick_#{$$}_#{@@magick_tempfile_count}.dat"
  @@magick_tempfile_count += 1
  stream_command = [
                    "stream",
                    "-storage-type #{storage_type}",
                    "-map #{imap}",
                    filename,
                    tempfile,
                    "2>/dev/null"
                   ].join(" ")
  begin
    system stream_command
    return open(tempfile) { |io|
      if imap.size == 1
        CArray.new(data_type, [height, width]).load_binary(io)
      else
        CArray.new(data_type, [height, width, imap.size]).load_binary(io)
      end
    }
  rescue
    raise "ImageMagick's stream command failed to read image file '#{filename}'"
  ensure
    if File.exist?(tempfile)
      File.unlink(tempfile)
    end
  end
end

.load_csv(file, option = {}, rs: $/, sep: ",", &block) ⇒ Object



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# File 'lib/carray/io/csv.rb', line 521

def self.load_csv (file, option={}, rs: $/, sep: ",", &block)
  option = {:sep=>sep, :rs=>rs}.update(option)
  reader = CA::CSVReader.new(option[:sep], option[:rs], &block)
  return reader.read_file(file)
end

.load_from_file(filename, data_type, dim, opt = {}) ⇒ Object

depleted methods



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# File 'lib/carray/base/serialize.rb', line 255

def self.load_from_file (filename, data_type, dim, opt={}) # :nodoc:
  raise "Sorry, CArray.load_from_file is depleted"
end

.load_pg(expr, *args) ⇒ Object



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# File 'lib/carray/io/pg.rb', line 6

def self.load_pg (expr, *args)
  case expr
  when Hash
    opts = expr
    sql, *vars = *args
    db = PG.connect(opts)
    begin
      result = db.async_exec(sql, *vars)
      names = result.fields
      table = result.values
    rescue Interrupt
      db.cancel
      raise 
    ensure
      db.finish       
    end
  when PG::Result
    result = expr
    names = result.fields
    table = result.values
  when PG::Connection
    db = expr
    sql, *vars = *args
    begin
      result = db.async_exec(sql, *vars)
      names = result.fields
      table = result.values
    rescue Interrupt
      db.cancel
      raise
    end
  else
    raise "invalid 1st arg"
  end
  table = table.to_ca
  table.instance_exec { 
    @result = result
    @names  = names
  }
  class << table
    attr_reader :names, :result
    def column (name)
      if self.size == 0
        if name.is_a?(Integer)
          return CA_OBJECT([])
        elsif @names
          if i = @names.index(name.to_s)
            return CA_OBJECT([])
          end
        end
        return nil          
      else
        if name.is_a?(Integer)
          return self[false, name]
        elsif @names
          if i = @names.index(name.to_s)
            return self[false, i]
          end
        end
        return nil
      end
    end
  end
  return table
end

.load_sqlite3(expr, *args) ⇒ Object



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# File 'lib/carray/io/sqlite3.rb', line 7

def self.load_sqlite3 (expr, *args)
  case expr
  when String
    file = expr
    sql, *vars = *args
    db = SQLite3::Database.new(file)
    names, *table = db.execute2(sql, *vars)
    db.close
  when SQLite3::Database
    db = expr
    sql, *vars = *args
    names, *table = db.execute2(sql, *vars)
  when SQLite3::Statement
    stmt = expr
    vars = args
    names = stmt.columns
    table = stmt.execute!(*vars)
  else
    raise "invalid 1st arg"
  end
  table = table.to_ca
  table.extend(CA::TableMethods)
  table.column_names = names
  return table
end

.merge(data_type, list, at = -1)) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 942

def self.merge (data_type, list, at = -1)
  return CArray.composite(data_type, [list.size], list, at)
end

.pack(*argv) ⇒ Object



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# File 'lib/carray/object/ca_obj_pack.rb', line 98

def self.pack (*argv)
  return CAPack.new(argv)
end

.pickup(data_type, ref, args) ⇒ Object

ref = CA_INT([,[1,2,0],])

a = CArray.int(3,3).seq(1)
b = CArray.int(3,3).seq(11)
c = CArray.int(3,3).seq(21)

CArray.pickup(CA_OBJECT, ref, [a,b,c])
=> <CArray.object(3,3): elem=9 mem=72b
[ [ 1, 12, 23 ],
  [ 14, 25, 6 ],
  [ 27, 8, 19 ] ]>

CArray.pickup(CA_OBJECT, ref, ["a","b","c"])
=> <CArray.object(3,3): elem=9 mem=36b
[ [ "a", "b", "c" ],
  [ "b", "c", "a" ],
  [ "c", "a", "b" ] ]>


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# File 'lib/carray/base/basic.rb', line 820

def self.pickup (data_type, ref, args)
  out = ref.template(data_type)
  args.each_with_index do |v, i|
    s = ref.eq(i)
    case v
    when CArray
      out[s] = v[s]
    else
      out[s] = v
    end
  end
  return out
end

.save(ca, output, opt = {}) ⇒ Object



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# File 'lib/carray/base/serialize.rb', line 168

def self.save(ca, output, opt={})
  case output
  when String
    open(output, "wb:ASCII-8BIT") { |io|
      return Serializer.new(io).save(ca, opt)
    }
  else
    return Serializer.new(output).save(ca, opt) 
  end
end

.span(*argv) ⇒ Object

CArray.span(data_type, range[, step]) CArray.span(range[, step]) -> data_type guessed by range.first type



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# File 'lib/carray/base/basic.rb', line 618

def self.span (*argv)
  if argv.first.is_a?(Range)
    type = nil
  else
    type, = *CArray.guess_type_and_bytes(argv.shift, nil)
  end
  range, step = argv[0], argv[1]
  start, stop = range.begin, range.end
  if step == 0
    raise "step should not be 0"
  end
  if not type
    case start
    when Integer
      type = CA_INT32
    when Float
      type = CA_FLOAT64
    else
      type = CA_OBJECT
    end
  end
  if type == CA_OBJECT and not step
    return CA_OBJECT(range.to_a)
  else
    step ||= 1
    if range.exclude_end?
      n = ((stop - start).abs/step).floor
    else
      n = ((stop - start).abs/step).floor + 1
    end
    if start <= stop
      return CArray.new(type, [n]).seq(start, step)
    else
      return CArray.new(type, [n]).seq(start, -step.abs)
    end
  end
end

.summation(*dim) ⇒ Object



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# File 'lib/carray/base/math.rb', line 378

def self.summation (*dim)
  out = nil
  first = true
  CArray.each_index(*dim) { |*idx|
    if first
      out = yield(*idx)
      first = false
    else  
      out += yield(*idx)
    end
  }
  return out
end

Instance Method Details

#<=>(other) ⇒ Object Also known as: cmp

comparison operators



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# File 'lib/carray/base/math.rb', line 83

def <=> (other)
  lower = self < other
  upper = self > other
  out = CArray.new(CA_INT8, lower.dim)
  out[lower] = -1
  out[upper] = 1
  return out
end

#addressObject

index / indices / axes



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# File 'lib/carray/base/basic.rb', line 687

def address ()
  return CArray.int32(*dim).seq!
end

#anomaly(*argv) ⇒ Object Also known as: anom



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# File 'lib/carray/base/math.rb', line 227

def anomaly (*argv)
  opt = argv.last.is_a?(Hash) ? argv.pop : {}
  idxs = Array.new(self.rank) { |i| argv.include?(i) ? :* : nil }
  if mn = opt[:mean]
    return self - mn[*idxs]
  else
    return self - self.mean(*argv)[*idxs]
  end
end

#asign(*idx) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 199

def asign (*idx)
  self[*idx] = yield
  return self
end

#attributeObject



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# File 'lib/carray/base/basic.rb', line 182

def attribute
  @attribute ||= {}
  return @attribute
end

#attribute=(obj) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 175

def attribute= (obj)
  unless obj.is_a?(Hash)
    raise "attribute should be a hash object"
  end
  @attribute = obj
end

#bin(val, include_upper, include_lowest, offset = 0) ⇒ Object



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# File 'lib/carray/math/histogram.rb', line 120

def bin (val, include_upper, include_lowest, offset=0)

  scales = CArray.wrap_readonly(self, CA_DOUBLE)
  
  x = scales.section(val)
#    x.inherit_mask(val)
  unless x.is_a?(CArray)
    x = CA_DOUBLE(x)
  end

  if include_upper
    if include_lowest
      x[:eq, 0] = 0.5
    end
    xi = x.ceil.int32 - 1
  else
    xi = x.floor.int32 
  end

  case offset
  when 0
    xi[:gt, elements-1] = elements - 1
    xi[:lt, 0] = UNDEF
  when 1
    xi.add!(1)
    xi[:gt, elements] = elements
    xi[:lt, 1] = 0
  else
    raise "invalid offset value"
  end

  return xi
end

#block_iterator(*argv) ⇒ Object

:nodoc:



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# File 'lib/carray/base/obsolete.rb', line 9

def block_iterator (*argv)           # :nodoc:
  warn "CArray#block_iterator will be obsolete, use CArray#blocks"
  return blocks(*argv)
end

#by(other) ⇒ Object



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# File 'lib/carray/base/math.rb', line 392

def by (other)
  case other
  when CArray
    return (self[nil][nil,:*]*other[nil][:*,nil]).reshape(*(dim+other.dim))
  else
    return self * other
  end
end

#classes(classifier = nil, &block) ⇒ Object



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# File 'lib/carray/base/iterator.rb', line 306

def classes (classifier=nil, &block)
  return CAClassIterator.new(self, classifier).__build__(&block)
end

#classify(klass, outlier = nil) ⇒ Object

:nodoc:



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# File 'lib/carray/base/obsolete.rb', line 53

def classify (klass, outlier = nil)  # :nodoc:
  warn "CArray#classify will be obsolete"
  b = CArray.int32(*dim)
  f = CArray.boolean(*dim) { 1 }
  attach {
    (klass.elements-1).times do |i|
      r = f.and(self < klass[i+1])
      b[r] = i
      f[r] = 0
    end
    if outlier
      b[self < klass[0]] = outlier
      b[f] = outlier
    else
      b[self < klass[0]] = -1
      b[f] = klass.elements-1
    end
  }
  return b
end

#codeObject



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# File 'lib/carray/base/inspect.rb', line 238

def code 
  text = [
    desc,
    " { ",
    self.to_a.pretty_inspect.split("\n").map{|s|
      " " * (desc.length+3) + s
    }.join("\n").lstrip,
    " }"
  ].join
  return text
end

#compactObject

Returns the array which rank is reduced by eliminating the dimensions which size == 1



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# File 'lib/carray/base/basic.rb', line 383

def compact
  newdim = dim.reject{|x| x == 1 }
  return ( rank != newdim.size ) ? reshape(*newdim).to_ca : self.to_ca
end

#compactedObject

Reutrns the reference which rank is reduced by eliminating the dimensions which size == 1



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# File 'lib/carray/base/basic.rb', line 376

def compacted
  newdim = dim.reject{|x| x == 1 }
  return ( rank != newdim.size ) ? reshape(*newdim) : self[]
end

#correlation(y, min_count = nil, fill_value = nil) ⇒ Object



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# File 'lib/carray/base/math.rb', line 354

def correlation (y, min_count = nil, fill_value = nil)
  x = self.double
  y = y.double
  if x.has_mask? or y.has_mask?
    x.inherit_mask(y)
    y.inherit_mask(x)
    xm = x.mean(:min_count=>min_count)
    ym = y.mean(:min_count=>min_count)
    if ( xm.undef? or ym.undef? )
      return fill_value || UNDEF
    else
      xd, yd = x-xm, y-ym
      return xd.wsum(yd)/(xd.wsum(xd)*yd.wsum(yd)).sqrt
    end
  else
    xd, yd = x-x.mean, y-y.mean
    return xd.wsum(yd)/(xd.wsum(xd)*yd.wsum(yd)).sqrt
  end
end

#count_masked(*argv) ⇒ Object

Returns the number of masked elements.



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# File 'lib/carray/base/basic.rb', line 210

def count_masked (*argv)
  if has_mask?
    return mask.int32.accumulate(*argv)
  else
    return 0
  end
end

#count_not_masked(*argv) ⇒ Object

Returns the number of not-masked elements.



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# File 'lib/carray/base/basic.rb', line 221

def count_not_masked (*argv)
  if has_mask?
    return mask.not.int32.accumulate(*argv)
  else
    return elements
  end
end

#covariance(y, min_count = nil, fill_value = nil) ⇒ Object



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# File 'lib/carray/base/math.rb', line 335

def covariance (y, min_count = nil, fill_value = nil)
  x = self.double
  y = y.double
  if x.has_mask? or y.has_mask?
    x.inherit_mask(y)
    y.inherit_mask(x)
    count = x.count_not_masked
    xm = x.mean(:min_count=>min_count)
    ym = y.mean(:min_count=>min_count)
    if ( xm.undef? or ym.undef? )
      return fill_value || UNDEF
    else
      return (x-xm).wsum(y-ym)/(count-1)
    end
  else
    return (x-x.mean).wsum(y-y.mean)/(elements-1)
  end
end

#covariancep(y, min_count = nil, fill_value = nil) ⇒ Object



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# File 'lib/carray/base/math.rb', line 316

def covariancep (y, min_count = nil, fill_value = nil)
  x = self.double
  y = y.double
  if x.has_mask? or y.has_mask?
    x.inherit_mask(y)
    y.inherit_mask(x)
    count = x.count_not_masked
    xm = x.mean(:min_count => min_count)
    ym = y.mean(:min_count => min_count)
    if ( xm.undef? or ym.undef? )
      return fill_value || UNDEF
    else
      return (x-xm).wsum(y-ym)/count
    end
  else
    return (x-x.mean).wsum(y-y.mean)/elements
  end
end

#deg_180Object



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# File 'ext/mathfunc/carray_mathfunc.c', line 78

static VALUE 
rb_ca_deg_180 (VALUE self)
{
  return ca_call_cfunc_1_1(CA_DOUBLE, CA_DOUBLE, mathfunc_deg_180, self);
}

#deg_180!Object



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# File 'ext/mathfunc/carray_mathfunc.c', line 84

static VALUE 
rb_ca_deg_180_bang (VALUE self)
{
  volatile VALUE out;
  out = ca_call_cfunc_1_1(CA_DOUBLE, CA_DOUBLE, mathfunc_deg_180, self);
  rb_funcall(self, rb_intern("[]="), 1, out);
  return self;
}

#deg_360Object



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# File 'ext/mathfunc/carray_mathfunc.c', line 36

static VALUE 
rb_ca_deg_360 (VALUE self)
{
  return ca_call_cfunc_1_1(CA_DOUBLE, CA_DOUBLE, mathfunc_deg_360, self);
}

#deg_360!Object



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# File 'ext/mathfunc/carray_mathfunc.c', line 42

static VALUE 
rb_ca_deg_360_bang (VALUE self)
{
  volatile VALUE out;
  out = ca_call_cfunc_1_1(CA_DOUBLE, CA_DOUBLE, mathfunc_deg_360, self);
  rb_funcall(self, rb_intern("[]="), 1, out);
  return self;
}

#delete_block(offset, bsize) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 500

def delete_block (offset, bsize)
  if offset.size != rank or
    bsize.size != rank
    raise "rank mismatch"
  end
  newdim = dim
  grids  = []
  rank.times do |i|
    if offset[i] < 0
      offset[i] += dim[i]
    end
    if bsize[i] >= 0
      if offset[i] < 0 or offset[i] >= dim[i]
        raise "invalid offset or size"
      end
      newdim[i] -= bsize[i]
    else
      if offset[i] + bsize[i] + 1 < 0 or offset[i] + bsize[i] > dim[i]
        raise "invalid offset or size"
      end
      newdim[i] += bsize[i]
    end
    grids[i] = CArray.int32(newdim[i])
    if bsize[i] >= 0
      if offset[i] > 0
        grids[i][0...offset[i]].seq!
      end
      if offset[i] + bsize[i] < dim[i]
        grids[i][offset[i]..-1].seq!(offset[i]+bsize[i])
      end
    else
      if offset[i]+bsize[i] > 0
        grids[i][0..offset[i]+bsize[i]].seq!
      end
      if offset[i]+bsize[i]+1 < dim[i]-1
        grids[i][offset[i]+bsize[i]+1..-1].seq!(offset[i]+1)
      end
    end
  end
  return self[*grids].to_ca
end

#differentiateObject



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# File 'ext/calculus/carray_calculus.c', line 707

static VALUE
rb_ca_differentiate (volatile VALUE self,
                     volatile VALUE vsc, volatile VALUE vx)
{
  volatile VALUE rval = self;
  volatile VALUE out0, out;
  CArray *ca, *cv, *sc, *cx, *co0, *co;
  double *px, *po;
  ca_size_t i;

  Data_Get_Struct(self, CArray, ca);

  cv = ca_wrap_readonly(rval, CA_DOUBLE);
  sc = ca_wrap_readonly(vsc,  CA_DOUBLE);

  if ( ca_is_any_masked(cv) || ca_is_any_masked(sc) ) {
    rb_raise(rb_eRuntimeError,
             "can't calculate differentiation when masked elements exist");
  }

  if ( cv->elements != sc->elements ) {
    rb_raise(rb_eRuntimeError, "data num mismatch with scale");
  }

  cx = ca_wrap_readonly(vx,   CA_DOUBLE);

  co0 = carray_new(ca->data_type, cx->rank, cx->dim, 0, NULL);
  out = out0 = ca_wrap_struct(co0);
  co = ca_wrap_writable(out, CA_DOUBLE);

  ca_attach_n(4, cv, sc, cx, co);

  px = (double*) cx->ptr;
  po = (double*) co->ptr;

  ca_update_mask(cx);
  if ( cx->mask ) {
    boolean8_t *mx, *mo;
    ca_create_mask(co);
    mx = (boolean8_t *) cx->mask->ptr;
    mo = (boolean8_t *) co->mask->ptr;
    for (i=0; i<cx->elements; i++) {
      if ( ! *mx ) {
        *po = differentiate((double*)sc->ptr, (double*)ca->ptr, 
                            ca->elements, *px);
      }
      else {
        *mo = 1;
      }
      mx++; mo++; px++, po++;
    }
  }
  else {
    for (i=0; i<cx->elements; i++) {
      *po = differentiate((double*)sc->ptr, (double*)ca->ptr, 
                          ca->elements, *px);
      px++, po++;
    }
  }

  ca_sync(co);
  ca_detach_n(4, cv, sc, cx, co);

  if ( rb_ca_is_scalar(vx) ) {
    return rb_funcall(out0, rb_intern("[]"), 1, INT2NUM(0));
  }
  else {
    return out0;
  }
}

#display_by_magick(image_type = nil, options = "") ⇒ Object



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# File 'lib/carray/io/imagemagick.rb', line 202

def display_by_magick (image_type = nil, options = "")
  unless image_type
    image_type = magick_guess_image_type()
  end
  unless image_type
    raise "please specify image_type"
  end
  quantum_format = self.float? ? "-define quantum:format=floating-point" : ""
  depth = fixlen? ? "-depth 8" : "-depth #{8*bytes}"
  display_command = [
                     "display",
                     depth,
                     "-size " + [dim1, dim0].join("x"),
                     quantum_format,
                     options,
                     "#{image_type}:-",
                    ].join(" ")
  begin                  
    IO.popen(display_command, "w") { |io|
      if bytes > 1 and CArray.endian == CA_LITTLE_ENDIAN
        swap_bytes.dump_binary(io)
      else
        self.dump_binary(io)
      end
    }
  rescue
    raise "ImageMagick's display command failed to display image"
  end
end

#duplicated_valuesObject

Returns the array eliminated all the duplicated elements.



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# File 'lib/carray/base/basic.rb', line 593

def duplicated_values
  if uniq.size == size
    return []
  else
    hash = {}
    list = []
    each_with_addr do |v, addr|
      if v == UNDEF
        next
      elsif hash[v]
        list << [v, addr, hash[v]]
        hash[v] += 1
      else
        hash[v] = 0
      end
    end
    return list
  end
end

#escape_bytea(db) ⇒ Object



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# File 'lib/carray/io/pg.rb', line 96

def escape_bytea (db)
  return db.escape_bytea(self.to_s)
end

#extend_as_table(column_names) ⇒ Object



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# File 'lib/carray/io/table.rb', line 72

def extend_as_table (column_names)
  self.extend CA::TableMethods
  self.column_names = column_names
end

#faObject

:nodoc:



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# File 'lib/carray/base/obsolete.rb', line 4

def fa                               # :nodoc:
  warn "CArray#fa will be obsolete, use CArray#t"
  return self.t
end

#falseObject

Returns the 8-bit integer CArray object filled with 0 which dimension size is same as self. The resulted array represents the logical array which has false for its all elements.



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# File 'lib/carray/base/basic.rb', line 725

def false ()
  return template(:boolean)
end

#firstObject



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# File 'lib/carray/base/basic.rb', line 187

def first
  self[0]
end

#flattenObject



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# File 'lib/carray/base/basic.rb', line 318

def flatten
  return reshape(elements).to_ca
end

#flattenedObject

flatten



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# File 'lib/carray/base/basic.rb', line 314

def flattened
  return reshape(elements)
end

#from_bit_string(bstr, nb) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 778

def from_bit_string (bstr, nb)
  hex = CArray.uint8(bstr.length).load_binary(bstr)
  hex.bits[] = hex.bits[nil,[-1..0]]
  bits = hex.bits.flatten
  self.bits[false,[(nb-1)..0]][nil].paste([0], bits)
  return self
end

#has_attribute?Boolean

Returns:

  • (Boolean)


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# File 'lib/carray/base/basic.rb', line 167

def has_attribute?
  if ( not @attribute ) or @attribute.empty?
    return false
  else
    return true
  end
end

#imagObject

Return the imaginary part of self. If self is a complex array, the resulted array is CAMember object refers the appropriate part of self. In this case, you change the resulted array, the original array is also changed.

Otherwise, the resulted array is a dummy CArray object filled with 0. In this case, the change in the resulted array does not affect the original array. For this purpose, you should explicitly convert the array to complex array.



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# File 'lib/carray/base/math.rb', line 55

def imag
  if not @__imag__
    if complex?
      @__imag__ = case data_type
                  when CA_CMPLX64
                    field(4, CA_FLOAT32)
                  when CA_CMPLX128
                    field(8, CA_FLOAT64)
                  when CA_CMPLX128
                    field(16, CA_FLOAT128)
                  end
    else
      @__imag__ = self.template { 0 }
    end
  end
  return @__imag__
end

#imag=(val) ⇒ Object



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# File 'lib/carray/base/math.rb', line 73

def imag= (val)
  if complex?
    imag[] = val
  else
    raise "not a complex array"
  end
end

#index(n) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 691

def index (n)
  unless n.is_a?(Integer)
    raise ArgumentError, "argument should be an integer"
  end
  if n.between?(0, rank-1)
    return CArray.int32(dim[n]).seq!
  else
    raise ArgumentError,
          "invalid dimension specifier #{n} (0..#{self.rank-1})"
  end
end

#indicesObject



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# File 'lib/carray/base/basic.rb', line 707

def indices
  list = Array.new(rank) {|i|
    rpt = self.dim
    rpt[i] = :%
    index(i)[*rpt]
  }
  if block_given?
    return yield(*list)
  else
    return list
  end
end

#insert_block(offset, bsize, &block) ⇒ Object

insert



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# File 'lib/carray/base/basic.rb', line 470

def insert_block (offset, bsize, &block)
  if offset.size != rank or
      bsize.size != rank
    raise "rank mismatch"
  end
  newdim = dim
  grids = dim.map{|d| CArray.int32(d) }
  rank.times do |i|
    if offset[i] < 0
      offset[i] += dim[i]
    end
    if offset[i] < 0 or offset[i] >= dim[i] or bsize[i] < 0
      raise "invalid offset or size"
    end
    if bsize[i] > 0
      newdim[i] += bsize[i]
    end
    grids[i][0...offset[i]].seq!
    grids[i][offset[i]..-1].seq!(offset[i]+bsize[i])
  end
  out = CArray.new(data_type, newdim)
  if block_given?
    sel = out.true
    sel[*grids] = 0
    out[sel] = block.call
  end
  out[*grids] = self
  return out
end

#inspectObject



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# File 'lib/carray/base/inspect.rb', line 217

def inspect
  return CArray::Inspector.new(self).inspect_string
end

#integrateObject



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# File 'ext/calculus/carray_calculus.c', line 73

static VALUE
rb_ca_integrate (volatile VALUE self, volatile VALUE vsc)
{
  CArray *sc, *ca;
  double ans;

  ca = ca_wrap_readonly(self, CA_DOUBLE);
  sc = ca_wrap_readonly(vsc, CA_DOUBLE);

  if ( ca->elements != sc->elements ) {
    rb_raise(rb_eRuntimeError, "data num mismatch");
  }

  if ( ca_is_any_masked(ca) || ca_is_any_masked(sc) ) {
    rb_raise(rb_eRuntimeError,
             "can't calculate integrattion when masked elements exist");
  }

  ca_attach_n(2, ca, sc);

  ans = simpson((double*)sc->ptr, (double*)ca->ptr, ca->elements);

  ca_detach_n(2, ca, sc);

  return rb_float_new(ans);
}

#interp_nd_linearObject



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# File 'ext/calculus/carray_interp.c', line 234

static VALUE
rb_ca_interpolate_bilinear (int argc, VALUE *argv, volatile VALUE self)
{
  volatile VALUE vscales, vvalues, vs, out;
  CArray *ca, *co, *cs;
  double *scales[CA_RANK_MAX];
  CArray *values[CA_RANK_MAX];
  CArray *scales_ca[CA_RANK_MAX];
  int8_t out_rank;
  ca_size_t out_dim[CA_RANK_MAX];
  int i;

  rb_scan_args(argc, argv, "2", &vscales, &vvalues);

  Check_Type(vscales, T_ARRAY);
  Check_Type(vvalues, T_ARRAY);

  if ( RARRAY_LEN(vscales) != RARRAY_LEN(vvalues) ) {
    rb_raise(rb_eArgError, "invalid number of values or scales");
  }

  ca = ca_wrap_readonly(self, CA_DOUBLE);

  if ( ca->rank != RARRAY_LEN(vvalues) ) {
    rb_raise(rb_eArgError, "invalid number of values");
  }

  for (i=0; i<ca->rank; i++) {
    vs = rb_ary_entry(vscales, i);
    if ( NIL_P(vs) ) {
      scales[i] = NULL;
    }
    else {
      cs = ca_wrap_readonly(vs, CA_DOUBLE);
      scales_ca[i] = cs;
      ca_attach(cs);
      scales[i] = (double *) cs->ptr;
      rb_ary_store(vscales, i, vs);
    }
  }

  out_rank = 0;
  for (i=0; i<ca->rank; i++) {
    vs = rb_ary_entry(vvalues, i);
    if ( NIL_P(vs) ) {
      out_dim[out_rank++] = ca->dim[i];
      values[i] = NULL;
    }
    else {
      values[i] = ca_wrap_readonly(vs, CA_DOUBLE);
      if ( values[i]->obj_type != CA_OBJ_SCALAR ) {
        out_dim[out_rank++] = values[i]->elements;
      }
      rb_ary_store(vvalues, i, vs);
    }
  }

  if ( out_rank == 0 ) {
    out = rb_cscalar_new(CA_DOUBLE, 0, NULL);
  }
  else {
    out = rb_carray_new(CA_DOUBLE, out_rank, out_dim, 0, NULL);
  }

  Data_Get_Struct(out, CArray, co);

  for (i=0; i<ca->rank; i++) {
    if ( values[i] ) {
      ca_attach(values[i]);
    }
  }

  ca_attach(ca);
  ca_interpolate(ca, scales, values, (double*) co->ptr);
  ca_detach(ca);

  for (i=0; i<ca->rank; i++) {
    if ( values[i] ) {
      ca_detach(values[i]);
    }
    if ( scales[i] ) {
      ca_detach(scales_ca[i]);
    }
  }

  if ( out_rank == 0 ) {
    return rb_ca_fetch_addr(out, 0);
  }
  else {
    return out;
  }
}

#interpolateObject



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# File 'ext/calculus/carray_calculus.c', line 594

static VALUE
rb_ca_interpolate (int argc, VALUE *argv, VALUE self)
{
  volatile VALUE rval = self;
  volatile VALUE vsc, vx, ropt, rtype = Qnil, out0, out;
  CArray *ca, *sc, *cv, *cx, *co0, *co;
  char *typename = NULL;
  int type = 0;
  double *px, *po;
  ca_size_t i;

  Data_Get_Struct(self, CArray, ca);

  rb_scan_args(argc, argv, "21", &vsc, &vx, &ropt);
  rb_scan_options(ropt, "type", &rtype);

  if ( ! NIL_P(rtype) ) {
    Check_Type(rtype, T_STRING);
    typename = StringValuePtr(rtype);
  }

  if ( typename == NULL || ! strncmp("cubic", typename, 5) ) {
    type = 3;
  }
  else if ( ! strncmp("linear", typename, 6) ) {
    type = 1;
  }
  else {
    volatile VALUE inspect = rb_inspect(rtype);
    rb_raise(rb_eRuntimeError, 
             "invalid interpolation type <%s>", StringValuePtr(inspect));
  }

  cv = ca_wrap_readonly(rval, CA_DOUBLE);
  sc = ca_wrap_readonly(vsc,  CA_DOUBLE);

  if ( ca_is_any_masked(cv) || ca_is_any_masked(sc) ) {
    rb_raise(rb_eRuntimeError,
             "can't calculate interpolation when masked elements exist");
  }

  if ( cv->elements != sc->elements ) {
    rb_raise(rb_eRuntimeError, "data num mismatch with scale");
  }

  cx = ca_wrap_readonly(vx,   CA_DOUBLE);

  co0 = carray_new(ca->data_type, cx->rank, cx->dim, 0, NULL);
  out = out0 = ca_wrap_struct(co0);
  co = ca_wrap_writable(out, CA_DOUBLE);

  ca_attach_n(4, cv, sc, cx, co);

  px = (double*) cx->ptr;
  po = (double*) co->ptr;

  ca_update_mask(cx);
  if ( cx->mask ) {
    boolean8_t *mx, *mo;
    ca_create_mask(co);
    mx = (boolean8_t *) cx->mask->ptr;
    mo = (boolean8_t *) co->mask->ptr;
    if ( type == 3 ) {
      for (i=0; i<cx->elements; i++) {
        if ( ! *mx ) {
          *po = interpolate_cubic((double*)sc->ptr, (double*)cv->ptr, 
                                  cv->elements, *px);
        }
        else {
          *mo = 1;
        }
        mx++; mo++; po++; px++;
      }
    }
    else {
      for (i=0; i<cx->elements; i++) {
        if ( ! *mx ) {
          *po = interpolate_linear((double*)sc->ptr, (double*)cv->ptr, 
                                   cv->elements, *px);
        }
        else {
          *mo = 1;
        }
        mx++; mo++; po++; px++;
      }
    }
  }
  else {
    if ( type == 3 ) {
      for (i=0; i<cx->elements; i++) {
        *po++ = interpolate_cubic((double*)sc->ptr, (double*)cv->ptr, 
                                  cv->elements, *px++);
      }
    }
    else {
      for (i=0; i<cx->elements; i++) {
        *po++ = interpolate_linear((double*)sc->ptr, (double*)cv->ptr, 
                                   cv->elements, *px++);
      }
    }
  }

  ca_sync(co);
  ca_detach_n(4, cv, sc, cx, co);

  if ( rb_ca_is_scalar(vx) ) {
    return rb_funcall(out0, rb_intern("[]"), 1, INT2NUM(0));
  }
  else {
    return out0;
  }
}

#interpolate2(x, y, x0, y0) ⇒ Object



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# File 'ext/calculus/lib/math/calculus.rb', line 103

def interpolate2 (x, y, x0, y0)
  if x0.is_a?(Numeric) and y0.is_a?(Numeric)
    return _interpolate2(x, y, x0, y0)
  else
    x0 = CArray.wrap_readonly(x0)
    y0 = CArray.wrap_readonly(y0)
    out = CArray.double(x0.size, y0.size)
    x0.each_with_index do |xi, i|
      y0.each_with_index do |yj, j|
        out[i,j] = _interpolate2(x, y, xi, yj)
      end
    end
    return out.compact
  end
end

#is_close(other, atol) ⇒ Object



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# File 'lib/carray/base/math.rb', line 100

def is_close (other, atol)
  return ((self - other).abs <= atol)
end

#is_divisible(n) ⇒ Object



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# File 'lib/carray/base/math.rb', line 104

def is_divisible (n)
  unless integer?
    raise "data type of reciever of CArray#divisible? should be integer."
  end
  return (self % n).eq(0)
end

#is_equiv(other, rtol) ⇒ Object



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# File 'lib/carray/base/math.rb', line 94

def is_equiv (other, rtol)
  exact_eq    = self.eq(other)
  relative_eq = ((self - other).abs/CAMath.max(self.abs, other.abs) <= rtol)
  return (exact_eq).or(relative_eq)
end

#is_not_divisible(n) ⇒ Object



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# File 'lib/carray/base/math.rb', line 111

def is_not_divisible (n)
  unless integer?
    raise "data type of reciever of CArray#divisible? should be integer."
  end
  return (self % n).ne(0)
end

#is_realObject



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# File 'lib/carray/base/math.rb', line 128

def is_real
  if complex?
    imag.eq(0)
  elsif numeric?
    self.true
  else
    nil
  end
end

#join(*argv) ⇒ Object

Array#join like method

> a = CArray.object(3,3).seq(“a”,:succ)

> <CArray.object(3,3): elem=9 mem=72b

[ [ “a”, “b”, “c” ],

[ "d", "e", "f" ],
[ "g", "h", "i" ] ]>

> a.join(“n”,“,”)

> “a,b,cnd,e,fng,h,i”



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# File 'lib/carray/base/basic.rb', line 755

def join (*argv)
  case argv.size
  when 0
    return to_a.join()
  when 1
    sep = argv.shift
    return to_a.join(sep)
  else
    sep = argv.shift
    return self[:i, false].map { |s|
        s[0, false].join(*argv)
    }.join(sep)
  end
end

#lastObject



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# File 'lib/carray/base/basic.rb', line 191

def last
  self[-1]
end

#map(&block) ⇒ Object

Returns map



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# File 'lib/carray/base/basic.rb', line 739

def map (&block)
  return self.convert(CA_OBJECT, &block).to_a
end

#marshal_dumpObject

for Marshal



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# File 'lib/carray/base/serialize.rb', line 203

def marshal_dump ()
  if self.class != CArray and self.class != CScalar
    raise TypeError, "can't dump a virtual or wrapped array."
  end
  return CArray.dump(self)
end

#marshal_load(data) ⇒ Object



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# File 'lib/carray/base/serialize.rb', line 210

def marshal_load (data)
  io = StringIO.new(data)
  ca = CArray.load(io)
  initialize_copy(ca)
end

#maskout(*argv) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 244

def maskout (*argv)
  obj = self.to_ca
  if argv.size == 1
    val = argv.first
    case val
    when CArray, Symbol
      obj[val] = UNDEF
    else
      obj[:eq, val] = UNDEF
    end
  else
    obj[*argv] = UNDEF      
  end
  return obj
end

#maskout!(*argv) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 229

def maskout! (*argv)
  if argv.size == 1
    val = argv.first
    case val
    when CArray, Symbol
      self[val] = UNDEF
    else
      self[:eq, val] = UNDEF
    end
  else
    self[*argv] = UNDEF          
  end
  return self
end

#matchup(ref) ⇒ Object

matchup



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# File 'lib/carray/base/basic.rb', line 262

def matchup (ref)
  ri = ref.sort_addr
  rs = ref[ri].to_ca
  si = rs.bsearch(self)
  return ri.project(si)
end

#matchup_nearest(ref) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 269

def matchup_nearest (ref)
  ri = ref.sort_addr
  rs = ref[ri].to_ca
  si = rs.section(self).round.int32
  si.trim!(0,si.size)
  return ri[si].to_ca
end

#max_by(&block) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 406

def max_by (&block)
  if empty?
    return UNDEF
  else
    addr = convert(:object, &block).max_addr
    return self[addr]
  end
end

#median(*argv) ⇒ Object



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# File 'lib/carray/base/math.rb', line 239

def median (*argv)
  opt = argv.last.is_a?(Hash) ? argv.pop : {}
  min_count  = opt[:mask_limit]
  if min_count and min_count < 0
    min_count += elements
  end
  fill_value = opt[:fill_value]
  if argv.empty?
    if has_mask?
      if min_count and count_masked() > min_count
        return fill_value || UNDEF
      end
      c = self[:is_not_masked].sort
      n = self.count_not_masked
    else
      c = self.sort
      n = c.elements
    end
    if n == 0
      return fill_value || UNDEF
    else
      return (c[(n-1)/2] + c[n/2])/2.0
    end
  else
    raise "CArray#median is not implemented for multiple ranks"
  end

end

#min_by(&block) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 415

def min_by (&block)
  if empty?
    return UNDEF
  else
    addr = convert(:object, &block).min_addr
    return self[addr]
  end
end

#naObject

rdoc:

class CArray
  def na
  end
  def nv
  end
  def nm
  end
end


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# File 'ext/narray/ca_wrap_narray.c', line 188

static VALUE
rb_cary_na_ref_new (int argc, VALUE *argv, VALUE self)
{
  return rb_cary_na_ref_new_i(argc, argv, self, cNArray);
}

#nmObject

CArray -> NMatrix



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# File 'ext/narray/ca_wrap_narray.c', line 200

static VALUE
rb_cary_nm_ref_new (int argc, VALUE *argv, VALUE self)
{
  return rb_cary_na_ref_new_i(argc, argv, self, cNMatrix);
}

#normalize(scale = nil) ⇒ Object



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# File 'ext/calculus/lib/math/calculus.rb', line 15

def normalize (scale = nil)
  if scale
    return self / self.integrate(scale)
  else
    return self / self.sum
  end
end

#normalize!(scale = nil) ⇒ Object



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# File 'ext/calculus/lib/math/calculus.rb', line 23

def normalize! (scale = nil)
  self[] = normalize(scale)
  return self
end

#nvObject

CArray -> NVector



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# File 'ext/narray/ca_wrap_narray.c', line 194

static VALUE
rb_cary_nv_ref_new (int argc, VALUE *argv, VALUE self)
{
  return rb_cary_na_ref_new_i(argc, argv, self, cNVector);
}

#order(dir = 1) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 553

def order (dir = 1)
  if dir >= 0   ### ascending order
    if has_mask?
      obj = template(:int32) { UNDEF }
      sel = is_not_masked
      obj[sel][self[sel].sort_addr].seq!
      return obj
    else
      obj = template(:int32)
      obj[sort_addr].seq!
      return obj
    end
  else           ### descending order
    if has_mask?
      obj = template(:int32) { UNDEF}
      sel = is_not_masked
      obj[sel][self[sel].sort_addr.reversed].seq!
      return obj
    else  
      obj = template(:int32)
      obj[sort_addr.reversed].seq!
      return obj
    end
  end
end

#percentile(*argv) ⇒ Object



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# File 'lib/carray/base/math.rb', line 268

def percentile (*argv)
  opt = argv.last.is_a?(Hash) ? argv.pop : {}
  pers = argv
  min_count  = opt[:mask_limit]
  if min_count and min_count < 0
    min_count += elements
  end
  fill_value = opt[:fill_value]
  if has_mask?
    if min_count and count_masked() > min_count
      return argv.map { fill_value || UNDEF }
    end
    ca = self[:is_not_masked].sort
    n  = self.count_not_masked
  else
    ca = self.sort
    n  = ca.elements
  end
  out = []
  begin
  pers.each do |per|
    if per == 100
      out << ca[n-1]
    elsif per >= 0 and per < 100
      if n > 1
        f = (n-1)*per/100.0
        k = f.floor
        r = f - k
        out << (1-r)*ca[k] + r*ca[k+1]
      else
        out << ca[0]
      end
    else
      out << CA_NAN
    end
  end
rescue
  p self[:is_not_masked]
  p n
  raise
end
  return out
end

#pull(*args) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 329

def pull (*args)
  idx = args.map{|s| s.nil? ? :% : s}
  return self[*idx].to_ca
end

#pulled(*args) ⇒ Object

pulled



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# File 'lib/carray/base/basic.rb', line 324

def pulled (*args)
  idx = args.map{|s| s.nil? ? :% : s}
  return self[*idx]
end

#quantileObject



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# File 'lib/carray/base/math.rb', line 312

def quantile 
  return percentile(0, 25, 50, 75, 100)
end

#quo(other) ⇒ Object



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# File 'lib/carray/base/math.rb', line 148

def quo (other)
  case 
  when integer?
    return double/other
  when object?
    return quo_i(other)
  else
    return self/other
  end
end

#rad_2piObject



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# File 'ext/mathfunc/carray_mathfunc.c', line 116

static VALUE 
rb_ca_rad_2pi (VALUE self)
{
  return ca_call_cfunc_1_1(CA_DOUBLE, CA_DOUBLE, mathfunc_rad_2pi, self);
}

#rad_2pi!Object



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# File 'ext/mathfunc/carray_mathfunc.c', line 122

static VALUE 
rb_ca_rad_2pi_bang (VALUE self)
{
  volatile VALUE out;
  out = ca_call_cfunc_1_1(CA_DOUBLE, CA_DOUBLE, mathfunc_rad_2pi, self);
  rb_funcall(self, rb_intern("[]="), 1, out);
  return self;
}

#rad_piObject



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# File 'ext/mathfunc/carray_mathfunc.c', line 158

static VALUE 
rb_ca_rad_pi (VALUE self)
{
  return ca_call_cfunc_1_1(CA_DOUBLE, CA_DOUBLE, mathfunc_rad_pi, self);
}

#rad_pi!Object



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# File 'ext/mathfunc/carray_mathfunc.c', line 164

static VALUE 
rb_ca_rad_pi_bang (VALUE self)
{
  volatile VALUE out;
  out = ca_call_cfunc_1_1(CA_DOUBLE, CA_DOUBLE, mathfunc_rad_pi, self);
  rb_funcall(self, rb_intern("[]="), 1, out);
  return self;
}

#random(*argv) ⇒ Object

statistics



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# File 'lib/carray/base/math.rb', line 200

def random (*argv)
  return template.random!(*argv)
end

#randomnObject



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# File 'lib/carray/base/math.rb', line 223

def randomn
  return template.randomn!
end

#randomn!Object



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# File 'lib/carray/base/math.rb', line 204

def randomn!
  if elements == 1
    self[0] = CArray.new(data_type,[2]).randomn![0]
    return self
  end
  x1 = CArray.new(data_type, [elements/2])
  x2 = CArray.new(data_type, [elements/2])
  fac = x1.random!.log!.mul!(-2.0).sqrt!    ### fac = sqrt(-2*log(rnd()))
  x2.random!.mul!(2.0*Math::PI)             ### x2  = 2*PI*rnd()
  x3 = x2.to_ca
  self2 = reshape(2,elements/2)
  self2[0,nil] = x2.cos!.mul!(fac)          ### self[even] = fac*cos(x2)
  self2[1,nil] = x3.sin!.mul!(fac)          ### self[odd]  = fac*sin(x2)
  if elements % 2 == 1
    self[[-1]].randomn!
  end
  return self
end

#rangeObject



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# File 'lib/carray/base/basic.rb', line 195

def range
  return (self.min)..(self.max)
end

#realObject

Return the real part of self. If self is a complex array, the resulted array is CAMember object refers the appropriate part of self. Otherwise, the resulted array is CARefer object refers self. If you change the resulted array, the original array is also changed.



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# File 'lib/carray/base/math.rb', line 23

def real
  if not @__real__
    if complex?
      @__real__ = case data_type
                  when CA_CMPLX64
                    field(0, CA_FLOAT32)
                  when CA_CMPLX128
                    field(0, CA_FLOAT64)
                  when CA_CMPLX128
                    field(0, CA_FLOAT128)
                  end
    else
      @__real__ = self[]
    end
  end
  @__real__
end

#real=(val) ⇒ Object



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# File 'lib/carray/base/math.rb', line 41

def real= (val)
  real[] = val
end

#real?Boolean

Returns:

  • (Boolean)


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# File 'lib/carray/base/math.rb', line 118

def real?
  if complex?
    imag.all_equal?(0)
  elsif numeric?
    true
  else
    nil
  end
end

#recurrence(*argv, &block) ⇒ Object



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# File 'lib/carray/math/recurrence.rb', line 73

def recurrence (*argv, &block)
  return self.template.recurrence!(*argv, &block)
end

#recurrence!(init = {}, &block) ⇒ Object



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# File 'lib/carray/math/recurrence.rb', line 67

def recurrence! (init = {}, &block)
  lazy = CARecurrence.new(self, init, &block)
  CArray.attach(lazy) {}
  return self
end

#replace(from, to) ⇒ Object

replace



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# File 'lib/carray/base/basic.rb', line 280

def replace (from, to)
  self[:eq, from] = to
  return self
end

#reshape(*newdim) ⇒ Object

reshape



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# File 'lib/carray/base/basic.rb', line 287

def reshape (*newdim)
  ifalse = nil
  i = 0
  0.upto(newdim.size-1) do |i|
    if newdim[i].nil?
      newdim[i] = dim[i]
    elsif newdim[i] == false 
      ifalse = i
      break
    end
  end
  k = 0
  (newdim.size-1).downto(i+1) do |j|
    if newdim[j].nil?
      newdim[j] = dim[rank-1-k]
    end
    k += 1
  end
  if ifalse
    newdim[ifalse] = 
        elements/newdim.select{|x| x!=false}.inject(1){|s,x| s*x}
  end
  return refer(data_type, newdim, :bytes=>bytes)
end

#resize(*newdim, &block) ⇒ Object

Returns the array resized to the dimension given as newdim. The new area is filled by the value returned by the block.



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# File 'lib/carray/base/basic.rb', line 442

def resize (*newdim, &block)
  if newdim.size != rank
    raise "rank mismatch"
  end
  offset = Array.new(rank){0}
  rank.times do |i|
    d = newdim[i]
    case d
    when nil
      newdim[i] = dim[i]
    when Integer
      if d < 0
        newdim[i] *= -1
        offset[i] = newdim[i] - dim[i]
      end
    else
      raise "invalid dimension size"
    end
  end
  out = CArray.new(data_type, newdim, &block)
  if out.has_mask?
    out.mask.paste(offset, self.false)
  end
  out.paste(offset, self)
  return out
end

#reversedObject

reversed



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# File 'lib/carray/base/basic.rb', line 336

def reversed
  return self[*([-1..0]*rank)]
end

#roll(*argv) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 361

def roll (*argv)
  return self.rolled(*argv).to_ca
end

#roll!(*argv) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 356

def roll! (*argv)
  self[] = self.rolled(*argv)
  return self
end

#rolled(*argv) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 351

def rolled (*argv)
  argv.push({:roll => Array.new(rank){1} })
  return shifted(*argv)
end

#rotate(*argv) ⇒ Object

:nodoc:



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# File 'lib/carray/base/obsolete.rb', line 31

def rotate (*argv)                   # :nodoc:
  warn "CArray#rotate will be obsolete, use CArray#roll"
  return self.rolled(*argv).to_ca
end

#rotate!(*argv) ⇒ Object

:nodoc:



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# File 'lib/carray/base/obsolete.rb', line 25

def rotate! (*argv)                  # :nodoc:
  warn "CArray#rotate! will be obsolete, use CArray#roll!"
  self[] = self.rolled(*argv)
  return self
end

#rotated(*argv) ⇒ Object

:nodoc:



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# File 'lib/carray/base/obsolete.rb', line 19

def rotated (*argv)                  # :nodoc:
  warn "CArray#rotated will be obsolete, use CArray#rolled"
  argv.push({:roll => Array.new(rank){1} })
  return shifted(*argv)
end

#save_binary(filename, opt = {}) ⇒ Object

obsolete methods



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# File 'lib/carray/base/serialize.rb', line 218

def save_binary (filename, opt={})    # :nodoc: 
  warn "CArray#save_binary will be obsolete, use CArray.save"
  open(filename, "w") { |io|
    return Serializer.new(io).save(self, opt)
  }
end

#save_binary_io(io, opt = {}) ⇒ Object

:nodoc:



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# File 'lib/carray/base/serialize.rb', line 232

def save_binary_io (io, opt={})        # :nodoc:
  warn "CArray#save_binary_io will be obsolete, use CArray.save"
  return Serializer.new(io).save(self, opt) 
end

#save_by_magick(filename, image_type = nil, options = "") ⇒ Object



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# File 'lib/carray/io/imagemagick.rb', line 153

def save_by_magick (filename, image_type = nil, options = "")
  unless image_type
    image_type = magick_guess_image_type()
  end
  unless image_type
    raise "please specify image_type"
  end
  quantum_format = self.float? ? "-define quantum:format=floating-point" : ""
  case self.data_type
  when CA_INT8, CA_UINT8
    depth = "-depth 8"
  when CA_INT16, CA_UINT16
    depth = "-depth 16"
  when CA_FLOAT32
    depth = "-depth 32"
  when CA_FLOAT64
    depth = "-depth 64"
  when CA_FIXLEN
    depth = "-depth #{8*bytes}"
  else
    depth = "-depth 8"
  end
  convert_command = [
                     "convert",
                     depth,
                     "-size " + [dim1, dim0].join("x"),
                     quantum_format,
                     options,
                     "#{image_type}:-",
                     filename
                    ].join(" ")
  begin
    IO.popen(convert_command, "w") { |io|
      if data_type != CA_FIXLEN and data_type != CA_OBJECT
        if bytes > 1 and CArray.endian == CA_LITTLE_ENDIAN
          self.dump_binary(io)
#            swap_bytes.dump_binary(io)
        else
          self.dump_binary(io)
        end
      else
        self.dump_binary(io)
      end
    }
  rescue
    raise "ImageMagick's convert command failed to write image file '#{filename}'"
  end
end

#save_csv(file, option = {}, rs: $/, sep: ",", fill: "", mode: "w", &block) ⇒ Object



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# File 'lib/carray/io/csv.rb', line 540

def save_csv (file, option = {}, rs: $/, sep: ",", fill: "", mode: "w", &block)
  option = {:sep=>sep, :rs=>rs, :fill=>fill, :mode=>mode}.update(option)
  writer = CA::CSVWriter.new(option[:sep], option[:rs], option[:fill], &block)
  return writer.write_file(self, file, option[:mode])
end

#scale(xa, xb) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 681

def scale (xa, xb)
  template.scale!(xa, xb)
end

#scale!(xa, xb) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 675

def scale! (xa, xb)
  xa = xa.to_f
  xb = xb.to_f
  seq!(xa, (xb-xa)/(elements-1))
end

#sectionObject



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# File 'ext/calculus/carray_calculus.c', line 191

static VALUE
rb_ca_binary_search_linear_index (volatile VALUE self, volatile VALUE vx)
{
  volatile VALUE out, out0;
  CArray *ca, *sc, *cx, *co0, *co;
  ca_size_t n;
  double *x;
  double *px;
  double *po;
  ca_size_t i;

  Data_Get_Struct(self, CArray, ca);

  if ( rb_ca_is_any_masked(self) ) {
    rb_raise(rb_eRuntimeError, "self should not have any masked elements");
  }

  sc = ca_wrap_readonly(self, CA_FLOAT64);
  cx = ca_wrap_readonly(vx, CA_FLOAT64);

  co0 = carray_new(ca->data_type, cx->rank, cx->dim, 0, NULL);
  out = out0 = ca_wrap_struct(co0);
  co = ca_wrap_writable(out, CA_FLOAT64);

  ca_attach_n(3, sc, cx, co);

  n = sc->elements;
  x  = (double*) sc->ptr;
  px = (double*) cx->ptr;
  po = (double*) co->ptr;

  ca_update_mask(cx);
  if ( cx->mask ) {
    boolean8_t *mx, *mo;
    ca_create_mask(co);
    mx = (boolean8_t *) cx->mask->ptr;
    mo = (boolean8_t *) co->mask->ptr;
    for (i=0; i<cx->elements; i++) {
      if ( ! *mx ) {
        linear_index(n, x, *px, po);
      }
      else {
        *mo = 1;
      }
      mx++; mo++; px++, po++;
    }
  }
  else {
    for (i=0; i<cx->elements; i++) {
      linear_index(n, x, *px, po);
      px++, po++;
    }
  }

  ca_sync(co);
  ca_detach_n(3, sc, cx, co);

  if ( rb_ca_is_scalar(vx) ) {
    return rb_funcall(out0, rb_intern("[]"), 1, INT2NUM(0));
  }
  else {
    return out0;
  }
}

#select(&block) ⇒ Object

:nodoc:



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# File 'lib/carray/base/obsolete.rb', line 36

def select (&block)                  # :nodoc:
  warn "CArray#select will be obsolete"
  case block.arity
  when 1
    return self[*yield(self)]
  when -1, 0
    return self[*instance_exec(&block)]
  else
    raise
  end
end

#shift(*argv, &block) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 347

def shift (*argv, &block)
  return self.shifted(*argv, &block).to_ca
end

#shift!(*argv, &block) ⇒ Object

roll / shift



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# File 'lib/carray/base/basic.rb', line 342

def shift! (*argv, &block)
  self[] = self.shifted(*argv, &block)
  return self
end

#signObject



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# File 'lib/carray/base/math.rb', line 138

def sign
  out = self.zero
  out[self.lt(0)] = -1
  out[self.gt(0)] = 1
  if float?
    out[self.is_nan] = 0.0/0.0
  end
  return out
end

#solve(sc, val, eps = 100 * Float::EPSILON) ⇒ Object



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# File 'ext/calculus/lib/math/calculus.rb', line 28

def solve (sc, val, eps = 100 * Float::EPSILON)
  func = self - val
  list, output = [], []
  (0...dim0-1).each do |i|
    if func[i] == UNDEF
    elsif func[i].abs < eps and not list.include?(i-1)
      output.push(sc[i])
    elsif func[i+1] == UNDEF
    elsif i < dim0 - 1 and func[i]*func[i+1] < 0
      list.push(i)
    end
  end
  list.each do |i|
    sx = CArray.double(4)
    sy = CArray.double(4)
    sx[0], sx[3] = sc[i], sc[i+1]
    sy[0], sy[3] = func[i], func[i+1]
    sx[1], sx[2] = (2.0*sx[0]+sx[3])/3.0, (sx[0]+2.0*sx[3])/3.0
    sy[1], sy[2] = func.interpolate(sc, sx[1], :type=>"linear"), func.interpolate(sc, sx[2], :type=>"linear")
    output.push(sx.interpolate(sy, 0))
  end
  return output.uniq
end

#solve2(sc, eps = 100 * Float::EPSILON) ⇒ Object



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# File 'ext/calculus/lib/math/calculus.rb', line 52

def solve2 (sc, eps = 100 * Float::EPSILON)
  retvals = []
  self.dim1.times do |j|
    func = self[nil,j].to_ca
    list, output = [], []
    (0...dim0-1).each do |i|
      if func[i] == UNDEF
      elsif func[i].abs < eps and not list.include?(i-1)
        output.push(sc[i])
      elsif func[i+1] == UNDEF
      elsif i < dim0 - 1 and func[i]*func[i+1] < 0
        list.push(i)
      end
    end
    list.each do |i|
      sx = CArray.double(4)
      sy = CArray.double(4)
      sx[0], sx[3] = sc[i], sc[i+1]
      sy[0], sy[3] = func[i], func[i+1]
      sx[1], sx[2] = (2*sx[0]+sx[3])/3, (sx[0]+2*sx[3])/3
      sy[1], sy[2] = func.interpolate(sc, sx[1], :type=>"linear"), func.interpolate(sc, sx[2], :type=>"linear")
      output.push(sx.interpolate(sy, 0))
    end
    retvals << output.uniq
  end
  retvals = retvals.map{|s| s.empty? ? [nil] : s}
  return retvals
end

#sort_by(type = nil, opt = {}, &block) ⇒ Object

Returns the array which elements are sorted by the comparison method given as block



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# File 'lib/carray/base/basic.rb', line 399

def sort_by (type=nil, opt={}, &block)
  type, bytes =
    CArray.guess_type_and_bytes(type||data_type, opt[:bytes]||bytes)
  cmpary = convert(type, :bytes=>bytes, &block)
  return self[cmpary.sort_addr].to_ca
end

#sorted_by(type = nil, opt = {}, &block) ⇒ Object

Returns the reference which elements are sorted by the comparison method given as block



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# File 'lib/carray/base/basic.rb', line 390

def sorted_by (type=nil, opt={}, &block)
  type, bytes =
    CArray.guess_type_and_bytes(type||data_type, opt[:bytes]||bytes)
  cmpary = convert(type, :bytes=>bytes, &block)
  return self[cmpary.sort_addr]
end

#span(range) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 667

def span (range)
  return template.span!(range)
end

#span!(range) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 656

def span! (range)
  first = range.begin.to_r
  last  = range.end.to_r
  if range.exclude_end?
    seq!(first, (last-first)/elements)
  else
    seq!(first, (last-first)/(elements-1))
  end
  return self
end

#split(*argv) ⇒ Object

Returns object carray has elements of splitted carray at dimensions

  which is given by arguments

a = CA_INT([[1,2,3], [4,5,6], [7,8,9]])

a.split(0) 
  [1,2,3], [4,5,6], [7,8,9]

a.split(1)
  [1,4,7], [2,5,8], [3,6,9]


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# File 'lib/carray/base/basic.rb', line 1020

def split (*argv)
  odim = dim.values_at(*argv)
  out  = CArray.object(*odim)
  idx  = [nil] * rank
  attach {
    out.map_with_index! do |o, v|
      argv.each_with_index do |r, i|
        idx[r] = v[i]
      end
      self[*idx].to_ca
    end
  }
  return out
end

#stObject



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# File 'lib/carray/base/struct.rb', line 79

def st
  unless has_data_class?
    raise "should have data_class"
  end
  unless @struct
    struct_class = Struct.new(nil, *data_class::MEMBERS)
    members = data_class::MEMBERS.map{|name| self[name]}
    @struct = struct_class.new(*members)
  end
  return @struct
end

#to_binary(io = "", opt = {}) ⇒ Object

:nodoc:



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# File 'lib/carray/base/serialize.rb', line 242

def to_binary (io="", opt={})          # :nodoc:
  warn "CArray#to_binary will be obsolete, use CArray.dump"
  Serializer.new(io).save(self, opt) 
  return io
end

#to_bit_string(nb) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 771

def to_bit_string (nb)
  hex = CArray.uint8(((nb*elements)/8.0).ceil)
  hex.bits[nil].paste([0], self.bits[false,[(nb-1)..0]].flatten)
  hex.bits[] = hex.bits[nil,[-1..0]]
  return hex.to_s
end

#to_columnObject

Returns (n,1) array from 1-dimensional array



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# File 'lib/carray/base/basic.rb', line 433

def to_column
  if rank != 1
    raise "rank should be 1"
  end
  return self[:%,1]
end

#to_csv(io = "", option = {}, rs: $/, sep: ",", fill: "", &block) ⇒ Object



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# File 'lib/carray/io/csv.rb', line 546

def to_csv (io="", option ={}, rs: $/, sep: ",", fill: "", &block)
  option = {:sep=>sep, :rs=>rs, :fill=>fill}.update(option)
  writer = CA::CSVWriter.new(option[:sep], option[:rs], option[:fill], &block)
  case io
  when IO, StringIO
    return writer.write_io(self, io)
  when String
    return writer.write_string(self, io)
  end
end

#to_fortran_format(fmt, input = "") ⇒ Object



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# File 'ext/fortio/lib/carray/io/fortran_format.rb', line 21

def to_fortran_format (fmt, input="")
  case input
  when String
    io = StringIO.new(input)
  else
    io = input
  end
  case fmt
  when String
    fmt = FortranFormat.new(fmt)
  end
  n = fmt.count_args
  attach {
    self[nil].blocks(0...n).each do |blk|
      fmt.write(io, *blk.to_a)
    end
  }
  return input
end

#to_naObject

rdoc:

class CArray
  def to_na
  end
  def to_nv
  end
  def to_nm
  end
end


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# File 'ext/narray/ca_wrap_narray.c', line 317

static VALUE
rb_cary_to_na (VALUE self, VALUE klass)
{
  return rb_cary_to_na_i(self, cNArray);
}

#to_na!Object

rdoc:

class CArray
  def to_na!
  end
  def to_nv!
  end
  def to_nm!
  end
end


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# File 'ext/narray/ca_wrap_narray.c', line 254

static VALUE
rb_cary_to_na_bang (VALUE self)
{
  return rb_cary_to_na_bang_i(self, cNArray);
}

#to_namObject



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# File 'ext/narray/lib/math/narray_miss.rb', line 17

def to_nam
  if has_mask?
    return NArrayMiss.to_nam_no_dup(to_na, mask.bit_neg.na)
  else
    return NArrayMiss.to_nam_no_dup(to_na)
  end
end

#to_nam!Object



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# File 'ext/narray/lib/math/narray_miss.rb', line 25

def to_nam!
  if has_mask?
    return NArrayMiss.to_nam_no_dup(to_na!, mask.bit_neg.to_na!)
  else
    return NArrayMiss.to_nam_no_dup(to_na!)
  end
end

#to_nmObject



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# File 'ext/narray/ca_wrap_narray.c', line 329

static VALUE
rb_cary_to_nm (VALUE self, VALUE klass)
{
  return rb_cary_to_na_i(self, cNMatrix);
}

#to_nm!Object



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# File 'ext/narray/ca_wrap_narray.c', line 266

static VALUE
rb_cary_to_nm_bang (VALUE self)
{
  return rb_cary_to_na_bang_i(self, cNMatrix);
}

#to_nvObject



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# File 'ext/narray/ca_wrap_narray.c', line 323

static VALUE
rb_cary_to_nv (VALUE self, VALUE klass)
{
  return rb_cary_to_na_i(self, cNVector);
}

#to_nv!Object



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# File 'ext/narray/ca_wrap_narray.c', line 260

static VALUE
rb_cary_to_nv_bang (VALUE self)
{
  return rb_cary_to_na_bang_i(self, cNVector);
}

#to_rowObject

Returns (1,n) array from 1-dimensional array



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# File 'lib/carray/base/basic.rb', line 425

def to_row 
  if rank != 1
    raise "rank should be 1"
  end
  return self[1,:%]
end

#to_sqlite3(database: nil, table:, datatype: "numeric", schema: nil, transaction: true) ⇒ Object



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# File 'lib/carray/io/sqlite3.rb', line 33

def to_sqlite3 (database: nil, table:, datatype: "numeric", schema: nil, transaction: true)
  unless rank <= 2
    raise "to_sqlite3 is valid only for 2-dim array (table)"
  end
  case database
  when SQLite3::Database
  when String
    if File.exist? database
      database = SQLite3::Database.open(database)
    else
      database = SQLite3::Database.new(database)        
    end
  else
    database = SQLite3::Database.new ":memory:"
  end
  if respond_to?(:column_names) and column_names
    vars = column_names
  else
    if rank == 1
      vars = ["c0"]
    else
      vars = CArray.object(dim1).seq.map{|s| "c#{s}" }
    end
  end
  
  if schema
    database.execute "create table if not exists #{table} (" + schema + ")"          
  else
    database.execute "create table if not exists #{table} (" + vars.map{|s| s + " " + datatype }.join(",") + ")"
  end

  insert = database.prepare %{ insert or replace into #{table} values (#{(["?"]*vars.size).join(",")}) }
  database.transaction if transaction
  if rank == 1
    dim0.times do |i|
      insert.execute [self[i]]
    end
  else
    begin
      dim0.times do |i|
        begin
         insert.execute self[i,nil].to_a
        rescue
          puts self[i,nil].to_a
          raise $!
        end
      end
    end
  end
  database.commit if transaction
  insert.close
  return database
end

#to_tabular(option = {}) ⇒ Object



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# File 'lib/carray/io/csv.rb', line 557

def to_tabular (option = {})
  option = {:sep=>" ", :names=>nil}.update(option)
  if option[:names]
    names = option[:names]
  elsif self.respond_to?(:names)
    names = self.names
  end
  sep = option[:sep]
  data = self.to_ca.map! {|s| s.to_s }
  table  = CArray.join([names.to_ca], [data])
  length = table.convert{|s| s.length}.max(0)
  table.map_with_index! {|s, idx| s.rjust(length[idx[1]]) }.to_csv.gsub(/,/,sep)
end

#transform(type, dim, opt = {}) ⇒ Object

:nodoc:



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# File 'lib/carray/base/obsolete.rb', line 48

def transform (type, dim, opt = {}) # :nodoc:
  warn("CArray#transform will be obsolete")
  return refer(type, dim, opt).to_ca
end

#transpose(*argv) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 370

def transpose (*argv)
  return self.transposed(*argv).to_ca
end

#transpose!(*argv) ⇒ Object



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# File 'lib/carray/base/basic.rb', line 365

def transpose! (*argv)
  self[] = self.transposed(*argv)
  return self
end

#trueObject

Returns the 8-bit integer CArray object filled with 1 which dimension size is same as self. The resulted array represents the logical array which has true for its all elements.



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# File 'lib/carray/base/basic.rb', line 734

def true ()
  return template(:boolean) { 1 }
end

#unblob(type, subdim = nil) ⇒ Object



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# File 'lib/carray/io/sqlite3.rb', line 87

def unblob (type, subdim = nil)
  bytes = CArray.sizeof(type)
  elem  = self[0]
  if elem == nil and subdim == nil
    raise "first element is nil, please specify dimension."
  end
  unless subdim
    subdim = [elem.bytesize/bytes]
  end
  out = CArray.new(type, dim + subdim)
  needed_bytes = out.elements/self.elements*bytes
  ref = out.refer(:fixlen, dim, :bytes=>needed_bytes)
  if elem and needed_bytes != elem.bytesize 
    self.each_addr do |addr|
      if self[addr].nil?
        ref[[addr]] = UNDEF
      else
        ref[[addr]].load_binary self[addr]
      end
    end
  elsif self.any_equal?(nil)
    copy  = self.to_ca
    sel   = self.eq(nil)
    copy[sel] = "\0" * needed_bytes
    ref.load_binary copy.join
    ref[sel] = UNDEF
  else
    ref.load_binary self.join
  end
  return out
end

#unescape_bytea(type, subdim = nil) ⇒ Object



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# File 'lib/carray/io/pg.rb', line 72

def unescape_bytea (type, subdim = nil)
  bytes = CArray.sizeof(type)
  max_bytesize = self.convert{|v| v ? PG::Connection.unescape_bytea(v).bytesize : 0}.max
  unless subdim
    subdim = [max_bytesize/bytes]
  end
  out = CArray.new(type, dim + subdim)
  needed_bytes = out.elements/self.elements*bytes
  ref = out.refer(:fixlen, dim, :bytes=>needed_bytes)
  if needed_bytes == max_bytesize
    ref.load_binary self.convert {|v| PG::Connection.unescape_bytea(v) }.join
  else
    self.each_addr do |addr|
      if self[addr]
        text = PG::Connection.unescape_bytea(self[addr])
        ref[[addr]].load_binary PG::Connection.unescape_bytea(self[addr])
      else
        out[addr,false] = UNDEF
      end
    end
  end
  return out
end

#uniqObject

Returns the array eliminated all the duplicated elements.



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# File 'lib/carray/base/basic.rb', line 580

def uniq
  ary = to_a.uniq
  if has_mask?
    ary.delete(UNDEF)
  end
  if has_data_class?
    return CArray.new(data_class, [ary.length]) { ary }
  else
    return CArray.new(data_type, [ary.length], :bytes=>bytes) { ary }
  end
end

#where_rangeObject



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# File 'lib/carray/base/basic.rb', line 542

def where_range
  w = where
  x = (w - w.shifted(1){-2}).sub!(1).where
  y = (w - w.shifted(-1){-2}).add!(1).where
  list = []
  x.each_addr do |i|
    list.push(w[x[i]]..w[y[i]])
  end
  return list
end

#window_iterator(*argv) ⇒ Object

:nodoc:



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# File 'lib/carray/base/obsolete.rb', line 14

def window_iterator (*argv)          # :nodoc:
  warn "CArray#window_iterator will be obsolete, use CArray#windows"
  return windows(*argv)
end

#windows(*args, &block) ⇒ Object



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# File 'lib/carray/base/iterator.rb', line 297

def windows (*args, &block)
  return CAWindowIterator.new(self.window(*args, &block))
end

#zimg(option = {}) ⇒ Object

:nodoc:



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# File 'lib/carray/graphics/zimg.rb', line 48

def zimg (option={}) # :nodoc:

  tempfile = "%zimg_#{$$}_#{@@zimg_count}.dat"
  @@zimg_count += 1

  if self.rank != 2
    raise "zimg accept only 2-D data"
  end

  option.each do |k, v|
    if k.kind_of?(String)
      option[k.intern] = v
    end
  end

  if option[:output]
    output = option[:output]
    case output
    when /.ppm$/
      outfmt = "--ppm"
    when /.pgm$/
      outfmt = "--pgm"
    when /.jpg$/i, /.jpeg$/i
      if option[:quality]
        outfmt = "--jpeg=" + option[:quality].to_s
      else
        outfmt = "--jpeg"
      end
    else
      outfmt = ""
    end
  else
    output = "-"
    outfmt = ""
  end

  if option[:interlace]
    interlace = "--interlace"
  else
    interlace = ""
  end

  case self.data_type
  when CA_UINT8
    type_spec = "--unsigned-char"
  when CA_INT8, CA_BOOLEAN
    type_spec = "--char"
  when CA_UINT16
    type_spec = "--unsigned-short"
  when CA_INT16
    type_spec = "--short"
  when CA_UINT32
    type_spec = "--unsigned-int"
  when CA_INT32
    type_spec = "--int"
  when CA_FLOAT32
    type_spec = "--float"
  when CA_FLOAT64
    type_spec = "--double"
  when CA_CMPLX64
    type_spec = "--complex-float=" + ( option[:complex] || "abs" )
  when CA_CMPLX128
    type_spec = "--complex-double=" + ( option[:complex] || "abs" )
  else
    raise "can't create image for invalid numerical data"
  end

  case option[:colormap]
  when "red", "blue", "gray"
    colormap = "--" + option[:colormap]
  when String
    if File.exist?(option[:colormap])
      colormap = "--colormap=" + option[:colormap]
    else
      raise "can't find colomap file"
    end
  when Array
    colormap = "--colormap=" + option[:colormap].join(",")
  else
    colormap = ""
  end

  if option[:crange]
    crange = "--crange=" + option[:crange].join(',')
  else
    crange = ''
  end

  if option[:nda_color]
    if option[:fill_value]
      nda = "--nda=" + [option[:fill_value], option[:nda_color]].join(',')
    else
      nda = "--nda=" + ["Infinity", option[:nda_color]].join(',')
    end
  else
    nda = ""
  end

  if option[:scale]
    scale = "--scale=" + option[:scale].join(',')
  else
    scale = ''
  end

  if option[:align]
    if option[:align].last.kind_of?(String)
      align = "--align=" + option[:align][0..-2].join('x')
                "," + option[:align].last
    else
      align = "--align=" + option[:align].join('x')
    end
  else
    align = ''
  end

  if option[:colorbox]
    if option[:cbox_tics]
      colorbox = "--colorbox=" + option[:cbox_tics].to_s
    else
      colorbox = "--colorbox"
    end
  else
    colorbox = ""
  end

  if option[:cbox_format]
    cbox_format = option[:cbox_format]
  else
    cbox_format = ""
  end

  if option[:cbox_label]
    cbox_label = option[:cbox_label]
  else
    cbox_label = ""
  end

  geom = lambda{|x,y|
    [ (x > 0 ? "+" : '') + x.to_s, (y > 0 ? '+' :'') + y.to_s].join
  }

  label = ""
  if option[:label]
    option[:label].each do |x, y, s|
      label << "--label=" + [geom[x, y],s].join(',') + " "
    end
  end

  vlabel = ""
  if option[:vlabel]
    option[:vlabel].each do |x, y, s|
      vlabel << "--vlabel=" + [geom[x, y],s].join(',') + " "
    end
  end

  if option[:textfont]
    textfont = "--font=" + option[:textfont].to_s
  else
    textfont = ""
  end

  if option[:textcolor]
    textcolor = "--textcolor=" + option[:textcolor].to_s
  else
    textcolor = ""
  end

  case option[:smooth]
  when Numeric
    smooth = "--smooth=" + option[:smooth].to_s
  else
    if option[:smooth]
      smooth = "--smooth"
    else
      smooth = ""
    end
  end

  command = [
             "zimg",
             "--output=#{output}",
             outfmt,
             interlace,
             type_spec,
             "--size=" + self.dim.reverse.join(","),
             scale,
             align,
             colormap,
             option[:invert] ? "--invert" : "",
             crange,
             nda,
             colorbox,
             cbox_label,
             cbox_format,
             label,
             vlabel,
             textfont,
             textcolor,
             smooth,
             tempfile
            ].join(" ")

  if option[:nda_color] and self.has_mask?
    if option[:fill_value]
      out = self.unmask(option[:fill_value])
    else
      out = self.unmask(nan)
    end
  else
    out = self
  end

  open(tempfile, "w"){ |io|
    out.dump_binary(io)
  }

  if option[:debug]
    puts command
  end

  if option[:output]
    system(command)
    case option[:display]
    when String
      system([option[:display], output].join(" "))
    else
      if option[:display]
        system(["display", output].join(" "))
      end
    end
  else
    case option[:display]
    when String
      system(command + ["|", option[:display], "-"].join(" "))
    else
      if option[:display]
        system(command + ["|", "display -"].join(" "))
      end
    end
  end

ensure
  if File.exist?(tempfile)
    File.unlink(tempfile)
  end
end