The Vector class represents a mathematical vector, which is useful in its own right, and also constitutes a row or column of a Matrix.

Method Catalogue

To create a Vector:

To access elements:

To enumerate the elements:

Vector arithmetic:

  • #*(x) “is matrix or number”

  • #+(v)

  • #-(v)

Vector functions:

Conversion to other data types:

String representations:

Namespace
Methods
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Included Modules
Attributes
[R] elements

INSTANCE CREATION
Class Public methods
[](*array)

Creates a Vector from a list of elements.

Vector[7, 4, ...]

Source: show | on GitHub 

# File lib/matrix.rb, line 1554
def Vector.[](*array)
  new convert_to_array(array, false)
end
elements(array, copy = true)

Creates a vector from an Array. The optional second argument specifies whether the array itself or a copy is used internally.

Source: show | on GitHub 

# File lib/matrix.rb, line 1562
def Vector.elements(array, copy = true)
  new convert_to_array(array, copy)
end
new(array)

::new is private; use Vector[] or ::elements to create.

Source: show | on GitHub 

# File lib/matrix.rb, line 1569
def initialize(array)
  # No checking is done at this point.
  @elements = array
end
Instance Public methods
*(x)

Multiplies the vector by x, where x is a number or another vector.

Source: show | on GitHub 

# File lib/matrix.rb, line 1676
def *(x)
  case x
  when Numeric
    els = @elements.collect{|e| e * x}
    self.class.elements(els, false)
  when Matrix
    Matrix.column_vector(self) * x
  when Vector
    Vector.Raise ErrOperationNotDefined, "*", self.class, x.class
  else
    apply_through_coercion(x, __method__)
  end
end
+(v)

Vector addition.

Source: show | on GitHub 

# File lib/matrix.rb, line 1693
def +(v)
  case v
  when Vector
    Vector.Raise ErrDimensionMismatch if size != v.size
    els = collect2(v) {|v1, v2|
      v1 + v2
    }
    self.class.elements(els, false)
  when Matrix
    Matrix.column_vector(self) + v
  else
    apply_through_coercion(v, __method__)
  end
end
-(v)

Vector subtraction.

Source: show | on GitHub 

# File lib/matrix.rb, line 1711
def -(v)
  case v
  when Vector
    Vector.Raise ErrDimensionMismatch if size != v.size
    els = collect2(v) {|v1, v2|
      v1 - v2
    }
    self.class.elements(els, false)
  when Matrix
    Matrix.column_vector(self) - v
  else
    apply_through_coercion(v, __method__)
  end
end
/(x)

Vector division.

Source: show | on GitHub 

# File lib/matrix.rb, line 1729
def /(x)
  case x
  when Numeric
    els = @elements.collect{|e| e / x}
    self.class.elements(els, false)
  when Matrix, Vector
    Vector.Raise ErrOperationNotDefined, "/", self.class, x.class
  else
    apply_through_coercion(x, __method__)
  end
end
==(other)

Returns true iff the two vectors have the same elements in the same order.

Source: show | on GitHub 

# File lib/matrix.rb, line 1645
def ==(other)
  return false unless Vector === other
  @elements == other.elements
end
[](i)

Returns element number i (starting at zero) of the vector.

Also aliased as: element, component

Source: show | on GitHub 

# File lib/matrix.rb, line 1579
def [](i)
  @elements[i]
end
clone()

Return a copy of the vector.

Source: show | on GitHub 

# File lib/matrix.rb, line 1658
def clone
  self.class.elements(@elements)
end
coerce(other)

The coerce method provides support for Ruby type coercion. This coercion mechanism is used by Ruby to handle mixed-type numeric operations: it is intended to find a compatible common type between the two operands of the operator. See also Numeric#coerce.

Source: show | on GitHub 

# File lib/matrix.rb, line 1842
def coerce(other)
  case other
  when Numeric
    return Matrix::Scalar.new(other), self
  else
    raise TypeError, "#{self.class} can't be coerced into #{other.class}"
  end
end
collect()

Like Array#collect.

Also aliased as: map

Source: show | on GitHub 

# File lib/matrix.rb, line 1762
def collect(&block) # :yield: e
  return to_enum(:collect) unless block_given?
  els = @elements.collect(&block)
  self.class.elements(els, false)
end
collect2(v)

Collects (as in Enumerable#collect) over the elements of this vector and v in conjunction.

Source: show | on GitHub 

# File lib/matrix.rb, line 1629
def collect2(v) # :yield: e1, e2
  raise TypeError, "Integer is not like Vector" if v.kind_of?(Integer)
  Vector.Raise ErrDimensionMismatch if size != v.size
  return to_enum(:collect2, v) unless block_given?
  Array.new(size) do |i|
    yield @elements[i], v[i]
  end
end
component(i)
Alias for: []
covector()

Creates a single-row matrix from this vector.

Source: show | on GitHub 

# File lib/matrix.rb, line 1809
def covector
  Matrix.row_vector(self)
end
each(&block)

Iterate over the elements of this vector

Source: show | on GitHub 

# File lib/matrix.rb, line 1606
def each(&block)
  return to_enum(:each) unless block_given?
  @elements.each(&block)
  self
end
each2(v)

Iterate over the elements of this vector and v in conjunction.

Source: show | on GitHub 

# File lib/matrix.rb, line 1615
def each2(v) # :yield: e1, e2
  raise TypeError, "Integer is not like Vector" if v.kind_of?(Integer)
  Vector.Raise ErrDimensionMismatch if size != v.size
  return to_enum(:each2, v) unless block_given?
  size.times do |i|
    yield @elements[i], v[i]
  end
  self
end
element(i)
Alias for: []
elements_to_f()

Source: show | on GitHub 

# File lib/matrix.rb, line 1820
def elements_to_f
  warn "#{caller(1)[0]}: warning: Vector#elements_to_f is deprecated"
  map(&:to_f)
end
elements_to_i()

Source: show | on GitHub 

# File lib/matrix.rb, line 1825
def elements_to_i
  warn "#{caller(1)[0]}: warning: Vector#elements_to_i is deprecated"
  map(&:to_i)
end
elements_to_r()

Source: show | on GitHub 

# File lib/matrix.rb, line 1830
def elements_to_r
  warn "#{caller(1)[0]}: warning: Vector#elements_to_r is deprecated"
  map(&:to_r)
end
eql?(other)

Source: show | on GitHub 

# File lib/matrix.rb, line 1650
def eql?(other)
  return false unless Vector === other
  @elements.eql? other.elements
end
hash()

Return a hash-code for the vector.

Source: show | on GitHub 

# File lib/matrix.rb, line 1665
def hash
  @elements.hash
end
inner_product(v)

Returns the inner product of this vector with the other.

Vector[4,7].inner_product Vector[10,1]  => 47

Source: show | on GitHub 

# File lib/matrix.rb, line 1749
def inner_product(v)
  Vector.Raise ErrDimensionMismatch if size != v.size

  p = 0
  each2(v) {|v1, v2|
    p += v1 * v2.conj
  }
  p
end
inspect()

Overrides Object#inspect

Source: show | on GitHub 

# File lib/matrix.rb, line 1865
def inspect
  "Vector" + @elements.inspect
end
magnitude()

Returns the modulus (Pythagorean distance) of the vector.

Vector[5,8,2].r => 9.643650761
Also aliased as: r, norm

Source: show | on GitHub 

# File lib/matrix.rb, line 1773
def magnitude
  Math.sqrt(@elements.inject(0) {|v, e| v + e.abs2})
end
map()
Alias for: collect
map2(v)

Like #collect2, but returns a Vector instead of an Array.

Source: show | on GitHub 

# File lib/matrix.rb, line 1782
def map2(v, &block) # :yield: e1, e2
  return to_enum(:map2, v) unless block_given?
  els = collect2(v, &block)
  self.class.elements(els, false)
end
norm()
Alias for: magnitude
normalize()

Returns a new vector with the same direction but with norm 1.

v = Vector[5,8,2].normalize
# => Vector[0.5184758473652127, 0.8295613557843402, 0.20739033894608505]
v.norm => 1.0

Source: show | on GitHub 

# File lib/matrix.rb, line 1796
def normalize
  n = magnitude
  raise ZeroVectorError, "Zero vectors can not be normalized" if n == 0
  self / n
end
r()
Alias for: magnitude
size()

Returns the number of elements in the vector.

Source: show | on GitHub 

# File lib/matrix.rb, line 1595
def size
  @elements.size
end
to_a()

Returns the elements of the vector in an array.

Source: show | on GitHub 

# File lib/matrix.rb, line 1816
def to_a
  @elements.dup
end
to_s()

Overrides Object#to_s

Source: show | on GitHub 

# File lib/matrix.rb, line 1858
def to_s
  "Vector[" + @elements.join(", ") + "]"
end