класс Vector

# File lib/matrix.rb, line 1890
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

# File lib/matrix.rb, line 1907
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

# File lib/matrix.rb, line 1955
def +@
  self
end

# File lib/matrix.rb, line 1925
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

# File lib/matrix.rb, line 1959
def -@
  collect {|e| -e }
end

# File lib/matrix.rb, line 1943
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

# File lib/matrix.rb, line 1859
def ==(other)
  return false unless Vector === other
  @elements == other.elements
end

# File lib/matrix.rb, line 1744
def [](i)
  @elements[i]
end

# File lib/matrix.rb, line 2064
def angle_with(v)
  raise TypeError, "Expected a Vector, got a #{v.class}" unless v.is_a?(Vector)
  Vector.Raise ErrDimensionMismatch if size != v.size
  prod = magnitude * v.magnitude
  raise ZeroVectorError, "Can't get angle of zero vector" if prod == 0

  Math.acos( inner_product(v) / prod )
end

# File lib/matrix.rb, line 1872
def clone
  self.class.elements(@elements)
end

# File lib/matrix.rb, line 2120
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

# File lib/matrix.rb, line 2019
def collect(&block) # :yield: e
  return to_enum(:collect) unless block_given?
  els = @elements.collect(&block)
  self.class.elements(els, false)
end

# File lib/matrix.rb, line 1801
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

# File lib/matrix.rb, line 2080
def covector
  Matrix.row_vector(self)
end

# File lib/matrix.rb, line 1994
def cross_product(*vs)
  raise ErrOperationNotDefined, "cross product is not defined on vectors of dimension #{size}" unless size >= 2
  raise ArgumentError, "wrong number of arguments (#{vs.size} for #{size - 2})" unless vs.size == size - 2
  vs.each do |v|
    raise TypeError, "expected Vector, got #{v.class}" unless v.is_a? Vector
    Vector.Raise ErrDimensionMismatch unless v.size == size
  end
  case size
  when 2
    Vector[-@elements[1], @elements[0]]
  when 3
    v = vs[0]
    Vector[ v[2]*@elements[1] - v[1]*@elements[2],
      v[0]*@elements[2] - v[2]*@elements[0],
      v[1]*@elements[0] - v[0]*@elements[1] ]
  else
    rows = self, *vs, Array.new(size) {|i| Vector.basis(size: size, index: i) }
    Matrix.rows(rows).laplace_expansion(row: size - 1)
  end
end

# File lib/matrix.rb, line 1778
def each(&block)
  return to_enum(:each) unless block_given?
  @elements.each(&block)
  self
end

# File lib/matrix.rb, line 1787
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

# File lib/matrix.rb, line 2098
def elements_to_f
  warn "Vector#elements_to_f is deprecated", uplevel: 1
  map(&:to_f)
end

# File lib/matrix.rb, line 2103
def elements_to_i
  warn "Vector#elements_to_i is deprecated", uplevel: 1
  map(&:to_i)
end

# File lib/matrix.rb, line 2108
def elements_to_r
  warn "Vector#elements_to_r is deprecated", uplevel: 1
  map(&:to_r)
end

# File lib/matrix.rb, line 1864
def eql?(other)
  return false unless Vector === other
  @elements.eql? other.elements
end

# File lib/matrix.rb, line 1879
def hash
  @elements.hash
end

# File lib/matrix.rb, line 1841
def independent?(*vs)
  self.class.independent?(self, *vs)
end

# File lib/matrix.rb, line 1971
def inner_product(v)
  Vector.Raise ErrDimensionMismatch if size != v.size

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

# File lib/matrix.rb, line 2143
def inspect
  "Vector" + @elements.inspect
end

# File lib/matrix.rb, line 2030
def magnitude
  Math.sqrt(@elements.inject(0) {|v, e| v + e.abs2})
end

# File lib/matrix.rb, line 2039
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

# File lib/matrix.rb, line 2053
def normalize
  n = magnitude
  raise ZeroVectorError, "Zero vectors can not be normalized" if n == 0
  self / n
end

# File lib/matrix.rb, line 1760
def round(ndigits=0)
  map{|e| e.round(ndigits)}
end

# File lib/matrix.rb, line 1767
def size
  @elements.size
end

# File lib/matrix.rb, line 2087
def to_a
  @elements.dup
end

# File lib/matrix.rb, line 2094
def to_matrix
  Matrix.column_vector(self)
end

# File lib/matrix.rb, line 2136
def to_s
  "Vector[" + @elements.join(", ") + "]"
end

# File lib/matrix.rb, line 1848
def zero?
  all?(&:zero?)
end