diff options
Diffstat (limited to 'mrbgems/mruby-complex/mrblib/complex.rb')
| -rw-r--r-- | mrbgems/mruby-complex/mrblib/complex.rb | 123 |
1 files changed, 123 insertions, 0 deletions
diff --git a/mrbgems/mruby-complex/mrblib/complex.rb b/mrbgems/mruby-complex/mrblib/complex.rb new file mode 100644 index 000000000..0299e7675 --- /dev/null +++ b/mrbgems/mruby-complex/mrblib/complex.rb @@ -0,0 +1,123 @@ +class Complex < Numeric + def self.polar(abs, arg = 0) + Complex(abs * Math.cos(arg), abs * Math.sin(arg)) + end + + def inspect + "(#{to_s})" + end + + def to_s + "#{real}#{'+' unless imaginary.negative?}#{imaginary}i" + end + + def +@ + Complex(real, imaginary) + end + + def -@ + Complex(-real, -imaginary) + end + + def +(rhs) + if rhs.is_a? Complex + Complex(real + rhs.real, imaginary + rhs.imaginary) + elsif rhs.is_a? Numeric + Complex(real + rhs, imaginary) + end + end + + def -(rhs) + if rhs.is_a? Complex + Complex(real - rhs.real, imaginary - rhs.imaginary) + elsif rhs.is_a? Numeric + Complex(real - rhs, imaginary) + end + end + + def *(rhs) + if rhs.is_a? Complex + Complex(real * rhs.real - imaginary * rhs.imaginary, real * rhs.imaginary + rhs.real * imaginary) + elsif rhs.is_a? Numeric + Complex(real * rhs, imaginary * rhs) + end + end + + def /(rhs) + if rhs.is_a? Complex + div = rhs.real * rhs.real + rhs.imaginary * rhs.imaginary + Complex((real * rhs.real + imaginary * rhs.imaginary) / div, (rhs.real * imaginary - real * rhs.imaginary) / div) + elsif rhs.is_a? Numeric + Complex(real / rhs, imaginary / rhs) + end + end + alias_method :quo, :/ + + def ==(rhs) + if rhs.is_a? Complex + real == rhs.real && imaginary == rhs.imaginary + elsif rhs.is_a? Numeric + imaginary.zero? && real == rhs + end + end + + def abs + Math.sqrt(abs2) + end + alias_method :magnitude, :abs + + def abs2 + real * real + imaginary * imaginary + end + + def arg + Math.atan2 imaginary, real + end + alias_method :angle, :arg + alias_method :phase, :arg + + def conjugate + Complex(real, -imaginary) + end + alias_method :conj, :conjugate + + def fdiv(numeric) + Complex(real.to_f / numeric, imaginary.to_f / numeric) + end + + def polar + [abs, arg] + end + + def real? + false + end + + def rectangular + [real, imaginary] + end + alias_method :rect, :rectangular + + def to_r + raise RangeError.new "can't convert #{to_s} into Rational" unless imaginary.zero? + Rational(real, 1) + end + + alias_method :imag, :imaginary +end + +[Fixnum, Float].each do |cls| + [:+, :-, :*, :/, :==].each do |op| + cls.instance_exec do + original_operator_name = "__original_operator_#{op}_complex" + alias_method original_operator_name, op + define_method op do |rhs| + if rhs.is_a? Complex + Complex(self).send(op, rhs) + else + send(original_operator_name, rhs) + end + end + end + end +end |
