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-rw-r--r--mrbgems/mruby-complex/mrblib/complex.rb123
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
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+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