Class: Complex
Constant Summary
- I =
new(0, 1)
Instance Attribute Summary collapse
-
#imag ⇒ Object
(also: #imaginary)
readonly
Returns the value of attribute imag.
-
#real ⇒ Object
readonly
Returns the value of attribute real.
Class Method Summary
collapse
Instance Method Summary
collapse
Methods inherited from Numeric
#%, #+@, #<=>, #__coerced__, #ceil, #clone, #div, #divmod, #dup, #floor, #i, #integer?, #negative?, #nonzero?, #positive?, #round, #to_c, #to_int, #truncate, #zero?
Methods included from Comparable
#<, #<=, #>, #>=, #between?, #clamp
Constructor Details
#initialize(real, imag = 0) ⇒ Complex
Returns a new instance of Complex
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# File 'opal/opal/corelib/complex.rb', line 26
def initialize(real, imag = 0)
@real = real
@imag = imag
end
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Instance Attribute Details
#imag ⇒ Object
Also known as:
imaginary
Returns the value of attribute imag
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# File 'opal/opal/corelib/complex.rb', line 24
def imag
@imag
end
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Returns the value of attribute real
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# File 'opal/opal/corelib/complex.rb', line 24
def real
@real
end
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Class Method Details
.polar(r, theta = 0) ⇒ Object
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# File 'opal/opal/corelib/complex.rb', line 16
def self.polar(r, theta = 0)
unless Numeric === r && r.real? && Numeric === theta && theta.real?
raise TypeError, 'not a real'
end
new(r * Math.cos(theta), r * Math.sin(theta))
end
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.rect(real, imag = 0) ⇒ Object
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# File 'opal/opal/corelib/complex.rb', line 4
def self.rect(real, imag = 0)
unless Numeric === real && real.real? && Numeric === imag && imag.real?
raise TypeError, 'not a real'
end
new(real, imag)
end
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.rectangular ⇒ Object
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# File 'opal/opal/corelib/complex.rb', line 13
def self.rect(real, imag = 0)
unless Numeric === real && real.real? && Numeric === imag && imag.real?
raise TypeError, 'not a real'
end
new(real, imag)
end
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Instance Method Details
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# File 'opal/opal/corelib/complex.rb', line 75
def *(other)
if Complex === other
Complex(@real * other.real - @imag * other.imag,
@real * other.imag + @imag * other.real,
)
elsif Numeric === other && other.real?
Complex(@real * other, @imag * other)
else
__coerced__ :*, other
end
end
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#**(other) ⇒ Object
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# File 'opal/opal/corelib/complex.rb', line 102
def **(other)
if other == 0
return Complex.new(1, 0)
end
if Complex === other
r, theta = polar
ore = other.real
oim = other.imag
nr = Math.exp(ore * Math.log(r) - oim * theta)
ntheta = theta * ore + oim * Math.log(r)
Complex.polar(nr, ntheta)
elsif Integer === other
if other > 0
x = self
z = x
n = other - 1
while n != 0
div, mod = n.divmod(2)
while mod == 0
x = Complex(x.real * x.real - x.imag * x.imag, 2 * x.real * x.imag)
n = div
div, mod = n.divmod(2)
end
z *= x
n -= 1
end
z
else
(Rational.new(1, 1) / self)**-other
end
elsif Float === other || Rational === other
r, theta = polar
Complex.polar(r**other, theta * other)
else
__coerced__ :**, other
end
end
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# File 'opal/opal/corelib/complex.rb', line 55
def +(other)
if Complex === other
Complex(@real + other.real, @imag + other.imag)
elsif Numeric === other && other.real?
Complex(@real + other, @imag)
else
__coerced__ :+, other
end
end
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# File 'opal/opal/corelib/complex.rb', line 65
def -(other)
if Complex === other
Complex(@real - other.real, @imag - other.imag)
elsif Numeric === other && other.real?
Complex(@real - other, @imag)
else
__coerced__ :-, other
end
end
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# File 'opal/opal/corelib/complex.rb', line 51
def -@
Complex(-@real, -@imag)
end
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#/(other) ⇒ Object
Also known as:
divide, quo
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# File 'opal/opal/corelib/complex.rb', line 87
def /(other)
if Complex === other
if (Number === @real && @real.nan?) || (Number === @imag && @imag.nan?) ||
(Number === other.real && other.real.nan?) || (Number === other.imag && other.imag.nan?)
Complex.new(Float::NAN, Float::NAN)
else
self * other.conj / other.abs2
end
elsif Numeric === other && other.real?
Complex(@real.quo(other), @imag.quo(other))
else
__coerced__ :/, other
end
end
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#==(other) ⇒ Object
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# File 'opal/opal/corelib/complex.rb', line 41
def ==(other)
if Complex === other
@real == other.real && @imag == other.imag
elsif Numeric === other && other.real?
@real == other && @imag == 0
else
other == self
end
end
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#abs ⇒ Object
Also known as:
magnitude
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# File 'opal/opal/corelib/complex.rb', line 146
def abs
Math.hypot(@real, @imag)
end
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# File 'opal/opal/corelib/complex.rb', line 150
def abs2
@real * @real + @imag * @imag
end
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#angle ⇒ Object
Also known as:
arg
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# File 'opal/opal/corelib/complex.rb', line 154
def angle
Math.atan2(@imag, @real)
end
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#coerce(other) ⇒ Object
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# File 'opal/opal/corelib/complex.rb', line 31
def coerce(other)
if Complex === other
[other, self]
elsif Numeric === other && other.real?
[Complex.new(other, 0), self]
else
raise TypeError, "#{other.class} can't be coerced into Complex"
end
end
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#conj ⇒ Object
Also known as:
conjugate
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# File 'opal/opal/corelib/complex.rb', line 160
def conj
Complex(@real, -@imag)
end
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#denominator ⇒ Object
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# File 'opal/opal/corelib/complex.rb', line 166
def denominator
@real.denominator.lcm(@imag.denominator)
end
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#eql?(other) ⇒ Boolean
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# File 'opal/opal/corelib/complex.rb', line 172
def eql?(other)
Complex === other && @real.class == @imag.class && self == other
end
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#fdiv(other) ⇒ Object
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# File 'opal/opal/corelib/complex.rb', line 176
def fdiv(other)
unless Numeric === other
raise TypeError, "#{other.class} can't be coerced into Complex"
end
self / other
end
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# File 'opal/opal/corelib/complex.rb', line 184
def finite?
@real.finite? && @imag.finite?
end
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# File 'opal/opal/corelib/complex.rb', line 188
def hash
"Complex:#{@real}:#{@imag}"
end
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# File 'opal/opal/corelib/complex.rb', line 194
def infinite?
@real.infinite? || @imag.infinite?
end
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# File 'opal/opal/corelib/complex.rb', line 198
def inspect
"(#{self})"
end
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#numerator ⇒ Object
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# File 'opal/opal/corelib/complex.rb', line 206
def numerator
d = denominator
Complex(@real.numerator * (d / @real.denominator),
@imag.numerator * (d / @imag.denominator),
)
end
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# File 'opal/opal/corelib/complex.rb', line 216
def polar
[abs, arg]
end
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#rationalize(eps = undefined) ⇒ Object
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# File 'opal/opal/corelib/complex.rb', line 224
def rationalize(eps = undefined)
%x{
if (arguments.length > 1) {
#{raise ArgumentError, "wrong number of arguments (#{`arguments.length`} for 0..1)"};
}
}
if @imag != 0
raise RangeError, "can't' convert #{self} into Rational"
end
real.rationalize(eps)
end
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# File 'opal/opal/corelib/complex.rb', line 238
def real?
false
end
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#rect ⇒ Object
Also known as:
rectangular
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# File 'opal/opal/corelib/complex.rb', line 242
def rect
[@real, @imag]
end
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# File 'opal/opal/corelib/complex.rb', line 248
def to_f
unless @imag == 0
raise RangeError, "can't convert #{self} into Float"
end
@real.to_f
end
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# File 'opal/opal/corelib/complex.rb', line 256
def to_i
unless @imag == 0
raise RangeError, "can't convert #{self} into Integer"
end
@real.to_i
end
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# File 'opal/opal/corelib/complex.rb', line 264
def to_r
unless @imag == 0
raise RangeError, "can't convert #{self} into Rational"
end
@real.to_r
end
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# File 'opal/opal/corelib/complex.rb', line 272
def to_s
result = @real.inspect
result +=
if (Number === @imag && @imag.nan?) || @imag.positive? || @imag.zero?
'+'
else
'-'
end
result += @imag.abs.inspect
if Number === @imag && (@imag.nan? || @imag.infinite?)
result += '*'
end
result + 'i'
end
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