W3cubDocs

/Crystal 0.31

struct Complex

Overview

A complex number is a number represented in the form a + bi. In this form, a and b are real numbers, and i is an imaginary number such as i² = -1. The a is the real part of the number, and the b is the imaginary part of the number.

require "complex"

Complex.new(1, 0)   # => 1.0 + 0.0i
Complex.new(5, -12) # => 5.0 - 12.0i

1.to_c # => 1.0 + 0.0i
1.i    # => 0.0 + 1.0i

Defined in:

complex.cr

Constructors

Instance Method Summary

Constructor Detail

def self.new(real : Number, imag : Number = 0)Source

def self.new(c : Complex)Source

def self.zero : ComplexSource

Returns the number 0 in complex form.

Instance Method Detail

def *(other : Number)Source

Multiplies self by other.

def *(other : Complex)Source

Multiplies self by other.

def +(other : Complex)Source

Adds the value of self to other.

def +(other : Number)Source

Adds the value of self to other.

def +Source

Returns absolute value of self.

def -(other : Complex)Source

Removes the value of other from self.

def -Source

Returns the opposite of self.

def -(other : Number)Source

Removes the value of other from self.

def /(other : Number)Source

Divides self by other.

def /(other : Complex)Source

Divides self by other.

def ==(other : Complex)Source

Determines whether self equals other or not.

def ==(other : Number)Source

Determines whether self equals other or not.

def ==(other)Source

Determines whether self equals other or not.

def absSource

Returns the absolute value of this complex number in a number form, using the Pythagorean theorem.

require "complex"

Complex.new(42, 2).abs  # => 42.04759208325728
Complex.new(-42, 2).abs # => 42.04759208325728

def abs2Source

Returns the square of absolute value in a number form.

require "complex"

Complex.new(42, 2).abs2 # => 1768

def cloneSource

def conjSource

Returns the conjugate of self.

require "complex"

Complex.new(42, 2).conj  # => 42.0 - 2.0i
Complex.new(42, -2).conj # => 42.0 + 2.0i

def expSource

Calculates the exp of self.

require "complex"

Complex.new(4, 2).exp # => -22.720847417619233 + 49.645957334580565i

def hash(hasher)Source

def imag : Float64Source

Returns the imaginary part.

def inspect(io : IO) : NilSource

Writes this complex object to an io, surrounded by parentheses.

require "complex"

Complex.new(42, 2).inspect # => "(42.0 + 2.0i)"

def invSource

Returns the inverse of self.

def logSource

Calculates the log of self.

def log10Source

Calculates the log10 of self.

def log2Source

Calculates the log2 of self.

def phaseSource

Returns the phase of self.

def polarSource

Returns a Tuple with the #abs value and the #phase.

require "complex"

Complex.new(42, 2).polar # => {42.047592083257278, 0.047583103276983396}

def real : Float64Source

Returns the real part.

def signSource

def sqrtSource

Complex#sqrt was inspired by the following blog post of Pavel Panchekha on floating point precision.

def to_cSource

Returns self.

def to_fSource

See #to_f64.

def to_f32Source

Returns the value as a Float32 if possible (the imaginary part should be exactly zero), raises otherwise.

def to_f64Source

Returns the value as a Float64 if possible (the imaginary part should be exactly zero), raises otherwise.

def to_iSource

See #to_i32.

def to_i16(*args, **options)Source

def to_i16(*args, **options, &block)Source

def to_i32(*args, **options)Source

def to_i32(*args, **options, &block)Source

def to_i64Source

Returns the value as an Int64 if possible (the imaginary part should be exactly zero), raises otherwise.

def to_i8(*args, **options)Source

def to_i8(*args, **options, &block)Source

def to_s(io : IO) : NilSource

Writes this complex object to an io.

require "complex"

Complex.new(42, 2).to_s # => "42.0 + 2.0i"

def to_u16(*args, **options)Source

def to_u16(*args, **options, &block)Source

def to_u32(*args, **options)Source

def to_u32(*args, **options, &block)Source

def to_u64Source

Returns the value as an UInt64 if possible (the imaginary part should be exactly zero), raises otherwise.

def to_u8(*args, **options)Source

def to_u8(*args, **options, &block)Source

def zero? : BoolSource

© 2012–2019 Manas Technology Solutions.
Licensed under the Apache License, Version 2.0.
https://crystal-lang.org/api/0.31.1/Complex.html