12.2.46 complex [Function]

complex realpart &optional imagpart ⇒ complex

Arguments and Values::

realpart—a real.

imagpart—a real.

complex—a rational or a complex.

Description::

complex returns a number whose real part is realpart and whose imaginary part is imagpart.

If realpart is a rational and imagpart is the rational number zero, the result of complex is realpart, a rational. Otherwise, the result is a complex.

If either realpart or imagpart is a float, the non-float is converted to a float before the complex is created. If imagpart is not supplied, the imaginary part is a zero of the same type as realpart; i.e., (coerce 0 (type-of realpart)) is effectively used.

Type upgrading implies a movement upwards in the type hierarchy lattice. In the case of complexes, the type-specifier

[Reviewer Note by Barmar: What type specifier?] must be a subtype of (upgraded-complex-part-type type-specifier). If type-specifier1 is a subtype of type-specifier2, then (upgraded-complex-element-type 'type-specifier1) must also be a subtype of (upgraded-complex-element-type 'type-specifier2). Two disjoint types can be upgraded into the same thing.

Examples::

 (complex 0) ⇒  0
 (complex 0.0) ⇒  #C(0.0 0.0)
 (complex 1 1/2) ⇒  #C(1 1/2)
 (complex 1 .99) ⇒  #C(1.0 0.99)
 (complex 3/2 0.0) ⇒  #C(1.5 0.0)

See Also::

realpart , imagpart

Notes::

 #c(a b) ≡ #.(complex a b)