File: complex.lsp

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;-*- Mode:     Lisp -*-
;;;; Author:   Paul Dietz
;;;; Created:  Sat Sep  6 19:56:29 2003
;;;; Contains: Tests of COMPLEX

(in-package :cl-test)

;;; Error tests

(deftest complex.error.1
  (signals-error (complex) program-error)
  t)

(deftest complex.error.2
  (signals-error (complex 1 1 nil) program-error)
  t)

;;; Non-error tests

(deftest complex.1
  (loop for x in *rationals*
	for c = (complex x)
	always (eql c x))
  t)

(deftest complex.2
  (loop for x in *floats*
	for c = (complex x)
	always (and (complexp c)
		    (eql x (realpart c))
		    (eql (float 0 x) (imagpart c))))
  t)

(deftest complex.3
  (loop for x in *rationals*
	for c = (complex 0 x)
	unless (or (zerop x)
		   (and (complexp c)
			(eql (realpart c) 0)
			(eql (imagpart c) x)))
	collect (list c x))
  nil)

(deftest complex.4
  (loop for x in *floats*
	for c = (complex 0 x)
	always (and (complexp c)
		    (eql (float 0 x) (realpart c))
		    (eql x (imagpart c))))
  t)

;;; Tests of some properties of complex numbers

(deftest complex.5
  (loop for c in *complexes*
	unless (loop for type in '(short-float single-float double-float long-float)
		     always (if (typep (realpart c) type)
				(typep (imagpart c) type)
			      (not (typep (imagpart c) type))))
	collect c)
  nil)