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;; Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
;; All rights reserved.
;;
;; Redistribution and use in source and binary forms, with or without
;; modification, are permitted provided that the following conditions are
;; met:
;;
;; - Redistributions of source code must retain the above copyright
;; notice, this list of conditions and the following disclaimer.
;;
;; - Redistributions in binary form must reproduce the above copyright
;; notice, this list of conditions and the following disclaimer in
;; the documentation and/or other materials provided with the
;; distribution.
;;
;; - Neither the name of The Numerical ALgorithms Group Ltd. nor the
;; names of its contributors may be used to endorse or promote products
;; derived from this software without specific prior written permission.
;;
;; THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
;; IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
;; TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
;; PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
;; OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
;; EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
;; PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
;; PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
;; LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
;;
;; Copyright (C) 2007 Gabriel Dos Reis
(defpackage "BOOT"
#+:common-lisp (:use "COMMON-LISP")
#-:common-lisp (:use "LISP")
(:use "AxiomCore"))
(in-package "BOOT")
;; Below are some missing functions. There here for lack of better
;; place (sys-funs.lisp?)
;;
;; These functions should be defined for DoubleFloat inputs but are not.
;; These are cheap and easy definitions that work but should be rewritten.
;; Contributed by Juergen Weiss from a suggestion by Arthur Norman.
(defun sec (x) (/ 1 (cos x)))
(defun csc (x) (/ 1 (sin x)))
(defun acsc (x) (asin (/ 1 x)))
(defun asec (x) (acos (/ 1 x)))
(defun csch (x) (/ 1 (sinh x)))
(defun coth (x) (* (cosh x) (csch x)))
(defun sech (x) (/ 1 (cosh x)))
(defun acsch (x) (asinh (/ 1 x)))
(defun acoth (x) (atanh (/ 1 x)))
(defun asech (x) (acosh (/ 1 x)))
#+(or :cmu :akcl :gcl)
(defun cot (a)
(if (or (> a 1000.0) (< a -1000.0))
(/ (cos a) (sin a))
(/ 1.0 (tan a))))
#+(or :cmu :akcl :gcl)
(defun acot (a)
(if (> a 0.0)
(if (> a 1.0)
(atan (/ 1.0 a))
(- (/ pi 2.0) (atan a)))
(if (< a -1.0)
(- pi (atan (/ -1.0 a)))
(+ (/ pi 2.0) (atan (- a))))))
; This is a Mantissa and Exponent function.
#+(or :cmu :akcl :gcl)
(defun manexp (u)
(multiple-value-bind (f e s)
(decode-float u)
(cons (* s f) e)))
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