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;; Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
;; All rights reserved.
;; Copyright (C) 2007-2010, Gabriel Dos Reis.
;; 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.
(import-module "sys-macros")
(in-package "BOOT")
;;
;; Lisp part of the Scratchpad special function interface.
;; SMW Feb 91
;;
;; Conversion between spad and lisp complex representations
(defun s-to-c (c) (complex (car c) (cdr c)))
(defun c-to-s (c) (cons (realpart c) (imagpart c)))
(defun c-to-r (c)
(let ((r (realpart c)) (i (imagpart c)))
(if (or (zerop i) (< (abs i) (* 1.0E-10 (abs r))))
r
(|error| "Result is not real.")) ))
;; Wrappers for functions in the special function package
(defun rlngamma (x) (|lnrgamma| x) )
(defun clngamma (z) (c-to-s (|lncgamma| (s-to-c z)) ))
(defun rgamma (x) (|rgamma| x))
(defun cgamma (z) (c-to-s (|cgamma| (s-to-c z)) ))
(defun rpsi (n x) (|rPsi| n x) )
(defun cpsi (n z) (c-to-s (|cPsi| n (s-to-c z)) ))
(defun rbesselj (n x) (c-to-r (|BesselJ| n x)) )
(defun cbesselj (v z) (c-to-s (|BesselJ| (s-to-c v) (s-to-c z)) ))
(defun rbesseli (n x) (c-to-r (|BesselI| n x)) )
(defun cbesseli (v z) (c-to-s (|BesselI| (s-to-c v) (s-to-c z)) ))
(defun chyper0f1 (a z) (c-to-s (|chebf01| (s-to-c a) (s-to-c z)) ))
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