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;; Copyright (C) 2007-2010, Gabriel Dos Reis.
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(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)) ))