src/numerical/slatec/zsqrt.lisp

   1 ;;; Compiled by f2cl version:
   2 ;;; ("f2cl1.l,v 46c1f6a93b0d 2012/05/03 04:40:28 toy $"
   3 ;;;  "f2cl2.l,v 96616d88fb7e 2008/02/22 22:19:34 rtoy $"
   4 ;;;  "f2cl3.l,v 96616d88fb7e 2008/02/22 22:19:34 rtoy $"
   5 ;;;  "f2cl4.l,v 96616d88fb7e 2008/02/22 22:19:34 rtoy $"
   6 ;;;  "f2cl5.l,v 46c1f6a93b0d 2012/05/03 04:40:28 toy $"
   7 ;;;  "f2cl6.l,v 1d5cbacbb977 2008/08/24 00:56:27 rtoy $"
   8 ;;;  "macros.l,v fceac530ef0c 2011/11/26 04:02:26 toy $")
   9
  10 ;;; Using Lisp CMU Common Lisp snapshot-2012-04 (20C Unicode)
  11 ;;;
  12 ;;; Options: ((:prune-labels nil) (:auto-save t) (:relaxed-array-decls t)
  13 ;;;           (:coerce-assigns :as-needed) (:array-type ':simple-array)
  14 ;;;           (:array-slicing nil) (:declare-common nil)
  15 ;;;           (:float-format double-float))
  16
  17 (in-package :slatec)
  18
  19
  20 (let ((drt 0.7071067811865476) (dpi 3.141592653589793))
  21   (declare (type (double-float) drt dpi))
  22   (defun zsqrt$ (ar ai br bi)
  23     (declare (type (double-float) bi br ai ar))
  24     (prog ((zm 0.0) (dtheta 0.0))
  25       (declare (type (double-float) dtheta zm))
  26       (setf zm (coerce (realpart (zabs ar ai)) 'double-float))
  27       (setf zm (f2cl-lib:fsqrt zm))
  28       (if (= ar 0.0) (go label10))
  29       (if (= ai 0.0) (go label20))
  30       (setf dtheta (f2cl-lib:datan (/ ai ar)))
  31       (if (<= dtheta 0.0) (go label40))
  32       (if (< ar 0.0) (setf dtheta (- dtheta dpi)))
  33       (go label50)
  34      label10
  35       (if (> ai 0.0) (go label60))
  36       (if (< ai 0.0) (go label70))
  37       (setf br 0.0)
  38       (setf bi 0.0)
  39       (go end_label)
  40      label20
  41       (if (> ar 0.0) (go label30))
  42       (setf br 0.0)
  43       (setf bi (f2cl-lib:fsqrt (abs ar)))
  44       (go end_label)
  45      label30
  46       (setf br (f2cl-lib:fsqrt ar))
  47       (setf bi 0.0)
  48       (go end_label)
  49      label40
  50       (if (< ar 0.0) (setf dtheta (+ dtheta dpi)))
  51      label50
  52       (setf dtheta (* dtheta 0.5))
  53       (setf br (* zm (cos dtheta)))
  54       (setf bi (* zm (sin dtheta)))
  55       (go end_label)
  56      label60
  57       (setf br (* zm drt))
  58       (setf bi (* zm drt))
  59       (go end_label)
  60      label70
  61       (setf br (* zm drt))
  62       (setf bi (* (- zm) drt))
  63       (go end_label)
  64      end_label
  65       (return (values nil nil br bi)))))
  66
  67 (in-package #:cl-user)
  68 #+#.(cl:if (cl:find-package '#:f2cl) '(and) '(or))
  69 (eval-when (:load-toplevel :compile-toplevel :execute)
  70   (setf (gethash 'fortran-to-lisp::zsqrt$
  71                  fortran-to-lisp::*f2cl-function-info*)
  72           (fortran-to-lisp::make-f2cl-finfo
  73            :arg-types '((double-float) (double-float) (double-float)
  74                         (double-float))
  75            :return-values '(nil nil fortran-to-lisp::br fortran-to-lisp::bi)
  76            :calls '(fortran-to-lisp::zabs))))
  77