root/qd-const2.lisp @ 405df618a38d3b8ddaae691f865bbf068e931ac5

;;;; -*- Mode: lisp -*-
;;;;
;;;; Copyright (c) 2007, 2008, 2011 Raymond Toy
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(in-package #:oct)

(defconstant +pi+
  (make-instance 'qd-real :value octi:+qd-pi+)
  "Pi represented as a QD-REAL")

(defconstant +pi/2+
  (make-instance 'qd-real :value octi:+qd-pi/2+)
  "Pi/2 represented as a QD-REAL")

(defconstant +pi/4+
  (make-instance 'qd-real :value octi:+qd-pi/4+)
  "Pi/4 represented as a QD-REAL")

(defconstant +2pi+
  (make-instance 'qd-real :value octi:+qd-2pi+)
  "2*pi represented as a QD-REAL")

(defconstant +log2+
  (make-instance 'qd-real :value octi:+qd-log2+)
  "Natural log of 2 represented as a QD-REAL")

;; How do we represent infinity for a QD-REAL?  For now, we just make
;; the QD-REAL whose most significant part is infinity.  Currently
;; only supported on CMUCL.
#+cmu
(defconstant +quad-double-float-positive-infinity+
  (make-instance 'qd-real :value (make-qd-d ext:double-float-positive-infinity))
  "One representation of positive infinity for QD-REAL")

#+cmu
(defconstant +quad-double-float-negative-infinity+
  (make-instance 'qd-real :value (make-qd-d ext:double-float-negative-infinity))
  "One representation of negative infinity for QD-REAL")

(defconstant +most-positive-quad-double-float+
  (make-instance 'qd-real
                 :value (octi::%make-qd-d most-positive-double-float
                                         (cl:scale-float most-positive-double-float (cl:* 1 -53))
                                         (cl:scale-float most-positive-double-float (cl:* 2 -53))
                                         (cl:scale-float most-positive-double-float (cl:* 3 -53))))
  "Most positive representable QD-REAL")

(defconstant +least-positive-quad-double-float+
  (make-instance 'qd-real
                 :value (make-qd-d least-positive-double-float))
  "Least positive QD-REAL")

;; Not sure this is 100% correct, but I think if the first component
;; is any smaller than this, the last component would no longer be a
;; normalized double-float.
(defconstant +least-positive-normalized-quad-double-float+
  (make-instance 'qd-real
                 :value (make-qd-d (cl:scale-float least-positive-normalized-double-float (cl:* 3 53))))
  "Least positive normalized QD-REAL")

(defconstant +qd-real-one+
  (make-instance 'qd-real :value (make-qd-d 1d0))
  "QD-REAL representation of 1")

(defconstant +%gamma+
  (make-instance 'qd-real :value octi::+qd-%gamma+)
  "Euler's constant")