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; Lispfloat - Interface to the Common Lisp Floating Point Operations
; Copyright (C) 2016 Centaur Technology
;
; Contact:
; Centaur Technology Formal Verification Group
; 7600-C N. Capital of Texas Highway, Suite 300, Austin, TX 78731, USA.
; http://www.centtech.com/
;
; License: (An MIT/X11-style license)
;
; Permission is hereby granted, free of charge, to any person obtaining a
; copy of this software and associated documentation files (the "Software"),
; to deal in the Software without restriction, including without limitation
; the rights to use, copy, modify, merge, publish, distribute, sublicense,
; and/or sell copies of the Software, and to permit persons to whom the
; Software is furnished to do so, subject to the following conditions:
;
; The above copyright notice and this permission notice shall be included in
; all copies or substantial portions of the Software.
;
; THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
; IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
; FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
; AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
; LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
; FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
; DEALINGS IN THE SOFTWARE.
;
; Original author: Jared Davis <jared@centtech.com>
(in-package "LISPFLOAT")
(include-book "std/basic/defs" :dir :system)
(include-book "std/strings/cat" :dir :system)
(include-book "std/util/defmvtypes" :dir :system)
(include-book "centaur/fty/basetypes" :dir :system)
(include-book "centaur/fty/fixequiv" :dir :system)
(defmacro def-float-op (name args short)
`(progn
(local (defun ,name ,args
;; Keeping this out of the defsection seems to help to avoid
;; sucking the whole encapsulate into the docs for each function.
(declare (ignorable . ,args))
(mv nil 0)))
(defsection-progn ,name
:parents (lispfloat)
:short ,short
:long ,(str::cat
"<p>@(call " (xdoc::full-escape-symbol name) ") is a @(see
lispfloat) wrapper function.</p>
<p>In the logic this function does not have a definition, but
its @(see acl2::constraint)s say it returns @('(mv errmsg ans)'),
where:</p>
<ul>
<li>@('errmsg') is either a string that indicates an error
has occurred (e.g., a rounding error when converting rationals
to floats, an overflow, etc.)</li>
<li>@('ans') is a rational.</li>
</ul>")
"<h5>Basic Type Theorems</h5>"
(defmvtypes ,name (maybe-stringp rationalp))
"<h5>Rational-Equiv Congruence Rules</h5>"
(deffixequiv ,name
:args ,(pairlis$ args (acl2::replicate (len args) '(rationalp)))))))
(encapsulate
(((er-float+ * *) => (mv * *) :formals (a b) :guard (and (rationalp a) (rationalp b)))
((er-float- * *) => (mv * *) :formals (a b) :guard (and (rationalp a) (rationalp b)))
((er-float* * *) => (mv * *) :formals (a b) :guard (and (rationalp a) (rationalp b)))
((er-float/ * *) => (mv * *) :formals (a b) :guard (and (rationalp a) (rationalp b)))
((er-float-expt * *) => (mv * *) :formals (a b) :guard (and (rationalp a) (rationalp b)))
((er-float-sqrt *) => (mv * *) :formals (a) :guard (rationalp a))
((er-float-e^x *) => (mv * *) :formals (a) :guard (rationalp a))
((er-float-sin *) => (mv * *) :formals (a) :guard (rationalp a))
((er-float-cos *) => (mv * *) :formals (a) :guard (rationalp a))
((er-float-tan *) => (mv * *) :formals (a) :guard (rationalp a))
;; Not yet implemented:
;; log -- may return complex when given negatives
;; asin -- may return complex
;; acos -- may return complex
;; atan -- may return complex
)
(def-float-op er-float+ (a b) "(Single-precision) floating point addition.")
(def-float-op er-float- (a b) "(Single-precision) floating point subtraction.")
(def-float-op er-float* (a b) "(Single-precision) floating point multiplication.")
(def-float-op er-float/ (a b) "(Single-precision) floating point division.")
(def-float-op er-float-expt (a b) "(Single-precision) floating point exponentiation.")
(def-float-op er-float-sqrt (a) "(Single-precision) floating point square root.")
(def-float-op er-float-e^x (a) "(Single-precision) floating point e^x.")
(def-float-op er-float-sin (a) "(Single-precision) floating point sine.")
(def-float-op er-float-cos (a) "(Single-precision) floating point cosine.")
(def-float-op er-float-tan (a) "(Single-precision) floating point tangent.")
)
(encapsulate
(((er-double+ * *) => (mv * *) :formals (a b) :guard (and (rationalp a) (rationalp b)))
((er-double- * *) => (mv * *) :formals (a b) :guard (and (rationalp a) (rationalp b)))
((er-double* * *) => (mv * *) :formals (a b) :guard (and (rationalp a) (rationalp b)))
((er-double/ * *) => (mv * *) :formals (a b) :guard (and (rationalp a) (rationalp b)))
((er-double-expt * *) => (mv * *) :formals (a b) :guard (and (rationalp a) (rationalp b)))
((er-double-sqrt *) => (mv * *) :formals (a) :guard (rationalp a))
((er-double-e^x *) => (mv * *) :formals (a) :guard (rationalp a))
((er-double-sin *) => (mv * *) :formals (a) :guard (rationalp a))
((er-double-cos *) => (mv * *) :formals (a) :guard (rationalp a))
((er-double-tan *) => (mv * *) :formals (a) :guard (rationalp a))
)
(def-float-op er-double+ (a b) "(Double-precision) floating point addition.")
(def-float-op er-double- (a b) "(Double-precision) floating point subtraction.")
(def-float-op er-double* (a b) "(Double-precision) floating point multiplication.")
(def-float-op er-double/ (a b) "(Double-precision) floating point division.")
(def-float-op er-double-expt (a b) "(Double-precision) floating point exponentiation.")
(def-float-op er-double-sqrt (a) "(Double-precision) floating point square root.")
(def-float-op er-double-e^x (a) "(Double-precision) floating point e^x.")
(def-float-op er-double-sin (a) "(Double-precision) floating point sine.")
(def-float-op er-double-cos (a) "(Double-precision) floating point cosine.")
(def-float-op er-double-tan (a) "(Double-precision) floating point tangent.")
)
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