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;; Copyright (C) 2017, Regents of the University of Texas
;; Written by Cuong Chau (derived from the FM9001 work of Brock and Hunt)
;; License: A 3-clause BSD license. See the LICENSE file distributed with
;; ACL2.
;; The ACL2 source code for the FM9001 work is available at
;; https://github.com/acl2/acl2/tree/master/books/projects/fm9001.
;; Cuong Chau <ckcuong@cs.utexas.edu>
;; January 2019
;; VECTOR-MODULE name (occ-name outputs type inputs) specs &key enable
(in-package "ADE")
(include-book "macros")
;; ======================================================================
;; VECTOR-MODULE creates simple, linear, n-bit module generators.
;; Arguments:
;; * name -- The generator will be (<name>* n)
;; * (occ-name outputs type inputs) -- A schematic representation of the
;; occurrences. The body of the generator will contain occurrences of the
;; form:
;; (<occ-name>_n
;; (<output_0>_n ... <output_k>_n)
;; type
;; (<input_0>_n ... <input_k>_n))
;; * specs -- A list of specifications for the output vectors, written in
;; terms of the inputs.
;; * enable -- A list of events to be enabled.
;; Example: (vector-module v-pullup (g (y) pullup (a)) ((v-pullup a))
;; :enable (v-pullup))
;; More examples in "vector-module.lisp".
(defun mapAPPEND (x)
(declare (xargs :guard t))
(if (consp x)
(if (consp (cdr x))
`(APPEND ,(car x) ,(mapAPPEND (cdr x)))
(car x))
nil))
(defun mapAND (x)
(declare (xargs :guard t))
(if (consp x)
(if (consp (cdr x))
`(AND ,(car x) ,(mapAND (cdr x)))
(car x))
nil))
(defun map-si (x m)
(declare (xargs :guard t))
(if (atom x)
nil
(cons `(si ',(car x) ,m)
(map-si (cdr x) m))))
(defun map-sis (x m n)
(declare (xargs :guard t))
(if (atom x)
nil
(cons `(sis ',(car x) ,m ,n)
(map-sis (cdr x) m n))))
(defun map-unbound-in-body (x body l m n)
(declare (xargs :guard t))
(if (atom x)
nil
(cons `(unbound-in-body (si ',(car x) ,l)
(,body ,m ,n))
(map-unbound-in-body (cdr x) body l m n))))
(defun map-assoc-eq-values (x m n)
(declare (xargs :guard t))
(if (atom x)
nil
(cons `(assoc-eq-values (sis ',(car x) ,m ,n)
wire-alist)
(map-assoc-eq-values (cdr x) m n))))
(defun map-equal-assoc-eq-values (x y m n)
(declare (xargs :guard (true-list-listp y)))
(if (or (atom x) (atom y))
nil
(cons `(equal (assoc-eq-values (sis ',(car x) ,m ,n)
(se-occ body
wire-alist
st-alist
netlist))
,(let* ((spec (car y))
(fn (car spec))
(args (cdr spec)))
`(,fn ,@(map-assoc-eq-values args m n))))
(map-equal-assoc-eq-values (cdr x) (cdr y) m n))))
(defun map-value-lemma-hyp (x n)
(declare (xargs :guard t))
(if (atom x)
nil
(cons `(and (true-listp ,(car x))
(equal (len ,(car x)) ,n))
(map-value-lemma-hyp (cdr x) n))))
(defun map-value-lemma-concl (x)
(declare (xargs :guard (true-list-listp x)))
(if (atom x)
nil
(cons (let* ((fn (caar x))
(args (cdar x)))
`(,fn ,@args))
(map-value-lemma-concl (cdr x)))))
(defmacro vector-module (name occ specs &key enable)
(let* ((occ-name (car occ))
(outputs (cadr occ))
(type (caddr occ))
(inputs (cadddr occ))
(name-str (symbol-name name))
(body-defun (strings-to-symbol name-str "-BODY"))
(generator (strings-to-symbol name-str "*"))
(destructor (strings-to-symbol (symbol-name generator)
"$DESTRUCTURE"))
(module-name `(SI ',name N))
(predicate (strings-to-symbol name-str "&"))
(unbound-in-body-lemma (strings-to-symbol name-str
"$UNBOUND-IN-BODY"))
(body-value-lemma (strings-to-symbol name-str "-BODY$VALUE"))
(value-lemma (strings-to-symbol name-str "$VALUE"))
(netlist (strings-to-symbol name-str "$NETLIST")))
`(PROGN
(DEFUN ,body-defun (M N)
(DECLARE (XARGS :GUARD (AND (NATP M) (NATP N))))
(IF (ZP N)
NIL
(CONS
(LIST (SI ',occ-name M)
(LIST ,@(map-si outputs 'M))
',type
(LIST ,@(map-si inputs 'M)))
(,body-defun (1+ M) (1- N)))))
(MODULE-GENERATOR
,generator (N)
,module-name
,(mapAPPEND
(map-sis inputs 0 'N))
,(mapAPPEND
(map-sis outputs 0 'N))
NIL
(,body-defun 0 N)
(declare (xargs :guard (natp N))))
(DEFUND ,predicate (NETLIST N)
(DECLARE (XARGS :GUARD (AND (ALISTP NETLIST)
(NATP N))))
(EQUAL (ASSOC ,module-name NETLIST)
(,generator N)))
(DEFUND ,netlist (N)
(DECLARE (XARGS :GUARD (NATP N)))
(LIST (,generator N)))
(LOCAL
(DEFTHM ,unbound-in-body-lemma
(IMPLIES (and (NATP L)
(NATP M)
(< L M))
,(mapAND (map-unbound-in-body outputs body-defun 'L 'M 'N)))
:HINTS (("GOAL"
:IN-THEORY (ENABLE OCC-OUTS)))))
(LOCAL
(DEFTHM ,body-value-lemma
(IMPLIES (AND (NATP M)
(EQUAL BODY (,body-defun M N)))
,(mapAND
(map-equal-assoc-eq-values outputs specs 'M 'N)))
:hints (("Goal"
:INDUCT (VECTOR-MODULE-INDUCTION BODY
M N
WIRE-ALIST
ST-ALIST
NETLIST)
:in-theory (ENABLE de-rules sis ,@enable)))))
(DEFTHM ,value-lemma
(IMPLIES (AND (,predicate NETLIST N)
,(mapAND
(map-value-lemma-hyp inputs 'N)))
(EQUAL
(SE ,module-name ,(mapAPPEND inputs)
ST NETLIST)
,(mapAPPEND
(map-value-lemma-concl specs))))
:hints (("Goal"
:expand (:free (inputs N)
(SE ,module-name ,(mapAPPEND inputs)
ST NETLIST))
:in-theory (ENABLE de-rules ,predicate ,destructor))))
)))
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