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|
; X86ISA Library
; Note: The license below is based on the template at:
; http://opensource.org/licenses/BSD-3-Clause
; Copyright (C) 2015, Regents of the University of Texas
; All rights reserved.
; Redistribution and use in source and binary forms, with or without
; modification, are permitted provided that the following conditions are
; met:
; o Redistributions of source code must retain the above copyright
; notice, this list of conditions and the following disclaimer.
; o Redistributions in binary form must reproduce the above copyright
; notice, this list of conditions and the following disclaimer in the
; documentation and/or other materials provided with the distribution.
; o Neither the name of the copyright holders nor the names of its
; contributors may be used to endorse or promote products derived
; from this software without specific prior written permission.
; THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
; "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
; LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
; A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
; HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
; SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
; LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
; DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
; THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
; (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
; OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
; Original Author(s):
; Shilpi Goel <shigoel@cs.utexas.edu>
(in-package "X86ISA")
(include-book "app-view/user-level-memory-utils" :dir :proof-utils :ttags :all)
(include-book "init" :ttags :all)
(include-book "centaur/bitops/ihs-extensions" :dir :system)
(local (include-book "centaur/bitops/signed-byte-p" :dir :system))
(local (include-book "arithmetic/top-with-meta" :dir :system))
(local (in-theory (e/d* (x86-operation-mode
rime-size
rme-size
wime-size
wme-size)
(las-to-pas
xr-fault-wb-in-system-level-marking-view
xr-fault-wb-in-sys-view))))
;; ======================================================================
(defthmd effects-copyData-loop-recur
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (x86-run (loop-clk-recur) x86)
(XW
:RGF *RAX*
(LOGHEAD 64
(+ 18446744073709551612
(XR :RGF *RAX* X86)))
(XW
:RGF *RCX*
(MV-NTH 1 (RB 4 (XR :RGF *RDI* X86) :R X86))
(XW
:RGF *RSI* (+ 4 (XR :RGF *RSI* X86))
(XW
:RGF *RDI* (+ 4 (XR :RGF *RDI* X86))
(XW
:RIP nil (XR :RIP nil X86)
(MV-NTH
1
(WB
4 (XR :RGF *RSI* X86)
:W
(MV-NTH 1 (RB 4 (XR :RGF *RDI* X86) :R X86))
(!FLGI
:CF
(CF-SPEC64 (+ 18446744073709551612
(XR :RGF *RAX* X86)))
(!FLGI
:PF
(PF-SPEC64 (LOGHEAD 64
(+ 18446744073709551612
(XR :RGF *RAX* X86))))
(!FLGI :AF
(ADD-AF-SPEC64 (XR :RGF *RAX* X86)
18446744073709551612)
(!FLGI :ZF 0
(!FLGI :SF
(SF-SPEC64 (LOGHEAD 64
(+ 18446744073709551612
(XR :RGF *RAX* X86))))
(!FLGI :OF
(OF-SPEC64 (+ -4 (XR :RGF *RAX* X86)))
X86)))))))))))))))
:hints (("Goal"
:in-theory (e/d* (instruction-decoding-and-spec-rules
rflag-RoWs-enables
gpr-and-spec-4
gpr-add-spec-8
jcc/cmovcc/setcc-spec
sal/shl-spec
sal/shl-spec-64
select-segment-register
one-byte-opcode-execute
!rgfi-size
x86-operand-to-reg/mem
wr64
wr32
rr32
rr64
rml32
rml64
wml32
wml64
rr32
x86-operand-from-modr/m-and-sib-bytes
check-instruction-length
address-aligned-p
riml-size
riml32
n32-to-i32
n64-to-i64
riml08
two-byte-opcode-decode-and-execute
x86-effective-addr-when-64-bit-modep
x86-effective-addr-32/64
subset-p
signed-byte-p)
(get-prefixes-opener-lemma-group-4-prefix
get-prefixes-opener-lemma-group-3-prefix
get-prefixes-opener-lemma-group-2-prefix
get-prefixes-opener-lemma-group-1-prefix)))))
(defthm effects-copyData-loop-recur-destination-address-projection-original
;; dst[(+ -k dst-addr) to dst-addr] in (x86-run (loop-clk-recur) x86) =
;; dst[(+ -k src-addr) to src-addr] in x86
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (destination-bytes k dst-addr (x86-run (loop-clk-recur) x86))
(source-bytes k dst-addr x86)))
:hints (("Goal" :use ((:instance effects-copydata-loop-recur))
:in-theory (e/d* ()
(separate-smaller-regions
loop-clk-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-destination-address-projection-copied
;; dst[(dst-addr) to (dst-addr + 4)] in (x86-run (loop-clk-recur) x86) =
;; src[(src-addr) to (src-addr + 4)] in x86
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (destination-bytes 4 (+ 4 dst-addr) (x86-run (loop-clk-recur) x86))
(source-bytes 4 (+ 4 src-addr) x86)))
:hints (("Goal" :use ((:instance effects-copydata-loop-recur))
:in-theory (e/d* ()
(separate-smaller-regions
loop-clk-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-destination-address-projection
;; dst[(+ -k dst-addr) to (dst-addr + 4)] in (x86-run (loop-clk-recur) x86) =
;; src[(+ -k src-addr) to (src-addr + 4)] in x86
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (destination-bytes (+ 4 k) (+ 4 dst-addr) (x86-run (loop-clk-recur) x86))
(source-bytes (+ 4 k) (+ 4 src-addr) x86)))
:hints (("Goal"
:use ((:instance effects-copydata-loop-recur)
(:instance effects-copyData-loop-recur-destination-address-projection-copied)
(:instance effects-copyData-loop-recur-destination-address-projection-original)
(:instance rb-rb-split-reads
(k 4)
(j k)
(r-x :r)
(addr (+ (- k) (xr :rgf *rsi* x86)))
(x86 (x86-run (loop-clk-recur) x86)))
(:instance rb-rb-split-reads
(k 4)
(j k)
(r-x :r)
(addr (+ (- k) (xr :rgf *rdi* x86)))
(x86 x86)))
:in-theory (e/d* ()
(separate-smaller-regions
loop-clk-recur
effects-copyData-loop-recur-destination-address-projection-copied
effects-copyData-loop-recur-destination-address-projection-original
rb-rb-split-reads
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-source-address-projection-original
;; src[(+ -k src-addr) to src-addr] in (x86-run (loop-clk-recur) x86) =
;; src[(+ -k src-addr) to src-addr] in x86
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (source-bytes k src-addr (x86-run (loop-clk-recur) x86))
(source-bytes k src-addr x86)))
:hints (("Goal" :use ((:instance effects-copydata-loop-recur))
:in-theory (e/d* ()
(loop-clk-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-source-address-projection-copied
;; src[(src-addr) to (src-addr + 4)] in (x86-run (loop-clk-recur) x86) =
;; src[(src-addr) to (src-addr + 4)] in x86
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (source-bytes 4 (+ 4 src-addr) (x86-run (loop-clk-recur) x86))
(source-bytes 4 (+ 4 src-addr) x86)))
:hints (("Goal" :use ((:instance effects-copydata-loop-recur))
:in-theory (e/d* ()
(loop-clk-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-source-address-projection
;; src[(+ -k src-addr) to (src-addr + 4)] in (x86-run (loop-clk-recur) x86) =
;; src[(+ -k src-addr) to (src-addr + 4)] in x86
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (source-bytes (+ 4 k) (+ 4 src-addr) (x86-run (loop-clk-recur) x86))
(source-bytes (+ 4 k) (+ 4 src-addr) x86)))
:hints (("Goal" :use ((:instance effects-copydata-loop-recur)
(:instance effects-copyData-loop-recur-source-address-projection-copied)
(:instance effects-copyData-loop-recur-source-address-projection-original)
(:instance rb-rb-split-reads
(k 4)
(j k)
(r-x :r)
(addr (+ (- k) (xr :rgf *rdi* x86)))
(x86 (x86-run (loop-clk-recur) x86)))
(:instance rb-rb-split-reads
(k 4)
(j k)
(r-x :r)
(addr (+ (- k) (xr :rgf *rdi* x86)))
(x86 x86)))
:in-theory (e/d* ()
(separate-smaller-regions
loop-clk-recur
effects-copyData-loop-recur-source-address-projection-copied
effects-copyData-loop-recur-source-address-projection-original
rb-rb-split-reads
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-app-view-projection
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (xr :app-view nil (x86-run (loop-clk-recur) x86))
(xr :app-view nil x86)))
:hints (("Goal" :use ((:instance effects-copyData-loop-recur))
:in-theory (e/d* ()
(separate-smaller-regions
loop-clk-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-alignment-checking-enabled-p-projection
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (alignment-checking-enabled-p (x86-run (loop-clk-recur) x86))
(alignment-checking-enabled-p x86)))
:hints (("Goal" :use ((:instance effects-copyData-loop-recur))
:in-theory (e/d* (alignment-checking-enabled-p
rflag-RoWs-enables)
(separate-smaller-regions
loop-clk-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-ms-projection
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (xr :ms nil (x86-run (loop-clk-recur) x86))
(xr :ms nil x86)))
:hints (("Goal" :use ((:instance effects-copyData-loop-recur))
:in-theory (e/d* ()
(separate-smaller-regions
loop-clk-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-fault-projection
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (xr :fault nil (x86-run (loop-clk-recur) x86))
(xr :fault nil x86)))
:hints (("Goal" :use ((:instance effects-copyData-loop-recur))
:in-theory (e/d* ()
(separate-smaller-regions
loop-clk-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-program-at-projection
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m)
(equal prog-len (len *copydata*)))
(equal (program-at addr *copyData* (x86-run (loop-clk-recur) x86))
(program-at addr *copyData* x86)))
:hints (("Goal"
:use ((:instance effects-copyData-loop-recur))
:in-theory (e/d* ()
(loop-clk-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-rsp-projection
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (xr :rgf *rsp* (x86-run (loop-clk-recur) x86))
(xr :rgf *rsp* x86)))
:hints (("Goal" :use ((:instance effects-copyData-loop-recur))
:in-theory (e/d* ()
(separate-smaller-regions
loop-clk-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-rsi-projection
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (xr :rgf *rsi* (x86-run (loop-clk-recur) x86))
(+ 4 (xr :rgf *rsi* x86))))
:hints (("Goal" :use ((:instance effects-copyData-loop-recur))
:in-theory (e/d* ()
(separate-smaller-regions
loop-clk-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-rdi-projection
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (xr :rgf *rdi* (x86-run (loop-clk-recur) x86))
(+ 4 (xr :rgf *rdi* x86))))
:hints (("Goal"
:use ((:instance effects-copyData-loop-recur))
:in-theory (e/d* ()
(separate-smaller-regions
loop-clk-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-rax-projection
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (xr :rgf *rax* (x86-run (loop-clk-recur) x86))
(loghead 64 (+ #xfffffffffffffffc (xr :rgf *rax* x86)))))
:hints (("Goal"
:use ((:instance effects-copyData-loop-recur))
:in-theory (e/d* ()
(separate-smaller-regions
loop-clk-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-rip-projection
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (xr :rip nil (x86-run (loop-clk-recur) x86))
(xr :rip nil x86)))
:hints (("Goal"
:use ((:instance effects-copyData-loop-recur))
:in-theory (e/d* ()
(separate-smaller-regions
loop-clk-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-x86p-projection
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(x86p (x86-run (loop-clk-recur) x86)))
:hints (("Goal" :in-theory (e/d* ()
(separate-smaller-regions
loop-clk-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-return-address-projection
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (mv-nth 1 (rb 8 (+ 8 (xr :rgf *rsp* x86)) :r (x86-run (loop-clk-recur) x86)))
(mv-nth 1 (rb 8 (+ 8 (xr :rgf *rsp* x86)) :r x86))))
:hints (("Goal" :use ((:instance effects-copyData-loop-recur)
(:instance loop-preconditions-fwd-chain-to-its-body))
:in-theory (e/d* ()
(loop-clk-recur
loop-preconditions-fwd-chain-to-its-body
loop-preconditions
effects-copyData-loop-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-64-bit-modep-projection
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(equal (64-bit-modep (x86-run (loop-clk-recur) x86))
(64-bit-modep x86)))
:hints (("Goal"
:use effects-copyData-loop-recur
:in-theory (e/d* ()
(loop-clk-recur
(loop-clk-recur)
force (force))))))
(defthm effects-copyData-loop-recur-implies-loop-preconditions
(implies (and (loop-preconditions k m addr src-addr dst-addr x86)
(< 4 m))
(loop-preconditions (+ 4 k)
(loghead 64 (+ #xfffffffffffffffc m))
addr (+ 4 src-addr)
(+ 4 dst-addr)
(x86-run (loop-clk-recur) x86)))
:hints (("Goal"
:do-not-induct t
:use ((:instance loop-preconditions-fwd-chain-to-its-body))
:expand (loop-preconditions (+ 4 k)
(+ -4 (xr :rgf *rax* x86))
(+ -16 (xr :rip nil x86))
(+ 4 (xr :rgf *rdi* x86))
(+ 4 (xr :rgf *rsi* x86))
(x86-run (loop-clk-recur) x86))
:in-theory (e/d* (unsigned-byte-p
effects-copyData-loop-helper-11
effects-copyData-loop-helper-14)
(loop-clk-recur
rb-rb-split-reads
destination-bytes
source-bytes
loop-preconditions
loop-preconditions-fwd-chain-to-its-body
(loop-clk-recur)
force (force))))))
;; ======================================================================
|
