• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
    • X86isa
      • Program-execution
      • Sdm-instruction-set-summary
      • Tlb
      • Booting-linux
      • Introduction
      • Asmtest
      • X86isa-build-instructions
      • Publications
      • Contributors
      • Machine
        • X86isa-state
        • Syscalls
        • Cpuid
        • Linear-memory
        • Rflag-specifications
        • Characterizing-undefined-behavior
        • Top-level-memory
        • App-view
        • X86-decoder
        • Physical-memory
        • Decoding-and-spec-utils
          • Read-operands-and-write-results
          • Effective-address-computations
            • X86-effective-addr-32/64
            • X86-effective-addr-from-sib
            • X86-effective-addr-16
            • X86-effective-addr-16-disp
            • X86-effective-addr
          • Select-operand-size
          • Instruction-pointer-operations
          • Stack-pointer-operations
          • Select-segment-register
          • Prefix-modrm-sib-decoding
          • Select-address-size
          • Rex-byte-from-vex-prefixes
          • Check-instruction-length
          • Error-objects
          • Rip-guard-okp
          • Sib-decoding
        • Instructions
        • Register-readers-and-writers
        • X86-modes
        • Segmentation
        • Other-non-deterministic-computations
        • Environment
        • Paging
      • Implemented-opcodes
      • To-do
      • Proof-utilities
      • Peripherals
      • Model-validation
      • Modelcalls
      • Concrete-simulation-examples
      • Utils
      • Debugging-code-proofs
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Effective-address-computations

X86-effective-addr

Effective address calculation.

Signature

(x86-effective-addr proc-mode p4 temp-rip 
                    rex-byte r/m mod sib num-imm-bytes x86) 
 
  → 
(mv flg i64p-memory-address increment-rip-by x86)

Arguments

rex-byte — Rex byte.

r/m — r/m field of ModR/M byte.

mod — mod field of ModR/M byte.

sib — Sib byte.

num-imm-bytes — Number of immediate bytes (0, 1, 2, or 4) that follow the sib (or displacement bytes, if any).

Returns

x86 — Type (x86p x86), given (force (x86p x86)).

This is a wrapper that calls x86-effective-addr-16 or x86-effective-addr-32/64 based on the address size.

Definitions and Theorems

Function: x86-effective-addr

(defun x86-effective-addr
       (proc-mode p4 temp-rip
                  rex-byte r/m mod sib num-imm-bytes x86)
  (declare (xargs :stobjs (x86)))
  (declare (type (integer 0 4) proc-mode)
           (type (signed-byte 48) temp-rip)
           (type (unsigned-byte 8) rex-byte)
           (type (unsigned-byte 3) r/m)
           (type (unsigned-byte 2) mod)
           (type (unsigned-byte 8) sib)
           (type (unsigned-byte 3) num-imm-bytes))
  (declare (xargs :guard (and (2bits-p mod)
                              (3bits-p r/m)
                              (sib-p sib))))
  (let ((__function__ 'x86-effective-addr))
    (declare (ignorable __function__))
    (if (eql 2
             (select-address-size proc-mode (if p4 t nil)
                                  x86))
        (x86-effective-addr-16 proc-mode temp-rip r/m mod x86)
      (x86-effective-addr-32/64 proc-mode p4 temp-rip rex-byte
                                r/m mod sib num-imm-bytes x86))))

Theorem: x86p-of-x86-effective-addr.x86

(defthm x86p-of-x86-effective-addr.x86
 (implies (force (x86p x86))
          (b* (((mv ?flg ?i64p-memory-address
                    ?increment-rip-by ?x86)
                (x86-effective-addr proc-mode p4 temp-rip rex-byte
                                    r/m mod sib num-imm-bytes x86)))
            (x86p x86)))
 :rule-classes :rewrite)

Theorem: i64p-mv-nth-1-x86-effective-addr

(defthm i64p-mv-nth-1-x86-effective-addr
 (signed-byte-p
      64
      (mv-nth 1
              (x86-effective-addr proc-mode p4 temp-rip rex-byte
                                  r/m mod sib num-imm-bytes x86)))
 :rule-classes
 (:rewrite
  (:type-prescription
   :corollary
   (integerp
        (mv-nth 1
                (x86-effective-addr proc-mode p4 temp-rip rex-byte
                                    r/m mod sib num-imm-bytes x86)))
   :hints (("Goal" :in-theory '(signed-byte-p integer-range-p))))
  (:linear
   :corollary
   (and
    (<= -9223372036854775808
        (mv-nth 1
                (x86-effective-addr proc-mode p4 temp-rip rex-byte
                                    r/m mod sib num-imm-bytes x86)))
    (<
     (mv-nth
        1
        (x86-effective-addr proc-mode p4 temp-rip
                            rex-byte r/m mod sib num-imm-bytes x86))
     9223372036854775808))
   :hints
   (("Goal"
         :in-theory '(signed-byte-p integer-range-p (:e expt)))))))

Theorem: natp-mv-nth-2-x86-effective-addr

(defthm natp-mv-nth-2-x86-effective-addr
  (natp (mv-nth 2
                (x86-effective-addr proc-mode p4 temp-rip rex-byte
                                    r/m mod sib num-imm-bytes x86)))
  :rule-classes :type-prescription)

Theorem: mv-nth-2-x86-effective-addr-<=-4

(defthm mv-nth-2-x86-effective-addr-<=-4
 (<=
   (mv-nth
        2
        (x86-effective-addr proc-mode p4 temp-rip
                            rex-byte r/m mod sib num-imm-bytes x86))
   4)
 :rule-classes :linear)

Theorem: x86-effective-addr-when-64-bit-modep

(defthm x86-effective-addr-when-64-bit-modep
  (equal (x86-effective-addr 0 p4 temp-rip
                             rex-byte r/m mod sib num-imm-bytes x86)
         (x86-effective-addr-32/64 0 p4 temp-rip rex-byte
                                   r/m mod sib num-imm-bytes x86)))