• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Community
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
    • X86isa
      • Program-execution
      • Sdm-instruction-set-summary
      • Tlb
      • Running-linux
      • Introduction
      • Asmtest
      • X86isa-build-instructions
      • Publications
      • Contributors
      • Machine
        • X86isa-state
        • Syscalls
        • Cpuid
        • Linear-memory
        • Rflag-specifications
          • Rflags-reads-and-writes
            • Write-user-rflags
            • Undef-flg-logic
            • Undef-flg
          • General-sf-spec-fn
          • General-cf-spec-fn
          • General-pf-spec-fn
          • General-of-spec-fn
          • Zf-spec
          • Sbb-af-spec8
          • Sbb-af-spec64
          • Sbb-af-spec32
          • Sbb-af-spec16
          • Adc-af-spec8
          • Adc-af-spec64
          • Adc-af-spec32
          • Adc-af-spec16
          • Sub-af-spec8
          • Sub-af-spec64
          • Sub-af-spec32
          • Sub-af-spec16
          • Add-af-spec8
          • Add-af-spec64
          • Add-af-spec32
          • Add-af-spec16
          • Pf-spec64
          • Pf-spec32
          • Pf-spec16
          • Of-spec64
          • Sf-spec64
          • Sf-spec32
          • Sf-spec16
          • Pf-spec8
          • Of-spec8
          • Of-spec32
          • Of-spec16
          • Cf-spec8
          • Cf-spec64
          • Cf-spec32
          • Cf-spec16
          • Sf-spec8
        • Characterizing-undefined-behavior
        • Top-level-memory
        • App-view
        • X86-decoder
        • Physical-memory
        • Decoding-and-spec-utils
        • 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

• Rflags-reads-and-writes

Write-user-rflags

Writing user rflags (CF, PF, AF, ZF, SF, and OF), including undefined ones, to the x86 state

Signature

(write-user-rflags user-flags-vector undefined-mask x86) → x86

Returns

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

We set the undefined flags, which are indicated by mask, to the value returned by undef-read.

Definitions and Theorems

Function: write-user-rflags$inline

(defun write-user-rflags$inline
       (user-flags-vector undefined-mask x86)
  (declare (xargs :stobjs (x86)))
  (declare (type (unsigned-byte 32)
                 user-flags-vector)
           (type (unsigned-byte 32)
                 undefined-mask))
  (b* ((user-flags-vector (mbe :logic (n32 user-flags-vector)
                               :exec user-flags-vector))
       (undefined-mask (mbe :logic (n32 undefined-mask)
                            :exec undefined-mask))
       ((the (unsigned-byte 32) input-rflags)
        (mbe :logic (n32 (rflags x86))
             :exec (rflags x86))))
    (mbe :logic
         (b* ((x86 (if (equal (rflagsbits->cf undefined-mask)
                              1)
                       (!flgi-undefined :cf x86)
                     (!flgi :cf (rflagsbits->cf user-flags-vector)
                            x86)))
              (x86 (if (equal (rflagsbits->pf undefined-mask)
                              1)
                       (!flgi-undefined :pf x86)
                     (!flgi :pf (rflagsbits->pf user-flags-vector)
                            x86)))
              (x86 (if (equal (rflagsbits->af undefined-mask)
                              1)
                       (!flgi-undefined :af x86)
                     (!flgi :af (rflagsbits->af user-flags-vector)
                            x86)))
              (x86 (if (equal (rflagsbits->zf undefined-mask)
                              1)
                       (!flgi-undefined :zf x86)
                     (!flgi :zf (rflagsbits->zf user-flags-vector)
                            x86)))
              (x86 (if (equal (rflagsbits->sf undefined-mask)
                              1)
                       (!flgi-undefined :sf x86)
                     (!flgi :sf (rflagsbits->sf user-flags-vector)
                            x86)))
              (x86 (if (equal (rflagsbits->of undefined-mask)
                              1)
                       (!flgi-undefined :of x86)
                     (!flgi :of (rflagsbits->of user-flags-vector)
                            x86))))
           x86)
         :exec
         (if (eql undefined-mask 0)
             (b* ((x86 (!flgi :cf (rflagsbits->cf user-flags-vector)
                              x86))
                  (x86 (!flgi :pf (rflagsbits->pf user-flags-vector)
                              x86))
                  (x86 (!flgi :af (rflagsbits->af user-flags-vector)
                              x86))
                  (x86 (!flgi :zf (rflagsbits->zf user-flags-vector)
                              x86))
                  (x86 (!flgi :sf (rflagsbits->sf user-flags-vector)
                              x86))
                  (x86 (!flgi :of (rflagsbits->of user-flags-vector)
                              x86)))
               x86)
           (b* ((x86 (if (equal (rflagsbits->cf undefined-mask)
                                1)
                         (!flgi-undefined :cf x86)
                       (!flgi :cf (rflagsbits->cf user-flags-vector)
                              x86)))
                (x86 (if (equal (rflagsbits->pf undefined-mask)
                                1)
                         (!flgi-undefined :pf x86)
                       (!flgi :pf (rflagsbits->pf user-flags-vector)
                              x86)))
                (x86 (if (equal (rflagsbits->af undefined-mask)
                                1)
                         (!flgi-undefined :af x86)
                       (!flgi :af (rflagsbits->af user-flags-vector)
                              x86)))
                (x86 (if (equal (rflagsbits->zf undefined-mask)
                                1)
                         (!flgi-undefined :zf x86)
                       (!flgi :zf (rflagsbits->zf user-flags-vector)
                              x86)))
                (x86 (if (equal (rflagsbits->sf undefined-mask)
                                1)
                         (!flgi-undefined :sf x86)
                       (!flgi :sf (rflagsbits->sf user-flags-vector)
                              x86)))
                (x86 (if (equal (rflagsbits->of undefined-mask)
                                1)
                         (!flgi-undefined :of x86)
                       (!flgi :of (rflagsbits->of user-flags-vector)
                              x86))))
             x86)))))

Theorem: x86p-of-write-user-rflags

(defthm x86p-of-write-user-rflags
  (implies (x86p x86)
           (b* ((x86 (write-user-rflags$inline
                          user-flags-vector undefined-mask x86)))
             (x86p x86)))
  :rule-classes :rewrite)

Theorem: xr-write-user-rflags

(defthm xr-write-user-rflags
  (implies (and (not (equal fld :rflags))
                (not (equal fld :undef)))
           (equal (xr fld index
                      (write-user-rflags flags mask x86))
                  (xr fld index x86))))

Theorem: xr-write-user-rflags-no-mask

(defthm xr-write-user-rflags-no-mask
  (implies (not (equal fld :rflags))
           (equal (xr fld
                      index (write-user-rflags flags 0 x86))
                  (xr fld index x86))))

Theorem: rflags-and-write-user-rflags-no-mask

(defthm rflags-and-write-user-rflags-no-mask
  (equal (write-user-rflags user-flags-vector 0 x86)
         (b* ((x86 (!flgi :cf (rflagsbits->cf user-flags-vector)
                          x86))
              (x86 (!flgi :pf (rflagsbits->pf user-flags-vector)
                          x86))
              (x86 (!flgi :af (rflagsbits->af user-flags-vector)
                          x86))
              (x86 (!flgi :zf (rflagsbits->zf user-flags-vector)
                          x86))
              (x86 (!flgi :sf (rflagsbits->sf user-flags-vector)
                          x86))
              (x86 (!flgi :of (rflagsbits->of user-flags-vector)
                          x86)))
           x86)))