• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
    • Gl
    • Esim
    • Vl2014
    • Sv
      • Svex-stvs
      • Svex-decomposition-methodology
      • Sv-versus-esim
      • Svex-decomp
      • Svex-compose-dfs
      • Svex-compilation
      • Moddb
      • Svmods
      • Svstmt
      • Sv-tutorial
      • Expressions
      • Symbolic-test-vector
      • Vl-to-svex
        • Vl-to-sv
        • Vl-design->sv-design
          • Vl-simpconfig
          • Vl-hierarchy-sv-translation
          • Vl-expr-svex-translation
            • Sv::vl-expr.lisp
              • Vl-scopecontext-to-addr
              • Vl-binaryop-to-svex
              • Vl-expr-to-svex-maybe-typed
              • Vl-datatype-syscall-to-svex
              • Vl-operandinfo-to-svex-preproc
              • Vl-structmemberlist->types
              • Vl-seltrace-to-svex-select
              • Vl-portdecllist->types
              • Vl-operandinfo-to-svex-select
              • Vl-plusminus-partselect->svex
              • Vl-arrayrange->rel-lsb-and-width
              • Vl-unaryop-to-svex
              • Vl-funcall-args-to-ordered
              • Vl-expr-to-svex-lhs
              • Vl-operandinfo-to-svex
              • Vl-array-assignpat-keyval-resolve
              • Vl-err->vfatal
              • Vl-datatypelist-usertype-resolve
              • Vl-upscope-to-svex-upscope
              • Vl-err->fatal
              • Vl-streaming-concat-trunc/extend
              • Vl-operandinfo-base-svar
              • Vl-index-shift-amount
              • Vttree->constraints
              • Vl-slicesize-resolve
              • Vl-function-map-find-matching-aux
              • Vl-funname-lookup
              • Vl-datatype-size-warn
              • Svex-repeat-aux
              • Vl-$test$plusargs-to-svex
              • Svex-extend
              • Vl-structmemberlist-shift-bits
              • Vl-datatype-slot-width/range
              • Vl-datatype-index-shift-amount
              • Vl-datatype-field-shift-amount
              • 4vec-extend
              • Vl-function-pair-inputs-with-actuals
              • Vl-expr-to-svex-untyped
              • Vl-function-map-check-matching
              • Vl-datatype-syscall-remove-dims
              • Svex-concat-list-aux
              • Vttree-add-constraints
              • Vttree-add-warnings
              • Vl-check-struct-assignpat-keys
              • Vl-check-array-assignpat-keys
              • Sv::constraintlist-subst-memo
              • Vl-svex-keyval-index-lookup
              • Vl-function-map-find-matching
              • Vl-convert-dollarsign-to-expr
              • Vttree->constraints-acc
              • Vl-seltrace-type
              • Vl-seltrace-to-path
              • Vl-keyval-member-lookup
              • Svex-repeat
              • Vttree->warnings-acc
              • Vl-trunc/extend-type-err
              • Constraintlist-add-ctx
              • Vl-hidtrace-add-to-path
              • Svex-multiconcat
              • Vttree-join
              • Vl-value-to-string-aux
              • Vl-seltrace-add-to-path
              • Vl-value-to-4vec
              • Vl-expr-to-svex-selfdet
              • Vl-svex-keyval-default-lookup
              • Vl-$test$plusargs-p
              • Vl-value-to-svex
              • Vl-value-in-range
              • Vl-keyval-default-lookup
              • Sv::svexlist-args-extract-constants
              • Vl-string->bits
              • Vl-size-to-unsigned-logic
              • Vl-hidtrace-to-path
              • Svex-concat-list
              • Vttree->warnings
              • Vl-seltrace-unres-count
              • Vl-datatype-index-is-bitselect
              • Vl-bitlist->4vec
              • Vl-svex-keyvallist-vars
              • Vl-hidstep->svex-index
              • Vl-selstep->svex-name
              • Vl-datatypelist-resolved-p
              • Vl-datatype-$unpacked_dimensions
              • Vl-datatype-$dimensions
              • Vl-bitlist->offset
              • Vl-bitlist->onset
              • Vl-streamexprlist-has-with
              • Vl-hidstep-resolved-p
              • Vl-expr-needs-type-context
              • Vl-streamexprlist->exprs
              • Vl-integer-to-string
              • Vl-hidtrace-resolved-p
              • Vl-selstep-resolved-p
              • Vl-select-resolved-p
              • Vl-svex-keyvallist
              • Vl-datatypelist
              • Svex-x
            • Vttree
          • Vl-design->svex-modalist
          • Vl-svstmt
        • Vl-to-sv-main
        • Vl-simplify-sv
        • Vl-user-paramsettings->unparam-names
        • Vl-user-paramsettings->modnames
    • Vwsim
    • Fgl
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Sv::vl-expr.lisp

Vl-plusminus-partselect->svex

This ONLY shifts the base expression to the right point for the partselect; it does not truncate it at the right width.

Signature

(vl-plusminus-partselect->svex x type psel base-svex width) 
  → 
(mv err result)

Arguments

x — select to apply the partselect to.
    Guard (sv::svex-select-p x).

type — type of base expr.
    Guard (vl-datatype-p type).

psel — Guard (vl-plusminus-p psel).

base-svex — base index.
    Guard (sv::svex-p base-svex).

width — width index.
    Guard (natp width).

Returns

err — Type (iff (vl-msg-p err) err).

result — Type (implies (not err) (sv::svex-select-p result)).

Definitions and Theorems

Function: vl-plusminus-partselect->svex

(defun vl-plusminus-partselect->svex (x type psel base-svex width)
 (declare (xargs :guard (and (sv::svex-select-p x)
                             (vl-datatype-p type)
                             (vl-plusminus-p psel)
                             (sv::svex-p base-svex)
                             (natp width))))
 (declare (xargs :guard (vl-datatype-resolved-p type)))
 (let ((__function__ 'vl-plusminus-partselect->svex))
  (declare (ignorable __function__))
  (b*
   (((vl-plusminus psel))
    ((mv err slotsize dim-msb dim-lsb)
     (vl-datatype-slot-width/range type))
    ((when err) (mv err nil))
    (downp (<= dim-lsb dim-msb))
    (width-svex (svex-int (lnfix width)))
    (sel-lsb
      (if downp
        (if psel.minusp
            (sv::svcall + base-svex
                        (sv::svcall + (svex-int 1)
                                    (sv::svcall sv::u- width-svex)))
          base-svex)
        (if psel.minusp base-svex
          (sv::svcall + base-svex
                      (sv::svcall + (svex-int -1)
                                  width-svex)))))
    (shift-amt
         (vl-index-shift-amount slotsize dim-msb dim-lsb sel-lsb))
    (width (* slotsize (lnfix width))))
   (mv nil
       (sv::make-svex-select-part :lsb shift-amt
                                  :width width
                                  :subexp x)))))

Theorem: return-type-of-vl-plusminus-partselect->svex.err

(defthm return-type-of-vl-plusminus-partselect->svex.err
 (b* (((mv ?err ?result)
       (vl-plusminus-partselect->svex x type psel base-svex width)))
   (iff (vl-msg-p err) err))
 :rule-classes :rewrite)

Theorem: return-type-of-vl-plusminus-partselect->svex.result

(defthm return-type-of-vl-plusminus-partselect->svex.result
 (b* (((mv ?err ?result)
       (vl-plusminus-partselect->svex x type psel base-svex width)))
   (implies (not err)
            (sv::svex-select-p result)))
 :rule-classes :rewrite)

Theorem: vars-of-vl-plusminus-partselect->svex

(defthm vars-of-vl-plusminus-partselect->svex
 (b* (((mv ?err ?result)
       (vl-plusminus-partselect->svex x type psel base-svex width)))
  (implies
      (and (not (member v
                        (double-rewrite (sv::svex-select-vars x))))
           (not (member v
                        (double-rewrite (sv::svex-vars base-svex))))
           (not err))
      (not (member v (sv::svex-select-vars result))))))

Theorem: vl-plusminus-partselect->svex-of-svex-select-fix-x

(defthm vl-plusminus-partselect->svex-of-svex-select-fix-x
  (equal
       (vl-plusminus-partselect->svex (sv::svex-select-fix x)
                                      type psel base-svex width)
       (vl-plusminus-partselect->svex x type psel base-svex width)))

Theorem: vl-plusminus-partselect->svex-svex-select-equiv-congruence-on-x

(defthm
    vl-plusminus-partselect->svex-svex-select-equiv-congruence-on-x
 (implies
  (sv::svex-select-equiv x x-equiv)
  (equal (vl-plusminus-partselect->svex x type psel base-svex width)
         (vl-plusminus-partselect->svex
              x-equiv type psel base-svex width)))
 :rule-classes :congruence)

Theorem: vl-plusminus-partselect->svex-of-vl-datatype-fix-type

(defthm vl-plusminus-partselect->svex-of-vl-datatype-fix-type
  (equal
       (vl-plusminus-partselect->svex x (vl-datatype-fix type)
                                      psel base-svex width)
       (vl-plusminus-partselect->svex x type psel base-svex width)))

Theorem: vl-plusminus-partselect->svex-vl-datatype-equiv-congruence-on-type

(defthm
 vl-plusminus-partselect->svex-vl-datatype-equiv-congruence-on-type
 (implies
  (vl-datatype-equiv type type-equiv)
  (equal (vl-plusminus-partselect->svex x type psel base-svex width)
         (vl-plusminus-partselect->svex
              x type-equiv psel base-svex width)))
 :rule-classes :congruence)

Theorem: vl-plusminus-partselect->svex-of-vl-plusminus-fix-psel

(defthm vl-plusminus-partselect->svex-of-vl-plusminus-fix-psel
  (equal
       (vl-plusminus-partselect->svex x type (vl-plusminus-fix psel)
                                      base-svex width)
       (vl-plusminus-partselect->svex x type psel base-svex width)))

Theorem: vl-plusminus-partselect->svex-vl-plusminus-equiv-congruence-on-psel

(defthm
 vl-plusminus-partselect->svex-vl-plusminus-equiv-congruence-on-psel
 (implies
  (vl-plusminus-equiv psel psel-equiv)
  (equal (vl-plusminus-partselect->svex x type psel base-svex width)
         (vl-plusminus-partselect->svex
              x type psel-equiv base-svex width)))
 :rule-classes :congruence)

Theorem: vl-plusminus-partselect->svex-of-svex-fix-base-svex

(defthm vl-plusminus-partselect->svex-of-svex-fix-base-svex
  (equal
       (vl-plusminus-partselect->svex
            x type psel (sv::svex-fix base-svex)
            width)
       (vl-plusminus-partselect->svex x type psel base-svex width)))

Theorem: vl-plusminus-partselect->svex-svex-equiv-congruence-on-base-svex

(defthm
   vl-plusminus-partselect->svex-svex-equiv-congruence-on-base-svex
 (implies
  (sv::svex-equiv base-svex base-svex-equiv)
  (equal (vl-plusminus-partselect->svex x type psel base-svex width)
         (vl-plusminus-partselect->svex
              x type psel base-svex-equiv width)))
 :rule-classes :congruence)

Theorem: vl-plusminus-partselect->svex-of-nfix-width

(defthm vl-plusminus-partselect->svex-of-nfix-width
 (equal
  (vl-plusminus-partselect->svex x type psel base-svex (nfix width))
  (vl-plusminus-partselect->svex x type psel base-svex width)))

Theorem: vl-plusminus-partselect->svex-nat-equiv-congruence-on-width

(defthm vl-plusminus-partselect->svex-nat-equiv-congruence-on-width
 (implies
  (acl2::nat-equiv width width-equiv)
  (equal (vl-plusminus-partselect->svex x type psel base-svex width)
         (vl-plusminus-partselect->svex
              x type psel base-svex width-equiv)))
 :rule-classes :congruence)