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prelude.smt2
103 lines (103 loc) · 2.66 KB
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prelude.smt2
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; Define predicates for checking if add/sub overflows
; Unsigned add/sub
; 8 bit
(define-fun bvu8add_overflows ((x (_ BitVec 8)) (y (_ BitVec 8))) Bool
(let (
(ext_x ((_ zero_extend 1) x))
(ext_y ((_ zero_extend 1) y))
)
(= #b1 ((_ extract 8 8) (bvadd ext_x ext_y)))
)
)
; 16 bit
(define-fun bvu16add_overflows ((x (_ BitVec 16)) (y (_ BitVec 16))) Bool
(let (
(ext_x ((_ zero_extend 1) x))
(ext_y ((_ zero_extend 1) y))
)
(= #b1 ((_ extract 16 16) (bvadd ext_x ext_y)))
)
)
; 32 bit
(define-fun bvu32add_overflows ((x (_ BitVec 32)) (y (_ BitVec 32))) Bool
(let (
(ext_x ((_ zero_extend 1) x))
(ext_y ((_ zero_extend 1) y))
)
(= #b1 ((_ extract 32 32) (bvadd ext_x ext_y)))
)
)
; 64 bit
(define-fun bvu64add_overflows ((x (_ BitVec 64)) (y (_ BitVec 64))) Bool
(let (
(ext_x ((_ zero_extend 1) x))
(ext_y ((_ zero_extend 1) y))
)
(= #b1 ((_ extract 64 64) (bvadd ext_x ext_y)))
)
)
; 128 bit
(define-fun bvu128add_overflows ((x (_ BitVec 128)) (y (_ BitVec 128))) Bool
(let (
(ext_x ((_ zero_extend 1) x))
(ext_y ((_ zero_extend 1) y))
)
(= #b1 ((_ extract 128 128) (bvadd ext_x ext_y)))
)
)
; Sub
; 8 bit
(define-fun bvu8sub-overflows ((x (_ BitVec 8)) (y (_ BitVec 8))) Bool
(let (
(ext_x ((_ sign_extend 1) x))
(ext_y ((_ sign_extend 1) y))
)
(= #b1 ((_ extract 8 8) (bvsub ext_x ext_y)))
)
)
; Signed
; 8 bit
(define-fun bvs8add_overflows ((x (_ BitVec 8)) (y (_ BitVec 8))) Bool
(let (
(ext_x ((_ sign_extend 1) x))
(ext_y ((_ sign_extend 1) y))
)
(= #b1 ((_ extract 8 8) (bvadd ext_x ext_y)))
)
)
; 16 bit
(define-fun bvs16add_overflows ((x (_ BitVec 16)) (y (_ BitVec 16))) Bool
(let (
(ext_x ((_ sign_extend 1) x))
(ext_y ((_ sign_extend 1) y))
)
(= #b1 ((_ extract 16 16) (bvadd ext_x ext_y)))
)
)
; 32 bit
(define-fun bvs32add_overflows ((x (_ BitVec 32)) (y (_ BitVec 32))) Bool
(let (
(ext_x ((_ sign_extend 1) x))
(ext_y ((_ sign_extend 1) y))
)
(= #b1 ((_ extract 32 32) (bvadd ext_x ext_y)))
)
)
; 64 bit
(define-fun bvs64add_overflows ((x (_ BitVec 64)) (y (_ BitVec 64))) Bool
(let (
(ext_x ((_ sign_extend 1) x))
(ext_y ((_ sign_extend 1) y))
)
(= #b1 ((_ extract 64 64) (bvadd ext_x ext_y)))
)
)
; 128 bit
(define-fun bvs128add_overflows ((x (_ BitVec 128)) (y (_ BitVec 128))) Bool
(let (
(ext_x ((_ sign_extend 1) x))
(ext_y ((_ sign_extend 1) y))
)
(= #b1 ((_ extract 128 128) (bvadd ext_x ext_y)))
)
)