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[float_bounded_axiomatic] fix the floor error typo #27

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[float_bounded_axiomatic] fix the floor error typo #27

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8 changes: 4 additions & 4 deletions float/float_bounded_axiomatic/aerr_ulp_floor.pvs
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Original file line number Diff line number Diff line change
Expand Up @@ -9,12 +9,12 @@ aerr_ulp_floor
IMPORTING ieee754_nearest_even_rounding[b,p,emax]

aerr_ulp_floor(r1:real,e1:nnreal) : nnreal
= abs(floor(abs(r1)) - floor(abs(r1) + e1))
= e1 + 1

aerr_ulp_floor_correct
: AXIOM FORALL(f1: (finite?), r1: real, e1: nnreal)
: floor(proj(f1) - r1) <= e1 AND
: abs(proj(f1) - r1) <= e1 AND
finite?(floor_ieee754(f1))
IMPLIES floor(proj(floor_ieee754(f1)) - floor(r1)) <= aerr_ulp_floor(r1,e1)
IMPLIES abs(proj(floor_ieee754(f1)) - floor(r1)) <= aerr_ulp_floor(r1,e1)

END aerr_ulp_floor
END aerr_ulp_floor
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