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Diffstat (limited to 'arm/Nan.v')
-rw-r--r-- | arm/Nan.v | 34 |
1 files changed, 34 insertions, 0 deletions
diff --git a/arm/Nan.v b/arm/Nan.v new file mode 100644 index 0000000..d66d6ec --- /dev/null +++ b/arm/Nan.v @@ -0,0 +1,34 @@ +Require Import Fappli_IEEE. +Require Import Fappli_IEEE_bits. +Require Import Floats. +Require Import ZArith. +Require Import Integers. + +(* Needed to break a circular reference after extraction *) +Definition transform_quiet_pl := + Eval unfold Float.transform_quiet_pl in Float.transform_quiet_pl. + +Program Definition default_pl : bool * nan_pl 53 := (false, nat_iter 51 xO xH). + +Definition binop_pl (pl1 pl2:binary64) : bool*nan_pl 53 := + match pl1, pl2 with + | B754_nan s1 pl1, B754_nan s2 pl2 => + if (Pos.testbit (proj1_sig pl1) 51 && (* pl2 is sNan but pl1 is qNan *) + negb (Pos.testbit (proj1_sig pl2) 51))%bool + then (s2, transform_quiet_pl pl2) + else (s1, transform_quiet_pl pl1) + | B754_nan s1 pl1, _ => (s1, transform_quiet_pl pl1) + | _, B754_nan s2 pl2 => (s2, transform_quiet_pl pl2) + | _, _ => default_pl + end. + +Theorem binop_propagate1: Float.binop_propagate1_prop binop_pl. +Proof. + repeat intro. destruct f1, f2; try discriminate; simpl; + destruct Pos.testbit; reflexivity. +Qed. + +Theorem binop_propagate2: Float.binop_propagate2_prop binop_pl. +Proof. + repeat intro. destruct f1, f2, f3; try discriminate; simpl; reflexivity. +Qed. |