File: double_rounding.v

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coq 8.20.1%2Bdfsg-1
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Require Import Floats ZArith.

(* This test check that there is no double rounding with 80 bits registers inside float computations *)

Definition big_vm := Eval vm_compute in Z.ldexp one (53)%Z.
Definition small_vm := Eval vm_compute in (one + Z.ldexp one (-52)%Z)%float.
Definition result_vm := Eval vm_compute in (big_vm + small_vm)%float.
Definition check_vm := Eval vm_compute in (big_vm + one)%float.

Check (eq_refl : (result_vm ?= big_vm)%float = FGt).
Check (eq_refl : (check_vm ?= big_vm)%float = FEq).