ada: Restore SPARK_Mode On for numerical functions

GNATprove has ad-hoc support for the standard numerical functions, which
consists in emitting an unprovable preconditions on cases which could
lead to an overflow. These functions are thus valid to call from SPARK
code.

gcc/ada/

	* libgnat/a-ngelfu.ads: Restore SPARK_Mode from context.

diff --git a/gcc/ada/libgnat/a-ngelfu.ads b/gcc/ada/libgnat/a-ngelfu.ads
index ae06ea710ebfe86d5cfb8d5aef735cfff8e9f32d..f6d6c9643af9b9fb2daeb72746782e48c66bab09 100644 (file)
--- a/gcc/ada/libgnat/a-ngelfu.ads
+++ b/gcc/ada/libgnat/a-ngelfu.ads
@@ -116,17 +116,14 @@ is
      Post => (if X = 0.0 then Tan'Result = 0.0);
 
    function Tan (X, Cycle : Float_Type'Base) return Float_Type'Base with
-     SPARK_Mode => Off,  --  Tan can overflow for some values of X and Cycle
      Pre  => Cycle > 0.0
        and then abs Float_Type'Base'Remainder (X, Cycle) /= 0.25 * Cycle,
      Post => (if X = 0.0 then Tan'Result = 0.0);
 
    function Cot (X : Float_Type'Base) return Float_Type'Base with
-     SPARK_Mode => Off,  --  Cot can overflow for some values of X
      Pre => X /= 0.0;
 
    function Cot (X, Cycle : Float_Type'Base) return Float_Type'Base with
-     SPARK_Mode => Off,  --  Cot can overflow for some values of X and Cycle
      Pre => Cycle > 0.0
        and then X /= 0.0
        and then Float_Type'Base'Remainder (X, Cycle) /= 0.0
@@ -179,11 +176,9 @@ is
      Post => (if X > 0.0 and then Y = 0.0 then Arccot'Result = 0.0);
 
    function Sinh (X : Float_Type'Base) return Float_Type'Base with
-     SPARK_Mode => Off,  --  Sinh can overflow for some values of X
      Post => (if X = 0.0 then Sinh'Result = 0.0);
 
    function Cosh (X : Float_Type'Base) return Float_Type'Base with
-     SPARK_Mode => Off,  --  Cosh can overflow for some values of X
      Post => Cosh'Result >= 1.0
        and then (if X = 0.0 then Cosh'Result = 1.0);
 
@@ -192,7 +187,6 @@ is
        and then (if X = 0.0 then Tanh'Result = 0.0);
 
    function Coth (X : Float_Type'Base) return Float_Type'Base with
-     SPARK_Mode => Off,  --  Coth can overflow for some values of X
      Pre  => X /= 0.0,
      Post => abs Coth'Result >= 1.0;