Fix NaN handling in is_sign_negative/positive

See #42425

src/libcore/num/f32.rs

@@ -205,18 +205,25 @@ impl Float for f32 {
         }
     }
 
-    /// Returns `true` if `self` is positive, including `+0.0` and
+    /// Returns `true` if and only if `self` has a positive sign, including `+0.0`, `NaN`s with
-    /// `Float::infinity()`.
+    /// positive sign bit and positive infinity.
     #[inline]
     fn is_sign_positive(self) -> bool {
-        self > 0.0 || (1.0 / self) == INFINITY
+        !self.is_sign_negative()
     }
 
-    /// Returns `true` if `self` is negative, including `-0.0` and
+    /// Returns `true` if and only if `self` has a negative sign, including `-0.0`, `NaN`s with
-    /// `Float::neg_infinity()`.
+    /// negative sign bit and negative infinity.
     #[inline]
     fn is_sign_negative(self) -> bool {
-        self < 0.0 || (1.0 / self) == NEG_INFINITY
+        // IEEE754 says: isSignMinus(x) is true if and only if x has negative sign. isSignMinus
+        // applies to zeros and NaNs as well.
+        #[repr(C)]
+        union F32Bytes {
+            f: f32,
+            b: u32
+        }
+        unsafe { F32Bytes { f: self }.b & 0x8000_0000 != 0 }
     }
 
     /// Returns the reciprocal (multiplicative inverse) of the number.

src/libcore/num/f64.rs

@@ -205,18 +205,23 @@ impl Float for f64 {
         }
     }
 
-    /// Returns `true` if `self` is positive, including `+0.0` and
+    /// Returns `true` if and only if `self` has a positive sign, including `+0.0`, `NaN`s with
-    /// `Float::infinity()`.
+    /// positive sign bit and positive infinity.
     #[inline]
     fn is_sign_positive(self) -> bool {
-        self > 0.0 || (1.0 / self) == INFINITY
+        !self.is_sign_negative()
     }
 
-    /// Returns `true` if `self` is negative, including `-0.0` and
+    /// Returns `true` if and only if `self` has a negative sign, including `-0.0`, `NaN`s with
-    /// `Float::neg_infinity()`.
+    /// negative sign bit and negative infinity.
     #[inline]
     fn is_sign_negative(self) -> bool {
-        self < 0.0 || (1.0 / self) == NEG_INFINITY
+        #[repr(C)]
+        union F64Bytes {
+            f: f64,
+            b: u64
+        }
+        unsafe { F64Bytes { f: self }.b & 0x8000_0000_0000_0000 != 0 }
     }
 
     /// Returns the reciprocal (multiplicative inverse) of the number.

src/libstd/f32.rs

@@ -365,39 +365,29 @@ impl f32 {
     #[inline]
     pub fn signum(self) -> f32 { num::Float::signum(self) }
 
-    /// Returns `true` if `self`'s sign bit is positive, including
+    /// Returns `true` if and only if `self` has a positive sign, including `+0.0`, `NaN`s with
-    /// `+0.0` and `INFINITY`.
+    /// positive sign bit and positive infinity.
     ///
     /// ```
-    /// use std::f32;
-    ///
-    /// let nan = f32::NAN;
     /// let f = 7.0_f32;
     /// let g = -7.0_f32;
     ///
     /// assert!(f.is_sign_positive());
     /// assert!(!g.is_sign_positive());
-    /// // Requires both tests to determine if is `NaN`
-    /// assert!(!nan.is_sign_positive() && !nan.is_sign_negative());
     /// ```
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn is_sign_positive(self) -> bool { num::Float::is_sign_positive(self) }
 
-    /// Returns `true` if `self`'s sign is negative, including `-0.0`
+    /// Returns `true` if and only if `self` has a negative sign, including `-0.0`, `NaN`s with
-    /// and `NEG_INFINITY`.
+    /// negative sign bit and negative infinity.
     ///
     /// ```
-    /// use std::f32;
-    ///
-    /// let nan = f32::NAN;
     /// let f = 7.0f32;
     /// let g = -7.0f32;
     ///
     /// assert!(!f.is_sign_negative());
     /// assert!(g.is_sign_negative());
-    /// // Requires both tests to determine if is `NaN`.
-    /// assert!(!nan.is_sign_positive() && !nan.is_sign_negative());
     /// ```
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
@@ -1186,7 +1176,7 @@ mod tests {
         assert!(!nan.is_infinite());
         assert!(!nan.is_finite());
         assert!(!nan.is_normal());
-        assert!(!nan.is_sign_positive());
+        assert!(nan.is_sign_positive());
         assert!(!nan.is_sign_negative());
         assert_eq!(Fp::Nan, nan.classify());
     }
@@ -1430,7 +1420,8 @@ mod tests {
         assert!(!(-1f32).is_sign_positive());
         assert!(!NEG_INFINITY.is_sign_positive());
         assert!(!(1f32/NEG_INFINITY).is_sign_positive());
-        assert!(!NAN.is_sign_positive());
+        assert!(NAN.is_sign_positive());
+        assert!(!(-NAN).is_sign_positive());
     }
 
     #[test]
@@ -1443,6 +1434,7 @@ mod tests {
         assert!(NEG_INFINITY.is_sign_negative());
         assert!((1f32/NEG_INFINITY).is_sign_negative());
         assert!(!NAN.is_sign_negative());
+        assert!((-NAN).is_sign_negative());
     }
 
     #[test]

src/libstd/f64.rs

@@ -303,21 +303,15 @@ impl f64 {
     #[inline]
     pub fn signum(self) -> f64 { num::Float::signum(self) }
 
-    /// Returns `true` if `self`'s sign bit is positive, including
+    /// Returns `true` if and only if `self` has a positive sign, including `+0.0`, `NaN`s with
-    /// `+0.0` and `INFINITY`.
+    /// positive sign bit and positive infinity.
     ///
     /// ```
-    /// use std::f64;
-    ///
-    /// let nan: f64 = f64::NAN;
-    ///
     /// let f = 7.0_f64;
     /// let g = -7.0_f64;
     ///
     /// assert!(f.is_sign_positive());
     /// assert!(!g.is_sign_positive());
-    /// // Requires both tests to determine if is `NaN`
-    /// assert!(!nan.is_sign_positive() && !nan.is_sign_negative());
     /// ```
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
@@ -328,21 +322,15 @@ impl f64 {
     #[inline]
     pub fn is_positive(self) -> bool { num::Float::is_sign_positive(self) }
 
-    /// Returns `true` if `self`'s sign is negative, including `-0.0`
+    /// Returns `true` if and only if `self` has a negative sign, including `-0.0`, `NaN`s with
-    /// and `NEG_INFINITY`.
+    /// negative sign bit and negative infinity.
     ///
     /// ```
-    /// use std::f64;
-    ///
-    /// let nan = f64::NAN;
-    ///
     /// let f = 7.0_f64;
     /// let g = -7.0_f64;
     ///
     /// assert!(!f.is_sign_negative());
     /// assert!(g.is_sign_negative());
-    /// // Requires both tests to determine if is `NaN`.
-    /// assert!(!nan.is_sign_positive() && !nan.is_sign_negative());
     /// ```
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
@@ -1103,7 +1091,7 @@ mod tests {
         assert!(!nan.is_infinite());
         assert!(!nan.is_finite());
         assert!(!nan.is_normal());
-        assert!(!nan.is_sign_positive());
+        assert!(nan.is_sign_positive());
         assert!(!nan.is_sign_negative());
         assert_eq!(Fp::Nan, nan.classify());
     }
@@ -1346,7 +1334,8 @@ mod tests {
         assert!(!(-1f64).is_sign_positive());
         assert!(!NEG_INFINITY.is_sign_positive());
         assert!(!(1f64/NEG_INFINITY).is_sign_positive());
-        assert!(!NAN.is_sign_positive());
+        assert!(NAN.is_sign_positive());
+        assert!(!(-NAN).is_sign_positive());
     }
 
     #[test]
@@ -1359,6 +1348,7 @@ mod tests {
         assert!(NEG_INFINITY.is_sign_negative());
         assert!((1f64/NEG_INFINITY).is_sign_negative());
         assert!(!NAN.is_sign_negative());
+        assert!((-NAN).is_sign_negative());
     }
 
     #[test]