Use W(1)=Omega as an example instead of pi

CHANGELOG.md

@@ -1,3 +1,7 @@
+## 0.2.5
+
+ - Correct the domain bounds in the function documentation strings.
+
 ## 0.2.2, 0.2.3, and 0.2.4
 
  - Documentation improvements. 

README.md

@@ -11,28 +11,26 @@ This method uses a piecewise minimax rational function approximation.
 
 ## Examples
 
-Evaluate the principal branch of the Lambert W function to 50 bits of accuracy:
+Evaluate the Omega constant with the principal branch of the Lambert W function to 50 bits of accuracy:
 ```rust
 use lambert_w::accurate::lambert_w_0;
 
-use core::f64::consts::PI;
 use approx::assert_abs_diff_eq;
 
-let w = lambert_w_0(PI).unwrap();
+let w = lambert_w_0(1.0).unwrap();
 
-assert_abs_diff_eq!(w, 1.0736581947961492);
+assert_abs_diff_eq!(w, 0.5671432904097838);
 ```
 
 or to only 24 bits of accuracy, but with faster execution time:
 ```rust
 use lambert_w::fast::lambert_w_0;
 
-use core::f64::consts::PI;
 use approx::assert_abs_diff_eq;
 
-let w = lambert_w_0(PI).unwrap();
+let w = lambert_w_0(1.0).unwrap();
 
-assert_abs_diff_eq!(w, 1.0736581947961492, epsilon = 1e-7);
+assert_abs_diff_eq!(w, 0.5671432904097838, epsilon = 1e-7);
 ```
 
 ## Speed-accuracy trade-off

src/lib.rs

@@ -6,19 +6,18 @@
 //!
 //! ## Examples
 //!
-//! Evaluate the principal branch of the Lambert W function to 50 bits of accuracy:
+//! Evaluate the omega constant with the principal branch of the Lambert W function to 50 bits of accuracy:
 #![cfg_attr(
     feature = "50bits",
     doc = r##"
 ```
 use lambert_w::accurate::lambert_w_0;
 
-use core::f64::consts::PI;
 use approx::assert_abs_diff_eq;
 
-let w = lambert_w_0(PI).unwrap();
+let w = lambert_w_0(1.0).unwrap();
 
-assert_abs_diff_eq!(w, 1.0736581947961492);
+assert_abs_diff_eq!(w, 0.5671432904097838);
 ```
 "##
 )]
@@ -30,12 +29,11 @@ assert_abs_diff_eq!(w, 1.0736581947961492);
 ```
 use lambert_w::fast::lambert_w_0;
 
-use core::f64::consts::PI;
 use approx::assert_abs_diff_eq;
 
-let w = lambert_w_0(PI).unwrap();
+let w = lambert_w_0(1.0).unwrap();
 
-assert_abs_diff_eq!(w, 1.0736581947961492, epsilon = 1e-7);
+assert_abs_diff_eq!(w, 0.5671432904097838, epsilon = 1e-7);
 ```
 "##
 )]