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lines changed Original file line number Diff line number Diff line change @@ -719,12 +719,13 @@ impl f32 {
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/// # Examples
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///
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/// ```
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- /// let x = 6.0f32 ;
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+ /// let x = 1e-8_f32 ;
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///
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- /// // e^(ln(6)) - 1
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- /// let abs_difference = (x.ln().exp_m1() - 5.0).abs();
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+ /// // for very small x, e^x is approximately 1 + x + x^2 / 2
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+ /// let approx = x + x * x / 2.0;
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+ /// let abs_difference = (x.exp_m1() - approx).abs();
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///
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- /// assert!(abs_difference <= f32::EPSILON );
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+ /// assert!(abs_difference < 1e-10 );
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/// ```
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#[ must_use = "method returns a new number and does not mutate the original value" ]
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#[ stable( feature = "rust1" , since = "1.0.0" ) ]
Original file line number Diff line number Diff line change @@ -721,12 +721,13 @@ impl f64 {
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/// # Examples
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///
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/// ```
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- /// let x = 7.0_f64 ;
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+ /// let x = 1e-16_f64 ;
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///
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- /// // e^(ln(7)) - 1
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- /// let abs_difference = (x.ln().exp_m1() - 6.0).abs();
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+ /// // for very small x, e^x is approximately 1 + x + x^2 / 2
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+ /// let approx = x + x * x / 2.0;
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+ /// let abs_difference = (x.exp_m1() - approx).abs();
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///
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- /// assert!(abs_difference < 1e-10 );
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+ /// assert!(abs_difference < 1e-20 );
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/// ```
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#[ must_use = "method returns a new number and does not mutate the original value" ]
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#[ stable( feature = "rust1" , since = "1.0.0" ) ]
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