Trait typed_floats::Atan2

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pub trait Atan2<T> {
    type Output;

    // Required method
    fn atan2(self, rhs: T) -> Self::Output;
}
Expand description

This trait is used to specify the return type of the Atan2::atan2() function.

Required Associated Types§

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type Output

The resulting type after applying Atan2::atan2().

Required Methods§

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fn atan2(self, rhs: T) -> Self::Output

Computes the four quadrant arctangent of self (y) and other (x) in radians.

  • x = 0, y = 0: 0
  • x >= 0: arctan(y/x) -> [-pi/2, pi/2]
  • y >= 0: arctan(y/x) + pi -> (pi/2, pi]
  • y < 0: arctan(y/x) - pi -> (-pi, -pi/2)
§Examples
use typed_floats::tf64::NonNaN;
use typed_floats::tf64::consts::FRAC_PI_4;

// Positive angles measured counter-clockwise
// from positive x axis
// -pi/4 radians (45 deg clockwise)
let x1: NonNaN = 3.0_f64.try_into().unwrap();
let y1: NonNaN = (-3.0_f64).try_into().unwrap();

// 3pi/4 radians (135 deg counter-clockwise)
let x2 = -3.0_f64;
let y2 = 3.0_f64;

assert_relative_eq!(y1.atan2(x1), -core::f64::consts::FRAC_PI_4);
assert_relative_eq!(y2.atan2(x2), 3.0 * core::f64::consts::FRAC_PI_4);

See f64::atan2() for more details.

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impl Atan2<Negative> for Negative<f64>

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impl Atan2<Negative> for NegativeFinite<f64>

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impl Atan2<Negative> for NonNaN<f64>

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impl Atan2<Negative> for NonNaNFinite<f64>

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impl Atan2<Negative> for NonZeroNonNaN<f64>

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impl Atan2<Negative> for NonZeroNonNaNFinite<f64>

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impl Atan2<Negative> for Positive<f64>

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impl Atan2<Negative> for PositiveFinite<f64>

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impl Atan2<Negative> for StrictlyNegative<f64>

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impl Atan2<Negative> for StrictlyNegativeFinite<f64>

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impl Atan2<Negative> for StrictlyPositive<f64>

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impl Atan2<Negative> for StrictlyPositiveFinite<f64>

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impl Atan2<Negative<f32>> for Negative<f32>

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impl Atan2<Negative<f32>> for NegativeFinite<f32>

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impl Atan2<Negative<f32>> for NonNaN<f32>

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impl Atan2<Negative<f32>> for NonNaNFinite<f32>

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impl Atan2<Negative<f32>> for NonZeroNonNaN<f32>

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impl Atan2<Negative<f32>> for NonZeroNonNaNFinite<f32>

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impl Atan2<Negative<f32>> for Positive<f32>

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impl Atan2<Negative<f32>> for PositiveFinite<f32>

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impl Atan2<Negative<f32>> for StrictlyNegative<f32>

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impl Atan2<Negative<f32>> for StrictlyNegativeFinite<f32>

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impl Atan2<Negative<f32>> for StrictlyPositive<f32>

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impl Atan2<Negative<f32>> for StrictlyPositiveFinite<f32>

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impl Atan2<NegativeFinite> for Negative<f64>

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impl Atan2<NegativeFinite> for NegativeFinite<f64>

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impl Atan2<NegativeFinite> for NonNaN<f64>

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impl Atan2<NegativeFinite> for NonNaNFinite<f64>

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impl Atan2<NegativeFinite> for NonZeroNonNaN<f64>

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impl Atan2<NegativeFinite> for NonZeroNonNaNFinite<f64>

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impl Atan2<NegativeFinite> for Positive<f64>

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impl Atan2<NegativeFinite> for PositiveFinite<f64>

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impl Atan2<NegativeFinite> for StrictlyNegative<f64>

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impl Atan2<NegativeFinite> for StrictlyNegativeFinite<f64>

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impl Atan2<NegativeFinite> for StrictlyPositive<f64>

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impl Atan2<NegativeFinite> for StrictlyPositiveFinite<f64>

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impl Atan2<NegativeFinite<f32>> for Negative<f32>

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impl Atan2<NegativeFinite<f32>> for NegativeFinite<f32>

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impl Atan2<NegativeFinite<f32>> for NonNaN<f32>

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impl Atan2<NegativeFinite<f32>> for NonNaNFinite<f32>

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impl Atan2<NegativeFinite<f32>> for NonZeroNonNaN<f32>

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impl Atan2<NegativeFinite<f32>> for NonZeroNonNaNFinite<f32>

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impl Atan2<NegativeFinite<f32>> for Positive<f32>

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impl Atan2<NegativeFinite<f32>> for PositiveFinite<f32>

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impl Atan2<NegativeFinite<f32>> for StrictlyNegative<f32>

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impl Atan2<NegativeFinite<f32>> for StrictlyNegativeFinite<f32>

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impl Atan2<NegativeFinite<f32>> for StrictlyPositive<f32>

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impl Atan2<NegativeFinite<f32>> for StrictlyPositiveFinite<f32>

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impl Atan2<NonNaN> for Negative<f64>

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impl Atan2<NonNaN> for NegativeFinite<f64>

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impl Atan2<NonNaN> for NonNaN<f64>

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impl Atan2<NonNaN> for NonNaNFinite<f64>

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impl Atan2<NonNaN> for NonZeroNonNaN<f64>

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impl Atan2<NonNaN> for NonZeroNonNaNFinite<f64>

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impl Atan2<NonNaN> for Positive<f64>

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impl Atan2<NonNaN> for PositiveFinite<f64>

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impl Atan2<NonNaN> for StrictlyNegative<f64>

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impl Atan2<NonNaN> for StrictlyNegativeFinite<f64>

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impl Atan2<NonNaN> for StrictlyPositive<f64>

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impl Atan2<NonNaN> for StrictlyPositiveFinite<f64>

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impl Atan2<NonNaN<f32>> for Negative<f32>

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impl Atan2<NonNaN<f32>> for NegativeFinite<f32>

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impl Atan2<NonNaN<f32>> for NonNaN<f32>

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impl Atan2<NonNaN<f32>> for NonNaNFinite<f32>

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impl Atan2<NonNaN<f32>> for NonZeroNonNaN<f32>

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impl Atan2<NonNaN<f32>> for NonZeroNonNaNFinite<f32>

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impl Atan2<NonNaN<f32>> for Positive<f32>

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impl Atan2<NonNaN<f32>> for PositiveFinite<f32>

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impl Atan2<NonNaN<f32>> for StrictlyNegative<f32>

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impl Atan2<NonNaN<f32>> for StrictlyNegativeFinite<f32>

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impl Atan2<NonNaN<f32>> for StrictlyPositive<f32>

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impl Atan2<NonNaN<f32>> for StrictlyPositiveFinite<f32>

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impl Atan2<NonNaNFinite> for Negative<f64>

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impl Atan2<NonNaNFinite> for NegativeFinite<f64>

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impl Atan2<NonNaNFinite> for NonNaN<f64>

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impl Atan2<NonNaNFinite> for NonNaNFinite<f64>

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impl Atan2<NonNaNFinite> for NonZeroNonNaN<f64>

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impl Atan2<NonNaNFinite> for NonZeroNonNaNFinite<f64>

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impl Atan2<NonNaNFinite> for Positive<f64>

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impl Atan2<NonNaNFinite> for PositiveFinite<f64>

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impl Atan2<NonNaNFinite> for StrictlyNegative<f64>

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impl Atan2<NonNaNFinite> for StrictlyNegativeFinite<f64>

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impl Atan2<NonNaNFinite> for StrictlyPositive<f64>

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impl Atan2<NonNaNFinite> for StrictlyPositiveFinite<f64>

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impl Atan2<NonNaNFinite<f32>> for Negative<f32>

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impl Atan2<NonNaNFinite<f32>> for NegativeFinite<f32>

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impl Atan2<NonNaNFinite<f32>> for NonNaN<f32>

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impl Atan2<NonNaNFinite<f32>> for NonNaNFinite<f32>

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impl Atan2<NonNaNFinite<f32>> for NonZeroNonNaN<f32>

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impl Atan2<NonNaNFinite<f32>> for NonZeroNonNaNFinite<f32>

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impl Atan2<NonNaNFinite<f32>> for Positive<f32>

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impl Atan2<NonNaNFinite<f32>> for PositiveFinite<f32>

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impl Atan2<NonNaNFinite<f32>> for StrictlyNegative<f32>

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impl Atan2<NonNaNFinite<f32>> for StrictlyNegativeFinite<f32>

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impl Atan2<NonNaNFinite<f32>> for StrictlyPositive<f32>

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impl Atan2<NonNaNFinite<f32>> for StrictlyPositiveFinite<f32>

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impl Atan2<NonZeroNonNaN> for Negative<f64>

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impl Atan2<NonZeroNonNaN> for NegativeFinite<f64>

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impl Atan2<NonZeroNonNaN> for NonNaN<f64>

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impl Atan2<NonZeroNonNaN> for NonNaNFinite<f64>

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impl Atan2<NonZeroNonNaN> for NonZeroNonNaN<f64>

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impl Atan2<NonZeroNonNaN> for NonZeroNonNaNFinite<f64>

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impl Atan2<NonZeroNonNaN> for Positive<f64>

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impl Atan2<NonZeroNonNaN> for PositiveFinite<f64>

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impl Atan2<NonZeroNonNaN> for StrictlyNegative<f64>

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impl Atan2<NonZeroNonNaN> for StrictlyNegativeFinite<f64>

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impl Atan2<NonZeroNonNaN> for StrictlyPositive<f64>

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impl Atan2<NonZeroNonNaN> for StrictlyPositiveFinite<f64>

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impl Atan2<NonZeroNonNaN<f32>> for Negative<f32>

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impl Atan2<NonZeroNonNaN<f32>> for NegativeFinite<f32>

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impl Atan2<NonZeroNonNaN<f32>> for NonNaN<f32>

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impl Atan2<NonZeroNonNaN<f32>> for NonNaNFinite<f32>

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impl Atan2<NonZeroNonNaN<f32>> for NonZeroNonNaN<f32>

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impl Atan2<NonZeroNonNaN<f32>> for NonZeroNonNaNFinite<f32>

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impl Atan2<NonZeroNonNaN<f32>> for Positive<f32>

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impl Atan2<NonZeroNonNaN<f32>> for PositiveFinite<f32>

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impl Atan2<NonZeroNonNaN<f32>> for StrictlyNegative<f32>

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impl Atan2<NonZeroNonNaN<f32>> for StrictlyNegativeFinite<f32>

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impl Atan2<NonZeroNonNaN<f32>> for StrictlyPositive<f32>

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impl Atan2<NonZeroNonNaN<f32>> for StrictlyPositiveFinite<f32>

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impl Atan2<NonZeroNonNaNFinite> for Negative<f64>

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impl Atan2<NonZeroNonNaNFinite> for NegativeFinite<f64>

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impl Atan2<NonZeroNonNaNFinite> for NonNaN<f64>

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impl Atan2<NonZeroNonNaNFinite> for NonNaNFinite<f64>

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impl Atan2<NonZeroNonNaNFinite> for NonZeroNonNaN<f64>

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impl Atan2<NonZeroNonNaNFinite> for NonZeroNonNaNFinite<f64>

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impl Atan2<NonZeroNonNaNFinite> for Positive<f64>

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impl Atan2<NonZeroNonNaNFinite> for PositiveFinite<f64>

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impl Atan2<NonZeroNonNaNFinite> for StrictlyNegative<f64>

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impl Atan2<NonZeroNonNaNFinite> for StrictlyNegativeFinite<f64>

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impl Atan2<NonZeroNonNaNFinite> for StrictlyPositive<f64>

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impl Atan2<NonZeroNonNaNFinite> for StrictlyPositiveFinite<f64>

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impl Atan2<NonZeroNonNaNFinite<f32>> for Negative<f32>

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impl Atan2<NonZeroNonNaNFinite<f32>> for NegativeFinite<f32>

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impl Atan2<NonZeroNonNaNFinite<f32>> for NonNaN<f32>

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impl Atan2<NonZeroNonNaNFinite<f32>> for NonNaNFinite<f32>

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impl Atan2<NonZeroNonNaNFinite<f32>> for NonZeroNonNaN<f32>

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impl Atan2<NonZeroNonNaNFinite<f32>> for NonZeroNonNaNFinite<f32>

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impl Atan2<NonZeroNonNaNFinite<f32>> for Positive<f32>

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impl Atan2<NonZeroNonNaNFinite<f32>> for PositiveFinite<f32>

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impl Atan2<NonZeroNonNaNFinite<f32>> for StrictlyNegative<f32>

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impl Atan2<NonZeroNonNaNFinite<f32>> for StrictlyNegativeFinite<f32>

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impl Atan2<NonZeroNonNaNFinite<f32>> for StrictlyPositive<f32>

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impl Atan2<NonZeroNonNaNFinite<f32>> for StrictlyPositiveFinite<f32>

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impl Atan2<Positive> for Negative<f64>

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impl Atan2<Positive> for NegativeFinite<f64>

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impl Atan2<Positive> for NonNaN<f64>

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impl Atan2<Positive> for NonNaNFinite<f64>

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impl Atan2<Positive> for NonZeroNonNaN<f64>

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impl Atan2<Positive> for NonZeroNonNaNFinite<f64>

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impl Atan2<Positive> for Positive<f64>

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impl Atan2<Positive> for PositiveFinite<f64>

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impl Atan2<Positive> for StrictlyNegative<f64>

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impl Atan2<Positive> for StrictlyNegativeFinite<f64>

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impl Atan2<Positive> for StrictlyPositive<f64>

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impl Atan2<Positive> for StrictlyPositiveFinite<f64>

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impl Atan2<Positive<f32>> for Negative<f32>

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impl Atan2<Positive<f32>> for NegativeFinite<f32>

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impl Atan2<Positive<f32>> for NonNaN<f32>

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impl Atan2<Positive<f32>> for NonNaNFinite<f32>

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impl Atan2<Positive<f32>> for NonZeroNonNaN<f32>

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impl Atan2<Positive<f32>> for NonZeroNonNaNFinite<f32>

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impl Atan2<Positive<f32>> for Positive<f32>

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impl Atan2<Positive<f32>> for PositiveFinite<f32>

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impl Atan2<Positive<f32>> for StrictlyNegative<f32>

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impl Atan2<Positive<f32>> for StrictlyNegativeFinite<f32>

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impl Atan2<Positive<f32>> for StrictlyPositive<f32>

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impl Atan2<Positive<f32>> for StrictlyPositiveFinite<f32>

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impl Atan2<PositiveFinite> for Negative<f64>

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impl Atan2<PositiveFinite> for NegativeFinite<f64>

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impl Atan2<PositiveFinite> for NonNaN<f64>

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impl Atan2<PositiveFinite> for NonNaNFinite<f64>

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impl Atan2<PositiveFinite> for NonZeroNonNaN<f64>

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impl Atan2<PositiveFinite> for NonZeroNonNaNFinite<f64>

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impl Atan2<PositiveFinite> for Positive<f64>

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impl Atan2<PositiveFinite> for PositiveFinite<f64>

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impl Atan2<PositiveFinite> for StrictlyNegative<f64>

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impl Atan2<PositiveFinite> for StrictlyNegativeFinite<f64>

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impl Atan2<PositiveFinite> for StrictlyPositive<f64>

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impl Atan2<PositiveFinite> for StrictlyPositiveFinite<f64>

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impl Atan2<PositiveFinite<f32>> for Negative<f32>

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impl Atan2<PositiveFinite<f32>> for NegativeFinite<f32>

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impl Atan2<PositiveFinite<f32>> for NonNaN<f32>

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impl Atan2<PositiveFinite<f32>> for NonNaNFinite<f32>

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impl Atan2<PositiveFinite<f32>> for NonZeroNonNaN<f32>

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impl Atan2<PositiveFinite<f32>> for NonZeroNonNaNFinite<f32>

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impl Atan2<PositiveFinite<f32>> for Positive<f32>

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impl Atan2<PositiveFinite<f32>> for PositiveFinite<f32>

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impl Atan2<PositiveFinite<f32>> for StrictlyNegative<f32>

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impl Atan2<PositiveFinite<f32>> for StrictlyNegativeFinite<f32>

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impl Atan2<PositiveFinite<f32>> for StrictlyPositive<f32>

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impl Atan2<PositiveFinite<f32>> for StrictlyPositiveFinite<f32>

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impl Atan2<StrictlyNegative> for Negative<f64>

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impl Atan2<StrictlyNegative> for NegativeFinite<f64>

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impl Atan2<StrictlyNegative> for NonNaN<f64>

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impl Atan2<StrictlyNegative> for NonNaNFinite<f64>

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impl Atan2<StrictlyNegative> for NonZeroNonNaN<f64>

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impl Atan2<StrictlyNegative> for NonZeroNonNaNFinite<f64>

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impl Atan2<StrictlyNegative> for Positive<f64>

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impl Atan2<StrictlyNegative> for PositiveFinite<f64>

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impl Atan2<StrictlyNegative> for StrictlyNegative<f64>

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impl Atan2<StrictlyNegative> for StrictlyNegativeFinite<f64>

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impl Atan2<StrictlyNegative> for StrictlyPositive<f64>

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impl Atan2<StrictlyNegative> for StrictlyPositiveFinite<f64>

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impl Atan2<StrictlyNegative<f32>> for Negative<f32>

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impl Atan2<StrictlyNegative<f32>> for NegativeFinite<f32>

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impl Atan2<StrictlyNegative<f32>> for NonNaN<f32>

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impl Atan2<StrictlyNegative<f32>> for NonNaNFinite<f32>

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impl Atan2<StrictlyNegative<f32>> for NonZeroNonNaN<f32>

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impl Atan2<StrictlyNegative<f32>> for NonZeroNonNaNFinite<f32>

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impl Atan2<StrictlyNegative<f32>> for Positive<f32>

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impl Atan2<StrictlyNegative<f32>> for PositiveFinite<f32>

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impl Atan2<StrictlyNegative<f32>> for StrictlyNegative<f32>

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impl Atan2<StrictlyNegative<f32>> for StrictlyNegativeFinite<f32>

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impl Atan2<StrictlyNegative<f32>> for StrictlyPositive<f32>

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impl Atan2<StrictlyNegative<f32>> for StrictlyPositiveFinite<f32>

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impl Atan2<StrictlyNegativeFinite> for Negative<f64>

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impl Atan2<StrictlyNegativeFinite> for NegativeFinite<f64>

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impl Atan2<StrictlyNegativeFinite> for NonNaN<f64>

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impl Atan2<StrictlyNegativeFinite> for NonNaNFinite<f64>

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impl Atan2<StrictlyNegativeFinite> for NonZeroNonNaN<f64>

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impl Atan2<StrictlyNegativeFinite> for NonZeroNonNaNFinite<f64>

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impl Atan2<StrictlyNegativeFinite> for Positive<f64>

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impl Atan2<StrictlyNegativeFinite> for PositiveFinite<f64>

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impl Atan2<StrictlyNegativeFinite> for StrictlyNegative<f64>

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impl Atan2<StrictlyNegativeFinite> for StrictlyNegativeFinite<f64>

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impl Atan2<StrictlyNegativeFinite> for StrictlyPositive<f64>

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impl Atan2<StrictlyNegativeFinite> for StrictlyPositiveFinite<f64>

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impl Atan2<StrictlyNegativeFinite<f32>> for Negative<f32>

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impl Atan2<StrictlyNegativeFinite<f32>> for NegativeFinite<f32>

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impl Atan2<StrictlyNegativeFinite<f32>> for NonNaN<f32>

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impl Atan2<StrictlyNegativeFinite<f32>> for NonNaNFinite<f32>

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impl Atan2<StrictlyNegativeFinite<f32>> for NonZeroNonNaN<f32>

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impl Atan2<StrictlyNegativeFinite<f32>> for NonZeroNonNaNFinite<f32>

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impl Atan2<StrictlyNegativeFinite<f32>> for Positive<f32>

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impl Atan2<StrictlyNegativeFinite<f32>> for PositiveFinite<f32>

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impl Atan2<StrictlyNegativeFinite<f32>> for StrictlyNegative<f32>

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impl Atan2<StrictlyNegativeFinite<f32>> for StrictlyNegativeFinite<f32>

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impl Atan2<StrictlyNegativeFinite<f32>> for StrictlyPositive<f32>

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impl Atan2<StrictlyNegativeFinite<f32>> for StrictlyPositiveFinite<f32>

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impl Atan2<StrictlyPositive> for Negative<f64>

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impl Atan2<StrictlyPositive> for NegativeFinite<f64>

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impl Atan2<StrictlyPositive> for NonNaN<f64>

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impl Atan2<StrictlyPositive> for NonNaNFinite<f64>

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impl Atan2<StrictlyPositive> for NonZeroNonNaN<f64>

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impl Atan2<StrictlyPositive> for NonZeroNonNaNFinite<f64>

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impl Atan2<StrictlyPositive> for Positive<f64>

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impl Atan2<StrictlyPositive> for PositiveFinite<f64>

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impl Atan2<StrictlyPositive> for StrictlyNegative<f64>

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impl Atan2<StrictlyPositive> for StrictlyNegativeFinite<f64>

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impl Atan2<StrictlyPositive> for StrictlyPositive<f64>

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impl Atan2<StrictlyPositive> for StrictlyPositiveFinite<f64>

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impl Atan2<StrictlyPositive<f32>> for Negative<f32>

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impl Atan2<StrictlyPositive<f32>> for NegativeFinite<f32>

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impl Atan2<StrictlyPositive<f32>> for NonNaN<f32>

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impl Atan2<StrictlyPositive<f32>> for NonNaNFinite<f32>

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impl Atan2<StrictlyPositive<f32>> for NonZeroNonNaN<f32>

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impl Atan2<StrictlyPositive<f32>> for NonZeroNonNaNFinite<f32>

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impl Atan2<StrictlyPositive<f32>> for Positive<f32>

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impl Atan2<StrictlyPositive<f32>> for PositiveFinite<f32>

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impl Atan2<StrictlyPositive<f32>> for StrictlyNegative<f32>

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impl Atan2<StrictlyPositive<f32>> for StrictlyNegativeFinite<f32>

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impl Atan2<StrictlyPositive<f32>> for StrictlyPositive<f32>

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impl Atan2<StrictlyPositive<f32>> for StrictlyPositiveFinite<f32>

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impl Atan2<StrictlyPositiveFinite> for Negative<f64>

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impl Atan2<StrictlyPositiveFinite> for NegativeFinite<f64>

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impl Atan2<StrictlyPositiveFinite> for NonNaN<f64>

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impl Atan2<StrictlyPositiveFinite> for NonNaNFinite<f64>

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impl Atan2<StrictlyPositiveFinite> for NonZeroNonNaN<f64>

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impl Atan2<StrictlyPositiveFinite> for NonZeroNonNaNFinite<f64>

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impl Atan2<StrictlyPositiveFinite> for Positive<f64>

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impl Atan2<StrictlyPositiveFinite> for PositiveFinite<f64>

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impl Atan2<StrictlyPositiveFinite> for StrictlyNegative<f64>

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impl Atan2<StrictlyPositiveFinite> for StrictlyNegativeFinite<f64>

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impl Atan2<StrictlyPositiveFinite> for StrictlyPositive<f64>

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impl Atan2<StrictlyPositiveFinite> for StrictlyPositiveFinite<f64>

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impl Atan2<StrictlyPositiveFinite<f32>> for Negative<f32>

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impl Atan2<StrictlyPositiveFinite<f32>> for NegativeFinite<f32>

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impl Atan2<StrictlyPositiveFinite<f32>> for NonNaN<f32>

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impl Atan2<StrictlyPositiveFinite<f32>> for NonNaNFinite<f32>

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impl Atan2<StrictlyPositiveFinite<f32>> for NonZeroNonNaN<f32>

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impl Atan2<StrictlyPositiveFinite<f32>> for NonZeroNonNaNFinite<f32>

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impl Atan2<StrictlyPositiveFinite<f32>> for Positive<f32>

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impl Atan2<StrictlyPositiveFinite<f32>> for PositiveFinite<f32>

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impl Atan2<StrictlyPositiveFinite<f32>> for StrictlyNegative<f32>

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impl Atan2<StrictlyPositiveFinite<f32>> for StrictlyNegativeFinite<f32>

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impl Atan2<StrictlyPositiveFinite<f32>> for StrictlyPositive<f32>

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impl Atan2<StrictlyPositiveFinite<f32>> for StrictlyPositiveFinite<f32>