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122 changes: 116 additions & 6 deletions libm/src/math/fmin_fmax.rs
Original file line number Diff line number Diff line change
Expand Up @@ -82,22 +82,77 @@ mod tests {
fn fmin_spec_test<F: Float>(f: impl Fn(F, F) -> F) {
let cases = [
(F::ZERO, F::ZERO, F::ZERO),
(F::ONE, F::ONE, F::ONE),
(F::ZERO, F::ONE, F::ZERO),
(F::ONE, F::ZERO, F::ZERO),
(F::ZERO, F::NEG_ONE, F::NEG_ONE),
(F::ZERO, F::INFINITY, F::ZERO),
(F::ZERO, F::NEG_INFINITY, F::NEG_INFINITY),
(F::ZERO, F::NAN, F::ZERO),
(F::ZERO, F::NEG_NAN, F::ZERO),
(F::NEG_ZERO, F::NEG_ZERO, F::NEG_ZERO),
(F::NEG_ZERO, F::ONE, F::NEG_ZERO),
(F::NEG_ZERO, F::NEG_ONE, F::NEG_ONE),
(F::NEG_ZERO, F::INFINITY, F::NEG_ZERO),
(F::NEG_ZERO, F::NEG_INFINITY, F::NEG_INFINITY),
(F::NEG_ZERO, F::NAN, F::NEG_ZERO),
(F::NEG_ZERO, F::NEG_NAN, F::NEG_ZERO),
(F::ONE, F::ZERO, F::ZERO),
(F::ONE, F::NEG_ZERO, F::NEG_ZERO),
(F::ONE, F::ONE, F::ONE),
(F::ONE, F::NEG_ONE, F::NEG_ONE),
(F::ONE, F::INFINITY, F::ONE),
(F::ONE, F::NEG_INFINITY, F::NEG_INFINITY),
(F::ONE, F::NAN, F::ONE),
(F::ONE, F::NEG_NAN, F::ONE),
(F::NEG_ONE, F::ZERO, F::NEG_ONE),
(F::NEG_ONE, F::NEG_ZERO, F::NEG_ONE),
(F::NEG_ONE, F::ONE, F::NEG_ONE),
(F::NEG_ONE, F::NEG_ONE, F::NEG_ONE),
(F::NEG_ONE, F::INFINITY, F::NEG_ONE),
(F::NEG_ONE, F::NEG_INFINITY, F::NEG_INFINITY),
(F::NEG_ONE, F::NAN, F::NEG_ONE),
(F::NEG_ONE, F::NEG_NAN, F::NEG_ONE),
(F::INFINITY, F::ZERO, F::ZERO),
(F::INFINITY, F::NEG_ZERO, F::NEG_ZERO),
(F::INFINITY, F::ONE, F::ONE),
(F::INFINITY, F::NEG_ONE, F::NEG_ONE),
(F::INFINITY, F::INFINITY, F::INFINITY),
(F::INFINITY, F::NEG_INFINITY, F::NEG_INFINITY),
(F::INFINITY, F::NAN, F::INFINITY),
(F::INFINITY, F::NEG_NAN, F::INFINITY),
(F::NEG_INFINITY, F::ZERO, F::NEG_INFINITY),
(F::NEG_INFINITY, F::NEG_ZERO, F::NEG_INFINITY),
(F::NEG_INFINITY, F::ONE, F::NEG_INFINITY),
(F::NEG_INFINITY, F::NEG_ONE, F::NEG_INFINITY),
(F::NEG_INFINITY, F::INFINITY, F::NEG_INFINITY),
(F::NEG_INFINITY, F::NEG_INFINITY, F::NEG_INFINITY),
(F::NEG_INFINITY, F::NAN, F::NEG_INFINITY),
(F::NEG_INFINITY, F::NEG_NAN, F::NEG_INFINITY),
(F::NAN, F::ZERO, F::ZERO),
(F::ZERO, F::NAN, F::ZERO),
(F::NAN, F::NEG_ZERO, F::NEG_ZERO),
(F::NAN, F::ONE, F::ONE),
(F::NAN, F::NEG_ONE, F::NEG_ONE),
(F::NAN, F::INFINITY, F::INFINITY),
(F::NAN, F::NEG_INFINITY, F::NEG_INFINITY),
(F::NAN, F::NAN, F::NAN),
(F::NEG_NAN, F::ZERO, F::ZERO),
(F::NEG_NAN, F::NEG_ZERO, F::NEG_ZERO),
(F::NEG_NAN, F::ONE, F::ONE),
(F::NEG_NAN, F::NEG_ONE, F::NEG_ONE),
(F::NEG_NAN, F::INFINITY, F::INFINITY),
(F::NEG_NAN, F::NEG_INFINITY, F::NEG_INFINITY),
];

for (x, y, res) in cases {
let val = f(x, y);
assert_biteq!(val, res, "fmin({}, {})", Hexf(x), Hexf(y));
}

// Ordering between zeros and NaNs does not matter
assert_eq!(f(F::ZERO, F::NEG_ZERO), F::ZERO);
assert_eq!(f(F::NEG_ZERO, F::ZERO), F::ZERO);
assert!(f(F::NAN, F::NEG_NAN).is_nan());
assert!(f(F::NEG_NAN, F::NAN).is_nan());
assert!(f(F::NEG_NAN, F::NEG_NAN).is_nan());
}

#[test]
Expand Down Expand Up @@ -125,22 +180,77 @@ mod tests {
fn fmax_spec_test<F: Float>(f: impl Fn(F, F) -> F) {
let cases = [
(F::ZERO, F::ZERO, F::ZERO),
(F::ONE, F::ONE, F::ONE),
(F::ZERO, F::ONE, F::ONE),
(F::ONE, F::ZERO, F::ONE),
(F::ZERO, F::NEG_ONE, F::ZERO),
(F::ZERO, F::INFINITY, F::INFINITY),
(F::ZERO, F::NEG_INFINITY, F::ZERO),
(F::ZERO, F::NAN, F::ZERO),
(F::ZERO, F::NEG_NAN, F::ZERO),
(F::NEG_ZERO, F::NEG_ZERO, F::NEG_ZERO),
(F::NEG_ZERO, F::ONE, F::ONE),
(F::NEG_ZERO, F::NEG_ONE, F::NEG_ZERO),
(F::NEG_ZERO, F::INFINITY, F::INFINITY),
(F::NEG_ZERO, F::NEG_INFINITY, F::NEG_ZERO),
(F::NEG_ZERO, F::NAN, F::NEG_ZERO),
(F::NEG_ZERO, F::NEG_NAN, F::NEG_ZERO),
(F::ONE, F::ZERO, F::ONE),
(F::ONE, F::NEG_ZERO, F::ONE),
(F::ONE, F::ONE, F::ONE),
(F::ONE, F::NEG_ONE, F::ONE),
(F::ONE, F::INFINITY, F::INFINITY),
(F::ONE, F::NEG_INFINITY, F::ONE),
(F::ONE, F::NAN, F::ONE),
(F::ONE, F::NEG_NAN, F::ONE),
(F::NEG_ONE, F::ZERO, F::ZERO),
(F::NEG_ONE, F::NEG_ZERO, F::NEG_ZERO),
(F::NEG_ONE, F::ONE, F::ONE),
(F::NEG_ONE, F::NEG_ONE, F::NEG_ONE),
(F::NEG_ONE, F::INFINITY, F::INFINITY),
(F::NEG_ONE, F::NEG_INFINITY, F::NEG_ONE),
(F::NEG_ONE, F::NAN, F::NEG_ONE),
(F::NEG_ONE, F::NEG_NAN, F::NEG_ONE),
(F::INFINITY, F::ZERO, F::INFINITY),
(F::INFINITY, F::NEG_ZERO, F::INFINITY),
(F::INFINITY, F::ONE, F::INFINITY),
(F::INFINITY, F::NEG_ONE, F::INFINITY),
(F::INFINITY, F::INFINITY, F::INFINITY),
(F::INFINITY, F::NEG_INFINITY, F::INFINITY),
(F::INFINITY, F::NAN, F::INFINITY),
(F::INFINITY, F::NEG_NAN, F::INFINITY),
(F::NEG_INFINITY, F::ZERO, F::ZERO),
(F::NEG_INFINITY, F::NEG_ZERO, F::NEG_ZERO),
(F::NEG_INFINITY, F::ONE, F::ONE),
(F::NEG_INFINITY, F::NEG_ONE, F::NEG_ONE),
(F::NEG_INFINITY, F::INFINITY, F::INFINITY),
(F::NEG_INFINITY, F::NEG_INFINITY, F::NEG_INFINITY),
(F::NEG_INFINITY, F::NAN, F::NEG_INFINITY),
(F::NEG_INFINITY, F::NEG_NAN, F::NEG_INFINITY),
(F::NAN, F::ZERO, F::ZERO),
(F::ZERO, F::NAN, F::ZERO),
(F::NAN, F::NEG_ZERO, F::NEG_ZERO),
(F::NAN, F::ONE, F::ONE),
(F::NAN, F::NEG_ONE, F::NEG_ONE),
(F::NAN, F::INFINITY, F::INFINITY),
(F::NAN, F::NEG_INFINITY, F::NEG_INFINITY),
(F::NAN, F::NAN, F::NAN),
(F::NEG_NAN, F::ZERO, F::ZERO),
(F::NEG_NAN, F::NEG_ZERO, F::NEG_ZERO),
(F::NEG_NAN, F::ONE, F::ONE),
(F::NEG_NAN, F::NEG_ONE, F::NEG_ONE),
(F::NEG_NAN, F::INFINITY, F::INFINITY),
(F::NEG_NAN, F::NEG_INFINITY, F::NEG_INFINITY),
];

for (x, y, res) in cases {
let val = f(x, y);
assert_biteq!(val, res, "fmax({}, {})", Hexf(x), Hexf(y));
}

// Ordering between zeros and NaNs does not matter
assert_eq!(f(F::ZERO, F::NEG_ZERO), F::ZERO);
assert_eq!(f(F::NEG_ZERO, F::ZERO), F::ZERO);
assert!(f(F::NAN, F::NEG_NAN).is_nan());
assert!(f(F::NEG_NAN, F::NAN).is_nan());
assert!(f(F::NEG_NAN, F::NEG_NAN).is_nan());
}

#[test]
Expand Down
126 changes: 116 additions & 10 deletions libm/src/math/fminimum_fmaximum.rs
Original file line number Diff line number Diff line change
Expand Up @@ -74,24 +74,77 @@ mod tests {
fn fminimum_spec_test<F: Float>(f: impl Fn(F, F) -> F) {
let cases = [
(F::ZERO, F::ZERO, F::ZERO),
(F::ONE, F::ONE, F::ONE),
(F::ZERO, F::NEG_ZERO, F::NEG_ZERO),
(F::ZERO, F::ONE, F::ZERO),
(F::ONE, F::ZERO, F::ZERO),
(F::ZERO, F::NEG_ONE, F::NEG_ONE),
(F::ZERO, F::INFINITY, F::ZERO),
(F::ZERO, F::NEG_INFINITY, F::NEG_INFINITY),
(F::ZERO, F::NAN, F::NAN),
(F::NEG_ZERO, F::ZERO, F::NEG_ZERO),
(F::NEG_ZERO, F::NEG_ZERO, F::NEG_ZERO),
(F::NEG_ZERO, F::ONE, F::NEG_ZERO),
(F::NEG_ZERO, F::NEG_ONE, F::NEG_ONE),
(F::NEG_ZERO, F::INFINITY, F::NEG_ZERO),
(F::NEG_ZERO, F::NEG_INFINITY, F::NEG_INFINITY),
(F::NEG_ZERO, F::NAN, F::NAN),
(F::ONE, F::ZERO, F::ZERO),
(F::ONE, F::NEG_ZERO, F::NEG_ZERO),
(F::ONE, F::ONE, F::ONE),
(F::ONE, F::NEG_ONE, F::NEG_ONE),
(F::ONE, F::INFINITY, F::ONE),
(F::ONE, F::NEG_INFINITY, F::NEG_INFINITY),
(F::ONE, F::NAN, F::NAN),
(F::NEG_ONE, F::ZERO, F::NEG_ONE),
(F::NEG_ONE, F::NEG_ZERO, F::NEG_ONE),
(F::NEG_ONE, F::ONE, F::NEG_ONE),
(F::NEG_ONE, F::NEG_ONE, F::NEG_ONE),
(F::NEG_ONE, F::INFINITY, F::NEG_ONE),
(F::NEG_ONE, F::NEG_INFINITY, F::NEG_INFINITY),
(F::NEG_ONE, F::NAN, F::NAN),
(F::INFINITY, F::ZERO, F::ZERO),
(F::INFINITY, F::NEG_ZERO, F::NEG_ZERO),
(F::INFINITY, F::ONE, F::ONE),
(F::INFINITY, F::NEG_ONE, F::NEG_ONE),
(F::INFINITY, F::INFINITY, F::INFINITY),
(F::INFINITY, F::NEG_INFINITY, F::NEG_INFINITY),
(F::INFINITY, F::NAN, F::NAN),
(F::NEG_INFINITY, F::ZERO, F::NEG_INFINITY),
(F::NEG_INFINITY, F::NEG_ZERO, F::NEG_INFINITY),
(F::NEG_INFINITY, F::ONE, F::NEG_INFINITY),
(F::NEG_INFINITY, F::NEG_ONE, F::NEG_INFINITY),
(F::NEG_INFINITY, F::INFINITY, F::NEG_INFINITY),
(F::NEG_INFINITY, F::NEG_INFINITY, F::NEG_INFINITY),
(F::NEG_INFINITY, F::NAN, F::NAN),
(F::NAN, F::ZERO, F::NAN),
(F::ZERO, F::NAN, F::NAN),
(F::NAN, F::NEG_ZERO, F::NAN),
(F::NAN, F::ONE, F::NAN),
(F::NAN, F::NEG_ONE, F::NAN),
(F::NAN, F::INFINITY, F::NAN),
(F::NAN, F::NEG_INFINITY, F::NAN),
(F::NAN, F::NAN, F::NAN),
(F::ZERO, F::NEG_ZERO, F::NEG_ZERO),
(F::NEG_ZERO, F::ZERO, F::NEG_ZERO),
];

for (x, y, res) in cases {
let val = f(x, y);
assert_biteq!(val, res, "fminimum({}, {})", Hexf(x), Hexf(y));
}

// Ordering between NaNs does not matter
assert!(f(F::NAN, F::NEG_NAN).is_nan());
assert!(f(F::NEG_NAN, F::NAN).is_nan());
assert!(f(F::ZERO, F::NEG_NAN).is_nan());
assert!(f(F::NEG_ZERO, F::NEG_NAN).is_nan());
assert!(f(F::ONE, F::NEG_NAN).is_nan());
assert!(f(F::NEG_ONE, F::NEG_NAN).is_nan());
assert!(f(F::INFINITY, F::NEG_NAN).is_nan());
assert!(f(F::NEG_INFINITY, F::NEG_NAN).is_nan());
assert!(f(F::NEG_NAN, F::ZERO).is_nan());
assert!(f(F::NEG_NAN, F::NEG_ZERO).is_nan());
assert!(f(F::NEG_NAN, F::ONE).is_nan());
assert!(f(F::NEG_NAN, F::NEG_ONE).is_nan());
assert!(f(F::NEG_NAN, F::INFINITY).is_nan());
assert!(f(F::NEG_NAN, F::NEG_INFINITY).is_nan());
assert!(f(F::NEG_NAN, F::NEG_NAN).is_nan());
}

#[test]
Expand Down Expand Up @@ -119,24 +172,77 @@ mod tests {
fn fmaximum_spec_test<F: Float>(f: impl Fn(F, F) -> F) {
let cases = [
(F::ZERO, F::ZERO, F::ZERO),
(F::ONE, F::ONE, F::ONE),
(F::ZERO, F::NEG_ZERO, F::ZERO),
(F::ZERO, F::ONE, F::ONE),
(F::ONE, F::ZERO, F::ONE),
(F::ZERO, F::NEG_ONE, F::ZERO),
(F::ZERO, F::INFINITY, F::INFINITY),
(F::ZERO, F::NEG_INFINITY, F::ZERO),
(F::ZERO, F::NAN, F::NAN),
(F::NEG_ZERO, F::ZERO, F::ZERO),
(F::NEG_ZERO, F::NEG_ZERO, F::NEG_ZERO),
(F::NEG_ZERO, F::ONE, F::ONE),
(F::NEG_ZERO, F::NEG_ONE, F::NEG_ZERO),
(F::NEG_ZERO, F::INFINITY, F::INFINITY),
(F::NEG_ZERO, F::NEG_INFINITY, F::NEG_ZERO),
(F::NEG_ZERO, F::NAN, F::NAN),
(F::ONE, F::ZERO, F::ONE),
(F::ONE, F::NEG_ZERO, F::ONE),
(F::ONE, F::ONE, F::ONE),
(F::ONE, F::NEG_ONE, F::ONE),
(F::ONE, F::INFINITY, F::INFINITY),
(F::ONE, F::NEG_INFINITY, F::ONE),
(F::ONE, F::NAN, F::NAN),
(F::NEG_ONE, F::ZERO, F::ZERO),
(F::NEG_ONE, F::NEG_ZERO, F::NEG_ZERO),
(F::NEG_ONE, F::ONE, F::ONE),
(F::NEG_ONE, F::NEG_ONE, F::NEG_ONE),
(F::NEG_ONE, F::INFINITY, F::INFINITY),
(F::NEG_ONE, F::NEG_INFINITY, F::NEG_ONE),
(F::NEG_ONE, F::NAN, F::NAN),
(F::INFINITY, F::ZERO, F::INFINITY),
(F::INFINITY, F::NEG_ZERO, F::INFINITY),
(F::INFINITY, F::ONE, F::INFINITY),
(F::INFINITY, F::NEG_ONE, F::INFINITY),
(F::INFINITY, F::INFINITY, F::INFINITY),
(F::INFINITY, F::NEG_INFINITY, F::INFINITY),
(F::INFINITY, F::NAN, F::NAN),
(F::NEG_INFINITY, F::ZERO, F::ZERO),
(F::NEG_INFINITY, F::NEG_ZERO, F::NEG_ZERO),
(F::NEG_INFINITY, F::ONE, F::ONE),
(F::NEG_INFINITY, F::NEG_ONE, F::NEG_ONE),
(F::NEG_INFINITY, F::INFINITY, F::INFINITY),
(F::NEG_INFINITY, F::NEG_INFINITY, F::NEG_INFINITY),
(F::NEG_INFINITY, F::NAN, F::NAN),
(F::NAN, F::ZERO, F::NAN),
(F::ZERO, F::NAN, F::NAN),
(F::NAN, F::NEG_ZERO, F::NAN),
(F::NAN, F::ONE, F::NAN),
(F::NAN, F::NEG_ONE, F::NAN),
(F::NAN, F::INFINITY, F::NAN),
(F::NAN, F::NEG_INFINITY, F::NAN),
(F::NAN, F::NAN, F::NAN),
(F::ZERO, F::NEG_ZERO, F::ZERO),
(F::NEG_ZERO, F::ZERO, F::ZERO),
];

for (x, y, res) in cases {
let val = f(x, y);
assert_biteq!(val, res, "fmaximum({}, {})", Hexf(x), Hexf(y));
}

// Ordering between NaNs does not matter
assert!(f(F::NAN, F::NEG_NAN).is_nan());
assert!(f(F::NEG_NAN, F::NAN).is_nan());
assert!(f(F::ZERO, F::NEG_NAN).is_nan());
assert!(f(F::NEG_ZERO, F::NEG_NAN).is_nan());
assert!(f(F::ONE, F::NEG_NAN).is_nan());
assert!(f(F::NEG_ONE, F::NEG_NAN).is_nan());
assert!(f(F::INFINITY, F::NEG_NAN).is_nan());
assert!(f(F::NEG_INFINITY, F::NEG_NAN).is_nan());
assert!(f(F::NEG_NAN, F::ZERO).is_nan());
assert!(f(F::NEG_NAN, F::NEG_ZERO).is_nan());
assert!(f(F::NEG_NAN, F::ONE).is_nan());
assert!(f(F::NEG_NAN, F::NEG_ONE).is_nan());
assert!(f(F::NEG_NAN, F::INFINITY).is_nan());
assert!(f(F::NEG_NAN, F::NEG_INFINITY).is_nan());
assert!(f(F::NEG_NAN, F::NEG_NAN).is_nan());
}

#[test]
Expand Down
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