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Diffstat (limited to 'vendor/libm/src/math/asinh.rs')
-rw-r--r-- | vendor/libm/src/math/asinh.rs | 39 |
1 files changed, 39 insertions, 0 deletions
diff --git a/vendor/libm/src/math/asinh.rs b/vendor/libm/src/math/asinh.rs new file mode 100644 index 000000000..14295357a --- /dev/null +++ b/vendor/libm/src/math/asinh.rs @@ -0,0 +1,39 @@ +use super::{log, log1p, sqrt}; + +const LN2: f64 = 0.693147180559945309417232121458176568; /* 0x3fe62e42, 0xfefa39ef*/ + +/* asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5) */ +/// Inverse hyperbolic sine (f64) +/// +/// Calculates the inverse hyperbolic sine of `x`. +/// Is defined as `sgn(x)*log(|x|+sqrt(x*x+1))`. +pub fn asinh(mut x: f64) -> f64 { + let mut u = x.to_bits(); + let e = ((u >> 52) as usize) & 0x7ff; + let sign = (u >> 63) != 0; + + /* |x| */ + u &= (!0) >> 1; + x = f64::from_bits(u); + + if e >= 0x3ff + 26 { + /* |x| >= 0x1p26 or inf or nan */ + x = log(x) + LN2; + } else if e >= 0x3ff + 1 { + /* |x| >= 2 */ + x = log(2.0 * x + 1.0 / (sqrt(x * x + 1.0) + x)); + } else if e >= 0x3ff - 26 { + /* |x| >= 0x1p-26, up to 1.6ulp error in [0.125,0.5] */ + x = log1p(x + x * x / (sqrt(x * x + 1.0) + 1.0)); + } else { + /* |x| < 0x1p-26, raise inexact if x != 0 */ + let x1p120 = f64::from_bits(0x4770000000000000); + force_eval!(x + x1p120); + } + + if sign { + -x + } else { + x + } +} |