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Diffstat (limited to 'vendor/libm/src/math/acosh.rs')
-rw-r--r-- | vendor/libm/src/math/acosh.rs | 26 |
1 files changed, 26 insertions, 0 deletions
diff --git a/vendor/libm/src/math/acosh.rs b/vendor/libm/src/math/acosh.rs new file mode 100644 index 000000000..ac7a5f1c6 --- /dev/null +++ b/vendor/libm/src/math/acosh.rs @@ -0,0 +1,26 @@ +use super::{log, log1p, sqrt}; + +const LN2: f64 = 0.693147180559945309417232121458176568; /* 0x3fe62e42, 0xfefa39ef*/ + +/// Inverse hyperbolic cosine (f64) +/// +/// Calculates the inverse hyperbolic cosine of `x`. +/// Is defined as `log(x + sqrt(x*x-1))`. +/// `x` must be a number greater than or equal to 1. +pub fn acosh(x: f64) -> f64 { + let u = x.to_bits(); + let e = ((u >> 52) as usize) & 0x7ff; + + /* x < 1 domain error is handled in the called functions */ + + if e < 0x3ff + 1 { + /* |x| < 2, up to 2ulp error in [1,1.125] */ + return log1p(x - 1.0 + sqrt((x - 1.0) * (x - 1.0) + 2.0 * (x - 1.0))); + } + if e < 0x3ff + 26 { + /* |x| < 0x1p26 */ + return log(2.0 * x - 1.0 / (x + sqrt(x * x - 1.0))); + } + /* |x| >= 0x1p26 or nan */ + return log(x) + LN2; +} |