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-rw-r--r--vendor/libm/src/math/asinh.rs39
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
+ }
+}