master
1const std = @import("../../std.zig");
2const testing = std.testing;
3const math = std.math;
4const cmath = math.complex;
5const Complex = cmath.Complex;
6
7/// Returns the hyperbolic arc-cosine of z.
8pub fn acosh(z: anytype) Complex(@TypeOf(z.re, z.im)) {
9 const T = @TypeOf(z.re, z.im);
10 const q = cmath.acos(z);
11
12 return if (math.signbit(z.im))
13 Complex(T).init(q.im, -q.re)
14 else
15 Complex(T).init(-q.im, q.re);
16}
17
18test acosh {
19 const epsilon = math.floatEps(f32);
20 const a = Complex(f32).init(5, 3);
21 const c = acosh(a);
22
23 try testing.expectApproxEqAbs(2.4529128, c.re, epsilon);
24 try testing.expectApproxEqAbs(0.5469737, c.im, epsilon);
25}