    // Ported from musl, which is licensed under the MIT license:

    // https://git.musl-libc.org/cgit/musl/tree/COPYRIGHT

    //

    // https://git.musl-libc.org/cgit/musl/tree/src/complex/ccoshf.c

    // https://git.musl-libc.org/cgit/musl/tree/src/complex/ccosh.c

    const std = @import("../../std.zig");
    const testing = std.testing;
    const math = std.math;
    const cmath = math.complex;
    const Complex = cmath.Complex;

    const ldexp_cexp = @import("ldexp.zig").ldexp_cexp;

    /// Returns the hyperbolic arc-cosine of z.
    pub fn cosh(z: anytype) Complex(@TypeOf(z.re)) {
        const T = @TypeOf(z.re);
        return switch (T) {
            f32 => cosh32(z),
            f64 => cosh64(z),
            else => @compileError("cosh not implemented for " ++ @typeName(z)),
        };
    }

    fn cosh32(z: Complex(f32)) Complex(f32) {
        const x = z.re;
        const y = z.im;

        const hx = @bitCast(u32, x);
        const ix = hx & 0x7fffffff;

        const hy = @bitCast(u32, y);
        const iy = hy & 0x7fffffff;

        if (ix < 0x7f800000 and iy < 0x7f800000) {
            if (iy == 0) {
                return Complex(f32).init(math.cosh(x), y);
            }
            // small x: normal case

            if (ix < 0x41100000) {
                return Complex(f32).init(math.cosh(x) * @cos(y), math.sinh(x) * @sin(y));
            }

            // |x|>= 9, so cosh(x) ~= exp(|x|)

            if (ix < 0x42b17218) {
                // x < 88.7: exp(|x|) won't overflow

                const h = @exp(@fabs(x)) * 0.5;
                return Complex(f32).init(math.copysign(h, x) * @cos(y), h * @sin(y));
            }
            // x < 192.7: scale to avoid overflow

            else if (ix < 0x4340b1e7) {
                const v = Complex(f32).init(@fabs(x), y);
                const r = ldexp_cexp(v, -1);
                return Complex(f32).init(r.re, r.im * math.copysign(@as(f32, 1.0), x));
            }
            // x >= 192.7: result always overflows

            else {
                const h = 0x1p127 * x;
                return Complex(f32).init(h * h * @cos(y), h * @sin(y));
            }
        }

        if (ix == 0 and iy >= 0x7f800000) {
            return Complex(f32).init(y - y, math.copysign(@as(f32, 0.0), x * (y - y)));
        }

        if (iy == 0 and ix >= 0x7f800000) {
            if (hx & 0x7fffff == 0) {
                return Complex(f32).init(x * x, math.copysign(@as(f32, 0.0), x) * y);
            }
            return Complex(f32).init(x, math.copysign(@as(f32, 0.0), (x + x) * y));
        }

        if (ix < 0x7f800000 and iy >= 0x7f800000) {
            return Complex(f32).init(y - y, x * (y - y));
        }

        if (ix >= 0x7f800000 and (hx & 0x7fffff) == 0) {
            if (iy >= 0x7f800000) {
                return Complex(f32).init(x * x, x * (y - y));
            }
            return Complex(f32).init((x * x) * @cos(y), x * @sin(y));
        }

        return Complex(f32).init((x * x) * (y - y), (x + x) * (y - y));
    }

    fn cosh64(z: Complex(f64)) Complex(f64) {
        const x = z.re;
        const y = z.im;

        const fx = @bitCast(u64, x);
        const hx = @intCast(u32, fx >> 32);
        const lx = @truncate(u32, fx);
        const ix = hx & 0x7fffffff;

        const fy = @bitCast(u64, y);
        const hy = @intCast(u32, fy >> 32);
        const ly = @truncate(u32, fy);
        const iy = hy & 0x7fffffff;

        // nearly non-exceptional case where x, y are finite

        if (ix < 0x7ff00000 and iy < 0x7ff00000) {
            if (iy | ly == 0) {
                return Complex(f64).init(math.cosh(x), x * y);
            }
            // small x: normal case

            if (ix < 0x40360000) {
                return Complex(f64).init(math.cosh(x) * @cos(y), math.sinh(x) * @sin(y));
            }

            // |x|>= 22, so cosh(x) ~= exp(|x|)

            if (ix < 0x40862e42) {
                // x < 710: exp(|x|) won't overflow

                const h = @exp(@fabs(x)) * 0.5;
                return Complex(f64).init(h * @cos(y), math.copysign(h, x) * @sin(y));
            }
            // x < 1455: scale to avoid overflow

            else if (ix < 0x4096bbaa) {
                const v = Complex(f64).init(@fabs(x), y);
                const r = ldexp_cexp(v, -1);
                return Complex(f64).init(r.re, r.im * math.copysign(@as(f64, 1.0), x));
            }
            // x >= 1455: result always overflows

            else {
                const h = 0x1p1023;
                return Complex(f64).init(h * h * @cos(y), h * @sin(y));
            }
        }

        if (ix | lx == 0 and iy >= 0x7ff00000) {
            return Complex(f64).init(y - y, math.copysign(@as(f64, 0.0), x * (y - y)));
        }

        if (iy | ly == 0 and ix >= 0x7ff00000) {
            if ((hx & 0xfffff) | lx == 0) {
                return Complex(f64).init(x * x, math.copysign(@as(f64, 0.0), x) * y);
            }
            return Complex(f64).init(x * x, math.copysign(@as(f64, 0.0), (x + x) * y));
        }

        if (ix < 0x7ff00000 and iy >= 0x7ff00000) {
            return Complex(f64).init(y - y, x * (y - y));
        }

        if (ix >= 0x7ff00000 and (hx & 0xfffff) | lx == 0) {
            if (iy >= 0x7ff00000) {
                return Complex(f64).init(x * x, x * (y - y));
            }
            return Complex(f64).init(x * x * @cos(y), x * @sin(y));
        }

        return Complex(f64).init((x * x) * (y - y), (x + x) * (y - y));
    }

    const epsilon = 0.0001;

    test "complex.ccosh32" {
        const a = Complex(f32).init(5, 3);
        const c = cosh(a);

        try testing.expect(math.approxEqAbs(f32, c.re, -73.467300, epsilon));
        try testing.expect(math.approxEqAbs(f32, c.im, 10.471557, epsilon));
    }

    test "complex.ccosh64" {
        const a = Complex(f64).init(5, 3);
        const c = cosh(a);

        try testing.expect(math.approxEqAbs(f64, c.re, -73.467300, epsilon));
        try testing.expect(math.approxEqAbs(f64, c.im, 10.471557, epsilon));
    }