Zig 0.17.0-dev (Split by item)

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tanh32

tanh.tanh32

fn tanh32(z: Complex(f32)) Complex(f32)

File

lib/std/math/complex/tanh.zig:23

Code

fn tanh32(z: Complex(f32)) Complex(f32) {
    const x = z.re;
    const y = z.im;

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

    if (ix >= 0x7f800000) {
        if (ix & 0x7fffff != 0) {
            const r = if (y == 0) y else x * y;
            return Complex(f32).init(x, r);
        }
        const xx = @as(f32, @bitCast(hx - 0x40000000));
        const r = if (math.isInf(y)) y else @sin(y) * @cos(y);
        return Complex(f32).init(xx, math.copysign(@as(f32, 0.0), r));
    }

    if (!math.isFinite(y)) {
        const r = if (ix != 0) y - y else x;
        return Complex(f32).init(r, y - y);
    }

    // x >= 11
    if (ix >= 0x41300000) {
        const exp_mx = @exp(-@abs(x));
        return Complex(f32).init(math.copysign(@as(f32, 1.0), x), 4 * @sin(y) * @cos(y) * exp_mx * exp_mx);
    }

    // Kahan's algorithm
    const t = @tan(y);
    const beta = 1.0 + t * t;
    const s = math.sinh(x);
    const rho = @sqrt(1 + s * s);
    const den = 1 + beta * s * s;

    return Complex(f32).init((beta * rho * s) / den, t / den);
}