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This is an example of documentation generated by ZigDoc, an alternative to Zig's built-in Auto Doc feature. See also examples in other modes/formats. The project being documented here (as the example) is the Zig standard library. Private Function

cosh32

Private Function
std.math.cosh.cosh32
fn cosh32(x: f32) f32

cosh(x) = (exp(x) + 1 / exp(x)) / 2 = 1 + 0.5 * (exp(x) - 1) * (exp(x) - 1) / exp(x) = 1 + (x * x) / 2 + o(x^4)

Params

  • x: f32

File

math/cosh.zig:31
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fn cosh32(x: f32) f32 {
    const u = @as(u32, @bitCast(x));
    const ux = u & 0x7FFFFFFF;
    const ax = @as(f32, @bitCast(ux));

    // |x| < log(2)
    if (ux < 0x3F317217) {
        if (ux < 0x3F800000 - (12 << 23)) {
            math.raiseOverflow();
            return 1.0;
        }
        const t = math.expm1(ax);
        return 1 + t * t / (2 * (1 + t));
    }

    // |x| < log(FLT_MAX)
    if (ux < 0x42B17217) {
        const t = @exp(ax);
        return 0.5 * (t + 1 / t);
    }

    // |x| > log(FLT_MAX) or nan
    return expo2(ax);
}