use super::funejson::Value; // fdlibm's split of ln 2: k * LN2_HI is exact for every k this range needs. const LN2: f64 = 0.6931471805599453; const LN2_HI: f64 = 6.93147180369123816490e-01; const LN2_LO: f64 = 1.90821492927058770002e-10; /// e^x using only +, -, * and /, in the same order as the TypeScript and /// Python versions, so all three return the same double. /// /// # Panics /// Panics unless `x` is between -708 and 709. pub fn exp(x: f64) -> f64 { if !x.is_finite() || x < -708.0 || x > 709.0 { panic!("exp needs x between -708 and 709, received {}", x); } let kf = (x / LN2 + 0.5).floor(); let r = x - kf * LN2_HI - kf * LN2_LO; let mut p = 1.0 / 20922789888000.0; p = 1.0 / 1307674368000.0 + r * p; p = 1.0 / 87178291200.0 + r * p; p = 1.0 / 6227020800.0 + r * p; p = 1.0 / 479001600.0 + r * p; p = 1.0 / 39916800.0 + r * p; p = 1.0 / 3628800.0 + r * p; p = 1.0 / 362880.0 + r * p; p = 1.0 / 40320.0 + r * p; p = 1.0 / 5040.0 + r * p; p = 1.0 / 720.0 + r * p; p = 1.0 / 120.0 + r * p; p = 1.0 / 24.0 + r * p; p = 1.0 / 6.0 + r * p; p = 1.0 / 2.0 + r * p; p = 1.0 + r * p; let mut result = 1.0 + r * p; let k = kf as i64; for _ in 0..k.max(0) { result *= 2.0; } for _ in 0..(-k).max(0) { result /= 2.0; } result } pub fn fune_vector(args: &[Value]) -> Value { Value::Float(exp(args[0].as_f64())) }