#![stable(feature = "rust1", since = "1.0.0")]
#![allow(missing_docs)]
#[cfg(not(test))]
use intrinsics;
#[cfg(not(test))]
use sys::cmath;
#[stable(feature = "rust1", since = "1.0.0")]
pub use core::f64::{RADIX, MANTISSA_DIGITS, DIGITS, EPSILON};
#[stable(feature = "rust1", since = "1.0.0")]
pub use core::f64::{MIN_EXP, MAX_EXP, MIN_10_EXP};
#[stable(feature = "rust1", since = "1.0.0")]
pub use core::f64::{MAX_10_EXP, NAN, INFINITY, NEG_INFINITY};
#[stable(feature = "rust1", since = "1.0.0")]
pub use core::f64::{MIN, MIN_POSITIVE, MAX};
#[stable(feature = "rust1", since = "1.0.0")]
pub use core::f64::consts;
#[cfg(not(test))]
#[lang = "f64_runtime"]
impl f64 {
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn floor(self) -> f64 {
        unsafe { intrinsics::floorf64(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn ceil(self) -> f64 {
        unsafe { intrinsics::ceilf64(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn round(self) -> f64 {
        unsafe { intrinsics::roundf64(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn trunc(self) -> f64 {
        unsafe { intrinsics::truncf64(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn fract(self) -> f64 { self - self.trunc() }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn abs(self) -> f64 {
        unsafe { intrinsics::fabsf64(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn signum(self) -> f64 {
        if self.is_nan() {
            NAN
        } else {
            unsafe { intrinsics::copysignf64(1.0, self) }
        }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[inline]
    #[must_use]
    #[unstable(feature="copysign", issue="55169")]
    pub fn copysign(self, y: f64) -> f64 {
        unsafe { intrinsics::copysignf64(self, y) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn mul_add(self, a: f64, b: f64) -> f64 {
        unsafe { intrinsics::fmaf64(self, a, b) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[inline]
    #[unstable(feature = "euclidean_division", issue = "49048")]
    pub fn div_euclid(self, rhs: f64) -> f64 {
        let q = (self / rhs).trunc();
        if self % rhs < 0.0 {
            return if rhs > 0.0 { q - 1.0 } else { q + 1.0 }
        }
        q
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[inline]
    #[unstable(feature = "euclidean_division", issue = "49048")]
    pub fn rem_euclid(self, rhs: f64) -> f64 {
        let r = self % rhs;
        if r < 0.0 {
            r + rhs.abs()
        } else {
            r
        }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn powi(self, n: i32) -> f64 {
        unsafe { intrinsics::powif64(self, n) }
    }
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn powf(self, n: f64) -> f64 {
        unsafe { intrinsics::powf64(self, n) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn sqrt(self) -> f64 {
        if self < 0.0 {
            NAN
        } else {
            unsafe { intrinsics::sqrtf64(self) }
        }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn exp(self) -> f64 {
        unsafe { intrinsics::expf64(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn exp2(self) -> f64 {
        unsafe { intrinsics::exp2f64(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn ln(self) -> f64 {
        self.log_wrapper(|n| { unsafe { intrinsics::logf64(n) } })
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn log(self, base: f64) -> f64 { self.ln() / base.ln() }
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn log2(self) -> f64 {
        self.log_wrapper(|n| {
            #[cfg(target_os = "android")]
            return ::sys::android::log2f64(n);
            #[cfg(not(target_os = "android"))]
            return unsafe { intrinsics::log2f64(n) };
        })
    }
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn log10(self) -> f64 {
        self.log_wrapper(|n| { unsafe { intrinsics::log10f64(n) } })
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    #[rustc_deprecated(since = "1.10.0",
                       reason = "you probably meant `(self - other).abs()`: \
                                 this operation is `(self - other).max(0.0)` \
                                 except that `abs_sub` also propagates NaNs (also \
                                 known as `fdim` in C). If you truly need the positive \
                                 difference, consider using that expression or the C function \
                                 `fdim`, depending on how you wish to handle NaN (please consider \
                                 filing an issue describing your use-case too).")]
     pub fn abs_sub(self, other: f64) -> f64 {
         unsafe { cmath::fdim(self, other) }
     }
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn cbrt(self) -> f64 {
        unsafe { cmath::cbrt(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn hypot(self, other: f64) -> f64 {
        unsafe { cmath::hypot(self, other) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn sin(self) -> f64 {
        unsafe { intrinsics::sinf64(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn cos(self) -> f64 {
        unsafe { intrinsics::cosf64(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn tan(self) -> f64 {
        unsafe { cmath::tan(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn asin(self) -> f64 {
        unsafe { cmath::asin(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn acos(self) -> f64 {
        unsafe { cmath::acos(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn atan(self) -> f64 {
        unsafe { cmath::atan(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn atan2(self, other: f64) -> f64 {
        unsafe { cmath::atan2(self, other) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn sin_cos(self) -> (f64, f64) {
        (self.sin(), self.cos())
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn exp_m1(self) -> f64 {
        unsafe { cmath::expm1(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn ln_1p(self) -> f64 {
        unsafe { cmath::log1p(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn sinh(self) -> f64 {
        unsafe { cmath::sinh(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn cosh(self) -> f64 {
        unsafe { cmath::cosh(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn tanh(self) -> f64 {
        unsafe { cmath::tanh(self) }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn asinh(self) -> f64 {
        if self == NEG_INFINITY {
            NEG_INFINITY
        } else {
            (self + ((self * self) + 1.0).sqrt()).ln()
        }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn acosh(self) -> f64 {
        match self {
            x if x < 1.0 => NAN,
            x => (x + ((x * x) - 1.0).sqrt()).ln(),
        }
    }
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn atanh(self) -> f64 {
        0.5 * ((2.0 * self) / (1.0 - self)).ln_1p()
    }
    
    
    
    fn log_wrapper<F: Fn(f64) -> f64>(self, log_fn: F) -> f64 {
        if !cfg!(target_os = "solaris") {
            log_fn(self)
        } else {
            if self.is_finite() {
                if self > 0.0 {
                    log_fn(self)
                } else if self == 0.0 {
                    NEG_INFINITY 
                } else {
                    NAN 
                }
            } else if self.is_nan() {
                self 
            } else if self > 0.0 {
                self 
            } else {
                NAN 
            }
        }
    }
}
#[cfg(test)]
mod tests {
    use f64;
    use f64::*;
    use num::*;
    use num::FpCategory as Fp;
    #[test]
    fn test_num_f64() {
        test_num(10f64, 2f64);
    }
    #[test]
    fn test_min_nan() {
        assert_eq!(NAN.min(2.0), 2.0);
        assert_eq!(2.0f64.min(NAN), 2.0);
    }
    #[test]
    fn test_max_nan() {
        assert_eq!(NAN.max(2.0), 2.0);
        assert_eq!(2.0f64.max(NAN), 2.0);
    }
    #[test]
    fn test_nan() {
        let nan: f64 = NAN;
        assert!(nan.is_nan());
        assert!(!nan.is_infinite());
        assert!(!nan.is_finite());
        assert!(!nan.is_normal());
        assert!(nan.is_sign_positive());
        assert!(!nan.is_sign_negative());
        assert_eq!(Fp::Nan, nan.classify());
    }
    #[test]
    fn test_infinity() {
        let inf: f64 = INFINITY;
        assert!(inf.is_infinite());
        assert!(!inf.is_finite());
        assert!(inf.is_sign_positive());
        assert!(!inf.is_sign_negative());
        assert!(!inf.is_nan());
        assert!(!inf.is_normal());
        assert_eq!(Fp::Infinite, inf.classify());
    }
    #[test]
    fn test_neg_infinity() {
        let neg_inf: f64 = NEG_INFINITY;
        assert!(neg_inf.is_infinite());
        assert!(!neg_inf.is_finite());
        assert!(!neg_inf.is_sign_positive());
        assert!(neg_inf.is_sign_negative());
        assert!(!neg_inf.is_nan());
        assert!(!neg_inf.is_normal());
        assert_eq!(Fp::Infinite, neg_inf.classify());
    }
    #[test]
    fn test_zero() {
        let zero: f64 = 0.0f64;
        assert_eq!(0.0, zero);
        assert!(!zero.is_infinite());
        assert!(zero.is_finite());
        assert!(zero.is_sign_positive());
        assert!(!zero.is_sign_negative());
        assert!(!zero.is_nan());
        assert!(!zero.is_normal());
        assert_eq!(Fp::Zero, zero.classify());
    }
    #[test]
    fn test_neg_zero() {
        let neg_zero: f64 = -0.0;
        assert_eq!(0.0, neg_zero);
        assert!(!neg_zero.is_infinite());
        assert!(neg_zero.is_finite());
        assert!(!neg_zero.is_sign_positive());
        assert!(neg_zero.is_sign_negative());
        assert!(!neg_zero.is_nan());
        assert!(!neg_zero.is_normal());
        assert_eq!(Fp::Zero, neg_zero.classify());
    }
    #[cfg_attr(all(target_arch = "wasm32", target_os = "emscripten"), ignore)] 
    #[test]
    fn test_one() {
        let one: f64 = 1.0f64;
        assert_eq!(1.0, one);
        assert!(!one.is_infinite());
        assert!(one.is_finite());
        assert!(one.is_sign_positive());
        assert!(!one.is_sign_negative());
        assert!(!one.is_nan());
        assert!(one.is_normal());
        assert_eq!(Fp::Normal, one.classify());
    }
    #[test]
    fn test_is_nan() {
        let nan: f64 = NAN;
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        assert!(nan.is_nan());
        assert!(!0.0f64.is_nan());
        assert!(!5.3f64.is_nan());
        assert!(!(-10.732f64).is_nan());
        assert!(!inf.is_nan());
        assert!(!neg_inf.is_nan());
    }
    #[test]
    fn test_is_infinite() {
        let nan: f64 = NAN;
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        assert!(!nan.is_infinite());
        assert!(inf.is_infinite());
        assert!(neg_inf.is_infinite());
        assert!(!0.0f64.is_infinite());
        assert!(!42.8f64.is_infinite());
        assert!(!(-109.2f64).is_infinite());
    }
    #[test]
    fn test_is_finite() {
        let nan: f64 = NAN;
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        assert!(!nan.is_finite());
        assert!(!inf.is_finite());
        assert!(!neg_inf.is_finite());
        assert!(0.0f64.is_finite());
        assert!(42.8f64.is_finite());
        assert!((-109.2f64).is_finite());
    }
    #[cfg_attr(all(target_arch = "wasm32", target_os = "emscripten"), ignore)] 
    #[test]
    fn test_is_normal() {
        let nan: f64 = NAN;
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        let zero: f64 = 0.0f64;
        let neg_zero: f64 = -0.0;
        assert!(!nan.is_normal());
        assert!(!inf.is_normal());
        assert!(!neg_inf.is_normal());
        assert!(!zero.is_normal());
        assert!(!neg_zero.is_normal());
        assert!(1f64.is_normal());
        assert!(1e-307f64.is_normal());
        assert!(!1e-308f64.is_normal());
    }
    #[cfg_attr(all(target_arch = "wasm32", target_os = "emscripten"), ignore)] 
    #[test]
    fn test_classify() {
        let nan: f64 = NAN;
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        let zero: f64 = 0.0f64;
        let neg_zero: f64 = -0.0;
        assert_eq!(nan.classify(), Fp::Nan);
        assert_eq!(inf.classify(), Fp::Infinite);
        assert_eq!(neg_inf.classify(), Fp::Infinite);
        assert_eq!(zero.classify(), Fp::Zero);
        assert_eq!(neg_zero.classify(), Fp::Zero);
        assert_eq!(1e-307f64.classify(), Fp::Normal);
        assert_eq!(1e-308f64.classify(), Fp::Subnormal);
    }
    #[test]
    fn test_floor() {
        assert_approx_eq!(1.0f64.floor(), 1.0f64);
        assert_approx_eq!(1.3f64.floor(), 1.0f64);
        assert_approx_eq!(1.5f64.floor(), 1.0f64);
        assert_approx_eq!(1.7f64.floor(), 1.0f64);
        assert_approx_eq!(0.0f64.floor(), 0.0f64);
        assert_approx_eq!((-0.0f64).floor(), -0.0f64);
        assert_approx_eq!((-1.0f64).floor(), -1.0f64);
        assert_approx_eq!((-1.3f64).floor(), -2.0f64);
        assert_approx_eq!((-1.5f64).floor(), -2.0f64);
        assert_approx_eq!((-1.7f64).floor(), -2.0f64);
    }
    #[test]
    fn test_ceil() {
        assert_approx_eq!(1.0f64.ceil(), 1.0f64);
        assert_approx_eq!(1.3f64.ceil(), 2.0f64);
        assert_approx_eq!(1.5f64.ceil(), 2.0f64);
        assert_approx_eq!(1.7f64.ceil(), 2.0f64);
        assert_approx_eq!(0.0f64.ceil(), 0.0f64);
        assert_approx_eq!((-0.0f64).ceil(), -0.0f64);
        assert_approx_eq!((-1.0f64).ceil(), -1.0f64);
        assert_approx_eq!((-1.3f64).ceil(), -1.0f64);
        assert_approx_eq!((-1.5f64).ceil(), -1.0f64);
        assert_approx_eq!((-1.7f64).ceil(), -1.0f64);
    }
    #[test]
    fn test_round() {
        assert_approx_eq!(1.0f64.round(), 1.0f64);
        assert_approx_eq!(1.3f64.round(), 1.0f64);
        assert_approx_eq!(1.5f64.round(), 2.0f64);
        assert_approx_eq!(1.7f64.round(), 2.0f64);
        assert_approx_eq!(0.0f64.round(), 0.0f64);
        assert_approx_eq!((-0.0f64).round(), -0.0f64);
        assert_approx_eq!((-1.0f64).round(), -1.0f64);
        assert_approx_eq!((-1.3f64).round(), -1.0f64);
        assert_approx_eq!((-1.5f64).round(), -2.0f64);
        assert_approx_eq!((-1.7f64).round(), -2.0f64);
    }
    #[test]
    fn test_trunc() {
        assert_approx_eq!(1.0f64.trunc(), 1.0f64);
        assert_approx_eq!(1.3f64.trunc(), 1.0f64);
        assert_approx_eq!(1.5f64.trunc(), 1.0f64);
        assert_approx_eq!(1.7f64.trunc(), 1.0f64);
        assert_approx_eq!(0.0f64.trunc(), 0.0f64);
        assert_approx_eq!((-0.0f64).trunc(), -0.0f64);
        assert_approx_eq!((-1.0f64).trunc(), -1.0f64);
        assert_approx_eq!((-1.3f64).trunc(), -1.0f64);
        assert_approx_eq!((-1.5f64).trunc(), -1.0f64);
        assert_approx_eq!((-1.7f64).trunc(), -1.0f64);
    }
    #[test]
    fn test_fract() {
        assert_approx_eq!(1.0f64.fract(), 0.0f64);
        assert_approx_eq!(1.3f64.fract(), 0.3f64);
        assert_approx_eq!(1.5f64.fract(), 0.5f64);
        assert_approx_eq!(1.7f64.fract(), 0.7f64);
        assert_approx_eq!(0.0f64.fract(), 0.0f64);
        assert_approx_eq!((-0.0f64).fract(), -0.0f64);
        assert_approx_eq!((-1.0f64).fract(), -0.0f64);
        assert_approx_eq!((-1.3f64).fract(), -0.3f64);
        assert_approx_eq!((-1.5f64).fract(), -0.5f64);
        assert_approx_eq!((-1.7f64).fract(), -0.7f64);
    }
    #[test]
    fn test_abs() {
        assert_eq!(INFINITY.abs(), INFINITY);
        assert_eq!(1f64.abs(), 1f64);
        assert_eq!(0f64.abs(), 0f64);
        assert_eq!((-0f64).abs(), 0f64);
        assert_eq!((-1f64).abs(), 1f64);
        assert_eq!(NEG_INFINITY.abs(), INFINITY);
        assert_eq!((1f64/NEG_INFINITY).abs(), 0f64);
        assert!(NAN.abs().is_nan());
    }
    #[test]
    fn test_signum() {
        assert_eq!(INFINITY.signum(), 1f64);
        assert_eq!(1f64.signum(), 1f64);
        assert_eq!(0f64.signum(), 1f64);
        assert_eq!((-0f64).signum(), -1f64);
        assert_eq!((-1f64).signum(), -1f64);
        assert_eq!(NEG_INFINITY.signum(), -1f64);
        assert_eq!((1f64/NEG_INFINITY).signum(), -1f64);
        assert!(NAN.signum().is_nan());
    }
    #[test]
    fn test_is_sign_positive() {
        assert!(INFINITY.is_sign_positive());
        assert!(1f64.is_sign_positive());
        assert!(0f64.is_sign_positive());
        assert!(!(-0f64).is_sign_positive());
        assert!(!(-1f64).is_sign_positive());
        assert!(!NEG_INFINITY.is_sign_positive());
        assert!(!(1f64/NEG_INFINITY).is_sign_positive());
        assert!(NAN.is_sign_positive());
        assert!(!(-NAN).is_sign_positive());
    }
    #[test]
    fn test_is_sign_negative() {
        assert!(!INFINITY.is_sign_negative());
        assert!(!1f64.is_sign_negative());
        assert!(!0f64.is_sign_negative());
        assert!((-0f64).is_sign_negative());
        assert!((-1f64).is_sign_negative());
        assert!(NEG_INFINITY.is_sign_negative());
        assert!((1f64/NEG_INFINITY).is_sign_negative());
        assert!(!NAN.is_sign_negative());
        assert!((-NAN).is_sign_negative());
    }
    #[test]
    fn test_mul_add() {
        let nan: f64 = NAN;
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        assert_approx_eq!(12.3f64.mul_add(4.5, 6.7), 62.05);
        assert_approx_eq!((-12.3f64).mul_add(-4.5, -6.7), 48.65);
        assert_approx_eq!(0.0f64.mul_add(8.9, 1.2), 1.2);
        assert_approx_eq!(3.4f64.mul_add(-0.0, 5.6), 5.6);
        assert!(nan.mul_add(7.8, 9.0).is_nan());
        assert_eq!(inf.mul_add(7.8, 9.0), inf);
        assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf);
        assert_eq!(8.9f64.mul_add(inf, 3.2), inf);
        assert_eq!((-3.2f64).mul_add(2.4, neg_inf), neg_inf);
    }
    #[test]
    fn test_recip() {
        let nan: f64 = NAN;
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        assert_eq!(1.0f64.recip(), 1.0);
        assert_eq!(2.0f64.recip(), 0.5);
        assert_eq!((-0.4f64).recip(), -2.5);
        assert_eq!(0.0f64.recip(), inf);
        assert!(nan.recip().is_nan());
        assert_eq!(inf.recip(), 0.0);
        assert_eq!(neg_inf.recip(), 0.0);
    }
    #[test]
    fn test_powi() {
        let nan: f64 = NAN;
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        assert_eq!(1.0f64.powi(1), 1.0);
        assert_approx_eq!((-3.1f64).powi(2), 9.61);
        assert_approx_eq!(5.9f64.powi(-2), 0.028727);
        assert_eq!(8.3f64.powi(0), 1.0);
        assert!(nan.powi(2).is_nan());
        assert_eq!(inf.powi(3), inf);
        assert_eq!(neg_inf.powi(2), inf);
    }
    #[test]
    fn test_powf() {
        let nan: f64 = NAN;
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        assert_eq!(1.0f64.powf(1.0), 1.0);
        assert_approx_eq!(3.4f64.powf(4.5), 246.408183);
        assert_approx_eq!(2.7f64.powf(-3.2), 0.041652);
        assert_approx_eq!((-3.1f64).powf(2.0), 9.61);
        assert_approx_eq!(5.9f64.powf(-2.0), 0.028727);
        assert_eq!(8.3f64.powf(0.0), 1.0);
        assert!(nan.powf(2.0).is_nan());
        assert_eq!(inf.powf(2.0), inf);
        assert_eq!(neg_inf.powf(3.0), neg_inf);
    }
    #[test]
    fn test_sqrt_domain() {
        assert!(NAN.sqrt().is_nan());
        assert!(NEG_INFINITY.sqrt().is_nan());
        assert!((-1.0f64).sqrt().is_nan());
        assert_eq!((-0.0f64).sqrt(), -0.0);
        assert_eq!(0.0f64.sqrt(), 0.0);
        assert_eq!(1.0f64.sqrt(), 1.0);
        assert_eq!(INFINITY.sqrt(), INFINITY);
    }
    #[test]
    fn test_exp() {
        assert_eq!(1.0, 0.0f64.exp());
        assert_approx_eq!(2.718282, 1.0f64.exp());
        assert_approx_eq!(148.413159, 5.0f64.exp());
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        let nan: f64 = NAN;
        assert_eq!(inf, inf.exp());
        assert_eq!(0.0, neg_inf.exp());
        assert!(nan.exp().is_nan());
    }
    #[test]
    fn test_exp2() {
        assert_eq!(32.0, 5.0f64.exp2());
        assert_eq!(1.0, 0.0f64.exp2());
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        let nan: f64 = NAN;
        assert_eq!(inf, inf.exp2());
        assert_eq!(0.0, neg_inf.exp2());
        assert!(nan.exp2().is_nan());
    }
    #[test]
    fn test_ln() {
        let nan: f64 = NAN;
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        assert_approx_eq!(1.0f64.exp().ln(), 1.0);
        assert!(nan.ln().is_nan());
        assert_eq!(inf.ln(), inf);
        assert!(neg_inf.ln().is_nan());
        assert!((-2.3f64).ln().is_nan());
        assert_eq!((-0.0f64).ln(), neg_inf);
        assert_eq!(0.0f64.ln(), neg_inf);
        assert_approx_eq!(4.0f64.ln(), 1.386294);
    }
    #[test]
    fn test_log() {
        let nan: f64 = NAN;
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        assert_eq!(10.0f64.log(10.0), 1.0);
        assert_approx_eq!(2.3f64.log(3.5), 0.664858);
        assert_eq!(1.0f64.exp().log(1.0f64.exp()), 1.0);
        assert!(1.0f64.log(1.0).is_nan());
        assert!(1.0f64.log(-13.9).is_nan());
        assert!(nan.log(2.3).is_nan());
        assert_eq!(inf.log(10.0), inf);
        assert!(neg_inf.log(8.8).is_nan());
        assert!((-2.3f64).log(0.1).is_nan());
        assert_eq!((-0.0f64).log(2.0), neg_inf);
        assert_eq!(0.0f64.log(7.0), neg_inf);
    }
    #[test]
    fn test_log2() {
        let nan: f64 = NAN;
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        assert_approx_eq!(10.0f64.log2(), 3.321928);
        assert_approx_eq!(2.3f64.log2(), 1.201634);
        assert_approx_eq!(1.0f64.exp().log2(), 1.442695);
        assert!(nan.log2().is_nan());
        assert_eq!(inf.log2(), inf);
        assert!(neg_inf.log2().is_nan());
        assert!((-2.3f64).log2().is_nan());
        assert_eq!((-0.0f64).log2(), neg_inf);
        assert_eq!(0.0f64.log2(), neg_inf);
    }
    #[test]
    fn test_log10() {
        let nan: f64 = NAN;
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        assert_eq!(10.0f64.log10(), 1.0);
        assert_approx_eq!(2.3f64.log10(), 0.361728);
        assert_approx_eq!(1.0f64.exp().log10(), 0.434294);
        assert_eq!(1.0f64.log10(), 0.0);
        assert!(nan.log10().is_nan());
        assert_eq!(inf.log10(), inf);
        assert!(neg_inf.log10().is_nan());
        assert!((-2.3f64).log10().is_nan());
        assert_eq!((-0.0f64).log10(), neg_inf);
        assert_eq!(0.0f64.log10(), neg_inf);
    }
    #[test]
    fn test_to_degrees() {
        let pi: f64 = consts::PI;
        let nan: f64 = NAN;
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        assert_eq!(0.0f64.to_degrees(), 0.0);
        assert_approx_eq!((-5.8f64).to_degrees(), -332.315521);
        assert_eq!(pi.to_degrees(), 180.0);
        assert!(nan.to_degrees().is_nan());
        assert_eq!(inf.to_degrees(), inf);
        assert_eq!(neg_inf.to_degrees(), neg_inf);
    }
    #[test]
    fn test_to_radians() {
        let pi: f64 = consts::PI;
        let nan: f64 = NAN;
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        assert_eq!(0.0f64.to_radians(), 0.0);
        assert_approx_eq!(154.6f64.to_radians(), 2.698279);
        assert_approx_eq!((-332.31f64).to_radians(), -5.799903);
        assert_eq!(180.0f64.to_radians(), pi);
        assert!(nan.to_radians().is_nan());
        assert_eq!(inf.to_radians(), inf);
        assert_eq!(neg_inf.to_radians(), neg_inf);
    }
    #[test]
    fn test_asinh() {
        assert_eq!(0.0f64.asinh(), 0.0f64);
        assert_eq!((-0.0f64).asinh(), -0.0f64);
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        let nan: f64 = NAN;
        assert_eq!(inf.asinh(), inf);
        assert_eq!(neg_inf.asinh(), neg_inf);
        assert!(nan.asinh().is_nan());
        assert_approx_eq!(2.0f64.asinh(), 1.443635475178810342493276740273105f64);
        assert_approx_eq!((-2.0f64).asinh(), -1.443635475178810342493276740273105f64);
    }
    #[test]
    fn test_acosh() {
        assert_eq!(1.0f64.acosh(), 0.0f64);
        assert!(0.999f64.acosh().is_nan());
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        let nan: f64 = NAN;
        assert_eq!(inf.acosh(), inf);
        assert!(neg_inf.acosh().is_nan());
        assert!(nan.acosh().is_nan());
        assert_approx_eq!(2.0f64.acosh(), 1.31695789692481670862504634730796844f64);
        assert_approx_eq!(3.0f64.acosh(), 1.76274717403908605046521864995958461f64);
    }
    #[test]
    fn test_atanh() {
        assert_eq!(0.0f64.atanh(), 0.0f64);
        assert_eq!((-0.0f64).atanh(), -0.0f64);
        let inf: f64 = INFINITY;
        let neg_inf: f64 = NEG_INFINITY;
        let nan: f64 = NAN;
        assert_eq!(1.0f64.atanh(), inf);
        assert_eq!((-1.0f64).atanh(), neg_inf);
        assert!(2f64.atanh().atanh().is_nan());
        assert!((-2f64).atanh().atanh().is_nan());
        assert!(inf.atanh().is_nan());
        assert!(neg_inf.atanh().is_nan());
        assert!(nan.atanh().is_nan());
        assert_approx_eq!(0.5f64.atanh(), 0.54930614433405484569762261846126285f64);
        assert_approx_eq!((-0.5f64).atanh(), -0.54930614433405484569762261846126285f64);
    }
    #[test]
    fn test_real_consts() {
        use super::consts;
        let pi: f64 = consts::PI;
        let frac_pi_2: f64 = consts::FRAC_PI_2;
        let frac_pi_3: f64 = consts::FRAC_PI_3;
        let frac_pi_4: f64 = consts::FRAC_PI_4;
        let frac_pi_6: f64 = consts::FRAC_PI_6;
        let frac_pi_8: f64 = consts::FRAC_PI_8;
        let frac_1_pi: f64 = consts::FRAC_1_PI;
        let frac_2_pi: f64 = consts::FRAC_2_PI;
        let frac_2_sqrtpi: f64 = consts::FRAC_2_SQRT_PI;
        let sqrt2: f64 = consts::SQRT_2;
        let frac_1_sqrt2: f64 = consts::FRAC_1_SQRT_2;
        let e: f64 = consts::E;
        let log2_e: f64 = consts::LOG2_E;
        let log10_e: f64 = consts::LOG10_E;
        let ln_2: f64 = consts::LN_2;
        let ln_10: f64 = consts::LN_10;
        assert_approx_eq!(frac_pi_2, pi / 2f64);
        assert_approx_eq!(frac_pi_3, pi / 3f64);
        assert_approx_eq!(frac_pi_4, pi / 4f64);
        assert_approx_eq!(frac_pi_6, pi / 6f64);
        assert_approx_eq!(frac_pi_8, pi / 8f64);
        assert_approx_eq!(frac_1_pi, 1f64 / pi);
        assert_approx_eq!(frac_2_pi, 2f64 / pi);
        assert_approx_eq!(frac_2_sqrtpi, 2f64 / pi.sqrt());
        assert_approx_eq!(sqrt2, 2f64.sqrt());
        assert_approx_eq!(frac_1_sqrt2, 1f64 / 2f64.sqrt());
        assert_approx_eq!(log2_e, e.log2());
        assert_approx_eq!(log10_e, e.log10());
        assert_approx_eq!(ln_2, 2f64.ln());
        assert_approx_eq!(ln_10, 10f64.ln());
    }
    #[test]
    fn test_float_bits_conv() {
        assert_eq!((1f64).to_bits(), 0x3ff0000000000000);
        assert_eq!((12.5f64).to_bits(), 0x4029000000000000);
        assert_eq!((1337f64).to_bits(), 0x4094e40000000000);
        assert_eq!((-14.25f64).to_bits(), 0xc02c800000000000);
        assert_approx_eq!(f64::from_bits(0x3ff0000000000000), 1.0);
        assert_approx_eq!(f64::from_bits(0x4029000000000000), 12.5);
        assert_approx_eq!(f64::from_bits(0x4094e40000000000), 1337.0);
        assert_approx_eq!(f64::from_bits(0xc02c800000000000), -14.25);
        
        
        let masked_nan1 = f64::NAN.to_bits() ^ 0x000A_AAAA_AAAA_AAAA;
        let masked_nan2 = f64::NAN.to_bits() ^ 0x0005_5555_5555_5555;
        assert!(f64::from_bits(masked_nan1).is_nan());
        assert!(f64::from_bits(masked_nan2).is_nan());
        assert_eq!(f64::from_bits(masked_nan1).to_bits(), masked_nan1);
        assert_eq!(f64::from_bits(masked_nan2).to_bits(), masked_nan2);
    }
}