| // Copyright 2012 The Rust Project Developers. See the COPYRIGHT |
| // file at the top-level directory of this distribution and at |
| // http://rust-lang.org/COPYRIGHT. |
| // |
| // Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or |
| // http://www.apache.org/licenses/LICENSE-2.0> or the MIT license |
| // <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your |
| // option. This file may not be copied, modified, or distributed |
| // except according to those terms. |
| |
| //! Operations and constants for `float` |
| |
| // Even though this module exports everything defined in it, |
| // because it contains re-exports, we also have to explicitly |
| // export locally defined things. That's a bit annoying. |
| |
| |
| // export when m_float == c_double |
| |
| |
| // PORT this must match in width according to architecture |
| |
| #[allow(missing_doc)]; |
| #[allow(non_uppercase_statics)]; |
| |
| use default::Default; |
| use num::{Zero, One, strconv}; |
| use num::FPCategory; |
| use num; |
| use prelude::*; |
| use to_str; |
| |
| pub static NaN: float = 0.0/0.0; |
| |
| pub static infinity: float = 1.0/0.0; |
| |
| pub static neg_infinity: float = -1.0/0.0; |
| |
| /* Module: consts */ |
| pub mod consts { |
| // FIXME (requires Issue #1433 to fix): replace with mathematical |
| // constants from cmath. |
| /// Archimedes' constant |
| pub static pi: float = 3.14159265358979323846264338327950288; |
| |
| /// pi/2.0 |
| pub static frac_pi_2: float = 1.57079632679489661923132169163975144; |
| |
| /// pi/4.0 |
| pub static frac_pi_4: float = 0.785398163397448309615660845819875721; |
| |
| /// 1.0/pi |
| pub static frac_1_pi: float = 0.318309886183790671537767526745028724; |
| |
| /// 2.0/pi |
| pub static frac_2_pi: float = 0.636619772367581343075535053490057448; |
| |
| /// 2.0/sqrt(pi) |
| pub static frac_2_sqrtpi: float = 1.12837916709551257389615890312154517; |
| |
| /// sqrt(2.0) |
| pub static sqrt2: float = 1.41421356237309504880168872420969808; |
| |
| /// 1.0/sqrt(2.0) |
| pub static frac_1_sqrt2: float = 0.707106781186547524400844362104849039; |
| |
| /// Euler's number |
| pub static e: float = 2.71828182845904523536028747135266250; |
| |
| /// log2(e) |
| pub static log2_e: float = 1.44269504088896340735992468100189214; |
| |
| /// log10(e) |
| pub static log10_e: float = 0.434294481903251827651128918916605082; |
| |
| /// ln(2.0) |
| pub static ln_2: float = 0.693147180559945309417232121458176568; |
| |
| /// ln(10.0) |
| pub static ln_10: float = 2.30258509299404568401799145468436421; |
| } |
| |
| // |
| // Section: String Conversions |
| // |
| |
| /// |
| /// Converts a float to a string |
| /// |
| /// # Arguments |
| /// |
| /// * num - The float value |
| /// |
| #[inline] |
| pub fn to_str(num: float) -> ~str { |
| let (r, _) = strconv::float_to_str_common( |
| num, 10u, true, strconv::SignNeg, strconv::DigAll); |
| r |
| } |
| |
| /// |
| /// Converts a float to a string in hexadecimal format |
| /// |
| /// # Arguments |
| /// |
| /// * num - The float value |
| /// |
| #[inline] |
| pub fn to_str_hex(num: float) -> ~str { |
| let (r, _) = strconv::float_to_str_common( |
| num, 16u, true, strconv::SignNeg, strconv::DigAll); |
| r |
| } |
| |
| /// |
| /// Converts a float to a string in a given radix, and a flag indicating |
| /// whether it's a special value |
| /// |
| /// # Arguments |
| /// |
| /// * num - The float value |
| /// * radix - The base to use |
| /// |
| #[inline] |
| pub fn to_str_radix_special(num: float, radix: uint) -> (~str, bool) { |
| strconv::float_to_str_common(num, radix, true, |
| strconv::SignNeg, strconv::DigAll) |
| } |
| |
| /// |
| /// Converts a float to a string with exactly the number of |
| /// provided significant digits |
| /// |
| /// # Arguments |
| /// |
| /// * num - The float value |
| /// * digits - The number of significant digits |
| /// |
| #[inline] |
| pub fn to_str_exact(num: float, digits: uint) -> ~str { |
| let (r, _) = strconv::float_to_str_common( |
| num, 10u, true, strconv::SignNeg, strconv::DigExact(digits)); |
| r |
| } |
| |
| /// |
| /// Converts a float to a string with a maximum number of |
| /// significant digits |
| /// |
| /// # Arguments |
| /// |
| /// * num - The float value |
| /// * digits - The number of significant digits |
| /// |
| #[inline] |
| pub fn to_str_digits(num: float, digits: uint) -> ~str { |
| let (r, _) = strconv::float_to_str_common( |
| num, 10u, true, strconv::SignNeg, strconv::DigMax(digits)); |
| r |
| } |
| |
| impl to_str::ToStr for float { |
| #[inline] |
| fn to_str(&self) -> ~str { to_str_digits(*self, 8) } |
| } |
| |
| impl num::ToStrRadix for float { |
| /// Converts a float to a string in a given radix |
| /// |
| /// # Arguments |
| /// |
| /// * num - The float value |
| /// * radix - The base to use |
| /// |
| /// # Failure |
| /// |
| /// Fails if called on a special value like `inf`, `-inf` or `NaN` due to |
| /// possible misinterpretation of the result at higher bases. If those values |
| /// are expected, use `to_str_radix_special()` instead. |
| #[inline] |
| fn to_str_radix(&self, radix: uint) -> ~str { |
| let (r, special) = strconv::float_to_str_common( |
| *self, radix, true, strconv::SignNeg, strconv::DigAll); |
| if special { fail!("number has a special value, \ |
| try to_str_radix_special() if those are expected") } |
| r |
| } |
| } |
| |
| /// |
| /// Convert a string in base 16 to a float. |
| /// Accepts a optional binary exponent. |
| /// |
| /// This function accepts strings such as |
| /// |
| /// * 'a4.fe' |
| /// * '+a4.fe', equivalent to 'a4.fe' |
| /// * '-a4.fe' |
| /// * '2b.aP128', or equivalently, '2b.ap128' |
| /// * '2b.aP-128' |
| /// * '.' (understood as 0) |
| /// * 'c.' |
| /// * '.c', or, equivalently, '0.c' |
| /// * '+inf', 'inf', '-inf', 'NaN' |
| /// |
| /// Leading and trailing whitespace represent an error. |
| /// |
| /// # Arguments |
| /// |
| /// * num - A string |
| /// |
| /// # Return value |
| /// |
| /// `none` if the string did not represent a valid number. Otherwise, |
| /// `Some(n)` where `n` is the floating-point number represented by `[num]`. |
| /// |
| #[inline] |
| pub fn from_str_hex(num: &str) -> Option<float> { |
| strconv::from_str_common(num, 16u, true, true, true, |
| strconv::ExpBin, false, false) |
| } |
| |
| impl FromStr for float { |
| /// |
| /// Convert a string in base 10 to a float. |
| /// Accepts a optional decimal exponent. |
| /// |
| /// This function accepts strings such as |
| /// |
| /// * '3.14' |
| /// * '+3.14', equivalent to '3.14' |
| /// * '-3.14' |
| /// * '2.5E10', or equivalently, '2.5e10' |
| /// * '2.5E-10' |
| /// * '.' (understood as 0) |
| /// * '5.' |
| /// * '.5', or, equivalently, '0.5' |
| /// * '+inf', 'inf', '-inf', 'NaN' |
| /// |
| /// Leading and trailing whitespace represent an error. |
| /// |
| /// # Arguments |
| /// |
| /// * num - A string |
| /// |
| /// # Return value |
| /// |
| /// `none` if the string did not represent a valid number. Otherwise, |
| /// `Some(n)` where `n` is the floating-point number represented by `num`. |
| /// |
| #[inline] |
| fn from_str(val: &str) -> Option<float> { |
| strconv::from_str_common(val, 10u, true, true, true, |
| strconv::ExpDec, false, false) |
| } |
| } |
| |
| impl num::FromStrRadix for float { |
| /// |
| /// Convert a string in an given base to a float. |
| /// |
| /// Due to possible conflicts, this function does **not** accept |
| /// the special values `inf`, `-inf`, `+inf` and `NaN`, **nor** |
| /// does it recognize exponents of any kind. |
| /// |
| /// Leading and trailing whitespace represent an error. |
| /// |
| /// # Arguments |
| /// |
| /// * num - A string |
| /// * radix - The base to use. Must lie in the range [2 .. 36] |
| /// |
| /// # Return value |
| /// |
| /// `none` if the string did not represent a valid number. Otherwise, |
| /// `Some(n)` where `n` is the floating-point number represented by `num`. |
| /// |
| #[inline] |
| fn from_str_radix(val: &str, radix: uint) -> Option<float> { |
| strconv::from_str_common(val, radix, true, true, false, |
| strconv::ExpNone, false, false) |
| } |
| } |
| |
| // |
| // Section: Arithmetics |
| // |
| |
| /// |
| /// Compute the exponentiation of an integer by another integer as a float |
| /// |
| /// # Arguments |
| /// |
| /// * x - The base |
| /// * pow - The exponent |
| /// |
| /// # Return value |
| /// |
| /// `NaN` if both `x` and `pow` are `0u`, otherwise `x^pow` |
| /// |
| pub fn pow_with_uint(base: uint, pow: uint) -> float { |
| if base == 0u { |
| if pow == 0u { |
| return NaN as float; |
| } |
| return 0.; |
| } |
| let mut my_pow = pow; |
| let mut total = 1f; |
| let mut multiplier = base as float; |
| while (my_pow > 0u) { |
| if my_pow % 2u == 1u { |
| total = total * multiplier; |
| } |
| my_pow /= 2u; |
| multiplier *= multiplier; |
| } |
| return total; |
| } |
| |
| impl Num for float {} |
| |
| #[cfg(not(test))] |
| impl Eq for float { |
| #[inline] |
| fn eq(&self, other: &float) -> bool { (*self) == (*other) } |
| } |
| |
| #[cfg(not(test))] |
| impl ApproxEq<float> for float { |
| #[inline] |
| fn approx_epsilon() -> float { 1.0e-6 } |
| |
| #[inline] |
| fn approx_eq(&self, other: &float) -> bool { |
| self.approx_eq_eps(other, &1.0e-6) |
| } |
| |
| #[inline] |
| fn approx_eq_eps(&self, other: &float, approx_epsilon: &float) -> bool { |
| (*self - *other).abs() < *approx_epsilon |
| } |
| } |
| |
| #[cfg(not(test))] |
| impl Ord for float { |
| #[inline] |
| fn lt(&self, other: &float) -> bool { (*self) < (*other) } |
| #[inline] |
| fn le(&self, other: &float) -> bool { (*self) <= (*other) } |
| #[inline] |
| fn ge(&self, other: &float) -> bool { (*self) >= (*other) } |
| #[inline] |
| fn gt(&self, other: &float) -> bool { (*self) > (*other) } |
| } |
| |
| impl Orderable for float { |
| /// Returns `NaN` if either of the numbers are `NaN`. |
| #[inline] |
| fn min(&self, other: &float) -> float { |
| (*self as f64).min(&(*other as f64)) as float |
| } |
| |
| /// Returns `NaN` if either of the numbers are `NaN`. |
| #[inline] |
| fn max(&self, other: &float) -> float { |
| (*self as f64).max(&(*other as f64)) as float |
| } |
| |
| /// Returns the number constrained within the range `mn <= self <= mx`. |
| /// If any of the numbers are `NaN` then `NaN` is returned. |
| #[inline] |
| fn clamp(&self, mn: &float, mx: &float) -> float { |
| (*self as f64).clamp(&(*mn as f64), &(*mx as f64)) as float |
| } |
| } |
| |
| impl Default for float { |
| #[inline] |
| fn default() -> float { 0.0 } |
| } |
| |
| impl Zero for float { |
| #[inline] |
| fn zero() -> float { 0.0 } |
| |
| /// Returns true if the number is equal to either `0.0` or `-0.0` |
| #[inline] |
| fn is_zero(&self) -> bool { *self == 0.0 || *self == -0.0 } |
| } |
| |
| impl One for float { |
| #[inline] |
| fn one() -> float { 1.0 } |
| } |
| |
| impl Round for float { |
| /// Round half-way cases toward `neg_infinity` |
| #[inline] |
| fn floor(&self) -> float { (*self as f64).floor() as float } |
| |
| /// Round half-way cases toward `infinity` |
| #[inline] |
| fn ceil(&self) -> float { (*self as f64).ceil() as float } |
| |
| /// Round half-way cases away from `0.0` |
| #[inline] |
| fn round(&self) -> float { (*self as f64).round() as float } |
| |
| /// The integer part of the number (rounds towards `0.0`) |
| #[inline] |
| fn trunc(&self) -> float { (*self as f64).trunc() as float } |
| |
| /// |
| /// The fractional part of the number, satisfying: |
| /// |
| /// ```rust |
| /// assert!(x == trunc(x) + fract(x)) |
| /// ``` |
| /// |
| #[inline] |
| fn fract(&self) -> float { *self - self.trunc() } |
| } |
| |
| impl Fractional for float { |
| /// The reciprocal (multiplicative inverse) of the number |
| #[inline] |
| fn recip(&self) -> float { 1.0 / *self } |
| } |
| |
| impl Algebraic for float { |
| #[inline] |
| fn pow(&self, n: &float) -> float { |
| (*self as f64).pow(&(*n as f64)) as float |
| } |
| |
| #[inline] |
| fn sqrt(&self) -> float { |
| (*self as f64).sqrt() as float |
| } |
| |
| #[inline] |
| fn rsqrt(&self) -> float { |
| (*self as f64).rsqrt() as float |
| } |
| |
| #[inline] |
| fn cbrt(&self) -> float { |
| (*self as f64).cbrt() as float |
| } |
| |
| #[inline] |
| fn hypot(&self, other: &float) -> float { |
| (*self as f64).hypot(&(*other as f64)) as float |
| } |
| } |
| |
| impl Trigonometric for float { |
| #[inline] |
| fn sin(&self) -> float { |
| (*self as f64).sin() as float |
| } |
| |
| #[inline] |
| fn cos(&self) -> float { |
| (*self as f64).cos() as float |
| } |
| |
| #[inline] |
| fn tan(&self) -> float { |
| (*self as f64).tan() as float |
| } |
| |
| #[inline] |
| fn asin(&self) -> float { |
| (*self as f64).asin() as float |
| } |
| |
| #[inline] |
| fn acos(&self) -> float { |
| (*self as f64).acos() as float |
| } |
| |
| #[inline] |
| fn atan(&self) -> float { |
| (*self as f64).atan() as float |
| } |
| |
| #[inline] |
| fn atan2(&self, other: &float) -> float { |
| (*self as f64).atan2(&(*other as f64)) as float |
| } |
| |
| /// Simultaneously computes the sine and cosine of the number |
| #[inline] |
| fn sin_cos(&self) -> (float, float) { |
| match (*self as f64).sin_cos() { |
| (s, c) => (s as float, c as float) |
| } |
| } |
| } |
| |
| impl Exponential for float { |
| /// Returns the exponential of the number |
| #[inline] |
| fn exp(&self) -> float { |
| (*self as f64).exp() as float |
| } |
| |
| /// Returns 2 raised to the power of the number |
| #[inline] |
| fn exp2(&self) -> float { |
| (*self as f64).exp2() as float |
| } |
| |
| /// Returns the natural logarithm of the number |
| #[inline] |
| fn ln(&self) -> float { |
| (*self as f64).ln() as float |
| } |
| |
| /// Returns the logarithm of the number with respect to an arbitrary base |
| #[inline] |
| fn log(&self, base: &float) -> float { |
| (*self as f64).log(&(*base as f64)) as float |
| } |
| |
| /// Returns the base 2 logarithm of the number |
| #[inline] |
| fn log2(&self) -> float { |
| (*self as f64).log2() as float |
| } |
| |
| /// Returns the base 10 logarithm of the number |
| #[inline] |
| fn log10(&self) -> float { |
| (*self as f64).log10() as float |
| } |
| } |
| |
| impl Hyperbolic for float { |
| #[inline] |
| fn sinh(&self) -> float { |
| (*self as f64).sinh() as float |
| } |
| |
| #[inline] |
| fn cosh(&self) -> float { |
| (*self as f64).cosh() as float |
| } |
| |
| #[inline] |
| fn tanh(&self) -> float { |
| (*self as f64).tanh() as float |
| } |
| |
| /// |
| /// Inverse hyperbolic sine |
| /// |
| /// # Returns |
| /// |
| /// - on success, the inverse hyperbolic sine of `self` will be returned |
| /// - `self` if `self` is `0.0`, `-0.0`, `infinity`, or `neg_infinity` |
| /// - `NaN` if `self` is `NaN` |
| /// |
| #[inline] |
| fn asinh(&self) -> float { |
| (*self as f64).asinh() as float |
| } |
| |
| /// |
| /// Inverse hyperbolic cosine |
| /// |
| /// # Returns |
| /// |
| /// - on success, the inverse hyperbolic cosine of `self` will be returned |
| /// - `infinity` if `self` is `infinity` |
| /// - `NaN` if `self` is `NaN` or `self < 1.0` (including `neg_infinity`) |
| /// |
| #[inline] |
| fn acosh(&self) -> float { |
| (*self as f64).acosh() as float |
| } |
| |
| /// |
| /// Inverse hyperbolic tangent |
| /// |
| /// # Returns |
| /// |
| /// - on success, the inverse hyperbolic tangent of `self` will be returned |
| /// - `self` if `self` is `0.0` or `-0.0` |
| /// - `infinity` if `self` is `1.0` |
| /// - `neg_infinity` if `self` is `-1.0` |
| /// - `NaN` if the `self` is `NaN` or outside the domain of `-1.0 <= self <= 1.0` |
| /// (including `infinity` and `neg_infinity`) |
| /// |
| #[inline] |
| fn atanh(&self) -> float { |
| (*self as f64).atanh() as float |
| } |
| } |
| |
| impl Real for float { |
| /// Archimedes' constant |
| #[inline] |
| fn pi() -> float { 3.14159265358979323846264338327950288 } |
| |
| /// 2.0 * pi |
| #[inline] |
| fn two_pi() -> float { 6.28318530717958647692528676655900576 } |
| |
| /// pi / 2.0 |
| #[inline] |
| fn frac_pi_2() -> float { 1.57079632679489661923132169163975144 } |
| |
| /// pi / 3.0 |
| #[inline] |
| fn frac_pi_3() -> float { 1.04719755119659774615421446109316763 } |
| |
| /// pi / 4.0 |
| #[inline] |
| fn frac_pi_4() -> float { 0.785398163397448309615660845819875721 } |
| |
| /// pi / 6.0 |
| #[inline] |
| fn frac_pi_6() -> float { 0.52359877559829887307710723054658381 } |
| |
| /// pi / 8.0 |
| #[inline] |
| fn frac_pi_8() -> float { 0.39269908169872415480783042290993786 } |
| |
| /// 1.0 / pi |
| #[inline] |
| fn frac_1_pi() -> float { 0.318309886183790671537767526745028724 } |
| |
| /// 2.0 / pi |
| #[inline] |
| fn frac_2_pi() -> float { 0.636619772367581343075535053490057448 } |
| |
| /// 2 .0/ sqrt(pi) |
| #[inline] |
| fn frac_2_sqrtpi() -> float { 1.12837916709551257389615890312154517 } |
| |
| /// sqrt(2.0) |
| #[inline] |
| fn sqrt2() -> float { 1.41421356237309504880168872420969808 } |
| |
| /// 1.0 / sqrt(2.0) |
| #[inline] |
| fn frac_1_sqrt2() -> float { 0.707106781186547524400844362104849039 } |
| |
| /// Euler's number |
| #[inline] |
| fn e() -> float { 2.71828182845904523536028747135266250 } |
| |
| /// log2(e) |
| #[inline] |
| fn log2_e() -> float { 1.44269504088896340735992468100189214 } |
| |
| /// log10(e) |
| #[inline] |
| fn log10_e() -> float { 0.434294481903251827651128918916605082 } |
| |
| /// ln(2.0) |
| #[inline] |
| fn ln_2() -> float { 0.693147180559945309417232121458176568 } |
| |
| /// ln(10.0) |
| #[inline] |
| fn ln_10() -> float { 2.30258509299404568401799145468436421 } |
| |
| /// Converts to degrees, assuming the number is in radians |
| #[inline] |
| fn to_degrees(&self) -> float { (*self as f64).to_degrees() as float } |
| |
| /// Converts to radians, assuming the number is in degrees |
| #[inline] |
| fn to_radians(&self) -> float { (*self as f64).to_radians() as float } |
| } |
| |
| impl RealExt for float { |
| #[inline] |
| fn lgamma(&self) -> (int, float) { |
| let (sign, value) = (*self as f64).lgamma(); |
| (sign, value as float) |
| } |
| |
| #[inline] |
| fn tgamma(&self) -> float { (*self as f64).tgamma() as float } |
| |
| #[inline] |
| fn j0(&self) -> float { (*self as f64).j0() as float } |
| |
| #[inline] |
| fn j1(&self) -> float { (*self as f64).j1() as float } |
| |
| #[inline] |
| fn jn(&self, n: int) -> float { (*self as f64).jn(n) as float } |
| |
| #[inline] |
| fn y0(&self) -> float { (*self as f64).y0() as float } |
| |
| #[inline] |
| fn y1(&self) -> float { (*self as f64).y1() as float } |
| |
| #[inline] |
| fn yn(&self, n: int) -> float { (*self as f64).yn(n) as float } |
| } |
| |
| #[cfg(not(test))] |
| impl Add<float,float> for float { |
| #[inline] |
| fn add(&self, other: &float) -> float { *self + *other } |
| } |
| |
| #[cfg(not(test))] |
| impl Sub<float,float> for float { |
| #[inline] |
| fn sub(&self, other: &float) -> float { *self - *other } |
| } |
| |
| #[cfg(not(test))] |
| impl Mul<float,float> for float { |
| #[inline] |
| fn mul(&self, other: &float) -> float { *self * *other } |
| } |
| |
| #[cfg(not(test))] |
| impl Div<float,float> for float { |
| #[inline] |
| fn div(&self, other: &float) -> float { *self / *other } |
| } |
| |
| #[cfg(not(test))] |
| impl Rem<float,float> for float { |
| #[inline] |
| fn rem(&self, other: &float) -> float { *self % *other } |
| } |
| #[cfg(not(test))] |
| impl Neg<float> for float { |
| #[inline] |
| fn neg(&self) -> float { -*self } |
| } |
| |
| impl Signed for float { |
| /// Computes the absolute value. Returns `NaN` if the number is `NaN`. |
| #[inline] |
| fn abs(&self) -> float { (*self as f64).abs() as float } |
| |
| /// |
| /// The positive difference of two numbers. Returns `0.0` if the number is less than or |
| /// equal to `other`, otherwise the difference between`self` and `other` is returned. |
| /// |
| #[inline] |
| fn abs_sub(&self, other: &float) -> float { |
| (*self as f64).abs_sub(&(*other as f64)) as float |
| } |
| |
| /// |
| /// # Returns |
| /// |
| /// - `1.0` if the number is positive, `+0.0` or `infinity` |
| /// - `-1.0` if the number is negative, `-0.0` or `neg_infinity` |
| /// - `NaN` if the number is NaN |
| /// |
| #[inline] |
| fn signum(&self) -> float { |
| (*self as f64).signum() as float |
| } |
| |
| /// Returns `true` if the number is positive, including `+0.0` and `infinity` |
| #[inline] |
| fn is_positive(&self) -> bool { *self > 0.0 || (1.0 / *self) == infinity } |
| |
| /// Returns `true` if the number is negative, including `-0.0` and `neg_infinity` |
| #[inline] |
| fn is_negative(&self) -> bool { *self < 0.0 || (1.0 / *self) == neg_infinity } |
| } |
| |
| impl Bounded for float { |
| #[inline] |
| fn min_value() -> float { |
| let x: f64 = Bounded::min_value(); |
| x as float |
| } |
| |
| #[inline] |
| fn max_value() -> float { |
| let x: f64 = Bounded::max_value(); |
| x as float |
| } |
| } |
| |
| impl Primitive for float { |
| #[inline] |
| fn bits(_: Option<float>) -> uint { |
| let bits: uint = Primitive::bits(Some(0f64)); |
| bits |
| } |
| |
| #[inline] |
| fn bytes(_: Option<float>) -> uint { |
| let bytes: uint = Primitive::bytes(Some(0f64)); |
| bytes |
| } |
| } |
| |
| impl Float for float { |
| #[inline] |
| fn nan() -> float { |
| let value: f64 = Float::nan(); |
| value as float |
| } |
| |
| #[inline] |
| fn infinity() -> float { |
| let value: f64 = Float::infinity(); |
| value as float |
| } |
| |
| #[inline] |
| fn neg_infinity() -> float { |
| let value: f64 = Float::neg_infinity(); |
| value as float |
| } |
| |
| #[inline] |
| fn neg_zero() -> float { |
| let value: f64 = Float::neg_zero(); |
| value as float |
| } |
| |
| /// Returns `true` if the number is NaN |
| #[inline] |
| fn is_nan(&self) -> bool { (*self as f64).is_nan() } |
| |
| /// Returns `true` if the number is infinite |
| #[inline] |
| fn is_infinite(&self) -> bool { (*self as f64).is_infinite() } |
| |
| /// Returns `true` if the number is neither infinite or NaN |
| #[inline] |
| fn is_finite(&self) -> bool { (*self as f64).is_finite() } |
| |
| /// Returns `true` if the number is neither zero, infinite, subnormal or NaN |
| #[inline] |
| fn is_normal(&self) -> bool { (*self as f64).is_normal() } |
| |
| /// Returns the floating point category of the number. If only one property is going to |
| /// be tested, it is generally faster to use the specific predicate instead. |
| #[inline] |
| fn classify(&self) -> FPCategory { (*self as f64).classify() } |
| |
| #[inline] |
| fn mantissa_digits(_: Option<float>) -> uint { |
| Float::mantissa_digits(Some(0f64)) |
| } |
| |
| #[inline] |
| fn digits(_: Option<float>) -> uint { |
| Float::digits(Some(0f64)) |
| } |
| |
| #[inline] |
| fn epsilon() -> float { |
| let value: f64 = Float::epsilon(); |
| value as float |
| } |
| |
| #[inline] |
| fn min_exp(_: Option<float>) -> int { |
| Float::min_exp(Some(0f64)) |
| } |
| |
| #[inline] |
| fn max_exp(_: Option<float>) -> int { |
| Float::max_exp(Some(0f64)) |
| } |
| |
| #[inline] |
| fn min_10_exp(_: Option<float>) -> int { |
| Float::min_10_exp(Some(0f64)) |
| } |
| |
| #[inline] |
| fn max_10_exp(_: Option<float>) -> int { |
| Float::max_10_exp(Some(0f64)) |
| } |
| |
| /// Constructs a floating point number by multiplying `x` by 2 raised to the power of `exp` |
| #[inline] |
| fn ldexp(x: float, exp: int) -> float { |
| let value: f64 = Float::ldexp(x as f64, exp); |
| value as float |
| } |
| |
| /// |
| /// Breaks the number into a normalized fraction and a base-2 exponent, satisfying: |
| /// |
| /// - `self = x * pow(2, exp)` |
| /// - `0.5 <= abs(x) < 1.0` |
| /// |
| #[inline] |
| fn frexp(&self) -> (float, int) { |
| match (*self as f64).frexp() { |
| (x, exp) => (x as float, exp) |
| } |
| } |
| |
| /// |
| /// Returns the exponential of the number, minus `1`, in a way that is accurate |
| /// even if the number is close to zero |
| /// |
| #[inline] |
| fn exp_m1(&self) -> float { |
| (*self as f64).exp_m1() as float |
| } |
| |
| /// |
| /// Returns the natural logarithm of the number plus `1` (`ln(1+n)`) more accurately |
| /// than if the operations were performed separately |
| /// |
| #[inline] |
| fn ln_1p(&self) -> float { |
| (*self as f64).ln_1p() as float |
| } |
| |
| /// |
| /// Fused multiply-add. Computes `(self * a) + b` with only one rounding error. This |
| /// produces a more accurate result with better performance than a separate multiplication |
| /// operation followed by an add. |
| /// |
| #[inline] |
| fn mul_add(&self, a: float, b: float) -> float { |
| (*self as f64).mul_add(a as f64, b as f64) as float |
| } |
| |
| /// Returns the next representable floating-point value in the direction of `other` |
| #[inline] |
| fn next_after(&self, other: float) -> float { |
| (*self as f64).next_after(other as f64) as float |
| } |
| } |
| |
| #[cfg(test)] |
| mod tests { |
| use prelude::*; |
| use super::*; |
| |
| use num::*; |
| use num; |
| use sys; |
| |
| #[test] |
| fn test_num() { |
| num::test_num(10f, 2f); |
| } |
| |
| #[test] |
| fn test_min() { |
| assert_eq!(1f.min(&2f), 1f); |
| assert_eq!(2f.min(&1f), 1f); |
| } |
| |
| #[test] |
| fn test_max() { |
| assert_eq!(1f.max(&2f), 2f); |
| assert_eq!(2f.max(&1f), 2f); |
| } |
| |
| #[test] |
| fn test_clamp() { |
| assert_eq!(1f.clamp(&2f, &4f), 2f); |
| assert_eq!(8f.clamp(&2f, &4f), 4f); |
| assert_eq!(3f.clamp(&2f, &4f), 3f); |
| let nan: float = Float::nan(); |
| assert!(3f.clamp(&nan, &4f).is_nan()); |
| assert!(3f.clamp(&2f, &nan).is_nan()); |
| assert!(nan.clamp(&2f, &4f).is_nan()); |
| } |
| |
| #[test] |
| fn test_floor() { |
| assert_approx_eq!(1.0f.floor(), 1.0f); |
| assert_approx_eq!(1.3f.floor(), 1.0f); |
| assert_approx_eq!(1.5f.floor(), 1.0f); |
| assert_approx_eq!(1.7f.floor(), 1.0f); |
| assert_approx_eq!(0.0f.floor(), 0.0f); |
| assert_approx_eq!((-0.0f).floor(), -0.0f); |
| assert_approx_eq!((-1.0f).floor(), -1.0f); |
| assert_approx_eq!((-1.3f).floor(), -2.0f); |
| assert_approx_eq!((-1.5f).floor(), -2.0f); |
| assert_approx_eq!((-1.7f).floor(), -2.0f); |
| } |
| |
| #[test] |
| fn test_ceil() { |
| assert_approx_eq!(1.0f.ceil(), 1.0f); |
| assert_approx_eq!(1.3f.ceil(), 2.0f); |
| assert_approx_eq!(1.5f.ceil(), 2.0f); |
| assert_approx_eq!(1.7f.ceil(), 2.0f); |
| assert_approx_eq!(0.0f.ceil(), 0.0f); |
| assert_approx_eq!((-0.0f).ceil(), -0.0f); |
| assert_approx_eq!((-1.0f).ceil(), -1.0f); |
| assert_approx_eq!((-1.3f).ceil(), -1.0f); |
| assert_approx_eq!((-1.5f).ceil(), -1.0f); |
| assert_approx_eq!((-1.7f).ceil(), -1.0f); |
| } |
| |
| #[test] |
| fn test_round() { |
| assert_approx_eq!(1.0f.round(), 1.0f); |
| assert_approx_eq!(1.3f.round(), 1.0f); |
| assert_approx_eq!(1.5f.round(), 2.0f); |
| assert_approx_eq!(1.7f.round(), 2.0f); |
| assert_approx_eq!(0.0f.round(), 0.0f); |
| assert_approx_eq!((-0.0f).round(), -0.0f); |
| assert_approx_eq!((-1.0f).round(), -1.0f); |
| assert_approx_eq!((-1.3f).round(), -1.0f); |
| assert_approx_eq!((-1.5f).round(), -2.0f); |
| assert_approx_eq!((-1.7f).round(), -2.0f); |
| } |
| |
| #[test] |
| fn test_trunc() { |
| assert_approx_eq!(1.0f.trunc(), 1.0f); |
| assert_approx_eq!(1.3f.trunc(), 1.0f); |
| assert_approx_eq!(1.5f.trunc(), 1.0f); |
| assert_approx_eq!(1.7f.trunc(), 1.0f); |
| assert_approx_eq!(0.0f.trunc(), 0.0f); |
| assert_approx_eq!((-0.0f).trunc(), -0.0f); |
| assert_approx_eq!((-1.0f).trunc(), -1.0f); |
| assert_approx_eq!((-1.3f).trunc(), -1.0f); |
| assert_approx_eq!((-1.5f).trunc(), -1.0f); |
| assert_approx_eq!((-1.7f).trunc(), -1.0f); |
| } |
| |
| #[test] |
| fn test_fract() { |
| assert_approx_eq!(1.0f.fract(), 0.0f); |
| assert_approx_eq!(1.3f.fract(), 0.3f); |
| assert_approx_eq!(1.5f.fract(), 0.5f); |
| assert_approx_eq!(1.7f.fract(), 0.7f); |
| assert_approx_eq!(0.0f.fract(), 0.0f); |
| assert_approx_eq!((-0.0f).fract(), -0.0f); |
| assert_approx_eq!((-1.0f).fract(), -0.0f); |
| assert_approx_eq!((-1.3f).fract(), -0.3f); |
| assert_approx_eq!((-1.5f).fract(), -0.5f); |
| assert_approx_eq!((-1.7f).fract(), -0.7f); |
| } |
| |
| #[test] |
| fn test_asinh() { |
| assert_eq!(0.0f.asinh(), 0.0f); |
| assert_eq!((-0.0f).asinh(), -0.0f); |
| |
| let inf: float = Float::infinity(); |
| let neg_inf: float = Float::neg_infinity(); |
| let nan: float = Float::nan(); |
| assert_eq!(inf.asinh(), inf); |
| assert_eq!(neg_inf.asinh(), neg_inf); |
| assert!(nan.asinh().is_nan()); |
| assert_approx_eq!(2.0f.asinh(), 1.443635475178810342493276740273105f); |
| assert_approx_eq!((-2.0f).asinh(), -1.443635475178810342493276740273105f); |
| } |
| |
| #[test] |
| fn test_acosh() { |
| assert_eq!(1.0f.acosh(), 0.0f); |
| assert!(0.999f.acosh().is_nan()); |
| |
| let inf: float = Float::infinity(); |
| let neg_inf: float = Float::neg_infinity(); |
| let nan: float = Float::nan(); |
| assert_eq!(inf.acosh(), inf); |
| assert!(neg_inf.acosh().is_nan()); |
| assert!(nan.acosh().is_nan()); |
| assert_approx_eq!(2.0f.acosh(), 1.31695789692481670862504634730796844f); |
| assert_approx_eq!(3.0f.acosh(), 1.76274717403908605046521864995958461f); |
| } |
| |
| #[test] |
| fn test_atanh() { |
| assert_eq!(0.0f.atanh(), 0.0f); |
| assert_eq!((-0.0f).atanh(), -0.0f); |
| |
| let inf: float = Float::infinity(); |
| let neg_inf: float = Float::neg_infinity(); |
| let inf64: f64 = Float::infinity(); |
| let neg_inf64: f64 = Float::neg_infinity(); |
| let nan: float = Float::nan(); |
| assert_eq!(1.0f.atanh(), inf); |
| assert_eq!((-1.0f).atanh(), neg_inf); |
| assert!(2f64.atanh().atanh().is_nan()); |
| assert!((-2f64).atanh().atanh().is_nan()); |
| assert!(inf64.atanh().is_nan()); |
| assert!(neg_inf64.atanh().is_nan()); |
| assert!(nan.atanh().is_nan()); |
| assert_approx_eq!(0.5f.atanh(), 0.54930614433405484569762261846126285f); |
| assert_approx_eq!((-0.5f).atanh(), -0.54930614433405484569762261846126285f); |
| } |
| |
| #[test] |
| fn test_real_consts() { |
| let pi: float = Real::pi(); |
| let two_pi: float = Real::two_pi(); |
| let frac_pi_2: float = Real::frac_pi_2(); |
| let frac_pi_3: float = Real::frac_pi_3(); |
| let frac_pi_4: float = Real::frac_pi_4(); |
| let frac_pi_6: float = Real::frac_pi_6(); |
| let frac_pi_8: float = Real::frac_pi_8(); |
| let frac_1_pi: float = Real::frac_1_pi(); |
| let frac_2_pi: float = Real::frac_2_pi(); |
| let frac_2_sqrtpi: float = Real::frac_2_sqrtpi(); |
| let sqrt2: float = Real::sqrt2(); |
| let frac_1_sqrt2: float = Real::frac_1_sqrt2(); |
| let e: float = Real::e(); |
| let log2_e: float = Real::log2_e(); |
| let log10_e: float = Real::log10_e(); |
| let ln_2: float = Real::ln_2(); |
| let ln_10: float = Real::ln_10(); |
| |
| assert_approx_eq!(two_pi, 2f * pi); |
| assert_approx_eq!(frac_pi_2, pi / 2f); |
| assert_approx_eq!(frac_pi_3, pi / 3f); |
| assert_approx_eq!(frac_pi_4, pi / 4f); |
| assert_approx_eq!(frac_pi_6, pi / 6f); |
| assert_approx_eq!(frac_pi_8, pi / 8f); |
| assert_approx_eq!(frac_1_pi, 1f / pi); |
| assert_approx_eq!(frac_2_pi, 2f / pi); |
| assert_approx_eq!(frac_2_sqrtpi, 2f / pi.sqrt()); |
| assert_approx_eq!(sqrt2, 2f.sqrt()); |
| assert_approx_eq!(frac_1_sqrt2, 1f / 2f.sqrt()); |
| assert_approx_eq!(log2_e, e.log2()); |
| assert_approx_eq!(log10_e, e.log10()); |
| assert_approx_eq!(ln_2, 2f.ln()); |
| assert_approx_eq!(ln_10, 10f.ln()); |
| } |
| |
| #[test] |
| fn test_abs() { |
| assert_eq!(infinity.abs(), infinity); |
| assert_eq!(1f.abs(), 1f); |
| assert_eq!(0f.abs(), 0f); |
| assert_eq!((-0f).abs(), 0f); |
| assert_eq!((-1f).abs(), 1f); |
| assert_eq!(neg_infinity.abs(), infinity); |
| assert_eq!((1f/neg_infinity).abs(), 0f); |
| assert!(NaN.abs().is_nan()); |
| } |
| |
| #[test] |
| fn test_abs_sub() { |
| assert_eq!((-1f).abs_sub(&1f), 0f); |
| assert_eq!(1f.abs_sub(&1f), 0f); |
| assert_eq!(1f.abs_sub(&0f), 1f); |
| assert_eq!(1f.abs_sub(&-1f), 2f); |
| assert_eq!(neg_infinity.abs_sub(&0f), 0f); |
| assert_eq!(infinity.abs_sub(&1f), infinity); |
| assert_eq!(0f.abs_sub(&neg_infinity), infinity); |
| assert_eq!(0f.abs_sub(&infinity), 0f); |
| } |
| |
| #[test] #[ignore(cfg(windows))] // FIXME #8663 |
| fn test_abs_sub_nowin() { |
| assert!(NaN.abs_sub(&-1f).is_nan()); |
| assert!(1f.abs_sub(&NaN).is_nan()); |
| } |
| |
| #[test] |
| fn test_signum() { |
| assert_eq!(infinity.signum(), 1f); |
| assert_eq!(1f.signum(), 1f); |
| assert_eq!(0f.signum(), 1f); |
| assert_eq!((-0f).signum(), -1f); |
| assert_eq!((-1f).signum(), -1f); |
| assert_eq!(neg_infinity.signum(), -1f); |
| assert_eq!((1f/neg_infinity).signum(), -1f); |
| assert!(NaN.signum().is_nan()); |
| } |
| |
| #[test] |
| fn test_is_positive() { |
| assert!(infinity.is_positive()); |
| assert!(1f.is_positive()); |
| assert!(0f.is_positive()); |
| assert!(!(-0f).is_positive()); |
| assert!(!(-1f).is_positive()); |
| assert!(!neg_infinity.is_positive()); |
| assert!(!(1f/neg_infinity).is_positive()); |
| assert!(!NaN.is_positive()); |
| } |
| |
| #[test] |
| fn test_is_negative() { |
| assert!(!infinity.is_negative()); |
| assert!(!1f.is_negative()); |
| assert!(!0f.is_negative()); |
| assert!((-0f).is_negative()); |
| assert!((-1f).is_negative()); |
| assert!(neg_infinity.is_negative()); |
| assert!((1f/neg_infinity).is_negative()); |
| assert!(!NaN.is_negative()); |
| } |
| |
| #[test] |
| fn test_approx_eq() { |
| assert!(1.0f.approx_eq(&1f)); |
| assert!(0.9999999f.approx_eq(&1f)); |
| assert!(1.000001f.approx_eq_eps(&1f, &1.0e-5)); |
| assert!(1.0000001f.approx_eq_eps(&1f, &1.0e-6)); |
| assert!(!1.0000001f.approx_eq_eps(&1f, &1.0e-7)); |
| } |
| |
| #[test] |
| fn test_primitive() { |
| let none: Option<float> = None; |
| assert_eq!(Primitive::bits(none), sys::size_of::<float>() * 8); |
| assert_eq!(Primitive::bytes(none), sys::size_of::<float>()); |
| } |
| |
| #[test] |
| fn test_is_normal() { |
| let nan: float = Float::nan(); |
| let inf: float = Float::infinity(); |
| let neg_inf: float = Float::neg_infinity(); |
| let zero: float = Zero::zero(); |
| let neg_zero: float = Float::neg_zero(); |
| assert!(!nan.is_normal()); |
| assert!(!inf.is_normal()); |
| assert!(!neg_inf.is_normal()); |
| assert!(!zero.is_normal()); |
| assert!(!neg_zero.is_normal()); |
| assert!(1f.is_normal()); |
| assert!(1e-307f.is_normal()); |
| assert!(!1e-308f.is_normal()); |
| } |
| |
| #[test] |
| fn test_classify() { |
| let nan: float = Float::nan(); |
| let inf: float = Float::infinity(); |
| let neg_inf: float = Float::neg_infinity(); |
| let zero: float = Zero::zero(); |
| let neg_zero: float = Float::neg_zero(); |
| assert_eq!(nan.classify(), FPNaN); |
| assert_eq!(inf.classify(), FPInfinite); |
| assert_eq!(neg_inf.classify(), FPInfinite); |
| assert_eq!(zero.classify(), FPZero); |
| assert_eq!(neg_zero.classify(), FPZero); |
| assert_eq!(1f.classify(), FPNormal); |
| assert_eq!(1e-307f.classify(), FPNormal); |
| assert_eq!(1e-308f.classify(), FPSubnormal); |
| } |
| |
| #[test] |
| fn test_ldexp() { |
| // We have to use from_str until base-2 exponents |
| // are supported in floating-point literals |
| let f1: float = from_str_hex("1p-123").unwrap(); |
| let f2: float = from_str_hex("1p-111").unwrap(); |
| assert_eq!(Float::ldexp(1f, -123), f1); |
| assert_eq!(Float::ldexp(1f, -111), f2); |
| |
| assert_eq!(Float::ldexp(0f, -123), 0f); |
| assert_eq!(Float::ldexp(-0f, -123), -0f); |
| |
| let inf: float = Float::infinity(); |
| let neg_inf: float = Float::neg_infinity(); |
| let nan: float = Float::nan(); |
| assert_eq!(Float::ldexp(inf, -123), inf); |
| assert_eq!(Float::ldexp(neg_inf, -123), neg_inf); |
| assert!(Float::ldexp(nan, -123).is_nan()); |
| } |
| |
| #[test] |
| fn test_frexp() { |
| // We have to use from_str until base-2 exponents |
| // are supported in floating-point literals |
| let f1: float = from_str_hex("1p-123").unwrap(); |
| let f2: float = from_str_hex("1p-111").unwrap(); |
| let (x1, exp1) = f1.frexp(); |
| let (x2, exp2) = f2.frexp(); |
| assert_eq!((x1, exp1), (0.5f, -122)); |
| assert_eq!((x2, exp2), (0.5f, -110)); |
| assert_eq!(Float::ldexp(x1, exp1), f1); |
| assert_eq!(Float::ldexp(x2, exp2), f2); |
| |
| assert_eq!(0f.frexp(), (0f, 0)); |
| assert_eq!((-0f).frexp(), (-0f, 0)); |
| } |
| |
| #[test] #[ignore(cfg(windows))] // FIXME #8755 |
| fn test_frexp_nowin() { |
| let inf: float = Float::infinity(); |
| let neg_inf: float = Float::neg_infinity(); |
| let nan: float = Float::nan(); |
| assert_eq!(match inf.frexp() { (x, _) => x }, inf); |
| assert_eq!(match neg_inf.frexp() { (x, _) => x }, neg_inf); |
| assert!(match nan.frexp() { (x, _) => x.is_nan() }) |
| } |
| |
| #[test] |
| pub fn test_to_str_exact_do_decimal() { |
| let s = to_str_exact(5.0, 4u); |
| assert_eq!(s, ~"5.0000"); |
| } |
| |
| #[test] |
| pub fn test_from_str() { |
| assert_eq!(from_str::<float>("3"), Some(3.)); |
| assert_eq!(from_str::<float>("3.14"), Some(3.14)); |
| assert_eq!(from_str::<float>("+3.14"), Some(3.14)); |
| assert_eq!(from_str::<float>("-3.14"), Some(-3.14)); |
| assert_eq!(from_str::<float>("2.5E10"), Some(25000000000.)); |
| assert_eq!(from_str::<float>("2.5e10"), Some(25000000000.)); |
| assert_eq!(from_str::<float>("25000000000.E-10"), Some(2.5)); |
| assert_eq!(from_str::<float>("."), Some(0.)); |
| assert_eq!(from_str::<float>(".e1"), Some(0.)); |
| assert_eq!(from_str::<float>(".e-1"), Some(0.)); |
| assert_eq!(from_str::<float>("5."), Some(5.)); |
| assert_eq!(from_str::<float>(".5"), Some(0.5)); |
| assert_eq!(from_str::<float>("0.5"), Some(0.5)); |
| assert_eq!(from_str::<float>("-.5"), Some(-0.5)); |
| assert_eq!(from_str::<float>("-5"), Some(-5.)); |
| assert_eq!(from_str::<float>("inf"), Some(infinity)); |
| assert_eq!(from_str::<float>("+inf"), Some(infinity)); |
| assert_eq!(from_str::<float>("-inf"), Some(neg_infinity)); |
| // note: NaN != NaN, hence this slightly complex test |
| match from_str::<float>("NaN") { |
| Some(f) => assert!(f.is_nan()), |
| None => fail!() |
| } |
| // note: -0 == 0, hence these slightly more complex tests |
| match from_str::<float>("-0") { |
| Some(v) if v.is_zero() => assert!(v.is_negative()), |
| _ => fail!() |
| } |
| match from_str::<float>("0") { |
| Some(v) if v.is_zero() => assert!(v.is_positive()), |
| _ => fail!() |
| } |
| |
| assert!(from_str::<float>("").is_none()); |
| assert!(from_str::<float>("x").is_none()); |
| assert!(from_str::<float>(" ").is_none()); |
| assert!(from_str::<float>(" ").is_none()); |
| assert!(from_str::<float>("e").is_none()); |
| assert!(from_str::<float>("E").is_none()); |
| assert!(from_str::<float>("E1").is_none()); |
| assert!(from_str::<float>("1e1e1").is_none()); |
| assert!(from_str::<float>("1e1.1").is_none()); |
| assert!(from_str::<float>("1e1-1").is_none()); |
| } |
| |
| #[test] |
| pub fn test_from_str_hex() { |
| assert_eq!(from_str_hex("a4"), Some(164.)); |
| assert_eq!(from_str_hex("a4.fe"), Some(164.9921875)); |
| assert_eq!(from_str_hex("-a4.fe"), Some(-164.9921875)); |
| assert_eq!(from_str_hex("+a4.fe"), Some(164.9921875)); |
| assert_eq!(from_str_hex("ff0P4"), Some(0xff00 as float)); |
| assert_eq!(from_str_hex("ff0p4"), Some(0xff00 as float)); |
| assert_eq!(from_str_hex("ff0p-4"), Some(0xff as float)); |
| assert_eq!(from_str_hex("."), Some(0.)); |
| assert_eq!(from_str_hex(".p1"), Some(0.)); |
| assert_eq!(from_str_hex(".p-1"), Some(0.)); |
| assert_eq!(from_str_hex("f."), Some(15.)); |
| assert_eq!(from_str_hex(".f"), Some(0.9375)); |
| assert_eq!(from_str_hex("0.f"), Some(0.9375)); |
| assert_eq!(from_str_hex("-.f"), Some(-0.9375)); |
| assert_eq!(from_str_hex("-f"), Some(-15.)); |
| assert_eq!(from_str_hex("inf"), Some(infinity)); |
| assert_eq!(from_str_hex("+inf"), Some(infinity)); |
| assert_eq!(from_str_hex("-inf"), Some(neg_infinity)); |
| // note: NaN != NaN, hence this slightly complex test |
| match from_str_hex("NaN") { |
| Some(f) => assert!(f.is_nan()), |
| None => fail!() |
| } |
| // note: -0 == 0, hence these slightly more complex tests |
| match from_str_hex("-0") { |
| Some(v) if v.is_zero() => assert!(v.is_negative()), |
| _ => fail!() |
| } |
| match from_str_hex("0") { |
| Some(v) if v.is_zero() => assert!(v.is_positive()), |
| _ => fail!() |
| } |
| assert_eq!(from_str_hex("e"), Some(14.)); |
| assert_eq!(from_str_hex("E"), Some(14.)); |
| assert_eq!(from_str_hex("E1"), Some(225.)); |
| assert_eq!(from_str_hex("1e1e1"), Some(123361.)); |
| assert_eq!(from_str_hex("1e1.1"), Some(481.0625)); |
| |
| assert!(from_str_hex("").is_none()); |
| assert!(from_str_hex("x").is_none()); |
| assert!(from_str_hex(" ").is_none()); |
| assert!(from_str_hex(" ").is_none()); |
| assert!(from_str_hex("p").is_none()); |
| assert!(from_str_hex("P").is_none()); |
| assert!(from_str_hex("P1").is_none()); |
| assert!(from_str_hex("1p1p1").is_none()); |
| assert!(from_str_hex("1p1.1").is_none()); |
| assert!(from_str_hex("1p1-1").is_none()); |
| } |
| |
| #[test] |
| pub fn test_to_str_hex() { |
| assert_eq!(to_str_hex(164.), ~"a4"); |
| assert_eq!(to_str_hex(164.9921875), ~"a4.fe"); |
| assert_eq!(to_str_hex(-164.9921875), ~"-a4.fe"); |
| assert_eq!(to_str_hex(0xff00 as float), ~"ff00"); |
| assert_eq!(to_str_hex(-(0xff00 as float)), ~"-ff00"); |
| assert_eq!(to_str_hex(0.), ~"0"); |
| assert_eq!(to_str_hex(15.), ~"f"); |
| assert_eq!(to_str_hex(-15.), ~"-f"); |
| assert_eq!(to_str_hex(0.9375), ~"0.f"); |
| assert_eq!(to_str_hex(-0.9375), ~"-0.f"); |
| assert_eq!(to_str_hex(infinity), ~"inf"); |
| assert_eq!(to_str_hex(neg_infinity), ~"-inf"); |
| assert_eq!(to_str_hex(NaN), ~"NaN"); |
| assert_eq!(to_str_hex(0.), ~"0"); |
| assert_eq!(to_str_hex(-0.), ~"-0"); |
| } |
| |
| #[test] |
| pub fn test_to_str_radix() { |
| assert_eq!(36.0f.to_str_radix(36u), ~"10"); |
| assert_eq!(8.125f.to_str_radix(2u), ~"1000.001"); |
| } |
| |
| #[test] |
| pub fn test_from_str_radix() { |
| assert_eq!(from_str_radix("10", 36u), Some(36.)); |
| assert_eq!(from_str_radix("1000.001", 2u), Some(8.125)); |
| } |
| |
| #[test] |
| pub fn test_to_str_inf() { |
| assert_eq!(to_str_digits(infinity, 10u), ~"inf"); |
| assert_eq!(to_str_digits(-infinity, 10u), ~"-inf"); |
| } |
| } |