| // Copyright 2012-2014 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 32-bits floats (`f32` type) |
| |
| #![stable] |
| #![allow(missing_docs)] |
| #![allow(unsigned_negation)] |
| #![doc(primitive = "f32")] |
| |
| use prelude::v1::*; |
| |
| use intrinsics; |
| use libc::c_int; |
| use num::{Float, FpCategory}; |
| use num::strconv; |
| use num::strconv::ExponentFormat::{ExpNone, ExpDec}; |
| use num::strconv::SignificantDigits::{DigAll, DigMax, DigExact}; |
| use num::strconv::SignFormat::SignNeg; |
| |
| use core::num; |
| |
| pub use core::f32::{RADIX, MANTISSA_DIGITS, DIGITS, EPSILON, MIN_VALUE}; |
| pub use core::f32::{MIN_POS_VALUE, MAX_VALUE, MIN_EXP, MAX_EXP, MIN_10_EXP}; |
| pub use core::f32::{MAX_10_EXP, NAN, INFINITY, NEG_INFINITY}; |
| pub use core::f32::consts; |
| |
| #[allow(dead_code)] |
| mod cmath { |
| use libc::{c_float, c_int}; |
| |
| #[link_name = "m"] |
| extern { |
| pub fn acosf(n: c_float) -> c_float; |
| pub fn asinf(n: c_float) -> c_float; |
| pub fn atanf(n: c_float) -> c_float; |
| pub fn atan2f(a: c_float, b: c_float) -> c_float; |
| pub fn cbrtf(n: c_float) -> c_float; |
| pub fn coshf(n: c_float) -> c_float; |
| pub fn erff(n: c_float) -> c_float; |
| pub fn erfcf(n: c_float) -> c_float; |
| pub fn expm1f(n: c_float) -> c_float; |
| pub fn fdimf(a: c_float, b: c_float) -> c_float; |
| pub fn frexpf(n: c_float, value: &mut c_int) -> c_float; |
| pub fn fmaxf(a: c_float, b: c_float) -> c_float; |
| pub fn fminf(a: c_float, b: c_float) -> c_float; |
| pub fn fmodf(a: c_float, b: c_float) -> c_float; |
| pub fn nextafterf(x: c_float, y: c_float) -> c_float; |
| pub fn hypotf(x: c_float, y: c_float) -> c_float; |
| pub fn ldexpf(x: c_float, n: c_int) -> c_float; |
| pub fn logbf(n: c_float) -> c_float; |
| pub fn log1pf(n: c_float) -> c_float; |
| pub fn ilogbf(n: c_float) -> c_int; |
| pub fn modff(n: c_float, iptr: &mut c_float) -> c_float; |
| pub fn sinhf(n: c_float) -> c_float; |
| pub fn tanf(n: c_float) -> c_float; |
| pub fn tanhf(n: c_float) -> c_float; |
| pub fn tgammaf(n: c_float) -> c_float; |
| |
| #[cfg(unix)] |
| pub fn lgammaf_r(n: c_float, sign: &mut c_int) -> c_float; |
| |
| #[cfg(windows)] |
| #[link_name="__lgammaf_r"] |
| pub fn lgammaf_r(n: c_float, sign: &mut c_int) -> c_float; |
| } |
| } |
| |
| #[stable] |
| impl Float for f32 { |
| #[inline] |
| fn nan() -> f32 { num::Float::nan() } |
| #[inline] |
| fn infinity() -> f32 { num::Float::infinity() } |
| #[inline] |
| fn neg_infinity() -> f32 { num::Float::neg_infinity() } |
| #[inline] |
| fn zero() -> f32 { num::Float::zero() } |
| #[inline] |
| fn neg_zero() -> f32 { num::Float::neg_zero() } |
| #[inline] |
| fn one() -> f32 { num::Float::one() } |
| |
| #[allow(deprecated)] |
| #[inline] |
| fn mantissa_digits(unused_self: Option<f32>) -> uint { |
| num::Float::mantissa_digits(unused_self) |
| } |
| #[allow(deprecated)] |
| #[inline] |
| fn digits(unused_self: Option<f32>) -> uint { num::Float::digits(unused_self) } |
| #[allow(deprecated)] |
| #[inline] |
| fn epsilon() -> f32 { num::Float::epsilon() } |
| #[allow(deprecated)] |
| #[inline] |
| fn min_exp(unused_self: Option<f32>) -> int { num::Float::min_exp(unused_self) } |
| #[allow(deprecated)] |
| #[inline] |
| fn max_exp(unused_self: Option<f32>) -> int { num::Float::max_exp(unused_self) } |
| #[allow(deprecated)] |
| #[inline] |
| fn min_10_exp(unused_self: Option<f32>) -> int { num::Float::min_10_exp(unused_self) } |
| #[allow(deprecated)] |
| #[inline] |
| fn max_10_exp(unused_self: Option<f32>) -> int { num::Float::max_10_exp(unused_self) } |
| #[allow(deprecated)] |
| #[inline] |
| fn min_value() -> f32 { num::Float::min_value() } |
| #[allow(deprecated)] |
| #[inline] |
| fn min_pos_value(unused_self: Option<f32>) -> f32 { num::Float::min_pos_value(unused_self) } |
| #[allow(deprecated)] |
| #[inline] |
| fn max_value() -> f32 { num::Float::max_value() } |
| |
| #[inline] |
| fn is_nan(self) -> bool { num::Float::is_nan(self) } |
| #[inline] |
| fn is_infinite(self) -> bool { num::Float::is_infinite(self) } |
| #[inline] |
| fn is_finite(self) -> bool { num::Float::is_finite(self) } |
| #[inline] |
| fn is_normal(self) -> bool { num::Float::is_normal(self) } |
| #[inline] |
| fn classify(self) -> FpCategory { num::Float::classify(self) } |
| |
| #[inline] |
| fn integer_decode(self) -> (u64, i16, i8) { num::Float::integer_decode(self) } |
| |
| #[inline] |
| fn floor(self) -> f32 { num::Float::floor(self) } |
| #[inline] |
| fn ceil(self) -> f32 { num::Float::ceil(self) } |
| #[inline] |
| fn round(self) -> f32 { num::Float::round(self) } |
| #[inline] |
| fn trunc(self) -> f32 { num::Float::trunc(self) } |
| #[inline] |
| fn fract(self) -> f32 { num::Float::fract(self) } |
| |
| #[inline] |
| fn abs(self) -> f32 { num::Float::abs(self) } |
| #[inline] |
| fn signum(self) -> f32 { num::Float::signum(self) } |
| #[inline] |
| fn is_positive(self) -> bool { num::Float::is_positive(self) } |
| #[inline] |
| fn is_negative(self) -> bool { num::Float::is_negative(self) } |
| |
| #[inline] |
| fn mul_add(self, a: f32, b: f32) -> f32 { num::Float::mul_add(self, a, b) } |
| #[inline] |
| fn recip(self) -> f32 { num::Float::recip(self) } |
| |
| #[inline] |
| fn powi(self, n: i32) -> f32 { num::Float::powi(self, n) } |
| #[inline] |
| fn powf(self, n: f32) -> f32 { num::Float::powf(self, n) } |
| |
| #[inline] |
| fn sqrt(self) -> f32 { num::Float::sqrt(self) } |
| #[inline] |
| fn rsqrt(self) -> f32 { num::Float::rsqrt(self) } |
| |
| #[inline] |
| fn exp(self) -> f32 { num::Float::exp(self) } |
| #[inline] |
| fn exp2(self) -> f32 { num::Float::exp(self) } |
| #[inline] |
| fn ln(self) -> f32 { num::Float::ln(self) } |
| #[inline] |
| fn log(self, base: f32) -> f32 { num::Float::log(self, base) } |
| #[inline] |
| fn log2(self) -> f32 { num::Float::log2(self) } |
| #[inline] |
| fn log10(self) -> f32 { num::Float::log10(self) } |
| #[inline] |
| fn to_degrees(self) -> f32 { num::Float::to_degrees(self) } |
| #[inline] |
| fn to_radians(self) -> f32 { num::Float::to_radians(self) } |
| |
| /// Constructs a floating point number by multiplying `x` by 2 raised to the |
| /// power of `exp` |
| #[inline] |
| fn ldexp(x: f32, exp: int) -> f32 { |
| unsafe { cmath::ldexpf(x, exp as c_int) } |
| } |
| |
| /// 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) -> (f32, int) { |
| unsafe { |
| let mut exp = 0; |
| let x = cmath::frexpf(self, &mut exp); |
| (x, exp as int) |
| } |
| } |
| |
| /// Returns the next representable floating-point value in the direction of |
| /// `other`. |
| #[inline] |
| fn next_after(self, other: f32) -> f32 { |
| unsafe { cmath::nextafterf(self, other) } |
| } |
| |
| #[inline] |
| fn max(self, other: f32) -> f32 { |
| unsafe { cmath::fmaxf(self, other) } |
| } |
| |
| #[inline] |
| fn min(self, other: f32) -> f32 { |
| unsafe { cmath::fminf(self, other) } |
| } |
| |
| #[inline] |
| fn abs_sub(self, other: f32) -> f32 { |
| unsafe { cmath::fdimf(self, other) } |
| } |
| |
| #[inline] |
| fn cbrt(self) -> f32 { |
| unsafe { cmath::cbrtf(self) } |
| } |
| |
| #[inline] |
| fn hypot(self, other: f32) -> f32 { |
| unsafe { cmath::hypotf(self, other) } |
| } |
| |
| #[inline] |
| fn sin(self) -> f32 { |
| unsafe { intrinsics::sinf32(self) } |
| } |
| |
| #[inline] |
| fn cos(self) -> f32 { |
| unsafe { intrinsics::cosf32(self) } |
| } |
| |
| #[inline] |
| fn tan(self) -> f32 { |
| unsafe { cmath::tanf(self) } |
| } |
| |
| #[inline] |
| fn asin(self) -> f32 { |
| unsafe { cmath::asinf(self) } |
| } |
| |
| #[inline] |
| fn acos(self) -> f32 { |
| unsafe { cmath::acosf(self) } |
| } |
| |
| #[inline] |
| fn atan(self) -> f32 { |
| unsafe { cmath::atanf(self) } |
| } |
| |
| #[inline] |
| fn atan2(self, other: f32) -> f32 { |
| unsafe { cmath::atan2f(self, other) } |
| } |
| |
| /// Simultaneously computes the sine and cosine of the number |
| #[inline] |
| fn sin_cos(self) -> (f32, f32) { |
| (self.sin(), self.cos()) |
| } |
| |
| /// 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) -> f32 { |
| unsafe { cmath::expm1f(self) } |
| } |
| |
| /// 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) -> f32 { |
| unsafe { cmath::log1pf(self) } |
| } |
| |
| #[inline] |
| fn sinh(self) -> f32 { |
| unsafe { cmath::sinhf(self) } |
| } |
| |
| #[inline] |
| fn cosh(self) -> f32 { |
| unsafe { cmath::coshf(self) } |
| } |
| |
| #[inline] |
| fn tanh(self) -> f32 { |
| unsafe { cmath::tanhf(self) } |
| } |
| |
| /// 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) -> f32 { |
| match self { |
| NEG_INFINITY => NEG_INFINITY, |
| x => (x + ((x * x) + 1.0).sqrt()).ln(), |
| } |
| } |
| |
| /// 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) -> f32 { |
| match self { |
| x if x < 1.0 => Float::nan(), |
| x => (x + ((x * x) - 1.0).sqrt()).ln(), |
| } |
| } |
| |
| /// 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) -> f32 { |
| 0.5 * ((2.0 * self) / (1.0 - self)).ln_1p() |
| } |
| } |
| |
| // |
| // Section: String Conversions |
| // |
| |
| /// Converts a float to a string |
| /// |
| /// # Arguments |
| /// |
| /// * num - The float value |
| #[inline] |
| #[unstable = "may be removed or relocated"] |
| pub fn to_string(num: f32) -> String { |
| let (r, _) = strconv::float_to_str_common( |
| num, 10u, true, SignNeg, DigAll, ExpNone, false); |
| r |
| } |
| |
| /// Converts a float to a string in hexadecimal format |
| /// |
| /// # Arguments |
| /// |
| /// * num - The float value |
| #[inline] |
| #[unstable = "may be removed or relocated"] |
| pub fn to_str_hex(num: f32) -> String { |
| let (r, _) = strconv::float_to_str_common( |
| num, 16u, true, SignNeg, DigAll, ExpNone, false); |
| 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] |
| #[unstable = "may be removed or relocated"] |
| pub fn to_str_radix_special(num: f32, rdx: uint) -> (String, bool) { |
| strconv::float_to_str_common(num, rdx, true, SignNeg, DigAll, ExpNone, false) |
| } |
| |
| /// 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] |
| #[unstable = "may be removed or relocated"] |
| pub fn to_str_exact(num: f32, dig: uint) -> String { |
| let (r, _) = strconv::float_to_str_common( |
| num, 10u, true, SignNeg, DigExact(dig), ExpNone, false); |
| 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] |
| #[unstable = "may be removed or relocated"] |
| pub fn to_str_digits(num: f32, dig: uint) -> String { |
| let (r, _) = strconv::float_to_str_common( |
| num, 10u, true, SignNeg, DigMax(dig), ExpNone, false); |
| r |
| } |
| |
| /// Converts a float to a string using the exponential notation with exactly the number of |
| /// provided digits after the decimal point in the significand |
| /// |
| /// # Arguments |
| /// |
| /// * num - The float value |
| /// * digits - The number of digits after the decimal point |
| /// * upper - Use `E` instead of `e` for the exponent sign |
| #[inline] |
| #[unstable = "may be removed or relocated"] |
| pub fn to_str_exp_exact(num: f32, dig: uint, upper: bool) -> String { |
| let (r, _) = strconv::float_to_str_common( |
| num, 10u, true, SignNeg, DigExact(dig), ExpDec, upper); |
| r |
| } |
| |
| /// Converts a float to a string using the exponential notation with the maximum number of |
| /// digits after the decimal point in the significand |
| /// |
| /// # Arguments |
| /// |
| /// * num - The float value |
| /// * digits - The number of digits after the decimal point |
| /// * upper - Use `E` instead of `e` for the exponent sign |
| #[inline] |
| #[unstable = "may be removed or relocated"] |
| pub fn to_str_exp_digits(num: f32, dig: uint, upper: bool) -> String { |
| let (r, _) = strconv::float_to_str_common( |
| num, 10u, true, SignNeg, DigMax(dig), ExpDec, upper); |
| r |
| } |
| |
| #[cfg(test)] |
| mod tests { |
| use f32::*; |
| use num::*; |
| use num::FpCategory as Fp; |
| |
| #[test] |
| fn test_min_nan() { |
| assert_eq!(NAN.min(2.0), 2.0); |
| assert_eq!(2.0f32.min(NAN), 2.0); |
| } |
| |
| #[test] |
| fn test_max_nan() { |
| assert_eq!(NAN.max(2.0), 2.0); |
| assert_eq!(2.0f32.max(NAN), 2.0); |
| } |
| |
| #[test] |
| fn test_num_f32() { |
| test_num(10f32, 2f32); |
| } |
| |
| #[test] |
| fn test_floor() { |
| assert_approx_eq!(1.0f32.floor(), 1.0f32); |
| assert_approx_eq!(1.3f32.floor(), 1.0f32); |
| assert_approx_eq!(1.5f32.floor(), 1.0f32); |
| assert_approx_eq!(1.7f32.floor(), 1.0f32); |
| assert_approx_eq!(0.0f32.floor(), 0.0f32); |
| assert_approx_eq!((-0.0f32).floor(), -0.0f32); |
| assert_approx_eq!((-1.0f32).floor(), -1.0f32); |
| assert_approx_eq!((-1.3f32).floor(), -2.0f32); |
| assert_approx_eq!((-1.5f32).floor(), -2.0f32); |
| assert_approx_eq!((-1.7f32).floor(), -2.0f32); |
| } |
| |
| #[test] |
| fn test_ceil() { |
| assert_approx_eq!(1.0f32.ceil(), 1.0f32); |
| assert_approx_eq!(1.3f32.ceil(), 2.0f32); |
| assert_approx_eq!(1.5f32.ceil(), 2.0f32); |
| assert_approx_eq!(1.7f32.ceil(), 2.0f32); |
| assert_approx_eq!(0.0f32.ceil(), 0.0f32); |
| assert_approx_eq!((-0.0f32).ceil(), -0.0f32); |
| assert_approx_eq!((-1.0f32).ceil(), -1.0f32); |
| assert_approx_eq!((-1.3f32).ceil(), -1.0f32); |
| assert_approx_eq!((-1.5f32).ceil(), -1.0f32); |
| assert_approx_eq!((-1.7f32).ceil(), -1.0f32); |
| } |
| |
| #[test] |
| fn test_round() { |
| assert_approx_eq!(1.0f32.round(), 1.0f32); |
| assert_approx_eq!(1.3f32.round(), 1.0f32); |
| assert_approx_eq!(1.5f32.round(), 2.0f32); |
| assert_approx_eq!(1.7f32.round(), 2.0f32); |
| assert_approx_eq!(0.0f32.round(), 0.0f32); |
| assert_approx_eq!((-0.0f32).round(), -0.0f32); |
| assert_approx_eq!((-1.0f32).round(), -1.0f32); |
| assert_approx_eq!((-1.3f32).round(), -1.0f32); |
| assert_approx_eq!((-1.5f32).round(), -2.0f32); |
| assert_approx_eq!((-1.7f32).round(), -2.0f32); |
| } |
| |
| #[test] |
| fn test_trunc() { |
| assert_approx_eq!(1.0f32.trunc(), 1.0f32); |
| assert_approx_eq!(1.3f32.trunc(), 1.0f32); |
| assert_approx_eq!(1.5f32.trunc(), 1.0f32); |
| assert_approx_eq!(1.7f32.trunc(), 1.0f32); |
| assert_approx_eq!(0.0f32.trunc(), 0.0f32); |
| assert_approx_eq!((-0.0f32).trunc(), -0.0f32); |
| assert_approx_eq!((-1.0f32).trunc(), -1.0f32); |
| assert_approx_eq!((-1.3f32).trunc(), -1.0f32); |
| assert_approx_eq!((-1.5f32).trunc(), -1.0f32); |
| assert_approx_eq!((-1.7f32).trunc(), -1.0f32); |
| } |
| |
| #[test] |
| fn test_fract() { |
| assert_approx_eq!(1.0f32.fract(), 0.0f32); |
| assert_approx_eq!(1.3f32.fract(), 0.3f32); |
| assert_approx_eq!(1.5f32.fract(), 0.5f32); |
| assert_approx_eq!(1.7f32.fract(), 0.7f32); |
| assert_approx_eq!(0.0f32.fract(), 0.0f32); |
| assert_approx_eq!((-0.0f32).fract(), -0.0f32); |
| assert_approx_eq!((-1.0f32).fract(), -0.0f32); |
| assert_approx_eq!((-1.3f32).fract(), -0.3f32); |
| assert_approx_eq!((-1.5f32).fract(), -0.5f32); |
| assert_approx_eq!((-1.7f32).fract(), -0.7f32); |
| } |
| |
| #[test] |
| fn test_asinh() { |
| assert_eq!(0.0f32.asinh(), 0.0f32); |
| assert_eq!((-0.0f32).asinh(), -0.0f32); |
| |
| let inf: f32 = Float::infinity(); |
| let neg_inf: f32 = Float::neg_infinity(); |
| let nan: f32 = Float::nan(); |
| assert_eq!(inf.asinh(), inf); |
| assert_eq!(neg_inf.asinh(), neg_inf); |
| assert!(nan.asinh().is_nan()); |
| assert_approx_eq!(2.0f32.asinh(), 1.443635475178810342493276740273105f32); |
| assert_approx_eq!((-2.0f32).asinh(), -1.443635475178810342493276740273105f32); |
| } |
| |
| #[test] |
| fn test_acosh() { |
| assert_eq!(1.0f32.acosh(), 0.0f32); |
| assert!(0.999f32.acosh().is_nan()); |
| |
| let inf: f32 = Float::infinity(); |
| let neg_inf: f32 = Float::neg_infinity(); |
| let nan: f32 = Float::nan(); |
| assert_eq!(inf.acosh(), inf); |
| assert!(neg_inf.acosh().is_nan()); |
| assert!(nan.acosh().is_nan()); |
| assert_approx_eq!(2.0f32.acosh(), 1.31695789692481670862504634730796844f32); |
| assert_approx_eq!(3.0f32.acosh(), 1.76274717403908605046521864995958461f32); |
| } |
| |
| #[test] |
| fn test_atanh() { |
| assert_eq!(0.0f32.atanh(), 0.0f32); |
| assert_eq!((-0.0f32).atanh(), -0.0f32); |
| |
| let inf32: f32 = Float::infinity(); |
| let neg_inf32: f32 = Float::neg_infinity(); |
| assert_eq!(1.0f32.atanh(), inf32); |
| assert_eq!((-1.0f32).atanh(), neg_inf32); |
| |
| assert!(2f64.atanh().atanh().is_nan()); |
| assert!((-2f64).atanh().atanh().is_nan()); |
| |
| let inf64: f32 = Float::infinity(); |
| let neg_inf64: f32 = Float::neg_infinity(); |
| let nan32: f32 = Float::nan(); |
| assert!(inf64.atanh().is_nan()); |
| assert!(neg_inf64.atanh().is_nan()); |
| assert!(nan32.atanh().is_nan()); |
| |
| assert_approx_eq!(0.5f32.atanh(), 0.54930614433405484569762261846126285f32); |
| assert_approx_eq!((-0.5f32).atanh(), -0.54930614433405484569762261846126285f32); |
| } |
| |
| #[test] |
| fn test_real_consts() { |
| use super::consts; |
| |
| let pi: f32 = consts::PI; |
| let two_pi: f32 = consts::PI_2; |
| let frac_pi_2: f32 = consts::FRAC_PI_2; |
| let frac_pi_3: f32 = consts::FRAC_PI_3; |
| let frac_pi_4: f32 = consts::FRAC_PI_4; |
| let frac_pi_6: f32 = consts::FRAC_PI_6; |
| let frac_pi_8: f32 = consts::FRAC_PI_8; |
| let frac_1_pi: f32 = consts::FRAC_1_PI; |
| let frac_2_pi: f32 = consts::FRAC_2_PI; |
| let frac_2_sqrtpi: f32 = consts::FRAC_2_SQRTPI; |
| let sqrt2: f32 = consts::SQRT2; |
| let frac_1_sqrt2: f32 = consts::FRAC_1_SQRT2; |
| let e: f32 = consts::E; |
| let log2_e: f32 = consts::LOG2_E; |
| let log10_e: f32 = consts::LOG10_E; |
| let ln_2: f32 = consts::LN_2; |
| let ln_10: f32 = consts::LN_10; |
| |
| assert_approx_eq!(two_pi, 2f32 * pi); |
| assert_approx_eq!(frac_pi_2, pi / 2f32); |
| assert_approx_eq!(frac_pi_3, pi / 3f32); |
| assert_approx_eq!(frac_pi_4, pi / 4f32); |
| assert_approx_eq!(frac_pi_6, pi / 6f32); |
| assert_approx_eq!(frac_pi_8, pi / 8f32); |
| assert_approx_eq!(frac_1_pi, 1f32 / pi); |
| assert_approx_eq!(frac_2_pi, 2f32 / pi); |
| assert_approx_eq!(frac_2_sqrtpi, 2f32 / pi.sqrt()); |
| assert_approx_eq!(sqrt2, 2f32.sqrt()); |
| assert_approx_eq!(frac_1_sqrt2, 1f32 / 2f32.sqrt()); |
| assert_approx_eq!(log2_e, e.log2()); |
| assert_approx_eq!(log10_e, e.log10()); |
| assert_approx_eq!(ln_2, 2f32.ln()); |
| assert_approx_eq!(ln_10, 10f32.ln()); |
| } |
| |
| #[test] |
| pub fn test_abs() { |
| assert_eq!(INFINITY.abs(), INFINITY); |
| assert_eq!(1f32.abs(), 1f32); |
| assert_eq!(0f32.abs(), 0f32); |
| assert_eq!((-0f32).abs(), 0f32); |
| assert_eq!((-1f32).abs(), 1f32); |
| assert_eq!(NEG_INFINITY.abs(), INFINITY); |
| assert_eq!((1f32/NEG_INFINITY).abs(), 0f32); |
| assert!(NAN.abs().is_nan()); |
| } |
| |
| #[test] |
| fn test_abs_sub() { |
| assert_eq!((-1f32).abs_sub(1f32), 0f32); |
| assert_eq!(1f32.abs_sub(1f32), 0f32); |
| assert_eq!(1f32.abs_sub(0f32), 1f32); |
| assert_eq!(1f32.abs_sub(-1f32), 2f32); |
| assert_eq!(NEG_INFINITY.abs_sub(0f32), 0f32); |
| assert_eq!(INFINITY.abs_sub(1f32), INFINITY); |
| assert_eq!(0f32.abs_sub(NEG_INFINITY), INFINITY); |
| assert_eq!(0f32.abs_sub(INFINITY), 0f32); |
| } |
| |
| #[test] |
| fn test_abs_sub_nowin() { |
| assert!(NAN.abs_sub(-1f32).is_nan()); |
| assert!(1f32.abs_sub(NAN).is_nan()); |
| } |
| |
| #[test] |
| fn test_signum() { |
| assert_eq!(INFINITY.signum(), 1f32); |
| assert_eq!(1f32.signum(), 1f32); |
| assert_eq!(0f32.signum(), 1f32); |
| assert_eq!((-0f32).signum(), -1f32); |
| assert_eq!((-1f32).signum(), -1f32); |
| assert_eq!(NEG_INFINITY.signum(), -1f32); |
| assert_eq!((1f32/NEG_INFINITY).signum(), -1f32); |
| assert!(NAN.signum().is_nan()); |
| } |
| |
| #[test] |
| fn test_is_positive() { |
| assert!(INFINITY.is_positive()); |
| assert!(1f32.is_positive()); |
| assert!(0f32.is_positive()); |
| assert!(!(-0f32).is_positive()); |
| assert!(!(-1f32).is_positive()); |
| assert!(!NEG_INFINITY.is_positive()); |
| assert!(!(1f32/NEG_INFINITY).is_positive()); |
| assert!(!NAN.is_positive()); |
| } |
| |
| #[test] |
| fn test_is_negative() { |
| assert!(!INFINITY.is_negative()); |
| assert!(!1f32.is_negative()); |
| assert!(!0f32.is_negative()); |
| assert!((-0f32).is_negative()); |
| assert!((-1f32).is_negative()); |
| assert!(NEG_INFINITY.is_negative()); |
| assert!((1f32/NEG_INFINITY).is_negative()); |
| assert!(!NAN.is_negative()); |
| } |
| |
| #[test] |
| fn test_is_normal() { |
| let nan: f32 = Float::nan(); |
| let inf: f32 = Float::infinity(); |
| let neg_inf: f32 = Float::neg_infinity(); |
| let zero: f32 = Float::zero(); |
| let neg_zero: f32 = 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!(1f32.is_normal()); |
| assert!(1e-37f32.is_normal()); |
| assert!(!1e-38f32.is_normal()); |
| } |
| |
| #[test] |
| fn test_classify() { |
| let nan: f32 = Float::nan(); |
| let inf: f32 = Float::infinity(); |
| let neg_inf: f32 = Float::neg_infinity(); |
| let zero: f32 = Float::zero(); |
| let neg_zero: f32 = Float::neg_zero(); |
| 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!(1f32.classify(), Fp::Normal); |
| assert_eq!(1e-37f32.classify(), Fp::Normal); |
| assert_eq!(1e-38f32.classify(), Fp::Subnormal); |
| } |
| |
| #[test] |
| fn test_ldexp() { |
| // We have to use from_str until base-2 exponents |
| // are supported in floating-point literals |
| let f1: f32 = FromStrRadix::from_str_radix("1p-123", 16).unwrap(); |
| let f2: f32 = FromStrRadix::from_str_radix("1p-111", 16).unwrap(); |
| assert_eq!(Float::ldexp(1f32, -123), f1); |
| assert_eq!(Float::ldexp(1f32, -111), f2); |
| |
| assert_eq!(Float::ldexp(0f32, -123), 0f32); |
| assert_eq!(Float::ldexp(-0f32, -123), -0f32); |
| |
| let inf: f32 = Float::infinity(); |
| let neg_inf: f32 = Float::neg_infinity(); |
| let nan: f32 = 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: f32 = FromStrRadix::from_str_radix("1p-123", 16).unwrap(); |
| let f2: f32 = FromStrRadix::from_str_radix("1p-111", 16).unwrap(); |
| let (x1, exp1) = f1.frexp(); |
| let (x2, exp2) = f2.frexp(); |
| assert_eq!((x1, exp1), (0.5f32, -122)); |
| assert_eq!((x2, exp2), (0.5f32, -110)); |
| assert_eq!(Float::ldexp(x1, exp1), f1); |
| assert_eq!(Float::ldexp(x2, exp2), f2); |
| |
| assert_eq!(0f32.frexp(), (0f32, 0)); |
| assert_eq!((-0f32).frexp(), (-0f32, 0)); |
| } |
| |
| #[test] #[cfg_attr(windows, ignore)] // FIXME #8755 |
| fn test_frexp_nowin() { |
| let inf: f32 = Float::infinity(); |
| let neg_inf: f32 = Float::neg_infinity(); |
| let nan: f32 = 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] |
| fn test_integer_decode() { |
| assert_eq!(3.14159265359f32.integer_decode(), (13176795u64, -22i16, 1i8)); |
| assert_eq!((-8573.5918555f32).integer_decode(), (8779358u64, -10i16, -1i8)); |
| assert_eq!(2f32.powf(100.0).integer_decode(), (8388608u64, 77i16, 1i8)); |
| assert_eq!(0f32.integer_decode(), (0u64, -150i16, 1i8)); |
| assert_eq!((-0f32).integer_decode(), (0u64, -150i16, -1i8)); |
| assert_eq!(INFINITY.integer_decode(), (8388608u64, 105i16, 1i8)); |
| assert_eq!(NEG_INFINITY.integer_decode(), (8388608u64, 105i16, -1i8)); |
| assert_eq!(NAN.integer_decode(), (12582912u64, 105i16, 1i8)); |
| } |
| |
| #[test] |
| fn test_sqrt_domain() { |
| assert!(NAN.sqrt().is_nan()); |
| assert!(NEG_INFINITY.sqrt().is_nan()); |
| assert!((-1.0f32).sqrt().is_nan()); |
| assert_eq!((-0.0f32).sqrt(), -0.0); |
| assert_eq!(0.0f32.sqrt(), 0.0); |
| assert_eq!(1.0f32.sqrt(), 1.0); |
| assert_eq!(INFINITY.sqrt(), INFINITY); |
| } |
| } |
