0232fed174
The methods contained in `std::num::{Algebraic, Trigonometric, Exponential, Hyperbolic}` have now been moved into `std::num::Real`. This is part of an ongoing effort to simplify `std::num` (see issue #10387).
`std::num::RealExt` has also been removed from the prelude because it is not a commonly used trait.
1297 lines
38 KiB
Rust
1297 lines
38 KiB
Rust
// Copyright 2012 The Rust Project Developers. See the COPYRIGHT
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// file at the top-level directory of this distribution and at
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// http://rust-lang.org/COPYRIGHT.
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//
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// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
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// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
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// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
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// option. This file may not be copied, modified, or distributed
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// except according to those terms.
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//! Operations and constants for 32-bits floats (`f32` type)
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#[allow(missing_doc)];
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use prelude::*;
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use cmath::c_float_utils;
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use default::Default;
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use libc::{c_float, c_int};
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use num::{FPCategory, FPNaN, FPInfinite , FPZero, FPSubnormal, FPNormal};
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use num::{Zero, One, strconv};
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use num;
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use to_str;
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use unstable::intrinsics;
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pub use cmath::c_float_targ_consts::*;
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macro_rules! delegate(
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(
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$(
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fn $name:ident(
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$(
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$arg:ident : $arg_ty:ty
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),*
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) -> $rv:ty = $bound_name:path
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),*
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) => (
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$(
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#[inline]
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pub fn $name($( $arg : $arg_ty ),*) -> $rv {
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unsafe {
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$bound_name($( $arg ),*)
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}
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}
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)*
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)
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)
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delegate!(
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// intrinsics
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fn abs(n: f32) -> f32 = intrinsics::fabsf32,
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fn cos(n: f32) -> f32 = intrinsics::cosf32,
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fn exp(n: f32) -> f32 = intrinsics::expf32,
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fn exp2(n: f32) -> f32 = intrinsics::exp2f32,
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fn floor(x: f32) -> f32 = intrinsics::floorf32,
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fn ln(n: f32) -> f32 = intrinsics::logf32,
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fn log10(n: f32) -> f32 = intrinsics::log10f32,
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fn log2(n: f32) -> f32 = intrinsics::log2f32,
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fn mul_add(a: f32, b: f32, c: f32) -> f32 = intrinsics::fmaf32,
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fn pow(n: f32, e: f32) -> f32 = intrinsics::powf32,
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// fn powi(n: f32, e: c_int) -> f32 = intrinsics::powif32,
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fn sin(n: f32) -> f32 = intrinsics::sinf32,
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fn sqrt(n: f32) -> f32 = intrinsics::sqrtf32,
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// LLVM 3.3 required to use intrinsics for these four
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fn ceil(n: c_float) -> c_float = c_float_utils::ceil,
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fn trunc(n: c_float) -> c_float = c_float_utils::trunc,
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/*
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fn ceil(n: f32) -> f32 = intrinsics::ceilf32,
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fn trunc(n: f32) -> f32 = intrinsics::truncf32,
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fn rint(n: f32) -> f32 = intrinsics::rintf32,
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fn nearbyint(n: f32) -> f32 = intrinsics::nearbyintf32,
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*/
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// cmath
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fn acos(n: c_float) -> c_float = c_float_utils::acos,
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fn asin(n: c_float) -> c_float = c_float_utils::asin,
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fn atan(n: c_float) -> c_float = c_float_utils::atan,
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fn atan2(a: c_float, b: c_float) -> c_float = c_float_utils::atan2,
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fn cbrt(n: c_float) -> c_float = c_float_utils::cbrt,
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fn copysign(x: c_float, y: c_float) -> c_float = c_float_utils::copysign,
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fn cosh(n: c_float) -> c_float = c_float_utils::cosh,
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// fn erf(n: c_float) -> c_float = c_float_utils::erf,
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// fn erfc(n: c_float) -> c_float = c_float_utils::erfc,
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fn exp_m1(n: c_float) -> c_float = c_float_utils::exp_m1,
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fn abs_sub(a: c_float, b: c_float) -> c_float = c_float_utils::abs_sub,
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fn next_after(x: c_float, y: c_float) -> c_float = c_float_utils::next_after,
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fn frexp(n: c_float, value: &mut c_int) -> c_float = c_float_utils::frexp,
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fn hypot(x: c_float, y: c_float) -> c_float = c_float_utils::hypot,
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fn ldexp(x: c_float, n: c_int) -> c_float = c_float_utils::ldexp,
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// fn lgamma(n: c_float, sign: &mut c_int) -> c_float = c_float_utils::lgamma,
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// fn log_radix(n: c_float) -> c_float = c_float_utils::log_radix,
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fn ln_1p(n: c_float) -> c_float = c_float_utils::ln_1p,
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// fn ilog_radix(n: c_float) -> c_int = c_float_utils::ilog_radix,
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// fn modf(n: c_float, iptr: &mut c_float) -> c_float = c_float_utils::modf,
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fn round(n: c_float) -> c_float = c_float_utils::round,
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// fn ldexp_radix(n: c_float, i: c_int) -> c_float = c_float_utils::ldexp_radix,
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fn sinh(n: c_float) -> c_float = c_float_utils::sinh,
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fn tan(n: c_float) -> c_float = c_float_utils::tan,
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fn tanh(n: c_float) -> c_float = c_float_utils::tanh
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// fn tgamma(n: c_float) -> c_float = c_float_utils::tgamma
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)
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// These are not defined inside consts:: for consistency with
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// the integer types
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pub static NAN: f32 = 0.0_f32/0.0_f32;
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pub static INFINITY: f32 = 1.0_f32/0.0_f32;
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pub static NEG_INFINITY: f32 = -1.0_f32/0.0_f32;
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// FIXME (#1999): replace the predicates below with llvm intrinsics or
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// calls to the libmath macros in the rust runtime for performance.
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// FIXME (#1999): add is_normal, is_subnormal, and fpclassify.
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/* Module: consts */
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pub mod consts {
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// FIXME (requires Issue #1433 to fix): replace with mathematical
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// staticants from cmath.
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/// Archimedes' constant
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pub static PI: f32 = 3.14159265358979323846264338327950288_f32;
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/// pi/2.0
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pub static FRAC_PI_2: f32 = 1.57079632679489661923132169163975144_f32;
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/// pi/4.0
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pub static FRAC_PI_4: f32 = 0.785398163397448309615660845819875721_f32;
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/// 1.0/pi
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pub static FRAC_1_PI: f32 = 0.318309886183790671537767526745028724_f32;
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/// 2.0/pi
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pub static FRAC_2_PI: f32 = 0.636619772367581343075535053490057448_f32;
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/// 2.0/sqrt(pi)
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pub static FRAC_2_SQRTPI: f32 = 1.12837916709551257389615890312154517_f32;
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/// sqrt(2.0)
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pub static SQRT2: f32 = 1.41421356237309504880168872420969808_f32;
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/// 1.0/sqrt(2.0)
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pub static FRAC_1_SQRT2: f32 = 0.707106781186547524400844362104849039_f32;
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/// Euler's number
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pub static E: f32 = 2.71828182845904523536028747135266250_f32;
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/// log2(e)
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pub static LOG2_E: f32 = 1.44269504088896340735992468100189214_f32;
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/// log10(e)
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pub static LOG10_E: f32 = 0.434294481903251827651128918916605082_f32;
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/// ln(2.0)
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pub static LN_2: f32 = 0.693147180559945309417232121458176568_f32;
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/// ln(10.0)
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pub static LN_10: f32 = 2.30258509299404568401799145468436421_f32;
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}
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impl Num for f32 {}
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#[cfg(not(test))]
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impl Eq for f32 {
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#[inline]
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fn eq(&self, other: &f32) -> bool { (*self) == (*other) }
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}
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#[cfg(not(test))]
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impl ApproxEq<f32> for f32 {
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#[inline]
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fn approx_epsilon() -> f32 { 1.0e-6 }
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#[inline]
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fn approx_eq(&self, other: &f32) -> bool {
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self.approx_eq_eps(other, &1.0e-6)
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}
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#[inline]
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fn approx_eq_eps(&self, other: &f32, approx_epsilon: &f32) -> bool {
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(*self - *other).abs() < *approx_epsilon
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}
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}
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#[cfg(not(test))]
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impl Ord for f32 {
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#[inline]
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fn lt(&self, other: &f32) -> bool { (*self) < (*other) }
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#[inline]
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fn le(&self, other: &f32) -> bool { (*self) <= (*other) }
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#[inline]
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fn ge(&self, other: &f32) -> bool { (*self) >= (*other) }
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#[inline]
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fn gt(&self, other: &f32) -> bool { (*self) > (*other) }
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}
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impl Orderable for f32 {
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/// Returns `NAN` if either of the numbers are `NAN`.
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#[inline]
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fn min(&self, other: &f32) -> f32 {
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match () {
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_ if self.is_nan() => *self,
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_ if other.is_nan() => *other,
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_ if *self < *other => *self,
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_ => *other,
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}
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}
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/// Returns `NAN` if either of the numbers are `NAN`.
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#[inline]
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fn max(&self, other: &f32) -> f32 {
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match () {
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_ if self.is_nan() => *self,
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_ if other.is_nan() => *other,
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_ if *self > *other => *self,
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_ => *other,
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}
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}
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/// Returns the number constrained within the range `mn <= self <= mx`.
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/// If any of the numbers are `NAN` then `NAN` is returned.
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#[inline]
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fn clamp(&self, mn: &f32, mx: &f32) -> f32 {
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match () {
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_ if self.is_nan() => *self,
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_ if !(*self <= *mx) => *mx,
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_ if !(*self >= *mn) => *mn,
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_ => *self,
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}
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}
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}
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impl Default for f32 {
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#[inline]
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fn default() -> f32 { 0.0 }
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}
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impl Zero for f32 {
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#[inline]
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fn zero() -> f32 { 0.0 }
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/// Returns true if the number is equal to either `0.0` or `-0.0`
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#[inline]
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fn is_zero(&self) -> bool { *self == 0.0 || *self == -0.0 }
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}
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impl One for f32 {
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#[inline]
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fn one() -> f32 { 1.0 }
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}
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#[cfg(not(test))]
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impl Add<f32,f32> for f32 {
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#[inline]
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fn add(&self, other: &f32) -> f32 { *self + *other }
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}
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#[cfg(not(test))]
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impl Sub<f32,f32> for f32 {
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#[inline]
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fn sub(&self, other: &f32) -> f32 { *self - *other }
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}
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#[cfg(not(test))]
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impl Mul<f32,f32> for f32 {
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#[inline]
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fn mul(&self, other: &f32) -> f32 { *self * *other }
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}
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#[cfg(not(test))]
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impl Div<f32,f32> for f32 {
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#[inline]
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fn div(&self, other: &f32) -> f32 { *self / *other }
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}
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#[cfg(not(test))]
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impl Rem<f32,f32> for f32 {
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#[inline]
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fn rem(&self, other: &f32) -> f32 { *self % *other }
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}
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#[cfg(not(test))]
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impl Neg<f32> for f32 {
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#[inline]
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fn neg(&self) -> f32 { -*self }
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}
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impl Signed for f32 {
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/// Computes the absolute value. Returns `NAN` if the number is `NAN`.
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#[inline]
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fn abs(&self) -> f32 { abs(*self) }
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///
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/// The positive difference of two numbers. Returns `0.0` if the number is less than or
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/// equal to `other`, otherwise the difference between`self` and `other` is returned.
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///
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#[inline]
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fn abs_sub(&self, other: &f32) -> f32 { abs_sub(*self, *other) }
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///
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/// # Returns
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///
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/// - `1.0` if the number is positive, `+0.0` or `INFINITY`
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/// - `-1.0` if the number is negative, `-0.0` or `NEG_INFINITY`
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/// - `NAN` if the number is NaN
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///
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#[inline]
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fn signum(&self) -> f32 {
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if self.is_nan() { NAN } else { copysign(1.0, *self) }
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}
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/// Returns `true` if the number is positive, including `+0.0` and `INFINITY`
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#[inline]
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fn is_positive(&self) -> bool { *self > 0.0 || (1.0 / *self) == INFINITY }
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/// Returns `true` if the number is negative, including `-0.0` and `NEG_INFINITY`
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#[inline]
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fn is_negative(&self) -> bool { *self < 0.0 || (1.0 / *self) == NEG_INFINITY }
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}
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impl Round for f32 {
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/// Round half-way cases toward `NEG_INFINITY`
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#[inline]
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fn floor(&self) -> f32 { floor(*self) }
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/// Round half-way cases toward `INFINITY`
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#[inline]
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fn ceil(&self) -> f32 { ceil(*self) }
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/// Round half-way cases away from `0.0`
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#[inline]
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fn round(&self) -> f32 { round(*self) }
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/// The integer part of the number (rounds towards `0.0`)
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#[inline]
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fn trunc(&self) -> f32 { trunc(*self) }
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///
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/// The fractional part of the number, satisfying:
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///
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/// ```rust
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/// let x = 1.65f32;
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/// assert!(x == x.trunc() + x.fract())
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/// ```
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///
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#[inline]
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fn fract(&self) -> f32 { *self - self.trunc() }
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}
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impl Real for f32 {
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/// Archimedes' constant
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#[inline]
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fn pi() -> f32 { 3.14159265358979323846264338327950288 }
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/// 2.0 * pi
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#[inline]
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fn two_pi() -> f32 { 6.28318530717958647692528676655900576 }
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/// pi / 2.0
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#[inline]
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fn frac_pi_2() -> f32 { 1.57079632679489661923132169163975144 }
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/// pi / 3.0
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#[inline]
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fn frac_pi_3() -> f32 { 1.04719755119659774615421446109316763 }
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/// pi / 4.0
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#[inline]
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fn frac_pi_4() -> f32 { 0.785398163397448309615660845819875721 }
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/// pi / 6.0
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#[inline]
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fn frac_pi_6() -> f32 { 0.52359877559829887307710723054658381 }
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/// pi / 8.0
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#[inline]
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fn frac_pi_8() -> f32 { 0.39269908169872415480783042290993786 }
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/// 1 .0/ pi
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#[inline]
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fn frac_1_pi() -> f32 { 0.318309886183790671537767526745028724 }
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/// 2.0 / pi
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#[inline]
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fn frac_2_pi() -> f32 { 0.636619772367581343075535053490057448 }
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/// 2.0 / sqrt(pi)
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#[inline]
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fn frac_2_sqrtpi() -> f32 { 1.12837916709551257389615890312154517 }
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/// sqrt(2.0)
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#[inline]
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fn sqrt2() -> f32 { 1.41421356237309504880168872420969808 }
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/// 1.0 / sqrt(2.0)
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#[inline]
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fn frac_1_sqrt2() -> f32 { 0.707106781186547524400844362104849039 }
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/// Euler's number
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#[inline]
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fn e() -> f32 { 2.71828182845904523536028747135266250 }
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/// log2(e)
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#[inline]
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fn log2_e() -> f32 { 1.44269504088896340735992468100189214 }
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/// log10(e)
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#[inline]
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fn log10_e() -> f32 { 0.434294481903251827651128918916605082 }
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/// ln(2.0)
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#[inline]
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fn ln_2() -> f32 { 0.693147180559945309417232121458176568 }
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/// ln(10.0)
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#[inline]
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fn ln_10() -> f32 { 2.30258509299404568401799145468436421 }
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/// The reciprocal (multiplicative inverse) of the number
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#[inline]
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fn recip(&self) -> f32 { 1.0 / *self }
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#[inline]
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fn pow(&self, n: &f32) -> f32 { pow(*self, *n) }
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#[inline]
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fn sqrt(&self) -> f32 { sqrt(*self) }
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#[inline]
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fn rsqrt(&self) -> f32 { self.sqrt().recip() }
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#[inline]
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fn cbrt(&self) -> f32 { cbrt(*self) }
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#[inline]
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fn hypot(&self, other: &f32) -> f32 { hypot(*self, *other) }
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#[inline]
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fn sin(&self) -> f32 { sin(*self) }
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#[inline]
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fn cos(&self) -> f32 { cos(*self) }
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#[inline]
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fn tan(&self) -> f32 { tan(*self) }
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#[inline]
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fn asin(&self) -> f32 { asin(*self) }
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#[inline]
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fn acos(&self) -> f32 { acos(*self) }
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#[inline]
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fn atan(&self) -> f32 { atan(*self) }
|
|
|
|
#[inline]
|
|
fn atan2(&self, other: &f32) -> f32 { atan2(*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
|
|
#[inline]
|
|
fn exp(&self) -> f32 { exp(*self) }
|
|
|
|
/// Returns 2 raised to the power of the number
|
|
#[inline]
|
|
fn exp2(&self) -> f32 { exp2(*self) }
|
|
|
|
/// Returns the natural logarithm of the number
|
|
#[inline]
|
|
fn ln(&self) -> f32 { ln(*self) }
|
|
|
|
/// Returns the logarithm of the number with respect to an arbitrary base
|
|
#[inline]
|
|
fn log(&self, base: &f32) -> f32 { self.ln() / base.ln() }
|
|
|
|
/// Returns the base 2 logarithm of the number
|
|
#[inline]
|
|
fn log2(&self) -> f32 { log2(*self) }
|
|
|
|
/// Returns the base 10 logarithm of the number
|
|
#[inline]
|
|
fn log10(&self) -> f32 { log10(*self) }
|
|
|
|
#[inline]
|
|
fn sinh(&self) -> f32 { sinh(*self) }
|
|
|
|
#[inline]
|
|
fn cosh(&self) -> f32 { cosh(*self) }
|
|
|
|
#[inline]
|
|
fn tanh(&self) -> f32 { tanh(*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()
|
|
}
|
|
|
|
/// Converts to degrees, assuming the number is in radians
|
|
#[inline]
|
|
fn to_degrees(&self) -> f32 { *self * (180.0f32 / Real::pi()) }
|
|
|
|
/// Converts to radians, assuming the number is in degrees
|
|
#[inline]
|
|
fn to_radians(&self) -> f32 {
|
|
let value: f32 = Real::pi();
|
|
*self * (value / 180.0f32)
|
|
}
|
|
}
|
|
|
|
impl Bounded for f32 {
|
|
#[inline]
|
|
fn min_value() -> f32 { 1.17549435e-38 }
|
|
|
|
#[inline]
|
|
fn max_value() -> f32 { 3.40282347e+38 }
|
|
}
|
|
|
|
impl Primitive for f32 {
|
|
#[inline]
|
|
fn bits(_: Option<f32>) -> uint { 32 }
|
|
|
|
#[inline]
|
|
fn bytes(_: Option<f32>) -> uint { Primitive::bits(Some(0f32)) / 8 }
|
|
|
|
#[inline]
|
|
fn is_signed(_: Option<f32>) -> bool { true }
|
|
}
|
|
|
|
impl Float for f32 {
|
|
#[inline]
|
|
fn nan() -> f32 { 0.0 / 0.0 }
|
|
|
|
#[inline]
|
|
fn infinity() -> f32 { 1.0 / 0.0 }
|
|
|
|
#[inline]
|
|
fn neg_infinity() -> f32 { -1.0 / 0.0 }
|
|
|
|
#[inline]
|
|
fn neg_zero() -> f32 { -0.0 }
|
|
|
|
/// Returns `true` if the number is NaN
|
|
#[inline]
|
|
fn is_nan(&self) -> bool { *self != *self }
|
|
|
|
/// Returns `true` if the number is infinite
|
|
#[inline]
|
|
fn is_infinite(&self) -> bool {
|
|
*self == Float::infinity() || *self == Float::neg_infinity()
|
|
}
|
|
|
|
/// Returns `true` if the number is neither infinite or NaN
|
|
#[inline]
|
|
fn is_finite(&self) -> bool {
|
|
!(self.is_nan() || self.is_infinite())
|
|
}
|
|
|
|
/// Returns `true` if the number is neither zero, infinite, subnormal or NaN
|
|
#[inline]
|
|
fn is_normal(&self) -> bool {
|
|
self.classify() == FPNormal
|
|
}
|
|
|
|
/// 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.
|
|
fn classify(&self) -> FPCategory {
|
|
static EXP_MASK: u32 = 0x7f800000;
|
|
static MAN_MASK: u32 = 0x007fffff;
|
|
|
|
match (
|
|
unsafe { ::cast::transmute::<f32,u32>(*self) } & MAN_MASK,
|
|
unsafe { ::cast::transmute::<f32,u32>(*self) } & EXP_MASK,
|
|
) {
|
|
(0, 0) => FPZero,
|
|
(_, 0) => FPSubnormal,
|
|
(0, EXP_MASK) => FPInfinite,
|
|
(_, EXP_MASK) => FPNaN,
|
|
_ => FPNormal,
|
|
}
|
|
}
|
|
|
|
#[inline]
|
|
fn mantissa_digits(_: Option<f32>) -> uint { 24 }
|
|
|
|
#[inline]
|
|
fn digits(_: Option<f32>) -> uint { 6 }
|
|
|
|
#[inline]
|
|
fn epsilon() -> f32 { 1.19209290e-07 }
|
|
|
|
#[inline]
|
|
fn min_exp(_: Option<f32>) -> int { -125 }
|
|
|
|
#[inline]
|
|
fn max_exp(_: Option<f32>) -> int { 128 }
|
|
|
|
#[inline]
|
|
fn min_10_exp(_: Option<f32>) -> int { -37 }
|
|
|
|
#[inline]
|
|
fn max_10_exp(_: Option<f32>) -> int { 38 }
|
|
|
|
/// Constructs a floating point number by multiplying `x` by 2 raised to the power of `exp`
|
|
#[inline]
|
|
fn ldexp(x: f32, exp: int) -> f32 {
|
|
ldexp(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) {
|
|
let mut exp = 0;
|
|
let x = frexp(*self, &mut exp);
|
|
(x, exp as int)
|
|
}
|
|
|
|
///
|
|
/// 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 { exp_m1(*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 { ln_1p(*self) }
|
|
|
|
///
|
|
/// 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: f32, b: f32) -> f32 {
|
|
mul_add(*self, a, b)
|
|
}
|
|
|
|
/// Returns the next representable floating-point value in the direction of `other`
|
|
#[inline]
|
|
fn next_after(&self, other: f32) -> f32 {
|
|
next_after(*self, other)
|
|
}
|
|
|
|
/// Returns the mantissa, exponent and sign as integers.
|
|
fn integer_decode(&self) -> (u64, i16, i8) {
|
|
let bits: u32 = unsafe {
|
|
::cast::transmute(*self)
|
|
};
|
|
let sign: i8 = if bits >> 31 == 0 { 1 } else { -1 };
|
|
let mut exponent: i16 = ((bits >> 23) & 0xff) as i16;
|
|
let mantissa = if exponent == 0 {
|
|
(bits & 0x7fffff) << 1
|
|
} else {
|
|
(bits & 0x7fffff) | 0x800000
|
|
};
|
|
// Exponent bias + mantissa shift
|
|
exponent -= 127 + 23;
|
|
(mantissa as u64, exponent, sign)
|
|
}
|
|
}
|
|
|
|
//
|
|
// Section: String Conversions
|
|
//
|
|
|
|
///
|
|
/// Converts a float to a string
|
|
///
|
|
/// # Arguments
|
|
///
|
|
/// * num - The float value
|
|
///
|
|
#[inline]
|
|
pub fn to_str(num: f32) -> ~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: f32) -> ~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: f32, rdx: uint) -> (~str, bool) {
|
|
strconv::float_to_str_common(num, rdx, 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: f32, dig: uint) -> ~str {
|
|
let (r, _) = strconv::float_to_str_common(
|
|
num, 10u, true, strconv::SignNeg, strconv::DigExact(dig));
|
|
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: f32, dig: uint) -> ~str {
|
|
let (r, _) = strconv::float_to_str_common(
|
|
num, 10u, true, strconv::SignNeg, strconv::DigMax(dig));
|
|
r
|
|
}
|
|
|
|
impl to_str::ToStr for f32 {
|
|
#[inline]
|
|
fn to_str(&self) -> ~str { to_str_digits(*self, 8) }
|
|
}
|
|
|
|
impl num::ToStrRadix for f32 {
|
|
/// 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, rdx: uint) -> ~str {
|
|
let (r, special) = strconv::float_to_str_common(
|
|
*self, rdx, 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<f32> {
|
|
strconv::from_str_common(num, 16u, true, true, true,
|
|
strconv::ExpBin, false, false)
|
|
}
|
|
|
|
impl FromStr for f32 {
|
|
///
|
|
/// 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<f32> {
|
|
strconv::from_str_common(val, 10u, true, true, true,
|
|
strconv::ExpDec, false, false)
|
|
}
|
|
}
|
|
|
|
impl num::FromStrRadix for f32 {
|
|
///
|
|
/// 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, rdx: uint) -> Option<f32> {
|
|
strconv::from_str_common(val, rdx, true, true, false,
|
|
strconv::ExpNone, false, false)
|
|
}
|
|
}
|
|
|
|
#[cfg(test)]
|
|
mod tests {
|
|
use f32::*;
|
|
use prelude::*;
|
|
|
|
use num::*;
|
|
use num;
|
|
use mem;
|
|
|
|
#[test]
|
|
fn test_num() {
|
|
num::test_num(10f32, 2f32);
|
|
}
|
|
|
|
#[test]
|
|
fn test_min() {
|
|
assert_eq!(1f32.min(&2f32), 1f32);
|
|
assert_eq!(2f32.min(&1f32), 1f32);
|
|
}
|
|
|
|
#[test]
|
|
fn test_max() {
|
|
assert_eq!(1f32.max(&2f32), 2f32);
|
|
assert_eq!(2f32.max(&1f32), 2f32);
|
|
}
|
|
|
|
#[test]
|
|
fn test_clamp() {
|
|
assert_eq!(1f32.clamp(&2f32, &4f32), 2f32);
|
|
assert_eq!(8f32.clamp(&2f32, &4f32), 4f32);
|
|
assert_eq!(3f32.clamp(&2f32, &4f32), 3f32);
|
|
|
|
let nan: f32 = Float::nan();
|
|
assert!(3f32.clamp(&nan, &4f32).is_nan());
|
|
assert!(3f32.clamp(&2f32, &nan).is_nan());
|
|
assert!(nan.clamp(&2f32, &4f32).is_nan());
|
|
}
|
|
|
|
#[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() {
|
|
let pi: f32 = Real::pi();
|
|
let two_pi: f32 = Real::two_pi();
|
|
let frac_pi_2: f32 = Real::frac_pi_2();
|
|
let frac_pi_3: f32 = Real::frac_pi_3();
|
|
let frac_pi_4: f32 = Real::frac_pi_4();
|
|
let frac_pi_6: f32 = Real::frac_pi_6();
|
|
let frac_pi_8: f32 = Real::frac_pi_8();
|
|
let frac_1_pi: f32 = Real::frac_1_pi();
|
|
let frac_2_pi: f32 = Real::frac_2_pi();
|
|
let frac_2_sqrtpi: f32 = Real::frac_2_sqrtpi();
|
|
let sqrt2: f32 = Real::sqrt2();
|
|
let frac_1_sqrt2: f32 = Real::frac_1_sqrt2();
|
|
let e: f32 = Real::e();
|
|
let log2_e: f32 = Real::log2_e();
|
|
let log10_e: f32 = Real::log10_e();
|
|
let ln_2: f32 = Real::ln_2();
|
|
let ln_10: f32 = Real::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] #[ignore(cfg(windows))] // FIXME #8663
|
|
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_approx_eq() {
|
|
assert!(1.0f32.approx_eq(&1f32));
|
|
assert!(0.9999999f32.approx_eq(&1f32));
|
|
assert!(1.000001f32.approx_eq_eps(&1f32, &1.0e-5));
|
|
assert!(1.0000001f32.approx_eq_eps(&1f32, &1.0e-6));
|
|
assert!(!1.0000001f32.approx_eq_eps(&1f32, &1.0e-7));
|
|
}
|
|
|
|
#[test]
|
|
fn test_primitive() {
|
|
let none: Option<f32> = None;
|
|
assert_eq!(Primitive::bits(none), mem::size_of::<f32>() * 8);
|
|
assert_eq!(Primitive::bytes(none), mem::size_of::<f32>());
|
|
}
|
|
|
|
#[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 = Zero::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 = Zero::zero();
|
|
let neg_zero: f32 = 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!(1f32.classify(), FPNormal);
|
|
assert_eq!(1e-37f32.classify(), FPNormal);
|
|
assert_eq!(1e-38f32.classify(), FPSubnormal);
|
|
}
|
|
|
|
#[test]
|
|
fn test_ldexp() {
|
|
// We have to use from_str until base-2 exponents
|
|
// are supported in floating-point literals
|
|
let f1: f32 = from_str_hex("1p-123").unwrap();
|
|
let f2: f32 = from_str_hex("1p-111").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 = from_str_hex("1p-123").unwrap();
|
|
let f2: f32 = from_str_hex("1p-111").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] #[ignore(cfg(windows))] // 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.pow(&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));
|
|
}
|
|
}
|