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auto merge of #13597 : bjz/rust/float-api, r=brson

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This pull request:

- Merges the `Round` trait into the `Float` trait, continuing issue #10387.
- Has floating point functions take their parameters by value.
- Cleans up the formatting and organisation in the definition and implementations of the `Float` trait.

More information on the breaking changes can be found in the commit messages.
This commit is contained in:
bors 2014-04-22 22:01:32 -07:00
commit 30fe55066a
10 changed files with 628 additions and 539 deletions
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4
src/doc/guide-tasks.md
View File

@ -306,7 +306,7 @@ be distributed on the available cores.
fn partial_sum(start: uint) -> f64 {
let mut local_sum = 0f64;
for num in range(start*100000, (start+1)*100000) {
local_sum += (num as f64 + 1.0).powf(&-2.0);
local_sum += (num as f64 + 1.0).powf(-2.0);
}
local_sum
}
@ -343,7 +343,7 @@ extern crate sync;
use sync::Arc;
fn pnorm(nums: &[f64], p: uint) -> f64 {
nums.iter().fold(0.0, |a,b| a+(*b).powf(&(p as f64)) ).powf(&(1.0 / (p as f64)))
nums.iter().fold(0.0, |a, b| a + b.powf(p as f64)).powf(1.0 / (p as f64))
}
fn main() {

4
src/libnum/complex.rs
View File

@ -82,7 +82,7 @@ impl<T: Clone + Float> Cmplx<T> {
/// Calculate |self|
#[inline]
pub fn norm(&self) -> T {
self.re.hypot(&self.im)
self.re.hypot(self.im)
}
}
@ -90,7 +90,7 @@ impl<T: Clone + Float> Cmplx<T> {
/// Calculate the principal Arg of self.
#[inline]
pub fn arg(&self) -> T {
self.im.atan2(&self.re)
self.im.atan2(self.re)
}
/// Convert to polar form (r, theta), such that `self = r * exp(i
/// * theta)`

87
src/libnum/rational.rs
View File

@ -15,7 +15,7 @@ use Integer;
use std::cmp;
use std::fmt;
use std::from_str::FromStr;
use std::num::{Zero,One,ToStrRadix,FromStrRadix,Round};
use std::num::{Zero, One, ToStrRadix, FromStrRadix};
use bigint::{BigInt, BigUint, Sign, Plus, Minus};
/// Represents the ratio between 2 numbers.
@ -113,6 +113,40 @@ impl<T: Clone + Integer + Ord>
pub fn recip(&self) -> Ratio<T> {
Ratio::new_raw(self.denom.clone(), self.numer.clone())
}
pub fn floor(&self) -> Ratio<T> {
if *self < Zero::zero() {
Ratio::from_integer((self.numer - self.denom + One::one()) / self.denom)
} else {
Ratio::from_integer(self.numer / self.denom)
}
}
pub fn ceil(&self) -> Ratio<T> {
if *self < Zero::zero() {
Ratio::from_integer(self.numer / self.denom)
} else {
Ratio::from_integer((self.numer + self.denom - One::one()) / self.denom)
}
}
#[inline]
pub fn round(&self) -> Ratio<T> {
if *self < Zero::zero() {
Ratio::from_integer((self.numer - self.denom + One::one()) / self.denom)
} else {
Ratio::from_integer((self.numer + self.denom - One::one()) / self.denom)
}
}
#[inline]
pub fn trunc(&self) -> Ratio<T> {
Ratio::from_integer(self.numer / self.denom)
}
pub fn fract(&self) -> Ratio<T> {
Ratio::new_raw(self.numer % self.denom, self.denom.clone())
}
}
impl Ratio<BigInt> {
@ -238,45 +272,6 @@ impl<T: Clone + Integer + Ord>
impl<T: Clone + Integer + Ord>
Num for Ratio<T> {}
/* Utils */
impl<T: Clone + Integer + Ord>
Round for Ratio<T> {
fn floor(&self) -> Ratio<T> {
if *self < Zero::zero() {
Ratio::from_integer((self.numer - self.denom + One::one()) / self.denom)
} else {
Ratio::from_integer(self.numer / self.denom)
}
}
fn ceil(&self) -> Ratio<T> {
if *self < Zero::zero() {
Ratio::from_integer(self.numer / self.denom)
} else {
Ratio::from_integer((self.numer + self.denom - One::one()) / self.denom)
}
}
#[inline]
fn round(&self) -> Ratio<T> {
if *self < Zero::zero() {
Ratio::from_integer((self.numer - self.denom + One::one()) / self.denom)
} else {
Ratio::from_integer((self.numer + self.denom - One::one()) / self.denom)
}
}
#[inline]
fn trunc(&self) -> Ratio<T> {
Ratio::from_integer(self.numer / self.denom)
}
fn fract(&self) -> Ratio<T> {
Ratio::new_raw(self.numer % self.denom, self.denom.clone())
}
}
/* String conversions */
impl<T: fmt::Show> fmt::Show for Ratio<T> {
/// Renders as `numer/denom`.
@ -636,19 +631,19 @@ mod test {
// f32
test(3.14159265359f32, ("13176795", "4194304"));
test(2f32.powf(&100.), ("1267650600228229401496703205376", "1"));
test(-2f32.powf(&100.), ("-1267650600228229401496703205376", "1"));
test(1.0 / 2f32.powf(&100.), ("1", "1267650600228229401496703205376"));
test(2f32.powf(100.), ("1267650600228229401496703205376", "1"));
test(-2f32.powf(100.), ("-1267650600228229401496703205376", "1"));
test(1.0 / 2f32.powf(100.), ("1", "1267650600228229401496703205376"));
test(684729.48391f32, ("1369459", "2"));
test(-8573.5918555f32, ("-4389679", "512"));
// f64
test(3.14159265359f64, ("3537118876014453", "1125899906842624"));
test(2f64.powf(&100.), ("1267650600228229401496703205376", "1"));
test(-2f64.powf(&100.), ("-1267650600228229401496703205376", "1"));
test(2f64.powf(100.), ("1267650600228229401496703205376", "1"));
test(-2f64.powf(100.), ("-1267650600228229401496703205376", "1"));
test(684729.48391f64, ("367611342500051", "536870912"));
test(-8573.5918555, ("-4713381968463931", "549755813888"));
test(1.0 / 2f64.powf(&100.), ("1", "1267650600228229401496703205376"));
test(1.0 / 2f64.powf(100.), ("1", "1267650600228229401496703205376"));
}
#[test]

2
src/librand/distributions/gamma.rs
View File

@ -147,7 +147,7 @@ impl IndependentSample<f64> for GammaSmallShape {
fn ind_sample<R: Rng>(&self, rng: &mut R) -> f64 {
let Open01(u) = rng.gen::<Open01<f64>>();
self.large_shape.ind_sample(rng) * u.powf(&self.inv_shape)
self.large_shape.ind_sample(rng) * u.powf(self.inv_shape)
}
}
impl IndependentSample<f64> for GammaLargeShape {

368
src/libstd/num/f32.rs
View File

@ -14,6 +14,7 @@
use prelude::*;
use cast;
use default::Default;
use from_str::FromStr;
use libc::{c_int};
@ -216,12 +217,17 @@ impl Neg<f32> for f32 {
impl Signed for f32 {
/// Computes the absolute value. Returns `NAN` if the number is `NAN`.
#[inline]
fn abs(&self) -> f32 { unsafe{intrinsics::fabsf32(*self)} }
fn abs(&self) -> f32 {
unsafe { intrinsics::fabsf32(*self) }
}
/// 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.
/// 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: &f32) -> f32 { unsafe{cmath::fdimf(*self, *other)} }
fn abs_sub(&self, other: &f32) -> f32 {
unsafe { cmath::fdimf(*self, *other) }
}
/// # Returns
///
@ -230,7 +236,9 @@ impl Signed for f32 {
/// - `NAN` if the number is NaN
#[inline]
fn signum(&self) -> f32 {
if self.is_nan() { NAN } else { unsafe{intrinsics::copysignf32(1.0, *self)} }
if self.is_nan() { NAN } else {
unsafe { intrinsics::copysignf32(1.0, *self) }
}
}
/// Returns `true` if the number is positive, including `+0.0` and `INFINITY`
@ -242,33 +250,6 @@ impl Signed for f32 {
fn is_negative(&self) -> bool { *self < 0.0 || (1.0 / *self) == NEG_INFINITY }
}
impl Round for f32 {
/// Round half-way cases toward `NEG_INFINITY`
#[inline]
fn floor(&self) -> f32 { unsafe{intrinsics::floorf32(*self)} }
/// Round half-way cases toward `INFINITY`
#[inline]
fn ceil(&self) -> f32 { unsafe{intrinsics::ceilf32(*self)} }
/// Round half-way cases away from `0.0`
#[inline]
fn round(&self) -> f32 { unsafe{intrinsics::roundf32(*self)} }
/// The integer part of the number (rounds towards `0.0`)
#[inline]
fn trunc(&self) -> f32 { unsafe{intrinsics::truncf32(*self)} }
/// The fractional part of the number, satisfying:
///
/// ```rust
/// let x = 1.65f32;
/// assert!(x == x.trunc() + x.fract())
/// ```
#[inline]
fn fract(&self) -> f32 { *self - self.trunc() }
}
impl Bounded for f32 {
#[inline]
fn min_value() -> f32 { 1.17549435e-38 }
@ -280,18 +261,6 @@ impl Bounded for f32 {
impl Primitive for f32 {}
impl Float for f32 {
fn powi(&self, n: i32) -> f32 { unsafe{intrinsics::powif32(*self, n)} }
#[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 nan() -> f32 { 0.0 / 0.0 }
@ -306,33 +275,34 @@ impl Float for f32 {
/// Returns `true` if the number is NaN
#[inline]
fn is_nan(&self) -> bool { *self != *self }
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()
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 {
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 {
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 {
/// 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;
let bits: u32 = unsafe {::cast::transmute(*self)};
let bits: u32 = unsafe { cast::transmute(self) };
match (bits & MAN_MASK, bits & EXP_MASK) {
(0, 0) => FPZero,
(_, 0) => FPSubnormal,
@ -363,48 +333,30 @@ impl Float for f32 {
#[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`
/// 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)} }
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:
/// 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) {
fn frexp(self) -> (f32, int) {
unsafe {
let mut exp = 0;
let x = cmath::frexpf(*self, &mut exp);
let x = cmath::frexpf(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 { 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)} }
/// 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 { unsafe{intrinsics::fmaf32(*self, a, b)} }
/// 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)} }
/// Returns the mantissa, exponent and sign as integers.
fn integer_decode(&self) -> (u64, i16, i8) {
let bits: u32 = unsafe {
::cast::transmute(*self)
};
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 {
@ -417,6 +369,103 @@ impl Float for f32 {
(mantissa as u64, exponent, sign)
}
/// 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) }
}
/// Round half-way cases toward `NEG_INFINITY`
#[inline]
fn floor(self) -> f32 {
unsafe { intrinsics::floorf32(self) }
}
/// Round half-way cases toward `INFINITY`
#[inline]
fn ceil(self) -> f32 {
unsafe { intrinsics::ceilf32(self) }
}
/// Round half-way cases away from `0.0`
#[inline]
fn round(self) -> f32 {
unsafe { intrinsics::roundf32(self) }
}
/// The integer part of the number (rounds towards `0.0`)
#[inline]
fn trunc(self) -> f32 {
unsafe { intrinsics::truncf32(self) }
}
/// The fractional part of the number, satisfying:
///
/// ```rust
/// let x = 1.65f32;
/// assert!(x == x.trunc() + x.fract())
/// ```
#[inline]
fn fract(self) -> f32 { self - self.trunc() }
#[inline]
fn max(self, other: f32) -> f32 {
unsafe { cmath::fmaxf(self, other) }
}
#[inline]
fn min(self, other: f32) -> f32 {
unsafe { cmath::fminf(self, other) }
}
/// 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 {
unsafe { intrinsics::fmaf32(self, a, b) }
}
/// The reciprocal (multiplicative inverse) of the number
#[inline]
fn recip(self) -> f32 { 1.0 / self }
fn powi(self, n: i32) -> f32 {
unsafe { intrinsics::powif32(self, n) }
}
#[inline]
fn powf(self, n: f32) -> f32 {
unsafe { intrinsics::powf32(self, n) }
}
/// sqrt(2.0)
#[inline]
fn sqrt2() -> f32 { 1.41421356237309504880168872420969808 }
/// 1.0 / sqrt(2.0)
#[inline]
fn frac_1_sqrt2() -> f32 { 0.707106781186547524400844362104849039 }
#[inline]
fn sqrt(self) -> f32 {
unsafe { intrinsics::sqrtf32(self) }
}
#[inline]
fn rsqrt(self) -> f32 { self.sqrt().recip() }
#[inline]
fn cbrt(self) -> f32 {
unsafe { cmath::cbrtf(self) }
}
#[inline]
fn hypot(self, other: f32) -> f32 {
unsafe { cmath::hypotf(self, other) }
}
/// Archimedes' constant
#[inline]
fn pi() -> f32 { 3.14159265358979323846264338327950288 }
@ -457,13 +506,46 @@ impl Float for f32 {
#[inline]
fn frac_2_sqrtpi() -> f32 { 1.12837916709551257389615890312154517 }
/// sqrt(2.0)
#[inline]
fn sqrt2() -> f32 { 1.41421356237309504880168872420969808 }
fn sin(self) -> f32 {
unsafe { intrinsics::sinf32(self) }
}
/// 1.0 / sqrt(2.0)
#[inline]
fn frac_1_sqrt2() -> f32 { 0.707106781186547524400844362104849039 }
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())
}
/// Euler's number
#[inline]
@ -485,84 +567,68 @@ impl Float for f32 {
#[inline]
fn ln_10() -> f32 { 2.30258509299404568401799145468436421 }
/// The reciprocal (multiplicative inverse) of the number
#[inline]
fn recip(&self) -> f32 { 1.0 / *self }
#[inline]
fn powf(&self, n: &f32) -> f32 { unsafe{intrinsics::powf32(*self, *n)} }
#[inline]
fn sqrt(&self) -> f32 { unsafe{intrinsics::sqrtf32(*self)} }
#[inline]
fn rsqrt(&self) -> f32 { self.sqrt().recip() }
#[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
#[inline]
fn exp(&self) -> f32 { unsafe{intrinsics::expf32(*self)} }
fn exp(self) -> f32 {
unsafe { intrinsics::expf32(self) }
}
/// Returns 2 raised to the power of the number
#[inline]
fn exp2(&self) -> f32 { unsafe{intrinsics::exp2f32(*self)} }
fn exp2(self) -> f32 {
unsafe { intrinsics::exp2f32(self) }
}
/// 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
#[inline]
fn ln(&self) -> f32 { unsafe{intrinsics::logf32(*self)} }
fn ln(self) -> f32 {
unsafe { intrinsics::logf32(self) }
}
/// Returns the logarithm of the number with respect to an arbitrary base
#[inline]
fn log(&self, base: &f32) -> f32 { self.ln() / base.ln() }
fn log(self, base: f32) -> f32 { self.ln() / base.ln() }
/// Returns the base 2 logarithm of the number
#[inline]
fn log2(&self) -> f32 { unsafe{intrinsics::log2f32(*self)} }
fn log2(self) -> f32 {
unsafe { intrinsics::log2f32(self) }
}
/// Returns the base 10 logarithm of the number
#[inline]
fn log10(&self) -> f32 { unsafe{intrinsics::log10f32(*self)} }
fn log10(self) -> f32 {
unsafe { intrinsics::log10f32(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)} }
fn sinh(self) -> f32 {
unsafe { cmath::sinhf(self) }
}
#[inline]
fn cosh(&self) -> f32 { unsafe{cmath::coshf(*self)} }
fn cosh(self) -> f32 {
unsafe { cmath::coshf(self) }
}
#[inline]
fn tanh(&self) -> f32 { unsafe{cmath::tanhf(*self)} }
fn tanh(self) -> f32 {
unsafe { cmath::tanhf(self) }
}
/// Inverse hyperbolic sine
///
@ -572,8 +638,8 @@ impl Float for f32 {
/// - `self` if `self` is `0.0`, `-0.0`, `INFINITY`, or `NEG_INFINITY`
/// - `NAN` if `self` is `NAN`
#[inline]
fn asinh(&self) -> f32 {
match *self {
fn asinh(self) -> f32 {
match self {
NEG_INFINITY => NEG_INFINITY,
x => (x + ((x * x) + 1.0).sqrt()).ln(),
}
@ -587,8 +653,8 @@ impl Float for f32 {
/// - `INFINITY` if `self` is `INFINITY`
/// - `NAN` if `self` is `NAN` or `self < 1.0` (including `NEG_INFINITY`)
#[inline]
fn acosh(&self) -> f32 {
match *self {
fn acosh(self) -> f32 {
match self {
x if x < 1.0 => Float::nan(),
x => (x + ((x * x) - 1.0).sqrt()).ln(),
}
@ -605,19 +671,19 @@ impl Float for f32 {
/// - `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()
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 / Float::pi()) }
fn to_degrees(self) -> f32 { self * (180.0f32 / Float::pi()) }
/// Converts to radians, assuming the number is in degrees
#[inline]
fn to_radians(&self) -> f32 {
fn to_radians(self) -> f32 {
let value: f32 = Float::pi();
*self * (value / 180.0f32)
self * (value / 180.0f32)
}
}
@ -1167,7 +1233,7 @@ mod tests {
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!(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));

365
src/libstd/num/f64.rs
View File

@ -14,6 +14,7 @@
use prelude::*;
use cast;
use default::Default;
use from_str::FromStr;
use libc::{c_int};
@ -224,12 +225,16 @@ impl Neg<f64> for f64 {
impl Signed for f64 {
/// Computes the absolute value. Returns `NAN` if the number is `NAN`.
#[inline]
fn abs(&self) -> f64 { unsafe{intrinsics::fabsf64(*self)} }
fn abs(&self) -> f64 {
unsafe { intrinsics::fabsf64(*self) }
}
/// 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: &f64) -> f64 { unsafe{cmath::fdim(*self, *other)} }
fn abs_sub(&self, other: &f64) -> f64 {
unsafe { cmath::fdim(*self, *other) }
}
/// # Returns
///
@ -238,7 +243,9 @@ impl Signed for f64 {
/// - `NAN` if the number is NaN
#[inline]
fn signum(&self) -> f64 {
if self.is_nan() { NAN } else { unsafe{intrinsics::copysignf64(1.0, *self)} }
if self.is_nan() { NAN } else {
unsafe { intrinsics::copysignf64(1.0, *self) }
}
}
/// Returns `true` if the number is positive, including `+0.0` and `INFINITY`
@ -250,33 +257,6 @@ impl Signed for f64 {
fn is_negative(&self) -> bool { *self < 0.0 || (1.0 / *self) == NEG_INFINITY }
}
impl Round for f64 {
/// Round half-way cases toward `NEG_INFINITY`
#[inline]
fn floor(&self) -> f64 { unsafe{intrinsics::floorf64(*self)} }
/// Round half-way cases toward `INFINITY`
#[inline]
fn ceil(&self) -> f64 { unsafe{intrinsics::ceilf64(*self)} }
/// Round half-way cases away from `0.0`
#[inline]
fn round(&self) -> f64 { unsafe{intrinsics::roundf64(*self)} }
/// The integer part of the number (rounds towards `0.0`)
#[inline]
fn trunc(&self) -> f64 { unsafe{intrinsics::truncf64(*self)} }
/// The fractional part of the number, satisfying:
///
/// ```rust
/// let x = 1.65f64;
/// assert!(x == x.trunc() + x.fract())
/// ```
#[inline]
fn fract(&self) -> f64 { *self - self.trunc() }
}
impl Bounded for f64 {
#[inline]
fn min_value() -> f64 { 2.2250738585072014e-308 }
@ -288,16 +268,6 @@ impl Bounded for f64 {
impl Primitive for f64 {}
impl Float for f64 {
#[inline]
fn max(self, other: f64) -> f64 {
unsafe { cmath::fmax(self, other) }
}
#[inline]
fn min(self, other: f64) -> f64 {
unsafe { cmath::fmin(self, other) }
}
#[inline]
fn nan() -> f64 { 0.0 / 0.0 }
@ -312,33 +282,34 @@ impl Float for f64 {
/// Returns `true` if the number is NaN
#[inline]
fn is_nan(&self) -> bool { *self != *self }
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()
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 {
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 {
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 {
/// 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: u64 = 0x7ff0000000000000;
static MAN_MASK: u64 = 0x000fffffffffffff;
let bits: u64 = unsafe {::cast::transmute(*self)};
let bits: u64 = unsafe { cast::transmute(self) };
match (bits & MAN_MASK, bits & EXP_MASK) {
(0, 0) => FPZero,
(_, 0) => FPSubnormal,
@ -369,48 +340,30 @@ impl Float for f64 {
#[inline]
fn max_10_exp(_: Option<f64>) -> int { 308 }
/// Constructs a floating point number by multiplying `x` by 2 raised to the power of `exp`
/// Constructs a floating point number by multiplying `x` by 2 raised to the
/// power of `exp`
#[inline]
fn ldexp(x: f64, exp: int) -> f64 { unsafe{cmath::ldexp(x, exp as c_int)} }
fn ldexp(x: f64, exp: int) -> f64 {
unsafe { cmath::ldexp(x, exp as c_int) }
}
/// Breaks the number into a normalized fraction and a base-2 exponent, satisfying:
/// 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) -> (f64, int) {
fn frexp(self) -> (f64, int) {
unsafe {
let mut exp = 0;
let x = cmath::frexp(*self, &mut exp);
let x = cmath::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) -> f64 { unsafe{cmath::expm1(*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) -> f64 { unsafe{cmath::log1p(*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: f64, b: f64) -> f64 { unsafe{intrinsics::fmaf64(*self, a, b)} }
/// Returns the next representable floating-point value in the direction of `other`
#[inline]
fn next_after(&self, other: f64) -> f64 { unsafe{cmath::nextafter(*self, other)} }
/// Returns the mantissa, exponent and sign as integers.
fn integer_decode(&self) -> (u64, i16, i8) {
let bits: u64 = unsafe {
::cast::transmute(*self)
};
fn integer_decode(self) -> (u64, i16, i8) {
let bits: u64 = unsafe { cast::transmute(self) };
let sign: i8 = if bits >> 63 == 0 { 1 } else { -1 };
let mut exponent: i16 = ((bits >> 52) & 0x7ff) as i16;
let mantissa = if exponent == 0 {
@ -423,6 +376,104 @@ impl Float for f64 {
(mantissa, exponent, sign)
}
/// Returns the next representable floating-point value in the direction of
/// `other`.
#[inline]
fn next_after(self, other: f64) -> f64 {
unsafe { cmath::nextafter(self, other) }
}
/// Round half-way cases toward `NEG_INFINITY`
#[inline]
fn floor(self) -> f64 {
unsafe { intrinsics::floorf64(self) }
}
/// Round half-way cases toward `INFINITY`
#[inline]
fn ceil(self) -> f64 {
unsafe { intrinsics::ceilf64(self) }
}
/// Round half-way cases away from `0.0`
#[inline]
fn round(self) -> f64 {
unsafe { intrinsics::roundf64(self) }
}
/// The integer part of the number (rounds towards `0.0`)
#[inline]
fn trunc(self) -> f64 {
unsafe { intrinsics::truncf64(self) }
}
/// The fractional part of the number, satisfying:
///
/// ```rust
/// let x = 1.65f64;
/// assert!(x == x.trunc() + x.fract())
/// ```
#[inline]
fn fract(self) -> f64 { self - self.trunc() }
#[inline]
fn max(self, other: f64) -> f64 {
unsafe { cmath::fmax(self, other) }
}
#[inline]
fn min(self, other: f64) -> f64 {
unsafe { cmath::fmin(self, other) }
}
/// 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: f64, b: f64) -> f64 {
unsafe { intrinsics::fmaf64(self, a, b) }
}
/// The reciprocal (multiplicative inverse) of the number
#[inline]
fn recip(self) -> f64 { 1.0 / self }
#[inline]
fn powf(self, n: f64) -> f64 {
unsafe { intrinsics::powf64(self, n) }
}
#[inline]
fn powi(self, n: i32) -> f64 {
unsafe { intrinsics::powif64(self, n) }
}
/// sqrt(2.0)
#[inline]
fn sqrt2() -> f64 { 1.41421356237309504880168872420969808 }
/// 1.0 / sqrt(2.0)
#[inline]
fn frac_1_sqrt2() -> f64 { 0.707106781186547524400844362104849039 }
#[inline]
fn sqrt(self) -> f64 {
unsafe { intrinsics::sqrtf64(self) }
}
#[inline]
fn rsqrt(self) -> f64 { self.sqrt().recip() }
#[inline]
fn cbrt(self) -> f64 {
unsafe { cmath::cbrt(self) }
}
#[inline]
fn hypot(self, other: f64) -> f64 {
unsafe { cmath::hypot(self, other) }
}
/// Archimedes' constant
#[inline]
fn pi() -> f64 { 3.14159265358979323846264338327950288 }
@ -463,13 +514,46 @@ impl Float for f64 {
#[inline]
fn frac_2_sqrtpi() -> f64 { 1.12837916709551257389615890312154517 }
/// sqrt(2.0)
#[inline]
fn sqrt2() -> f64 { 1.41421356237309504880168872420969808 }
fn sin(self) -> f64 {
unsafe { intrinsics::sinf64(self) }
}
/// 1.0 / sqrt(2.0)
#[inline]
fn frac_1_sqrt2() -> f64 { 0.707106781186547524400844362104849039 }
fn cos(self) -> f64 {
unsafe { intrinsics::cosf64(self) }
}
#[inline]
fn tan(self) -> f64 {
unsafe { cmath::tan(self) }
}
#[inline]
fn asin(self) -> f64 {
unsafe { cmath::asin(self) }
}
#[inline]
fn acos(self) -> f64 {
unsafe { cmath::acos(self) }
}
#[inline]
fn atan(self) -> f64 {
unsafe { cmath::atan(self) }
}
#[inline]
fn atan2(self, other: f64) -> f64 {
unsafe { cmath::atan2(self, other) }
}
/// Simultaneously computes the sine and cosine of the number
#[inline]
fn sin_cos(self) -> (f64, f64) {
(self.sin(), self.cos())
}
/// Euler's number
#[inline]
@ -491,87 +575,68 @@ impl Float for f64 {
#[inline]
fn ln_10() -> f64 { 2.30258509299404568401799145468436421 }
/// The reciprocal (multiplicative inverse) of the number
#[inline]
fn recip(&self) -> f64 { 1.0 / *self }
#[inline]
fn powf(&self, n: &f64) -> f64 { unsafe{intrinsics::powf64(*self, *n)} }
#[inline]
fn powi(&self, n: i32) -> f64 { unsafe{intrinsics::powif64(*self, n)} }
#[inline]
fn sqrt(&self) -> f64 { unsafe{intrinsics::sqrtf64(*self)} }
#[inline]
fn rsqrt(&self) -> f64 { self.sqrt().recip() }
#[inline]
fn cbrt(&self) -> f64 { unsafe{cmath::cbrt(*self)} }
#[inline]
fn hypot(&self, other: &f64) -> f64 { unsafe{cmath::hypot(*self, *other)} }
#[inline]
fn sin(&self) -> f64 { unsafe{intrinsics::sinf64(*self)} }
#[inline]
fn cos(&self) -> f64 { unsafe{intrinsics::cosf64(*self)} }
#[inline]
fn tan(&self) -> f64 { unsafe{cmath::tan(*self)} }
#[inline]
fn asin(&self) -> f64 { unsafe{cmath::asin(*self)} }
#[inline]
fn acos(&self) -> f64 { unsafe{cmath::acos(*self)} }
#[inline]
fn atan(&self) -> f64 { unsafe{cmath::atan(*self)} }
#[inline]
fn atan2(&self, other: &f64) -> f64 { unsafe{cmath::atan2(*self, *other)} }
/// Simultaneously computes the sine and cosine of the number
#[inline]
fn sin_cos(&self) -> (f64, f64) {
(self.sin(), self.cos())
}
/// Returns the exponential of the number
#[inline]
fn exp(&self) -> f64 { unsafe{intrinsics::expf64(*self)} }
fn exp(self) -> f64 {
unsafe { intrinsics::expf64(self) }
}
/// Returns 2 raised to the power of the number
#[inline]
fn exp2(&self) -> f64 { unsafe{intrinsics::exp2f64(*self)} }
fn exp2(self) -> f64 {
unsafe { intrinsics::exp2f64(self) }
}
/// 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) -> f64 {
unsafe { cmath::expm1(self) }
}
/// Returns the natural logarithm of the number
#[inline]
fn ln(&self) -> f64 { unsafe{intrinsics::logf64(*self)} }
fn ln(self) -> f64 {
unsafe { intrinsics::logf64(self) }
}
/// Returns the logarithm of the number with respect to an arbitrary base
#[inline]
fn log(&self, base: &f64) -> f64 { self.ln() / base.ln() }
fn log(self, base: f64) -> f64 { self.ln() / base.ln() }
/// Returns the base 2 logarithm of the number
#[inline]
fn log2(&self) -> f64 { unsafe{intrinsics::log2f64(*self)} }
fn log2(self) -> f64 {
unsafe { intrinsics::log2f64(self) }
}
/// Returns the base 10 logarithm of the number
#[inline]
fn log10(&self) -> f64 { unsafe{intrinsics::log10f64(*self)} }
fn log10(self) -> f64 {
unsafe { intrinsics::log10f64(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) -> f64 {
unsafe { cmath::log1p(self) }
}
#[inline]
fn sinh(&self) -> f64 { unsafe{cmath::sinh(*self)} }
fn sinh(self) -> f64 {
unsafe { cmath::sinh(self) }
}
#[inline]
fn cosh(&self) -> f64 { unsafe{cmath::cosh(*self)} }
fn cosh(self) -> f64 {
unsafe { cmath::cosh(self) }
}
#[inline]
fn tanh(&self) -> f64 { unsafe{cmath::tanh(*self)} }
fn tanh(self) -> f64 {
unsafe { cmath::tanh(self) }
}
/// Inverse hyperbolic sine
///
@ -581,8 +646,8 @@ impl Float for f64 {
/// - `self` if `self` is `0.0`, `-0.0`, `INFINITY`, or `NEG_INFINITY`
/// - `NAN` if `self` is `NAN`
#[inline]
fn asinh(&self) -> f64 {
match *self {
fn asinh(self) -> f64 {
match self {
NEG_INFINITY => NEG_INFINITY,
x => (x + ((x * x) + 1.0).sqrt()).ln(),
}
@ -596,8 +661,8 @@ impl Float for f64 {
/// - `INFINITY` if `self` is `INFINITY`
/// - `NAN` if `self` is `NAN` or `self < 1.0` (including `NEG_INFINITY`)
#[inline]
fn acosh(&self) -> f64 {
match *self {
fn acosh(self) -> f64 {
match self {
x if x < 1.0 => Float::nan(),
x => (x + ((x * x) - 1.0).sqrt()).ln(),
}
@ -614,19 +679,19 @@ impl Float for f64 {
/// - `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) -> f64 {
0.5 * ((2.0 * *self) / (1.0 - *self)).ln_1p()
fn atanh(self) -> f64 {
0.5 * ((2.0 * self) / (1.0 - self)).ln_1p()
}
/// Converts to degrees, assuming the number is in radians
#[inline]
fn to_degrees(&self) -> f64 { *self * (180.0f64 / Float::pi()) }
fn to_degrees(self) -> f64 { self * (180.0f64 / Float::pi()) }
/// Converts to radians, assuming the number is in degrees
#[inline]
fn to_radians(&self) -> f64 {
fn to_radians(self) -> f64 {
let value: f64 = Float::pi();
*self * (value / 180.0)
self * (value / 180.0)
}
}
@ -1170,7 +1235,7 @@ mod tests {
fn test_integer_decode() {
assert_eq!(3.14159265359f64.integer_decode(), (7074237752028906u64, -51i16, 1i8));
assert_eq!((-8573.5918555f64).integer_decode(), (4713381968463931u64, -39i16, -1i8));
assert_eq!(2f64.powf(&100.0).integer_decode(), (4503599627370496u64, 48i16, 1i8));
assert_eq!(2f64.powf(100.0).integer_decode(), (4503599627370496u64, 48i16, 1i8));
assert_eq!(0f64.integer_decode(), (0u64, -1075i16, 1i8));
assert_eq!((-0f64).integer_decode(), (0u64, -1075i16, -1i8));
assert_eq!(INFINITY.integer_decode(), (4503599627370496u64, 972i16, 1i8));

323
src/libstd/num/mod.rs
View File

@ -162,25 +162,6 @@ pub fn abs_sub<T: Signed>(x: T, y: T) -> T {
/// A trait for values which cannot be negative
pub trait Unsigned: Num {}
/// A collection of rounding operations.
pub trait Round {
/// Return the largest integer less than or equal to a number.
fn floor(&self) -> Self;
/// Return the smallest integer greater than or equal to a number.
fn ceil(&self) -> Self;
/// Return the nearest integer to a number. Round half-way cases away from
/// `0.0`.
fn round(&self) -> Self;
/// Return the integer part of a number.
fn trunc(&self) -> Self;
/// Return the fractional part of a number.
fn fract(&self) -> Self;
}
/// Raises a value to the power of exp, using exponentiation by squaring.
///
/// # Example
@ -353,217 +334,199 @@ pub enum FPCategory {
//
// FIXME(#8888): Several of these functions have a parameter named
// `unused_self`. Removing it requires #8888 to be fixed.
pub trait Float: Signed + Round + Primitive {
pub trait Float: Signed + Primitive {
/// Returns the NaN value.
fn nan() -> Self;
/// Returns the infinite value.
fn infinity() -> Self;
/// Returns the negative infinite value.
fn neg_infinity() -> Self;
/// Returns -0.0.
fn neg_zero() -> Self;
/// Returns true if this value is NaN and false otherwise.
fn is_nan(self) -> bool;
/// Returns true if this value is positive infinity or negative infinity and
/// false otherwise.
fn is_infinite(self) -> bool;
/// Returns true if this number is neither infinite nor NaN.
fn is_finite(self) -> bool;
/// Returns true if this number is neither zero, infinite, denormal, or NaN.
fn is_normal(self) -> bool;
/// Returns the category that this number falls into.
fn classify(self) -> FPCategory;
/// Returns the number of binary digits of mantissa that this type supports.
fn mantissa_digits(unused_self: Option<Self>) -> uint;
/// Returns the number of binary digits of exponent that this type supports.
fn digits(unused_self: Option<Self>) -> uint;
/// Returns the smallest positive number that this type can represent.
fn epsilon() -> Self;
/// Returns the minimum binary exponent that this type can represent.
fn min_exp(unused_self: Option<Self>) -> int;
/// Returns the maximum binary exponent that this type can represent.
fn max_exp(unused_self: Option<Self>) -> int;
/// Returns the minimum base-10 exponent that this type can represent.
fn min_10_exp(unused_self: Option<Self>) -> int;
/// Returns the maximum base-10 exponent that this type can represent.
fn max_10_exp(unused_self: Option<Self>) -> int;
/// Constructs a floating point number created by multiplying `x` by 2
/// raised to the power of `exp`.
fn ldexp(x: Self, exp: int) -> Self;
/// Breaks the number into a normalized fraction and a base-2 exponent,
/// satisfying:
///
/// * `self = x * pow(2, exp)`
///
/// * `0.5 <= abs(x) < 1.0`
fn frexp(self) -> (Self, int);
/// Returns the mantissa, exponent and sign as integers, respectively.
fn integer_decode(self) -> (u64, i16, i8);
/// Returns the next representable floating-point value in the direction of
/// `other`.
fn next_after(self, other: Self) -> Self;
/// Return the largest integer less than or equal to a number.
fn floor(self) -> Self;
/// Return the smallest integer greater than or equal to a number.
fn ceil(self) -> Self;
/// Return the nearest integer to a number. Round half-way cases away from
/// `0.0`.
fn round(self) -> Self;
/// Return the integer part of a number.
fn trunc(self) -> Self;
/// Return the fractional part of a number.
fn fract(self) -> Self;
/// Returns the maximum of the two numbers.
fn max(self, other: Self) -> Self;
/// Returns the minimum of the two numbers.
fn min(self, other: Self) -> Self;
/// Returns the NaN value.
fn nan() -> Self;
/// Returns the infinite value.
fn infinity() -> Self;
/// Returns the negative infinite value.
fn neg_infinity() -> Self;
/// Returns -0.0.
fn neg_zero() -> Self;
/// Returns true if this value is NaN and false otherwise.
fn is_nan(&self) -> bool;
/// Returns true if this value is positive infinity or negative infinity and false otherwise.
fn is_infinite(&self) -> bool;
/// Returns true if this number is neither infinite nor NaN.
fn is_finite(&self) -> bool;
/// Returns true if this number is neither zero, infinite, denormal, or NaN.
fn is_normal(&self) -> bool;
/// Returns the category that this number falls into.
fn classify(&self) -> FPCategory;
/// Returns the number of binary digits of mantissa that this type supports.
fn mantissa_digits(unused_self: Option<Self>) -> uint;
/// Returns the number of binary digits of exponent that this type supports.
fn digits(unused_self: Option<Self>) -> uint;
/// Returns the smallest positive number that this type can represent.
fn epsilon() -> Self;
/// Returns the minimum binary exponent that this type can represent.
fn min_exp(unused_self: Option<Self>) -> int;
/// Returns the maximum binary exponent that this type can represent.
fn max_exp(unused_self: Option<Self>) -> int;
/// Returns the minimum base-10 exponent that this type can represent.
fn min_10_exp(unused_self: Option<Self>) -> int;
/// Returns the maximum base-10 exponent that this type can represent.
fn max_10_exp(unused_self: Option<Self>) -> int;
/// Constructs a floating point number created by multiplying `x` by 2 raised to the power of
/// `exp`.
fn ldexp(x: Self, exp: int) -> Self;
/// Breaks the number into a normalized fraction and a base-2 exponent, satisfying:
///
/// * `self = x * pow(2, exp)`
///
/// * `0.5 <= abs(x) < 1.0`
fn frexp(&self) -> (Self, int);
/// Returns the exponential of the number, minus 1, in a way that is accurate even if the
/// number is close to zero.
fn exp_m1(&self) -> Self;
/// Returns the natural logarithm of the number plus 1 (`ln(1+n)`) more accurately than if the
/// operations were performed separately.
fn ln_1p(&self) -> 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.
fn mul_add(&self, a: Self, b: Self) -> Self;
/// Returns the next representable floating-point value in the direction of `other`.
fn next_after(&self, other: Self) -> Self;
/// Returns the mantissa, exponent and sign as integers, respectively.
fn integer_decode(&self) -> (u64, i16, i8);
/// Archimedes' constant.
fn pi() -> Self;
/// 2.0 * pi.
fn two_pi() -> Self;
/// pi / 2.0.
fn frac_pi_2() -> Self;
/// pi / 3.0.
fn frac_pi_3() -> Self;
/// pi / 4.0.
fn frac_pi_4() -> Self;
/// pi / 6.0.
fn frac_pi_6() -> Self;
/// pi / 8.0.
fn frac_pi_8() -> Self;
/// 1.0 / pi.
fn frac_1_pi() -> Self;
/// 2.0 / pi.
fn frac_2_pi() -> Self;
/// 2.0 / sqrt(pi).
fn frac_2_sqrtpi() -> Self;
/// sqrt(2.0).
fn sqrt2() -> Self;
/// 1.0 / sqrt(2.0).
fn frac_1_sqrt2() -> Self;
/// Euler's number.
fn e() -> Self;
/// log2(e).
fn log2_e() -> Self;
/// log10(e).
fn log10_e() -> Self;
/// ln(2.0).
fn ln_2() -> Self;
/// ln(10.0).
fn ln_10() -> 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.
fn mul_add(self, a: Self, b: Self) -> Self;
/// Take the reciprocal (inverse) of a number, `1/x`.
fn recip(&self) -> Self;
/// Raise a number to a power.
fn powf(&self, n: &Self) -> Self;
fn recip(self) -> Self;
/// Raise a number to an integer power.
///
/// Using this function is generally faster than using `powf`
fn powi(&self, n: i32) -> Self;
fn powi(self, n: i32) -> Self;
/// Raise a number to a floating point power.
fn powf(self, n: Self) -> Self;
/// sqrt(2.0).
fn sqrt2() -> Self;
/// 1.0 / sqrt(2.0).
fn frac_1_sqrt2() -> Self;
/// Take the square root of a number.
fn sqrt(&self) -> Self;
fn sqrt(self) -> Self;
/// Take the reciprocal (inverse) square root of a number, `1/sqrt(x)`.
fn rsqrt(&self) -> Self;
fn rsqrt(self) -> Self;
/// Take the cubic root of a number.
fn cbrt(&self) -> Self;
fn cbrt(self) -> Self;
/// Calculate the length of the hypotenuse of a right-angle triangle given
/// legs of length `x` and `y`.
fn hypot(&self, other: &Self) -> Self;
fn hypot(self, other: Self) -> Self;
/// Archimedes' constant.
fn pi() -> Self;
/// 2.0 * pi.
fn two_pi() -> Self;
/// pi / 2.0.
fn frac_pi_2() -> Self;
/// pi / 3.0.
fn frac_pi_3() -> Self;
/// pi / 4.0.
fn frac_pi_4() -> Self;
/// pi / 6.0.
fn frac_pi_6() -> Self;
/// pi / 8.0.
fn frac_pi_8() -> Self;
/// 1.0 / pi.
fn frac_1_pi() -> Self;
/// 2.0 / pi.
fn frac_2_pi() -> Self;
/// 2.0 / sqrt(pi).
fn frac_2_sqrtpi() -> Self;
/// Computes the sine of a number (in radians).
fn sin(&self) -> Self;
fn sin(self) -> Self;
/// Computes the cosine of a number (in radians).
fn cos(&self) -> Self;
fn cos(self) -> Self;
/// Computes the tangent of a number (in radians).
fn tan(&self) -> Self;
fn tan(self) -> Self;
/// Computes the arcsine of a number. Return value is in radians in
/// the range [-pi/2, pi/2] or NaN if the number is outside the range
/// [-1, 1].
fn asin(&self) -> Self;
fn asin(self) -> Self;
/// Computes the arccosine of a number. Return value is in radians in
/// the range [0, pi] or NaN if the number is outside the range
/// [-1, 1].
fn acos(&self) -> Self;
fn acos(self) -> Self;
/// Computes the arctangent of a number. Return value is in radians in the
/// range [-pi/2, pi/2];
fn atan(&self) -> Self;
fn atan(self) -> Self;
/// Computes the four quadrant arctangent of a number, `y`, and another
/// number `x`. Return value is in radians in the range [-pi, pi].
fn atan2(&self, other: &Self) -> Self;
fn atan2(self, other: Self) -> Self;
/// Simultaneously computes the sine and cosine of the number, `x`. Returns
/// `(sin(x), cos(x))`.
fn sin_cos(&self) -> (Self, Self);
fn sin_cos(self) -> (Self, Self);
/// Euler's number.
fn e() -> Self;
/// log2(e).
fn log2_e() -> Self;
/// log10(e).
fn log10_e() -> Self;
/// ln(2.0).
fn ln_2() -> Self;
/// ln(10.0).
fn ln_10() -> Self;
/// Returns `e^(self)`, (the exponential function).
fn exp(&self) -> Self;
fn exp(self) -> Self;
/// Returns 2 raised to the power of the number, `2^(self)`.
fn exp2(&self) -> Self;
fn exp2(self) -> Self;
/// Returns the exponential of the number, minus 1, in a way that is
/// accurate even if the number is close to zero.
fn exp_m1(self) -> Self;
/// Returns the natural logarithm of the number.
fn ln(&self) -> Self;
fn ln(self) -> Self;
/// Returns the logarithm of the number with respect to an arbitrary base.
fn log(&self, base: &Self) -> Self;
fn log(self, base: Self) -> Self;
/// Returns the base 2 logarithm of the number.
fn log2(&self) -> Self;
fn log2(self) -> Self;
/// Returns the base 10 logarithm of the number.
fn log10(&self) -> Self;
fn log10(self) -> Self;
/// Returns the natural logarithm of the number plus 1 (`ln(1+n)`) more
/// accurately than if the operations were performed separately.
fn ln_1p(self) -> Self;
/// Hyperbolic sine function.
fn sinh(&self) -> Self;
fn sinh(self) -> Self;
/// Hyperbolic cosine function.
fn cosh(&self) -> Self;
fn cosh(self) -> Self;
/// Hyperbolic tangent function.
fn tanh(&self) -> Self;
fn tanh(self) -> Self;
/// Inverse hyperbolic sine function.
fn asinh(&self) -> Self;
fn asinh(self) -> Self;
/// Inverse hyperbolic cosine function.
fn acosh(&self) -> Self;
fn acosh(self) -> Self;
/// Inverse hyperbolic tangent function.
fn atanh(&self) -> Self;
fn atanh(self) -> Self;
/// Convert radians to degrees.
fn to_degrees(&self) -> Self;
fn to_degrees(self) -> Self;
/// Convert degrees to radians.
fn to_radians(&self) -> Self;
fn to_radians(self) -> Self;
}
/// A generic trait for converting a value to a number.

8
src/libstd/num/strconv.rs
View File

@ -15,7 +15,7 @@ use clone::Clone;
use container::Container;
use iter::Iterator;
use num::{NumCast, Zero, One, cast, Int};
use num::{Round, Float, FPNaN, FPInfinite, ToPrimitive};
use num::{Float, FPNaN, FPInfinite, ToPrimitive};
use num;
use ops::{Add, Sub, Mul, Div, Rem, Neg};
use option::{None, Option, Some};
@ -258,7 +258,7 @@ pub fn int_to_str_bytes_common<T: Int>(num: T, radix: uint, sign: SignFormat, f:
* - Fails if `radix` > 25 and `exp_format` is `ExpBin` due to conflict
* between digit and exponent sign `'p'`.
*/
pub fn float_to_str_bytes_common<T:NumCast+Zero+One+Eq+Ord+Float+Round+
pub fn float_to_str_bytes_common<T:NumCast+Zero+One+Eq+Ord+Float+
Div<T,T>+Neg<T>+Rem<T,T>+Mul<T,T>>(
num: T, radix: uint, negative_zero: bool,
sign: SignFormat, digits: SignificantDigits, exp_format: ExponentFormat, exp_upper: bool
@ -310,7 +310,7 @@ pub fn float_to_str_bytes_common<T:NumCast+Zero+One+Eq+Ord+Float+Round+
ExpNone => unreachable!()
};
(num / exp_base.powf(&exp), cast::<T, i32>(exp).unwrap())
(num / exp_base.powf(exp), cast::<T, i32>(exp).unwrap())
}
}
};
@ -491,7 +491,7 @@ pub fn float_to_str_bytes_common<T:NumCast+Zero+One+Eq+Ord+Float+Round+
* `to_str_bytes_common()`, for details see there.
*/
#[inline]
pub fn float_to_str_common<T:NumCast+Zero+One+Eq+Ord+NumStrConv+Float+Round+
pub fn float_to_str_common<T:NumCast+Zero+One+Eq+Ord+NumStrConv+Float+
Div<T,T>+Neg<T>+Rem<T,T>+Mul<T,T>>(
num: T, radix: uint, negative_zero: bool,
sign: SignFormat, digits: SignificantDigits, exp_format: ExponentFormat, exp_capital: bool

2
src/libstd/prelude.rs
View File

@ -45,7 +45,7 @@ pub use iter::{FromIterator, Extendable};
pub use iter::{Iterator, DoubleEndedIterator, RandomAccessIterator, CloneableIterator};
pub use iter::{OrdIterator, MutableDoubleEndedIterator, ExactSize};
pub use num::{Num, NumCast, CheckedAdd, CheckedSub, CheckedMul};
pub use num::{Signed, Unsigned, Round};
pub use num::{Signed, Unsigned};
pub use num::{Primitive, Int, Float, ToPrimitive, FromPrimitive};
pub use path::{GenericPath, Path, PosixPath, WindowsPath};
pub use ptr::RawPtr;

4
src/libtest/stats.rs
View File

@ -352,8 +352,8 @@ pub fn write_boxplot(w: &mut io::Writer, s: &Summary,
let (q1,q2,q3) = s.quartiles;
// the .abs() handles the case where numbers are negative
let lomag = (10.0_f64).powf(&(s.min.abs().log10().floor()));
let himag = (10.0_f64).powf(&(s.max.abs().log10().floor()));
let lomag = 10.0_f64.powf(s.min.abs().log10().floor());
let himag = 10.0_f64.powf(s.max.abs().log10().floor());
// need to consider when the limit is zero
let lo = if lomag == 0.0 {