// Copyright 2012 The Rust Project Developers. See the COPYRIGHT // file at the top-level directory of this distribution and at // http://rust-lang.org/COPYRIGHT. // // Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or // http://www.apache.org/licenses/LICENSE-2.0> or the MIT license // <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your // option. This file may not be copied, modified, or distributed // except according to those terms. //! Operations and constants for `f32` use from_str; use libc::c_int; use num::{Zero, One, strconv}; use prelude::*; pub use cmath::c_float_targ_consts::*; // An inner module is required to get the #[inline(always)] attribute on the // functions. pub use self::delegated::*; macro_rules! delegate( ( $( fn $name:ident( $( $arg:ident : $arg_ty:ty ),* ) -> $rv:ty = $bound_name:path ),* ) => ( mod delegated { use cmath::c_float_utils; use libc::{c_float, c_int}; use unstable::intrinsics; $( #[inline(always)] pub fn $name($( $arg : $arg_ty ),*) -> $rv { unsafe { $bound_name($( $arg ),*) } } )* } ) ) delegate!( // intrinsics fn abs(n: f32) -> f32 = intrinsics::fabsf32, fn cos(n: f32) -> f32 = intrinsics::cosf32, fn exp(n: f32) -> f32 = intrinsics::expf32, fn exp2(n: f32) -> f32 = intrinsics::exp2f32, fn floor(x: f32) -> f32 = intrinsics::floorf32, fn ln(n: f32) -> f32 = intrinsics::logf32, fn log10(n: f32) -> f32 = intrinsics::log10f32, fn log2(n: f32) -> f32 = intrinsics::log2f32, fn mul_add(a: f32, b: f32, c: f32) -> f32 = intrinsics::fmaf32, fn pow(n: f32, e: f32) -> f32 = intrinsics::powf32, fn powi(n: f32, e: c_int) -> f32 = intrinsics::powif32, fn sin(n: f32) -> f32 = intrinsics::sinf32, fn sqrt(n: f32) -> f32 = intrinsics::sqrtf32, // LLVM 3.3 required to use intrinsics for these four fn ceil(n: c_float) -> c_float = c_float_utils::ceil, fn trunc(n: c_float) -> c_float = c_float_utils::trunc, /* fn ceil(n: f32) -> f32 = intrinsics::ceilf32, fn trunc(n: f32) -> f32 = intrinsics::truncf32, fn rint(n: f32) -> f32 = intrinsics::rintf32, fn nearbyint(n: f32) -> f32 = intrinsics::nearbyintf32, */ // cmath fn acos(n: c_float) -> c_float = c_float_utils::acos, fn asin(n: c_float) -> c_float = c_float_utils::asin, fn atan(n: c_float) -> c_float = c_float_utils::atan, fn atan2(a: c_float, b: c_float) -> c_float = c_float_utils::atan2, fn cbrt(n: c_float) -> c_float = c_float_utils::cbrt, fn copysign(x: c_float, y: c_float) -> c_float = c_float_utils::copysign, fn cosh(n: c_float) -> c_float = c_float_utils::cosh, fn erf(n: c_float) -> c_float = c_float_utils::erf, fn erfc(n: c_float) -> c_float = c_float_utils::erfc, fn expm1(n: c_float) -> c_float = c_float_utils::expm1, fn abs_sub(a: c_float, b: c_float) -> c_float = c_float_utils::abs_sub, fn fmax(a: c_float, b: c_float) -> c_float = c_float_utils::fmax, fn fmin(a: c_float, b: c_float) -> c_float = c_float_utils::fmin, fn nextafter(x: c_float, y: c_float) -> c_float = c_float_utils::nextafter, fn frexp(n: c_float, value: &mut c_int) -> c_float = c_float_utils::frexp, fn hypot(x: c_float, y: c_float) -> c_float = c_float_utils::hypot, fn ldexp(x: c_float, n: c_int) -> c_float = c_float_utils::ldexp, fn lgamma(n: c_float, sign: &mut c_int) -> c_float = c_float_utils::lgamma, fn log_radix(n: c_float) -> c_float = c_float_utils::log_radix, fn ln1p(n: c_float) -> c_float = c_float_utils::ln1p, fn ilog_radix(n: c_float) -> c_int = c_float_utils::ilog_radix, fn modf(n: c_float, iptr: &mut c_float) -> c_float = c_float_utils::modf, fn round(n: c_float) -> c_float = c_float_utils::round, fn ldexp_radix(n: c_float, i: c_int) -> c_float = c_float_utils::ldexp_radix, fn sinh(n: c_float) -> c_float = c_float_utils::sinh, fn tan(n: c_float) -> c_float = c_float_utils::tan, fn tanh(n: c_float) -> c_float = c_float_utils::tanh, fn tgamma(n: c_float) -> c_float = c_float_utils::tgamma) // These are not defined inside consts:: for consistency with // the integer types pub static NaN: f32 = 0.0_f32/0.0_f32; pub static infinity: f32 = 1.0_f32/0.0_f32; pub static neg_infinity: f32 = -1.0_f32/0.0_f32; #[inline(always)] pub fn is_NaN(f: f32) -> bool { f != f } #[inline(always)] pub fn add(x: f32, y: f32) -> f32 { return x + y; } #[inline(always)] pub fn sub(x: f32, y: f32) -> f32 { return x - y; } #[inline(always)] pub fn mul(x: f32, y: f32) -> f32 { return x * y; } #[inline(always)] pub fn quot(x: f32, y: f32) -> f32 { return x / y; } #[inline(always)] pub fn rem(x: f32, y: f32) -> f32 { return x % y; } #[inline(always)] pub fn lt(x: f32, y: f32) -> bool { return x < y; } #[inline(always)] pub fn le(x: f32, y: f32) -> bool { return x <= y; } #[inline(always)] pub fn eq(x: f32, y: f32) -> bool { return x == y; } #[inline(always)] pub fn ne(x: f32, y: f32) -> bool { return x != y; } #[inline(always)] pub fn ge(x: f32, y: f32) -> bool { return x >= y; } #[inline(always)] pub fn gt(x: f32, y: f32) -> bool { return x > y; } // FIXME (#1999): replace the predicates below with llvm intrinsics or // calls to the libmath macros in the rust runtime for performance. /// Returns true if `x`is an infinite number #[inline(always)] pub fn is_infinite(x: f32) -> bool { return x == infinity || x == neg_infinity; } /// Returns true if `x`is a finite number #[inline(always)] pub fn is_finite(x: f32) -> bool { return !(is_NaN(x) || is_infinite(x)); } // FIXME (#1999): add is_normal, is_subnormal, and fpclassify. /* Module: consts */ pub mod consts { // FIXME (requires Issue #1433 to fix): replace with mathematical // staticants from cmath. /// Archimedes' staticant pub static pi: f32 = 3.14159265358979323846264338327950288_f32; /// pi/2.0 pub static frac_pi_2: f32 = 1.57079632679489661923132169163975144_f32; /// pi/4.0 pub static frac_pi_4: f32 = 0.785398163397448309615660845819875721_f32; /// 1.0/pi pub static frac_1_pi: f32 = 0.318309886183790671537767526745028724_f32; /// 2.0/pi pub static frac_2_pi: f32 = 0.636619772367581343075535053490057448_f32; /// 2.0/sqrt(pi) pub static frac_2_sqrtpi: f32 = 1.12837916709551257389615890312154517_f32; /// sqrt(2.0) pub static sqrt2: f32 = 1.41421356237309504880168872420969808_f32; /// 1.0/sqrt(2.0) pub static frac_1_sqrt2: f32 = 0.707106781186547524400844362104849039_f32; /// Euler's number pub static e: f32 = 2.71828182845904523536028747135266250_f32; /// log2(e) pub static log2_e: f32 = 1.44269504088896340735992468100189214_f32; /// log10(e) pub static log10_e: f32 = 0.434294481903251827651128918916605082_f32; /// ln(2.0) pub static ln_2: f32 = 0.693147180559945309417232121458176568_f32; /// ln(10.0) pub static ln_10: f32 = 2.30258509299404568401799145468436421_f32; } #[inline(always)] pub fn logarithm(n: f32, b: f32) -> f32 { return log2(n) / log2(b); } impl Num for f32 {} #[cfg(notest)] impl Eq for f32 { #[inline(always)] fn eq(&self, other: &f32) -> bool { (*self) == (*other) } #[inline(always)] fn ne(&self, other: &f32) -> bool { (*self) != (*other) } } #[cfg(notest)] impl Ord for f32 { #[inline(always)] fn lt(&self, other: &f32) -> bool { (*self) < (*other) } #[inline(always)] fn le(&self, other: &f32) -> bool { (*self) <= (*other) } #[inline(always)] fn ge(&self, other: &f32) -> bool { (*self) >= (*other) } #[inline(always)] fn gt(&self, other: &f32) -> bool { (*self) > (*other) } } impl Zero for f32 { #[inline(always)] fn zero() -> f32 { 0.0 } /// Returns true if the number is equal to either `0.0` or `-0.0` #[inline(always)] fn is_zero(&self) -> bool { *self == 0.0 || *self == -0.0 } } impl One for f32 { #[inline(always)] fn one() -> f32 { 1.0 } } #[cfg(notest)] impl Add<f32,f32> for f32 { #[inline(always)] fn add(&self, other: &f32) -> f32 { *self + *other } } #[cfg(notest)] impl Sub<f32,f32> for f32 { #[inline(always)] fn sub(&self, other: &f32) -> f32 { *self - *other } } #[cfg(notest)] impl Mul<f32,f32> for f32 { #[inline(always)] fn mul(&self, other: &f32) -> f32 { *self * *other } } #[cfg(stage0,notest)] impl Div<f32,f32> for f32 { #[inline(always)] fn div(&self, other: &f32) -> f32 { *self / *other } } #[cfg(not(stage0),notest)] impl Quot<f32,f32> for f32 { #[inline(always)] fn quot(&self, other: &f32) -> f32 { *self / *other } } #[cfg(stage0,notest)] impl Modulo<f32,f32> for f32 { #[inline(always)] fn modulo(&self, other: &f32) -> f32 { *self % *other } } #[cfg(not(stage0),notest)] impl Rem<f32,f32> for f32 { #[inline(always)] fn rem(&self, other: &f32) -> f32 { *self % *other } } #[cfg(notest)] impl Neg<f32> for f32 { #[inline(always)] fn neg(&self) -> f32 { -*self } } impl Signed for f32 { /// Computes the absolute value. Returns `NaN` if the number is `NaN`. #[inline(always)] fn abs(&self) -> f32 { abs(*self) } /** * # Returns * * - `1.0` if the number is positive, `+0.0` or `infinity` * - `-1.0` if the number is negative, `-0.0` or `neg_infinity` * - `NaN` if the number is `NaN` */ #[inline(always)] fn signum(&self) -> f32 { if is_NaN(*self) { NaN } else { copysign(1.0, *self) } } /// Returns `true` if the number is positive, including `+0.0` and `infinity` #[inline(always)] fn is_positive(&self) -> bool { *self > 0.0 || (1.0 / *self) == infinity } /// Returns `true` if the number is negative, including `-0.0` and `neg_infinity` #[inline(always)] 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(always)] fn floor(&self) -> f32 { floor(*self) } /// Round half-way cases toward `infinity` #[inline(always)] fn ceil(&self) -> f32 { ceil(*self) } /// Round half-way cases away from `0.0` #[inline(always)] fn round(&self) -> f32 { round(*self) } /// The integer part of the number (rounds towards `0.0`) #[inline(always)] fn trunc(&self) -> f32 { trunc(*self) } /// /// The fractional part of the number, satisfying: /// /// ~~~ /// assert!(x == trunc(x) + fract(x)) /// ~~~ /// #[inline(always)] fn fract(&self) -> f32 { *self - self.trunc() } } impl Fractional for f32 { /// The reciprocal (multiplicative inverse) of the number #[inline(always)] fn recip(&self) -> f32 { 1.0 / *self } } impl Real for f32 { /// Archimedes' constant #[inline(always)] fn pi() -> f32 { 3.14159265358979323846264338327950288 } /// 2.0 * pi #[inline(always)] fn two_pi() -> f32 { 6.28318530717958647692528676655900576 } /// pi / 2.0 #[inline(always)] fn frac_pi_2() -> f32 { 1.57079632679489661923132169163975144 } /// pi / 3.0 #[inline(always)] fn frac_pi_3() -> f32 { 1.04719755119659774615421446109316763 } /// pi / 4.0 #[inline(always)] fn frac_pi_4() -> f32 { 0.785398163397448309615660845819875721 } /// pi / 6.0 #[inline(always)] fn frac_pi_6() -> f32 { 0.52359877559829887307710723054658381 } /// pi / 8.0 #[inline(always)] fn frac_pi_8() -> f32 { 0.39269908169872415480783042290993786 } /// 1 .0/ pi #[inline(always)] fn frac_1_pi() -> f32 { 0.318309886183790671537767526745028724 } /// 2.0 / pi #[inline(always)] fn frac_2_pi() -> f32 { 0.636619772367581343075535053490057448 } /// 2.0 / sqrt(pi) #[inline(always)] fn frac_2_sqrtpi() -> f32 { 1.12837916709551257389615890312154517 } /// sqrt(2.0) #[inline(always)] fn sqrt2() -> f32 { 1.41421356237309504880168872420969808 } /// 1.0 / sqrt(2.0) #[inline(always)] fn frac_1_sqrt2() -> f32 { 0.707106781186547524400844362104849039 } /// Euler's number #[inline(always)] fn e() -> f32 { 2.71828182845904523536028747135266250 } /// log2(e) #[inline(always)] fn log2_e() -> f32 { 1.44269504088896340735992468100189214 } /// log10(e) #[inline(always)] fn log10_e() -> f32 { 0.434294481903251827651128918916605082 } /// log(2.0) #[inline(always)] fn log_2() -> f32 { 0.693147180559945309417232121458176568 } /// log(10.0) #[inline(always)] fn log_10() -> f32 { 2.30258509299404568401799145468436421 } #[inline(always)] fn pow(&self, n: f32) -> f32 { pow(*self, n) } #[inline(always)] fn exp(&self) -> f32 { exp(*self) } #[inline(always)] fn exp2(&self) -> f32 { exp2(*self) } #[inline(always)] fn expm1(&self) -> f32 { expm1(*self) } #[inline(always)] fn ldexp(&self, n: int) -> f32 { ldexp(*self, n as c_int) } #[inline(always)] fn log(&self) -> f32 { ln(*self) } #[inline(always)] fn log2(&self) -> f32 { log2(*self) } #[inline(always)] fn log10(&self) -> f32 { log10(*self) } #[inline(always)] fn log_radix(&self) -> f32 { log_radix(*self) as f32 } #[inline(always)] fn ilog_radix(&self) -> int { ilog_radix(*self) as int } #[inline(always)] fn sqrt(&self) -> f32 { sqrt(*self) } #[inline(always)] fn rsqrt(&self) -> f32 { self.sqrt().recip() } #[inline(always)] fn cbrt(&self) -> f32 { cbrt(*self) } /// Converts to degrees, assuming the number is in radians #[inline(always)] fn to_degrees(&self) -> f32 { *self * (180.0 / Real::pi::<f32>()) } /// Converts to radians, assuming the number is in degrees #[inline(always)] fn to_radians(&self) -> f32 { *self * (Real::pi::<f32>() / 180.0) } #[inline(always)] fn hypot(&self, other: f32) -> f32 { hypot(*self, other) } #[inline(always)] fn sin(&self) -> f32 { sin(*self) } #[inline(always)] fn cos(&self) -> f32 { cos(*self) } #[inline(always)] fn tan(&self) -> f32 { tan(*self) } #[inline(always)] fn asin(&self) -> f32 { asin(*self) } #[inline(always)] fn acos(&self) -> f32 { acos(*self) } #[inline(always)] fn atan(&self) -> f32 { atan(*self) } #[inline(always)] fn atan2(&self, other: f32) -> f32 { atan2(*self, other) } #[inline(always)] fn sinh(&self) -> f32 { sinh(*self) } #[inline(always)] fn cosh(&self) -> f32 { cosh(*self) } #[inline(always)] fn tanh(&self) -> f32 { tanh(*self) } } /** * Section: String Conversions */ /** * Converts a float to a string * * # Arguments * * * num - The float value */ #[inline(always)] pub fn to_str(num: f32) -> ~str { let (r, _) = strconv::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(always)] pub fn to_str_hex(num: f32) -> ~str { let (r, _) = strconv::to_str_common( &num, 16u, true, strconv::SignNeg, strconv::DigAll); r } /** * 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(always)] pub fn to_str_radix(num: f32, rdx: uint) -> ~str { let (r, special) = strconv::to_str_common( &num, rdx, true, strconv::SignNeg, strconv::DigAll); if special { fail!(~"number has a special value, \ try to_str_radix_special() if those are expected") } 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(always)] pub fn to_str_radix_special(num: f32, rdx: uint) -> (~str, bool) { strconv::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(always)] pub fn to_str_exact(num: f32, dig: uint) -> ~str { let (r, _) = strconv::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(always)] pub fn to_str_digits(num: f32, dig: uint) -> ~str { let (r, _) = strconv::to_str_common( &num, 10u, true, strconv::SignNeg, strconv::DigMax(dig)); r } impl to_str::ToStr for f32 { #[inline(always)] fn to_str(&self) -> ~str { to_str_digits(*self, 8) } } impl num::ToStrRadix for f32 { #[inline(always)] fn to_str_radix(&self, rdx: uint) -> ~str { to_str_radix(*self, rdx) } } /** * 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(always)] pub fn from_str(num: &str) -> Option<f32> { strconv::from_str_common(num, 10u, true, true, true, strconv::ExpDec, false, false) } /** * 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(always)] pub fn from_str_hex(num: &str) -> Option<f32> { strconv::from_str_common(num, 16u, true, true, true, strconv::ExpBin, false, false) } /** * 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(always)] pub fn from_str_radix(num: &str, rdx: uint) -> Option<f32> { strconv::from_str_common(num, rdx, true, true, false, strconv::ExpNone, false, false) } impl from_str::FromStr for f32 { #[inline(always)] fn from_str(val: &str) -> Option<f32> { from_str(val) } } impl num::FromStrRadix for f32 { #[inline(always)] fn from_str_radix(val: &str, rdx: uint) -> Option<f32> { from_str_radix(val, rdx) } } #[cfg(test)] mod tests { use f32::*; use super::*; use prelude::*; macro_rules! assert_fuzzy_eq( ($a:expr, $b:expr) => ({ let a = $a, b = $b; if !((a - b).abs() < 1.0e-6) { fail!(fmt!("The values were not approximately equal. Found: %? and %?", a, b)); } }) ) #[test] fn test_num() { num::test_num(10f32, 2f32); } #[test] fn test_floor() { assert_fuzzy_eq!(1.0f32.floor(), 1.0f32); assert_fuzzy_eq!(1.3f32.floor(), 1.0f32); assert_fuzzy_eq!(1.5f32.floor(), 1.0f32); assert_fuzzy_eq!(1.7f32.floor(), 1.0f32); assert_fuzzy_eq!(0.0f32.floor(), 0.0f32); assert_fuzzy_eq!((-0.0f32).floor(), -0.0f32); assert_fuzzy_eq!((-1.0f32).floor(), -1.0f32); assert_fuzzy_eq!((-1.3f32).floor(), -2.0f32); assert_fuzzy_eq!((-1.5f32).floor(), -2.0f32); assert_fuzzy_eq!((-1.7f32).floor(), -2.0f32); } #[test] fn test_ceil() { assert_fuzzy_eq!(1.0f32.ceil(), 1.0f32); assert_fuzzy_eq!(1.3f32.ceil(), 2.0f32); assert_fuzzy_eq!(1.5f32.ceil(), 2.0f32); assert_fuzzy_eq!(1.7f32.ceil(), 2.0f32); assert_fuzzy_eq!(0.0f32.ceil(), 0.0f32); assert_fuzzy_eq!((-0.0f32).ceil(), -0.0f32); assert_fuzzy_eq!((-1.0f32).ceil(), -1.0f32); assert_fuzzy_eq!((-1.3f32).ceil(), -1.0f32); assert_fuzzy_eq!((-1.5f32).ceil(), -1.0f32); assert_fuzzy_eq!((-1.7f32).ceil(), -1.0f32); } #[test] fn test_round() { assert_fuzzy_eq!(1.0f32.round(), 1.0f32); assert_fuzzy_eq!(1.3f32.round(), 1.0f32); assert_fuzzy_eq!(1.5f32.round(), 2.0f32); assert_fuzzy_eq!(1.7f32.round(), 2.0f32); assert_fuzzy_eq!(0.0f32.round(), 0.0f32); assert_fuzzy_eq!((-0.0f32).round(), -0.0f32); assert_fuzzy_eq!((-1.0f32).round(), -1.0f32); assert_fuzzy_eq!((-1.3f32).round(), -1.0f32); assert_fuzzy_eq!((-1.5f32).round(), -2.0f32); assert_fuzzy_eq!((-1.7f32).round(), -2.0f32); } #[test] fn test_trunc() { assert_fuzzy_eq!(1.0f32.trunc(), 1.0f32); assert_fuzzy_eq!(1.3f32.trunc(), 1.0f32); assert_fuzzy_eq!(1.5f32.trunc(), 1.0f32); assert_fuzzy_eq!(1.7f32.trunc(), 1.0f32); assert_fuzzy_eq!(0.0f32.trunc(), 0.0f32); assert_fuzzy_eq!((-0.0f32).trunc(), -0.0f32); assert_fuzzy_eq!((-1.0f32).trunc(), -1.0f32); assert_fuzzy_eq!((-1.3f32).trunc(), -1.0f32); assert_fuzzy_eq!((-1.5f32).trunc(), -1.0f32); assert_fuzzy_eq!((-1.7f32).trunc(), -1.0f32); } #[test] fn test_fract() { assert_fuzzy_eq!(1.0f32.fract(), 0.0f32); assert_fuzzy_eq!(1.3f32.fract(), 0.3f32); assert_fuzzy_eq!(1.5f32.fract(), 0.5f32); assert_fuzzy_eq!(1.7f32.fract(), 0.7f32); assert_fuzzy_eq!(0.0f32.fract(), 0.0f32); assert_fuzzy_eq!((-0.0f32).fract(), -0.0f32); assert_fuzzy_eq!((-1.0f32).fract(), -0.0f32); assert_fuzzy_eq!((-1.3f32).fract(), -0.3f32); assert_fuzzy_eq!((-1.5f32).fract(), -0.5f32); assert_fuzzy_eq!((-1.7f32).fract(), -0.7f32); } #[test] fn test_real_consts() { assert_fuzzy_eq!(Real::two_pi::<f32>(), 2f32 * Real::pi::<f32>()); assert_fuzzy_eq!(Real::frac_pi_2::<f32>(), Real::pi::<f32>() / 2f32); assert_fuzzy_eq!(Real::frac_pi_3::<f32>(), Real::pi::<f32>() / 3f32); assert_fuzzy_eq!(Real::frac_pi_4::<f32>(), Real::pi::<f32>() / 4f32); assert_fuzzy_eq!(Real::frac_pi_6::<f32>(), Real::pi::<f32>() / 6f32); assert_fuzzy_eq!(Real::frac_pi_8::<f32>(), Real::pi::<f32>() / 8f32); assert_fuzzy_eq!(Real::frac_1_pi::<f32>(), 1f32 / Real::pi::<f32>()); assert_fuzzy_eq!(Real::frac_2_pi::<f32>(), 2f32 / Real::pi::<f32>()); assert_fuzzy_eq!(Real::frac_2_sqrtpi::<f32>(), 2f32 / Real::pi::<f32>().sqrt()); assert_fuzzy_eq!(Real::sqrt2::<f32>(), 2f32.sqrt()); assert_fuzzy_eq!(Real::frac_1_sqrt2::<f32>(), 1f32 / 2f32.sqrt()); assert_fuzzy_eq!(Real::log2_e::<f32>(), Real::e::<f32>().log2()); assert_fuzzy_eq!(Real::log10_e::<f32>(), Real::e::<f32>().log10()); assert_fuzzy_eq!(Real::log_2::<f32>(), 2f32.log()); assert_fuzzy_eq!(Real::log_10::<f32>(), 10f32.log()); } #[test] pub fn test_signed() { 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!(is_NaN(NaN.abs())); 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!(is_NaN(NaN.signum())); 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()); 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()); } } // // Local Variables: // mode: rust // fill-column: 78; // indent-tabs-mode: nil // c-basic-offset: 4 // buffer-file-coding-system: utf-8-unix // End: //