[rustc.git] / src / libcore / num / f32.rs

// Copyright 2012-2014 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.

//! Operations and constants for 32-bits floats (`f32` type)

#![doc(primitive = "f32")]
// FIXME: MIN_VALUE and MAX_VALUE literals are parsed as -inf and inf #14353
#![allow(overflowing_literals)]

#![stable]

use intrinsics;
use mem;
use num::Float;
use num::FpCategory as Fp;
use option::Option;

#[unstable = "pending integer conventions"]
pub const RADIX: uint = 2u;

#[unstable = "pending integer conventions"]
pub const MANTISSA_DIGITS: uint = 24u;
#[unstable = "pending integer conventions"]
pub const DIGITS: uint = 6u;

#[stable]
pub const EPSILON: f32 = 1.19209290e-07_f32;

/// Smallest finite f32 value
#[stable]
pub const MIN_VALUE: f32 = -3.40282347e+38_f32;
/// Smallest positive, normalized f32 value
#[stable]
pub const MIN_POS_VALUE: f32 = 1.17549435e-38_f32;
/// Largest finite f32 value
#[stable]
pub const MAX_VALUE: f32 = 3.40282347e+38_f32;

#[unstable = "pending integer conventions"]
pub const MIN_EXP: int = -125;
#[unstable = "pending integer conventions"]
pub const MAX_EXP: int = 128;

#[unstable = "pending integer conventions"]
pub const MIN_10_EXP: int = -37;
#[unstable = "pending integer conventions"]
pub const MAX_10_EXP: int = 38;

#[stable]
pub const NAN: f32 = 0.0_f32/0.0_f32;
#[stable]
pub const INFINITY: f32 = 1.0_f32/0.0_f32;
#[stable]
pub const NEG_INFINITY: f32 = -1.0_f32/0.0_f32;

/// Various useful constants.
#[unstable = "naming scheme needs to be revisited"]
pub mod consts {
    // FIXME: replace with mathematical constants from cmath.

    /// Archimedes' constant
    pub const PI: f32 = 3.14159265358979323846264338327950288_f32;

    /// pi * 2.0
    pub const PI_2: f32 = 6.28318530717958647692528676655900576_f32;

    /// pi/2.0
    pub const FRAC_PI_2: f32 = 1.57079632679489661923132169163975144_f32;

    /// pi/3.0
    pub const FRAC_PI_3: f32 = 1.04719755119659774615421446109316763_f32;

    /// pi/4.0
    pub const FRAC_PI_4: f32 = 0.785398163397448309615660845819875721_f32;

    /// pi/6.0
    pub const FRAC_PI_6: f32 = 0.52359877559829887307710723054658381_f32;

    /// pi/8.0
    pub const FRAC_PI_8: f32 = 0.39269908169872415480783042290993786_f32;

    /// 1.0/pi
    pub const FRAC_1_PI: f32 = 0.318309886183790671537767526745028724_f32;

    /// 2.0/pi
    pub const FRAC_2_PI: f32 = 0.636619772367581343075535053490057448_f32;

    /// 2.0/sqrt(pi)
    pub const FRAC_2_SQRTPI: f32 = 1.12837916709551257389615890312154517_f32;

    /// sqrt(2.0)
    pub const SQRT2: f32 = 1.41421356237309504880168872420969808_f32;

    /// 1.0/sqrt(2.0)
    pub const FRAC_1_SQRT2: f32 = 0.707106781186547524400844362104849039_f32;

    /// Euler's number
    pub const E: f32 = 2.71828182845904523536028747135266250_f32;

    /// log2(e)
    pub const LOG2_E: f32 = 1.44269504088896340735992468100189214_f32;

    /// log10(e)
    pub const LOG10_E: f32 = 0.434294481903251827651128918916605082_f32;

    /// ln(2.0)
    pub const LN_2: f32 = 0.693147180559945309417232121458176568_f32;

    /// ln(10.0)
    pub const LN_10: f32 = 2.30258509299404568401799145468436421_f32;
}

#[unstable = "trait is unstable"]
impl Float for f32 {
    #[inline]
    fn nan() -> f32 { NAN }

    #[inline]
    fn infinity() -> f32 { INFINITY }

    #[inline]
    fn neg_infinity() -> f32 { NEG_INFINITY }

    #[inline]
    fn zero() -> f32 { 0.0 }

    #[inline]
    fn neg_zero() -> f32 { -0.0 }

    #[inline]
    fn one() -> f32 { 1.0 }

    /// 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() == Fp::Normal
    }

    /// Returns the floating point category of the number. If only one property
    /// is going to be tested, it is generally faster to use the specific
    /// predicate instead.
    fn classify(self) -> Fp {
        const EXP_MASK: u32 = 0x7f800000;
        const MAN_MASK: u32 = 0x007fffff;

        let bits: u32 = unsafe { mem::transmute(self) };
        match (bits & MAN_MASK, bits & EXP_MASK) {
            (0, 0)        => Fp::Zero,
            (_, 0)        => Fp::Subnormal,
            (0, EXP_MASK) => Fp::Infinite,
            (_, EXP_MASK) => Fp::Nan,
            _             => Fp::Normal,
        }
    }

    #[inline]
    #[deprecated]
    fn mantissa_digits(_: Option<f32>) -> uint { MANTISSA_DIGITS }

    #[inline]
    #[deprecated]
    fn digits(_: Option<f32>) -> uint { DIGITS }

    #[inline]
    #[deprecated]
    fn epsilon() -> f32 { EPSILON }

    #[inline]
    #[deprecated]
    fn min_exp(_: Option<f32>) -> int { MIN_EXP }

    #[inline]
    #[deprecated]
    fn max_exp(_: Option<f32>) -> int { MAX_EXP }

    #[inline]
    #[deprecated]
    fn min_10_exp(_: Option<f32>) -> int { MIN_10_EXP }

    #[inline]
    #[deprecated]
    fn max_10_exp(_: Option<f32>) -> int { MAX_10_EXP }

    #[inline]
    #[deprecated]
    fn min_value() -> f32 { MIN_VALUE }

    #[inline]
    #[deprecated]
    fn min_pos_value(_: Option<f32>) -> f32 { MIN_POS_VALUE }

    #[inline]
    #[deprecated]
    fn max_value() -> f32 { MAX_VALUE }

    /// Returns the mantissa, exponent and sign as integers.
    fn integer_decode(self) -> (u64, i16, i8) {
        let bits: u32 = unsafe { mem::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)
    }

    /// Rounds towards minus infinity.
    #[inline]
    fn floor(self) -> f32 {
        unsafe { intrinsics::floorf32(self) }
    }

    /// Rounds towards plus infinity.
    #[inline]
    fn ceil(self) -> f32 {
        unsafe { intrinsics::ceilf32(self) }
    }

    /// Rounds to nearest integer. Rounds half-way cases away from zero.
    #[inline]
    fn round(self) -> f32 {
        unsafe { intrinsics::roundf32(self) }
    }

    /// Returns the integer part of the number (rounds towards zero).
    #[inline]
    fn trunc(self) -> f32 {
        unsafe { intrinsics::truncf32(self) }
    }

    /// The fractional part of the number, satisfying:
    ///
    /// ```rust
    /// use core::num::Float;
    ///
    /// let x = 1.65f32;
    /// assert!(x == x.trunc() + x.fract())
    /// ```
    #[inline]
    fn fract(self) -> f32 { self - self.trunc() }

    /// Computes the absolute value of `self`. Returns `Float::nan()` if the
    /// number is `Float::nan()`.
    #[inline]
    fn abs(self) -> f32 {
        unsafe { intrinsics::fabsf32(self) }
    }

    /// Returns a number that represents the sign of `self`.
    ///
    /// - `1.0` if the number is positive, `+0.0` or `Float::infinity()`
    /// - `-1.0` if the number is negative, `-0.0` or `Float::neg_infinity()`
    /// - `Float::nan()` if the number is `Float::nan()`
    #[inline]
    fn signum(self) -> f32 {
        if self.is_nan() {
            Float::nan()
        } else {
            unsafe { intrinsics::copysignf32(1.0, self) }
        }
    }

    /// Returns `true` if `self` is positive, including `+0.0` and
    /// `Float::infinity()`.
    #[inline]
    fn is_positive(self) -> bool {
        self > 0.0 || (1.0 / self) == Float::infinity()
    }

    /// Returns `true` if `self` is negative, including `-0.0` and
    /// `Float::neg_infinity()`.
    #[inline]
    fn is_negative(self) -> bool {
        self < 0.0 || (1.0 / self) == Float::neg_infinity()
    }

    /// 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 reciprocal (multiplicative inverse) of the number.
    #[inline]
    fn recip(self) -> f32 { 1.0 / self }

    #[inline]
    fn powi(self, n: i32) -> f32 {
        unsafe { intrinsics::powif32(self, n) }
    }

    #[inline]
    fn powf(self, n: f32) -> f32 {
        unsafe { intrinsics::powf32(self, n) }
    }

    #[inline]
    fn sqrt(self) -> f32 {
        if self < 0.0 {
            NAN
        } else {
            unsafe { intrinsics::sqrtf32(self) }
        }
    }

    #[inline]
    fn rsqrt(self) -> f32 { self.sqrt().recip() }

    /// Returns the exponential of the number.
    #[inline]
    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) }
    }

    /// Returns the natural logarithm of the number.
    #[inline]
    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() }

    /// Returns the base 2 logarithm of the number.
    #[inline]
    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) }
    }

    /// Converts to degrees, assuming the number is in radians.
    #[inline]
    fn to_degrees(self) -> f32 { self * (180.0f32 / consts::PI) }

    /// Converts to radians, assuming the number is in degrees.
    #[inline]
    fn to_radians(self) -> f32 {
        let value: f32 = consts::PI;
        self * (value / 180.0f32)
    }
}
Commit	Line	Data
1a4d82fc JJ	1	// Copyright 2012-2014 The Rust Project Developers. See the COPYRIGHT
	2	// file at the top-level directory of this distribution and at
	3	// http://rust-lang.org/COPYRIGHT.
	4	//
	5	// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
	6	// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
	7	// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
	8	// option. This file may not be copied, modified, or distributed
	9	// except according to those terms.
	10
	11	//! Operations and constants for 32-bits floats (`f32` type)
	12
	13	#![doc(primitive = "f32")]
	14	// FIXME: MIN_VALUE and MAX_VALUE literals are parsed as -inf and inf #14353
	15	#![allow(overflowing_literals)]
	16
	17	#![stable]
	18
	19	use intrinsics;
	20	use mem;
	21	use num::Float;
	22	use num::FpCategory as Fp;
	23	use option::Option;
	24
	25	#[unstable = "pending integer conventions"]
	26	pub const RADIX: uint = 2u;
	27
	28	#[unstable = "pending integer conventions"]
	29	pub const MANTISSA_DIGITS: uint = 24u;
	30	#[unstable = "pending integer conventions"]
	31	pub const DIGITS: uint = 6u;
	32
	33	#[stable]
	34	pub const EPSILON: f32 = 1.19209290e-07_f32;
	35
	36	/// Smallest finite f32 value
	37	#[stable]
	38	pub const MIN_VALUE: f32 = -3.40282347e+38_f32;
	39	/// Smallest positive, normalized f32 value
	40	#[stable]
	41	pub const MIN_POS_VALUE: f32 = 1.17549435e-38_f32;
	42	/// Largest finite f32 value
	43	#[stable]
	44	pub const MAX_VALUE: f32 = 3.40282347e+38_f32;
	45
	46	#[unstable = "pending integer conventions"]
	47	pub const MIN_EXP: int = -125;
	48	#[unstable = "pending integer conventions"]
	49	pub const MAX_EXP: int = 128;
	50
	51	#[unstable = "pending integer conventions"]
	52	pub const MIN_10_EXP: int = -37;
	53	#[unstable = "pending integer conventions"]
	54	pub const MAX_10_EXP: int = 38;
	55
	56	#[stable]
	57	pub const NAN: f32 = 0.0_f32/0.0_f32;
	58	#[stable]
	59	pub const INFINITY: f32 = 1.0_f32/0.0_f32;
	60	#[stable]
	61	pub const NEG_INFINITY: f32 = -1.0_f32/0.0_f32;
	62
	63	/// Various useful constants.
	64	#[unstable = "naming scheme needs to be revisited"]
65	pub mod consts {
66	// FIXME: replace with mathematical constants from cmath.
67
68	/// Archimedes' constant
69	pub const PI: f32 = 3.14159265358979323846264338327950288_f32;
70
71	/// pi * 2.0
72	pub const PI_2: f32 = 6.28318530717958647692528676655900576_f32;
73
74	/// pi/2.0
75	pub const FRAC_PI_2: f32 = 1.57079632679489661923132169163975144_f32;
76
77	/// pi/3.0
78	pub const FRAC_PI_3: f32 = 1.04719755119659774615421446109316763_f32;
79
80	/// pi/4.0
81	pub const FRAC_PI_4: f32 = 0.785398163397448309615660845819875721_f32;
82
83	/// pi/6.0
84	pub const FRAC_PI_6: f32 = 0.52359877559829887307710723054658381_f32;
85
86	/// pi/8.0
87	pub const FRAC_PI_8: f32 = 0.39269908169872415480783042290993786_f32;
88
89	/// 1.0/pi
90	pub const FRAC_1_PI: f32 = 0.318309886183790671537767526745028724_f32;
91
92	/// 2.0/pi
93	pub const FRAC_2_PI: f32 = 0.636619772367581343075535053490057448_f32;
94
95	/// 2.0/sqrt(pi)
96	pub const FRAC_2_SQRTPI: f32 = 1.12837916709551257389615890312154517_f32;
97
98	/// sqrt(2.0)
99	pub const SQRT2: f32 = 1.41421356237309504880168872420969808_f32;
100
101	/// 1.0/sqrt(2.0)
102	pub const FRAC_1_SQRT2: f32 = 0.707106781186547524400844362104849039_f32;
103
104	/// Euler's number
105	pub const E: f32 = 2.71828182845904523536028747135266250_f32;
106
107	/// log2(e)
108	pub const LOG2_E: f32 = 1.44269504088896340735992468100189214_f32;
109
110	/// log10(e)
111	pub const LOG10_E: f32 = 0.434294481903251827651128918916605082_f32;
112
113	/// ln(2.0)
114	pub const LN_2: f32 = 0.693147180559945309417232121458176568_f32;
115
116	/// ln(10.0)
117	pub const LN_10: f32 = 2.30258509299404568401799145468436421_f32;
118	}
119
120	#[unstable = "trait is unstable"]
121	impl Float for f32 {
122	#[inline]
123	fn nan() -> f32 { NAN }
124
125	#[inline]
126	fn infinity() -> f32 { INFINITY }
127
128	#[inline]
129	fn neg_infinity() -> f32 { NEG_INFINITY }
130
131	#[inline]
132	fn zero() -> f32 { 0.0 }
133
134	#[inline]
135	fn neg_zero() -> f32 { -0.0 }
136
137	#[inline]
138	fn one() -> f32 { 1.0 }
139
140	/// Returns `true` if the number is NaN.
141	#[inline]
142	fn is_nan(self) -> bool { self != self }
143
144	/// Returns `true` if the number is infinite.
145	#[inline]
146	fn is_infinite(self) -> bool {
147	self == Float::infinity() \|\| self == Float::neg_infinity()
148	}
149
150	/// Returns `true` if the number is neither infinite or NaN.
151	#[inline]
152	fn is_finite(self) -> bool {
153	!(self.is_nan() \|\| self.is_infinite())
154	}
155
156	/// Returns `true` if the number is neither zero, infinite, subnormal or NaN.
157	#[inline]
158	fn is_normal(self) -> bool {
159	self.classify() == Fp::Normal
160	}
161
162	/// Returns the floating point category of the number. If only one property
163	/// is going to be tested, it is generally faster to use the specific
164	/// predicate instead.
165	fn classify(self) -> Fp {
166	const EXP_MASK: u32 = 0x7f800000;
167	const MAN_MASK: u32 = 0x007fffff;
168
169	let bits: u32 = unsafe { mem::transmute(self) };
170	match (bits & MAN_MASK, bits & EXP_MASK) {
171	(0, 0) => Fp::Zero,
172	(_, 0) => Fp::Subnormal,
173	(0, EXP_MASK) => Fp::Infinite,
174	(_, EXP_MASK) => Fp::Nan,
175	_ => Fp::Normal,
176	}
177	}
178
179	#[inline]
180	#[deprecated]
181	fn mantissa_digits(_: Option<f32>) -> uint { MANTISSA_DIGITS }
182
183	#[inline]
184	#[deprecated]
185	fn digits(_: Option<f32>) -> uint { DIGITS }
186
187	#[inline]
188	#[deprecated]
189	fn epsilon() -> f32 { EPSILON }
190
191	#[inline]
192	#[deprecated]
193	fn min_exp(_: Option<f32>) -> int { MIN_EXP }
194
195	#[inline]
196	#[deprecated]
197	fn max_exp(_: Option<f32>) -> int { MAX_EXP }
198
199	#[inline]
200	#[deprecated]
201	fn min_10_exp(_: Option<f32>) -> int { MIN_10_EXP }
202
203	#[inline]
204	#[deprecated]
205	fn max_10_exp(_: Option<f32>) -> int { MAX_10_EXP }
206
207	#[inline]
208	#[deprecated]
209	fn min_value() -> f32 { MIN_VALUE }
210
211	#[inline]
212	#[deprecated]
213	fn min_pos_value(_: Option<f32>) -> f32 { MIN_POS_VALUE }
214
215	#[inline]
216	#[deprecated]
217	fn max_value() -> f32 { MAX_VALUE }
218
219	/// Returns the mantissa, exponent and sign as integers.
220	fn integer_decode(self) -> (u64, i16, i8) {
221	let bits: u32 = unsafe { mem::transmute(self) };
222	let sign: i8 = if bits >> 31 == 0 { 1 } else { -1 };
223	let mut exponent: i16 = ((bits >> 23) & 0xff) as i16;
224	let mantissa = if exponent == 0 {
225	(bits & 0x7fffff) << 1
226	} else {
227	(bits & 0x7fffff) \| 0x800000
228	};
229	// Exponent bias + mantissa shift
230	exponent -= 127 + 23;
231	(mantissa as u64, exponent, sign)
232	}
233
234	/// Rounds towards minus infinity.
235	#[inline]
236	fn floor(self) -> f32 {
237	unsafe { intrinsics::floorf32(self) }
238	}
239
240	/// Rounds towards plus infinity.
241	#[inline]
242	fn ceil(self) -> f32 {
243	unsafe { intrinsics::ceilf32(self) }
244	}
245
246	/// Rounds to nearest integer. Rounds half-way cases away from zero.
247	#[inline]
248	fn round(self) -> f32 {
249	unsafe { intrinsics::roundf32(self) }
250	}
251
252	/// Returns the integer part of the number (rounds towards zero).
253	#[inline]
254	fn trunc(self) -> f32 {
255	unsafe { intrinsics::truncf32(self) }
256	}
257
258	/// The fractional part of the number, satisfying:
259	///
260	/// ```rust
261	/// use core::num::Float;
262	///
263	/// let x = 1.65f32;
264	/// assert!(x == x.trunc() + x.fract())
265	/// ```
266	#[inline]
267	fn fract(self) -> f32 { self - self.trunc() }
268
269	/// Computes the absolute value of `self`. Returns `Float::nan()` if the
270	/// number is `Float::nan()`.
271	#[inline]
272	fn abs(self) -> f32 {
273	unsafe { intrinsics::fabsf32(self) }
274	}
275
276	/// Returns a number that represents the sign of `self`.
277	///
278	/// - `1.0` if the number is positive, `+0.0` or `Float::infinity()`
279	/// - `-1.0` if the number is negative, `-0.0` or `Float::neg_infinity()`
280	/// - `Float::nan()` if the number is `Float::nan()`
281	#[inline]
282	fn signum(self) -> f32 {
283	if self.is_nan() {
284	Float::nan()
285	} else {
286	unsafe { intrinsics::copysignf32(1.0, self) }
287	}
288	}
289
290	/// Returns `true` if `self` is positive, including `+0.0` and
291	/// `Float::infinity()`.
292	#[inline]
293	fn is_positive(self) -> bool {
294	self > 0.0 \|\| (1.0 / self) == Float::infinity()
295	}
296
297	/// Returns `true` if `self` is negative, including `-0.0` and
298	/// `Float::neg_infinity()`.
299	#[inline]
300	fn is_negative(self) -> bool {
301	self < 0.0 \|\| (1.0 / self) == Float::neg_infinity()
302	}
303
304	/// Fused multiply-add. Computes `(self * a) + b` with only one rounding
305	/// error. This produces a more accurate result with better performance than
306	/// a separate multiplication operation followed by an add.
307	#[inline]
308	fn mul_add(self, a: f32, b: f32) -> f32 {
309	unsafe { intrinsics::fmaf32(self, a, b) }
310	}
311
312	/// Returns the reciprocal (multiplicative inverse) of the number.
313	#[inline]
314	fn recip(self) -> f32 { 1.0 / self }
315
316	#[inline]
317	fn powi(self, n: i32) -> f32 {
318	unsafe { intrinsics::powif32(self, n) }
319	}
320
321	#[inline]
322	fn powf(self, n: f32) -> f32 {
323	unsafe { intrinsics::powf32(self, n) }
324	}
325
326	#[inline]
327	fn sqrt(self) -> f32 {
328	if self < 0.0 {
329	NAN
330	} else {
331	unsafe { intrinsics::sqrtf32(self) }
332	}
333	}
334
335	#[inline]
336	fn rsqrt(self) -> f32 { self.sqrt().recip() }
337
338	/// Returns the exponential of the number.
339	#[inline]
340	fn exp(self) -> f32 {
341	unsafe { intrinsics::expf32(self) }
342	}
343
344	/// Returns 2 raised to the power of the number.
345	#[inline]
346	fn exp2(self) -> f32 {
347	unsafe { intrinsics::exp2f32(self) }
348	}
349
350	/// Returns the natural logarithm of the number.
351	#[inline]
352	fn ln(self) -> f32 {
353	unsafe { intrinsics::logf32(self) }
354	}
355
356	/// Returns the logarithm of the number with respect to an arbitrary base.
357	#[inline]
358	fn log(self, base: f32) -> f32 { self.ln() / base.ln() }
359
360	/// Returns the base 2 logarithm of the number.
361	#[inline]
362	fn log2(self) -> f32 {
363	unsafe { intrinsics::log2f32(self) }
364	}
365
366	/// Returns the base 10 logarithm of the number.
367	#[inline]
368	fn log10(self) -> f32 {
369	unsafe { intrinsics::log10f32(self) }
370	}
371
372	/// Converts to degrees, assuming the number is in radians.
373	#[inline]
374	fn to_degrees(self) -> f32 { self * (180.0f32 / consts::PI) }
375
376	/// Converts to radians, assuming the number is in degrees.
377	#[inline]
378	fn to_radians(self) -> f32 {
379	let value: f32 = consts::PI;
380	self * (value / 180.0f32)
381	}
382	}