2011-12-13 19:52:02 -06:00
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/*
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Module: f32
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Floating point operations and constants for `f32`
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*/
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2011-12-27 19:20:14 -06:00
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2011-12-22 19:31:24 -06:00
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// PORT
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2011-12-13 19:52:02 -06:00
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2011-12-22 19:31:24 -06:00
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import cmath::c_float::*;
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2011-12-22 05:54:38 -06:00
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2011-12-22 19:31:24 -06:00
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type t = f32;
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2011-12-22 08:19:43 -06:00
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2011-12-27 19:20:14 -06:00
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// These are not defined inside consts:: for consistency with
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// the integer types
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// PORT check per architecture
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2012-01-04 17:11:25 -06:00
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// FIXME obtain these in a different way
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2011-12-27 19:20:14 -06:00
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const radix: uint = 2u;
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const mantissa_digits: uint = 24u;
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const digits: uint = 6u;
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const epsilon: f32 = 1.19209290e-07_f32;
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const min_value: f32 = 1.17549435e-38_f32;
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const max_value: f32 = 3.40282347e+38_f32;
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const min_exp: int = -125;
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const max_exp: int = 128;
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const min_10_exp: int = -37;
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const max_10_exp: int = 38;
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2011-12-22 19:31:24 -06:00
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/* Const: NaN */
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2011-12-27 19:20:14 -06:00
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const NaN: f32 = 0.0_f32/0.0_f32;
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2011-12-22 08:19:43 -06:00
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2011-12-22 19:31:24 -06:00
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/* Const: infinity */
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2011-12-27 19:20:14 -06:00
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const infinity: f32 = 1.0_f32/0.0_f32;
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2011-12-13 19:52:02 -06:00
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2011-12-22 19:31:24 -06:00
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/* Const: neg_infinity */
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2011-12-27 19:20:14 -06:00
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const neg_infinity: f32 = -1.0_f32/0.0_f32;
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/* Predicate: isNaN */
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pure fn is_NaN(f: f32) -> bool { f != f }
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/* Function: add */
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pure fn add(x: f32, y: f32) -> f32 { ret x + y; }
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/* Function: sub */
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pure fn sub(x: f32, y: f32) -> f32 { ret x - y; }
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/* Function: mul */
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pure fn mul(x: f32, y: f32) -> f32 { ret x * y; }
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/* Function: div */
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pure fn div(x: f32, y: f32) -> f32 { ret x / y; }
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/* Function: rem */
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pure fn rem(x: f32, y: f32) -> f32 { ret x % y; }
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/* Predicate: lt */
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pure fn lt(x: f32, y: f32) -> bool { ret x < y; }
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/* Predicate: le */
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pure fn le(x: f32, y: f32) -> bool { ret x <= y; }
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/* Predicate: eq */
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pure fn eq(x: f32, y: f32) -> bool { ret x == y; }
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/* Predicate: ne */
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pure fn ne(x: f32, y: f32) -> bool { ret x != y; }
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/* Predicate: ge */
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pure fn ge(x: f32, y: f32) -> bool { ret x >= y; }
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/* Predicate: gt */
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pure fn gt(x: f32, y: f32) -> bool { ret x > y; }
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2012-01-04 17:11:25 -06:00
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// FIXME replace the predicates below with llvm intrinsics or calls
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// to the libmath macros in the rust runtime for performance
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2011-12-22 19:31:24 -06:00
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/*
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Predicate: is_positive
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Returns true if `x` is a positive number, including +0.0f320 and +Infinity.
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*/
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pure fn is_positive(x: f32) -> bool
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{ ret x > 0.0f32 || (1.0f32/x) == infinity; }
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/*
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Predicate: is_negative
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Returns true if `x` is a negative number, including -0.0f320 and -Infinity.
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*/
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pure fn is_negative(x: f32) -> bool
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{ ret x < 0.0f32 || (1.0f32/x) == neg_infinity; }
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/*
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Predicate: is_nonpositive
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Returns true if `x` is a negative number, including -0.0f320 and -Infinity.
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(This is the same as `f32::negative`.)
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*/
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pure fn is_nonpositive(x: f32) -> bool {
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ret x < 0.0f32 || (1.0f32/x) == neg_infinity;
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}
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/*
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Predicate: nonnegative
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Returns true if `x` is a positive number, including +0.0f320 and +Infinity.
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(This is the same as `f32::positive`.)
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*/
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pure fn is_nonnegative(x: f32) -> bool {
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ret x > 0.0f32 || (1.0f32/x) == infinity;
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}
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/*
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Predicate: is_zero
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Returns true if `x` is a zero number (positive or negative zero)
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*/
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pure fn is_zero(x: f32) -> bool {
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ret x == 0.0f32 || x == -0.0f32;
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}
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/*
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Predicate: is_infinite
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Returns true if `x`is an infinite numer
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*/
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pure fn is_infinite(x: f32) -> bool {
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ret x == infinity || x == neg_infinity;
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}
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/*
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Predicate: is_finite
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Returns true if `x`is a finite numer
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*/
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pure fn is_finite(x: f32) -> bool {
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ret !(is_nan(x) || is_infinite(x));
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}
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// FIXME add is_normal, is_subnormal, and fpclassify
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/* Module: consts */
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mod consts {
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/*
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Const: pi
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Archimedes' constant
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*/
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const pi: f32 = 3.14159265358979323846264338327950288_f32;
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/*
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Const: frac_pi_2
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pi/2.0
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*/
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const frac_pi_2: f32 = 1.57079632679489661923132169163975144_f32;
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/*
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Const: frac_pi_4
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pi/4.0
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*/
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const frac_pi_4: f32 = 0.785398163397448309615660845819875721_f32;
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/*
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Const: frac_1_pi
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1.0/pi
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*/
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const frac_1_pi: f32 = 0.318309886183790671537767526745028724_f32;
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/*
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Const: frac_2_pi
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2.0/pi
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*/
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const frac_2_pi: f32 = 0.636619772367581343075535053490057448_f32;
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/*
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Const: frac_2_sqrtpi
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2.0/sqrt(pi)
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*/
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const frac_2_sqrtpi: f32 = 1.12837916709551257389615890312154517_f32;
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/*
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Const: sqrt2
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sqrt(2.0)
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*/
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const sqrt2: f32 = 1.41421356237309504880168872420969808_f32;
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/*
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Const: frac_1_sqrt2
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1.0/sqrt(2.0)
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*/
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const frac_1_sqrt2: f32 = 0.707106781186547524400844362104849039_f32;
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/*
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Const: e
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Euler's number
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*/
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const e: f32 = 2.71828182845904523536028747135266250_f32;
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/*
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Const: log2_e
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log2(e)
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*/
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const log2_e: f32 = 1.44269504088896340735992468100189214_f32;
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/*
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Const: log10_e
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log10(e)
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*/
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const log10_e: f32 = 0.434294481903251827651128918916605082_f32;
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/*
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Const: ln_2
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ln(2.0)
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*/
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const ln_2: f32 = 0.693147180559945309417232121458176568_f32;
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/*
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Const: ln_10
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ln(10.0)
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*/
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const ln_10: f32 = 2.30258509299404568401799145468436421_f32;
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}
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pure fn logarithm(n: f32, b: f32) -> f32 {
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ret ln(n) / ln(b);
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2011-12-13 19:52:02 -06:00
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}
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2011-12-30 02:18:55 -06:00
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#[cfg(target_os="freebsd")]
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pure fn log2(n: f32) -> f32 {
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ret ln(n) / consts::ln_2;
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}
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2011-12-13 19:52:02 -06:00
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//
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// Local Variables:
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// mode: rust
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// fill-column: 78;
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// indent-tabs-mode: nil
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// c-basic-offset: 4
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// buffer-file-coding-system: utf-8-unix
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// End:
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//
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