786 lines
30 KiB
Rust
786 lines
30 KiB
Rust
// Copyright 2012-2014 The Rust Project Developers. See the COPYRIGHT
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// file at the top-level directory of this distribution and at
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// http://rust-lang.org/COPYRIGHT.
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//
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// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
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// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
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// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
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// option. This file may not be copied, modified, or distributed
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// except according to those terms.
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//! Numeric traits and functions for generic mathematics
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//!
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//! These are implemented for the primitive numeric types in `std::{u8, u16,
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//! u32, u64, uint, i8, i16, i32, i64, int, f32, f64}`.
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#![experimental]
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#![allow(missing_docs)]
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#[cfg(test)] use cmp::PartialEq;
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#[cfg(test)] use fmt::Show;
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#[cfg(test)] use ops::{Add, Sub, Mul, Div, Rem};
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pub use core::num::{Num, div_rem, Zero, zero, One, one};
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pub use core::num::{Unsigned, pow, Bounded};
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pub use core::num::{Primitive, Int, SignedInt, UnsignedInt};
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pub use core::num::{cast, FromPrimitive, NumCast, ToPrimitive};
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pub use core::num::{next_power_of_two, is_power_of_two};
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pub use core::num::{checked_next_power_of_two};
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pub use core::num::{from_int, from_i8, from_i16, from_i32, from_i64};
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pub use core::num::{from_uint, from_u8, from_u16, from_u32, from_u64};
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pub use core::num::{from_f32, from_f64};
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pub use core::num::{FromStrRadix, from_str_radix};
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pub use core::num::{FPCategory, FPNaN, FPInfinite, FPZero, FPSubnormal};
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pub use core::num::{FPNormal, Float};
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pub mod strconv;
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/// Mathematical operations on primitive floating point numbers.
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pub trait FloatMath: Float {
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/// Constructs a floating point number created by multiplying `x` by 2
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/// raised to the power of `exp`.
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fn ldexp(x: Self, exp: int) -> Self;
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/// Breaks the number into a normalized fraction and a base-2 exponent,
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/// satisfying:
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///
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/// * `self = x * pow(2, exp)`
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///
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/// * `0.5 <= abs(x) < 1.0`
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fn frexp(self) -> (Self, int);
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/// Returns the next representable floating-point value in the direction of
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/// `other`.
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fn next_after(self, other: Self) -> Self;
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/// Returns the maximum of the two numbers.
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fn max(self, other: Self) -> Self;
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/// Returns the minimum of the two numbers.
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fn min(self, other: Self) -> Self;
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/// The positive difference of two numbers. Returns `0.0` if the number is
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/// less than or equal to `other`, otherwise the difference between`self`
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/// and `other` is returned.
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fn abs_sub(self, other: Self) -> Self;
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/// Take the cubic root of a number.
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fn cbrt(self) -> Self;
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/// Calculate the length of the hypotenuse of a right-angle triangle given
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/// legs of length `x` and `y`.
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fn hypot(self, other: Self) -> Self;
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/// Computes the sine of a number (in radians).
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fn sin(self) -> Self;
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/// Computes the cosine of a number (in radians).
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fn cos(self) -> Self;
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/// Computes the tangent of a number (in radians).
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fn tan(self) -> Self;
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/// Computes the arcsine of a number. Return value is in radians in
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/// the range [-pi/2, pi/2] or NaN if the number is outside the range
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/// [-1, 1].
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fn asin(self) -> Self;
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/// Computes the arccosine of a number. Return value is in radians in
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/// the range [0, pi] or NaN if the number is outside the range
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/// [-1, 1].
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fn acos(self) -> Self;
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/// Computes the arctangent of a number. Return value is in radians in the
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/// range [-pi/2, pi/2];
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fn atan(self) -> Self;
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/// Computes the four quadrant arctangent of a number, `y`, and another
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/// number `x`. Return value is in radians in the range [-pi, pi].
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fn atan2(self, other: Self) -> Self;
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/// Simultaneously computes the sine and cosine of the number, `x`. Returns
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/// `(sin(x), cos(x))`.
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fn sin_cos(self) -> (Self, Self);
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/// Returns the exponential of the number, minus 1, in a way that is
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/// accurate even if the number is close to zero.
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fn exp_m1(self) -> Self;
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/// Returns the natural logarithm of the number plus 1 (`ln(1+n)`) more
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/// accurately than if the operations were performed separately.
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fn ln_1p(self) -> Self;
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/// Hyperbolic sine function.
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fn sinh(self) -> Self;
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/// Hyperbolic cosine function.
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fn cosh(self) -> Self;
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/// Hyperbolic tangent function.
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fn tanh(self) -> Self;
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/// Inverse hyperbolic sine function.
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fn asinh(self) -> Self;
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/// Inverse hyperbolic cosine function.
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fn acosh(self) -> Self;
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/// Inverse hyperbolic tangent function.
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fn atanh(self) -> Self;
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}
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// DEPRECATED
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#[deprecated = "Use `FloatMath::abs_sub`"]
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pub fn abs_sub<T: FloatMath>(x: T, y: T) -> T {
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x.abs_sub(y)
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}
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/// Helper function for testing numeric operations
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#[cfg(test)]
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pub fn test_num<T>(ten: T, two: T) where
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T: PartialEq + NumCast
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+ Add<T, T> + Sub<T, T>
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+ Mul<T, T> + Div<T, T>
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+ Rem<T, T> + Show
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{
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assert_eq!(ten.add(&two), cast(12i).unwrap());
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assert_eq!(ten.sub(&two), cast(8i).unwrap());
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assert_eq!(ten.mul(&two), cast(20i).unwrap());
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assert_eq!(ten.div(&two), cast(5i).unwrap());
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assert_eq!(ten.rem(&two), cast(0i).unwrap());
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assert_eq!(ten.add(&two), ten + two);
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assert_eq!(ten.sub(&two), ten - two);
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assert_eq!(ten.mul(&two), ten * two);
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assert_eq!(ten.div(&two), ten / two);
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assert_eq!(ten.rem(&two), ten % two);
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}
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#[cfg(test)]
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mod tests {
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use prelude::*;
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use super::*;
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use i8;
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use i16;
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use i32;
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use i64;
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use int;
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use u8;
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use u16;
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use u32;
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use u64;
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use uint;
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macro_rules! test_cast_20(
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($_20:expr) => ({
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let _20 = $_20;
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assert_eq!(20u, _20.to_uint().unwrap());
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assert_eq!(20u8, _20.to_u8().unwrap());
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assert_eq!(20u16, _20.to_u16().unwrap());
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assert_eq!(20u32, _20.to_u32().unwrap());
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assert_eq!(20u64, _20.to_u64().unwrap());
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assert_eq!(20i, _20.to_int().unwrap());
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assert_eq!(20i8, _20.to_i8().unwrap());
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assert_eq!(20i16, _20.to_i16().unwrap());
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assert_eq!(20i32, _20.to_i32().unwrap());
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assert_eq!(20i64, _20.to_i64().unwrap());
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assert_eq!(20f32, _20.to_f32().unwrap());
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assert_eq!(20f64, _20.to_f64().unwrap());
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assert_eq!(_20, NumCast::from(20u).unwrap());
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assert_eq!(_20, NumCast::from(20u8).unwrap());
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assert_eq!(_20, NumCast::from(20u16).unwrap());
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assert_eq!(_20, NumCast::from(20u32).unwrap());
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assert_eq!(_20, NumCast::from(20u64).unwrap());
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assert_eq!(_20, NumCast::from(20i).unwrap());
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assert_eq!(_20, NumCast::from(20i8).unwrap());
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assert_eq!(_20, NumCast::from(20i16).unwrap());
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assert_eq!(_20, NumCast::from(20i32).unwrap());
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assert_eq!(_20, NumCast::from(20i64).unwrap());
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assert_eq!(_20, NumCast::from(20f32).unwrap());
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assert_eq!(_20, NumCast::from(20f64).unwrap());
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assert_eq!(_20, cast(20u).unwrap());
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assert_eq!(_20, cast(20u8).unwrap());
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assert_eq!(_20, cast(20u16).unwrap());
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assert_eq!(_20, cast(20u32).unwrap());
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assert_eq!(_20, cast(20u64).unwrap());
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assert_eq!(_20, cast(20i).unwrap());
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assert_eq!(_20, cast(20i8).unwrap());
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assert_eq!(_20, cast(20i16).unwrap());
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assert_eq!(_20, cast(20i32).unwrap());
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assert_eq!(_20, cast(20i64).unwrap());
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assert_eq!(_20, cast(20f32).unwrap());
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assert_eq!(_20, cast(20f64).unwrap());
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})
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)
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#[test] fn test_u8_cast() { test_cast_20!(20u8) }
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#[test] fn test_u16_cast() { test_cast_20!(20u16) }
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#[test] fn test_u32_cast() { test_cast_20!(20u32) }
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#[test] fn test_u64_cast() { test_cast_20!(20u64) }
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#[test] fn test_uint_cast() { test_cast_20!(20u) }
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#[test] fn test_i8_cast() { test_cast_20!(20i8) }
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#[test] fn test_i16_cast() { test_cast_20!(20i16) }
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#[test] fn test_i32_cast() { test_cast_20!(20i32) }
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#[test] fn test_i64_cast() { test_cast_20!(20i64) }
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#[test] fn test_int_cast() { test_cast_20!(20i) }
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#[test] fn test_f32_cast() { test_cast_20!(20f32) }
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#[test] fn test_f64_cast() { test_cast_20!(20f64) }
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#[test]
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fn test_cast_range_int_min() {
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assert_eq!(int::MIN.to_int(), Some(int::MIN as int));
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assert_eq!(int::MIN.to_i8(), None);
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assert_eq!(int::MIN.to_i16(), None);
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// int::MIN.to_i32() is word-size specific
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assert_eq!(int::MIN.to_i64(), Some(int::MIN as i64));
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assert_eq!(int::MIN.to_uint(), None);
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assert_eq!(int::MIN.to_u8(), None);
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assert_eq!(int::MIN.to_u16(), None);
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assert_eq!(int::MIN.to_u32(), None);
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assert_eq!(int::MIN.to_u64(), None);
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#[cfg(target_word_size = "32")]
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fn check_word_size() {
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assert_eq!(int::MIN.to_i32(), Some(int::MIN as i32));
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}
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#[cfg(target_word_size = "64")]
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fn check_word_size() {
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assert_eq!(int::MIN.to_i32(), None);
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}
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check_word_size();
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}
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#[test]
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fn test_cast_range_i8_min() {
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assert_eq!(i8::MIN.to_int(), Some(i8::MIN as int));
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assert_eq!(i8::MIN.to_i8(), Some(i8::MIN as i8));
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assert_eq!(i8::MIN.to_i16(), Some(i8::MIN as i16));
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assert_eq!(i8::MIN.to_i32(), Some(i8::MIN as i32));
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assert_eq!(i8::MIN.to_i64(), Some(i8::MIN as i64));
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assert_eq!(i8::MIN.to_uint(), None);
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assert_eq!(i8::MIN.to_u8(), None);
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assert_eq!(i8::MIN.to_u16(), None);
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assert_eq!(i8::MIN.to_u32(), None);
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assert_eq!(i8::MIN.to_u64(), None);
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}
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#[test]
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fn test_cast_range_i16_min() {
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assert_eq!(i16::MIN.to_int(), Some(i16::MIN as int));
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assert_eq!(i16::MIN.to_i8(), None);
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assert_eq!(i16::MIN.to_i16(), Some(i16::MIN as i16));
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assert_eq!(i16::MIN.to_i32(), Some(i16::MIN as i32));
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assert_eq!(i16::MIN.to_i64(), Some(i16::MIN as i64));
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assert_eq!(i16::MIN.to_uint(), None);
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assert_eq!(i16::MIN.to_u8(), None);
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assert_eq!(i16::MIN.to_u16(), None);
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assert_eq!(i16::MIN.to_u32(), None);
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assert_eq!(i16::MIN.to_u64(), None);
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}
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#[test]
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fn test_cast_range_i32_min() {
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assert_eq!(i32::MIN.to_int(), Some(i32::MIN as int));
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assert_eq!(i32::MIN.to_i8(), None);
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assert_eq!(i32::MIN.to_i16(), None);
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assert_eq!(i32::MIN.to_i32(), Some(i32::MIN as i32));
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assert_eq!(i32::MIN.to_i64(), Some(i32::MIN as i64));
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assert_eq!(i32::MIN.to_uint(), None);
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assert_eq!(i32::MIN.to_u8(), None);
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assert_eq!(i32::MIN.to_u16(), None);
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assert_eq!(i32::MIN.to_u32(), None);
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assert_eq!(i32::MIN.to_u64(), None);
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}
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#[test]
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fn test_cast_range_i64_min() {
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// i64::MIN.to_int() is word-size specific
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assert_eq!(i64::MIN.to_i8(), None);
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assert_eq!(i64::MIN.to_i16(), None);
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assert_eq!(i64::MIN.to_i32(), None);
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assert_eq!(i64::MIN.to_i64(), Some(i64::MIN as i64));
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assert_eq!(i64::MIN.to_uint(), None);
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assert_eq!(i64::MIN.to_u8(), None);
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assert_eq!(i64::MIN.to_u16(), None);
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assert_eq!(i64::MIN.to_u32(), None);
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assert_eq!(i64::MIN.to_u64(), None);
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#[cfg(target_word_size = "32")]
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fn check_word_size() {
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assert_eq!(i64::MIN.to_int(), None);
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}
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#[cfg(target_word_size = "64")]
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fn check_word_size() {
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assert_eq!(i64::MIN.to_int(), Some(i64::MIN as int));
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}
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check_word_size();
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}
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#[test]
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fn test_cast_range_int_max() {
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assert_eq!(int::MAX.to_int(), Some(int::MAX as int));
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assert_eq!(int::MAX.to_i8(), None);
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assert_eq!(int::MAX.to_i16(), None);
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// int::MAX.to_i32() is word-size specific
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assert_eq!(int::MAX.to_i64(), Some(int::MAX as i64));
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assert_eq!(int::MAX.to_u8(), None);
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assert_eq!(int::MAX.to_u16(), None);
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// int::MAX.to_u32() is word-size specific
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assert_eq!(int::MAX.to_u64(), Some(int::MAX as u64));
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#[cfg(target_word_size = "32")]
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fn check_word_size() {
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assert_eq!(int::MAX.to_i32(), Some(int::MAX as i32));
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assert_eq!(int::MAX.to_u32(), Some(int::MAX as u32));
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}
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#[cfg(target_word_size = "64")]
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fn check_word_size() {
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assert_eq!(int::MAX.to_i32(), None);
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assert_eq!(int::MAX.to_u32(), None);
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}
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check_word_size();
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}
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#[test]
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fn test_cast_range_i8_max() {
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assert_eq!(i8::MAX.to_int(), Some(i8::MAX as int));
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assert_eq!(i8::MAX.to_i8(), Some(i8::MAX as i8));
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assert_eq!(i8::MAX.to_i16(), Some(i8::MAX as i16));
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assert_eq!(i8::MAX.to_i32(), Some(i8::MAX as i32));
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assert_eq!(i8::MAX.to_i64(), Some(i8::MAX as i64));
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assert_eq!(i8::MAX.to_uint(), Some(i8::MAX as uint));
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assert_eq!(i8::MAX.to_u8(), Some(i8::MAX as u8));
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assert_eq!(i8::MAX.to_u16(), Some(i8::MAX as u16));
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assert_eq!(i8::MAX.to_u32(), Some(i8::MAX as u32));
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assert_eq!(i8::MAX.to_u64(), Some(i8::MAX as u64));
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}
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#[test]
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fn test_cast_range_i16_max() {
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assert_eq!(i16::MAX.to_int(), Some(i16::MAX as int));
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assert_eq!(i16::MAX.to_i8(), None);
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assert_eq!(i16::MAX.to_i16(), Some(i16::MAX as i16));
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assert_eq!(i16::MAX.to_i32(), Some(i16::MAX as i32));
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assert_eq!(i16::MAX.to_i64(), Some(i16::MAX as i64));
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assert_eq!(i16::MAX.to_uint(), Some(i16::MAX as uint));
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assert_eq!(i16::MAX.to_u8(), None);
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assert_eq!(i16::MAX.to_u16(), Some(i16::MAX as u16));
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assert_eq!(i16::MAX.to_u32(), Some(i16::MAX as u32));
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assert_eq!(i16::MAX.to_u64(), Some(i16::MAX as u64));
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}
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#[test]
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fn test_cast_range_i32_max() {
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assert_eq!(i32::MAX.to_int(), Some(i32::MAX as int));
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assert_eq!(i32::MAX.to_i8(), None);
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assert_eq!(i32::MAX.to_i16(), None);
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assert_eq!(i32::MAX.to_i32(), Some(i32::MAX as i32));
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assert_eq!(i32::MAX.to_i64(), Some(i32::MAX as i64));
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assert_eq!(i32::MAX.to_uint(), Some(i32::MAX as uint));
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assert_eq!(i32::MAX.to_u8(), None);
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assert_eq!(i32::MAX.to_u16(), None);
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assert_eq!(i32::MAX.to_u32(), Some(i32::MAX as u32));
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assert_eq!(i32::MAX.to_u64(), Some(i32::MAX as u64));
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}
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#[test]
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fn test_cast_range_i64_max() {
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// i64::MAX.to_int() is word-size specific
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assert_eq!(i64::MAX.to_i8(), None);
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assert_eq!(i64::MAX.to_i16(), None);
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assert_eq!(i64::MAX.to_i32(), None);
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assert_eq!(i64::MAX.to_i64(), Some(i64::MAX as i64));
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// i64::MAX.to_uint() is word-size specific
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assert_eq!(i64::MAX.to_u8(), None);
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assert_eq!(i64::MAX.to_u16(), None);
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assert_eq!(i64::MAX.to_u32(), None);
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assert_eq!(i64::MAX.to_u64(), Some(i64::MAX as u64));
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#[cfg(target_word_size = "32")]
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fn check_word_size() {
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assert_eq!(i64::MAX.to_int(), None);
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assert_eq!(i64::MAX.to_uint(), None);
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}
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#[cfg(target_word_size = "64")]
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fn check_word_size() {
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assert_eq!(i64::MAX.to_int(), Some(i64::MAX as int));
|
|
assert_eq!(i64::MAX.to_uint(), Some(i64::MAX as uint));
|
|
}
|
|
|
|
check_word_size();
|
|
}
|
|
|
|
#[test]
|
|
fn test_cast_range_uint_min() {
|
|
assert_eq!(uint::MIN.to_int(), Some(uint::MIN as int));
|
|
assert_eq!(uint::MIN.to_i8(), Some(uint::MIN as i8));
|
|
assert_eq!(uint::MIN.to_i16(), Some(uint::MIN as i16));
|
|
assert_eq!(uint::MIN.to_i32(), Some(uint::MIN as i32));
|
|
assert_eq!(uint::MIN.to_i64(), Some(uint::MIN as i64));
|
|
assert_eq!(uint::MIN.to_uint(), Some(uint::MIN as uint));
|
|
assert_eq!(uint::MIN.to_u8(), Some(uint::MIN as u8));
|
|
assert_eq!(uint::MIN.to_u16(), Some(uint::MIN as u16));
|
|
assert_eq!(uint::MIN.to_u32(), Some(uint::MIN as u32));
|
|
assert_eq!(uint::MIN.to_u64(), Some(uint::MIN as u64));
|
|
}
|
|
|
|
#[test]
|
|
fn test_cast_range_u8_min() {
|
|
assert_eq!(u8::MIN.to_int(), Some(u8::MIN as int));
|
|
assert_eq!(u8::MIN.to_i8(), Some(u8::MIN as i8));
|
|
assert_eq!(u8::MIN.to_i16(), Some(u8::MIN as i16));
|
|
assert_eq!(u8::MIN.to_i32(), Some(u8::MIN as i32));
|
|
assert_eq!(u8::MIN.to_i64(), Some(u8::MIN as i64));
|
|
assert_eq!(u8::MIN.to_uint(), Some(u8::MIN as uint));
|
|
assert_eq!(u8::MIN.to_u8(), Some(u8::MIN as u8));
|
|
assert_eq!(u8::MIN.to_u16(), Some(u8::MIN as u16));
|
|
assert_eq!(u8::MIN.to_u32(), Some(u8::MIN as u32));
|
|
assert_eq!(u8::MIN.to_u64(), Some(u8::MIN as u64));
|
|
}
|
|
|
|
#[test]
|
|
fn test_cast_range_u16_min() {
|
|
assert_eq!(u16::MIN.to_int(), Some(u16::MIN as int));
|
|
assert_eq!(u16::MIN.to_i8(), Some(u16::MIN as i8));
|
|
assert_eq!(u16::MIN.to_i16(), Some(u16::MIN as i16));
|
|
assert_eq!(u16::MIN.to_i32(), Some(u16::MIN as i32));
|
|
assert_eq!(u16::MIN.to_i64(), Some(u16::MIN as i64));
|
|
assert_eq!(u16::MIN.to_uint(), Some(u16::MIN as uint));
|
|
assert_eq!(u16::MIN.to_u8(), Some(u16::MIN as u8));
|
|
assert_eq!(u16::MIN.to_u16(), Some(u16::MIN as u16));
|
|
assert_eq!(u16::MIN.to_u32(), Some(u16::MIN as u32));
|
|
assert_eq!(u16::MIN.to_u64(), Some(u16::MIN as u64));
|
|
}
|
|
|
|
#[test]
|
|
fn test_cast_range_u32_min() {
|
|
assert_eq!(u32::MIN.to_int(), Some(u32::MIN as int));
|
|
assert_eq!(u32::MIN.to_i8(), Some(u32::MIN as i8));
|
|
assert_eq!(u32::MIN.to_i16(), Some(u32::MIN as i16));
|
|
assert_eq!(u32::MIN.to_i32(), Some(u32::MIN as i32));
|
|
assert_eq!(u32::MIN.to_i64(), Some(u32::MIN as i64));
|
|
assert_eq!(u32::MIN.to_uint(), Some(u32::MIN as uint));
|
|
assert_eq!(u32::MIN.to_u8(), Some(u32::MIN as u8));
|
|
assert_eq!(u32::MIN.to_u16(), Some(u32::MIN as u16));
|
|
assert_eq!(u32::MIN.to_u32(), Some(u32::MIN as u32));
|
|
assert_eq!(u32::MIN.to_u64(), Some(u32::MIN as u64));
|
|
}
|
|
|
|
#[test]
|
|
fn test_cast_range_u64_min() {
|
|
assert_eq!(u64::MIN.to_int(), Some(u64::MIN as int));
|
|
assert_eq!(u64::MIN.to_i8(), Some(u64::MIN as i8));
|
|
assert_eq!(u64::MIN.to_i16(), Some(u64::MIN as i16));
|
|
assert_eq!(u64::MIN.to_i32(), Some(u64::MIN as i32));
|
|
assert_eq!(u64::MIN.to_i64(), Some(u64::MIN as i64));
|
|
assert_eq!(u64::MIN.to_uint(), Some(u64::MIN as uint));
|
|
assert_eq!(u64::MIN.to_u8(), Some(u64::MIN as u8));
|
|
assert_eq!(u64::MIN.to_u16(), Some(u64::MIN as u16));
|
|
assert_eq!(u64::MIN.to_u32(), Some(u64::MIN as u32));
|
|
assert_eq!(u64::MIN.to_u64(), Some(u64::MIN as u64));
|
|
}
|
|
|
|
#[test]
|
|
fn test_cast_range_uint_max() {
|
|
assert_eq!(uint::MAX.to_int(), None);
|
|
assert_eq!(uint::MAX.to_i8(), None);
|
|
assert_eq!(uint::MAX.to_i16(), None);
|
|
assert_eq!(uint::MAX.to_i32(), None);
|
|
// uint::MAX.to_i64() is word-size specific
|
|
assert_eq!(uint::MAX.to_u8(), None);
|
|
assert_eq!(uint::MAX.to_u16(), None);
|
|
// uint::MAX.to_u32() is word-size specific
|
|
assert_eq!(uint::MAX.to_u64(), Some(uint::MAX as u64));
|
|
|
|
#[cfg(target_word_size = "32")]
|
|
fn check_word_size() {
|
|
assert_eq!(uint::MAX.to_u32(), Some(uint::MAX as u32));
|
|
assert_eq!(uint::MAX.to_i64(), Some(uint::MAX as i64));
|
|
}
|
|
|
|
#[cfg(target_word_size = "64")]
|
|
fn check_word_size() {
|
|
assert_eq!(uint::MAX.to_u32(), None);
|
|
assert_eq!(uint::MAX.to_i64(), None);
|
|
}
|
|
|
|
check_word_size();
|
|
}
|
|
|
|
#[test]
|
|
fn test_cast_range_u8_max() {
|
|
assert_eq!(u8::MAX.to_int(), Some(u8::MAX as int));
|
|
assert_eq!(u8::MAX.to_i8(), None);
|
|
assert_eq!(u8::MAX.to_i16(), Some(u8::MAX as i16));
|
|
assert_eq!(u8::MAX.to_i32(), Some(u8::MAX as i32));
|
|
assert_eq!(u8::MAX.to_i64(), Some(u8::MAX as i64));
|
|
assert_eq!(u8::MAX.to_uint(), Some(u8::MAX as uint));
|
|
assert_eq!(u8::MAX.to_u8(), Some(u8::MAX as u8));
|
|
assert_eq!(u8::MAX.to_u16(), Some(u8::MAX as u16));
|
|
assert_eq!(u8::MAX.to_u32(), Some(u8::MAX as u32));
|
|
assert_eq!(u8::MAX.to_u64(), Some(u8::MAX as u64));
|
|
}
|
|
|
|
#[test]
|
|
fn test_cast_range_u16_max() {
|
|
assert_eq!(u16::MAX.to_int(), Some(u16::MAX as int));
|
|
assert_eq!(u16::MAX.to_i8(), None);
|
|
assert_eq!(u16::MAX.to_i16(), None);
|
|
assert_eq!(u16::MAX.to_i32(), Some(u16::MAX as i32));
|
|
assert_eq!(u16::MAX.to_i64(), Some(u16::MAX as i64));
|
|
assert_eq!(u16::MAX.to_uint(), Some(u16::MAX as uint));
|
|
assert_eq!(u16::MAX.to_u8(), None);
|
|
assert_eq!(u16::MAX.to_u16(), Some(u16::MAX as u16));
|
|
assert_eq!(u16::MAX.to_u32(), Some(u16::MAX as u32));
|
|
assert_eq!(u16::MAX.to_u64(), Some(u16::MAX as u64));
|
|
}
|
|
|
|
#[test]
|
|
fn test_cast_range_u32_max() {
|
|
// u32::MAX.to_int() is word-size specific
|
|
assert_eq!(u32::MAX.to_i8(), None);
|
|
assert_eq!(u32::MAX.to_i16(), None);
|
|
assert_eq!(u32::MAX.to_i32(), None);
|
|
assert_eq!(u32::MAX.to_i64(), Some(u32::MAX as i64));
|
|
assert_eq!(u32::MAX.to_uint(), Some(u32::MAX as uint));
|
|
assert_eq!(u32::MAX.to_u8(), None);
|
|
assert_eq!(u32::MAX.to_u16(), None);
|
|
assert_eq!(u32::MAX.to_u32(), Some(u32::MAX as u32));
|
|
assert_eq!(u32::MAX.to_u64(), Some(u32::MAX as u64));
|
|
|
|
#[cfg(target_word_size = "32")]
|
|
fn check_word_size() {
|
|
assert_eq!(u32::MAX.to_int(), None);
|
|
}
|
|
|
|
#[cfg(target_word_size = "64")]
|
|
fn check_word_size() {
|
|
assert_eq!(u32::MAX.to_int(), Some(u32::MAX as int));
|
|
}
|
|
|
|
check_word_size();
|
|
}
|
|
|
|
#[test]
|
|
fn test_cast_range_u64_max() {
|
|
assert_eq!(u64::MAX.to_int(), None);
|
|
assert_eq!(u64::MAX.to_i8(), None);
|
|
assert_eq!(u64::MAX.to_i16(), None);
|
|
assert_eq!(u64::MAX.to_i32(), None);
|
|
assert_eq!(u64::MAX.to_i64(), None);
|
|
// u64::MAX.to_uint() is word-size specific
|
|
assert_eq!(u64::MAX.to_u8(), None);
|
|
assert_eq!(u64::MAX.to_u16(), None);
|
|
assert_eq!(u64::MAX.to_u32(), None);
|
|
assert_eq!(u64::MAX.to_u64(), Some(u64::MAX as u64));
|
|
|
|
#[cfg(target_word_size = "32")]
|
|
fn check_word_size() {
|
|
assert_eq!(u64::MAX.to_uint(), None);
|
|
}
|
|
|
|
#[cfg(target_word_size = "64")]
|
|
fn check_word_size() {
|
|
assert_eq!(u64::MAX.to_uint(), Some(u64::MAX as uint));
|
|
}
|
|
|
|
check_word_size();
|
|
}
|
|
|
|
#[test]
|
|
fn test_saturating_add_uint() {
|
|
use uint::MAX;
|
|
assert_eq!(3u.saturating_add(5u), 8u);
|
|
assert_eq!(3u.saturating_add(MAX-1), MAX);
|
|
assert_eq!(MAX.saturating_add(MAX), MAX);
|
|
assert_eq!((MAX-2).saturating_add(1), MAX-1);
|
|
}
|
|
|
|
#[test]
|
|
fn test_saturating_sub_uint() {
|
|
use uint::MAX;
|
|
assert_eq!(5u.saturating_sub(3u), 2u);
|
|
assert_eq!(3u.saturating_sub(5u), 0u);
|
|
assert_eq!(0u.saturating_sub(1u), 0u);
|
|
assert_eq!((MAX-1).saturating_sub(MAX), 0);
|
|
}
|
|
|
|
#[test]
|
|
fn test_saturating_add_int() {
|
|
use int::{MIN,MAX};
|
|
assert_eq!(3i.saturating_add(5i), 8i);
|
|
assert_eq!(3i.saturating_add(MAX-1), MAX);
|
|
assert_eq!(MAX.saturating_add(MAX), MAX);
|
|
assert_eq!((MAX-2).saturating_add(1), MAX-1);
|
|
assert_eq!(3i.saturating_add(-5i), -2i);
|
|
assert_eq!(MIN.saturating_add(-1i), MIN);
|
|
assert_eq!((-2i).saturating_add(-MAX), MIN);
|
|
}
|
|
|
|
#[test]
|
|
fn test_saturating_sub_int() {
|
|
use int::{MIN,MAX};
|
|
assert_eq!(3i.saturating_sub(5i), -2i);
|
|
assert_eq!(MIN.saturating_sub(1i), MIN);
|
|
assert_eq!((-2i).saturating_sub(MAX), MIN);
|
|
assert_eq!(3i.saturating_sub(-5i), 8i);
|
|
assert_eq!(3i.saturating_sub(-(MAX-1)), MAX);
|
|
assert_eq!(MAX.saturating_sub(-MAX), MAX);
|
|
assert_eq!((MAX-2).saturating_sub(-1), MAX-1);
|
|
}
|
|
|
|
#[test]
|
|
fn test_checked_add() {
|
|
let five_less = uint::MAX - 5;
|
|
assert_eq!(five_less.checked_add(0), Some(uint::MAX - 5));
|
|
assert_eq!(five_less.checked_add(1), Some(uint::MAX - 4));
|
|
assert_eq!(five_less.checked_add(2), Some(uint::MAX - 3));
|
|
assert_eq!(five_less.checked_add(3), Some(uint::MAX - 2));
|
|
assert_eq!(five_less.checked_add(4), Some(uint::MAX - 1));
|
|
assert_eq!(five_less.checked_add(5), Some(uint::MAX));
|
|
assert_eq!(five_less.checked_add(6), None);
|
|
assert_eq!(five_less.checked_add(7), None);
|
|
}
|
|
|
|
#[test]
|
|
fn test_checked_sub() {
|
|
assert_eq!(5u.checked_sub(0), Some(5));
|
|
assert_eq!(5u.checked_sub(1), Some(4));
|
|
assert_eq!(5u.checked_sub(2), Some(3));
|
|
assert_eq!(5u.checked_sub(3), Some(2));
|
|
assert_eq!(5u.checked_sub(4), Some(1));
|
|
assert_eq!(5u.checked_sub(5), Some(0));
|
|
assert_eq!(5u.checked_sub(6), None);
|
|
assert_eq!(5u.checked_sub(7), None);
|
|
}
|
|
|
|
#[test]
|
|
fn test_checked_mul() {
|
|
let third = uint::MAX / 3;
|
|
assert_eq!(third.checked_mul(0), Some(0));
|
|
assert_eq!(third.checked_mul(1), Some(third));
|
|
assert_eq!(third.checked_mul(2), Some(third * 2));
|
|
assert_eq!(third.checked_mul(3), Some(third * 3));
|
|
assert_eq!(third.checked_mul(4), None);
|
|
}
|
|
|
|
macro_rules! test_next_power_of_two(
|
|
($test_name:ident, $T:ident) => (
|
|
fn $test_name() {
|
|
#![test]
|
|
assert_eq!((0 as $T).next_power_of_two(), 0);
|
|
let mut next_power = 1;
|
|
for i in range::<$T>(1, 40) {
|
|
assert_eq!(i.next_power_of_two(), next_power);
|
|
if i == next_power { next_power *= 2 }
|
|
}
|
|
}
|
|
)
|
|
)
|
|
|
|
test_next_power_of_two!(test_next_power_of_two_u8, u8)
|
|
test_next_power_of_two!(test_next_power_of_two_u16, u16)
|
|
test_next_power_of_two!(test_next_power_of_two_u32, u32)
|
|
test_next_power_of_two!(test_next_power_of_two_u64, u64)
|
|
test_next_power_of_two!(test_next_power_of_two_uint, uint)
|
|
|
|
macro_rules! test_checked_next_power_of_two(
|
|
($test_name:ident, $T:ident) => (
|
|
fn $test_name() {
|
|
#![test]
|
|
assert_eq!((0 as $T).checked_next_power_of_two(), None);
|
|
let mut next_power = 1;
|
|
for i in range::<$T>(1, 40) {
|
|
assert_eq!(i.checked_next_power_of_two(), Some(next_power));
|
|
if i == next_power { next_power *= 2 }
|
|
}
|
|
assert!(($T::MAX / 2).checked_next_power_of_two().is_some());
|
|
assert_eq!(($T::MAX - 1).checked_next_power_of_two(), None);
|
|
assert_eq!($T::MAX.checked_next_power_of_two(), None);
|
|
}
|
|
)
|
|
)
|
|
|
|
test_checked_next_power_of_two!(test_checked_next_power_of_two_u8, u8)
|
|
test_checked_next_power_of_two!(test_checked_next_power_of_two_u16, u16)
|
|
test_checked_next_power_of_two!(test_checked_next_power_of_two_u32, u32)
|
|
test_checked_next_power_of_two!(test_checked_next_power_of_two_u64, u64)
|
|
test_checked_next_power_of_two!(test_checked_next_power_of_two_uint, uint)
|
|
|
|
#[deriving(PartialEq, Show)]
|
|
struct Value { x: int }
|
|
|
|
impl ToPrimitive for Value {
|
|
fn to_i64(&self) -> Option<i64> { self.x.to_i64() }
|
|
fn to_u64(&self) -> Option<u64> { self.x.to_u64() }
|
|
}
|
|
|
|
impl FromPrimitive for Value {
|
|
fn from_i64(n: i64) -> Option<Value> { Some(Value { x: n as int }) }
|
|
fn from_u64(n: u64) -> Option<Value> { Some(Value { x: n as int }) }
|
|
}
|
|
|
|
#[test]
|
|
fn test_to_primitive() {
|
|
let value = Value { x: 5 };
|
|
assert_eq!(value.to_int(), Some(5));
|
|
assert_eq!(value.to_i8(), Some(5));
|
|
assert_eq!(value.to_i16(), Some(5));
|
|
assert_eq!(value.to_i32(), Some(5));
|
|
assert_eq!(value.to_i64(), Some(5));
|
|
assert_eq!(value.to_uint(), Some(5));
|
|
assert_eq!(value.to_u8(), Some(5));
|
|
assert_eq!(value.to_u16(), Some(5));
|
|
assert_eq!(value.to_u32(), Some(5));
|
|
assert_eq!(value.to_u64(), Some(5));
|
|
assert_eq!(value.to_f32(), Some(5f32));
|
|
assert_eq!(value.to_f64(), Some(5f64));
|
|
}
|
|
|
|
#[test]
|
|
fn test_from_primitive() {
|
|
assert_eq!(from_int(5), Some(Value { x: 5 }));
|
|
assert_eq!(from_i8(5), Some(Value { x: 5 }));
|
|
assert_eq!(from_i16(5), Some(Value { x: 5 }));
|
|
assert_eq!(from_i32(5), Some(Value { x: 5 }));
|
|
assert_eq!(from_i64(5), Some(Value { x: 5 }));
|
|
assert_eq!(from_uint(5), Some(Value { x: 5 }));
|
|
assert_eq!(from_u8(5), Some(Value { x: 5 }));
|
|
assert_eq!(from_u16(5), Some(Value { x: 5 }));
|
|
assert_eq!(from_u32(5), Some(Value { x: 5 }));
|
|
assert_eq!(from_u64(5), Some(Value { x: 5 }));
|
|
assert_eq!(from_f32(5f32), Some(Value { x: 5 }));
|
|
assert_eq!(from_f64(5f64), Some(Value { x: 5 }));
|
|
}
|
|
|
|
#[test]
|
|
fn test_pow() {
|
|
fn naive_pow<T: One + Mul<T, T>>(base: T, exp: uint) -> T {
|
|
range(0, exp).fold(one::<T>(), |acc, _| acc * base)
|
|
}
|
|
macro_rules! assert_pow(
|
|
(($num:expr, $exp:expr) => $expected:expr) => {{
|
|
let result = pow($num, $exp);
|
|
assert_eq!(result, $expected);
|
|
assert_eq!(result, naive_pow($num, $exp));
|
|
}}
|
|
)
|
|
assert_pow!((3i, 0 ) => 1);
|
|
assert_pow!((5i, 1 ) => 5);
|
|
assert_pow!((-4i, 2 ) => 16);
|
|
assert_pow!((8i, 3 ) => 512);
|
|
assert_pow!((2u64, 50) => 1125899906842624);
|
|
}
|
|
}
|
|
|
|
|
|
#[cfg(test)]
|
|
mod bench {
|
|
extern crate test;
|
|
use self::test::Bencher;
|
|
use num;
|
|
use prelude::*;
|
|
|
|
#[bench]
|
|
fn bench_pow_function(b: &mut Bencher) {
|
|
let v = Vec::from_fn(1024u, |n| n);
|
|
b.iter(|| {v.iter().fold(0u, |old, new| num::pow(old, *new));});
|
|
}
|
|
}
|