// Copyright 2015 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 or the MIT license // , at your // option. This file may not be copied, modified, or distributed // except according to those terms. use std::f64; use core::num::diy_float::Fp; use core::num::dec2flt::rawfp::{fp_to_float, prev_float, next_float, round_normal}; #[test] fn fp_to_float_half_to_even() { fn is_normalized(sig: u64) -> bool { // intentionally written without {min,max}_sig() as a sanity check sig >> 52 == 1 && sig >> 53 == 0 } fn conv(sig: u64) -> u64 { // The significands are perfectly in range, so the exponent should not matter let (m1, e1, _) = fp_to_float::(Fp { f: sig, e: 0 }).integer_decode(); assert_eq!(e1, 0 + 64 - 53); let (m2, e2, _) = fp_to_float::(Fp { f: sig, e: 55 }).integer_decode(); assert_eq!(e2, 55 + 64 - 53); assert_eq!(m2, m1); let (m3, e3, _) = fp_to_float::(Fp { f: sig, e: -78 }).integer_decode(); assert_eq!(e3, -78 + 64 - 53); assert_eq!(m3, m2); m3 } let odd = 0x1F_EDCB_A012_345F; let even = odd - 1; assert!(is_normalized(odd)); assert!(is_normalized(even)); assert_eq!(conv(odd << 11), odd); assert_eq!(conv(even << 11), even); assert_eq!(conv(odd << 11 | 1 << 10), odd + 1); assert_eq!(conv(even << 11 | 1 << 10), even); assert_eq!(conv(even << 11 | 1 << 10 | 1), even + 1); assert_eq!(conv(odd << 11 | 1 << 9), odd); assert_eq!(conv(even << 11 | 1 << 9), even); assert_eq!(conv(odd << 11 | 0x7FF), odd + 1); assert_eq!(conv(even << 11 | 0x7FF), even + 1); assert_eq!(conv(odd << 11 | 0x3FF), odd); assert_eq!(conv(even << 11 | 0x3FF), even); } #[test] fn integers_to_f64() { assert_eq!(fp_to_float::(Fp { f: 1, e: 0 }), 1.0); assert_eq!(fp_to_float::(Fp { f: 42, e: 7 }), (42 << 7) as f64); assert_eq!(fp_to_float::(Fp { f: 1 << 20, e: 30 }), (1u64 << 50) as f64); assert_eq!(fp_to_float::(Fp { f: 4, e: -3 }), 0.5); } const SOME_FLOATS: [f64; 9] = [0.1f64, 33.568, 42.1e-5, 777.0e9, 1.1111, 0.347997, 9843579834.35892, 12456.0e-150, 54389573.0e-150]; #[test] fn human_f64_roundtrip() { for &x in &SOME_FLOATS { let (f, e, _) = x.integer_decode(); let fp = Fp { f: f, e: e}; assert_eq!(fp_to_float::(fp), x); } } #[test] fn rounding_overflow() { let x = Fp { f: 0xFF_FF_FF_FF_FF_FF_FF_00u64, e: 42 }; let rounded = round_normal::(x); let adjusted_k = x.e + 64 - 53; assert_eq!(rounded.sig, 1 << 52); assert_eq!(rounded.k, adjusted_k + 1); } #[test] fn prev_float_monotonic() { let mut x = 1.0; for _ in 0..100 { let x1 = prev_float(x); assert!(x1 < x); assert!(x - x1 < 1e-15); x = x1; } } const MIN_SUBNORMAL: f64 = 5e-324; #[test] fn next_float_zero() { let tiny = next_float(0.0); assert_eq!(tiny, MIN_SUBNORMAL); assert!(tiny != 0.0); } #[test] fn next_float_subnormal() { let second = next_float(MIN_SUBNORMAL); // For subnormals, MIN_SUBNORMAL is the ULP assert!(second != MIN_SUBNORMAL); assert!(second > 0.0); assert_eq!(second - MIN_SUBNORMAL, MIN_SUBNORMAL); } #[test] fn next_float_inf() { assert_eq!(next_float(f64::MAX), f64::INFINITY); assert_eq!(next_float(f64::INFINITY), f64::INFINITY); } #[test] fn next_prev_identity() { for &x in &SOME_FLOATS { assert_eq!(prev_float(next_float(x)), x); assert_eq!(prev_float(prev_float(next_float(next_float(x)))), x); assert_eq!(next_float(prev_float(x)), x); assert_eq!(next_float(next_float(prev_float(prev_float(x)))), x); } } #[test] fn next_float_monotonic() { let mut x = 0.49999999999999; assert!(x < 0.5); for _ in 0..200 { let x1 = next_float(x); assert!(x1 > x); assert!(x1 - x < 1e-15, "next_float_monotonic: delta = {:?}", x1 - x); x = x1; } assert!(x > 0.5); }