use core::f64; const TOINT: f64 = 1. / f64::EPSILON; /// Floor (f64) /// /// Finds the nearest integer less than or equal to `x`. #[cfg_attr(all(test, assert_no_panic), no_panic::no_panic)] pub fn floor(x: f64) -> f64 { // On wasm32 we know that LLVM's intrinsic will compile to an optimized // `f64.floor` native instruction, so we can leverage this for both code size // and speed. llvm_intrinsically_optimized! { #[cfg(target_arch = "wasm32")] { return unsafe { ::core::intrinsics::floorf64(x) } } } let ui = x.to_bits(); let e = ((ui >> 52) & 0x7ff) as i32; if (e >= 0x3ff + 52) || (x == 0.) { return x; } /* y = int(x) - x, where int(x) is an integer neighbor of x */ let y = if (ui >> 63) != 0 { x - TOINT + TOINT - x } else { x + TOINT - TOINT - x }; /* special case because of non-nearest rounding modes */ if e < 0x3ff { force_eval!(y); return if (ui >> 63) != 0 { -1. } else { 0. }; } if y > 0. { x + y - 1. } else { x + y } } #[cfg(test)] mod tests { use super::*; use core::f64::*; #[test] fn sanity_check() { assert_eq!(floor(1.1), 1.0); assert_eq!(floor(2.9), 2.0); } /// The spec: https://en.cppreference.com/w/cpp/numeric/math/floor #[test] fn spec_tests() { // Not Asserted: that the current rounding mode has no effect. assert!(floor(NAN).is_nan()); for f in [0.0, -0.0, INFINITY, NEG_INFINITY].iter().copied() { assert_eq!(floor(f), f); } } }