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+//! IEEE 754 floating point compliance tests
+//!
+//! To understand IEEE 754's requirements on a programming language, one must understand that the
+//! requirements of IEEE 754 rest on the total programming environment, and not entirely on any
+//! one component. That means the hardware, language, and even libraries are considered part of
+//! conforming floating point support in a programming environment.
+//!
+//! A programming language's duty, accordingly, is:
+//! 1. offer access to the hardware where the hardware offers support
+//! 2. provide operations that fulfill the remaining requirements of the standard
+//! 3. provide the ability to write additional software that can fulfill those requirements
+//!
+//! This may be fulfilled in any combination that the language sees fit. However, to claim that
+//! a language supports IEEE 754 is to suggest that it has fulfilled requirements 1 and 2, without
+//! deferring minimum requirements to libraries. This is because support for IEEE 754 is defined
+//! as complete support for at least one specified floating point type as an "arithmetic" and
+//! "interchange" format, plus specified type conversions to "external character sequences" and
+//! integer types.
+//!
+//! For our purposes,
+//! "interchange format" => f32, f64
+//! "arithmetic format" => f32, f64, and any "soft floats"
+//! "external character sequence" => str from any float
+//! "integer format" => {i,u}{8,16,32,64,128}
+//!
+//! None of these tests are against Rust's own implementation. They are only tests against the
+//! standard. That is why they accept wildly diverse inputs or may seem to duplicate other tests.
+//! Please consider this carefully when adding, removing, or reorganizing these tests. They are
+//! here so that it is clear what tests are required by the standard and what can be changed.
+use ::core::str::FromStr;
+
+// IEEE 754 for many tests is applied to specific bit patterns.
+// These generally are not applicable to NaN, however.
+macro_rules! assert_biteq {
+ ($lhs:expr, $rhs:expr) => {
+ assert_eq!($lhs.to_bits(), $rhs.to_bits())
+ };
+}
+
+// ToString uses the default fmt::Display impl without special concerns, and bypasses other parts
+// of the formatting infrastructure, which makes it ideal for testing here.
+#[allow(unused_macros)]
+macro_rules! roundtrip {
+ ($f:expr => $t:ty) => {
+ ($f).to_string().parse::<$t>().unwrap()
+ };
+}
+
+macro_rules! assert_floats_roundtrip {
+ ($f:ident) => {
+ assert_biteq!(f32::$f, roundtrip!(f32::$f => f32));
+ assert_biteq!(f64::$f, roundtrip!(f64::$f => f64));
+ };
+ ($f:expr) => {
+ assert_biteq!($f as f32, roundtrip!($f => f32));
+ assert_biteq!($f as f64, roundtrip!($f => f64));
+ }
+}
+
+macro_rules! assert_floats_bitne {
+ ($lhs:ident, $rhs:ident) => {
+ assert_ne!(f32::$lhs.to_bits(), f32::$rhs.to_bits());
+ assert_ne!(f64::$lhs.to_bits(), f64::$rhs.to_bits());
+ };
+ ($lhs:expr, $rhs:expr) => {
+ assert_ne!(f32::to_bits($lhs), f32::to_bits($rhs));
+ assert_ne!(f64::to_bits($lhs), f64::to_bits($rhs));
+ };
+}
+
+// We must preserve signs on all numbers. That includes zero.
+// -0 and 0 are == normally, so test bit equality.
+#[test]
+fn preserve_signed_zero() {
+ assert_floats_roundtrip!(-0.0);
+ assert_floats_roundtrip!(0.0);
+ assert_floats_bitne!(0.0, -0.0);
+}
+
+#[test]
+fn preserve_signed_infinity() {
+ assert_floats_roundtrip!(INFINITY);
+ assert_floats_roundtrip!(NEG_INFINITY);
+ assert_floats_bitne!(INFINITY, NEG_INFINITY);
+}
+
+#[test]
+fn infinity_to_str() {
+ assert!(match f32::INFINITY.to_string().to_lowercase().as_str() {
+ "+infinity" | "infinity" => true,
+ "+inf" | "inf" => true,
+ _ => false,
+ });
+ assert!(
+ match f64::INFINITY.to_string().to_lowercase().as_str() {
+ "+infinity" | "infinity" => true,
+ "+inf" | "inf" => true,
+ _ => false,
+ },
+ "Infinity must write to a string as some casing of inf or infinity, with an optional +."
+ );
+}
+
+#[test]
+fn neg_infinity_to_str() {
+ assert!(match f32::NEG_INFINITY.to_string().to_lowercase().as_str() {
+ "-infinity" | "-inf" => true,
+ _ => false,
+ });
+ assert!(
+ match f64::NEG_INFINITY.to_string().to_lowercase().as_str() {
+ "-infinity" | "-inf" => true,
+ _ => false,
+ },
+ "Negative Infinity must write to a string as some casing of -inf or -infinity"
+ )
+}
+
+#[test]
+fn nan_to_str() {
+ assert!(
+ match f32::NAN.to_string().to_lowercase().as_str() {
+ "nan" | "+nan" | "-nan" => true,
+ _ => false,
+ },
+ "NaNs must write to a string as some casing of nan."
+ )
+}
+
+// "+"?("inf"|"infinity") in any case => Infinity
+#[test]
+fn infinity_from_str() {
+ assert_biteq!(f32::INFINITY, f32::from_str("infinity").unwrap());
+ assert_biteq!(f32::INFINITY, f32::from_str("inf").unwrap());
+ assert_biteq!(f32::INFINITY, f32::from_str("+infinity").unwrap());
+ assert_biteq!(f32::INFINITY, f32::from_str("+inf").unwrap());
+ // yes! this means you are weLcOmE tO mY iNfInItElY tWiStEd MiNd
+ assert_biteq!(f32::INFINITY, f32::from_str("+iNfInItY").unwrap());
+}
+
+// "-inf"|"-infinity" in any case => Negative Infinity
+#[test]
+fn neg_infinity_from_str() {
+ assert_biteq!(f32::NEG_INFINITY, f32::from_str("-infinity").unwrap());
+ assert_biteq!(f32::NEG_INFINITY, f32::from_str("-inf").unwrap());
+ assert_biteq!(f32::NEG_INFINITY, f32::from_str("-INF").unwrap());
+ assert_biteq!(f32::NEG_INFINITY, f32::from_str("-INFinity").unwrap());
+}
+
+// ("+"|"-"")?"s"?"nan" in any case => qNaN
+#[test]
+fn qnan_from_str() {
+ assert!("nan".parse::<f32>().unwrap().is_nan());
+ assert!("-nan".parse::<f32>().unwrap().is_nan());
+ assert!("+nan".parse::<f32>().unwrap().is_nan());
+ assert!("+NAN".parse::<f32>().unwrap().is_nan());
+ assert!("-NaN".parse::<f32>().unwrap().is_nan());
+}