File TOP-NOBUG-revendor-253172.patch of Package seamonkey

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File TOP-NOBUG-revendor-253172.patch of Package seamonkey (Revision 876e8253ab33abf187d40700c167a1f5)

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# HG changeset patch
# User Frank-Rainer Grahl <frgrahl@gmx.net>
# Date 1694901743 -7200
# Parent  b5cbf8136d77cde697224f8bfecac2e03f751f1a
No Bug - Revendor rust dependencies. r=me a=me

diff --git a/Cargo.lock b/Cargo.lock
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -102,16 +102,22 @@ dependencies = [
  "libc",
  "log 0.3.9",
  "slab",
  "tokio-core",
  "tokio-uds",
 ]
 
 [[package]]
+name = "autocfg"
+version = "1.1.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "d468802bab17cbc0cc575e9b053f41e72aa36bfa6b7f55e3529ffa43161b97fa"
+
+[[package]]
 name = "base64"
 version = "0.4.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "979d348dc50dfcd050a87df408ec61f01a0a27ee9b4ebdc6085baba8275b2c7f"
 dependencies = [
  "byteorder",
 ]
 
@@ -1033,31 +1039,31 @@ dependencies = [
 [[package]]
 name = "mp4parse"
 version = "0.10.1"
 dependencies = [
  "bitreader",
  "byteorder",
  "log 0.4.1",
  "mp4parse_fallible",
- "num-traits 0.2.0",
+ "num-traits 0.2.15",
 ]
 
 [[package]]
 name = "mp4parse-gtest"
 version = "0.1.0"
 
 [[package]]
 name = "mp4parse_capi"
 version = "0.10.1"
 dependencies = [
  "byteorder",
  "log 0.4.1",
  "mp4parse",
- "num-traits 0.2.0",
+ "num-traits 0.2.15",
 ]
 
 [[package]]
 name = "mp4parse_fallible"
 version = "0.0.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "6626c2aef76eb8f984eef02e475883d3fe9112e114720446c5810fc5f045cd30"
 
@@ -1125,24 +1131,27 @@ dependencies = [
 ]
 
 [[package]]
 name = "num-traits"
 version = "0.1.43"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "92e5113e9fd4cc14ded8e499429f396a20f98c772a47cc8622a736e1ec843c31"
 dependencies = [
- "num-traits 0.2.0",
+ "num-traits 0.2.15",
 ]
 
 [[package]]
 name = "num-traits"
-version = "0.2.0"
+version = "0.2.15"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "e7de20f146db9d920c45ee8ed8f71681fd9ade71909b48c3acbd766aa504cf10"
+checksum = "578ede34cf02f8924ab9447f50c28075b4d3e5b269972345e7e0372b38c6cdcd"
+dependencies = [
+ "autocfg",
+]
 
 [[package]]
 name = "num_cpus"
 version = "1.7.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "514f0d73e64be53ff320680ca671b64fe3fb91da01e1ae2ddc99eb51d453b20d"
 dependencies = [
  "libc",
@@ -1168,17 +1177,17 @@ dependencies = [
 ]
 
 [[package]]
 name = "packed_simd"
 version = "0.3.9"
 source = "git+https://github.com/hsivonen/packed_simd?rev=e588ceb568878e1a3156ea9ce551d5b63ef0cdc4#e588ceb568878e1a3156ea9ce551d5b63ef0cdc4"
 dependencies = [
  "cfg-if 1.0.0",
- "num-traits",
+ "num-traits 0.2.15",
 ]
 
 [[package]]
 name = "parking_lot"
 version = "0.4.4"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "37f364e2ce5efa24c7d0b6646d5bb61145551a0112f107ffd7499f1a3e322fbd"
 dependencies = [
diff --git a/third_party/rust/autocfg/.cargo-checksum.json b/third_party/rust/autocfg/.cargo-checksum.json
new file mode 100644
--- /dev/null
+++ b/third_party/rust/autocfg/.cargo-checksum.json
@@ -0,0 +1,1 @@
+{"files":{"Cargo.lock":"3d91565ed13de572a9ebde408a0c98e33f931d6ab52f212b0830a60b4ab26b77","Cargo.toml":"39f627122dceaad42146634719fde802fca3baa1b3908753af723074ae2a6d69","LICENSE-APACHE":"a60eea817514531668d7e00765731449fe14d059d3249e0bc93b36de45f759f2","LICENSE-MIT":"27995d58ad5c1145c1a8cd86244ce844886958a35eb2b78c6b772748669999ac","README.md":"4c8f9b5016f2a0c3dbeca5bc41241f57db5568f803e58c1fa480ae2b3638d0a9","examples/integers.rs":"589ff4271566dfa322becddf3e2c7b592e6e0bc97b02892ce75619b7e452e930","examples/paths.rs":"1b30e466b824ce8df7ad0a55334424131d9d2573d6cf9f7d5d50c09c8901d526","examples/traits.rs":"cbee6a3e1f7db60b02ae25b714926517144a77cb492021f492774cf0e1865a9e","examples/versions.rs":"38535e6d9f5bfae0de474a3db79a40e8f5da8ba9334c5ff4c363de9bc99d4d12","src/error.rs":"12de7dafea4a35d1dc2f0fa79bfa038386bbbea72bf083979f4ddf227999eeda","src/lib.rs":"6fa01458e8f9258d84f83ead24fdb0cdf9aec10838b0262f1dfbdf79c530c537","src/tests.rs":"f0e6dc1ad9223c0336c02e215ea3940acb2af6c3bc8fd791e16cd4e786e6a608","src/version.rs":"175727d5f02f2fe2271ddc9b041db2a5b9c6fe0f95afd17c73a4d982612764a3","tests/rustflags.rs":"5c8169b88216055019db61b5d7baf4abdf675e3b14b54f5037bb1e3acd0a5d3f"},"package":"d468802bab17cbc0cc575e9b053f41e72aa36bfa6b7f55e3529ffa43161b97fa"}
\ No newline at end of file
diff --git a/third_party/rust/autocfg/Cargo.lock b/third_party/rust/autocfg/Cargo.lock
new file mode 100644
--- /dev/null
+++ b/third_party/rust/autocfg/Cargo.lock
@@ -0,0 +1,7 @@
+# This file is automatically @generated by Cargo.
+# It is not intended for manual editing.
+version = 3
+
+[[package]]
+name = "autocfg"
+version = "1.1.0"
diff --git a/third_party/rust/autocfg/Cargo.toml b/third_party/rust/autocfg/Cargo.toml
new file mode 100644
--- /dev/null
+++ b/third_party/rust/autocfg/Cargo.toml
@@ -0,0 +1,24 @@
+# THIS FILE IS AUTOMATICALLY GENERATED BY CARGO
+#
+# When uploading crates to the registry Cargo will automatically
+# "normalize" Cargo.toml files for maximal compatibility
+# with all versions of Cargo and also rewrite `path` dependencies
+# to registry (e.g., crates.io) dependencies.
+#
+# If you are reading this file be aware that the original Cargo.toml
+# will likely look very different (and much more reasonable).
+# See Cargo.toml.orig for the original contents.
+
+[package]
+name = "autocfg"
+version = "1.1.0"
+authors = ["Josh Stone <cuviper@gmail.com>"]
+exclude = ["/.github/**", "/bors.toml"]
+description = "Automatic cfg for Rust compiler features"
+readme = "README.md"
+keywords = ["rustc", "build", "autoconf"]
+categories = ["development-tools::build-utils"]
+license = "Apache-2.0 OR MIT"
+repository = "https://github.com/cuviper/autocfg"
+
+[dependencies]
diff --git a/third_party/rust/autocfg/LICENSE-APACHE b/third_party/rust/autocfg/LICENSE-APACHE
new file mode 100644
--- /dev/null
+++ b/third_party/rust/autocfg/LICENSE-APACHE
@@ -0,0 +1,201 @@
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diff --git a/third_party/rust/autocfg/LICENSE-MIT b/third_party/rust/autocfg/LICENSE-MIT
new file mode 100644
--- /dev/null
+++ b/third_party/rust/autocfg/LICENSE-MIT
@@ -0,0 +1,25 @@
+Copyright (c) 2018 Josh Stone
+
+Permission is hereby granted, free of charge, to any
+person obtaining a copy of this software and associated
+documentation files (the "Software"), to deal in the
+Software without restriction, including without
+limitation the rights to use, copy, modify, merge,
+publish, distribute, sublicense, and/or sell copies of
+the Software, and to permit persons to whom the Software
+is furnished to do so, subject to the following
+conditions:
+
+The above copyright notice and this permission notice
+shall be included in all copies or substantial portions
+of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF
+ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED
+TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A
+PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT
+SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
+OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR
+IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
+DEALINGS IN THE SOFTWARE.
diff --git a/third_party/rust/autocfg/README.md b/third_party/rust/autocfg/README.md
new file mode 100644
--- /dev/null
+++ b/third_party/rust/autocfg/README.md
@@ -0,0 +1,95 @@
+autocfg
+=======
+
+[![autocfg crate](https://img.shields.io/crates/v/autocfg.svg)](https://crates.io/crates/autocfg)
+[![autocfg documentation](https://docs.rs/autocfg/badge.svg)](https://docs.rs/autocfg)
+![minimum rustc 1.0](https://img.shields.io/badge/rustc-1.0+-red.svg)
+![build status](https://github.com/cuviper/autocfg/workflows/master/badge.svg)
+
+A Rust library for build scripts to automatically configure code based on
+compiler support.  Code snippets are dynamically tested to see if the `rustc`
+will accept them, rather than hard-coding specific version support.
+
+
+## Usage
+
+Add this to your `Cargo.toml`:
+
+```toml
+[build-dependencies]
+autocfg = "1"
+```
+
+Then use it in your `build.rs` script to detect compiler features.  For
+example, to test for 128-bit integer support, it might look like:
+
+```rust
+extern crate autocfg;
+
+fn main() {
+    let ac = autocfg::new();
+    ac.emit_has_type("i128");
+
+    // (optional) We don't need to rerun for anything external.
+    autocfg::rerun_path("build.rs");
+}
+```
+
+If the type test succeeds, this will write a `cargo:rustc-cfg=has_i128` line
+for Cargo, which translates to Rust arguments `--cfg has_i128`.  Then in the
+rest of your Rust code, you can add `#[cfg(has_i128)]` conditions on code that
+should only be used when the compiler supports it.
+
+
+## Release Notes
+
+- 1.1.0 (2022-02-07)
+  - Use `CARGO_ENCODED_RUSTFLAGS` when it is set.
+
+- 1.0.1 (2020-08-20)
+  - Apply `RUSTFLAGS` for more `--target` scenarios, by @adamreichold.
+
+- 1.0.0 (2020-01-08)
+  - 🎉 Release 1.0! 🎉 (no breaking changes)
+  - Add `probe_expression` and `emit_expression_cfg` to test arbitrary expressions.
+  - Add `probe_constant` and `emit_constant_cfg` to test arbitrary constant expressions.
+
+- 0.1.7 (2019-10-20)
+  - Apply `RUSTFLAGS` when probing `$TARGET != $HOST`, mainly for sysroot, by @roblabla.
+
+- 0.1.6 (2019-08-19)
+  - Add `probe`/`emit_sysroot_crate`, by @leo60228.
+
+- 0.1.5 (2019-07-16)
+  - Mask some warnings from newer rustc.
+
+- 0.1.4 (2019-05-22)
+  - Relax `std`/`no_std` probing to a warning instead of an error.
+  - Improve `rustc` bootstrap compatibility.
+
+- 0.1.3 (2019-05-21)
+  - Auto-detects if `#![no_std]` is needed for the `$TARGET`.
+
+- 0.1.2 (2019-01-16)
+  - Add `rerun_env(ENV)` to print `cargo:rerun-if-env-changed=ENV`.
+  - Add `rerun_path(PATH)` to print `cargo:rerun-if-changed=PATH`.
+
+
+## Minimum Rust version policy
+
+This crate's minimum supported `rustc` version is `1.0.0`.  Compatibility is
+its entire reason for existence, so this crate will be extremely conservative
+about raising this requirement.  If this is ever deemed necessary, it will be
+treated as a major breaking change for semver purposes.
+
+
+## License
+
+This project is licensed under either of
+
+ * Apache License, Version 2.0, ([LICENSE-APACHE](LICENSE-APACHE) or
+   http://www.apache.org/licenses/LICENSE-2.0)
+ * MIT license ([LICENSE-MIT](LICENSE-MIT) or
+   http://opensource.org/licenses/MIT)
+
+at your option.
diff --git a/third_party/rust/autocfg/examples/integers.rs b/third_party/rust/autocfg/examples/integers.rs
new file mode 100644
--- /dev/null
+++ b/third_party/rust/autocfg/examples/integers.rs
@@ -0,0 +1,9 @@
+extern crate autocfg;
+
+fn main() {
+    // Normally, cargo will set `OUT_DIR` for build scripts.
+    let ac = autocfg::AutoCfg::with_dir("target").unwrap();
+    for i in 3..8 {
+        ac.emit_has_type(&format!("i{}", 1 << i));
+    }
+}
diff --git a/third_party/rust/autocfg/examples/paths.rs b/third_party/rust/autocfg/examples/paths.rs
new file mode 100644
--- /dev/null
+++ b/third_party/rust/autocfg/examples/paths.rs
@@ -0,0 +1,22 @@
+extern crate autocfg;
+
+fn main() {
+    // Normally, cargo will set `OUT_DIR` for build scripts.
+    let ac = autocfg::AutoCfg::with_dir("target").unwrap();
+
+    // since ancient times...
+    ac.emit_has_path("std::vec::Vec");
+    ac.emit_path_cfg("std::vec::Vec", "has_vec");
+
+    // rustc 1.10.0
+    ac.emit_has_path("std::panic::PanicInfo");
+    ac.emit_path_cfg("std::panic::PanicInfo", "has_panic_info");
+
+    // rustc 1.20.0
+    ac.emit_has_path("std::mem::ManuallyDrop");
+    ac.emit_path_cfg("std::mem::ManuallyDrop", "has_manually_drop");
+
+    // rustc 1.25.0
+    ac.emit_has_path("std::ptr::NonNull");
+    ac.emit_path_cfg("std::ptr::NonNull", "has_non_null");
+}
diff --git a/third_party/rust/autocfg/examples/traits.rs b/third_party/rust/autocfg/examples/traits.rs
new file mode 100644
--- /dev/null
+++ b/third_party/rust/autocfg/examples/traits.rs
@@ -0,0 +1,26 @@
+extern crate autocfg;
+
+fn main() {
+    // Normally, cargo will set `OUT_DIR` for build scripts.
+    let ac = autocfg::AutoCfg::with_dir("target").unwrap();
+
+    // since ancient times...
+    ac.emit_has_trait("std::ops::Add");
+    ac.emit_trait_cfg("std::ops::Add", "has_ops");
+
+    // trait parameters have to be provided
+    ac.emit_has_trait("std::borrow::Borrow<str>");
+    ac.emit_trait_cfg("std::borrow::Borrow<str>", "has_borrow");
+
+    // rustc 1.8.0
+    ac.emit_has_trait("std::ops::AddAssign");
+    ac.emit_trait_cfg("std::ops::AddAssign", "has_assign_ops");
+
+    // rustc 1.12.0
+    ac.emit_has_trait("std::iter::Sum");
+    ac.emit_trait_cfg("std::iter::Sum", "has_sum");
+
+    // rustc 1.28.0
+    ac.emit_has_trait("std::alloc::GlobalAlloc");
+    ac.emit_trait_cfg("std::alloc::GlobalAlloc", "has_global_alloc");
+}
diff --git a/third_party/rust/autocfg/examples/versions.rs b/third_party/rust/autocfg/examples/versions.rs
new file mode 100644
--- /dev/null
+++ b/third_party/rust/autocfg/examples/versions.rs
@@ -0,0 +1,9 @@
+extern crate autocfg;
+
+fn main() {
+    // Normally, cargo will set `OUT_DIR` for build scripts.
+    let ac = autocfg::AutoCfg::with_dir("target").unwrap();
+    for i in 0..100 {
+        ac.emit_rustc_version(1, i);
+    }
+}
diff --git a/third_party/rust/autocfg/src/error.rs b/third_party/rust/autocfg/src/error.rs
new file mode 100644
--- /dev/null
+++ b/third_party/rust/autocfg/src/error.rs
@@ -0,0 +1,69 @@
+use std::error;
+use std::fmt;
+use std::io;
+use std::num;
+use std::str;
+
+/// A common error type for the `autocfg` crate.
+#[derive(Debug)]
+pub struct Error {
+    kind: ErrorKind,
+}
+
+impl error::Error for Error {
+    fn description(&self) -> &str {
+        "AutoCfg error"
+    }
+
+    fn cause(&self) -> Option<&error::Error> {
+        match self.kind {
+            ErrorKind::Io(ref e) => Some(e),
+            ErrorKind::Num(ref e) => Some(e),
+            ErrorKind::Utf8(ref e) => Some(e),
+            ErrorKind::Other(_) => None,
+        }
+    }
+}
+
+impl fmt::Display for Error {
+    fn fmt(&self, f: &mut fmt::Formatter) -> Result<(), fmt::Error> {
+        match self.kind {
+            ErrorKind::Io(ref e) => e.fmt(f),
+            ErrorKind::Num(ref e) => e.fmt(f),
+            ErrorKind::Utf8(ref e) => e.fmt(f),
+            ErrorKind::Other(s) => s.fmt(f),
+        }
+    }
+}
+
+#[derive(Debug)]
+enum ErrorKind {
+    Io(io::Error),
+    Num(num::ParseIntError),
+    Utf8(str::Utf8Error),
+    Other(&'static str),
+}
+
+pub fn from_io(e: io::Error) -> Error {
+    Error {
+        kind: ErrorKind::Io(e),
+    }
+}
+
+pub fn from_num(e: num::ParseIntError) -> Error {
+    Error {
+        kind: ErrorKind::Num(e),
+    }
+}
+
+pub fn from_utf8(e: str::Utf8Error) -> Error {
+    Error {
+        kind: ErrorKind::Utf8(e),
+    }
+}
+
+pub fn from_str(s: &'static str) -> Error {
+    Error {
+        kind: ErrorKind::Other(s),
+    }
+}
diff --git a/third_party/rust/autocfg/src/lib.rs b/third_party/rust/autocfg/src/lib.rs
new file mode 100644
--- /dev/null
+++ b/third_party/rust/autocfg/src/lib.rs
@@ -0,0 +1,453 @@
+//! A Rust library for build scripts to automatically configure code based on
+//! compiler support.  Code snippets are dynamically tested to see if the `rustc`
+//! will accept them, rather than hard-coding specific version support.
+//!
+//!
+//! ## Usage
+//!
+//! Add this to your `Cargo.toml`:
+//!
+//! ```toml
+//! [build-dependencies]
+//! autocfg = "1"
+//! ```
+//!
+//! Then use it in your `build.rs` script to detect compiler features.  For
+//! example, to test for 128-bit integer support, it might look like:
+//!
+//! ```rust
+//! extern crate autocfg;
+//!
+//! fn main() {
+//! #   // Normally, cargo will set `OUT_DIR` for build scripts.
+//! #   std::env::set_var("OUT_DIR", "target");
+//!     let ac = autocfg::new();
+//!     ac.emit_has_type("i128");
+//!
+//!     // (optional) We don't need to rerun for anything external.
+//!     autocfg::rerun_path("build.rs");
+//! }
+//! ```
+//!
+//! If the type test succeeds, this will write a `cargo:rustc-cfg=has_i128` line
+//! for Cargo, which translates to Rust arguments `--cfg has_i128`.  Then in the
+//! rest of your Rust code, you can add `#[cfg(has_i128)]` conditions on code that
+//! should only be used when the compiler supports it.
+//!
+//! ## Caution
+//!
+//! Many of the probing methods of `AutoCfg` document the particular template they
+//! use, **subject to change**. The inputs are not validated to make sure they are
+//! semantically correct for their expected use, so it's _possible_ to escape and
+//! inject something unintended. However, such abuse is unsupported and will not
+//! be considered when making changes to the templates.
+
+#![deny(missing_debug_implementations)]
+#![deny(missing_docs)]
+// allow future warnings that can't be fixed while keeping 1.0 compatibility
+#![allow(unknown_lints)]
+#![allow(bare_trait_objects)]
+#![allow(ellipsis_inclusive_range_patterns)]
+
+/// Local macro to avoid `std::try!`, deprecated in Rust 1.39.
+macro_rules! try {
+    ($result:expr) => {
+        match $result {
+            Ok(value) => value,
+            Err(error) => return Err(error),
+        }
+    };
+}
+
+use std::env;
+use std::ffi::OsString;
+use std::fs;
+use std::io::{stderr, Write};
+use std::path::{Path, PathBuf};
+use std::process::{Command, Stdio};
+#[allow(deprecated)]
+use std::sync::atomic::ATOMIC_USIZE_INIT;
+use std::sync::atomic::{AtomicUsize, Ordering};
+
+mod error;
+pub use error::Error;
+
+mod version;
+use version::Version;
+
+#[cfg(test)]
+mod tests;
+
+/// Helper to detect compiler features for `cfg` output in build scripts.
+#[derive(Clone, Debug)]
+pub struct AutoCfg {
+    out_dir: PathBuf,
+    rustc: PathBuf,
+    rustc_version: Version,
+    target: Option<OsString>,
+    no_std: bool,
+    rustflags: Vec<String>,
+}
+
+/// Writes a config flag for rustc on standard out.
+///
+/// This looks like: `cargo:rustc-cfg=CFG`
+///
+/// Cargo will use this in arguments to rustc, like `--cfg CFG`.
+pub fn emit(cfg: &str) {
+    println!("cargo:rustc-cfg={}", cfg);
+}
+
+/// Writes a line telling Cargo to rerun the build script if `path` changes.
+///
+/// This looks like: `cargo:rerun-if-changed=PATH`
+///
+/// This requires at least cargo 0.7.0, corresponding to rustc 1.6.0.  Earlier
+/// versions of cargo will simply ignore the directive.
+pub fn rerun_path(path: &str) {
+    println!("cargo:rerun-if-changed={}", path);
+}
+
+/// Writes a line telling Cargo to rerun the build script if the environment
+/// variable `var` changes.
+///
+/// This looks like: `cargo:rerun-if-env-changed=VAR`
+///
+/// This requires at least cargo 0.21.0, corresponding to rustc 1.20.0.  Earlier
+/// versions of cargo will simply ignore the directive.
+pub fn rerun_env(var: &str) {
+    println!("cargo:rerun-if-env-changed={}", var);
+}
+
+/// Create a new `AutoCfg` instance.
+///
+/// # Panics
+///
+/// Panics if `AutoCfg::new()` returns an error.
+pub fn new() -> AutoCfg {
+    AutoCfg::new().unwrap()
+}
+
+impl AutoCfg {
+    /// Create a new `AutoCfg` instance.
+    ///
+    /// # Common errors
+    ///
+    /// - `rustc` can't be executed, from `RUSTC` or in the `PATH`.
+    /// - The version output from `rustc` can't be parsed.
+    /// - `OUT_DIR` is not set in the environment, or is not a writable directory.
+    ///
+    pub fn new() -> Result<Self, Error> {
+        match env::var_os("OUT_DIR") {
+            Some(d) => Self::with_dir(d),
+            None => Err(error::from_str("no OUT_DIR specified!")),
+        }
+    }
+
+    /// Create a new `AutoCfg` instance with the specified output directory.
+    ///
+    /// # Common errors
+    ///
+    /// - `rustc` can't be executed, from `RUSTC` or in the `PATH`.
+    /// - The version output from `rustc` can't be parsed.
+    /// - `dir` is not a writable directory.
+    ///
+    pub fn with_dir<T: Into<PathBuf>>(dir: T) -> Result<Self, Error> {
+        let rustc = env::var_os("RUSTC").unwrap_or_else(|| "rustc".into());
+        let rustc: PathBuf = rustc.into();
+        let rustc_version = try!(Version::from_rustc(&rustc));
+
+        let target = env::var_os("TARGET");
+
+        // Sanity check the output directory
+        let dir = dir.into();
+        let meta = try!(fs::metadata(&dir).map_err(error::from_io));
+        if !meta.is_dir() || meta.permissions().readonly() {
+            return Err(error::from_str("output path is not a writable directory"));
+        }
+
+        let mut ac = AutoCfg {
+            rustflags: rustflags(&target, &dir),
+            out_dir: dir,
+            rustc: rustc,
+            rustc_version: rustc_version,
+            target: target,
+            no_std: false,
+        };
+
+        // Sanity check with and without `std`.
+        if !ac.probe("").unwrap_or(false) {
+            ac.no_std = true;
+            if !ac.probe("").unwrap_or(false) {
+                // Neither worked, so assume nothing...
+                ac.no_std = false;
+                let warning = b"warning: autocfg could not probe for `std`\n";
+                stderr().write_all(warning).ok();
+            }
+        }
+        Ok(ac)
+    }
+
+    /// Test whether the current `rustc` reports a version greater than
+    /// or equal to "`major`.`minor`".
+    pub fn probe_rustc_version(&self, major: usize, minor: usize) -> bool {
+        self.rustc_version >= Version::new(major, minor, 0)
+    }
+
+    /// Sets a `cfg` value of the form `rustc_major_minor`, like `rustc_1_29`,
+    /// if the current `rustc` is at least that version.
+    pub fn emit_rustc_version(&self, major: usize, minor: usize) {
+        if self.probe_rustc_version(major, minor) {
+            emit(&format!("rustc_{}_{}", major, minor));
+        }
+    }
+
+    fn probe<T: AsRef<[u8]>>(&self, code: T) -> Result<bool, Error> {
+        #[allow(deprecated)]
+        static ID: AtomicUsize = ATOMIC_USIZE_INIT;
+
+        let id = ID.fetch_add(1, Ordering::Relaxed);
+        let mut command = Command::new(&self.rustc);
+        command
+            .arg("--crate-name")
+            .arg(format!("probe{}", id))
+            .arg("--crate-type=lib")
+            .arg("--out-dir")
+            .arg(&self.out_dir)
+            .arg("--emit=llvm-ir");
+
+        if let Some(target) = self.target.as_ref() {
+            command.arg("--target").arg(target);
+        }
+
+        command.args(&self.rustflags);
+
+        command.arg("-").stdin(Stdio::piped());
+        let mut child = try!(command.spawn().map_err(error::from_io));
+        let mut stdin = child.stdin.take().expect("rustc stdin");
+
+        if self.no_std {
+            try!(stdin.write_all(b"#![no_std]\n").map_err(error::from_io));
+        }
+        try!(stdin.write_all(code.as_ref()).map_err(error::from_io));
+        drop(stdin);
+
+        let status = try!(child.wait().map_err(error::from_io));
+        Ok(status.success())
+    }
+
+    /// Tests whether the given sysroot crate can be used.
+    ///
+    /// The test code is subject to change, but currently looks like:
+    ///
+    /// ```ignore
+    /// extern crate CRATE as probe;
+    /// ```
+    pub fn probe_sysroot_crate(&self, name: &str) -> bool {
+        self.probe(format!("extern crate {} as probe;", name)) // `as _` wasn't stabilized until Rust 1.33
+            .unwrap_or(false)
+    }
+
+    /// Emits a config value `has_CRATE` if `probe_sysroot_crate` returns true.
+    pub fn emit_sysroot_crate(&self, name: &str) {
+        if self.probe_sysroot_crate(name) {
+            emit(&format!("has_{}", mangle(name)));
+        }
+    }
+
+    /// Tests whether the given path can be used.
+    ///
+    /// The test code is subject to change, but currently looks like:
+    ///
+    /// ```ignore
+    /// pub use PATH;
+    /// ```
+    pub fn probe_path(&self, path: &str) -> bool {
+        self.probe(format!("pub use {};", path)).unwrap_or(false)
+    }
+
+    /// Emits a config value `has_PATH` if `probe_path` returns true.
+    ///
+    /// Any non-identifier characters in the `path` will be replaced with
+    /// `_` in the generated config value.
+    pub fn emit_has_path(&self, path: &str) {
+        if self.probe_path(path) {
+            emit(&format!("has_{}", mangle(path)));
+        }
+    }
+
+    /// Emits the given `cfg` value if `probe_path` returns true.
+    pub fn emit_path_cfg(&self, path: &str, cfg: &str) {
+        if self.probe_path(path) {
+            emit(cfg);
+        }
+    }
+
+    /// Tests whether the given trait can be used.
+    ///
+    /// The test code is subject to change, but currently looks like:
+    ///
+    /// ```ignore
+    /// pub trait Probe: TRAIT + Sized {}
+    /// ```
+    pub fn probe_trait(&self, name: &str) -> bool {
+        self.probe(format!("pub trait Probe: {} + Sized {{}}", name))
+            .unwrap_or(false)
+    }
+
+    /// Emits a config value `has_TRAIT` if `probe_trait` returns true.
+    ///
+    /// Any non-identifier characters in the trait `name` will be replaced with
+    /// `_` in the generated config value.
+    pub fn emit_has_trait(&self, name: &str) {
+        if self.probe_trait(name) {
+            emit(&format!("has_{}", mangle(name)));
+        }
+    }
+
+    /// Emits the given `cfg` value if `probe_trait` returns true.
+    pub fn emit_trait_cfg(&self, name: &str, cfg: &str) {
+        if self.probe_trait(name) {
+            emit(cfg);
+        }
+    }
+
+    /// Tests whether the given type can be used.
+    ///
+    /// The test code is subject to change, but currently looks like:
+    ///
+    /// ```ignore
+    /// pub type Probe = TYPE;
+    /// ```
+    pub fn probe_type(&self, name: &str) -> bool {
+        self.probe(format!("pub type Probe = {};", name))
+            .unwrap_or(false)
+    }
+
+    /// Emits a config value `has_TYPE` if `probe_type` returns true.
+    ///
+    /// Any non-identifier characters in the type `name` will be replaced with
+    /// `_` in the generated config value.
+    pub fn emit_has_type(&self, name: &str) {
+        if self.probe_type(name) {
+            emit(&format!("has_{}", mangle(name)));
+        }
+    }
+
+    /// Emits the given `cfg` value if `probe_type` returns true.
+    pub fn emit_type_cfg(&self, name: &str, cfg: &str) {
+        if self.probe_type(name) {
+            emit(cfg);
+        }
+    }
+
+    /// Tests whether the given expression can be used.
+    ///
+    /// The test code is subject to change, but currently looks like:
+    ///
+    /// ```ignore
+    /// pub fn probe() { let _ = EXPR; }
+    /// ```
+    pub fn probe_expression(&self, expr: &str) -> bool {
+        self.probe(format!("pub fn probe() {{ let _ = {}; }}", expr))
+            .unwrap_or(false)
+    }
+
+    /// Emits the given `cfg` value if `probe_expression` returns true.
+    pub fn emit_expression_cfg(&self, expr: &str, cfg: &str) {
+        if self.probe_expression(expr) {
+            emit(cfg);
+        }
+    }
+
+    /// Tests whether the given constant expression can be used.
+    ///
+    /// The test code is subject to change, but currently looks like:
+    ///
+    /// ```ignore
+    /// pub const PROBE: () = ((), EXPR).0;
+    /// ```
+    pub fn probe_constant(&self, expr: &str) -> bool {
+        self.probe(format!("pub const PROBE: () = ((), {}).0;", expr))
+            .unwrap_or(false)
+    }
+
+    /// Emits the given `cfg` value if `probe_constant` returns true.
+    pub fn emit_constant_cfg(&self, expr: &str, cfg: &str) {
+        if self.probe_constant(expr) {
+            emit(cfg);
+        }
+    }
+}
+
+fn mangle(s: &str) -> String {
+    s.chars()
+        .map(|c| match c {
+            'A'...'Z' | 'a'...'z' | '0'...'9' => c,
+            _ => '_',
+        })
+        .collect()
+}
+
+fn dir_contains_target(
+    target: &Option<OsString>,
+    dir: &Path,
+    cargo_target_dir: Option<OsString>,
+) -> bool {
+    target
+        .as_ref()
+        .and_then(|target| {
+            dir.to_str().and_then(|dir| {
+                let mut cargo_target_dir = cargo_target_dir
+                    .map(PathBuf::from)
+                    .unwrap_or_else(|| PathBuf::from("target"));
+                cargo_target_dir.push(target);
+
+                cargo_target_dir
+                    .to_str()
+                    .map(|cargo_target_dir| dir.contains(&cargo_target_dir))
+            })
+        })
+        .unwrap_or(false)
+}
+
+fn rustflags(target: &Option<OsString>, dir: &Path) -> Vec<String> {
+    // Starting with rust-lang/cargo#9601, shipped in Rust 1.55, Cargo always sets
+    // CARGO_ENCODED_RUSTFLAGS for any host/target build script invocation. This
+    // includes any source of flags, whether from the environment, toml config, or
+    // whatever may come in the future. The value is either an empty string, or a
+    // list of arguments separated by the ASCII unit separator (US), 0x1f.
+    if let Ok(a) = env::var("CARGO_ENCODED_RUSTFLAGS") {
+        return if a.is_empty() {
+            Vec::new()
+        } else {
+            a.split('\x1f').map(str::to_string).collect()
+        };
+    }
+
+    // Otherwise, we have to take a more heuristic approach, and we don't
+    // support values from toml config at all.
+    //
+    // Cargo only applies RUSTFLAGS for building TARGET artifact in
+    // cross-compilation environment. Sadly, we don't have a way to detect
+    // when we're building HOST artifact in a cross-compilation environment,
+    // so for now we only apply RUSTFLAGS when cross-compiling an artifact.
+    //
+    // See https://github.com/cuviper/autocfg/pull/10#issuecomment-527575030.
+    if *target != env::var_os("HOST")
+        || dir_contains_target(target, dir, env::var_os("CARGO_TARGET_DIR"))
+    {
+        if let Ok(rustflags) = env::var("RUSTFLAGS") {
+            // This is meant to match how cargo handles the RUSTFLAGS environment variable.
+            // See https://github.com/rust-lang/cargo/blob/69aea5b6f69add7c51cca939a79644080c0b0ba0/src/cargo/core/compiler/build_context/target_info.rs#L434-L441
+            return rustflags
+                .split(' ')
+                .map(str::trim)
+                .filter(|s| !s.is_empty())
+                .map(str::to_string)
+                .collect();
+        }
+    }
+
+    Vec::new()
+}
diff --git a/third_party/rust/autocfg/src/tests.rs b/third_party/rust/autocfg/src/tests.rs
new file mode 100644
--- /dev/null
+++ b/third_party/rust/autocfg/src/tests.rs
@@ -0,0 +1,174 @@
+use super::AutoCfg;
+use std::env;
+use std::path::Path;
+
+impl AutoCfg {
+    fn core_std(&self, path: &str) -> String {
+        let krate = if self.no_std { "core" } else { "std" };
+        format!("{}::{}", krate, path)
+    }
+
+    fn assert_std(&self, probe_result: bool) {
+        assert_eq!(!self.no_std, probe_result);
+    }
+
+    fn assert_min(&self, major: usize, minor: usize, probe_result: bool) {
+        assert_eq!(self.probe_rustc_version(major, minor), probe_result);
+    }
+
+    fn for_test() -> Result<Self, super::error::Error> {
+        match env::var_os("TESTS_TARGET_DIR") {
+            Some(d) => Self::with_dir(d),
+            None => Self::with_dir("target"),
+        }
+    }
+}
+
+#[test]
+fn autocfg_version() {
+    let ac = AutoCfg::for_test().unwrap();
+    println!("version: {:?}", ac.rustc_version);
+    assert!(ac.probe_rustc_version(1, 0));
+}
+
+#[test]
+fn version_cmp() {
+    use super::version::Version;
+    let v123 = Version::new(1, 2, 3);
+
+    assert!(Version::new(1, 0, 0) < v123);
+    assert!(Version::new(1, 2, 2) < v123);
+    assert!(Version::new(1, 2, 3) == v123);
+    assert!(Version::new(1, 2, 4) > v123);
+    assert!(Version::new(1, 10, 0) > v123);
+    assert!(Version::new(2, 0, 0) > v123);
+}
+
+#[test]
+fn probe_add() {
+    let ac = AutoCfg::for_test().unwrap();
+    let add = ac.core_std("ops::Add");
+    let add_rhs = add.clone() + "<i32>";
+    let add_rhs_output = add.clone() + "<i32, Output = i32>";
+    let dyn_add_rhs_output = "dyn ".to_string() + &*add_rhs_output;
+    assert!(ac.probe_path(&add));
+    assert!(ac.probe_trait(&add));
+    assert!(ac.probe_trait(&add_rhs));
+    assert!(ac.probe_trait(&add_rhs_output));
+    ac.assert_min(1, 27, ac.probe_type(&dyn_add_rhs_output));
+}
+
+#[test]
+fn probe_as_ref() {
+    let ac = AutoCfg::for_test().unwrap();
+    let as_ref = ac.core_std("convert::AsRef");
+    let as_ref_str = as_ref.clone() + "<str>";
+    let dyn_as_ref_str = "dyn ".to_string() + &*as_ref_str;
+    assert!(ac.probe_path(&as_ref));
+    assert!(ac.probe_trait(&as_ref_str));
+    assert!(ac.probe_type(&as_ref_str));
+    ac.assert_min(1, 27, ac.probe_type(&dyn_as_ref_str));
+}
+
+#[test]
+fn probe_i128() {
+    let ac = AutoCfg::for_test().unwrap();
+    let i128_path = ac.core_std("i128");
+    ac.assert_min(1, 26, ac.probe_path(&i128_path));
+    ac.assert_min(1, 26, ac.probe_type("i128"));
+}
+
+#[test]
+fn probe_sum() {
+    let ac = AutoCfg::for_test().unwrap();
+    let sum = ac.core_std("iter::Sum");
+    let sum_i32 = sum.clone() + "<i32>";
+    let dyn_sum_i32 = "dyn ".to_string() + &*sum_i32;
+    ac.assert_min(1, 12, ac.probe_path(&sum));
+    ac.assert_min(1, 12, ac.probe_trait(&sum));
+    ac.assert_min(1, 12, ac.probe_trait(&sum_i32));
+    ac.assert_min(1, 12, ac.probe_type(&sum_i32));
+    ac.assert_min(1, 27, ac.probe_type(&dyn_sum_i32));
+}
+
+#[test]
+fn probe_std() {
+    let ac = AutoCfg::for_test().unwrap();
+    ac.assert_std(ac.probe_sysroot_crate("std"));
+}
+
+#[test]
+fn probe_alloc() {
+    let ac = AutoCfg::for_test().unwrap();
+    ac.assert_min(1, 36, ac.probe_sysroot_crate("alloc"));
+}
+
+#[test]
+fn probe_bad_sysroot_crate() {
+    let ac = AutoCfg::for_test().unwrap();
+    assert!(!ac.probe_sysroot_crate("doesnt_exist"));
+}
+
+#[test]
+fn probe_no_std() {
+    let ac = AutoCfg::for_test().unwrap();
+    assert!(ac.probe_type("i32"));
+    assert!(ac.probe_type("[i32]"));
+    ac.assert_std(ac.probe_type("Vec<i32>"));
+}
+
+#[test]
+fn probe_expression() {
+    let ac = AutoCfg::for_test().unwrap();
+    assert!(ac.probe_expression(r#""test".trim_left()"#));
+    ac.assert_min(1, 30, ac.probe_expression(r#""test".trim_start()"#));
+    ac.assert_std(ac.probe_expression("[1, 2, 3].to_vec()"));
+}
+
+#[test]
+fn probe_constant() {
+    let ac = AutoCfg::for_test().unwrap();
+    assert!(ac.probe_constant("1 + 2 + 3"));
+    ac.assert_min(1, 33, ac.probe_constant("{ let x = 1 + 2 + 3; x * x }"));
+    ac.assert_min(1, 39, ac.probe_constant(r#""test".len()"#));
+}
+
+#[test]
+fn dir_does_not_contain_target() {
+    assert!(!super::dir_contains_target(
+        &Some("x86_64-unknown-linux-gnu".into()),
+        Path::new("/project/target/debug/build/project-ea75983148559682/out"),
+        None,
+    ));
+}
+
+#[test]
+fn dir_does_contain_target() {
+    assert!(super::dir_contains_target(
+        &Some("x86_64-unknown-linux-gnu".into()),
+        Path::new(
+            "/project/target/x86_64-unknown-linux-gnu/debug/build/project-0147aca016480b9d/out"
+        ),
+        None,
+    ));
+}
+
+#[test]
+fn dir_does_not_contain_target_with_custom_target_dir() {
+    assert!(!super::dir_contains_target(
+        &Some("x86_64-unknown-linux-gnu".into()),
+        Path::new("/project/custom/debug/build/project-ea75983148559682/out"),
+        Some("custom".into()),
+    ));
+}
+
+#[test]
+fn dir_does_contain_target_with_custom_target_dir() {
+    assert!(super::dir_contains_target(
+        &Some("x86_64-unknown-linux-gnu".into()),
+        Path::new(
+            "/project/custom/x86_64-unknown-linux-gnu/debug/build/project-0147aca016480b9d/out"
+        ),
+        Some("custom".into()),
+    ));
+}
diff --git a/third_party/rust/autocfg/src/version.rs b/third_party/rust/autocfg/src/version.rs
new file mode 100644
--- /dev/null
+++ b/third_party/rust/autocfg/src/version.rs
@@ -0,0 +1,60 @@
+use std::path::Path;
+use std::process::Command;
+use std::str;
+
+use super::{error, Error};
+
+/// A version structure for making relative comparisons.
+#[derive(Clone, Debug, PartialEq, Eq, PartialOrd, Ord)]
+pub struct Version {
+    major: usize,
+    minor: usize,
+    patch: usize,
+}
+
+impl Version {
+    /// Creates a `Version` instance for a specific `major.minor.patch` version.
+    pub fn new(major: usize, minor: usize, patch: usize) -> Self {
+        Version {
+            major: major,
+            minor: minor,
+            patch: patch,
+        }
+    }
+
+    pub fn from_rustc(rustc: &Path) -> Result<Self, Error> {
+        // Get rustc's verbose version
+        let output = try!(Command::new(rustc)
+            .args(&["--version", "--verbose"])
+            .output()
+            .map_err(error::from_io));
+        if !output.status.success() {
+            return Err(error::from_str("could not execute rustc"));
+        }
+        let output = try!(str::from_utf8(&output.stdout).map_err(error::from_utf8));
+
+        // Find the release line in the verbose version output.
+        let release = match output.lines().find(|line| line.starts_with("release: ")) {
+            Some(line) => &line["release: ".len()..],
+            None => return Err(error::from_str("could not find rustc release")),
+        };
+
+        // Strip off any extra channel info, e.g. "-beta.N", "-nightly"
+        let version = match release.find('-') {
+            Some(i) => &release[..i],
+            None => release,
+        };
+
+        // Split the version into semver components.
+        let mut iter = version.splitn(3, '.');
+        let major = try!(iter.next().ok_or(error::from_str("missing major version")));
+        let minor = try!(iter.next().ok_or(error::from_str("missing minor version")));
+        let patch = try!(iter.next().ok_or(error::from_str("missing patch version")));
+
+        Ok(Version::new(
+            try!(major.parse().map_err(error::from_num)),
+            try!(minor.parse().map_err(error::from_num)),
+            try!(patch.parse().map_err(error::from_num)),
+        ))
+    }
+}
diff --git a/third_party/rust/autocfg/tests/rustflags.rs b/third_party/rust/autocfg/tests/rustflags.rs
new file mode 100644
--- /dev/null
+++ b/third_party/rust/autocfg/tests/rustflags.rs
@@ -0,0 +1,33 @@
+extern crate autocfg;
+
+use std::env;
+
+/// Tests that autocfg uses the RUSTFLAGS or CARGO_ENCODED_RUSTFLAGS
+/// environment variables when running rustc.
+#[test]
+fn test_with_sysroot() {
+    // Use the same path as this test binary.
+    let dir = env::current_exe().unwrap().parent().unwrap().to_path_buf();
+    env::set_var("OUT_DIR", &format!("{}", dir.display()));
+
+    // If we have encoded rustflags, they take precedence, even if empty.
+    env::set_var("CARGO_ENCODED_RUSTFLAGS", "");
+    env::set_var("RUSTFLAGS", &format!("-L {}", dir.display()));
+    let ac = autocfg::AutoCfg::new().unwrap();
+    assert!(ac.probe_sysroot_crate("std"));
+    assert!(!ac.probe_sysroot_crate("autocfg"));
+
+    // Now try again with useful encoded args.
+    env::set_var(
+        "CARGO_ENCODED_RUSTFLAGS",
+        &format!("-L\x1f{}", dir.display()),
+    );
+    let ac = autocfg::AutoCfg::new().unwrap();
+    assert!(ac.probe_sysroot_crate("autocfg"));
+
+    // Try the old-style RUSTFLAGS, ensuring HOST != TARGET.
+    env::remove_var("CARGO_ENCODED_RUSTFLAGS");
+    env::set_var("HOST", "lol");
+    let ac = autocfg::AutoCfg::new().unwrap();
+    assert!(ac.probe_sysroot_crate("autocfg"));
+}
diff --git a/third_party/rust/num-traits/.cargo-checksum.json b/third_party/rust/num-traits/.cargo-checksum.json
--- a/third_party/rust/num-traits/.cargo-checksum.json
+++ b/third_party/rust/num-traits/.cargo-checksum.json
@@ -1,1 +1,1 @@
-{"files":{"Cargo.toml":"d6798dc92f8b83a8811446ae2e47c51564eb2b49162051b61a1eeec8bbed0da6","LICENSE-APACHE":"a60eea817514531668d7e00765731449fe14d059d3249e0bc93b36de45f759f2","LICENSE-MIT":"6485b8ed310d3f0340bf1ad1f47645069ce4069dcc6bb46c7d5c6faf41de1fdb","README.md":"fc9a4b3719a828c9128e957ee7b9e2f795cc92a7cc50c1dda50e14126e0b4a77","RELEASES.md":"86c3e6703e6948bfc23c165a8b121930b8da4ffc7c38ab49d7a9e27b1655090e","bors.toml":"1c81ede536a37edd30fe4e622ff0531b25372403ac9475a5d6c50f14156565a2","ci/rustup.sh":"723d546a1ffefcdd5d4db9fb26dbf4128954e3991aff32932284cdc67fa5c85e","ci/test_full.sh":"c64b1d6f96baad0ea3bceb6842e7a706c4b414c99fddca55c2c30c81ae63d33a","src/bounds.rs":"d75e65f4f0e1337be06d2753ca06c23f099beb91d15215ac3230e9d441fcf4d0","src/cast.rs":"c06d1fd279b78386795384885a12742f9f31c95f364761acf0ed110184dc6bbc","src/float.rs":"841a2614519aac9f54b87e84a542df49346aa27254bd226b2dabe7966304fd0f","src/identities.rs":"f5389cf96b0d7ef55bd688961a58c4d7c0f3bd3bd48fe771948534e6bc05f29c","src/int.rs":"d6c51c943198a3aa071bfeb748101b2ce806fdef1ed6c26ef8f28f1e5a810f47","src/lib.rs":"29e4583f84b13ce2c0a6e5bbf4932183a19878e3cbab2387896b9e11c7729d5d","src/ops/checked.rs":"b2fc7ce21bca9c237f29149a553156a80d5ef94100c55128e05b946a575634c4","src/ops/mod.rs":"668ea4d117bc1fdf7eaf0fe16692fa40dfbdfcbc7a2010237fe395ce0086e02e","src/ops/saturating.rs":"46821d815c90c16b2f6bec0b94b4d7ebdbddf3ea42edc0467de738c56abf6436","src/ops/wrapping.rs":"5b274e7fc77d11ba37bb2fc98dabbbb8910f83b14d2505f775bd5a2e19445f6b","src/pow.rs":"4cedc57fc1446f436f729a68c1c4de797d316e4c1c341dead8f6ea0801c9f1ac","src/real.rs":"5e9436436593ed9c005078b9fe33477714490f959cae66ae2ae610da3eceb5f6","src/sign.rs":"f86aa7e9720698807455eabaf5f77b9fe68432fbb1a9291faf73b0c9f648d540"},"package":"e7de20f146db9d920c45ee8ed8f71681fd9ade71909b48c3acbd766aa504cf10"}
\ No newline at end of file
+{"files":{"Cargo.toml":"5b2749641deeabb2dfcc8e4d7e26ccfbc306800021e0d24e8367f313e57f9def","LICENSE-APACHE":"a60eea817514531668d7e00765731449fe14d059d3249e0bc93b36de45f759f2","LICENSE-MIT":"6485b8ed310d3f0340bf1ad1f47645069ce4069dcc6bb46c7d5c6faf41de1fdb","README.md":"81e7df6fa6bea6f8c2809f9af68e3d32e7a4504b93394f775d37ed3d9f7f9166","RELEASES.md":"e1f774cba66e5e15e1086ab8afebece771140dd4168f59dca8dd4fd5e50b72dc","build.rs":"cf682b2322303196e241048cb56d873597b78a3b4e3f275f6f761dadb33a65f5","src/bounds.rs":"c90190de4dfba13c49119dbdf889726f8ece1cbd7dfd4bbfa364ea995f627e49","src/cast.rs":"8c8384dcdfaf926b9331399d528278fc73851f8b5e1105dee343f4f19557e932","src/float.rs":"6a84820f4828515639565848a63359b3e69329aa36b990178adbfc7d141ef0c5","src/identities.rs":"5b6238ebd52e1fadd5b405bc40ad81e45346bcb1c4b46cf1f0496a30be7c9bc4","src/int.rs":"bb4c0f4ce8d71e262bd9119ab820dd5a79e2bd476a8ad7e84b2167733b11d9d8","src/lib.rs":"cc0c8352b3f29a22b17f76e9cfe12acb279ec2aac5e22a9395569d58445c137c","src/macros.rs":"ee96613a2c73a3bef10ec7ae4d359dbf5f0b41f83e8a87c3d62ccc18dd27e498","src/ops/checked.rs":"b6dfae21fe1a5ce41e92074c57d204284975ec56d45e63cac5f0136b8c3643b4","src/ops/euclid.rs":"71e0e181bd365c196a7dea980c2ec8bd47fd1d1d9b47bd3f401edcadb861eb0b","src/ops/inv.rs":"dd80b9bd48d815f17855a25842287942317fa49d1fdcdd655b61bd20ef927cda","src/ops/mod.rs":"3bea8b98fa7537c0a5b4562d1b9d4d49481f1e2e88941cfd4cc8f0f3f0870fb3","src/ops/mul_add.rs":"368bdebb40b16f3b4b85cf50235954268ff601ec7a458a3a83fe433f47f86f6d","src/ops/overflowing.rs":"1b92882a5a738ea4cafdb0971101dc438be9043f540e1246f58f7c9ecf6348dc","src/ops/saturating.rs":"6fb4b2a2c78d9202152a84586d7b068444b78d3caed4b293980832672a234d4b","src/ops/wrapping.rs":"0acf88c0e5fc81a3c6790b31986ab9be5b16c720c9e27461fe5d69b710ffcaba","src/pow.rs":"9f78cb9c4d5987b59e16f4141723a33ff689781cc352f357b0cc0111d22cde3a","src/real.rs":"b5115bb2cfb752a59426bb3fcbabf9cff15521a00a3f8b5ef4dfc0b0b31bb1f4","src/sign.rs":"83562caa3501c6873558eb64c9e3bfe25b4b20d38562a7aa7cc9adafcb3ff037","tests/cast.rs":"0a41785611b3909ecb4a88d6d5264a85564f6de8fbfc761436d3c8baafc8e3d0"},"package":"578ede34cf02f8924ab9447f50c28075b4d3e5b269972345e7e0372b38c6cdcd"}
\ No newline at end of file
diff --git a/third_party/rust/num-traits/Cargo.toml b/third_party/rust/num-traits/Cargo.toml
--- a/third_party/rust/num-traits/Cargo.toml
+++ b/third_party/rust/num-traits/Cargo.toml
@@ -1,30 +1,51 @@
 # THIS FILE IS AUTOMATICALLY GENERATED BY CARGO
 #
 # When uploading crates to the registry Cargo will automatically
 # "normalize" Cargo.toml files for maximal compatibility
 # with all versions of Cargo and also rewrite `path` dependencies
-# to registry (e.g. crates.io) dependencies
+# to registry (e.g., crates.io) dependencies.
 #
-# If you believe there's an error in this file please file an
-# issue against the rust-lang/cargo repository. If you're
-# editing this file be aware that the upstream Cargo.toml
-# will likely look very different (and much more reasonable)
+# If you are reading this file be aware that the original Cargo.toml
+# will likely look very different (and much more reasonable).
+# See Cargo.toml.orig for the original contents.
 
 [package]
 name = "num-traits"
-version = "0.2.0"
+version = "0.2.15"
 authors = ["The Rust Project Developers"]
+build = "build.rs"
+exclude = [
+    "/bors.toml",
+    "/ci/*",
+    "/.github/*",
+]
 description = "Numeric traits for generic mathematics"
 homepage = "https://github.com/rust-num/num-traits"
 documentation = "https://docs.rs/num-traits"
 readme = "README.md"
-keywords = ["mathematics", "numerics"]
-categories = ["algorithms", "science"]
-license = "MIT/Apache-2.0"
+keywords = [
+    "mathematics",
+    "numerics",
+]
+categories = [
+    "algorithms",
+    "science",
+    "no-std",
+]
+license = "MIT OR Apache-2.0"
 repository = "https://github.com/rust-num/num-traits"
 
-[dependencies]
+[package.metadata.docs.rs]
+features = ["std"]
+
+[dependencies.libm]
+version = "0.2.0"
+optional = true
+
+[build-dependencies.autocfg]
+version = "1"
 
 [features]
 default = ["std"]
+i128 = []
 std = []
diff --git a/third_party/rust/num-traits/README.md b/third_party/rust/num-traits/README.md
--- a/third_party/rust/num-traits/README.md
+++ b/third_party/rust/num-traits/README.md
@@ -1,44 +1,63 @@
 # num-traits
 
 [![crate](https://img.shields.io/crates/v/num-traits.svg)](https://crates.io/crates/num-traits)
 [![documentation](https://docs.rs/num-traits/badge.svg)](https://docs.rs/num-traits)
-![minimum rustc 1.8](https://img.shields.io/badge/rustc-1.8+-red.svg)
-[![Travis status](https://travis-ci.org/rust-num/num-traits.svg?branch=master)](https://travis-ci.org/rust-num/num-traits)
+[![minimum rustc 1.8](https://img.shields.io/badge/rustc-1.8+-red.svg)](https://rust-lang.github.io/rfcs/2495-min-rust-version.html)
+[![build status](https://github.com/rust-num/num-traits/workflows/master/badge.svg)](https://github.com/rust-num/num-traits/actions)
 
 Numeric traits for generic mathematics in Rust.
 
 ## Usage
 
 Add this to your `Cargo.toml`:
 
 ```toml
 [dependencies]
 num-traits = "0.2"
 ```
 
-and this to your crate root:
-
-```rust
-extern crate num_traits;
-```
-
 ## Features
 
 This crate can be used without the standard library (`#![no_std]`) by disabling
-the default `std` feature.  Use this in `Cargo.toml`:
+the default `std` feature. Use this in `Cargo.toml`:
 
 ```toml
 [dependencies.num-traits]
 version = "0.2"
 default-features = false
+# features = ["libm"]    # <--- Uncomment if you wish to use `Float` and `Real` without `std`
 ```
 
-The `Float` and `Real` traits are only available when `std` is enabled.
+The `Float` and `Real` traits are only available when either `std` or `libm` is enabled.  
+The `libm` feature is only available with Rust 1.31 and later ([see PR #99](https://github.com/rust-num/num-traits/pull/99)).
+
+The `FloatCore` trait is always available.  `MulAdd` and `MulAddAssign` for `f32`
+and `f64` also require `std` or `libm`, as do implementations of signed and floating-
+point exponents in `Pow`.
+
+Implementations for `i128` and `u128` are only available with Rust 1.26 and
+later.  The build script automatically detects this, but you can make it
+mandatory by enabling the `i128` crate feature.
 
 ## Releases
 
 Release notes are available in [RELEASES.md](RELEASES.md).
 
 ## Compatibility
 
 The `num-traits` crate is tested for rustc 1.8 and greater.
+
+## License
+
+Licensed under either of
+
+ * [Apache License, Version 2.0](http://www.apache.org/licenses/LICENSE-2.0)
+ * [MIT license](http://opensource.org/licenses/MIT)
+
+at your option.
+
+### Contribution
+
+Unless you explicitly state otherwise, any contribution intentionally submitted
+for inclusion in the work by you, as defined in the Apache-2.0 license, shall be
+dual licensed as above, without any additional terms or conditions.
diff --git a/third_party/rust/num-traits/RELEASES.md b/third_party/rust/num-traits/RELEASES.md
--- a/third_party/rust/num-traits/RELEASES.md
+++ b/third_party/rust/num-traits/RELEASES.md
@@ -1,26 +1,244 @@
-# Release 0.2.0
+# Release 0.2.15 (2022-05-02)
+
+- [The new `Euclid` trait calculates Euclidean division][195], where the
+  remainder is always positive or zero.
+- [The new `LowerBounded` and `UpperBounded` traits][210] separately describe
+  types with lower and upper bounds. These traits are automatically implemented
+  for all fully-`Bounded` types.
+- [The new `Float::copysign` method copies the sign of the argument][207] to
+  to the magnitude of `self`.
+- [The new `PrimInt::leading_ones` and `trailing_ones` methods][205] are the
+  complement of the existing methods that count zero bits.
+- [The new `PrimInt::reverse_bits` method reverses the order of all bits][202]
+  of a primitive integer.
+- [Improved `Num::from_str_radix` for floats][201], also [ignoring case][214].
+- [`Float` and `FloatCore` use more from `libm`][196] when that is enabled.
+
+**Contributors**: @alion02, @clarfonthey, @cuviper, @ElectronicRU,
+@ibraheemdev, @SparrowLii, @sshilovsky, @tspiteri, @XAMPPRocky, @Xiretza
+
+[195]: https://github.com/rust-num/num-traits/pull/195
+[196]: https://github.com/rust-num/num-traits/pull/196
+[201]: https://github.com/rust-num/num-traits/pull/201
+[202]: https://github.com/rust-num/num-traits/pull/202
+[205]: https://github.com/rust-num/num-traits/pull/205
+[207]: https://github.com/rust-num/num-traits/pull/207
+[210]: https://github.com/rust-num/num-traits/pull/210
+[214]: https://github.com/rust-num/num-traits/pull/214
+
+# Release 0.2.14 (2020-10-29)
+
+- Clarify the license specification as "MIT OR Apache-2.0".
+
+**Contributors**: @cuviper
+
+# Release 0.2.13 (2020-10-29)
+
+- [The new `OverflowingAdd`, `OverflowingSub`, and `OverflowingMul` traits][180]
+  return a tuple with the operation result and a `bool` indicating overflow.
+- [The "i128" feature now overrides compiler probes for that support][185].
+  This may fix scenarios where `autocfg` probing doesn't work properly.
+- [Casts from large `f64` values to `f32` now saturate to infinity][186]. They
+  previously returned `None` because that was once thought to be undefined
+  behavior, but [rust#15536] resolved that such casts are fine.
+- [`Num::from_str_radix` documents requirements for radix support][192], which
+  are now more relaxed than previously implied. It is suggested to accept at
+  least `2..=36` without panicking, but `Err` may be returned otherwise.
+
+**Contributors**: @cuviper, @Enet4, @KaczuH, @martin-t, @newpavlov
+
+[180]: https://github.com/rust-num/num-traits/pull/180
+[185]: https://github.com/rust-num/num-traits/pull/185
+[186]: https://github.com/rust-num/num-traits/pull/186
+[192]: https://github.com/rust-num/num-traits/issues/192
+[rust#15536]: https://github.com/rust-lang/rust/issues/15536
+
+# Release 0.2.12 (2020-06-11)
+
+- [The new `WrappingNeg` trait][153] will wrap the result if it exceeds the
+  boundary of the type, e.g. `i32::MIN.wrapping_neg() == i32::MIN`.
+- [The new `SaturatingAdd`, `SaturatingSub`, and `SaturatingMul` traits][165]
+  will saturate at the numeric bounds if the operation would overflow. These
+  soft-deprecate the existing `Saturating` trait that only has addition and
+  subtraction methods.
+- [Added new constants for logarithms, `FloatConst::{LOG10_2, LOG2_10}`][171].
+
+**Contributors**: @cuviper, @ocstl, @trepetti, @vallentin
+
+[153]: https://github.com/rust-num/num-traits/pull/153
+[165]: https://github.com/rust-num/num-traits/pull/165
+[171]: https://github.com/rust-num/num-traits/pull/171
+
+# Release 0.2.11 (2020-01-09)
+
+- [Added the full circle constant τ as `FloatConst::TAU`][145].
+- [Updated the `autocfg` build dependency to 1.0][148].
+
+**Contributors**: @cuviper, @m-ou-se
+
+[145]: https://github.com/rust-num/num-traits/pull/145
+[148]: https://github.com/rust-num/num-traits/pull/148
+
+# Release 0.2.10 (2019-11-22)
+
+- [Updated the `libm` dependency to 0.2][144].
+
+**Contributors**: @CryZe
+
+[144]: https://github.com/rust-num/num-traits/pull/144
+
+# Release 0.2.9 (2019-11-12)
+
+- [A new optional `libm` dependency][99] enables the `Float` and `Real` traits
+  in `no_std` builds.
+- [The new `clamp_min` and `clamp_max`][122] limit minimum and maximum values
+  while preserving input `NAN`s.
+- [Fixed a panic in floating point `from_str_radix` on invalid signs][126].
+- Miscellaneous documentation updates.
+
+**Contributors**: @cuviper, @dingelish, @HeroicKatora, @jturner314, @ocstl,
+@Shnatsel, @termoshtt, @waywardmonkeys, @yoanlcq
+
+[99]: https://github.com/rust-num/num-traits/pull/99
+[122]: https://github.com/rust-num/num-traits/pull/122
+[126]: https://github.com/rust-num/num-traits/pull/126
+
+# Release 0.2.8 (2019-05-21)
+
+- [Fixed feature detection on `no_std` targets][116].
 
-- **breaking change**: There is now a `std` feature, enabled by default, along
+**Contributors**: @cuviper
+
+[116]: https://github.com/rust-num/num-traits/pull/116
+
+# Release 0.2.7 (2019-05-20)
+
+- [Documented when `CheckedShl` and `CheckedShr` return `None`][90].
+- [The new `Zero::set_zero` and `One::set_one`][104] will set values to their
+  identities in place, possibly optimized better than direct assignment.
+- [Documented general features and intentions of `PrimInt`][108].
+
+**Contributors**: @cuviper, @dvdhrm, @ignatenkobrain, @lcnr, @samueltardieu
+
+[90]: https://github.com/rust-num/num-traits/pull/90
+[104]: https://github.com/rust-num/num-traits/pull/104
+[108]: https://github.com/rust-num/num-traits/pull/108
+
+# Release 0.2.6 (2018-09-13)
+
+- [Documented that `pow(0, 0)` returns `1`][79].  Mathematically, this is not
+  strictly defined, but the current behavior is a pragmatic choice that has
+  precedent in Rust `core` for the primitives and in many other languages.
+- [The new `WrappingShl` and `WrappingShr` traits][81] will wrap the shift count
+  if it exceeds the bit size of the type.
+
+**Contributors**: @cuviper, @edmccard, @meltinglava
+
+[79]: https://github.com/rust-num/num-traits/pull/79
+[81]: https://github.com/rust-num/num-traits/pull/81
+
+# Release 0.2.5 (2018-06-20)
+
+- [Documentation for `mul_add` now clarifies that it's not always faster.][70]
+- [The default methods in `FromPrimitive` and `ToPrimitive` are more robust.][73]
+
+**Contributors**: @cuviper, @frewsxcv
+
+[70]: https://github.com/rust-num/num-traits/pull/70
+[73]: https://github.com/rust-num/num-traits/pull/73
+
+# Release 0.2.4 (2018-05-11)
+
+- [Support for 128-bit integers is now automatically detected and enabled.][69]
+  Setting the `i128` crate feature now causes the build script to panic if such
+  support is not detected.
+
+**Contributors**: @cuviper
+
+[69]: https://github.com/rust-num/num-traits/pull/69
+
+# Release 0.2.3 (2018-05-10)
+
+- [The new `CheckedNeg` and `CheckedRem` traits][63] perform checked `Neg` and
+  `Rem`, returning `Some(output)` or `None` on overflow.
+- [The `no_std` implementation of `FloatCore::to_degrees` for `f32`][61] now
+  uses a constant for greater accuracy, mirroring [rust#47919].  (With `std` it
+  just calls the inherent `f32::to_degrees` in the standard library.)
+- [The new `MulAdd` and `MulAddAssign` traits][59] perform a fused multiply-
+  add.  For integer types this is just a convenience, but for floating point
+  types this produces a more accurate result than the separate operations.
+- [All applicable traits are now implemented for 128-bit integers][60] starting
+  with Rust 1.26, enabled by the new `i128` crate feature.  The `FromPrimitive`
+  and `ToPrimitive` traits now also have corresponding 128-bit methods, which
+  default to converting via 64-bit integers for compatibility.
+
+**Contributors**: @cuviper, @LEXUGE, @regexident, @vks
+
+[59]: https://github.com/rust-num/num-traits/pull/59
+[60]: https://github.com/rust-num/num-traits/pull/60
+[61]: https://github.com/rust-num/num-traits/pull/61
+[63]: https://github.com/rust-num/num-traits/pull/63
+[rust#47919]: https://github.com/rust-lang/rust/pull/47919
+
+# Release 0.2.2 (2018-03-18)
+
+- [Casting from floating point to integers now returns `None` on overflow][52],
+  avoiding [rustc's undefined behavior][rust-10184]. This applies to the `cast`
+  function and the traits `NumCast`, `FromPrimitive`, and `ToPrimitive`.
+
+**Contributors**: @apopiak, @cuviper, @dbarella
+
+[52]: https://github.com/rust-num/num-traits/pull/52
+[rust-10184]: https://github.com/rust-lang/rust/issues/10184
+
+
+# Release 0.2.1 (2018-03-01)
+
+- [The new `FloatCore` trait][32] offers a subset of `Float` for `#![no_std]` use.
+  [This includes everything][41] except the transcendental functions and FMA.
+- [The new `Inv` trait][37] returns the multiplicative inverse, or reciprocal.
+- [The new `Pow` trait][37] performs exponentiation, much like the existing `pow`
+  function, but with generic exponent types.
+- [The new `One::is_one` method][39] tests if a value equals 1.  Implementers
+  should override this method if there's a more efficient way to check for 1,
+  rather than comparing with a temporary `one()`.
+
+**Contributors**: @clarcharr, @cuviper, @vks
+
+[32]: https://github.com/rust-num/num-traits/pull/32
+[37]: https://github.com/rust-num/num-traits/pull/37
+[39]: https://github.com/rust-num/num-traits/pull/39
+[41]: https://github.com/rust-num/num-traits/pull/41
+
+
+# Release 0.2.0 (2018-02-06)
+
+- **breaking change**: [There is now a `std` feature][30], enabled by default, along
   with the implication that building *without* this feature makes this a
-  `#[no_std]` crate.
+  `#![no_std]` crate.
   - The `Float` and `Real` traits are only available when `std` is enabled.
   - Otherwise, the API is unchanged, and num-traits 0.1.43 now re-exports its
     items from num-traits 0.2 for compatibility (the [semver-trick]).
 
 **Contributors**: @cuviper, @termoshtt, @vks
 
 [semver-trick]: https://github.com/dtolnay/semver-trick
+[30]: https://github.com/rust-num/num-traits/pull/30
 
-# Release 0.1.43
+
+# Release 0.1.43 (2018-02-06)
 
-- All items are now re-exported from num-traits 0.2 for compatibility.
+- All items are now [re-exported from num-traits 0.2][31] for compatibility.
 
-# Release 0.1.42
+[31]: https://github.com/rust-num/num-traits/pull/31
+
+
+# Release 0.1.42 (2018-01-22)
 
 - [num-traits now has its own source repository][num-356] at [rust-num/num-traits][home].
 - [`ParseFloatError` now implements `Display`][22].
 - [The new `AsPrimitive` trait][17] implements generic casting with the `as` operator.
 - [The new `CheckedShl` and `CheckedShr` traits][21] implement generic
   support for the `checked_shl` and `checked_shr` methods on primitive integers.
 - [The new `Real` trait][23] offers a subset of `Float` functionality that may be applicable to more
   types, with a blanket implementation for all existing `T: Float` types.
diff --git a/third_party/rust/num-traits/bors.toml b/third_party/rust/num-traits/bors.toml
deleted file mode 100644
--- a/third_party/rust/num-traits/bors.toml
+++ /dev/null
@@ -1,3 +0,0 @@
-status = [
-  "continuous-integration/travis-ci/push",
-]
diff --git a/third_party/rust/num-traits/build.rs b/third_party/rust/num-traits/build.rs
new file mode 100644
--- /dev/null
+++ b/third_party/rust/num-traits/build.rs
@@ -0,0 +1,29 @@
+extern crate autocfg;
+
+use std::env;
+
+fn main() {
+    let ac = autocfg::new();
+
+    // If the "i128" feature is explicity requested, don't bother probing for it.
+    // It will still cause a build error if that was set improperly.
+    if env::var_os("CARGO_FEATURE_I128").is_some() || ac.probe_type("i128") {
+        autocfg::emit("has_i128");
+    }
+
+    ac.emit_expression_cfg(
+        "unsafe { 1f64.to_int_unchecked::<i32>() }",
+        "has_to_int_unchecked",
+    );
+
+    ac.emit_expression_cfg("1u32.reverse_bits()", "has_reverse_bits");
+    ac.emit_expression_cfg("1u32.trailing_ones()", "has_leading_trailing_ones");
+    ac.emit_expression_cfg("{ let mut x = 1; x += &2; }", "has_int_assignop_ref");
+    ac.emit_expression_cfg("1u32.div_euclid(1u32)", "has_div_euclid");
+
+    if env::var_os("CARGO_FEATURE_STD").is_some() {
+        ac.emit_expression_cfg("1f64.copysign(-1f64)", "has_copysign");
+    }
+
+    autocfg::rerun_path("build.rs");
+}
diff --git a/third_party/rust/num-traits/ci/rustup.sh b/third_party/rust/num-traits/ci/rustup.sh
deleted file mode 100644
--- a/third_party/rust/num-traits/ci/rustup.sh
+++ /dev/null
@@ -1,12 +0,0 @@
-#!/bin/sh
-# Use rustup to locally run the same suite of tests as .travis.yml.
-# (You should first install/update 1.8.0, stable, beta, and nightly.)
-
-set -ex
-
-export TRAVIS_RUST_VERSION
-for TRAVIS_RUST_VERSION in 1.8.0 stable beta nightly; do
-    run="rustup run $TRAVIS_RUST_VERSION"
-    $run cargo build --verbose
-    $run $PWD/ci/test_full.sh
-done
diff --git a/third_party/rust/num-traits/ci/test_full.sh b/third_party/rust/num-traits/ci/test_full.sh
deleted file mode 100644
--- a/third_party/rust/num-traits/ci/test_full.sh
+++ /dev/null
@@ -1,13 +0,0 @@
-#!/bin/bash
-
-set -ex
-
-echo Testing num-traits on rustc ${TRAVIS_RUST_VERSION}
-
-# num-traits should build and test everywhere.
-cargo build --verbose
-cargo test --verbose
-
-# test `no_std`
-cargo build --verbose --no-default-features
-cargo test --verbose --no-default-features
diff --git a/third_party/rust/num-traits/src/bounds.rs b/third_party/rust/num-traits/src/bounds.rs
--- a/third_party/rust/num-traits/src/bounds.rs
+++ b/third_party/rust/num-traits/src/bounds.rs
@@ -1,66 +1,106 @@
-use core::{usize, u8, u16, u32, u64};
-use core::{isize, i8, i16, i32, i64};
+use core::num::Wrapping;
 use core::{f32, f64};
-use core::num::Wrapping;
+#[cfg(has_i128)]
+use core::{i128, u128};
+use core::{i16, i32, i64, i8, isize};
+use core::{u16, u32, u64, u8, usize};
 
 /// Numbers which have upper and lower bounds
 pub trait Bounded {
     // FIXME (#5527): These should be associated constants
-    /// returns the smallest finite number this type can represent
+    /// Returns the smallest finite number this type can represent
+    fn min_value() -> Self;
+    /// Returns the largest finite number this type can represent
+    fn max_value() -> Self;
+}
+
+/// Numbers which have lower bounds
+pub trait LowerBounded {
+    /// Returns the smallest finite number this type can represent
     fn min_value() -> Self;
-    /// returns the largest finite number this type can represent
+}
+
+// FIXME: With a major version bump, this should be a supertrait instead
+impl<T: Bounded> LowerBounded for T {
+    fn min_value() -> T {
+        Bounded::min_value()
+    }
+}
+
+/// Numbers which have upper bounds
+pub trait UpperBounded {
+    /// Returns the largest finite number this type can represent
     fn max_value() -> Self;
 }
 
+// FIXME: With a major version bump, this should be a supertrait instead
+impl<T: Bounded> UpperBounded for T {
+    fn max_value() -> T {
+        Bounded::max_value()
+    }
+}
+
 macro_rules! bounded_impl {
     ($t:ty, $min:expr, $max:expr) => {
         impl Bounded for $t {
             #[inline]
-            fn min_value() -> $t { $min }
+            fn min_value() -> $t {
+                $min
+            }
 
             #[inline]
-            fn max_value() -> $t { $max }
+            fn max_value() -> $t {
+                $max
+            }
         }
-    }
+    };
 }
 
 bounded_impl!(usize, usize::MIN, usize::MAX);
-bounded_impl!(u8,    u8::MIN,    u8::MAX);
-bounded_impl!(u16,   u16::MIN,   u16::MAX);
-bounded_impl!(u32,   u32::MIN,   u32::MAX);
-bounded_impl!(u64,   u64::MIN,   u64::MAX);
+bounded_impl!(u8, u8::MIN, u8::MAX);
+bounded_impl!(u16, u16::MIN, u16::MAX);
+bounded_impl!(u32, u32::MIN, u32::MAX);
+bounded_impl!(u64, u64::MIN, u64::MAX);
+#[cfg(has_i128)]
+bounded_impl!(u128, u128::MIN, u128::MAX);
 
 bounded_impl!(isize, isize::MIN, isize::MAX);
-bounded_impl!(i8,    i8::MIN,    i8::MAX);
-bounded_impl!(i16,   i16::MIN,   i16::MAX);
-bounded_impl!(i32,   i32::MIN,   i32::MAX);
-bounded_impl!(i64,   i64::MIN,   i64::MAX);
+bounded_impl!(i8, i8::MIN, i8::MAX);
+bounded_impl!(i16, i16::MIN, i16::MAX);
+bounded_impl!(i32, i32::MIN, i32::MAX);
+bounded_impl!(i64, i64::MIN, i64::MAX);
+#[cfg(has_i128)]
+bounded_impl!(i128, i128::MIN, i128::MAX);
 
 impl<T: Bounded> Bounded for Wrapping<T> {
-    fn min_value() -> Self { Wrapping(T::min_value()) }
-    fn max_value() -> Self { Wrapping(T::max_value()) }
+    fn min_value() -> Self {
+        Wrapping(T::min_value())
+    }
+    fn max_value() -> Self {
+        Wrapping(T::max_value())
+    }
 }
 
 bounded_impl!(f32, f32::MIN, f32::MAX);
 
 macro_rules! for_each_tuple_ {
     ( $m:ident !! ) => (
         $m! { }
     );
     ( $m:ident !! $h:ident, $($t:ident,)* ) => (
         $m! { $h $($t)* }
         for_each_tuple_! { $m !! $($t,)* }
     );
 }
 macro_rules! for_each_tuple {
-    ( $m:ident ) => (
+    ($m:ident) => {
         for_each_tuple_! { $m !! A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, }
-    );
+    };
 }
 
 macro_rules! bounded_tuple {
     ( $($name:ident)* ) => (
         impl<$($name: Bounded,)*> Bounded for ($($name,)*) {
             #[inline]
             fn min_value() -> Self {
                 ($($name::min_value(),)*)
@@ -71,29 +111,43 @@ macro_rules! bounded_tuple {
             }
         }
     );
 }
 
 for_each_tuple!(bounded_tuple);
 bounded_impl!(f64, f64::MIN, f64::MAX);
 
-
 #[test]
 fn wrapping_bounded() {
     macro_rules! test_wrapping_bounded {
         ($($t:ty)+) => {
             $(
-                assert_eq!(Wrapping::<$t>::min_value().0, <$t>::min_value());
-                assert_eq!(Wrapping::<$t>::max_value().0, <$t>::max_value());
+                assert_eq!(<Wrapping<$t> as Bounded>::min_value().0, <$t>::min_value());
+                assert_eq!(<Wrapping<$t> as Bounded>::max_value().0, <$t>::max_value());
             )+
         };
     }
 
     test_wrapping_bounded!(usize u8 u16 u32 u64 isize i8 i16 i32 i64);
 }
 
+#[cfg(has_i128)]
+#[test]
+fn wrapping_bounded_i128() {
+    macro_rules! test_wrapping_bounded {
+        ($($t:ty)+) => {
+            $(
+                assert_eq!(<Wrapping<$t> as Bounded>::min_value().0, <$t>::min_value());
+                assert_eq!(<Wrapping<$t> as Bounded>::max_value().0, <$t>::max_value());
+            )+
+        };
+    }
+
+    test_wrapping_bounded!(u128 i128);
+}
+
 #[test]
 fn wrapping_is_bounded() {
     fn require_bounded<T: Bounded>(_: &T) {}
     require_bounded(&Wrapping(42_u32));
     require_bounded(&Wrapping(-42));
 }
diff --git a/third_party/rust/num-traits/src/cast.rs b/third_party/rust/num-traits/src/cast.rs
--- a/third_party/rust/num-traits/src/cast.rs
+++ b/third_party/rust/num-traits/src/cast.rs
@@ -1,409 +1,681 @@
-use core::f64;
 use core::mem::size_of;
 use core::num::Wrapping;
-
-use identities::Zero;
-use bounds::Bounded;
+use core::{f32, f64};
+#[cfg(has_i128)]
+use core::{i128, u128};
+use core::{i16, i32, i64, i8, isize};
+use core::{u16, u32, u64, u8, usize};
 
 /// A generic trait for converting a value to a number.
+///
+/// A value can be represented by the target type when it lies within
+/// the range of scalars supported by the target type.
+/// For example, a negative integer cannot be represented by an unsigned
+/// integer type, and an `i64` with a very high magnitude might not be
+/// convertible to an `i32`.
+/// On the other hand, conversions with possible precision loss or truncation
+/// are admitted, like an `f32` with a decimal part to an integer type, or
+/// even a large `f64` saturating to `f32` infinity.
 pub trait ToPrimitive {
-    /// Converts the value of `self` to an `isize`.
+    /// Converts the value of `self` to an `isize`. If the value cannot be
+    /// represented by an `isize`, then `None` is returned.
     #[inline]
     fn to_isize(&self) -> Option<isize> {
-        self.to_i64().and_then(|x| x.to_isize())
+        self.to_i64().as_ref().and_then(ToPrimitive::to_isize)
     }
 
-    /// Converts the value of `self` to an `i8`.
+    /// Converts the value of `self` to an `i8`. If the value cannot be
+    /// represented by an `i8`, then `None` is returned.
     #[inline]
     fn to_i8(&self) -> Option<i8> {
-        self.to_i64().and_then(|x| x.to_i8())
+        self.to_i64().as_ref().and_then(ToPrimitive::to_i8)
     }
 
-    /// Converts the value of `self` to an `i16`.
+    /// Converts the value of `self` to an `i16`. If the value cannot be
+    /// represented by an `i16`, then `None` is returned.
     #[inline]
     fn to_i16(&self) -> Option<i16> {
-        self.to_i64().and_then(|x| x.to_i16())
+        self.to_i64().as_ref().and_then(ToPrimitive::to_i16)
     }
 
-    /// Converts the value of `self` to an `i32`.
+    /// Converts the value of `self` to an `i32`. If the value cannot be
+    /// represented by an `i32`, then `None` is returned.
     #[inline]
     fn to_i32(&self) -> Option<i32> {
-        self.to_i64().and_then(|x| x.to_i32())
+        self.to_i64().as_ref().and_then(ToPrimitive::to_i32)
     }
 
-    /// Converts the value of `self` to an `i64`.
+    /// Converts the value of `self` to an `i64`. If the value cannot be
+    /// represented by an `i64`, then `None` is returned.
     fn to_i64(&self) -> Option<i64>;
 
-    /// Converts the value of `self` to a `usize`.
+    /// Converts the value of `self` to an `i128`. If the value cannot be
+    /// represented by an `i128` (`i64` under the default implementation), then
+    /// `None` is returned.
+    ///
+    /// This method is only available with feature `i128` enabled on Rust >= 1.26.
+    ///
+    /// The default implementation converts through `to_i64()`. Types implementing
+    /// this trait should override this method if they can represent a greater range.
     #[inline]
-    fn to_usize(&self) -> Option<usize> {
-        self.to_u64().and_then(|x| x.to_usize())
+    #[cfg(has_i128)]
+    fn to_i128(&self) -> Option<i128> {
+        self.to_i64().map(From::from)
     }
 
-    /// Converts the value of `self` to an `u8`.
+    /// Converts the value of `self` to a `usize`. If the value cannot be
+    /// represented by a `usize`, then `None` is returned.
+    #[inline]
+    fn to_usize(&self) -> Option<usize> {
+        self.to_u64().as_ref().and_then(ToPrimitive::to_usize)
+    }
+
+    /// Converts the value of `self` to a `u8`. If the value cannot be
+    /// represented by a `u8`, then `None` is returned.
     #[inline]
     fn to_u8(&self) -> Option<u8> {
-        self.to_u64().and_then(|x| x.to_u8())
+        self.to_u64().as_ref().and_then(ToPrimitive::to_u8)
     }
 
-    /// Converts the value of `self` to an `u16`.
+    /// Converts the value of `self` to a `u16`. If the value cannot be
+    /// represented by a `u16`, then `None` is returned.
     #[inline]
     fn to_u16(&self) -> Option<u16> {
-        self.to_u64().and_then(|x| x.to_u16())
+        self.to_u64().as_ref().and_then(ToPrimitive::to_u16)
     }
 
-    /// Converts the value of `self` to an `u32`.
+    /// Converts the value of `self` to a `u32`. If the value cannot be
+    /// represented by a `u32`, then `None` is returned.
     #[inline]
     fn to_u32(&self) -> Option<u32> {
-        self.to_u64().and_then(|x| x.to_u32())
+        self.to_u64().as_ref().and_then(ToPrimitive::to_u32)
     }
 
-    /// Converts the value of `self` to an `u64`.
-    #[inline]
+    /// Converts the value of `self` to a `u64`. If the value cannot be
+    /// represented by a `u64`, then `None` is returned.
     fn to_u64(&self) -> Option<u64>;
 
-    /// Converts the value of `self` to an `f32`.
+    /// Converts the value of `self` to a `u128`. If the value cannot be
+    /// represented by a `u128` (`u64` under the default implementation), then
+    /// `None` is returned.
+    ///
+    /// This method is only available with feature `i128` enabled on Rust >= 1.26.
+    ///
+    /// The default implementation converts through `to_u64()`. Types implementing
+    /// this trait should override this method if they can represent a greater range.
+    #[inline]
+    #[cfg(has_i128)]
+    fn to_u128(&self) -> Option<u128> {
+        self.to_u64().map(From::from)
+    }
+
+    /// Converts the value of `self` to an `f32`. Overflows may map to positive
+    /// or negative inifinity, otherwise `None` is returned if the value cannot
+    /// be represented by an `f32`.
     #[inline]
     fn to_f32(&self) -> Option<f32> {
-        self.to_f64().and_then(|x| x.to_f32())
+        self.to_f64().as_ref().and_then(ToPrimitive::to_f32)
     }
 
-    /// Converts the value of `self` to an `f64`.
+    /// Converts the value of `self` to an `f64`. Overflows may map to positive
+    /// or negative inifinity, otherwise `None` is returned if the value cannot
+    /// be represented by an `f64`.
+    ///
+    /// The default implementation tries to convert through `to_i64()`, and
+    /// failing that through `to_u64()`. Types implementing this trait should
+    /// override this method if they can represent a greater range.
     #[inline]
     fn to_f64(&self) -> Option<f64> {
-        self.to_i64().and_then(|x| x.to_f64())
+        match self.to_i64() {
+            Some(i) => i.to_f64(),
+            None => self.to_u64().as_ref().and_then(ToPrimitive::to_f64),
+        }
     }
 }
 
 macro_rules! impl_to_primitive_int_to_int {
-    ($SrcT:ty, $DstT:ty, $slf:expr) => (
-        {
-            if size_of::<$SrcT>() <= size_of::<$DstT>() {
-                Some($slf as $DstT)
+    ($SrcT:ident : $( $(#[$cfg:meta])* fn $method:ident -> $DstT:ident ; )*) => {$(
+        #[inline]
+        $(#[$cfg])*
+        fn $method(&self) -> Option<$DstT> {
+            let min = $DstT::MIN as $SrcT;
+            let max = $DstT::MAX as $SrcT;
+            if size_of::<$SrcT>() <= size_of::<$DstT>() || (min <= *self && *self <= max) {
+                Some(*self as $DstT)
             } else {
-                let n = $slf as i64;
-                let min_value: $DstT = Bounded::min_value();
-                let max_value: $DstT = Bounded::max_value();
-                if min_value as i64 <= n && n <= max_value as i64 {
-                    Some($slf as $DstT)
-                } else {
-                    None
-                }
+                None
             }
         }
-    )
+    )*}
 }
 
 macro_rules! impl_to_primitive_int_to_uint {
-    ($SrcT:ty, $DstT:ty, $slf:expr) => (
-        {
-            let zero: $SrcT = Zero::zero();
-            let max_value: $DstT = Bounded::max_value();
-            if zero <= $slf && $slf as u64 <= max_value as u64 {
-                Some($slf as $DstT)
+    ($SrcT:ident : $( $(#[$cfg:meta])* fn $method:ident -> $DstT:ident ; )*) => {$(
+        #[inline]
+        $(#[$cfg])*
+        fn $method(&self) -> Option<$DstT> {
+            let max = $DstT::MAX as $SrcT;
+            if 0 <= *self && (size_of::<$SrcT>() <= size_of::<$DstT>() || *self <= max) {
+                Some(*self as $DstT)
             } else {
                 None
             }
         }
-    )
+    )*}
 }
 
 macro_rules! impl_to_primitive_int {
-    ($T:ty) => (
+    ($T:ident) => {
         impl ToPrimitive for $T {
-            #[inline]
-            fn to_isize(&self) -> Option<isize> { impl_to_primitive_int_to_int!($T, isize, *self) }
-            #[inline]
-            fn to_i8(&self) -> Option<i8> { impl_to_primitive_int_to_int!($T, i8, *self) }
-            #[inline]
-            fn to_i16(&self) -> Option<i16> { impl_to_primitive_int_to_int!($T, i16, *self) }
-            #[inline]
-            fn to_i32(&self) -> Option<i32> { impl_to_primitive_int_to_int!($T, i32, *self) }
-            #[inline]
-            fn to_i64(&self) -> Option<i64> { impl_to_primitive_int_to_int!($T, i64, *self) }
+            impl_to_primitive_int_to_int! { $T:
+                fn to_isize -> isize;
+                fn to_i8 -> i8;
+                fn to_i16 -> i16;
+                fn to_i32 -> i32;
+                fn to_i64 -> i64;
+                #[cfg(has_i128)]
+                fn to_i128 -> i128;
+            }
+
+            impl_to_primitive_int_to_uint! { $T:
+                fn to_usize -> usize;
+                fn to_u8 -> u8;
+                fn to_u16 -> u16;
+                fn to_u32 -> u32;
+                fn to_u64 -> u64;
+                #[cfg(has_i128)]
+                fn to_u128 -> u128;
+            }
 
             #[inline]
-            fn to_usize(&self) -> Option<usize> { impl_to_primitive_int_to_uint!($T, usize, *self) }
-            #[inline]
-            fn to_u8(&self) -> Option<u8> { impl_to_primitive_int_to_uint!($T, u8, *self) }
-            #[inline]
-            fn to_u16(&self) -> Option<u16> { impl_to_primitive_int_to_uint!($T, u16, *self) }
-            #[inline]
-            fn to_u32(&self) -> Option<u32> { impl_to_primitive_int_to_uint!($T, u32, *self) }
+            fn to_f32(&self) -> Option<f32> {
+                Some(*self as f32)
+            }
             #[inline]
-            fn to_u64(&self) -> Option<u64> { impl_to_primitive_int_to_uint!($T, u64, *self) }
-
-            #[inline]
-            fn to_f32(&self) -> Option<f32> { Some(*self as f32) }
-            #[inline]
-            fn to_f64(&self) -> Option<f64> { Some(*self as f64) }
+            fn to_f64(&self) -> Option<f64> {
+                Some(*self as f64)
+            }
         }
-    )
+    };
 }
 
 impl_to_primitive_int!(isize);
 impl_to_primitive_int!(i8);
 impl_to_primitive_int!(i16);
 impl_to_primitive_int!(i32);
 impl_to_primitive_int!(i64);
+#[cfg(has_i128)]
+impl_to_primitive_int!(i128);
 
 macro_rules! impl_to_primitive_uint_to_int {
-    ($DstT:ty, $slf:expr) => (
-        {
-            let max_value: $DstT = Bounded::max_value();
-            if $slf as u64 <= max_value as u64 {
-                Some($slf as $DstT)
+    ($SrcT:ident : $( $(#[$cfg:meta])* fn $method:ident -> $DstT:ident ; )*) => {$(
+        #[inline]
+        $(#[$cfg])*
+        fn $method(&self) -> Option<$DstT> {
+            let max = $DstT::MAX as $SrcT;
+            if size_of::<$SrcT>() < size_of::<$DstT>() || *self <= max {
+                Some(*self as $DstT)
+            } else {
+                None
+            }
+        }
+    )*}
+}
+
+macro_rules! impl_to_primitive_uint_to_uint {
+    ($SrcT:ident : $( $(#[$cfg:meta])* fn $method:ident -> $DstT:ident ; )*) => {$(
+        #[inline]
+        $(#[$cfg])*
+        fn $method(&self) -> Option<$DstT> {
+            let max = $DstT::MAX as $SrcT;
+            if size_of::<$SrcT>() <= size_of::<$DstT>() || *self <= max {
+                Some(*self as $DstT)
             } else {
                 None
             }
         }
-    )
-}
-
-macro_rules! impl_to_primitive_uint_to_uint {
-    ($SrcT:ty, $DstT:ty, $slf:expr) => (
-        {
-            if size_of::<$SrcT>() <= size_of::<$DstT>() {
-                Some($slf as $DstT)
-            } else {
-                let zero: $SrcT = Zero::zero();
-                let max_value: $DstT = Bounded::max_value();
-                if zero <= $slf && $slf as u64 <= max_value as u64 {
-                    Some($slf as $DstT)
-                } else {
-                    None
-                }
-            }
-        }
-    )
+    )*}
 }
 
 macro_rules! impl_to_primitive_uint {
-    ($T:ty) => (
+    ($T:ident) => {
         impl ToPrimitive for $T {
-            #[inline]
-            fn to_isize(&self) -> Option<isize> { impl_to_primitive_uint_to_int!(isize, *self) }
-            #[inline]
-            fn to_i8(&self) -> Option<i8> { impl_to_primitive_uint_to_int!(i8, *self) }
-            #[inline]
-            fn to_i16(&self) -> Option<i16> { impl_to_primitive_uint_to_int!(i16, *self) }
-            #[inline]
-            fn to_i32(&self) -> Option<i32> { impl_to_primitive_uint_to_int!(i32, *self) }
-            #[inline]
-            fn to_i64(&self) -> Option<i64> { impl_to_primitive_uint_to_int!(i64, *self) }
+            impl_to_primitive_uint_to_int! { $T:
+                fn to_isize -> isize;
+                fn to_i8 -> i8;
+                fn to_i16 -> i16;
+                fn to_i32 -> i32;
+                fn to_i64 -> i64;
+                #[cfg(has_i128)]
+                fn to_i128 -> i128;
+            }
+
+            impl_to_primitive_uint_to_uint! { $T:
+                fn to_usize -> usize;
+                fn to_u8 -> u8;
+                fn to_u16 -> u16;
+                fn to_u32 -> u32;
+                fn to_u64 -> u64;
+                #[cfg(has_i128)]
+                fn to_u128 -> u128;
+            }
 
             #[inline]
-            fn to_usize(&self) -> Option<usize> {
-                impl_to_primitive_uint_to_uint!($T, usize, *self)
+            fn to_f32(&self) -> Option<f32> {
+                Some(*self as f32)
             }
             #[inline]
-            fn to_u8(&self) -> Option<u8> { impl_to_primitive_uint_to_uint!($T, u8, *self) }
-            #[inline]
-            fn to_u16(&self) -> Option<u16> { impl_to_primitive_uint_to_uint!($T, u16, *self) }
-            #[inline]
-            fn to_u32(&self) -> Option<u32> { impl_to_primitive_uint_to_uint!($T, u32, *self) }
-            #[inline]
-            fn to_u64(&self) -> Option<u64> { impl_to_primitive_uint_to_uint!($T, u64, *self) }
-
-            #[inline]
-            fn to_f32(&self) -> Option<f32> { Some(*self as f32) }
-            #[inline]
-            fn to_f64(&self) -> Option<f64> { Some(*self as f64) }
+            fn to_f64(&self) -> Option<f64> {
+                Some(*self as f64)
+            }
         }
-    )
+    };
 }
 
 impl_to_primitive_uint!(usize);
 impl_to_primitive_uint!(u8);
 impl_to_primitive_uint!(u16);
 impl_to_primitive_uint!(u32);
 impl_to_primitive_uint!(u64);
+#[cfg(has_i128)]
+impl_to_primitive_uint!(u128);
 
 macro_rules! impl_to_primitive_float_to_float {
-    ($SrcT:ident, $DstT:ident, $slf:expr) => (
-        if size_of::<$SrcT>() <= size_of::<$DstT>() {
-            Some($slf as $DstT)
-        } else {
-            // Make sure the value is in range for the cast.
-            // NaN and +-inf are cast as they are.
-            let n = $slf as f64;
-            let max_value: $DstT = ::core::$DstT::MAX;
-            if n != n || n == f64::INFINITY || n == f64::NEG_INFINITY
-                || (-max_value as f64 <= n && n <= max_value as f64)
-            {
-                Some($slf as $DstT)
+    ($SrcT:ident : $( fn $method:ident -> $DstT:ident ; )*) => {$(
+        #[inline]
+        fn $method(&self) -> Option<$DstT> {
+            // We can safely cast all values, whether NaN, +-inf, or finite.
+            // Finite values that are reducing size may saturate to +-inf.
+            Some(*self as $DstT)
+        }
+    )*}
+}
+
+#[cfg(has_to_int_unchecked)]
+macro_rules! float_to_int_unchecked {
+    // SAFETY: Must not be NaN or infinite; must be representable as the integer after truncating.
+    // We already checked that the float is in the exclusive range `(MIN-1, MAX+1)`.
+    ($float:expr => $int:ty) => {
+        unsafe { $float.to_int_unchecked::<$int>() }
+    };
+}
+
+#[cfg(not(has_to_int_unchecked))]
+macro_rules! float_to_int_unchecked {
+    ($float:expr => $int:ty) => {
+        $float as $int
+    };
+}
+
+macro_rules! impl_to_primitive_float_to_signed_int {
+    ($f:ident : $( $(#[$cfg:meta])* fn $method:ident -> $i:ident ; )*) => {$(
+        #[inline]
+        $(#[$cfg])*
+        fn $method(&self) -> Option<$i> {
+            // Float as int truncates toward zero, so we want to allow values
+            // in the exclusive range `(MIN-1, MAX+1)`.
+            if size_of::<$f>() > size_of::<$i>() {
+                // With a larger size, we can represent the range exactly.
+                const MIN_M1: $f = $i::MIN as $f - 1.0;
+                const MAX_P1: $f = $i::MAX as $f + 1.0;
+                if *self > MIN_M1 && *self < MAX_P1 {
+                    return Some(float_to_int_unchecked!(*self => $i));
+                }
             } else {
-                None
+                // We can't represent `MIN-1` exactly, but there's no fractional part
+                // at this magnitude, so we can just use a `MIN` inclusive boundary.
+                const MIN: $f = $i::MIN as $f;
+                // We can't represent `MAX` exactly, but it will round up to exactly
+                // `MAX+1` (a power of two) when we cast it.
+                const MAX_P1: $f = $i::MAX as $f;
+                if *self >= MIN && *self < MAX_P1 {
+                    return Some(float_to_int_unchecked!(*self => $i));
+                }
             }
+            None
         }
-    )
+    )*}
+}
+
+macro_rules! impl_to_primitive_float_to_unsigned_int {
+    ($f:ident : $( $(#[$cfg:meta])* fn $method:ident -> $u:ident ; )*) => {$(
+        #[inline]
+        $(#[$cfg])*
+        fn $method(&self) -> Option<$u> {
+            // Float as int truncates toward zero, so we want to allow values
+            // in the exclusive range `(-1, MAX+1)`.
+            if size_of::<$f>() > size_of::<$u>() {
+                // With a larger size, we can represent the range exactly.
+                const MAX_P1: $f = $u::MAX as $f + 1.0;
+                if *self > -1.0 && *self < MAX_P1 {
+                    return Some(float_to_int_unchecked!(*self => $u));
+                }
+            } else {
+                // We can't represent `MAX` exactly, but it will round up to exactly
+                // `MAX+1` (a power of two) when we cast it.
+                // (`u128::MAX as f32` is infinity, but this is still ok.)
+                const MAX_P1: $f = $u::MAX as $f;
+                if *self > -1.0 && *self < MAX_P1 {
+                    return Some(float_to_int_unchecked!(*self => $u));
+                }
+            }
+            None
+        }
+    )*}
 }
 
 macro_rules! impl_to_primitive_float {
-    ($T:ident) => (
+    ($T:ident) => {
         impl ToPrimitive for $T {
-            #[inline]
-            fn to_isize(&self) -> Option<isize> { Some(*self as isize) }
-            #[inline]
-            fn to_i8(&self) -> Option<i8> { Some(*self as i8) }
-            #[inline]
-            fn to_i16(&self) -> Option<i16> { Some(*self as i16) }
-            #[inline]
-            fn to_i32(&self) -> Option<i32> { Some(*self as i32) }
-            #[inline]
-            fn to_i64(&self) -> Option<i64> { Some(*self as i64) }
+            impl_to_primitive_float_to_signed_int! { $T:
+                fn to_isize -> isize;
+                fn to_i8 -> i8;
+                fn to_i16 -> i16;
+                fn to_i32 -> i32;
+                fn to_i64 -> i64;
+                #[cfg(has_i128)]
+                fn to_i128 -> i128;
+            }
 
-            #[inline]
-            fn to_usize(&self) -> Option<usize> { Some(*self as usize) }
-            #[inline]
-            fn to_u8(&self) -> Option<u8> { Some(*self as u8) }
-            #[inline]
-            fn to_u16(&self) -> Option<u16> { Some(*self as u16) }
-            #[inline]
-            fn to_u32(&self) -> Option<u32> { Some(*self as u32) }
-            #[inline]
-            fn to_u64(&self) -> Option<u64> { Some(*self as u64) }
+            impl_to_primitive_float_to_unsigned_int! { $T:
+                fn to_usize -> usize;
+                fn to_u8 -> u8;
+                fn to_u16 -> u16;
+                fn to_u32 -> u32;
+                fn to_u64 -> u64;
+                #[cfg(has_i128)]
+                fn to_u128 -> u128;
+            }
 
-            #[inline]
-            fn to_f32(&self) -> Option<f32> { impl_to_primitive_float_to_float!($T, f32, *self) }
-            #[inline]
-            fn to_f64(&self) -> Option<f64> { impl_to_primitive_float_to_float!($T, f64, *self) }
+            impl_to_primitive_float_to_float! { $T:
+                fn to_f32 -> f32;
+                fn to_f64 -> f64;
+            }
         }
-    )
+    };
 }
 
 impl_to_primitive_float!(f32);
 impl_to_primitive_float!(f64);
 
 /// A generic trait for converting a number to a value.
+///
+/// A value can be represented by the target type when it lies within
+/// the range of scalars supported by the target type.
+/// For example, a negative integer cannot be represented by an unsigned
+/// integer type, and an `i64` with a very high magnitude might not be
+/// convertible to an `i32`.
+/// On the other hand, conversions with possible precision loss or truncation
+/// are admitted, like an `f32` with a decimal part to an integer type, or
+/// even a large `f64` saturating to `f32` infinity.
 pub trait FromPrimitive: Sized {
-    /// Convert an `isize` to return an optional value of this type. If the
-    /// value cannot be represented by this value, the `None` is returned.
+    /// Converts an `isize` to return an optional value of this type. If the
+    /// value cannot be represented by this type, then `None` is returned.
     #[inline]
     fn from_isize(n: isize) -> Option<Self> {
-        FromPrimitive::from_i64(n as i64)
+        n.to_i64().and_then(FromPrimitive::from_i64)
     }
 
-    /// Convert an `i8` to return an optional value of this type. If the
-    /// type cannot be represented by this value, the `None` is returned.
+    /// Converts an `i8` to return an optional value of this type. If the
+    /// value cannot be represented by this type, then `None` is returned.
     #[inline]
     fn from_i8(n: i8) -> Option<Self> {
-        FromPrimitive::from_i64(n as i64)
+        FromPrimitive::from_i64(From::from(n))
     }
 
-    /// Convert an `i16` to return an optional value of this type. If the
-    /// type cannot be represented by this value, the `None` is returned.
+    /// Converts an `i16` to return an optional value of this type. If the
+    /// value cannot be represented by this type, then `None` is returned.
     #[inline]
     fn from_i16(n: i16) -> Option<Self> {
-        FromPrimitive::from_i64(n as i64)
+        FromPrimitive::from_i64(From::from(n))
+    }
+
+    /// Converts an `i32` to return an optional value of this type. If the
+    /// value cannot be represented by this type, then `None` is returned.
+    #[inline]
+    fn from_i32(n: i32) -> Option<Self> {
+        FromPrimitive::from_i64(From::from(n))
     }
 
-    /// Convert an `i32` to return an optional value of this type. If the
-    /// type cannot be represented by this value, the `None` is returned.
+    /// Converts an `i64` to return an optional value of this type. If the
+    /// value cannot be represented by this type, then `None` is returned.
+    fn from_i64(n: i64) -> Option<Self>;
+
+    /// Converts an `i128` to return an optional value of this type. If the
+    /// value cannot be represented by this type, then `None` is returned.
+    ///
+    /// This method is only available with feature `i128` enabled on Rust >= 1.26.
+    ///
+    /// The default implementation converts through `from_i64()`. Types implementing
+    /// this trait should override this method if they can represent a greater range.
     #[inline]
-    fn from_i32(n: i32) -> Option<Self> {
-        FromPrimitive::from_i64(n as i64)
+    #[cfg(has_i128)]
+    fn from_i128(n: i128) -> Option<Self> {
+        n.to_i64().and_then(FromPrimitive::from_i64)
     }
 
-    /// Convert an `i64` to return an optional value of this type. If the
-    /// type cannot be represented by this value, the `None` is returned.
-    fn from_i64(n: i64) -> Option<Self>;
-
-    /// Convert a `usize` to return an optional value of this type. If the
-    /// type cannot be represented by this value, the `None` is returned.
+    /// Converts a `usize` to return an optional value of this type. If the
+    /// value cannot be represented by this type, then `None` is returned.
     #[inline]
     fn from_usize(n: usize) -> Option<Self> {
-        FromPrimitive::from_u64(n as u64)
+        n.to_u64().and_then(FromPrimitive::from_u64)
     }
 
-    /// Convert an `u8` to return an optional value of this type. If the
-    /// type cannot be represented by this value, the `None` is returned.
+    /// Converts an `u8` to return an optional value of this type. If the
+    /// value cannot be represented by this type, then `None` is returned.
     #[inline]
     fn from_u8(n: u8) -> Option<Self> {
-        FromPrimitive::from_u64(n as u64)
+        FromPrimitive::from_u64(From::from(n))
     }
 
-    /// Convert an `u16` to return an optional value of this type. If the
-    /// type cannot be represented by this value, the `None` is returned.
+    /// Converts an `u16` to return an optional value of this type. If the
+    /// value cannot be represented by this type, then `None` is returned.
     #[inline]
     fn from_u16(n: u16) -> Option<Self> {
-        FromPrimitive::from_u64(n as u64)
+        FromPrimitive::from_u64(From::from(n))
+    }
+
+    /// Converts an `u32` to return an optional value of this type. If the
+    /// value cannot be represented by this type, then `None` is returned.
+    #[inline]
+    fn from_u32(n: u32) -> Option<Self> {
+        FromPrimitive::from_u64(From::from(n))
     }
 
-    /// Convert an `u32` to return an optional value of this type. If the
-    /// type cannot be represented by this value, the `None` is returned.
-    #[inline]
-    fn from_u32(n: u32) -> Option<Self> {
-        FromPrimitive::from_u64(n as u64)
-    }
-
-    /// Convert an `u64` to return an optional value of this type. If the
-    /// type cannot be represented by this value, the `None` is returned.
+    /// Converts an `u64` to return an optional value of this type. If the
+    /// value cannot be represented by this type, then `None` is returned.
     fn from_u64(n: u64) -> Option<Self>;
 
-    /// Convert a `f32` to return an optional value of this type. If the
-    /// type cannot be represented by this value, the `None` is returned.
+    /// Converts an `u128` to return an optional value of this type. If the
+    /// value cannot be represented by this type, then `None` is returned.
+    ///
+    /// This method is only available with feature `i128` enabled on Rust >= 1.26.
+    ///
+    /// The default implementation converts through `from_u64()`. Types implementing
+    /// this trait should override this method if they can represent a greater range.
+    #[inline]
+    #[cfg(has_i128)]
+    fn from_u128(n: u128) -> Option<Self> {
+        n.to_u64().and_then(FromPrimitive::from_u64)
+    }
+
+    /// Converts a `f32` to return an optional value of this type. If the
+    /// value cannot be represented by this type, then `None` is returned.
     #[inline]
     fn from_f32(n: f32) -> Option<Self> {
-        FromPrimitive::from_f64(n as f64)
+        FromPrimitive::from_f64(From::from(n))
     }
 
-    /// Convert a `f64` to return an optional value of this type. If the
-    /// type cannot be represented by this value, the `None` is returned.
+    /// Converts a `f64` to return an optional value of this type. If the
+    /// value cannot be represented by this type, then `None` is returned.
+    ///
+    /// The default implementation tries to convert through `from_i64()`, and
+    /// failing that through `from_u64()`. Types implementing this trait should
+    /// override this method if they can represent a greater range.
     #[inline]
     fn from_f64(n: f64) -> Option<Self> {
-        FromPrimitive::from_i64(n as i64)
+        match n.to_i64() {
+            Some(i) => FromPrimitive::from_i64(i),
+            None => n.to_u64().and_then(FromPrimitive::from_u64),
+        }
     }
 }
 
 macro_rules! impl_from_primitive {
-    ($T:ty, $to_ty:ident) => (
+    ($T:ty, $to_ty:ident) => {
         #[allow(deprecated)]
         impl FromPrimitive for $T {
-            #[inline] fn from_i8(n: i8) -> Option<$T> { n.$to_ty() }
-            #[inline] fn from_i16(n: i16) -> Option<$T> { n.$to_ty() }
-            #[inline] fn from_i32(n: i32) -> Option<$T> { n.$to_ty() }
-            #[inline] fn from_i64(n: i64) -> Option<$T> { n.$to_ty() }
+            #[inline]
+            fn from_isize(n: isize) -> Option<$T> {
+                n.$to_ty()
+            }
+            #[inline]
+            fn from_i8(n: i8) -> Option<$T> {
+                n.$to_ty()
+            }
+            #[inline]
+            fn from_i16(n: i16) -> Option<$T> {
+                n.$to_ty()
+            }
+            #[inline]
+            fn from_i32(n: i32) -> Option<$T> {
+                n.$to_ty()
+            }
+            #[inline]
+            fn from_i64(n: i64) -> Option<$T> {
+                n.$to_ty()
+            }
+            #[cfg(has_i128)]
+            #[inline]
+            fn from_i128(n: i128) -> Option<$T> {
+                n.$to_ty()
+            }
 
-            #[inline] fn from_u8(n: u8) -> Option<$T> { n.$to_ty() }
-            #[inline] fn from_u16(n: u16) -> Option<$T> { n.$to_ty() }
-            #[inline] fn from_u32(n: u32) -> Option<$T> { n.$to_ty() }
-            #[inline] fn from_u64(n: u64) -> Option<$T> { n.$to_ty() }
+            #[inline]
+            fn from_usize(n: usize) -> Option<$T> {
+                n.$to_ty()
+            }
+            #[inline]
+            fn from_u8(n: u8) -> Option<$T> {
+                n.$to_ty()
+            }
+            #[inline]
+            fn from_u16(n: u16) -> Option<$T> {
+                n.$to_ty()
+            }
+            #[inline]
+            fn from_u32(n: u32) -> Option<$T> {
+                n.$to_ty()
+            }
+            #[inline]
+            fn from_u64(n: u64) -> Option<$T> {
+                n.$to_ty()
+            }
+            #[cfg(has_i128)]
+            #[inline]
+            fn from_u128(n: u128) -> Option<$T> {
+                n.$to_ty()
+            }
 
-            #[inline] fn from_f32(n: f32) -> Option<$T> { n.$to_ty() }
-            #[inline] fn from_f64(n: f64) -> Option<$T> { n.$to_ty() }
+            #[inline]
+            fn from_f32(n: f32) -> Option<$T> {
+                n.$to_ty()
+            }
+            #[inline]
+            fn from_f64(n: f64) -> Option<$T> {
+                n.$to_ty()
+            }
         }
-    )
+    };
 }
 
 impl_from_primitive!(isize, to_isize);
-impl_from_primitive!(i8,    to_i8);
-impl_from_primitive!(i16,   to_i16);
-impl_from_primitive!(i32,   to_i32);
-impl_from_primitive!(i64,   to_i64);
+impl_from_primitive!(i8, to_i8);
+impl_from_primitive!(i16, to_i16);
+impl_from_primitive!(i32, to_i32);
+impl_from_primitive!(i64, to_i64);
+#[cfg(has_i128)]
+impl_from_primitive!(i128, to_i128);
 impl_from_primitive!(usize, to_usize);
-impl_from_primitive!(u8,    to_u8);
-impl_from_primitive!(u16,   to_u16);
-impl_from_primitive!(u32,   to_u32);
-impl_from_primitive!(u64,   to_u64);
-impl_from_primitive!(f32,   to_f32);
-impl_from_primitive!(f64,   to_f64);
+impl_from_primitive!(u8, to_u8);
+impl_from_primitive!(u16, to_u16);
+impl_from_primitive!(u32, to_u32);
+impl_from_primitive!(u64, to_u64);
+#[cfg(has_i128)]
+impl_from_primitive!(u128, to_u128);
+impl_from_primitive!(f32, to_f32);
+impl_from_primitive!(f64, to_f64);
 
+macro_rules! impl_to_primitive_wrapping {
+    ($( $(#[$cfg:meta])* fn $method:ident -> $i:ident ; )*) => {$(
+        #[inline]
+        $(#[$cfg])*
+        fn $method(&self) -> Option<$i> {
+            (self.0).$method()
+        }
+    )*}
+}
 
 impl<T: ToPrimitive> ToPrimitive for Wrapping<T> {
-    fn to_i64(&self) -> Option<i64> { self.0.to_i64() }
-    fn to_u64(&self) -> Option<u64> { self.0.to_u64() }
-}
-impl<T: FromPrimitive> FromPrimitive for Wrapping<T> {
-    fn from_u64(n: u64) -> Option<Self> { T::from_u64(n).map(Wrapping) }
-    fn from_i64(n: i64) -> Option<Self> { T::from_i64(n).map(Wrapping) }
+    impl_to_primitive_wrapping! {
+        fn to_isize -> isize;
+        fn to_i8 -> i8;
+        fn to_i16 -> i16;
+        fn to_i32 -> i32;
+        fn to_i64 -> i64;
+        #[cfg(has_i128)]
+        fn to_i128 -> i128;
+
+        fn to_usize -> usize;
+        fn to_u8 -> u8;
+        fn to_u16 -> u16;
+        fn to_u32 -> u32;
+        fn to_u64 -> u64;
+        #[cfg(has_i128)]
+        fn to_u128 -> u128;
+
+        fn to_f32 -> f32;
+        fn to_f64 -> f64;
+    }
 }
 
+macro_rules! impl_from_primitive_wrapping {
+    ($( $(#[$cfg:meta])* fn $method:ident ( $i:ident ); )*) => {$(
+        #[inline]
+        $(#[$cfg])*
+        fn $method(n: $i) -> Option<Self> {
+            T::$method(n).map(Wrapping)
+        }
+    )*}
+}
+
+impl<T: FromPrimitive> FromPrimitive for Wrapping<T> {
+    impl_from_primitive_wrapping! {
+        fn from_isize(isize);
+        fn from_i8(i8);
+        fn from_i16(i16);
+        fn from_i32(i32);
+        fn from_i64(i64);
+        #[cfg(has_i128)]
+        fn from_i128(i128);
+
+        fn from_usize(usize);
+        fn from_u8(u8);
+        fn from_u16(u16);
+        fn from_u32(u32);
+        fn from_u64(u64);
+        #[cfg(has_i128)]
+        fn from_u128(u128);
+
+        fn from_f32(f32);
+        fn from_f64(f64);
+    }
+}
 
 /// Cast from one machine scalar to another.
 ///
 /// # Examples
 ///
 /// ```
 /// # use num_traits as num;
 /// let twenty: f32 = num::cast(0x14).unwrap();
@@ -413,182 +685,130 @@ impl<T: FromPrimitive> FromPrimitive for
 #[inline]
 pub fn cast<T: NumCast, U: NumCast>(n: T) -> Option<U> {
     NumCast::from(n)
 }
 
 /// An interface for casting between machine scalars.
 pub trait NumCast: Sized + ToPrimitive {
     /// Creates a number from another value that can be converted into
-    /// a primitive via the `ToPrimitive` trait.
+    /// a primitive via the `ToPrimitive` trait. If the source value cannot be
+    /// represented by the target type, then `None` is returned.
+    ///
+    /// A value can be represented by the target type when it lies within
+    /// the range of scalars supported by the target type.
+    /// For example, a negative integer cannot be represented by an unsigned
+    /// integer type, and an `i64` with a very high magnitude might not be
+    /// convertible to an `i32`.
+    /// On the other hand, conversions with possible precision loss or truncation
+    /// are admitted, like an `f32` with a decimal part to an integer type, or
+    /// even a large `f64` saturating to `f32` infinity.
     fn from<T: ToPrimitive>(n: T) -> Option<Self>;
 }
 
 macro_rules! impl_num_cast {
-    ($T:ty, $conv:ident) => (
+    ($T:ty, $conv:ident) => {
         impl NumCast for $T {
             #[inline]
             #[allow(deprecated)]
             fn from<N: ToPrimitive>(n: N) -> Option<$T> {
                 // `$conv` could be generated using `concat_idents!`, but that
                 // macro seems to be broken at the moment
                 n.$conv()
             }
         }
-    )
+    };
 }
 
-impl_num_cast!(u8,    to_u8);
-impl_num_cast!(u16,   to_u16);
-impl_num_cast!(u32,   to_u32);
-impl_num_cast!(u64,   to_u64);
+impl_num_cast!(u8, to_u8);
+impl_num_cast!(u16, to_u16);
+impl_num_cast!(u32, to_u32);
+impl_num_cast!(u64, to_u64);
+#[cfg(has_i128)]
+impl_num_cast!(u128, to_u128);
 impl_num_cast!(usize, to_usize);
-impl_num_cast!(i8,    to_i8);
-impl_num_cast!(i16,   to_i16);
-impl_num_cast!(i32,   to_i32);
-impl_num_cast!(i64,   to_i64);
+impl_num_cast!(i8, to_i8);
+impl_num_cast!(i16, to_i16);
+impl_num_cast!(i32, to_i32);
+impl_num_cast!(i64, to_i64);
+#[cfg(has_i128)]
+impl_num_cast!(i128, to_i128);
 impl_num_cast!(isize, to_isize);
-impl_num_cast!(f32,   to_f32);
-impl_num_cast!(f64,   to_f64);
+impl_num_cast!(f32, to_f32);
+impl_num_cast!(f64, to_f64);
 
 impl<T: NumCast> NumCast for Wrapping<T> {
     fn from<U: ToPrimitive>(n: U) -> Option<Self> {
         T::from(n).map(Wrapping)
     }
 }
 
 /// A generic interface for casting between machine scalars with the
 /// `as` operator, which admits narrowing and precision loss.
-/// Implementers of this trait AsPrimitive should behave like a primitive
+/// Implementers of this trait `AsPrimitive` should behave like a primitive
 /// numeric type (e.g. a newtype around another primitive), and the
 /// intended conversion must never fail.
 ///
 /// # Examples
 ///
 /// ```
 /// # use num_traits::AsPrimitive;
 /// let three: i32 = (3.14159265f32).as_();
 /// assert_eq!(three, 3);
 /// ```
-/// 
+///
 /// # Safety
-/// 
-/// Currently, some uses of the `as` operator are not entirely safe.
-/// In particular, it is undefined behavior if:
-/// 
-/// - A truncated floating point value cannot fit in the target integer
-///   type ([#10184](https://github.com/rust-lang/rust/issues/10184));
-/// 
+///
+/// **In Rust versions before 1.45.0**, some uses of the `as` operator were not entirely safe.
+/// In particular, it was undefined behavior if
+/// a truncated floating point value could not fit in the target integer
+/// type ([#10184](https://github.com/rust-lang/rust/issues/10184)).
+///
 /// ```ignore
 /// # use num_traits::AsPrimitive;
 /// let x: u8 = (1.04E+17).as_(); // UB
 /// ```
-/// 
-/// - Or a floating point value does not fit in another floating
-///   point type ([#15536](https://github.com/rust-lang/rust/issues/15536)).
 ///
-/// ```ignore
-/// # use num_traits::AsPrimitive;
-/// let x: f32 = (1e300f64).as_(); // UB
-/// ```
-/// 
 pub trait AsPrimitive<T>: 'static + Copy
 where
-    T: 'static + Copy
+    T: 'static + Copy,
 {
     /// Convert a value to another, using the `as` operator.
     fn as_(self) -> T;
 }
 
 macro_rules! impl_as_primitive {
-    ($T: ty => $( $U: ty ),* ) => {
-        $(
+    (@ $T: ty => $(#[$cfg:meta])* impl $U: ty ) => {
+        $(#[$cfg])*
         impl AsPrimitive<$U> for $T {
             #[inline] fn as_(self) -> $U { self as $U }
         }
-        )*
+    };
+    (@ $T: ty => { $( $U: ty ),* } ) => {$(
+        impl_as_primitive!(@ $T => impl $U);
+    )*};
+    ($T: ty => { $( $U: ty ),* } ) => {
+        impl_as_primitive!(@ $T => { $( $U ),* });
+        impl_as_primitive!(@ $T => { u8, u16, u32, u64, usize });
+        impl_as_primitive!(@ $T => #[cfg(has_i128)] impl u128);
+        impl_as_primitive!(@ $T => { i8, i16, i32, i64, isize });
+        impl_as_primitive!(@ $T => #[cfg(has_i128)] impl i128);
     };
 }
 
-impl_as_primitive!(u8 => char, u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
-impl_as_primitive!(i8 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
-impl_as_primitive!(u16 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
-impl_as_primitive!(i16 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
-impl_as_primitive!(u32 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
-impl_as_primitive!(i32 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
-impl_as_primitive!(u64 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
-impl_as_primitive!(i64 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
-impl_as_primitive!(usize => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
-impl_as_primitive!(isize => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
-impl_as_primitive!(f32 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
-impl_as_primitive!(f64 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
-impl_as_primitive!(char => char, u8, i8, u16, i16, u32, i32, u64, isize, usize, i64);
-impl_as_primitive!(bool => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64);
-
-#[test]
-fn to_primitive_float() {
-    use core::f32;
-    use core::f64;
-
-    let f32_toolarge = 1e39f64;
-    assert_eq!(f32_toolarge.to_f32(), None);
-    assert_eq!((f32::MAX as f64).to_f32(), Some(f32::MAX));
-    assert_eq!((-f32::MAX as f64).to_f32(), Some(-f32::MAX));
-    assert_eq!(f64::INFINITY.to_f32(), Some(f32::INFINITY));
-    assert_eq!((f64::NEG_INFINITY).to_f32(), Some(f32::NEG_INFINITY));
-    assert!((f64::NAN).to_f32().map_or(false, |f| f.is_nan()));
-}
-
-#[test]
-fn wrapping_to_primitive() {
-    macro_rules! test_wrapping_to_primitive {
-        ($($t:ty)+) => {
-            $({
-                let i: $t = 0;
-                let w = Wrapping(i);
-                assert_eq!(i.to_u8(),    w.to_u8());
-                assert_eq!(i.to_u16(),   w.to_u16());
-                assert_eq!(i.to_u32(),   w.to_u32());
-                assert_eq!(i.to_u64(),   w.to_u64());
-                assert_eq!(i.to_usize(), w.to_usize());
-                assert_eq!(i.to_i8(),    w.to_i8());
-                assert_eq!(i.to_i16(),   w.to_i16());
-                assert_eq!(i.to_i32(),   w.to_i32());
-                assert_eq!(i.to_i64(),   w.to_i64());
-                assert_eq!(i.to_isize(), w.to_isize());
-                assert_eq!(i.to_f32(),   w.to_f32());
-                assert_eq!(i.to_f64(),   w.to_f64());
-            })+
-        };
-    }
-
-    test_wrapping_to_primitive!(usize u8 u16 u32 u64 isize i8 i16 i32 i64);
-}
-
-#[test]
-fn wrapping_is_toprimitive() {
-    fn require_toprimitive<T: ToPrimitive>(_: &T) {}
-    require_toprimitive(&Wrapping(42));
-}
-
-#[test]
-fn wrapping_is_fromprimitive() {
-    fn require_fromprimitive<T: FromPrimitive>(_: &T) {}
-    require_fromprimitive(&Wrapping(42));
-}
-
-#[test]
-fn wrapping_is_numcast() {
-    fn require_numcast<T: NumCast>(_: &T) {}
-    require_numcast(&Wrapping(42));
-}
-
-#[test]
-fn as_primitive() {
-    let x: f32 = (1.625f64).as_();
-    assert_eq!(x, 1.625f32);
-
-    let x: f32 = (3.14159265358979323846f64).as_();
-    assert_eq!(x, 3.1415927f32);
-
-    let x: u8 = (768i16).as_();
-    assert_eq!(x, 0);
-}
+impl_as_primitive!(u8 => { char, f32, f64 });
+impl_as_primitive!(i8 => { f32, f64 });
+impl_as_primitive!(u16 => { f32, f64 });
+impl_as_primitive!(i16 => { f32, f64 });
+impl_as_primitive!(u32 => { f32, f64 });
+impl_as_primitive!(i32 => { f32, f64 });
+impl_as_primitive!(u64 => { f32, f64 });
+impl_as_primitive!(i64 => { f32, f64 });
+#[cfg(has_i128)]
+impl_as_primitive!(u128 => { f32, f64 });
+#[cfg(has_i128)]
+impl_as_primitive!(i128 => { f32, f64 });
+impl_as_primitive!(usize => { f32, f64 });
+impl_as_primitive!(isize => { f32, f64 });
+impl_as_primitive!(f32 => { f32, f64 });
+impl_as_primitive!(f64 => { f32, f64 });
+impl_as_primitive!(char => { char });
+impl_as_primitive!(bool => {});
diff --git a/third_party/rust/num-traits/src/float.rs b/third_party/rust/num-traits/src/float.rs
--- a/third_party/rust/num-traits/src/float.rs
+++ b/third_party/rust/num-traits/src/float.rs
@@ -1,36 +1,969 @@
-#[cfg(feature = "std")]
-use std::mem;
-#[cfg(feature = "std")]
-use std::ops::Neg;
-#[cfg(feature = "std")]
-use std::num::FpCategory;
+use core::mem;
+use core::num::FpCategory;
+use core::ops::{Add, Div, Neg};
+
+use core::f32;
+use core::f64;
+
+use {Num, NumCast, ToPrimitive};
+
+#[cfg(all(not(feature = "std"), feature = "libm"))]
+use libm;
+
+/// Generic trait for floating point numbers that works with `no_std`.
+///
+/// This trait implements a subset of the `Float` trait.
+pub trait FloatCore: Num + NumCast + Neg<Output = Self> + PartialOrd + Copy {
+    /// Returns positive infinity.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T) {
+    ///     assert!(T::infinity() == x);
+    /// }
+    ///
+    /// check(f32::INFINITY);
+    /// check(f64::INFINITY);
+    /// ```
+    fn infinity() -> Self;
+
+    /// Returns negative infinity.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T) {
+    ///     assert!(T::neg_infinity() == x);
+    /// }
+    ///
+    /// check(f32::NEG_INFINITY);
+    /// check(f64::NEG_INFINITY);
+    /// ```
+    fn neg_infinity() -> Self;
+
+    /// Returns NaN.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    ///
+    /// fn check<T: FloatCore>() {
+    ///     let n = T::nan();
+    ///     assert!(n != n);
+    /// }
+    ///
+    /// check::<f32>();
+    /// check::<f64>();
+    /// ```
+    fn nan() -> Self;
+
+    /// Returns `-0.0`.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(n: T) {
+    ///     let z = T::neg_zero();
+    ///     assert!(z.is_zero());
+    ///     assert!(T::one() / z == n);
+    /// }
+    ///
+    /// check(f32::NEG_INFINITY);
+    /// check(f64::NEG_INFINITY);
+    /// ```
+    fn neg_zero() -> Self;
+
+    /// Returns the smallest finite value that this type can represent.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T) {
+    ///     assert!(T::min_value() == x);
+    /// }
+    ///
+    /// check(f32::MIN);
+    /// check(f64::MIN);
+    /// ```
+    fn min_value() -> Self;
+
+    /// Returns the smallest positive, normalized value that this type can represent.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T) {
+    ///     assert!(T::min_positive_value() == x);
+    /// }
+    ///
+    /// check(f32::MIN_POSITIVE);
+    /// check(f64::MIN_POSITIVE);
+    /// ```
+    fn min_positive_value() -> Self;
+
+    /// Returns epsilon, a small positive value.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T) {
+    ///     assert!(T::epsilon() == x);
+    /// }
+    ///
+    /// check(f32::EPSILON);
+    /// check(f64::EPSILON);
+    /// ```
+    fn epsilon() -> Self;
+
+    /// Returns the largest finite value that this type can represent.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T) {
+    ///     assert!(T::max_value() == x);
+    /// }
+    ///
+    /// check(f32::MAX);
+    /// check(f64::MAX);
+    /// ```
+    fn max_value() -> Self;
+
+    /// Returns `true` if the number is NaN.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, p: bool) {
+    ///     assert!(x.is_nan() == p);
+    /// }
+    ///
+    /// check(f32::NAN, true);
+    /// check(f32::INFINITY, false);
+    /// check(f64::NAN, true);
+    /// check(0.0f64, false);
+    /// ```
+    #[inline]
+    fn is_nan(self) -> bool {
+        self != self
+    }
+
+    /// Returns `true` if the number is infinite.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, p: bool) {
+    ///     assert!(x.is_infinite() == p);
+    /// }
+    ///
+    /// check(f32::INFINITY, true);
+    /// check(f32::NEG_INFINITY, true);
+    /// check(f32::NAN, false);
+    /// check(f64::INFINITY, true);
+    /// check(f64::NEG_INFINITY, true);
+    /// check(0.0f64, false);
+    /// ```
+    #[inline]
+    fn is_infinite(self) -> bool {
+        self == Self::infinity() || self == Self::neg_infinity()
+    }
+
+    /// Returns `true` if the number is neither infinite or NaN.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, p: bool) {
+    ///     assert!(x.is_finite() == p);
+    /// }
+    ///
+    /// check(f32::INFINITY, false);
+    /// check(f32::MAX, true);
+    /// check(f64::NEG_INFINITY, false);
+    /// check(f64::MIN_POSITIVE, true);
+    /// check(f64::NAN, false);
+    /// ```
+    #[inline]
+    fn is_finite(self) -> bool {
+        !(self.is_nan() || self.is_infinite())
+    }
+
+    /// Returns `true` if the number is neither zero, infinite, subnormal or NaN.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, p: bool) {
+    ///     assert!(x.is_normal() == p);
+    /// }
+    ///
+    /// check(f32::INFINITY, false);
+    /// check(f32::MAX, true);
+    /// check(f64::NEG_INFINITY, false);
+    /// check(f64::MIN_POSITIVE, true);
+    /// check(0.0f64, false);
+    /// ```
+    #[inline]
+    fn is_normal(self) -> bool {
+        self.classify() == FpCategory::Normal
+    }
+
+    /// Returns the floating point category of the number. If only one property
+    /// is going to be tested, it is generally faster to use the specific
+    /// predicate instead.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    /// use std::num::FpCategory;
+    ///
+    /// fn check<T: FloatCore>(x: T, c: FpCategory) {
+    ///     assert!(x.classify() == c);
+    /// }
+    ///
+    /// check(f32::INFINITY, FpCategory::Infinite);
+    /// check(f32::MAX, FpCategory::Normal);
+    /// check(f64::NAN, FpCategory::Nan);
+    /// check(f64::MIN_POSITIVE, FpCategory::Normal);
+    /// check(f64::MIN_POSITIVE / 2.0, FpCategory::Subnormal);
+    /// check(0.0f64, FpCategory::Zero);
+    /// ```
+    fn classify(self) -> FpCategory;
+
+    /// Returns the largest integer less than or equal to a number.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, y: T) {
+    ///     assert!(x.floor() == y);
+    /// }
+    ///
+    /// check(f32::INFINITY, f32::INFINITY);
+    /// check(0.9f32, 0.0);
+    /// check(1.0f32, 1.0);
+    /// check(1.1f32, 1.0);
+    /// check(-0.0f64, 0.0);
+    /// check(-0.9f64, -1.0);
+    /// check(-1.0f64, -1.0);
+    /// check(-1.1f64, -2.0);
+    /// check(f64::MIN, f64::MIN);
+    /// ```
+    #[inline]
+    fn floor(self) -> Self {
+        let f = self.fract();
+        if f.is_nan() || f.is_zero() {
+            self
+        } else if self < Self::zero() {
+            self - f - Self::one()
+        } else {
+            self - f
+        }
+    }
+
+    /// Returns the smallest integer greater than or equal to a number.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, y: T) {
+    ///     assert!(x.ceil() == y);
+    /// }
+    ///
+    /// check(f32::INFINITY, f32::INFINITY);
+    /// check(0.9f32, 1.0);
+    /// check(1.0f32, 1.0);
+    /// check(1.1f32, 2.0);
+    /// check(-0.0f64, 0.0);
+    /// check(-0.9f64, -0.0);
+    /// check(-1.0f64, -1.0);
+    /// check(-1.1f64, -1.0);
+    /// check(f64::MIN, f64::MIN);
+    /// ```
+    #[inline]
+    fn ceil(self) -> Self {
+        let f = self.fract();
+        if f.is_nan() || f.is_zero() {
+            self
+        } else if self > Self::zero() {
+            self - f + Self::one()
+        } else {
+            self - f
+        }
+    }
+
+    /// Returns the nearest integer to a number. Round half-way cases away from `0.0`.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, y: T) {
+    ///     assert!(x.round() == y);
+    /// }
+    ///
+    /// check(f32::INFINITY, f32::INFINITY);
+    /// check(0.4f32, 0.0);
+    /// check(0.5f32, 1.0);
+    /// check(0.6f32, 1.0);
+    /// check(-0.4f64, 0.0);
+    /// check(-0.5f64, -1.0);
+    /// check(-0.6f64, -1.0);
+    /// check(f64::MIN, f64::MIN);
+    /// ```
+    #[inline]
+    fn round(self) -> Self {
+        let one = Self::one();
+        let h = Self::from(0.5).expect("Unable to cast from 0.5");
+        let f = self.fract();
+        if f.is_nan() || f.is_zero() {
+            self
+        } else if self > Self::zero() {
+            if f < h {
+                self - f
+            } else {
+                self - f + one
+            }
+        } else {
+            if -f < h {
+                self - f
+            } else {
+                self - f - one
+            }
+        }
+    }
+
+    /// Return the integer part of a number.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, y: T) {
+    ///     assert!(x.trunc() == y);
+    /// }
+    ///
+    /// check(f32::INFINITY, f32::INFINITY);
+    /// check(0.9f32, 0.0);
+    /// check(1.0f32, 1.0);
+    /// check(1.1f32, 1.0);
+    /// check(-0.0f64, 0.0);
+    /// check(-0.9f64, -0.0);
+    /// check(-1.0f64, -1.0);
+    /// check(-1.1f64, -1.0);
+    /// check(f64::MIN, f64::MIN);
+    /// ```
+    #[inline]
+    fn trunc(self) -> Self {
+        let f = self.fract();
+        if f.is_nan() {
+            self
+        } else {
+            self - f
+        }
+    }
+
+    /// Returns the fractional part of a number.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, y: T) {
+    ///     assert!(x.fract() == y);
+    /// }
+    ///
+    /// check(f32::MAX, 0.0);
+    /// check(0.75f32, 0.75);
+    /// check(1.0f32, 0.0);
+    /// check(1.25f32, 0.25);
+    /// check(-0.0f64, 0.0);
+    /// check(-0.75f64, -0.75);
+    /// check(-1.0f64, 0.0);
+    /// check(-1.25f64, -0.25);
+    /// check(f64::MIN, 0.0);
+    /// ```
+    #[inline]
+    fn fract(self) -> Self {
+        if self.is_zero() {
+            Self::zero()
+        } else {
+            self % Self::one()
+        }
+    }
+
+    /// Computes the absolute value of `self`. Returns `FloatCore::nan()` if the
+    /// number is `FloatCore::nan()`.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, y: T) {
+    ///     assert!(x.abs() == y);
+    /// }
+    ///
+    /// check(f32::INFINITY, f32::INFINITY);
+    /// check(1.0f32, 1.0);
+    /// check(0.0f64, 0.0);
+    /// check(-0.0f64, 0.0);
+    /// check(-1.0f64, 1.0);
+    /// check(f64::MIN, f64::MAX);
+    /// ```
+    #[inline]
+    fn abs(self) -> Self {
+        if self.is_sign_positive() {
+            return self;
+        }
+        if self.is_sign_negative() {
+            return -self;
+        }
+        Self::nan()
+    }
 
-// Used for default implementation of `epsilon`
-#[cfg(feature = "std")]
-use std::f32;
+    /// Returns a number that represents the sign of `self`.
+    ///
+    /// - `1.0` if the number is positive, `+0.0` or `FloatCore::infinity()`
+    /// - `-1.0` if the number is negative, `-0.0` or `FloatCore::neg_infinity()`
+    /// - `FloatCore::nan()` if the number is `FloatCore::nan()`
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, y: T) {
+    ///     assert!(x.signum() == y);
+    /// }
+    ///
+    /// check(f32::INFINITY, 1.0);
+    /// check(3.0f32, 1.0);
+    /// check(0.0f32, 1.0);
+    /// check(-0.0f64, -1.0);
+    /// check(-3.0f64, -1.0);
+    /// check(f64::MIN, -1.0);
+    /// ```
+    #[inline]
+    fn signum(self) -> Self {
+        if self.is_nan() {
+            Self::nan()
+        } else if self.is_sign_negative() {
+            -Self::one()
+        } else {
+            Self::one()
+        }
+    }
+
+    /// Returns `true` if `self` is positive, including `+0.0` and
+    /// `FloatCore::infinity()`, and since Rust 1.20 also
+    /// `FloatCore::nan()`.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, p: bool) {
+    ///     assert!(x.is_sign_positive() == p);
+    /// }
+    ///
+    /// check(f32::INFINITY, true);
+    /// check(f32::MAX, true);
+    /// check(0.0f32, true);
+    /// check(-0.0f64, false);
+    /// check(f64::NEG_INFINITY, false);
+    /// check(f64::MIN_POSITIVE, true);
+    /// check(-f64::NAN, false);
+    /// ```
+    #[inline]
+    fn is_sign_positive(self) -> bool {
+        !self.is_sign_negative()
+    }
+
+    /// Returns `true` if `self` is negative, including `-0.0` and
+    /// `FloatCore::neg_infinity()`, and since Rust 1.20 also
+    /// `-FloatCore::nan()`.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, p: bool) {
+    ///     assert!(x.is_sign_negative() == p);
+    /// }
+    ///
+    /// check(f32::INFINITY, false);
+    /// check(f32::MAX, false);
+    /// check(0.0f32, false);
+    /// check(-0.0f64, true);
+    /// check(f64::NEG_INFINITY, true);
+    /// check(f64::MIN_POSITIVE, false);
+    /// check(f64::NAN, false);
+    /// ```
+    #[inline]
+    fn is_sign_negative(self) -> bool {
+        let (_, _, sign) = self.integer_decode();
+        sign < 0
+    }
+
+    /// Returns the minimum of the two numbers.
+    ///
+    /// If one of the arguments is NaN, then the other argument is returned.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, y: T, min: T) {
+    ///     assert!(x.min(y) == min);
+    /// }
+    ///
+    /// check(1.0f32, 2.0, 1.0);
+    /// check(f32::NAN, 2.0, 2.0);
+    /// check(1.0f64, -2.0, -2.0);
+    /// check(1.0f64, f64::NAN, 1.0);
+    /// ```
+    #[inline]
+    fn min(self, other: Self) -> Self {
+        if self.is_nan() {
+            return other;
+        }
+        if other.is_nan() {
+            return self;
+        }
+        if self < other {
+            self
+        } else {
+            other
+        }
+    }
+
+    /// Returns the maximum of the two numbers.
+    ///
+    /// If one of the arguments is NaN, then the other argument is returned.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, y: T, max: T) {
+    ///     assert!(x.max(y) == max);
+    /// }
+    ///
+    /// check(1.0f32, 2.0, 2.0);
+    /// check(1.0f32, f32::NAN, 1.0);
+    /// check(-1.0f64, 2.0, 2.0);
+    /// check(-1.0f64, f64::NAN, -1.0);
+    /// ```
+    #[inline]
+    fn max(self, other: Self) -> Self {
+        if self.is_nan() {
+            return other;
+        }
+        if other.is_nan() {
+            return self;
+        }
+        if self > other {
+            self
+        } else {
+            other
+        }
+    }
+
+    /// Returns the reciprocal (multiplicative inverse) of the number.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, y: T) {
+    ///     assert!(x.recip() == y);
+    ///     assert!(y.recip() == x);
+    /// }
+    ///
+    /// check(f32::INFINITY, 0.0);
+    /// check(2.0f32, 0.5);
+    /// check(-0.25f64, -4.0);
+    /// check(-0.0f64, f64::NEG_INFINITY);
+    /// ```
+    #[inline]
+    fn recip(self) -> Self {
+        Self::one() / self
+    }
+
+    /// Raise a number to an integer power.
+    ///
+    /// Using this function is generally faster than using `powf`
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    ///
+    /// fn check<T: FloatCore>(x: T, exp: i32, powi: T) {
+    ///     assert!(x.powi(exp) == powi);
+    /// }
+    ///
+    /// check(9.0f32, 2, 81.0);
+    /// check(1.0f32, -2, 1.0);
+    /// check(10.0f64, 20, 1e20);
+    /// check(4.0f64, -2, 0.0625);
+    /// check(-1.0f64, std::i32::MIN, 1.0);
+    /// ```
+    #[inline]
+    fn powi(mut self, mut exp: i32) -> Self {
+        if exp < 0 {
+            exp = exp.wrapping_neg();
+            self = self.recip();
+        }
+        // It should always be possible to convert a positive `i32` to a `usize`.
+        // Note, `i32::MIN` will wrap and still be negative, so we need to convert
+        // to `u32` without sign-extension before growing to `usize`.
+        super::pow(self, (exp as u32).to_usize().unwrap())
+    }
+
+    /// Converts to degrees, assuming the number is in radians.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(rad: T, deg: T) {
+    ///     assert!(rad.to_degrees() == deg);
+    /// }
+    ///
+    /// check(0.0f32, 0.0);
+    /// check(f32::consts::PI, 180.0);
+    /// check(f64::consts::FRAC_PI_4, 45.0);
+    /// check(f64::INFINITY, f64::INFINITY);
+    /// ```
+    fn to_degrees(self) -> Self;
 
-#[cfg(feature = "std")]
-use {Num, NumCast};
+    /// Converts to radians, assuming the number is in degrees.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(deg: T, rad: T) {
+    ///     assert!(deg.to_radians() == rad);
+    /// }
+    ///
+    /// check(0.0f32, 0.0);
+    /// check(180.0, f32::consts::PI);
+    /// check(45.0, f64::consts::FRAC_PI_4);
+    /// check(f64::INFINITY, f64::INFINITY);
+    /// ```
+    fn to_radians(self) -> Self;
+
+    /// Returns the mantissa, base 2 exponent, and sign as integers, respectively.
+    /// The original number can be recovered by `sign * mantissa * 2 ^ exponent`.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::float::FloatCore;
+    /// use std::{f32, f64};
+    ///
+    /// fn check<T: FloatCore>(x: T, m: u64, e: i16, s:i8) {
+    ///     let (mantissa, exponent, sign) = x.integer_decode();
+    ///     assert_eq!(mantissa, m);
+    ///     assert_eq!(exponent, e);
+    ///     assert_eq!(sign, s);
+    /// }
+    ///
+    /// check(2.0f32, 1 << 23, -22, 1);
+    /// check(-2.0f32, 1 << 23, -22, -1);
+    /// check(f32::INFINITY, 1 << 23, 105, 1);
+    /// check(f64::NEG_INFINITY, 1 << 52, 972, -1);
+    /// ```
+    fn integer_decode(self) -> (u64, i16, i8);
+}
+
+impl FloatCore for f32 {
+    constant! {
+        infinity() -> f32::INFINITY;
+        neg_infinity() -> f32::NEG_INFINITY;
+        nan() -> f32::NAN;
+        neg_zero() -> -0.0;
+        min_value() -> f32::MIN;
+        min_positive_value() -> f32::MIN_POSITIVE;
+        epsilon() -> f32::EPSILON;
+        max_value() -> f32::MAX;
+    }
+
+    #[inline]
+    fn integer_decode(self) -> (u64, i16, i8) {
+        integer_decode_f32(self)
+    }
+
+    #[inline]
+    #[cfg(not(feature = "std"))]
+    fn classify(self) -> FpCategory {
+        const EXP_MASK: u32 = 0x7f800000;
+        const MAN_MASK: u32 = 0x007fffff;
+
+        // Safety: this identical to the implementation of f32::to_bits(),
+        // which is only available starting at Rust 1.20
+        let bits: u32 = unsafe { mem::transmute(self) };
+        match (bits & MAN_MASK, bits & EXP_MASK) {
+            (0, 0) => FpCategory::Zero,
+            (_, 0) => FpCategory::Subnormal,
+            (0, EXP_MASK) => FpCategory::Infinite,
+            (_, EXP_MASK) => FpCategory::Nan,
+            _ => FpCategory::Normal,
+        }
+    }
+
+    #[inline]
+    #[cfg(not(feature = "std"))]
+    fn is_sign_negative(self) -> bool {
+        const SIGN_MASK: u32 = 0x80000000;
+
+        // Safety: this identical to the implementation of f32::to_bits(),
+        // which is only available starting at Rust 1.20
+        let bits: u32 = unsafe { mem::transmute(self) };
+        bits & SIGN_MASK != 0
+    }
+
+    #[inline]
+    #[cfg(not(feature = "std"))]
+    fn to_degrees(self) -> Self {
+        // Use a constant for better precision.
+        const PIS_IN_180: f32 = 57.2957795130823208767981548141051703_f32;
+        self * PIS_IN_180
+    }
+
+    #[inline]
+    #[cfg(not(feature = "std"))]
+    fn to_radians(self) -> Self {
+        self * (f32::consts::PI / 180.0)
+    }
+
+    #[cfg(feature = "std")]
+    forward! {
+        Self::is_nan(self) -> bool;
+        Self::is_infinite(self) -> bool;
+        Self::is_finite(self) -> bool;
+        Self::is_normal(self) -> bool;
+        Self::classify(self) -> FpCategory;
+        Self::floor(self) -> Self;
+        Self::ceil(self) -> Self;
+        Self::round(self) -> Self;
+        Self::trunc(self) -> Self;
+        Self::fract(self) -> Self;
+        Self::abs(self) -> Self;
+        Self::signum(self) -> Self;
+        Self::is_sign_positive(self) -> bool;
+        Self::is_sign_negative(self) -> bool;
+        Self::min(self, other: Self) -> Self;
+        Self::max(self, other: Self) -> Self;
+        Self::recip(self) -> Self;
+        Self::powi(self, n: i32) -> Self;
+        Self::to_degrees(self) -> Self;
+        Self::to_radians(self) -> Self;
+    }
+
+    #[cfg(all(not(feature = "std"), feature = "libm"))]
+    forward! {
+        libm::floorf as floor(self) -> Self;
+        libm::ceilf as ceil(self) -> Self;
+        libm::roundf as round(self) -> Self;
+        libm::truncf as trunc(self) -> Self;
+        libm::fabsf as abs(self) -> Self;
+        libm::fminf as min(self, other: Self) -> Self;
+        libm::fmaxf as max(self, other: Self) -> Self;
+    }
+
+    #[cfg(all(not(feature = "std"), feature = "libm"))]
+    #[inline]
+    fn fract(self) -> Self {
+        self - libm::truncf(self)
+    }
+}
+
+impl FloatCore for f64 {
+    constant! {
+        infinity() -> f64::INFINITY;
+        neg_infinity() -> f64::NEG_INFINITY;
+        nan() -> f64::NAN;
+        neg_zero() -> -0.0;
+        min_value() -> f64::MIN;
+        min_positive_value() -> f64::MIN_POSITIVE;
+        epsilon() -> f64::EPSILON;
+        max_value() -> f64::MAX;
+    }
+
+    #[inline]
+    fn integer_decode(self) -> (u64, i16, i8) {
+        integer_decode_f64(self)
+    }
+
+    #[inline]
+    #[cfg(not(feature = "std"))]
+    fn classify(self) -> FpCategory {
+        const EXP_MASK: u64 = 0x7ff0000000000000;
+        const MAN_MASK: u64 = 0x000fffffffffffff;
+
+        // Safety: this identical to the implementation of f64::to_bits(),
+        // which is only available starting at Rust 1.20
+        let bits: u64 = unsafe { mem::transmute(self) };
+        match (bits & MAN_MASK, bits & EXP_MASK) {
+            (0, 0) => FpCategory::Zero,
+            (_, 0) => FpCategory::Subnormal,
+            (0, EXP_MASK) => FpCategory::Infinite,
+            (_, EXP_MASK) => FpCategory::Nan,
+            _ => FpCategory::Normal,
+        }
+    }
+
+    #[inline]
+    #[cfg(not(feature = "std"))]
+    fn is_sign_negative(self) -> bool {
+        const SIGN_MASK: u64 = 0x8000000000000000;
+
+        // Safety: this identical to the implementation of f64::to_bits(),
+        // which is only available starting at Rust 1.20
+        let bits: u64 = unsafe { mem::transmute(self) };
+        bits & SIGN_MASK != 0
+    }
+
+    #[inline]
+    #[cfg(not(feature = "std"))]
+    fn to_degrees(self) -> Self {
+        // The division here is correctly rounded with respect to the true
+        // value of 180/π. (This differs from f32, where a constant must be
+        // used to ensure a correctly rounded result.)
+        self * (180.0 / f64::consts::PI)
+    }
+
+    #[inline]
+    #[cfg(not(feature = "std"))]
+    fn to_radians(self) -> Self {
+        self * (f64::consts::PI / 180.0)
+    }
+
+    #[cfg(feature = "std")]
+    forward! {
+        Self::is_nan(self) -> bool;
+        Self::is_infinite(self) -> bool;
+        Self::is_finite(self) -> bool;
+        Self::is_normal(self) -> bool;
+        Self::classify(self) -> FpCategory;
+        Self::floor(self) -> Self;
+        Self::ceil(self) -> Self;
+        Self::round(self) -> Self;
+        Self::trunc(self) -> Self;
+        Self::fract(self) -> Self;
+        Self::abs(self) -> Self;
+        Self::signum(self) -> Self;
+        Self::is_sign_positive(self) -> bool;
+        Self::is_sign_negative(self) -> bool;
+        Self::min(self, other: Self) -> Self;
+        Self::max(self, other: Self) -> Self;
+        Self::recip(self) -> Self;
+        Self::powi(self, n: i32) -> Self;
+        Self::to_degrees(self) -> Self;
+        Self::to_radians(self) -> Self;
+    }
+
+    #[cfg(all(not(feature = "std"), feature = "libm"))]
+    forward! {
+        libm::floor as floor(self) -> Self;
+        libm::ceil as ceil(self) -> Self;
+        libm::round as round(self) -> Self;
+        libm::trunc as trunc(self) -> Self;
+        libm::fabs as abs(self) -> Self;
+        libm::fmin as min(self, other: Self) -> Self;
+        libm::fmax as max(self, other: Self) -> Self;
+    }
+
+    #[cfg(all(not(feature = "std"), feature = "libm"))]
+    #[inline]
+    fn fract(self) -> Self {
+        self - libm::trunc(self)
+    }
+}
 
 // FIXME: these doctests aren't actually helpful, because they're using and
 // testing the inherent methods directly, not going through `Float`.
 
 /// Generic trait for floating point numbers
 ///
-/// This trait is only available with the `std` feature.
-#[cfg(feature = "std")]
-pub trait Float
-    : Num
-    + Copy
-    + NumCast
-    + PartialOrd
-    + Neg<Output = Self>
-{
+/// This trait is only available with the `std` feature, or with the `libm` feature otherwise.
+#[cfg(any(feature = "std", feature = "libm"))]
+pub trait Float: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
     /// Returns the `NaN` value.
     ///
     /// ```
     /// use num_traits::Float;
     ///
     /// let nan: f32 = Float::nan();
     ///
     /// assert!(nan.is_nan());
@@ -328,17 +1261,17 @@ pub trait Float
     /// assert_eq!(f.signum(), 1.0);
     /// assert_eq!(f64::NEG_INFINITY.signum(), -1.0);
     ///
     /// assert!(f64::NAN.signum().is_nan());
     /// ```
     fn signum(self) -> Self;
 
     /// Returns `true` if `self` is positive, including `+0.0`,
-    /// `Float::infinity()`, and with newer versions of Rust `f64::NAN`.
+    /// `Float::infinity()`, and since Rust 1.20 also `Float::nan()`.
     ///
     /// ```
     /// use num_traits::Float;
     /// use std::f64;
     ///
     /// let neg_nan: f64 = -f64::NAN;
     ///
     /// let f = 7.0;
@@ -346,17 +1279,17 @@ pub trait Float
     ///
     /// assert!(f.is_sign_positive());
     /// assert!(!g.is_sign_positive());
     /// assert!(!neg_nan.is_sign_positive());
     /// ```
     fn is_sign_positive(self) -> bool;
 
     /// Returns `true` if `self` is negative, including `-0.0`,
-    /// `Float::neg_infinity()`, and with newer versions of Rust `-f64::NAN`.
+    /// `Float::neg_infinity()`, and since Rust 1.20 also `-Float::nan()`.
     ///
     /// ```
     /// use num_traits::Float;
     /// use std::f64;
     ///
     /// let nan: f64 = f64::NAN;
     ///
     /// let f = 7.0;
@@ -364,18 +1297,20 @@ pub trait Float
     ///
     /// assert!(!f.is_sign_negative());
     /// assert!(g.is_sign_negative());
     /// assert!(!nan.is_sign_negative());
     /// ```
     fn is_sign_negative(self) -> bool;
 
     /// Fused multiply-add. Computes `(self * a) + b` with only one rounding
-    /// error. This produces a more accurate result with better performance than
-    /// a separate multiplication operation followed by an add.
+    /// error, yielding a more accurate result than an unfused multiply-add.
+    ///
+    /// Using `mul_add` can be more performant than an unfused multiply-add if
+    /// the target architecture has a dedicated `fma` CPU instruction.
     ///
     /// ```
     /// use num_traits::Float;
     ///
     /// let m = 10.0;
     /// let x = 4.0;
     /// let b = 60.0;
     ///
@@ -902,20 +1837,18 @@ pub trait Float
     /// let f = e.tanh().atanh();
     ///
     /// let abs_difference = (f - e).abs();
     ///
     /// assert!(abs_difference < 1.0e-10);
     /// ```
     fn atanh(self) -> Self;
 
-
     /// Returns the mantissa, base 2 exponent, and sign as integers, respectively.
     /// The original number can be recovered by `sign * mantissa * 2 ^ exponent`.
-    /// The floating point encoding is documented in the [Reference][floating-point].
     ///
     /// ```
     /// use num_traits::Float;
     ///
     /// let num = 2.0f32;
     ///
     /// // (8388608, -22, 1)
     /// let (mantissa, exponent, sign) = Float::integer_decode(num);
@@ -923,377 +1856,344 @@ pub trait Float
     /// let mantissa_f = mantissa as f32;
     /// let exponent_f = num.powf(exponent as f32);
     ///
     /// // 1 * 8388608 * 2^(-22) == 2
     /// let abs_difference = (sign_f * mantissa_f * exponent_f - num).abs();
     ///
     /// assert!(abs_difference < 1e-10);
     /// ```
-    /// [floating-point]: ../../../../../reference.html#machine-types
     fn integer_decode(self) -> (u64, i16, i8);
+
+    /// Returns a number composed of the magnitude of `self` and the sign of
+    /// `sign`.
+    ///
+    /// Equal to `self` if the sign of `self` and `sign` are the same, otherwise
+    /// equal to `-self`. If `self` is a `NAN`, then a `NAN` with the sign of
+    /// `sign` is returned.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::Float;
+    ///
+    /// let f = 3.5_f32;
+    ///
+    /// assert_eq!(f.copysign(0.42), 3.5_f32);
+    /// assert_eq!(f.copysign(-0.42), -3.5_f32);
+    /// assert_eq!((-f).copysign(0.42), 3.5_f32);
+    /// assert_eq!((-f).copysign(-0.42), -3.5_f32);
+    ///
+    /// assert!(f32::nan().copysign(1.0).is_nan());
+    /// ```
+    fn copysign(self, sign: Self) -> Self {
+        if self.is_sign_negative() == sign.is_sign_negative() {
+            self
+        } else {
+            self.neg()
+        }
+    }
 }
 
 #[cfg(feature = "std")]
-macro_rules! float_impl {
-    ($T:ident $decode:ident) => (
+macro_rules! float_impl_std {
+    ($T:ident $decode:ident) => {
         impl Float for $T {
-            #[inline]
-            fn nan() -> Self {
-                ::std::$T::NAN
-            }
-
-            #[inline]
-            fn infinity() -> Self {
-                ::std::$T::INFINITY
-            }
-
-            #[inline]
-            fn neg_infinity() -> Self {
-                ::std::$T::NEG_INFINITY
-            }
-
-            #[inline]
-            fn neg_zero() -> Self {
-                -0.0
-            }
-
-            #[inline]
-            fn min_value() -> Self {
-                ::std::$T::MIN
-            }
-
-            #[inline]
-            fn min_positive_value() -> Self {
-                ::std::$T::MIN_POSITIVE
-            }
-
-            #[inline]
-            fn epsilon() -> Self {
-                ::std::$T::EPSILON
-            }
-
-            #[inline]
-            fn max_value() -> Self {
-                ::std::$T::MAX
-            }
-
-            #[inline]
-            fn is_nan(self) -> bool {
-                <$T>::is_nan(self)
-            }
-
-            #[inline]
-            fn is_infinite(self) -> bool {
-                <$T>::is_infinite(self)
-            }
-
-            #[inline]
-            fn is_finite(self) -> bool {
-                <$T>::is_finite(self)
-            }
-
-            #[inline]
-            fn is_normal(self) -> bool {
-                <$T>::is_normal(self)
-            }
-
-            #[inline]
-            fn classify(self) -> FpCategory {
-                <$T>::classify(self)
-            }
-
-            #[inline]
-            fn floor(self) -> Self {
-                <$T>::floor(self)
-            }
-
-            #[inline]
-            fn ceil(self) -> Self {
-                <$T>::ceil(self)
-            }
-
-            #[inline]
-            fn round(self) -> Self {
-                <$T>::round(self)
-            }
-
-            #[inline]
-            fn trunc(self) -> Self {
-                <$T>::trunc(self)
-            }
-
-            #[inline]
-            fn fract(self) -> Self {
-                <$T>::fract(self)
-            }
-
-            #[inline]
-            fn abs(self) -> Self {
-                <$T>::abs(self)
-            }
-
-            #[inline]
-            fn signum(self) -> Self {
-                <$T>::signum(self)
-            }
-
-            #[inline]
-            fn is_sign_positive(self) -> bool {
-                <$T>::is_sign_positive(self)
-            }
-
-            #[inline]
-            fn is_sign_negative(self) -> bool {
-                <$T>::is_sign_negative(self)
-            }
-
-            #[inline]
-            fn mul_add(self, a: Self, b: Self) -> Self {
-                <$T>::mul_add(self, a, b)
-            }
-
-            #[inline]
-            fn recip(self) -> Self {
-                <$T>::recip(self)
-            }
-
-            #[inline]
-            fn powi(self, n: i32) -> Self {
-                <$T>::powi(self, n)
-            }
-
-            #[inline]
-            fn powf(self, n: Self) -> Self {
-                <$T>::powf(self, n)
-            }
-
-            #[inline]
-            fn sqrt(self) -> Self {
-                <$T>::sqrt(self)
-            }
-
-            #[inline]
-            fn exp(self) -> Self {
-                <$T>::exp(self)
-            }
-
-            #[inline]
-            fn exp2(self) -> Self {
-                <$T>::exp2(self)
-            }
-
-            #[inline]
-            fn ln(self) -> Self {
-                <$T>::ln(self)
-            }
-
-            #[inline]
-            fn log(self, base: Self) -> Self {
-                <$T>::log(self, base)
-            }
-
-            #[inline]
-            fn log2(self) -> Self {
-                <$T>::log2(self)
-            }
-
-            #[inline]
-            fn log10(self) -> Self {
-                <$T>::log10(self)
-            }
-
-            #[inline]
-            fn to_degrees(self) -> Self {
-                // NB: `f32` didn't stabilize this until 1.7
-                // <$T>::to_degrees(self)
-                self * (180. / ::std::$T::consts::PI)
-            }
-
-            #[inline]
-            fn to_radians(self) -> Self {
-                // NB: `f32` didn't stabilize this until 1.7
-                // <$T>::to_radians(self)
-                self * (::std::$T::consts::PI / 180.)
-            }
-
-            #[inline]
-            fn max(self, other: Self) -> Self {
-                <$T>::max(self, other)
-            }
-
-            #[inline]
-            fn min(self, other: Self) -> Self {
-                <$T>::min(self, other)
+            constant! {
+                nan() -> $T::NAN;
+                infinity() -> $T::INFINITY;
+                neg_infinity() -> $T::NEG_INFINITY;
+                neg_zero() -> -0.0;
+                min_value() -> $T::MIN;
+                min_positive_value() -> $T::MIN_POSITIVE;
+                epsilon() -> $T::EPSILON;
+                max_value() -> $T::MAX;
             }
 
             #[inline]
             #[allow(deprecated)]
             fn abs_sub(self, other: Self) -> Self {
                 <$T>::abs_sub(self, other)
             }
 
             #[inline]
-            fn cbrt(self) -> Self {
-                <$T>::cbrt(self)
-            }
-
-            #[inline]
-            fn hypot(self, other: Self) -> Self {
-                <$T>::hypot(self, other)
-            }
-
-            #[inline]
-            fn sin(self) -> Self {
-                <$T>::sin(self)
-            }
-
-            #[inline]
-            fn cos(self) -> Self {
-                <$T>::cos(self)
-            }
-
-            #[inline]
-            fn tan(self) -> Self {
-                <$T>::tan(self)
-            }
-
-            #[inline]
-            fn asin(self) -> Self {
-                <$T>::asin(self)
-            }
-
-            #[inline]
-            fn acos(self) -> Self {
-                <$T>::acos(self)
-            }
-
-            #[inline]
-            fn atan(self) -> Self {
-                <$T>::atan(self)
-            }
-
-            #[inline]
-            fn atan2(self, other: Self) -> Self {
-                <$T>::atan2(self, other)
-            }
-
-            #[inline]
-            fn sin_cos(self) -> (Self, Self) {
-                <$T>::sin_cos(self)
-            }
-
-            #[inline]
-            fn exp_m1(self) -> Self {
-                <$T>::exp_m1(self)
-            }
-
-            #[inline]
-            fn ln_1p(self) -> Self {
-                <$T>::ln_1p(self)
-            }
-
-            #[inline]
-            fn sinh(self) -> Self {
-                <$T>::sinh(self)
-            }
-
-            #[inline]
-            fn cosh(self) -> Self {
-                <$T>::cosh(self)
-            }
-
-            #[inline]
-            fn tanh(self) -> Self {
-                <$T>::tanh(self)
-            }
-
-            #[inline]
-            fn asinh(self) -> Self {
-                <$T>::asinh(self)
-            }
-
-            #[inline]
-            fn acosh(self) -> Self {
-                <$T>::acosh(self)
-            }
-
-            #[inline]
-            fn atanh(self) -> Self {
-                <$T>::atanh(self)
-            }
-
-            #[inline]
             fn integer_decode(self) -> (u64, i16, i8) {
                 $decode(self)
             }
+
+            forward! {
+                Self::is_nan(self) -> bool;
+                Self::is_infinite(self) -> bool;
+                Self::is_finite(self) -> bool;
+                Self::is_normal(self) -> bool;
+                Self::classify(self) -> FpCategory;
+                Self::floor(self) -> Self;
+                Self::ceil(self) -> Self;
+                Self::round(self) -> Self;
+                Self::trunc(self) -> Self;
+                Self::fract(self) -> Self;
+                Self::abs(self) -> Self;
+                Self::signum(self) -> Self;
+                Self::is_sign_positive(self) -> bool;
+                Self::is_sign_negative(self) -> bool;
+                Self::mul_add(self, a: Self, b: Self) -> Self;
+                Self::recip(self) -> Self;
+                Self::powi(self, n: i32) -> Self;
+                Self::powf(self, n: Self) -> Self;
+                Self::sqrt(self) -> Self;
+                Self::exp(self) -> Self;
+                Self::exp2(self) -> Self;
+                Self::ln(self) -> Self;
+                Self::log(self, base: Self) -> Self;
+                Self::log2(self) -> Self;
+                Self::log10(self) -> Self;
+                Self::to_degrees(self) -> Self;
+                Self::to_radians(self) -> Self;
+                Self::max(self, other: Self) -> Self;
+                Self::min(self, other: Self) -> Self;
+                Self::cbrt(self) -> Self;
+                Self::hypot(self, other: Self) -> Self;
+                Self::sin(self) -> Self;
+                Self::cos(self) -> Self;
+                Self::tan(self) -> Self;
+                Self::asin(self) -> Self;
+                Self::acos(self) -> Self;
+                Self::atan(self) -> Self;
+                Self::atan2(self, other: Self) -> Self;
+                Self::sin_cos(self) -> (Self, Self);
+                Self::exp_m1(self) -> Self;
+                Self::ln_1p(self) -> Self;
+                Self::sinh(self) -> Self;
+                Self::cosh(self) -> Self;
+                Self::tanh(self) -> Self;
+                Self::asinh(self) -> Self;
+                Self::acosh(self) -> Self;
+                Self::atanh(self) -> Self;
+            }
+
+            #[cfg(has_copysign)]
+            #[inline]
+            fn copysign(self, sign: Self) -> Self {
+                Self::copysign(self, sign)
+            }
         }
-    )
+    };
 }
 
-#[cfg(feature = "std")]
+#[cfg(all(not(feature = "std"), feature = "libm"))]
+macro_rules! float_impl_libm {
+    ($T:ident $decode:ident) => {
+        constant! {
+            nan() -> $T::NAN;
+            infinity() -> $T::INFINITY;
+            neg_infinity() -> $T::NEG_INFINITY;
+            neg_zero() -> -0.0;
+            min_value() -> $T::MIN;
+            min_positive_value() -> $T::MIN_POSITIVE;
+            epsilon() -> $T::EPSILON;
+            max_value() -> $T::MAX;
+        }
+
+        #[inline]
+        fn integer_decode(self) -> (u64, i16, i8) {
+            $decode(self)
+        }
+
+        #[inline]
+        fn fract(self) -> Self {
+            self - Float::trunc(self)
+        }
+
+        #[inline]
+        fn log(self, base: Self) -> Self {
+            self.ln() / base.ln()
+        }
+
+        forward! {
+            FloatCore::is_nan(self) -> bool;
+            FloatCore::is_infinite(self) -> bool;
+            FloatCore::is_finite(self) -> bool;
+            FloatCore::is_normal(self) -> bool;
+            FloatCore::classify(self) -> FpCategory;
+            FloatCore::signum(self) -> Self;
+            FloatCore::is_sign_positive(self) -> bool;
+            FloatCore::is_sign_negative(self) -> bool;
+            FloatCore::recip(self) -> Self;
+            FloatCore::powi(self, n: i32) -> Self;
+            FloatCore::to_degrees(self) -> Self;
+            FloatCore::to_radians(self) -> Self;
+        }
+    };
+}
+
 fn integer_decode_f32(f: f32) -> (u64, i16, i8) {
+    // Safety: this identical to the implementation of f32::to_bits(),
+    // which is only available starting at Rust 1.20
     let bits: u32 = unsafe { mem::transmute(f) };
-    let sign: i8 = if bits >> 31 == 0 {
-        1
-    } else {
-        -1
-    };
+    let sign: i8 = if bits >> 31 == 0 { 1 } else { -1 };
     let mut exponent: i16 = ((bits >> 23) & 0xff) as i16;
     let mantissa = if exponent == 0 {
         (bits & 0x7fffff) << 1
     } else {
         (bits & 0x7fffff) | 0x800000
     };
     // Exponent bias + mantissa shift
     exponent -= 127 + 23;
     (mantissa as u64, exponent, sign)
 }
 
-#[cfg(feature = "std")]
 fn integer_decode_f64(f: f64) -> (u64, i16, i8) {
+    // Safety: this identical to the implementation of f64::to_bits(),
+    // which is only available starting at Rust 1.20
     let bits: u64 = unsafe { mem::transmute(f) };
-    let sign: i8 = if bits >> 63 == 0 {
-        1
-    } else {
-        -1
-    };
+    let sign: i8 = if bits >> 63 == 0 { 1 } else { -1 };
     let mut exponent: i16 = ((bits >> 52) & 0x7ff) as i16;
     let mantissa = if exponent == 0 {
         (bits & 0xfffffffffffff) << 1
     } else {
         (bits & 0xfffffffffffff) | 0x10000000000000
     };
     // Exponent bias + mantissa shift
     exponent -= 1023 + 52;
     (mantissa, exponent, sign)
 }
 
 #[cfg(feature = "std")]
-float_impl!(f32 integer_decode_f32);
+float_impl_std!(f32 integer_decode_f32);
 #[cfg(feature = "std")]
-float_impl!(f64 integer_decode_f64);
+float_impl_std!(f64 integer_decode_f64);
+
+#[cfg(all(not(feature = "std"), feature = "libm"))]
+impl Float for f32 {
+    float_impl_libm!(f32 integer_decode_f32);
+
+    #[inline]
+    #[allow(deprecated)]
+    fn abs_sub(self, other: Self) -> Self {
+        libm::fdimf(self, other)
+    }
+
+    forward! {
+        libm::floorf as floor(self) -> Self;
+        libm::ceilf as ceil(self) -> Self;
+        libm::roundf as round(self) -> Self;
+        libm::truncf as trunc(self) -> Self;
+        libm::fabsf as abs(self) -> Self;
+        libm::fmaf as mul_add(self, a: Self, b: Self) -> Self;
+        libm::powf as powf(self, n: Self) -> Self;
+        libm::sqrtf as sqrt(self) -> Self;
+        libm::expf as exp(self) -> Self;
+        libm::exp2f as exp2(self) -> Self;
+        libm::logf as ln(self) -> Self;
+        libm::log2f as log2(self) -> Self;
+        libm::log10f as log10(self) -> Self;
+        libm::cbrtf as cbrt(self) -> Self;
+        libm::hypotf as hypot(self, other: Self) -> Self;
+        libm::sinf as sin(self) -> Self;
+        libm::cosf as cos(self) -> Self;
+        libm::tanf as tan(self) -> Self;
+        libm::asinf as asin(self) -> Self;
+        libm::acosf as acos(self) -> Self;
+        libm::atanf as atan(self) -> Self;
+        libm::atan2f as atan2(self, other: Self) -> Self;
+        libm::sincosf as sin_cos(self) -> (Self, Self);
+        libm::expm1f as exp_m1(self) -> Self;
+        libm::log1pf as ln_1p(self) -> Self;
+        libm::sinhf as sinh(self) -> Self;
+        libm::coshf as cosh(self) -> Self;
+        libm::tanhf as tanh(self) -> Self;
+        libm::asinhf as asinh(self) -> Self;
+        libm::acoshf as acosh(self) -> Self;
+        libm::atanhf as atanh(self) -> Self;
+        libm::fmaxf as max(self, other: Self) -> Self;
+        libm::fminf as min(self, other: Self) -> Self;
+        libm::copysignf as copysign(self, other: Self) -> Self;
+    }
+}
+
+#[cfg(all(not(feature = "std"), feature = "libm"))]
+impl Float for f64 {
+    float_impl_libm!(f64 integer_decode_f64);
+
+    #[inline]
+    #[allow(deprecated)]
+    fn abs_sub(self, other: Self) -> Self {
+        libm::fdim(self, other)
+    }
+
+    forward! {
+        libm::floor as floor(self) -> Self;
+        libm::ceil as ceil(self) -> Self;
+        libm::round as round(self) -> Self;
+        libm::trunc as trunc(self) -> Self;
+        libm::fabs as abs(self) -> Self;
+        libm::fma as mul_add(self, a: Self, b: Self) -> Self;
+        libm::pow as powf(self, n: Self) -> Self;
+        libm::sqrt as sqrt(self) -> Self;
+        libm::exp as exp(self) -> Self;
+        libm::exp2 as exp2(self) -> Self;
+        libm::log as ln(self) -> Self;
+        libm::log2 as log2(self) -> Self;
+        libm::log10 as log10(self) -> Self;
+        libm::cbrt as cbrt(self) -> Self;
+        libm::hypot as hypot(self, other: Self) -> Self;
+        libm::sin as sin(self) -> Self;
+        libm::cos as cos(self) -> Self;
+        libm::tan as tan(self) -> Self;
+        libm::asin as asin(self) -> Self;
+        libm::acos as acos(self) -> Self;
+        libm::atan as atan(self) -> Self;
+        libm::atan2 as atan2(self, other: Self) -> Self;
+        libm::sincos as sin_cos(self) -> (Self, Self);
+        libm::expm1 as exp_m1(self) -> Self;
+        libm::log1p as ln_1p(self) -> Self;
+        libm::sinh as sinh(self) -> Self;
+        libm::cosh as cosh(self) -> Self;
+        libm::tanh as tanh(self) -> Self;
+        libm::asinh as asinh(self) -> Self;
+        libm::acosh as acosh(self) -> Self;
+        libm::atanh as atanh(self) -> Self;
+        libm::fmax as max(self, other: Self) -> Self;
+        libm::fmin as min(self, other: Self) -> Self;
+        libm::copysign as copysign(self, sign: Self) -> Self;
+    }
+}
 
 macro_rules! float_const_impl {
     ($(#[$doc:meta] $constant:ident,)+) => (
         #[allow(non_snake_case)]
         pub trait FloatConst {
             $(#[$doc] fn $constant() -> Self;)+
+            #[doc = "Return the full circle constant `τ`."]
+            #[inline]
+            fn TAU() -> Self where Self: Sized + Add<Self, Output = Self> {
+                Self::PI() + Self::PI()
+            }
+            #[doc = "Return `log10(2.0)`."]
+            #[inline]
+            fn LOG10_2() -> Self where Self: Sized + Div<Self, Output = Self> {
+                Self::LN_2() / Self::LN_10()
+            }
+            #[doc = "Return `log2(10.0)`."]
+            #[inline]
+            fn LOG2_10() -> Self where Self: Sized + Div<Self, Output = Self> {
+                Self::LN_10() / Self::LN_2()
+            }
         }
         float_const_impl! { @float f32, $($constant,)+ }
         float_const_impl! { @float f64, $($constant,)+ }
     );
     (@float $T:ident, $($constant:ident,)+) => (
         impl FloatConst for $T {
-            $(
-                #[inline]
-                fn $constant() -> Self {
-                    ::core::$T::consts::$constant
-                }
-            )+
+            constant! {
+                $( $constant() -> $T::consts::$constant; )+
+                TAU() -> 6.28318530717958647692528676655900577;
+                LOG10_2() -> 0.301029995663981195213738894724493027;
+                LOG2_10() -> 3.32192809488736234787031942948939018;
+            }
         }
     );
 }
 
 float_const_impl! {
     #[doc = "Return Euler’s number."]
     E,
     #[doc = "Return `1.0 / π`."]
@@ -1317,42 +2217,135 @@ float_const_impl! {
     #[doc = "Return `ln(10.0)`."]
     LN_10,
     #[doc = "Return `ln(2.0)`."]
     LN_2,
     #[doc = "Return `log10(e)`."]
     LOG10_E,
     #[doc = "Return `log2(e)`."]
     LOG2_E,
-    #[doc = "Return Archimedes’ constant."]
+    #[doc = "Return Archimedes’ constant `π`."]
     PI,
     #[doc = "Return `sqrt(2.0)`."]
     SQRT_2,
 }
 
-#[cfg(all(test, feature = "std"))]
+#[cfg(test)]
 mod tests {
-    use Float;
+    use core::f64::consts;
+
+    const DEG_RAD_PAIRS: [(f64, f64); 7] = [
+        (0.0, 0.),
+        (22.5, consts::FRAC_PI_8),
+        (30.0, consts::FRAC_PI_6),
+        (45.0, consts::FRAC_PI_4),
+        (60.0, consts::FRAC_PI_3),
+        (90.0, consts::FRAC_PI_2),
+        (180.0, consts::PI),
+    ];
 
     #[test]
     fn convert_deg_rad() {
-        use core::f64::consts;
-
-        const DEG_RAD_PAIRS: [(f64, f64); 7] = [
-            (0.0, 0.),
-            (22.5, consts::FRAC_PI_8),
-            (30.0, consts::FRAC_PI_6),
-            (45.0, consts::FRAC_PI_4),
-            (60.0, consts::FRAC_PI_3),
-            (90.0, consts::FRAC_PI_2),
-            (180.0, consts::PI),
-        ];
+        use float::FloatCore;
 
         for &(deg, rad) in &DEG_RAD_PAIRS {
+            assert!((FloatCore::to_degrees(rad) - deg).abs() < 1e-6);
+            assert!((FloatCore::to_radians(deg) - rad).abs() < 1e-6);
+
+            let (deg, rad) = (deg as f32, rad as f32);
+            assert!((FloatCore::to_degrees(rad) - deg).abs() < 1e-5);
+            assert!((FloatCore::to_radians(deg) - rad).abs() < 1e-5);
+        }
+    }
+
+    #[cfg(any(feature = "std", feature = "libm"))]
+    #[test]
+    fn convert_deg_rad_std() {
+        for &(deg, rad) in &DEG_RAD_PAIRS {
+            use Float;
+
             assert!((Float::to_degrees(rad) - deg).abs() < 1e-6);
             assert!((Float::to_radians(deg) - rad).abs() < 1e-6);
 
             let (deg, rad) = (deg as f32, rad as f32);
-            assert!((Float::to_degrees(rad) - deg).abs() < 1e-6);
-            assert!((Float::to_radians(deg) - rad).abs() < 1e-6);
+            assert!((Float::to_degrees(rad) - deg).abs() < 1e-5);
+            assert!((Float::to_radians(deg) - rad).abs() < 1e-5);
         }
     }
+
+    #[test]
+    // This fails with the forwarded `std` implementation in Rust 1.8.
+    // To avoid the failure, the test is limited to `no_std` builds.
+    #[cfg(not(feature = "std"))]
+    fn to_degrees_rounding() {
+        use float::FloatCore;
+
+        assert_eq!(
+            FloatCore::to_degrees(1_f32),
+            57.2957795130823208767981548141051703
+        );
+    }
+
+    #[test]
+    #[cfg(any(feature = "std", feature = "libm"))]
+    fn extra_logs() {
+        use float::{Float, FloatConst};
+
+        fn check<F: Float + FloatConst>(diff: F) {
+            let _2 = F::from(2.0).unwrap();
+            assert!((F::LOG10_2() - F::log10(_2)).abs() < diff);
+            assert!((F::LOG10_2() - F::LN_2() / F::LN_10()).abs() < diff);
+
+            let _10 = F::from(10.0).unwrap();
+            assert!((F::LOG2_10() - F::log2(_10)).abs() < diff);
+            assert!((F::LOG2_10() - F::LN_10() / F::LN_2()).abs() < diff);
+        }
+
+        check::<f32>(1e-6);
+        check::<f64>(1e-12);
+    }
+
+    #[test]
+    #[cfg(any(feature = "std", feature = "libm"))]
+    fn copysign() {
+        use float::Float;
+        test_copysign_generic(2.0_f32, -2.0_f32, f32::nan());
+        test_copysign_generic(2.0_f64, -2.0_f64, f64::nan());
+        test_copysignf(2.0_f32, -2.0_f32, f32::nan());
+    }
+
+    #[cfg(any(feature = "std", feature = "libm"))]
+    fn test_copysignf(p: f32, n: f32, nan: f32) {
+        use core::ops::Neg;
+        use float::Float;
+
+        assert!(p.is_sign_positive());
+        assert!(n.is_sign_negative());
+        assert!(nan.is_nan());
+
+        assert_eq!(p, Float::copysign(p, p));
+        assert_eq!(p.neg(), Float::copysign(p, n));
+
+        assert_eq!(n, Float::copysign(n, n));
+        assert_eq!(n.neg(), Float::copysign(n, p));
+
+        // FIXME: is_sign... only works on NaN starting in Rust 1.20
+        // assert!(Float::copysign(nan, p).is_sign_positive());
+        // assert!(Float::copysign(nan, n).is_sign_negative());
+    }
+
+    #[cfg(any(feature = "std", feature = "libm"))]
+    fn test_copysign_generic<F: ::float::Float + ::core::fmt::Debug>(p: F, n: F, nan: F) {
+        assert!(p.is_sign_positive());
+        assert!(n.is_sign_negative());
+        assert!(nan.is_nan());
+
+        assert_eq!(p, p.copysign(p));
+        assert_eq!(p.neg(), p.copysign(n));
+
+        assert_eq!(n, n.copysign(n));
+        assert_eq!(n.neg(), n.copysign(p));
+
+        // FIXME: is_sign... only works on NaN starting in Rust 1.20
+        // assert!(nan.copysign(p).is_sign_positive());
+        // assert!(nan.copysign(n).is_sign_negative());
+    }
 }
diff --git a/third_party/rust/num-traits/src/identities.rs b/third_party/rust/num-traits/src/identities.rs
--- a/third_party/rust/num-traits/src/identities.rs
+++ b/third_party/rust/num-traits/src/identities.rs
@@ -1,129 +1,187 @@
+use core::num::Wrapping;
 use core::ops::{Add, Mul};
-use core::num::Wrapping;
 
 /// Defines an additive identity element for `Self`.
+///
+/// # Laws
+///
+/// ```{.text}
+/// a + 0 = a       ∀ a ∈ Self
+/// 0 + a = a       ∀ a ∈ Self
+/// ```
 pub trait Zero: Sized + Add<Self, Output = Self> {
     /// Returns the additive identity element of `Self`, `0`.
-    ///
-    /// # Laws
-    ///
-    /// ```{.text}
-    /// a + 0 = a       ∀ a ∈ Self
-    /// 0 + a = a       ∀ a ∈ Self
-    /// ```
-    ///
     /// # Purity
     ///
     /// This function should return the same result at all times regardless of
     /// external mutable state, for example values stored in TLS or in
     /// `static mut`s.
-    // FIXME (#5527): This should be an associated constant
+    // This cannot be an associated constant, because of bignums.
     fn zero() -> Self;
 
+    /// Sets `self` to the additive identity element of `Self`, `0`.
+    fn set_zero(&mut self) {
+        *self = Zero::zero();
+    }
+
     /// Returns `true` if `self` is equal to the additive identity.
-    #[inline]
     fn is_zero(&self) -> bool;
 }
 
 macro_rules! zero_impl {
     ($t:ty, $v:expr) => {
         impl Zero for $t {
             #[inline]
-            fn zero() -> $t { $v }
+            fn zero() -> $t {
+                $v
+            }
             #[inline]
-            fn is_zero(&self) -> bool { *self == $v }
+            fn is_zero(&self) -> bool {
+                *self == $v
+            }
         }
-    }
+    };
 }
 
-zero_impl!(usize, 0usize);
-zero_impl!(u8,    0u8);
-zero_impl!(u16,   0u16);
-zero_impl!(u32,   0u32);
-zero_impl!(u64,   0u64);
+zero_impl!(usize, 0);
+zero_impl!(u8, 0);
+zero_impl!(u16, 0);
+zero_impl!(u32, 0);
+zero_impl!(u64, 0);
+#[cfg(has_i128)]
+zero_impl!(u128, 0);
 
-zero_impl!(isize, 0isize);
-zero_impl!(i8,    0i8);
-zero_impl!(i16,   0i16);
-zero_impl!(i32,   0i32);
-zero_impl!(i64,   0i64);
+zero_impl!(isize, 0);
+zero_impl!(i8, 0);
+zero_impl!(i16, 0);
+zero_impl!(i32, 0);
+zero_impl!(i64, 0);
+#[cfg(has_i128)]
+zero_impl!(i128, 0);
 
-zero_impl!(f32, 0.0f32);
-zero_impl!(f64, 0.0f64);
+zero_impl!(f32, 0.0);
+zero_impl!(f64, 0.0);
 
-impl<T: Zero> Zero for Wrapping<T> where Wrapping<T>: Add<Output=Wrapping<T>> {
+impl<T: Zero> Zero for Wrapping<T>
+where
+    Wrapping<T>: Add<Output = Wrapping<T>>,
+{
     fn is_zero(&self) -> bool {
         self.0.is_zero()
     }
+
+    fn set_zero(&mut self) {
+        self.0.set_zero();
+    }
+
     fn zero() -> Self {
         Wrapping(T::zero())
     }
 }
 
-
 /// Defines a multiplicative identity element for `Self`.
+///
+/// # Laws
+///
+/// ```{.text}
+/// a * 1 = a       ∀ a ∈ Self
+/// 1 * a = a       ∀ a ∈ Self
+/// ```
 pub trait One: Sized + Mul<Self, Output = Self> {
     /// Returns the multiplicative identity element of `Self`, `1`.
     ///
-    /// # Laws
-    ///
-    /// ```{.text}
-    /// a * 1 = a       ∀ a ∈ Self
-    /// 1 * a = a       ∀ a ∈ Self
-    /// ```
-    ///
     /// # Purity
     ///
     /// This function should return the same result at all times regardless of
     /// external mutable state, for example values stored in TLS or in
     /// `static mut`s.
-    // FIXME (#5527): This should be an associated constant
+    // This cannot be an associated constant, because of bignums.
     fn one() -> Self;
+
+    /// Sets `self` to the multiplicative identity element of `Self`, `1`.
+    fn set_one(&mut self) {
+        *self = One::one();
+    }
+
+    /// Returns `true` if `self` is equal to the multiplicative identity.
+    ///
+    /// For performance reasons, it's best to implement this manually.
+    /// After a semver bump, this method will be required, and the
+    /// `where Self: PartialEq` bound will be removed.
+    #[inline]
+    fn is_one(&self) -> bool
+    where
+        Self: PartialEq,
+    {
+        *self == Self::one()
+    }
 }
 
 macro_rules! one_impl {
     ($t:ty, $v:expr) => {
         impl One for $t {
             #[inline]
-            fn one() -> $t { $v }
+            fn one() -> $t {
+                $v
+            }
+            #[inline]
+            fn is_one(&self) -> bool {
+                *self == $v
+            }
         }
-    }
+    };
 }
 
-one_impl!(usize, 1usize);
-one_impl!(u8,    1u8);
-one_impl!(u16,   1u16);
-one_impl!(u32,   1u32);
-one_impl!(u64,   1u64);
+one_impl!(usize, 1);
+one_impl!(u8, 1);
+one_impl!(u16, 1);
+one_impl!(u32, 1);
+one_impl!(u64, 1);
+#[cfg(has_i128)]
+one_impl!(u128, 1);
 
-one_impl!(isize, 1isize);
-one_impl!(i8,    1i8);
-one_impl!(i16,   1i16);
-one_impl!(i32,   1i32);
-one_impl!(i64,   1i64);
+one_impl!(isize, 1);
+one_impl!(i8, 1);
+one_impl!(i16, 1);
+one_impl!(i32, 1);
+one_impl!(i64, 1);
+#[cfg(has_i128)]
+one_impl!(i128, 1);
 
-one_impl!(f32, 1.0f32);
-one_impl!(f64, 1.0f64);
+one_impl!(f32, 1.0);
+one_impl!(f64, 1.0);
 
-impl<T: One> One for Wrapping<T> where Wrapping<T>: Mul<Output=Wrapping<T>> {
+impl<T: One> One for Wrapping<T>
+where
+    Wrapping<T>: Mul<Output = Wrapping<T>>,
+{
+    fn set_one(&mut self) {
+        self.0.set_one();
+    }
+
     fn one() -> Self {
         Wrapping(T::one())
     }
 }
 
 // Some helper functions provided for backwards compatibility.
 
 /// Returns the additive identity, `0`.
-#[inline(always)] pub fn zero<T: Zero>() -> T { Zero::zero() }
+#[inline(always)]
+pub fn zero<T: Zero>() -> T {
+    Zero::zero()
+}
 
 /// Returns the multiplicative identity, `1`.
-#[inline(always)] pub fn one<T: One>() -> T { One::one() }
-
+#[inline(always)]
+pub fn one<T: One>() -> T {
+    One::one()
+}
 
 #[test]
 fn wrapping_identities() {
     macro_rules! test_wrapping_identities {
         ($($t:ty)+) => {
             $(
                 assert_eq!(zero::<$t>(), zero::<Wrapping<$t>>().0);
                 assert_eq!(one::<$t>(), one::<Wrapping<$t>>().0);
diff --git a/third_party/rust/num-traits/src/int.rs b/third_party/rust/num-traits/src/int.rs
--- a/third_party/rust/num-traits/src/int.rs
+++ b/third_party/rust/num-traits/src/int.rs
@@ -1,31 +1,60 @@
-use core::ops::{Not, BitAnd, BitOr, BitXor, Shl, Shr};
+use core::ops::{BitAnd, BitOr, BitXor, Not, Shl, Shr};
 
-use {Num, NumCast};
 use bounds::Bounded;
 use ops::checked::*;
 use ops::saturating::Saturating;
+use {Num, NumCast};
 
-pub trait PrimInt
-    : Sized
+/// Generic trait for primitive integers.
+///
+/// The `PrimInt` trait is an abstraction over the builtin primitive integer types (e.g., `u8`,
+/// `u32`, `isize`, `i128`, ...). It inherits the basic numeric traits and extends them with
+/// bitwise operators and non-wrapping arithmetic.
+///
+/// The trait explicitly inherits `Copy`, `Eq`, `Ord`, and `Sized`. The intention is that all
+/// types implementing this trait behave like primitive types that are passed by value by default
+/// and behave like builtin integers. Furthermore, the types are expected to expose the integer
+/// value in binary representation and support bitwise operators. The standard bitwise operations
+/// (e.g., bitwise-and, bitwise-or, right-shift, left-shift) are inherited and the trait extends
+/// these with introspective queries (e.g., `PrimInt::count_ones()`, `PrimInt::leading_zeros()`),
+/// bitwise combinators (e.g., `PrimInt::rotate_left()`), and endianness converters (e.g.,
+/// `PrimInt::to_be()`).
+///
+/// All `PrimInt` types are expected to be fixed-width binary integers. The width can be queried
+/// via `T::zero().count_zeros()`. The trait currently lacks a way to query the width at
+/// compile-time.
+///
+/// While a default implementation for all builtin primitive integers is provided, the trait is in
+/// no way restricted to these. Other integer types that fulfil the requirements are free to
+/// implement the trait was well.
+///
+/// This trait and many of the method names originate in the unstable `core::num::Int` trait from
+/// the rust standard library. The original trait was never stabilized and thus removed from the
+/// standard library.
+pub trait PrimInt:
+    Sized
     + Copy
-    + Num + NumCast
+    + Num
+    + NumCast
     + Bounded
-    + PartialOrd + Ord + Eq
-    + Not<Output=Self>
-    + BitAnd<Output=Self>
-    + BitOr<Output=Self>
-    + BitXor<Output=Self>
-    + Shl<usize, Output=Self>
-    + Shr<usize, Output=Self>
-    + CheckedAdd<Output=Self>
-    + CheckedSub<Output=Self>
-    + CheckedMul<Output=Self>
-    + CheckedDiv<Output=Self>
+    + PartialOrd
+    + Ord
+    + Eq
+    + Not<Output = Self>
+    + BitAnd<Output = Self>
+    + BitOr<Output = Self>
+    + BitXor<Output = Self>
+    + Shl<usize, Output = Self>
+    + Shr<usize, Output = Self>
+    + CheckedAdd<Output = Self>
+    + CheckedSub<Output = Self>
+    + CheckedMul<Output = Self>
+    + CheckedDiv<Output = Self>
     + Saturating
 {
     /// Returns the number of ones in the binary representation of `self`.
     ///
     /// # Examples
     ///
     /// ```
     /// use num_traits::PrimInt;
@@ -44,139 +73,171 @@ pub trait PrimInt
     /// use num_traits::PrimInt;
     ///
     /// let n = 0b01001100u8;
     ///
     /// assert_eq!(n.count_zeros(), 5);
     /// ```
     fn count_zeros(self) -> u32;
 
+    /// Returns the number of leading ones in the binary representation
+    /// of `self`.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::PrimInt;
+    ///
+    /// let n = 0xF00Du16;
+    ///
+    /// assert_eq!(n.leading_ones(), 4);
+    /// ```
+    fn leading_ones(self) -> u32 {
+        (!self).leading_zeros()
+    }
+
     /// Returns the number of leading zeros in the binary representation
     /// of `self`.
     ///
     /// # Examples
     ///
     /// ```
     /// use num_traits::PrimInt;
     ///
     /// let n = 0b0101000u16;
     ///
     /// assert_eq!(n.leading_zeros(), 10);
     /// ```
     fn leading_zeros(self) -> u32;
 
+    /// Returns the number of trailing ones in the binary representation
+    /// of `self`.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::PrimInt;
+    ///
+    /// let n = 0xBEEFu16;
+    ///
+    /// assert_eq!(n.trailing_ones(), 4);
+    /// ```
+    fn trailing_ones(self) -> u32 {
+        (!self).trailing_zeros()
+    }
+
     /// Returns the number of trailing zeros in the binary representation
     /// of `self`.
     ///
     /// # Examples
     ///
     /// ```
     /// use num_traits::PrimInt;
     ///
     /// let n = 0b0101000u16;
     ///
     /// assert_eq!(n.trailing_zeros(), 3);
     /// ```
     fn trailing_zeros(self) -> u32;
 
-    /// Shifts the bits to the left by a specified amount amount, `n`, wrapping
+    /// Shifts the bits to the left by a specified amount, `n`, wrapping
     /// the truncated bits to the end of the resulting integer.
     ///
     /// # Examples
     ///
     /// ```
     /// use num_traits::PrimInt;
     ///
     /// let n = 0x0123456789ABCDEFu64;
     /// let m = 0x3456789ABCDEF012u64;
     ///
     /// assert_eq!(n.rotate_left(12), m);
     /// ```
     fn rotate_left(self, n: u32) -> Self;
 
-    /// Shifts the bits to the right by a specified amount amount, `n`, wrapping
+    /// Shifts the bits to the right by a specified amount, `n`, wrapping
     /// the truncated bits to the beginning of the resulting integer.
     ///
     /// # Examples
     ///
     /// ```
     /// use num_traits::PrimInt;
     ///
     /// let n = 0x0123456789ABCDEFu64;
     /// let m = 0xDEF0123456789ABCu64;
     ///
     /// assert_eq!(n.rotate_right(12), m);
     /// ```
     fn rotate_right(self, n: u32) -> Self;
 
-    /// Shifts the bits to the left by a specified amount amount, `n`, filling
+    /// Shifts the bits to the left by a specified amount, `n`, filling
     /// zeros in the least significant bits.
     ///
     /// This is bitwise equivalent to signed `Shl`.
     ///
     /// # Examples
     ///
     /// ```
     /// use num_traits::PrimInt;
     ///
     /// let n = 0x0123456789ABCDEFu64;
     /// let m = 0x3456789ABCDEF000u64;
     ///
     /// assert_eq!(n.signed_shl(12), m);
     /// ```
     fn signed_shl(self, n: u32) -> Self;
 
-    /// Shifts the bits to the right by a specified amount amount, `n`, copying
+    /// Shifts the bits to the right by a specified amount, `n`, copying
     /// the "sign bit" in the most significant bits even for unsigned types.
     ///
     /// This is bitwise equivalent to signed `Shr`.
     ///
     /// # Examples
     ///
     /// ```
     /// use num_traits::PrimInt;
     ///
     /// let n = 0xFEDCBA9876543210u64;
     /// let m = 0xFFFFEDCBA9876543u64;
     ///
     /// assert_eq!(n.signed_shr(12), m);
     /// ```
     fn signed_shr(self, n: u32) -> Self;
 
-    /// Shifts the bits to the left by a specified amount amount, `n`, filling
+    /// Shifts the bits to the left by a specified amount, `n`, filling
     /// zeros in the least significant bits.
     ///
     /// This is bitwise equivalent to unsigned `Shl`.
     ///
     /// # Examples
     ///
     /// ```
     /// use num_traits::PrimInt;
     ///
     /// let n = 0x0123456789ABCDEFi64;
     /// let m = 0x3456789ABCDEF000i64;
     ///
     /// assert_eq!(n.unsigned_shl(12), m);
     /// ```
     fn unsigned_shl(self, n: u32) -> Self;
 
-    /// Shifts the bits to the right by a specified amount amount, `n`, filling
+    /// Shifts the bits to the right by a specified amount, `n`, filling
     /// zeros in the most significant bits.
     ///
     /// This is bitwise equivalent to unsigned `Shr`.
     ///
     /// # Examples
     ///
     /// ```
     /// use num_traits::PrimInt;
     ///
-    /// let n = 0xFEDCBA9876543210i64;
-    /// let m = 0x000FEDCBA9876543i64;
+    /// let n = -8i8; // 0b11111000
+    /// let m = 62i8; // 0b00111110
     ///
-    /// assert_eq!(n.unsigned_shr(12), m);
+    /// assert_eq!(n.unsigned_shr(2), m);
     /// ```
     fn unsigned_shr(self, n: u32) -> Self;
 
     /// Reverses the byte order of the integer.
     ///
     /// # Examples
     ///
     /// ```
@@ -184,16 +245,36 @@ pub trait PrimInt
     ///
     /// let n = 0x0123456789ABCDEFu64;
     /// let m = 0xEFCDAB8967452301u64;
     ///
     /// assert_eq!(n.swap_bytes(), m);
     /// ```
     fn swap_bytes(self) -> Self;
 
+    /// Reverses the order of bits in the integer.
+    ///
+    /// The least significant bit becomes the most significant bit, second least-significant bit
+    /// becomes second most-significant bit, etc.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::PrimInt;
+    ///
+    /// let n = 0x12345678u32;
+    /// let m = 0x1e6a2c48u32;
+    ///
+    /// assert_eq!(n.reverse_bits(), m);
+    /// assert_eq!(0u32.reverse_bits(), 0);
+    /// ```
+    fn reverse_bits(self) -> Self {
+        reverse_bits_fallback(self)
+    }
+
     /// Convert an integer from big endian to the target's endianness.
     ///
     /// On big endian this is a no-op. On little endian the bytes are swapped.
     ///
     /// # Examples
     ///
     /// ```
     /// use num_traits::PrimInt;
@@ -272,34 +353,79 @@ pub trait PrimInt
     /// ```
     /// use num_traits::PrimInt;
     ///
     /// assert_eq!(2i32.pow(4), 16);
     /// ```
     fn pow(self, exp: u32) -> Self;
 }
 
+fn one_per_byte<P: PrimInt>() -> P {
+    // i8, u8: return 0x01
+    // i16, u16: return 0x0101 = (0x01 << 8) | 0x01
+    // i32, u32: return 0x01010101 = (0x0101 << 16) | 0x0101
+    // ...
+    let mut ret = P::one();
+    let mut shift = 8;
+    let mut b = ret.count_zeros() >> 3;
+    while b != 0 {
+        ret = (ret << shift) | ret;
+        shift <<= 1;
+        b >>= 1;
+    }
+    ret
+}
+
+fn reverse_bits_fallback<P: PrimInt>(i: P) -> P {
+    let rep_01: P = one_per_byte();
+    let rep_03 = (rep_01 << 1) | rep_01;
+    let rep_05 = (rep_01 << 2) | rep_01;
+    let rep_0f = (rep_03 << 2) | rep_03;
+    let rep_33 = (rep_03 << 4) | rep_03;
+    let rep_55 = (rep_05 << 4) | rep_05;
+
+    // code above only used to determine rep_0f, rep_33, rep_55;
+    // optimizer should be able to do it in compile time
+    let mut ret = i.swap_bytes();
+    ret = ((ret & rep_0f) << 4) | ((ret >> 4) & rep_0f);
+    ret = ((ret & rep_33) << 2) | ((ret >> 2) & rep_33);
+    ret = ((ret & rep_55) << 1) | ((ret >> 1) & rep_55);
+    ret
+}
+
 macro_rules! prim_int_impl {
-    ($T:ty, $S:ty, $U:ty) => (
+    ($T:ty, $S:ty, $U:ty) => {
         impl PrimInt for $T {
             #[inline]
             fn count_ones(self) -> u32 {
                 <$T>::count_ones(self)
             }
 
             #[inline]
             fn count_zeros(self) -> u32 {
                 <$T>::count_zeros(self)
             }
 
+            #[cfg(has_leading_trailing_ones)]
+            #[inline]
+            fn leading_ones(self) -> u32 {
+                <$T>::leading_ones(self)
+            }
+
             #[inline]
             fn leading_zeros(self) -> u32 {
                 <$T>::leading_zeros(self)
             }
 
+            #[cfg(has_leading_trailing_ones)]
+            #[inline]
+            fn trailing_ones(self) -> u32 {
+                <$T>::trailing_ones(self)
+            }
+
             #[inline]
             fn trailing_zeros(self) -> u32 {
                 <$T>::trailing_zeros(self)
             }
 
             #[inline]
             fn rotate_left(self, n: u32) -> Self {
                 <$T>::rotate_left(self, n)
@@ -330,16 +456,22 @@ macro_rules! prim_int_impl {
                 ((self as $U) >> n) as $T
             }
 
             #[inline]
             fn swap_bytes(self) -> Self {
                 <$T>::swap_bytes(self)
             }
 
+            #[cfg(has_reverse_bits)]
+            #[inline]
+            fn reverse_bits(self) -> Self {
+                <$T>::reverse_bits(self)
+            }
+
             #[inline]
             fn from_be(x: Self) -> Self {
                 <$T>::from_be(x)
             }
 
             #[inline]
             fn from_le(x: Self) -> Self {
                 <$T>::from_le(x)
@@ -355,22 +487,82 @@ macro_rules! prim_int_impl {
                 <$T>::to_le(self)
             }
 
             #[inline]
             fn pow(self, exp: u32) -> Self {
                 <$T>::pow(self, exp)
             }
         }
-    )
+    };
 }
 
 // prim_int_impl!(type, signed, unsigned);
-prim_int_impl!(u8,    i8,    u8);
-prim_int_impl!(u16,   i16,   u16);
-prim_int_impl!(u32,   i32,   u32);
-prim_int_impl!(u64,   i64,   u64);
+prim_int_impl!(u8, i8, u8);
+prim_int_impl!(u16, i16, u16);
+prim_int_impl!(u32, i32, u32);
+prim_int_impl!(u64, i64, u64);
+#[cfg(has_i128)]
+prim_int_impl!(u128, i128, u128);
 prim_int_impl!(usize, isize, usize);
-prim_int_impl!(i8,    i8,    u8);
-prim_int_impl!(i16,   i16,   u16);
-prim_int_impl!(i32,   i32,   u32);
-prim_int_impl!(i64,   i64,   u64);
+prim_int_impl!(i8, i8, u8);
+prim_int_impl!(i16, i16, u16);
+prim_int_impl!(i32, i32, u32);
+prim_int_impl!(i64, i64, u64);
+#[cfg(has_i128)]
+prim_int_impl!(i128, i128, u128);
 prim_int_impl!(isize, isize, usize);
+
+#[cfg(test)]
+mod tests {
+    use int::PrimInt;
+
+    #[test]
+    pub fn reverse_bits() {
+        use core::{i16, i32, i64, i8};
+
+        assert_eq!(
+            PrimInt::reverse_bits(0x0123_4567_89ab_cdefu64),
+            0xf7b3_d591_e6a2_c480
+        );
+
+        assert_eq!(PrimInt::reverse_bits(0i8), 0);
+        assert_eq!(PrimInt::reverse_bits(-1i8), -1);
+        assert_eq!(PrimInt::reverse_bits(1i8), i8::MIN);
+        assert_eq!(PrimInt::reverse_bits(i8::MIN), 1);
+        assert_eq!(PrimInt::reverse_bits(-2i8), i8::MAX);
+        assert_eq!(PrimInt::reverse_bits(i8::MAX), -2);
+
+        assert_eq!(PrimInt::reverse_bits(0i16), 0);
+        assert_eq!(PrimInt::reverse_bits(-1i16), -1);
+        assert_eq!(PrimInt::reverse_bits(1i16), i16::MIN);
+        assert_eq!(PrimInt::reverse_bits(i16::MIN), 1);
+        assert_eq!(PrimInt::reverse_bits(-2i16), i16::MAX);
+        assert_eq!(PrimInt::reverse_bits(i16::MAX), -2);
+
+        assert_eq!(PrimInt::reverse_bits(0i32), 0);
+        assert_eq!(PrimInt::reverse_bits(-1i32), -1);
+        assert_eq!(PrimInt::reverse_bits(1i32), i32::MIN);
+        assert_eq!(PrimInt::reverse_bits(i32::MIN), 1);
+        assert_eq!(PrimInt::reverse_bits(-2i32), i32::MAX);
+        assert_eq!(PrimInt::reverse_bits(i32::MAX), -2);
+
+        assert_eq!(PrimInt::reverse_bits(0i64), 0);
+        assert_eq!(PrimInt::reverse_bits(-1i64), -1);
+        assert_eq!(PrimInt::reverse_bits(1i64), i64::MIN);
+        assert_eq!(PrimInt::reverse_bits(i64::MIN), 1);
+        assert_eq!(PrimInt::reverse_bits(-2i64), i64::MAX);
+        assert_eq!(PrimInt::reverse_bits(i64::MAX), -2);
+    }
+
+    #[test]
+    #[cfg(has_i128)]
+    pub fn reverse_bits_i128() {
+        use core::i128;
+
+        assert_eq!(PrimInt::reverse_bits(0i128), 0);
+        assert_eq!(PrimInt::reverse_bits(-1i128), -1);
+        assert_eq!(PrimInt::reverse_bits(1i128), i128::MIN);
+        assert_eq!(PrimInt::reverse_bits(i128::MIN), 1);
+        assert_eq!(PrimInt::reverse_bits(-2i128), i128::MAX);
+        assert_eq!(PrimInt::reverse_bits(i128::MAX), -2);
+    }
+}
diff --git a/third_party/rust/num-traits/src/lib.rs b/third_party/rust/num-traits/src/lib.rs
--- a/third_party/rust/num-traits/src/lib.rs
+++ b/third_party/rust/num-traits/src/lib.rs
@@ -10,168 +10,187 @@
 
 //! Numeric traits for generic mathematics
 //!
 //! ## Compatibility
 //!
 //! The `num-traits` crate is tested for rustc 1.8 and greater.
 
 #![doc(html_root_url = "https://docs.rs/num-traits/0.2")]
-
 #![deny(unconditional_recursion)]
-
-#![cfg_attr(not(feature = "std"), no_std)]
+#![no_std]
 #[cfg(feature = "std")]
-extern crate core;
+extern crate std;
 
-use core::ops::{Add, Sub, Mul, Div, Rem};
-use core::ops::{AddAssign, SubAssign, MulAssign, DivAssign, RemAssign};
+// Only `no_std` builds actually use `libm`.
+#[cfg(all(not(feature = "std"), feature = "libm"))]
+extern crate libm;
+
+use core::fmt;
 use core::num::Wrapping;
-use core::fmt;
+use core::ops::{Add, Div, Mul, Rem, Sub};
+use core::ops::{AddAssign, DivAssign, MulAssign, RemAssign, SubAssign};
 
 pub use bounds::Bounded;
-#[cfg(feature = "std")]
+#[cfg(any(feature = "std", feature = "libm"))]
 pub use float::Float;
 pub use float::FloatConst;
-// pub use real::Real; // NOTE: Don't do this, it breaks `use num_traits::*;`.
-pub use identities::{Zero, One, zero, one};
-pub use ops::checked::{CheckedAdd, CheckedSub, CheckedMul, CheckedDiv, CheckedShl, CheckedShr};
-pub use ops::wrapping::{WrappingAdd, WrappingMul, WrappingSub};
-pub use ops::saturating::Saturating;
-pub use sign::{Signed, Unsigned, abs, abs_sub, signum};
-pub use cast::{AsPrimitive, FromPrimitive, ToPrimitive, NumCast, cast};
+// pub use real::{FloatCore, Real}; // NOTE: Don't do this, it breaks `use num_traits::*;`.
+pub use cast::{cast, AsPrimitive, FromPrimitive, NumCast, ToPrimitive};
+pub use identities::{one, zero, One, Zero};
 pub use int::PrimInt;
-pub use pow::{pow, checked_pow};
+pub use ops::checked::{
+    CheckedAdd, CheckedDiv, CheckedMul, CheckedNeg, CheckedRem, CheckedShl, CheckedShr, CheckedSub,
+};
+pub use ops::euclid::{CheckedEuclid, Euclid};
+pub use ops::inv::Inv;
+pub use ops::mul_add::{MulAdd, MulAddAssign};
+pub use ops::saturating::{Saturating, SaturatingAdd, SaturatingMul, SaturatingSub};
+pub use ops::wrapping::{
+    WrappingAdd, WrappingMul, WrappingNeg, WrappingShl, WrappingShr, WrappingSub,
+};
+pub use pow::{checked_pow, pow, Pow};
+pub use sign::{abs, abs_sub, signum, Signed, Unsigned};
 
-pub mod identities;
-pub mod sign;
-pub mod ops;
+#[macro_use]
+mod macros;
+
 pub mod bounds;
+pub mod cast;
 pub mod float;
-#[cfg(feature = "std")]
+pub mod identities;
+pub mod int;
+pub mod ops;
+pub mod pow;
 pub mod real;
-pub mod cast;
-pub mod int;
-pub mod pow;
+pub mod sign;
 
 /// The base trait for numeric types, covering `0` and `1` values,
 /// comparisons, basic numeric operations, and string conversion.
-pub trait Num: PartialEq + Zero + One + NumOps
-{
+pub trait Num: PartialEq + Zero + One + NumOps {
     type FromStrRadixErr;
 
-    /// Convert from a string and radix <= 36.
+    /// Convert from a string and radix (typically `2..=36`).
     ///
     /// # Examples
     ///
     /// ```rust
     /// use num_traits::Num;
     ///
     /// let result = <i32 as Num>::from_str_radix("27", 10);
     /// assert_eq!(result, Ok(27));
     ///
     /// let result = <i32 as Num>::from_str_radix("foo", 10);
     /// assert!(result.is_err());
     /// ```
+    ///
+    /// # Supported radices
+    ///
+    /// The exact range of supported radices is at the discretion of each type implementation. For
+    /// primitive integers, this is implemented by the inherent `from_str_radix` methods in the
+    /// standard library, which **panic** if the radix is not in the range from 2 to 36. The
+    /// implementation in this crate for primitive floats is similar.
+    ///
+    /// For third-party types, it is suggested that implementations should follow suit and at least
+    /// accept `2..=36` without panicking, but an `Err` may be returned for any unsupported radix.
+    /// It's possible that a type might not even support the common radix 10, nor any, if string
+    /// parsing doesn't make sense for that type.
     fn from_str_radix(str: &str, radix: u32) -> Result<Self, Self::FromStrRadixErr>;
 }
 
-/// The trait for types implementing basic numeric operations
+/// Generic trait for types implementing basic numeric operations
 ///
 /// This is automatically implemented for types which implement the operators.
-pub trait NumOps<Rhs = Self, Output = Self>
-    : Add<Rhs, Output = Output>
+pub trait NumOps<Rhs = Self, Output = Self>:
+    Add<Rhs, Output = Output>
     + Sub<Rhs, Output = Output>
     + Mul<Rhs, Output = Output>
     + Div<Rhs, Output = Output>
     + Rem<Rhs, Output = Output>
-{}
+{
+}
 
-impl<T, Rhs, Output> NumOps<Rhs, Output> for T
-where T: Add<Rhs, Output = Output>
-       + Sub<Rhs, Output = Output>
-       + Mul<Rhs, Output = Output>
-       + Div<Rhs, Output = Output>
-       + Rem<Rhs, Output = Output>
-{}
+impl<T, Rhs, Output> NumOps<Rhs, Output> for T where
+    T: Add<Rhs, Output = Output>
+        + Sub<Rhs, Output = Output>
+        + Mul<Rhs, Output = Output>
+        + Div<Rhs, Output = Output>
+        + Rem<Rhs, Output = Output>
+{
+}
 
 /// The trait for `Num` types which also implement numeric operations taking
 /// the second operand by reference.
 ///
 /// This is automatically implemented for types which implement the operators.
 pub trait NumRef: Num + for<'r> NumOps<&'r Self> {}
 impl<T> NumRef for T where T: Num + for<'r> NumOps<&'r T> {}
 
-/// The trait for references which implement numeric operations, taking the
+/// The trait for `Num` references which implement numeric operations, taking the
 /// second operand either by value or by reference.
 ///
-/// This is automatically implemented for types which implement the operators.
+/// This is automatically implemented for all types which implement the operators. It covers
+/// every type implementing the operations though, regardless of it being a reference or
+/// related to `Num`.
 pub trait RefNum<Base>: NumOps<Base, Base> + for<'r> NumOps<&'r Base, Base> {}
 impl<T, Base> RefNum<Base> for T where T: NumOps<Base, Base> + for<'r> NumOps<&'r Base, Base> {}
 
-/// The trait for types implementing numeric assignment operators (like `+=`).
+/// Generic trait for types implementing numeric assignment operators (like `+=`).
 ///
 /// This is automatically implemented for types which implement the operators.
-pub trait NumAssignOps<Rhs = Self>
-    : AddAssign<Rhs>
-    + SubAssign<Rhs>
-    + MulAssign<Rhs>
-    + DivAssign<Rhs>
-    + RemAssign<Rhs>
-{}
+pub trait NumAssignOps<Rhs = Self>:
+    AddAssign<Rhs> + SubAssign<Rhs> + MulAssign<Rhs> + DivAssign<Rhs> + RemAssign<Rhs>
+{
+}
 
-impl<T, Rhs> NumAssignOps<Rhs> for T
-where T: AddAssign<Rhs>
-       + SubAssign<Rhs>
-       + MulAssign<Rhs>
-       + DivAssign<Rhs>
-       + RemAssign<Rhs>
-{}
+impl<T, Rhs> NumAssignOps<Rhs> for T where
+    T: AddAssign<Rhs> + SubAssign<Rhs> + MulAssign<Rhs> + DivAssign<Rhs> + RemAssign<Rhs>
+{
+}
 
 /// The trait for `Num` types which also implement assignment operators.
 ///
 /// This is automatically implemented for types which implement the operators.
 pub trait NumAssign: Num + NumAssignOps {}
 impl<T> NumAssign for T where T: Num + NumAssignOps {}
 
 /// The trait for `NumAssign` types which also implement assignment operations
 /// taking the second operand by reference.
 ///
 /// This is automatically implemented for types which implement the operators.
 pub trait NumAssignRef: NumAssign + for<'r> NumAssignOps<&'r Self> {}
 impl<T> NumAssignRef for T where T: NumAssign + for<'r> NumAssignOps<&'r T> {}
 
-
 macro_rules! int_trait_impl {
     ($name:ident for $($t:ty)*) => ($(
         impl $name for $t {
             type FromStrRadixErr = ::core::num::ParseIntError;
             #[inline]
             fn from_str_radix(s: &str, radix: u32)
                               -> Result<Self, ::core::num::ParseIntError>
             {
                 <$t>::from_str_radix(s, radix)
             }
         }
     )*)
 }
 int_trait_impl!(Num for usize u8 u16 u32 u64 isize i8 i16 i32 i64);
+#[cfg(has_i128)]
+int_trait_impl!(Num for u128 i128);
 
 impl<T: Num> Num for Wrapping<T>
-    where Wrapping<T>:
-          Add<Output = Wrapping<T>> + Sub<Output = Wrapping<T>>
-        + Mul<Output = Wrapping<T>> + Div<Output = Wrapping<T>> + Rem<Output = Wrapping<T>>
+where
+    Wrapping<T>: NumOps,
 {
     type FromStrRadixErr = T::FromStrRadixErr;
     fn from_str_radix(str: &str, radix: u32) -> Result<Self, Self::FromStrRadixErr> {
         T::from_str_radix(str, radix).map(Wrapping)
     }
 }
 
-
 #[derive(Debug)]
 pub enum FloatErrorKind {
     Empty,
     Invalid,
 }
 // FIXME: core::num::ParseFloatError is stable in 1.0, but opaque to us,
 // so there's not really any way for us to reuse it.
 #[derive(Debug)]
@@ -185,40 +204,67 @@ impl fmt::Display for ParseFloatError {
             FloatErrorKind::Empty => "cannot parse float from empty string",
             FloatErrorKind::Invalid => "invalid float literal",
         };
 
         description.fmt(f)
     }
 }
 
+fn str_to_ascii_lower_eq_str(a: &str, b: &str) -> bool {
+    a.len() == b.len()
+        && a.bytes().zip(b.bytes()).all(|(a, b)| {
+            let a_to_ascii_lower = a | (((b'A' <= a && a <= b'Z') as u8) << 5);
+            a_to_ascii_lower == b
+        })
+}
+
 // FIXME: The standard library from_str_radix on floats was deprecated, so we're stuck
 // with this implementation ourselves until we want to make a breaking change.
 // (would have to drop it from `Num` though)
 macro_rules! float_trait_impl {
     ($name:ident for $($t:ident)*) => ($(
         impl $name for $t {
             type FromStrRadixErr = ParseFloatError;
 
             fn from_str_radix(src: &str, radix: u32)
                               -> Result<Self, Self::FromStrRadixErr>
             {
                 use self::FloatErrorKind::*;
                 use self::ParseFloatError as PFE;
 
+                // Special case radix 10 to use more accurate standard library implementation
+                if radix == 10 {
+                    return src.parse().map_err(|_| PFE {
+                        kind: if src.is_empty() { Empty } else { Invalid },
+                    });
+                }
+
                 // Special values
-                match src {
-                    "inf"   => return Ok(core::$t::INFINITY),
-                    "-inf"  => return Ok(core::$t::NEG_INFINITY),
-                    "NaN"   => return Ok(core::$t::NAN),
-                    _       => {},
+                if str_to_ascii_lower_eq_str(src, "inf")
+                    || str_to_ascii_lower_eq_str(src, "infinity")
+                {
+                    return Ok(core::$t::INFINITY);
+                } else if str_to_ascii_lower_eq_str(src, "-inf")
+                    || str_to_ascii_lower_eq_str(src, "-infinity")
+                {
+                    return Ok(core::$t::NEG_INFINITY);
+                } else if str_to_ascii_lower_eq_str(src, "nan") {
+                    return Ok(core::$t::NAN);
+                } else if str_to_ascii_lower_eq_str(src, "-nan") {
+                    return Ok(-core::$t::NAN);
                 }
 
                 fn slice_shift_char(src: &str) -> Option<(char, &str)> {
-                    src.chars().nth(0).map(|ch| (ch, &src[1..]))
+                    let mut chars = src.chars();
+                    if let Some(ch) = chars.next() {
+                        Some((ch, chars.as_str()))
+                    } else {
+                        None
+                    }
                 }
 
                 let (is_positive, src) =  match slice_shift_char(src) {
                     None             => return Err(PFE { kind: Empty }),
                     Some(('-', ""))  => return Err(PFE { kind: Empty }),
                     Some(('-', src)) => (false, src),
                     Some((_, _))     => (true,  src),
                 };
@@ -351,53 +397,166 @@ macro_rules! float_trait_impl {
 }
 float_trait_impl!(Num for f32 f64);
 
 /// A value bounded by a minimum and a maximum
 ///
 ///  If input is less than min then this returns min.
 ///  If input is greater than max then this returns max.
 ///  Otherwise this returns input.
+///
+/// **Panics** in debug mode if `!(min <= max)`.
 #[inline]
 pub fn clamp<T: PartialOrd>(input: T, min: T, max: T) -> T {
     debug_assert!(min <= max, "min must be less than or equal to max");
     if input < min {
         min
     } else if input > max {
         max
     } else {
         input
     }
 }
 
+/// A value bounded by a minimum value
+///
+///  If input is less than min then this returns min.
+///  Otherwise this returns input.
+///  `clamp_min(std::f32::NAN, 1.0)` preserves `NAN` different from `f32::min(std::f32::NAN, 1.0)`.
+///
+/// **Panics** in debug mode if `!(min == min)`. (This occurs if `min` is `NAN`.)
+#[inline]
+pub fn clamp_min<T: PartialOrd>(input: T, min: T) -> T {
+    debug_assert!(min == min, "min must not be NAN");
+    if input < min {
+        min
+    } else {
+        input
+    }
+}
+
+/// A value bounded by a maximum value
+///
+///  If input is greater than max then this returns max.
+///  Otherwise this returns input.
+///  `clamp_max(std::f32::NAN, 1.0)` preserves `NAN` different from `f32::max(std::f32::NAN, 1.0)`.
+///
+/// **Panics** in debug mode if `!(max == max)`. (This occurs if `max` is `NAN`.)
+#[inline]
+pub fn clamp_max<T: PartialOrd>(input: T, max: T) -> T {
+    debug_assert!(max == max, "max must not be NAN");
+    if input > max {
+        max
+    } else {
+        input
+    }
+}
+
 #[test]
 fn clamp_test() {
     // Int test
     assert_eq!(1, clamp(1, -1, 2));
     assert_eq!(-1, clamp(-2, -1, 2));
     assert_eq!(2, clamp(3, -1, 2));
+    assert_eq!(1, clamp_min(1, -1));
+    assert_eq!(-1, clamp_min(-2, -1));
+    assert_eq!(-1, clamp_max(1, -1));
+    assert_eq!(-2, clamp_max(-2, -1));
 
     // Float test
     assert_eq!(1.0, clamp(1.0, -1.0, 2.0));
     assert_eq!(-1.0, clamp(-2.0, -1.0, 2.0));
     assert_eq!(2.0, clamp(3.0, -1.0, 2.0));
+    assert_eq!(1.0, clamp_min(1.0, -1.0));
+    assert_eq!(-1.0, clamp_min(-2.0, -1.0));
+    assert_eq!(-1.0, clamp_max(1.0, -1.0));
+    assert_eq!(-2.0, clamp_max(-2.0, -1.0));
+    assert!(clamp(::core::f32::NAN, -1.0, 1.0).is_nan());
+    assert!(clamp_min(::core::f32::NAN, 1.0).is_nan());
+    assert!(clamp_max(::core::f32::NAN, 1.0).is_nan());
+}
+
+#[test]
+#[should_panic]
+#[cfg(debug_assertions)]
+fn clamp_nan_min() {
+    clamp(0., ::core::f32::NAN, 1.);
+}
+
+#[test]
+#[should_panic]
+#[cfg(debug_assertions)]
+fn clamp_nan_max() {
+    clamp(0., -1., ::core::f32::NAN);
+}
+
+#[test]
+#[should_panic]
+#[cfg(debug_assertions)]
+fn clamp_nan_min_max() {
+    clamp(0., ::core::f32::NAN, ::core::f32::NAN);
+}
+
+#[test]
+#[should_panic]
+#[cfg(debug_assertions)]
+fn clamp_min_nan_min() {
+    clamp_min(0., ::core::f32::NAN);
+}
+
+#[test]
+#[should_panic]
+#[cfg(debug_assertions)]
+fn clamp_max_nan_max() {
+    clamp_max(0., ::core::f32::NAN);
 }
 
 #[test]
 fn from_str_radix_unwrap() {
     // The Result error must impl Debug to allow unwrap()
 
     let i: i32 = Num::from_str_radix("0", 10).unwrap();
     assert_eq!(i, 0);
 
     let f: f32 = Num::from_str_radix("0.0", 10).unwrap();
     assert_eq!(f, 0.0);
 }
 
 #[test]
+fn from_str_radix_multi_byte_fail() {
+    // Ensure parsing doesn't panic, even on invalid sign characters
+    assert!(f32::from_str_radix("™0.2", 10).is_err());
+
+    // Even when parsing the exponent sign
+    assert!(f32::from_str_radix("0.2E™1", 10).is_err());
+}
+
+#[test]
+fn from_str_radix_ignore_case() {
+    assert_eq!(
+        f32::from_str_radix("InF", 16).unwrap(),
+        ::core::f32::INFINITY
+    );
+    assert_eq!(
+        f32::from_str_radix("InfinitY", 16).unwrap(),
+        ::core::f32::INFINITY
+    );
+    assert_eq!(
+        f32::from_str_radix("-InF", 8).unwrap(),
+        ::core::f32::NEG_INFINITY
+    );
+    assert_eq!(
+        f32::from_str_radix("-InfinitY", 8).unwrap(),
+        ::core::f32::NEG_INFINITY
+    );
+    assert!(f32::from_str_radix("nAn", 4).unwrap().is_nan());
+    assert!(f32::from_str_radix("-nAn", 4).unwrap().is_nan());
+}
+
+#[test]
 fn wrapping_is_num() {
     fn require_num<T: Num>(_: &T) {}
     require_num(&Wrapping(42_u32));
     require_num(&Wrapping(-42));
 }
 
 #[test]
 fn wrapping_from_str_radix() {
@@ -429,27 +588,29 @@ fn check_numref_ops() {
         x * y / y % y + y - y
     }
     assert_eq!(compute(1, &2), 1)
 }
 
 #[test]
 fn check_refnum_ops() {
     fn compute<T: Copy>(x: &T, y: T) -> T
-        where for<'a> &'a T: RefNum<T>
+    where
+        for<'a> &'a T: RefNum<T>,
     {
         &(&(&(&(x * y) / y) % y) + y) - y
     }
     assert_eq!(compute(&1, 2), 1)
 }
 
 #[test]
 fn check_refref_ops() {
     fn compute<T>(x: &T, y: &T) -> T
-        where for<'a> &'a T: RefNum<T>
+    where
+        for<'a> &'a T: RefNum<T>,
     {
         &(&(&(&(x * y) / y) % y) + y) - y
     }
     assert_eq!(compute(&1, &2), 1)
 }
 
 #[test]
 fn check_numassign_ops() {
@@ -459,10 +620,21 @@ fn check_numassign_ops() {
         x %= y;
         x += y;
         x -= y;
         x
     }
     assert_eq!(compute(1, 2), 1)
 }
 
-// TODO test `NumAssignRef`, but even the standard numeric types don't
-// implement this yet. (see rust pr41336)
+#[cfg(has_int_assignop_ref)]
+#[test]
+fn check_numassignref_ops() {
+    fn compute<T: NumAssignRef + Copy>(mut x: T, y: &T) -> T {
+        x *= y;
+        x /= y;
+        x %= y;
+        x += y;
+        x -= y;
+        x
+    }
+    assert_eq!(compute(1, &2), 1)
+}
diff --git a/third_party/rust/num-traits/src/macros.rs b/third_party/rust/num-traits/src/macros.rs
new file mode 100644
--- /dev/null
+++ b/third_party/rust/num-traits/src/macros.rs
@@ -0,0 +1,44 @@
+// not all are used in all features configurations
+#![allow(unused)]
+
+/// Forward a method to an inherent method or a base trait method.
+macro_rules! forward {
+    ($( Self :: $method:ident ( self $( , $arg:ident : $ty:ty )* ) -> $ret:ty ; )*)
+        => {$(
+            #[inline]
+            fn $method(self $( , $arg : $ty )* ) -> $ret {
+                Self::$method(self $( , $arg )* )
+            }
+        )*};
+    ($( $base:ident :: $method:ident ( self $( , $arg:ident : $ty:ty )* ) -> $ret:ty ; )*)
+        => {$(
+            #[inline]
+            fn $method(self $( , $arg : $ty )* ) -> $ret {
+                <Self as $base>::$method(self $( , $arg )* )
+            }
+        )*};
+    ($( $base:ident :: $method:ident ( $( $arg:ident : $ty:ty ),* ) -> $ret:ty ; )*)
+        => {$(
+            #[inline]
+            fn $method( $( $arg : $ty ),* ) -> $ret {
+                <Self as $base>::$method( $( $arg ),* )
+            }
+        )*};
+    ($( $imp:path as $method:ident ( self $( , $arg:ident : $ty:ty )* ) -> $ret:ty ; )*)
+        => {$(
+            #[inline]
+            fn $method(self $( , $arg : $ty )* ) -> $ret {
+                $imp(self $( , $arg )* )
+            }
+        )*};
+}
+
+macro_rules! constant {
+    ($( $method:ident () -> $ret:expr ; )*)
+        => {$(
+            #[inline]
+            fn $method() -> Self {
+                $ret
+            }
+        )*};
+}
diff --git a/third_party/rust/num-traits/src/ops/checked.rs b/third_party/rust/num-traits/src/ops/checked.rs
--- a/third_party/rust/num-traits/src/ops/checked.rs
+++ b/third_party/rust/num-traits/src/ops/checked.rs
@@ -1,104 +1,210 @@
-use core::ops::{Add, Sub, Mul, Div, Shl, Shr};
+use core::ops::{Add, Div, Mul, Rem, Shl, Shr, Sub};
 
 /// Performs addition that returns `None` instead of wrapping around on
 /// overflow.
-pub trait CheckedAdd: Sized + Add<Self, Output=Self> {
+pub trait CheckedAdd: Sized + Add<Self, Output = Self> {
     /// Adds two numbers, checking for overflow. If overflow happens, `None` is
     /// returned.
     fn checked_add(&self, v: &Self) -> Option<Self>;
 }
 
 macro_rules! checked_impl {
     ($trait_name:ident, $method:ident, $t:ty) => {
         impl $trait_name for $t {
             #[inline]
             fn $method(&self, v: &$t) -> Option<$t> {
                 <$t>::$method(*self, *v)
             }
         }
-    }
+    };
 }
 
 checked_impl!(CheckedAdd, checked_add, u8);
 checked_impl!(CheckedAdd, checked_add, u16);
 checked_impl!(CheckedAdd, checked_add, u32);
 checked_impl!(CheckedAdd, checked_add, u64);
 checked_impl!(CheckedAdd, checked_add, usize);
+#[cfg(has_i128)]
+checked_impl!(CheckedAdd, checked_add, u128);
 
 checked_impl!(CheckedAdd, checked_add, i8);
 checked_impl!(CheckedAdd, checked_add, i16);
 checked_impl!(CheckedAdd, checked_add, i32);
 checked_impl!(CheckedAdd, checked_add, i64);
 checked_impl!(CheckedAdd, checked_add, isize);
+#[cfg(has_i128)]
+checked_impl!(CheckedAdd, checked_add, i128);
 
 /// Performs subtraction that returns `None` instead of wrapping around on underflow.
-pub trait CheckedSub: Sized + Sub<Self, Output=Self> {
+pub trait CheckedSub: Sized + Sub<Self, Output = Self> {
     /// Subtracts two numbers, checking for underflow. If underflow happens,
     /// `None` is returned.
     fn checked_sub(&self, v: &Self) -> Option<Self>;
 }
 
 checked_impl!(CheckedSub, checked_sub, u8);
 checked_impl!(CheckedSub, checked_sub, u16);
 checked_impl!(CheckedSub, checked_sub, u32);
 checked_impl!(CheckedSub, checked_sub, u64);
 checked_impl!(CheckedSub, checked_sub, usize);
+#[cfg(has_i128)]
+checked_impl!(CheckedSub, checked_sub, u128);
 
 checked_impl!(CheckedSub, checked_sub, i8);
 checked_impl!(CheckedSub, checked_sub, i16);
 checked_impl!(CheckedSub, checked_sub, i32);
 checked_impl!(CheckedSub, checked_sub, i64);
 checked_impl!(CheckedSub, checked_sub, isize);
+#[cfg(has_i128)]
+checked_impl!(CheckedSub, checked_sub, i128);
 
 /// Performs multiplication that returns `None` instead of wrapping around on underflow or
 /// overflow.
-pub trait CheckedMul: Sized + Mul<Self, Output=Self> {
+pub trait CheckedMul: Sized + Mul<Self, Output = Self> {
     /// Multiplies two numbers, checking for underflow or overflow. If underflow
     /// or overflow happens, `None` is returned.
     fn checked_mul(&self, v: &Self) -> Option<Self>;
 }
 
 checked_impl!(CheckedMul, checked_mul, u8);
 checked_impl!(CheckedMul, checked_mul, u16);
 checked_impl!(CheckedMul, checked_mul, u32);
 checked_impl!(CheckedMul, checked_mul, u64);
 checked_impl!(CheckedMul, checked_mul, usize);
+#[cfg(has_i128)]
+checked_impl!(CheckedMul, checked_mul, u128);
 
 checked_impl!(CheckedMul, checked_mul, i8);
 checked_impl!(CheckedMul, checked_mul, i16);
 checked_impl!(CheckedMul, checked_mul, i32);
 checked_impl!(CheckedMul, checked_mul, i64);
 checked_impl!(CheckedMul, checked_mul, isize);
+#[cfg(has_i128)]
+checked_impl!(CheckedMul, checked_mul, i128);
 
 /// Performs division that returns `None` instead of panicking on division by zero and instead of
 /// wrapping around on underflow and overflow.
-pub trait CheckedDiv: Sized + Div<Self, Output=Self> {
+pub trait CheckedDiv: Sized + Div<Self, Output = Self> {
     /// Divides two numbers, checking for underflow, overflow and division by
     /// zero. If any of that happens, `None` is returned.
     fn checked_div(&self, v: &Self) -> Option<Self>;
 }
 
 checked_impl!(CheckedDiv, checked_div, u8);
 checked_impl!(CheckedDiv, checked_div, u16);
 checked_impl!(CheckedDiv, checked_div, u32);
 checked_impl!(CheckedDiv, checked_div, u64);
 checked_impl!(CheckedDiv, checked_div, usize);
+#[cfg(has_i128)]
+checked_impl!(CheckedDiv, checked_div, u128);
 
 checked_impl!(CheckedDiv, checked_div, i8);
 checked_impl!(CheckedDiv, checked_div, i16);
 checked_impl!(CheckedDiv, checked_div, i32);
 checked_impl!(CheckedDiv, checked_div, i64);
 checked_impl!(CheckedDiv, checked_div, isize);
+#[cfg(has_i128)]
+checked_impl!(CheckedDiv, checked_div, i128);
 
-/// Performs a left shift that returns `None` on overflow.
-pub trait CheckedShl: Sized + Shl<u32, Output=Self> {
-    /// Shifts a number to the left, checking for overflow. If overflow happens,
-    /// `None` is returned.
+/// Performs an integral remainder that returns `None` instead of panicking on division by zero and
+/// instead of wrapping around on underflow and overflow.
+pub trait CheckedRem: Sized + Rem<Self, Output = Self> {
+    /// Finds the remainder of dividing two numbers, checking for underflow, overflow and division
+    /// by zero. If any of that happens, `None` is returned.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::CheckedRem;
+    /// use std::i32::MIN;
+    ///
+    /// assert_eq!(CheckedRem::checked_rem(&10, &7), Some(3));
+    /// assert_eq!(CheckedRem::checked_rem(&10, &-7), Some(3));
+    /// assert_eq!(CheckedRem::checked_rem(&-10, &7), Some(-3));
+    /// assert_eq!(CheckedRem::checked_rem(&-10, &-7), Some(-3));
+    ///
+    /// assert_eq!(CheckedRem::checked_rem(&10, &0), None);
+    ///
+    /// assert_eq!(CheckedRem::checked_rem(&MIN, &1), Some(0));
+    /// assert_eq!(CheckedRem::checked_rem(&MIN, &-1), None);
+    /// ```
+    fn checked_rem(&self, v: &Self) -> Option<Self>;
+}
+
+checked_impl!(CheckedRem, checked_rem, u8);
+checked_impl!(CheckedRem, checked_rem, u16);
+checked_impl!(CheckedRem, checked_rem, u32);
+checked_impl!(CheckedRem, checked_rem, u64);
+checked_impl!(CheckedRem, checked_rem, usize);
+#[cfg(has_i128)]
+checked_impl!(CheckedRem, checked_rem, u128);
+
+checked_impl!(CheckedRem, checked_rem, i8);
+checked_impl!(CheckedRem, checked_rem, i16);
+checked_impl!(CheckedRem, checked_rem, i32);
+checked_impl!(CheckedRem, checked_rem, i64);
+checked_impl!(CheckedRem, checked_rem, isize);
+#[cfg(has_i128)]
+checked_impl!(CheckedRem, checked_rem, i128);
+
+macro_rules! checked_impl_unary {
+    ($trait_name:ident, $method:ident, $t:ty) => {
+        impl $trait_name for $t {
+            #[inline]
+            fn $method(&self) -> Option<$t> {
+                <$t>::$method(*self)
+            }
+        }
+    };
+}
+
+/// Performs negation that returns `None` if the result can't be represented.
+pub trait CheckedNeg: Sized {
+    /// Negates a number, returning `None` for results that can't be represented, like signed `MIN`
+    /// values that can't be positive, or non-zero unsigned values that can't be negative.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::CheckedNeg;
+    /// use std::i32::MIN;
+    ///
+    /// assert_eq!(CheckedNeg::checked_neg(&1_i32), Some(-1));
+    /// assert_eq!(CheckedNeg::checked_neg(&-1_i32), Some(1));
+    /// assert_eq!(CheckedNeg::checked_neg(&MIN), None);
+    ///
+    /// assert_eq!(CheckedNeg::checked_neg(&0_u32), Some(0));
+    /// assert_eq!(CheckedNeg::checked_neg(&1_u32), None);
+    /// ```
+    fn checked_neg(&self) -> Option<Self>;
+}
+
+checked_impl_unary!(CheckedNeg, checked_neg, u8);
+checked_impl_unary!(CheckedNeg, checked_neg, u16);
+checked_impl_unary!(CheckedNeg, checked_neg, u32);
+checked_impl_unary!(CheckedNeg, checked_neg, u64);
+checked_impl_unary!(CheckedNeg, checked_neg, usize);
+#[cfg(has_i128)]
+checked_impl_unary!(CheckedNeg, checked_neg, u128);
+
+checked_impl_unary!(CheckedNeg, checked_neg, i8);
+checked_impl_unary!(CheckedNeg, checked_neg, i16);
+checked_impl_unary!(CheckedNeg, checked_neg, i32);
+checked_impl_unary!(CheckedNeg, checked_neg, i64);
+checked_impl_unary!(CheckedNeg, checked_neg, isize);
+#[cfg(has_i128)]
+checked_impl_unary!(CheckedNeg, checked_neg, i128);
+
+/// Performs a left shift that returns `None` on shifts larger than
+/// the type width.
+pub trait CheckedShl: Sized + Shl<u32, Output = Self> {
+    /// Checked shift left. Computes `self << rhs`, returning `None`
+    /// if `rhs` is larger than or equal to the number of bits in `self`.
     ///
     /// ```
     /// use num_traits::CheckedShl;
     ///
     /// let x: u16 = 0x0001;
     ///
     /// assert_eq!(CheckedShl::checked_shl(&x, 0),  Some(0x0001));
     /// assert_eq!(CheckedShl::checked_shl(&x, 1),  Some(0x0002));
@@ -111,35 +217,40 @@ pub trait CheckedShl: Sized + Shl<u32, O
 macro_rules! checked_shift_impl {
     ($trait_name:ident, $method:ident, $t:ty) => {
         impl $trait_name for $t {
             #[inline]
             fn $method(&self, rhs: u32) -> Option<$t> {
                 <$t>::$method(*self, rhs)
             }
         }
-    }
+    };
 }
 
 checked_shift_impl!(CheckedShl, checked_shl, u8);
 checked_shift_impl!(CheckedShl, checked_shl, u16);
 checked_shift_impl!(CheckedShl, checked_shl, u32);
 checked_shift_impl!(CheckedShl, checked_shl, u64);
 checked_shift_impl!(CheckedShl, checked_shl, usize);
+#[cfg(has_i128)]
+checked_shift_impl!(CheckedShl, checked_shl, u128);
 
 checked_shift_impl!(CheckedShl, checked_shl, i8);
 checked_shift_impl!(CheckedShl, checked_shl, i16);
 checked_shift_impl!(CheckedShl, checked_shl, i32);
 checked_shift_impl!(CheckedShl, checked_shl, i64);
 checked_shift_impl!(CheckedShl, checked_shl, isize);
+#[cfg(has_i128)]
+checked_shift_impl!(CheckedShl, checked_shl, i128);
 
-/// Performs a right shift that returns `None` on overflow.
-pub trait CheckedShr: Sized + Shr<u32, Output=Self> {
-    /// Shifts a number to the left, checking for overflow. If overflow happens,
-    /// `None` is returned.
+/// Performs a right shift that returns `None` on shifts larger than
+/// the type width.
+pub trait CheckedShr: Sized + Shr<u32, Output = Self> {
+    /// Checked shift right. Computes `self >> rhs`, returning `None`
+    /// if `rhs` is larger than or equal to the number of bits in `self`.
     ///
     /// ```
     /// use num_traits::CheckedShr;
     ///
     /// let x: u16 = 0x8000;
     ///
     /// assert_eq!(CheckedShr::checked_shr(&x, 0),  Some(0x8000));
     /// assert_eq!(CheckedShr::checked_shr(&x, 1),  Some(0x4000));
@@ -149,14 +260,18 @@ pub trait CheckedShr: Sized + Shr<u32, O
     fn checked_shr(&self, rhs: u32) -> Option<Self>;
 }
 
 checked_shift_impl!(CheckedShr, checked_shr, u8);
 checked_shift_impl!(CheckedShr, checked_shr, u16);
 checked_shift_impl!(CheckedShr, checked_shr, u32);
 checked_shift_impl!(CheckedShr, checked_shr, u64);
 checked_shift_impl!(CheckedShr, checked_shr, usize);
+#[cfg(has_i128)]
+checked_shift_impl!(CheckedShr, checked_shr, u128);
 
 checked_shift_impl!(CheckedShr, checked_shr, i8);
 checked_shift_impl!(CheckedShr, checked_shr, i16);
 checked_shift_impl!(CheckedShr, checked_shr, i32);
 checked_shift_impl!(CheckedShr, checked_shr, i64);
 checked_shift_impl!(CheckedShr, checked_shr, isize);
+#[cfg(has_i128)]
+checked_shift_impl!(CheckedShr, checked_shr, i128);
diff --git a/third_party/rust/num-traits/src/ops/euclid.rs b/third_party/rust/num-traits/src/ops/euclid.rs
new file mode 100644
--- /dev/null
+++ b/third_party/rust/num-traits/src/ops/euclid.rs
@@ -0,0 +1,347 @@
+use core::ops::{Div, Rem};
+
+pub trait Euclid: Sized + Div<Self, Output = Self> + Rem<Self, Output = Self> {
+    /// Calculates Euclidean division, the matching method for `rem_euclid`.
+    ///
+    /// This computes the integer `n` such that
+    /// `self = n * v + self.rem_euclid(v)`.
+    /// In other words, the result is `self / v` rounded to the integer `n`
+    /// such that `self >= n * v`.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::Euclid;
+    ///
+    /// let a: i32 = 7;
+    /// let b: i32 = 4;
+    /// assert_eq!(Euclid::div_euclid(&a, &b), 1); // 7 > 4 * 1
+    /// assert_eq!(Euclid::div_euclid(&-a, &b), -2); // -7 >= 4 * -2
+    /// assert_eq!(Euclid::div_euclid(&a, &-b), -1); // 7 >= -4 * -1
+    /// assert_eq!(Euclid::div_euclid(&-a, &-b), 2); // -7 >= -4 * 2
+    /// ```
+    fn div_euclid(&self, v: &Self) -> Self;
+
+    /// Calculates the least nonnegative remainder of `self (mod v)`.
+    ///
+    /// In particular, the return value `r` satisfies `0.0 <= r < v.abs()` in
+    /// most cases. However, due to a floating point round-off error it can
+    /// result in `r == v.abs()`, violating the mathematical definition, if
+    /// `self` is much smaller than `v.abs()` in magnitude and `self < 0.0`.
+    /// This result is not an element of the function's codomain, but it is the
+    /// closest floating point number in the real numbers and thus fulfills the
+    /// property `self == self.div_euclid(v) * v + self.rem_euclid(v)`
+    /// approximatively.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::Euclid;
+    ///
+    /// let a: i32 = 7;
+    /// let b: i32 = 4;
+    /// assert_eq!(Euclid::rem_euclid(&a, &b), 3);
+    /// assert_eq!(Euclid::rem_euclid(&-a, &b), 1);
+    /// assert_eq!(Euclid::rem_euclid(&a, &-b), 3);
+    /// assert_eq!(Euclid::rem_euclid(&-a, &-b), 1);
+    /// ```
+    fn rem_euclid(&self, v: &Self) -> Self;
+}
+
+macro_rules! euclid_forward_impl {
+    ($($t:ty)*) => {$(
+        #[cfg(has_div_euclid)]
+        impl Euclid for $t {
+            #[inline]
+            fn div_euclid(&self, v: &$t) -> Self {
+                <$t>::div_euclid(*self, *v)
+            }
+
+            #[inline]
+            fn rem_euclid(&self, v: &$t) -> Self {
+                <$t>::rem_euclid(*self, *v)
+            }
+        }
+    )*}
+}
+
+macro_rules! euclid_int_impl {
+    ($($t:ty)*) => {$(
+        euclid_forward_impl!($t);
+
+        #[cfg(not(has_div_euclid))]
+        impl Euclid for $t {
+            #[inline]
+            fn div_euclid(&self, v: &$t) -> Self {
+                let q = self / v;
+                if self % v < 0 {
+                    return if *v > 0 { q - 1 } else { q + 1 }
+                }
+                q
+            }
+
+            #[inline]
+            fn rem_euclid(&self, v: &$t) -> Self {
+                let r = self % v;
+                if r < 0 {
+                    if *v < 0 {
+                        r - v
+                    } else {
+                        r + v
+                    }
+                } else {
+                    r
+                }
+            }
+        }
+    )*}
+}
+
+macro_rules! euclid_uint_impl {
+    ($($t:ty)*) => {$(
+        euclid_forward_impl!($t);
+
+        #[cfg(not(has_div_euclid))]
+        impl Euclid for $t {
+            #[inline]
+            fn div_euclid(&self, v: &$t) -> Self {
+                self / v
+            }
+
+            #[inline]
+            fn rem_euclid(&self, v: &$t) -> Self {
+                self % v
+            }
+        }
+    )*}
+}
+
+euclid_int_impl!(isize i8 i16 i32 i64);
+euclid_uint_impl!(usize u8 u16 u32 u64);
+#[cfg(has_i128)]
+euclid_int_impl!(i128);
+#[cfg(has_i128)]
+euclid_uint_impl!(u128);
+
+#[cfg(all(has_div_euclid, feature = "std"))]
+euclid_forward_impl!(f32 f64);
+
+#[cfg(not(all(has_div_euclid, feature = "std")))]
+impl Euclid for f32 {
+    #[inline]
+    fn div_euclid(&self, v: &f32) -> f32 {
+        let q = <f32 as ::float::FloatCore>::trunc(self / v);
+        if self % v < 0.0 {
+            return if *v > 0.0 { q - 1.0 } else { q + 1.0 };
+        }
+        q
+    }
+
+    #[inline]
+    fn rem_euclid(&self, v: &f32) -> f32 {
+        let r = self % v;
+        if r < 0.0 {
+            r + <f32 as ::float::FloatCore>::abs(*v)
+        } else {
+            r
+        }
+    }
+}
+
+#[cfg(not(all(has_div_euclid, feature = "std")))]
+impl Euclid for f64 {
+    #[inline]
+    fn div_euclid(&self, v: &f64) -> f64 {
+        let q = <f64 as ::float::FloatCore>::trunc(self / v);
+        if self % v < 0.0 {
+            return if *v > 0.0 { q - 1.0 } else { q + 1.0 };
+        }
+        q
+    }
+
+    #[inline]
+    fn rem_euclid(&self, v: &f64) -> f64 {
+        let r = self % v;
+        if r < 0.0 {
+            r + <f64 as ::float::FloatCore>::abs(*v)
+        } else {
+            r
+        }
+    }
+}
+
+pub trait CheckedEuclid: Euclid {
+    /// Performs euclid division that returns `None` instead of panicking on division by zero
+    /// and instead of wrapping around on underflow and overflow.
+    fn checked_div_euclid(&self, v: &Self) -> Option<Self>;
+
+    /// Finds the euclid remainder of dividing two numbers, checking for underflow, overflow and
+    /// division by zero. If any of that happens, `None` is returned.
+    fn checked_rem_euclid(&self, v: &Self) -> Option<Self>;
+}
+
+macro_rules! checked_euclid_forward_impl {
+    ($($t:ty)*) => {$(
+        #[cfg(has_div_euclid)]
+        impl CheckedEuclid for $t {
+            #[inline]
+            fn checked_div_euclid(&self, v: &$t) -> Option<Self> {
+                <$t>::checked_div_euclid(*self, *v)
+            }
+
+            #[inline]
+            fn checked_rem_euclid(&self, v: &$t) -> Option<Self> {
+                <$t>::checked_rem_euclid(*self, *v)
+            }
+        }
+    )*}
+}
+
+macro_rules! checked_euclid_int_impl {
+    ($($t:ty)*) => {$(
+        checked_euclid_forward_impl!($t);
+
+        #[cfg(not(has_div_euclid))]
+        impl CheckedEuclid for $t {
+            #[inline]
+            fn checked_div_euclid(&self, v: &$t) -> Option<$t> {
+                if *v == 0 || (*self == Self::min_value() && *v == -1) {
+                    None
+                } else {
+                    Some(Euclid::div_euclid(self, v))
+                }
+            }
+
+            #[inline]
+            fn checked_rem_euclid(&self, v: &$t) -> Option<$t> {
+                if *v == 0 || (*self == Self::min_value() && *v == -1) {
+                    None
+                } else {
+                    Some(Euclid::rem_euclid(self, v))
+                }
+            }
+        }
+    )*}
+}
+
+macro_rules! checked_euclid_uint_impl {
+    ($($t:ty)*) => {$(
+        checked_euclid_forward_impl!($t);
+
+        #[cfg(not(has_div_euclid))]
+        impl CheckedEuclid for $t {
+            #[inline]
+            fn checked_div_euclid(&self, v: &$t) -> Option<$t> {
+                if *v == 0 {
+                    None
+                } else {
+                    Some(Euclid::div_euclid(self, v))
+                }
+            }
+
+            #[inline]
+            fn checked_rem_euclid(&self, v: &$t) -> Option<$t> {
+                if *v == 0 {
+                    None
+                } else {
+                    Some(Euclid::rem_euclid(self, v))
+                }
+            }
+        }
+    )*}
+}
+
+checked_euclid_int_impl!(isize i8 i16 i32 i64);
+checked_euclid_uint_impl!(usize u8 u16 u32 u64);
+#[cfg(has_i128)]
+checked_euclid_int_impl!(i128);
+#[cfg(has_i128)]
+checked_euclid_uint_impl!(u128);
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn euclid_unsigned() {
+        macro_rules! test_euclid {
+            ($($t:ident)+) => {
+                $(
+                    {
+                        let x: $t = 10;
+                        let y: $t = 3;
+                        assert_eq!(Euclid::div_euclid(&x, &y), 3);
+                        assert_eq!(Euclid::rem_euclid(&x, &y), 1);
+                    }
+                )+
+            };
+        }
+
+        test_euclid!(usize u8 u16 u32 u64);
+    }
+
+    #[test]
+    fn euclid_signed() {
+        macro_rules! test_euclid {
+            ($($t:ident)+) => {
+                $(
+                    {
+                        let x: $t = 10;
+                        let y: $t = -3;
+                        assert_eq!(Euclid::div_euclid(&x, &y), -3);
+                        assert_eq!(Euclid::div_euclid(&-x, &y), 4);
+                        assert_eq!(Euclid::rem_euclid(&x, &y), 1);
+                        assert_eq!(Euclid::rem_euclid(&-x, &y), 2);
+                        let x: $t = $t::min_value() + 1;
+                        let y: $t = -1;
+                        assert_eq!(Euclid::div_euclid(&x, &y), $t::max_value());
+                    }
+                )+
+            };
+        }
+
+        test_euclid!(isize i8 i16 i32 i64);
+    }
+
+    #[test]
+    fn euclid_float() {
+        macro_rules! test_euclid {
+            ($($t:ident)+) => {
+                $(
+                    {
+                        let x: $t = 12.1;
+                        let y: $t = 3.2;
+                        assert!(Euclid::div_euclid(&x, &y) * y + Euclid::rem_euclid(&x, &y) - x
+                        <= 46.4 * <$t as ::float::FloatCore>::epsilon());
+                        assert!(Euclid::div_euclid(&x, &-y) * -y + Euclid::rem_euclid(&x, &-y) - x
+                        <= 46.4 * <$t as ::float::FloatCore>::epsilon());
+                        assert!(Euclid::div_euclid(&-x, &y) * y + Euclid::rem_euclid(&-x, &y) + x
+                        <= 46.4 * <$t as ::float::FloatCore>::epsilon());
+                        assert!(Euclid::div_euclid(&-x, &-y) * -y + Euclid::rem_euclid(&-x, &-y) + x
+                        <= 46.4 * <$t as ::float::FloatCore>::epsilon());
+                    }
+                )+
+            };
+        }
+
+        test_euclid!(f32 f64);
+    }
+
+    #[test]
+    fn euclid_checked() {
+        macro_rules! test_euclid_checked {
+            ($($t:ident)+) => {
+                $(
+                    {
+                        assert_eq!(CheckedEuclid::checked_div_euclid(&$t::min_value(), &-1), None);
+                        assert_eq!(CheckedEuclid::checked_rem_euclid(&$t::min_value(), &-1), None);
+                        assert_eq!(CheckedEuclid::checked_div_euclid(&1, &0), None);
+                        assert_eq!(CheckedEuclid::checked_rem_euclid(&1, &0), None);
+                    }
+                )+
+            };
+        }
+
+        test_euclid_checked!(isize i8 i16 i32 i64);
+    }
+}
diff --git a/third_party/rust/num-traits/src/ops/inv.rs b/third_party/rust/num-traits/src/ops/inv.rs
new file mode 100644
--- /dev/null
+++ b/third_party/rust/num-traits/src/ops/inv.rs
@@ -0,0 +1,47 @@
+/// Unary operator for retrieving the multiplicative inverse, or reciprocal, of a value.
+pub trait Inv {
+    /// The result after applying the operator.
+    type Output;
+
+    /// Returns the multiplicative inverse of `self`.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use std::f64::INFINITY;
+    /// use num_traits::Inv;
+    ///
+    /// assert_eq!(7.0.inv() * 7.0, 1.0);
+    /// assert_eq!((-0.0).inv(), -INFINITY);
+    /// ```
+    fn inv(self) -> Self::Output;
+}
+
+impl Inv for f32 {
+    type Output = f32;
+    #[inline]
+    fn inv(self) -> f32 {
+        1.0 / self
+    }
+}
+impl Inv for f64 {
+    type Output = f64;
+    #[inline]
+    fn inv(self) -> f64 {
+        1.0 / self
+    }
+}
+impl<'a> Inv for &'a f32 {
+    type Output = f32;
+    #[inline]
+    fn inv(self) -> f32 {
+        1.0 / *self
+    }
+}
+impl<'a> Inv for &'a f64 {
+    type Output = f64;
+    #[inline]
+    fn inv(self) -> f64 {
+        1.0 / *self
+    }
+}
diff --git a/third_party/rust/num-traits/src/ops/mod.rs b/third_party/rust/num-traits/src/ops/mod.rs
--- a/third_party/rust/num-traits/src/ops/mod.rs
+++ b/third_party/rust/num-traits/src/ops/mod.rs
@@ -1,3 +1,7 @@
+pub mod checked;
+pub mod euclid;
+pub mod inv;
+pub mod mul_add;
+pub mod overflowing;
 pub mod saturating;
-pub mod checked;
 pub mod wrapping;
diff --git a/third_party/rust/num-traits/src/ops/mul_add.rs b/third_party/rust/num-traits/src/ops/mul_add.rs
new file mode 100644
--- /dev/null
+++ b/third_party/rust/num-traits/src/ops/mul_add.rs
@@ -0,0 +1,151 @@
+/// Fused multiply-add. Computes `(self * a) + b` with only one rounding
+/// error, yielding a more accurate result than an unfused multiply-add.
+///
+/// Using `mul_add` can be more performant than an unfused multiply-add if
+/// the target architecture has a dedicated `fma` CPU instruction.
+///
+/// Note that `A` and `B` are `Self` by default, but this is not mandatory.
+///
+/// # Example
+///
+/// ```
+/// use std::f32;
+///
+/// let m = 10.0_f32;
+/// let x = 4.0_f32;
+/// let b = 60.0_f32;
+///
+/// // 100.0
+/// let abs_difference = (m.mul_add(x, b) - (m*x + b)).abs();
+///
+/// assert!(abs_difference <= 100.0 * f32::EPSILON);
+/// ```
+pub trait MulAdd<A = Self, B = Self> {
+    /// The resulting type after applying the fused multiply-add.
+    type Output;
+
+    /// Performs the fused multiply-add operation.
+    fn mul_add(self, a: A, b: B) -> Self::Output;
+}
+
+/// The fused multiply-add assignment operation.
+pub trait MulAddAssign<A = Self, B = Self> {
+    /// Performs the fused multiply-add operation.
+    fn mul_add_assign(&mut self, a: A, b: B);
+}
+
+#[cfg(any(feature = "std", feature = "libm"))]
+impl MulAdd<f32, f32> for f32 {
+    type Output = Self;
+
+    #[inline]
+    fn mul_add(self, a: Self, b: Self) -> Self::Output {
+        <Self as ::Float>::mul_add(self, a, b)
+    }
+}
+
+#[cfg(any(feature = "std", feature = "libm"))]
+impl MulAdd<f64, f64> for f64 {
+    type Output = Self;
+
+    #[inline]
+    fn mul_add(self, a: Self, b: Self) -> Self::Output {
+        <Self as ::Float>::mul_add(self, a, b)
+    }
+}
+
+macro_rules! mul_add_impl {
+    ($trait_name:ident for $($t:ty)*) => {$(
+        impl $trait_name for $t {
+            type Output = Self;
+
+            #[inline]
+            fn mul_add(self, a: Self, b: Self) -> Self::Output {
+                (self * a) + b
+            }
+        }
+    )*}
+}
+
+mul_add_impl!(MulAdd for isize usize i8 u8 i16 u16 i32 u32 i64 u64);
+#[cfg(has_i128)]
+mul_add_impl!(MulAdd for i128 u128);
+
+#[cfg(any(feature = "std", feature = "libm"))]
+impl MulAddAssign<f32, f32> for f32 {
+    #[inline]
+    fn mul_add_assign(&mut self, a: Self, b: Self) {
+        *self = <Self as ::Float>::mul_add(*self, a, b)
+    }
+}
+
+#[cfg(any(feature = "std", feature = "libm"))]
+impl MulAddAssign<f64, f64> for f64 {
+    #[inline]
+    fn mul_add_assign(&mut self, a: Self, b: Self) {
+        *self = <Self as ::Float>::mul_add(*self, a, b)
+    }
+}
+
+macro_rules! mul_add_assign_impl {
+    ($trait_name:ident for $($t:ty)*) => {$(
+        impl $trait_name for $t {
+            #[inline]
+            fn mul_add_assign(&mut self, a: Self, b: Self) {
+                *self = (*self * a) + b
+            }
+        }
+    )*}
+}
+
+mul_add_assign_impl!(MulAddAssign for isize usize i8 u8 i16 u16 i32 u32 i64 u64);
+#[cfg(has_i128)]
+mul_add_assign_impl!(MulAddAssign for i128 u128);
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn mul_add_integer() {
+        macro_rules! test_mul_add {
+            ($($t:ident)+) => {
+                $(
+                    {
+                        let m: $t = 2;
+                        let x: $t = 3;
+                        let b: $t = 4;
+
+                        assert_eq!(MulAdd::mul_add(m, x, b), (m*x + b));
+                    }
+                )+
+            };
+        }
+
+        test_mul_add!(usize u8 u16 u32 u64 isize i8 i16 i32 i64);
+    }
+
+    #[test]
+    #[cfg(feature = "std")]
+    fn mul_add_float() {
+        macro_rules! test_mul_add {
+            ($($t:ident)+) => {
+                $(
+                    {
+                        use core::$t;
+
+                        let m: $t = 12.0;
+                        let x: $t = 3.4;
+                        let b: $t = 5.6;
+
+                        let abs_difference = (MulAdd::mul_add(m, x, b) - (m*x + b)).abs();
+
+                        assert!(abs_difference <= 46.4 * $t::EPSILON);
+                    }
+                )+
+            };
+        }
+
+        test_mul_add!(f32 f64);
+    }
+}
diff --git a/third_party/rust/num-traits/src/ops/overflowing.rs b/third_party/rust/num-traits/src/ops/overflowing.rs
new file mode 100644
--- /dev/null
+++ b/third_party/rust/num-traits/src/ops/overflowing.rs
@@ -0,0 +1,104 @@
+use core::ops::{Add, Mul, Sub};
+#[cfg(has_i128)]
+use core::{i128, u128};
+use core::{i16, i32, i64, i8, isize};
+use core::{u16, u32, u64, u8, usize};
+
+macro_rules! overflowing_impl {
+    ($trait_name:ident, $method:ident, $t:ty) => {
+        impl $trait_name for $t {
+            #[inline]
+            fn $method(&self, v: &Self) -> (Self, bool) {
+                <$t>::$method(*self, *v)
+            }
+        }
+    };
+}
+
+/// Performs addition with a flag for overflow.
+pub trait OverflowingAdd: Sized + Add<Self, Output = Self> {
+    /// Returns a tuple of the sum along with a boolean indicating whether an arithmetic overflow would occur.
+    /// If an overflow would have occurred then the wrapped value is returned.
+    fn overflowing_add(&self, v: &Self) -> (Self, bool);
+}
+
+overflowing_impl!(OverflowingAdd, overflowing_add, u8);
+overflowing_impl!(OverflowingAdd, overflowing_add, u16);
+overflowing_impl!(OverflowingAdd, overflowing_add, u32);
+overflowing_impl!(OverflowingAdd, overflowing_add, u64);
+overflowing_impl!(OverflowingAdd, overflowing_add, usize);
+#[cfg(has_i128)]
+overflowing_impl!(OverflowingAdd, overflowing_add, u128);
+
+overflowing_impl!(OverflowingAdd, overflowing_add, i8);
+overflowing_impl!(OverflowingAdd, overflowing_add, i16);
+overflowing_impl!(OverflowingAdd, overflowing_add, i32);
+overflowing_impl!(OverflowingAdd, overflowing_add, i64);
+overflowing_impl!(OverflowingAdd, overflowing_add, isize);
+#[cfg(has_i128)]
+overflowing_impl!(OverflowingAdd, overflowing_add, i128);
+
+/// Performs substraction with a flag for overflow.
+pub trait OverflowingSub: Sized + Sub<Self, Output = Self> {
+    /// Returns a tuple of the difference along with a boolean indicating whether an arithmetic overflow would occur.
+    /// If an overflow would have occurred then the wrapped value is returned.
+    fn overflowing_sub(&self, v: &Self) -> (Self, bool);
+}
+
+overflowing_impl!(OverflowingSub, overflowing_sub, u8);
+overflowing_impl!(OverflowingSub, overflowing_sub, u16);
+overflowing_impl!(OverflowingSub, overflowing_sub, u32);
+overflowing_impl!(OverflowingSub, overflowing_sub, u64);
+overflowing_impl!(OverflowingSub, overflowing_sub, usize);
+#[cfg(has_i128)]
+overflowing_impl!(OverflowingSub, overflowing_sub, u128);
+
+overflowing_impl!(OverflowingSub, overflowing_sub, i8);
+overflowing_impl!(OverflowingSub, overflowing_sub, i16);
+overflowing_impl!(OverflowingSub, overflowing_sub, i32);
+overflowing_impl!(OverflowingSub, overflowing_sub, i64);
+overflowing_impl!(OverflowingSub, overflowing_sub, isize);
+#[cfg(has_i128)]
+overflowing_impl!(OverflowingSub, overflowing_sub, i128);
+
+/// Performs multiplication with a flag for overflow.
+pub trait OverflowingMul: Sized + Mul<Self, Output = Self> {
+    /// Returns a tuple of the product along with a boolean indicating whether an arithmetic overflow would occur.
+    /// If an overflow would have occurred then the wrapped value is returned.
+    fn overflowing_mul(&self, v: &Self) -> (Self, bool);
+}
+
+overflowing_impl!(OverflowingMul, overflowing_mul, u8);
+overflowing_impl!(OverflowingMul, overflowing_mul, u16);
+overflowing_impl!(OverflowingMul, overflowing_mul, u32);
+overflowing_impl!(OverflowingMul, overflowing_mul, u64);
+overflowing_impl!(OverflowingMul, overflowing_mul, usize);
+#[cfg(has_i128)]
+overflowing_impl!(OverflowingMul, overflowing_mul, u128);
+
+overflowing_impl!(OverflowingMul, overflowing_mul, i8);
+overflowing_impl!(OverflowingMul, overflowing_mul, i16);
+overflowing_impl!(OverflowingMul, overflowing_mul, i32);
+overflowing_impl!(OverflowingMul, overflowing_mul, i64);
+overflowing_impl!(OverflowingMul, overflowing_mul, isize);
+#[cfg(has_i128)]
+overflowing_impl!(OverflowingMul, overflowing_mul, i128);
+
+#[test]
+fn test_overflowing_traits() {
+    fn overflowing_add<T: OverflowingAdd>(a: T, b: T) -> (T, bool) {
+        a.overflowing_add(&b)
+    }
+    fn overflowing_sub<T: OverflowingSub>(a: T, b: T) -> (T, bool) {
+        a.overflowing_sub(&b)
+    }
+    fn overflowing_mul<T: OverflowingMul>(a: T, b: T) -> (T, bool) {
+        a.overflowing_mul(&b)
+    }
+    assert_eq!(overflowing_add(5i16, 2), (7, false));
+    assert_eq!(overflowing_add(i16::MAX, 1), (i16::MIN, true));
+    assert_eq!(overflowing_sub(5i16, 2), (3, false));
+    assert_eq!(overflowing_sub(i16::MIN, 1), (i16::MAX, true));
+    assert_eq!(overflowing_mul(5i16, 2), (10, false));
+    assert_eq!(overflowing_mul(1_000_000_000i32, 10), (1410065408, true));
+}
diff --git a/third_party/rust/num-traits/src/ops/saturating.rs b/third_party/rust/num-traits/src/ops/saturating.rs
--- a/third_party/rust/num-traits/src/ops/saturating.rs
+++ b/third_party/rust/num-traits/src/ops/saturating.rs
@@ -1,28 +1,137 @@
-/// Saturating math operations
+use core::ops::{Add, Mul, Sub};
+
+/// Saturating math operations. Deprecated, use `SaturatingAdd`, `SaturatingSub` and
+/// `SaturatingMul` instead.
 pub trait Saturating {
     /// Saturating addition operator.
     /// Returns a+b, saturating at the numeric bounds instead of overflowing.
     fn saturating_add(self, v: Self) -> Self;
 
     /// Saturating subtraction operator.
     /// Returns a-b, saturating at the numeric bounds instead of overflowing.
     fn saturating_sub(self, v: Self) -> Self;
 }
 
-macro_rules! saturating_impl {
+macro_rules! deprecated_saturating_impl {
     ($trait_name:ident for $($t:ty)*) => {$(
         impl $trait_name for $t {
             #[inline]
             fn saturating_add(self, v: Self) -> Self {
                 Self::saturating_add(self, v)
             }
 
             #[inline]
             fn saturating_sub(self, v: Self) -> Self {
                 Self::saturating_sub(self, v)
             }
         }
     )*}
 }
 
-saturating_impl!(Saturating for isize usize i8 u8 i16 u16 i32 u32 i64 u64);
+deprecated_saturating_impl!(Saturating for isize usize i8 u8 i16 u16 i32 u32 i64 u64);
+#[cfg(has_i128)]
+deprecated_saturating_impl!(Saturating for i128 u128);
+
+macro_rules! saturating_impl {
+    ($trait_name:ident, $method:ident, $t:ty) => {
+        impl $trait_name for $t {
+            #[inline]
+            fn $method(&self, v: &Self) -> Self {
+                <$t>::$method(*self, *v)
+            }
+        }
+    };
+}
+
+/// Performs addition that saturates at the numeric bounds instead of overflowing.
+pub trait SaturatingAdd: Sized + Add<Self, Output = Self> {
+    /// Saturating addition. Computes `self + other`, saturating at the relevant high or low boundary of
+    /// the type.
+    fn saturating_add(&self, v: &Self) -> Self;
+}
+
+saturating_impl!(SaturatingAdd, saturating_add, u8);
+saturating_impl!(SaturatingAdd, saturating_add, u16);
+saturating_impl!(SaturatingAdd, saturating_add, u32);
+saturating_impl!(SaturatingAdd, saturating_add, u64);
+saturating_impl!(SaturatingAdd, saturating_add, usize);
+#[cfg(has_i128)]
+saturating_impl!(SaturatingAdd, saturating_add, u128);
+
+saturating_impl!(SaturatingAdd, saturating_add, i8);
+saturating_impl!(SaturatingAdd, saturating_add, i16);
+saturating_impl!(SaturatingAdd, saturating_add, i32);
+saturating_impl!(SaturatingAdd, saturating_add, i64);
+saturating_impl!(SaturatingAdd, saturating_add, isize);
+#[cfg(has_i128)]
+saturating_impl!(SaturatingAdd, saturating_add, i128);
+
+/// Performs subtraction that saturates at the numeric bounds instead of overflowing.
+pub trait SaturatingSub: Sized + Sub<Self, Output = Self> {
+    /// Saturating subtraction. Computes `self - other`, saturating at the relevant high or low boundary of
+    /// the type.
+    fn saturating_sub(&self, v: &Self) -> Self;
+}
+
+saturating_impl!(SaturatingSub, saturating_sub, u8);
+saturating_impl!(SaturatingSub, saturating_sub, u16);
+saturating_impl!(SaturatingSub, saturating_sub, u32);
+saturating_impl!(SaturatingSub, saturating_sub, u64);
+saturating_impl!(SaturatingSub, saturating_sub, usize);
+#[cfg(has_i128)]
+saturating_impl!(SaturatingSub, saturating_sub, u128);
+
+saturating_impl!(SaturatingSub, saturating_sub, i8);
+saturating_impl!(SaturatingSub, saturating_sub, i16);
+saturating_impl!(SaturatingSub, saturating_sub, i32);
+saturating_impl!(SaturatingSub, saturating_sub, i64);
+saturating_impl!(SaturatingSub, saturating_sub, isize);
+#[cfg(has_i128)]
+saturating_impl!(SaturatingSub, saturating_sub, i128);
+
+/// Performs multiplication that saturates at the numeric bounds instead of overflowing.
+pub trait SaturatingMul: Sized + Mul<Self, Output = Self> {
+    /// Saturating multiplication. Computes `self * other`, saturating at the relevant high or low boundary of
+    /// the type.
+    fn saturating_mul(&self, v: &Self) -> Self;
+}
+
+saturating_impl!(SaturatingMul, saturating_mul, u8);
+saturating_impl!(SaturatingMul, saturating_mul, u16);
+saturating_impl!(SaturatingMul, saturating_mul, u32);
+saturating_impl!(SaturatingMul, saturating_mul, u64);
+saturating_impl!(SaturatingMul, saturating_mul, usize);
+#[cfg(has_i128)]
+saturating_impl!(SaturatingMul, saturating_mul, u128);
+
+saturating_impl!(SaturatingMul, saturating_mul, i8);
+saturating_impl!(SaturatingMul, saturating_mul, i16);
+saturating_impl!(SaturatingMul, saturating_mul, i32);
+saturating_impl!(SaturatingMul, saturating_mul, i64);
+saturating_impl!(SaturatingMul, saturating_mul, isize);
+#[cfg(has_i128)]
+saturating_impl!(SaturatingMul, saturating_mul, i128);
+
+// TODO: add SaturatingNeg for signed integer primitives once the saturating_neg() API is stable.
+
+#[test]
+fn test_saturating_traits() {
+    fn saturating_add<T: SaturatingAdd>(a: T, b: T) -> T {
+        a.saturating_add(&b)
+    }
+    fn saturating_sub<T: SaturatingSub>(a: T, b: T) -> T {
+        a.saturating_sub(&b)
+    }
+    fn saturating_mul<T: SaturatingMul>(a: T, b: T) -> T {
+        a.saturating_mul(&b)
+    }
+    assert_eq!(saturating_add(255, 1), 255u8);
+    assert_eq!(saturating_add(127, 1), 127i8);
+    assert_eq!(saturating_add(-128, -1), -128i8);
+    assert_eq!(saturating_sub(0, 1), 0u8);
+    assert_eq!(saturating_sub(-128, 1), -128i8);
+    assert_eq!(saturating_sub(127, -1), 127i8);
+    assert_eq!(saturating_mul(255, 2), 255u8);
+    assert_eq!(saturating_mul(127, 2), 127i8);
+    assert_eq!(saturating_mul(-128, 2), -128i8);
+}
diff --git a/third_party/rust/num-traits/src/ops/wrapping.rs b/third_party/rust/num-traits/src/ops/wrapping.rs
--- a/third_party/rust/num-traits/src/ops/wrapping.rs
+++ b/third_party/rust/num-traits/src/ops/wrapping.rs
@@ -1,10 +1,10 @@
-use core::ops::{Add, Sub, Mul};
 use core::num::Wrapping;
+use core::ops::{Add, Mul, Neg, Shl, Shr, Sub};
 
 macro_rules! wrapping_impl {
     ($trait_name:ident, $method:ident, $t:ty) => {
         impl $trait_name for $t {
             #[inline]
             fn $method(&self, v: &Self) -> Self {
                 <$t>::$method(*self, *v)
             }
@@ -12,105 +12,300 @@ macro_rules! wrapping_impl {
     };
     ($trait_name:ident, $method:ident, $t:ty, $rhs:ty) => {
         impl $trait_name<$rhs> for $t {
             #[inline]
             fn $method(&self, v: &$rhs) -> Self {
                 <$t>::$method(*self, *v)
             }
         }
-    }
+    };
 }
 
 /// Performs addition that wraps around on overflow.
-pub trait WrappingAdd: Sized + Add<Self, Output=Self> {
+pub trait WrappingAdd: Sized + Add<Self, Output = Self> {
     /// Wrapping (modular) addition. Computes `self + other`, wrapping around at the boundary of
     /// the type.
     fn wrapping_add(&self, v: &Self) -> Self;
 }
 
 wrapping_impl!(WrappingAdd, wrapping_add, u8);
 wrapping_impl!(WrappingAdd, wrapping_add, u16);
 wrapping_impl!(WrappingAdd, wrapping_add, u32);
 wrapping_impl!(WrappingAdd, wrapping_add, u64);
 wrapping_impl!(WrappingAdd, wrapping_add, usize);
+#[cfg(has_i128)]
+wrapping_impl!(WrappingAdd, wrapping_add, u128);
 
 wrapping_impl!(WrappingAdd, wrapping_add, i8);
 wrapping_impl!(WrappingAdd, wrapping_add, i16);
 wrapping_impl!(WrappingAdd, wrapping_add, i32);
 wrapping_impl!(WrappingAdd, wrapping_add, i64);
 wrapping_impl!(WrappingAdd, wrapping_add, isize);
+#[cfg(has_i128)]
+wrapping_impl!(WrappingAdd, wrapping_add, i128);
 
 /// Performs subtraction that wraps around on overflow.
-pub trait WrappingSub: Sized + Sub<Self, Output=Self> {
+pub trait WrappingSub: Sized + Sub<Self, Output = Self> {
     /// Wrapping (modular) subtraction. Computes `self - other`, wrapping around at the boundary
     /// of the type.
     fn wrapping_sub(&self, v: &Self) -> Self;
 }
 
 wrapping_impl!(WrappingSub, wrapping_sub, u8);
 wrapping_impl!(WrappingSub, wrapping_sub, u16);
 wrapping_impl!(WrappingSub, wrapping_sub, u32);
 wrapping_impl!(WrappingSub, wrapping_sub, u64);
 wrapping_impl!(WrappingSub, wrapping_sub, usize);
+#[cfg(has_i128)]
+wrapping_impl!(WrappingSub, wrapping_sub, u128);
 
 wrapping_impl!(WrappingSub, wrapping_sub, i8);
 wrapping_impl!(WrappingSub, wrapping_sub, i16);
 wrapping_impl!(WrappingSub, wrapping_sub, i32);
 wrapping_impl!(WrappingSub, wrapping_sub, i64);
 wrapping_impl!(WrappingSub, wrapping_sub, isize);
+#[cfg(has_i128)]
+wrapping_impl!(WrappingSub, wrapping_sub, i128);
 
 /// Performs multiplication that wraps around on overflow.
-pub trait WrappingMul: Sized + Mul<Self, Output=Self> {
+pub trait WrappingMul: Sized + Mul<Self, Output = Self> {
     /// Wrapping (modular) multiplication. Computes `self * other`, wrapping around at the boundary
     /// of the type.
     fn wrapping_mul(&self, v: &Self) -> Self;
 }
 
 wrapping_impl!(WrappingMul, wrapping_mul, u8);
 wrapping_impl!(WrappingMul, wrapping_mul, u16);
 wrapping_impl!(WrappingMul, wrapping_mul, u32);
 wrapping_impl!(WrappingMul, wrapping_mul, u64);
 wrapping_impl!(WrappingMul, wrapping_mul, usize);
+#[cfg(has_i128)]
+wrapping_impl!(WrappingMul, wrapping_mul, u128);
 
 wrapping_impl!(WrappingMul, wrapping_mul, i8);
 wrapping_impl!(WrappingMul, wrapping_mul, i16);
 wrapping_impl!(WrappingMul, wrapping_mul, i32);
 wrapping_impl!(WrappingMul, wrapping_mul, i64);
 wrapping_impl!(WrappingMul, wrapping_mul, isize);
+#[cfg(has_i128)]
+wrapping_impl!(WrappingMul, wrapping_mul, i128);
+
+macro_rules! wrapping_unary_impl {
+    ($trait_name:ident, $method:ident, $t:ty) => {
+        impl $trait_name for $t {
+            #[inline]
+            fn $method(&self) -> $t {
+                <$t>::$method(*self)
+            }
+        }
+    };
+}
+
+/// Performs a negation that does not panic.
+pub trait WrappingNeg: Sized {
+    /// Wrapping (modular) negation. Computes `-self`,
+    /// wrapping around at the boundary of the type.
+    ///
+    /// Since unsigned types do not have negative equivalents
+    /// all applications of this function will wrap (except for `-0`).
+    /// For values smaller than the corresponding signed type's maximum
+    /// the result is the same as casting the corresponding signed value.
+    /// Any larger values are equivalent to `MAX + 1 - (val - MAX - 1)` where
+    /// `MAX` is the corresponding signed type's maximum.
+    ///
+    /// ```
+    /// use num_traits::WrappingNeg;
+    ///
+    /// assert_eq!(100i8.wrapping_neg(), -100);
+    /// assert_eq!((-100i8).wrapping_neg(), 100);
+    /// assert_eq!((-128i8).wrapping_neg(), -128); // wrapped!
+    /// ```
+    fn wrapping_neg(&self) -> Self;
+}
+
+wrapping_unary_impl!(WrappingNeg, wrapping_neg, u8);
+wrapping_unary_impl!(WrappingNeg, wrapping_neg, u16);
+wrapping_unary_impl!(WrappingNeg, wrapping_neg, u32);
+wrapping_unary_impl!(WrappingNeg, wrapping_neg, u64);
+wrapping_unary_impl!(WrappingNeg, wrapping_neg, usize);
+#[cfg(has_i128)]
+wrapping_unary_impl!(WrappingNeg, wrapping_neg, u128);
+wrapping_unary_impl!(WrappingNeg, wrapping_neg, i8);
+wrapping_unary_impl!(WrappingNeg, wrapping_neg, i16);
+wrapping_unary_impl!(WrappingNeg, wrapping_neg, i32);
+wrapping_unary_impl!(WrappingNeg, wrapping_neg, i64);
+wrapping_unary_impl!(WrappingNeg, wrapping_neg, isize);
+#[cfg(has_i128)]
+wrapping_unary_impl!(WrappingNeg, wrapping_neg, i128);
+
+macro_rules! wrapping_shift_impl {
+    ($trait_name:ident, $method:ident, $t:ty) => {
+        impl $trait_name for $t {
+            #[inline]
+            fn $method(&self, rhs: u32) -> $t {
+                <$t>::$method(*self, rhs)
+            }
+        }
+    };
+}
+
+/// Performs a left shift that does not panic.
+pub trait WrappingShl: Sized + Shl<usize, Output = Self> {
+    /// Panic-free bitwise shift-left; yields `self << mask(rhs)`,
+    /// where `mask` removes any high order bits of `rhs` that would
+    /// cause the shift to exceed the bitwidth of the type.
+    ///
+    /// ```
+    /// use num_traits::WrappingShl;
+    ///
+    /// let x: u16 = 0x0001;
+    ///
+    /// assert_eq!(WrappingShl::wrapping_shl(&x, 0),  0x0001);
+    /// assert_eq!(WrappingShl::wrapping_shl(&x, 1),  0x0002);
+    /// assert_eq!(WrappingShl::wrapping_shl(&x, 15), 0x8000);
+    /// assert_eq!(WrappingShl::wrapping_shl(&x, 16), 0x0001);
+    /// ```
+    fn wrapping_shl(&self, rhs: u32) -> Self;
+}
+
+wrapping_shift_impl!(WrappingShl, wrapping_shl, u8);
+wrapping_shift_impl!(WrappingShl, wrapping_shl, u16);
+wrapping_shift_impl!(WrappingShl, wrapping_shl, u32);
+wrapping_shift_impl!(WrappingShl, wrapping_shl, u64);
+wrapping_shift_impl!(WrappingShl, wrapping_shl, usize);
+#[cfg(has_i128)]
+wrapping_shift_impl!(WrappingShl, wrapping_shl, u128);
+
+wrapping_shift_impl!(WrappingShl, wrapping_shl, i8);
+wrapping_shift_impl!(WrappingShl, wrapping_shl, i16);
+wrapping_shift_impl!(WrappingShl, wrapping_shl, i32);
+wrapping_shift_impl!(WrappingShl, wrapping_shl, i64);
+wrapping_shift_impl!(WrappingShl, wrapping_shl, isize);
+#[cfg(has_i128)]
+wrapping_shift_impl!(WrappingShl, wrapping_shl, i128);
+
+/// Performs a right shift that does not panic.
+pub trait WrappingShr: Sized + Shr<usize, Output = Self> {
+    /// Panic-free bitwise shift-right; yields `self >> mask(rhs)`,
+    /// where `mask` removes any high order bits of `rhs` that would
+    /// cause the shift to exceed the bitwidth of the type.
+    ///
+    /// ```
+    /// use num_traits::WrappingShr;
+    ///
+    /// let x: u16 = 0x8000;
+    ///
+    /// assert_eq!(WrappingShr::wrapping_shr(&x, 0),  0x8000);
+    /// assert_eq!(WrappingShr::wrapping_shr(&x, 1),  0x4000);
+    /// assert_eq!(WrappingShr::wrapping_shr(&x, 15), 0x0001);
+    /// assert_eq!(WrappingShr::wrapping_shr(&x, 16), 0x8000);
+    /// ```
+    fn wrapping_shr(&self, rhs: u32) -> Self;
+}
+
+wrapping_shift_impl!(WrappingShr, wrapping_shr, u8);
+wrapping_shift_impl!(WrappingShr, wrapping_shr, u16);
+wrapping_shift_impl!(WrappingShr, wrapping_shr, u32);
+wrapping_shift_impl!(WrappingShr, wrapping_shr, u64);
+wrapping_shift_impl!(WrappingShr, wrapping_shr, usize);
+#[cfg(has_i128)]
+wrapping_shift_impl!(WrappingShr, wrapping_shr, u128);
+
+wrapping_shift_impl!(WrappingShr, wrapping_shr, i8);
+wrapping_shift_impl!(WrappingShr, wrapping_shr, i16);
+wrapping_shift_impl!(WrappingShr, wrapping_shr, i32);
+wrapping_shift_impl!(WrappingShr, wrapping_shr, i64);
+wrapping_shift_impl!(WrappingShr, wrapping_shr, isize);
+#[cfg(has_i128)]
+wrapping_shift_impl!(WrappingShr, wrapping_shr, i128);
 
 // Well this is a bit funny, but all the more appropriate.
-impl<T: WrappingAdd> WrappingAdd for Wrapping<T> where Wrapping<T>: Add<Output = Wrapping<T>> {
+impl<T: WrappingAdd> WrappingAdd for Wrapping<T>
+where
+    Wrapping<T>: Add<Output = Wrapping<T>>,
+{
     fn wrapping_add(&self, v: &Self) -> Self {
         Wrapping(self.0.wrapping_add(&v.0))
     }
 }
-impl<T: WrappingSub> WrappingSub for Wrapping<T> where Wrapping<T>: Sub<Output = Wrapping<T>> {
+impl<T: WrappingSub> WrappingSub for Wrapping<T>
+where
+    Wrapping<T>: Sub<Output = Wrapping<T>>,
+{
     fn wrapping_sub(&self, v: &Self) -> Self {
         Wrapping(self.0.wrapping_sub(&v.0))
     }
 }
-impl<T: WrappingMul> WrappingMul for Wrapping<T> where Wrapping<T>: Mul<Output = Wrapping<T>> {
+impl<T: WrappingMul> WrappingMul for Wrapping<T>
+where
+    Wrapping<T>: Mul<Output = Wrapping<T>>,
+{
     fn wrapping_mul(&self, v: &Self) -> Self {
         Wrapping(self.0.wrapping_mul(&v.0))
     }
 }
-
+impl<T: WrappingNeg> WrappingNeg for Wrapping<T>
+where
+    Wrapping<T>: Neg<Output = Wrapping<T>>,
+{
+    fn wrapping_neg(&self) -> Self {
+        Wrapping(self.0.wrapping_neg())
+    }
+}
+impl<T: WrappingShl> WrappingShl for Wrapping<T>
+where
+    Wrapping<T>: Shl<usize, Output = Wrapping<T>>,
+{
+    fn wrapping_shl(&self, rhs: u32) -> Self {
+        Wrapping(self.0.wrapping_shl(rhs))
+    }
+}
+impl<T: WrappingShr> WrappingShr for Wrapping<T>
+where
+    Wrapping<T>: Shr<usize, Output = Wrapping<T>>,
+{
+    fn wrapping_shr(&self, rhs: u32) -> Self {
+        Wrapping(self.0.wrapping_shr(rhs))
+    }
+}
 
 #[test]
 fn test_wrapping_traits() {
-    fn wrapping_add<T: WrappingAdd>(a: T, b: T) -> T { a.wrapping_add(&b) }
-    fn wrapping_sub<T: WrappingSub>(a: T, b: T) -> T { a.wrapping_sub(&b) }
-    fn wrapping_mul<T: WrappingMul>(a: T, b: T) -> T { a.wrapping_mul(&b) }
+    fn wrapping_add<T: WrappingAdd>(a: T, b: T) -> T {
+        a.wrapping_add(&b)
+    }
+    fn wrapping_sub<T: WrappingSub>(a: T, b: T) -> T {
+        a.wrapping_sub(&b)
+    }
+    fn wrapping_mul<T: WrappingMul>(a: T, b: T) -> T {
+        a.wrapping_mul(&b)
+    }
+    fn wrapping_neg<T: WrappingNeg>(a: T) -> T {
+        a.wrapping_neg()
+    }
+    fn wrapping_shl<T: WrappingShl>(a: T, b: u32) -> T {
+        a.wrapping_shl(b)
+    }
+    fn wrapping_shr<T: WrappingShr>(a: T, b: u32) -> T {
+        a.wrapping_shr(b)
+    }
     assert_eq!(wrapping_add(255, 1), 0u8);
     assert_eq!(wrapping_sub(0, 1), 255u8);
     assert_eq!(wrapping_mul(255, 2), 254u8);
+    assert_eq!(wrapping_neg(255), 1u8);
+    assert_eq!(wrapping_shl(255, 8), 255u8);
+    assert_eq!(wrapping_shr(255, 8), 255u8);
     assert_eq!(wrapping_add(255, 1), (Wrapping(255u8) + Wrapping(1u8)).0);
     assert_eq!(wrapping_sub(0, 1), (Wrapping(0u8) - Wrapping(1u8)).0);
     assert_eq!(wrapping_mul(255, 2), (Wrapping(255u8) * Wrapping(2u8)).0);
+    // TODO: Test for Wrapping::Neg. Not possible yet since core::ops::Neg was
+    // only added to core::num::Wrapping<_> in Rust 1.10.
+    assert_eq!(wrapping_shl(255, 8), (Wrapping(255u8) << 8).0);
+    assert_eq!(wrapping_shr(255, 8), (Wrapping(255u8) >> 8).0);
 }
 
 #[test]
 fn wrapping_is_wrappingadd() {
     fn require_wrappingadd<T: WrappingAdd>(_: &T) {}
     require_wrappingadd(&Wrapping(42));
 }
 
@@ -120,8 +315,23 @@ fn wrapping_is_wrappingsub() {
     require_wrappingsub(&Wrapping(42));
 }
 
 #[test]
 fn wrapping_is_wrappingmul() {
     fn require_wrappingmul<T: WrappingMul>(_: &T) {}
     require_wrappingmul(&Wrapping(42));
 }
+
+// TODO: Test for Wrapping::Neg. Not possible yet since core::ops::Neg was
+// only added to core::num::Wrapping<_> in Rust 1.10.
+
+#[test]
+fn wrapping_is_wrappingshl() {
+    fn require_wrappingshl<T: WrappingShl>(_: &T) {}
+    require_wrappingshl(&Wrapping(42));
+}
+
+#[test]
+fn wrapping_is_wrappingshr() {
+    fn require_wrappingshr<T: WrappingShr>(_: &T) {}
+    require_wrappingshr(&Wrapping(42));
+}
diff --git a/third_party/rust/num-traits/src/pow.rs b/third_party/rust/num-traits/src/pow.rs
--- a/third_party/rust/num-traits/src/pow.rs
+++ b/third_party/rust/num-traits/src/pow.rs
@@ -1,70 +1,259 @@
+use core::num::Wrapping;
 use core::ops::Mul;
-use {One, CheckedMul};
+use {CheckedMul, One};
+
+/// Binary operator for raising a value to a power.
+pub trait Pow<RHS> {
+    /// The result after applying the operator.
+    type Output;
+
+    /// Returns `self` to the power `rhs`.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use num_traits::Pow;
+    /// assert_eq!(Pow::pow(10u32, 2u32), 100);
+    /// ```
+    fn pow(self, rhs: RHS) -> Self::Output;
+}
+
+macro_rules! pow_impl {
+    ($t:ty) => {
+        pow_impl!($t, u8);
+        pow_impl!($t, usize);
+
+        // FIXME: these should be possible
+        // pow_impl!($t, u16);
+        // pow_impl!($t, u32);
+        // pow_impl!($t, u64);
+    };
+    ($t:ty, $rhs:ty) => {
+        pow_impl!($t, $rhs, usize, pow);
+    };
+    ($t:ty, $rhs:ty, $desired_rhs:ty, $method:expr) => {
+        impl Pow<$rhs> for $t {
+            type Output = $t;
+            #[inline]
+            fn pow(self, rhs: $rhs) -> $t {
+                ($method)(self, <$desired_rhs>::from(rhs))
+            }
+        }
+
+        impl<'a> Pow<&'a $rhs> for $t {
+            type Output = $t;
+            #[inline]
+            fn pow(self, rhs: &'a $rhs) -> $t {
+                ($method)(self, <$desired_rhs>::from(*rhs))
+            }
+        }
+
+        impl<'a> Pow<$rhs> for &'a $t {
+            type Output = $t;
+            #[inline]
+            fn pow(self, rhs: $rhs) -> $t {
+                ($method)(*self, <$desired_rhs>::from(rhs))
+            }
+        }
+
+        impl<'a, 'b> Pow<&'a $rhs> for &'b $t {
+            type Output = $t;
+            #[inline]
+            fn pow(self, rhs: &'a $rhs) -> $t {
+                ($method)(*self, <$desired_rhs>::from(*rhs))
+            }
+        }
+    };
+}
+
+pow_impl!(u8, u8, u32, u8::pow);
+pow_impl!(u8, u16, u32, u8::pow);
+pow_impl!(u8, u32, u32, u8::pow);
+pow_impl!(u8, usize);
+pow_impl!(i8, u8, u32, i8::pow);
+pow_impl!(i8, u16, u32, i8::pow);
+pow_impl!(i8, u32, u32, i8::pow);
+pow_impl!(i8, usize);
+pow_impl!(u16, u8, u32, u16::pow);
+pow_impl!(u16, u16, u32, u16::pow);
+pow_impl!(u16, u32, u32, u16::pow);
+pow_impl!(u16, usize);
+pow_impl!(i16, u8, u32, i16::pow);
+pow_impl!(i16, u16, u32, i16::pow);
+pow_impl!(i16, u32, u32, i16::pow);
+pow_impl!(i16, usize);
+pow_impl!(u32, u8, u32, u32::pow);
+pow_impl!(u32, u16, u32, u32::pow);
+pow_impl!(u32, u32, u32, u32::pow);
+pow_impl!(u32, usize);
+pow_impl!(i32, u8, u32, i32::pow);
+pow_impl!(i32, u16, u32, i32::pow);
+pow_impl!(i32, u32, u32, i32::pow);
+pow_impl!(i32, usize);
+pow_impl!(u64, u8, u32, u64::pow);
+pow_impl!(u64, u16, u32, u64::pow);
+pow_impl!(u64, u32, u32, u64::pow);
+pow_impl!(u64, usize);
+pow_impl!(i64, u8, u32, i64::pow);
+pow_impl!(i64, u16, u32, i64::pow);
+pow_impl!(i64, u32, u32, i64::pow);
+pow_impl!(i64, usize);
+
+#[cfg(has_i128)]
+pow_impl!(u128, u8, u32, u128::pow);
+#[cfg(has_i128)]
+pow_impl!(u128, u16, u32, u128::pow);
+#[cfg(has_i128)]
+pow_impl!(u128, u32, u32, u128::pow);
+#[cfg(has_i128)]
+pow_impl!(u128, usize);
+
+#[cfg(has_i128)]
+pow_impl!(i128, u8, u32, i128::pow);
+#[cfg(has_i128)]
+pow_impl!(i128, u16, u32, i128::pow);
+#[cfg(has_i128)]
+pow_impl!(i128, u32, u32, i128::pow);
+#[cfg(has_i128)]
+pow_impl!(i128, usize);
+
+pow_impl!(usize, u8, u32, usize::pow);
+pow_impl!(usize, u16, u32, usize::pow);
+pow_impl!(usize, u32, u32, usize::pow);
+pow_impl!(usize, usize);
+pow_impl!(isize, u8, u32, isize::pow);
+pow_impl!(isize, u16, u32, isize::pow);
+pow_impl!(isize, u32, u32, isize::pow);
+pow_impl!(isize, usize);
+pow_impl!(Wrapping<u8>);
+pow_impl!(Wrapping<i8>);
+pow_impl!(Wrapping<u16>);
+pow_impl!(Wrapping<i16>);
+pow_impl!(Wrapping<u32>);
+pow_impl!(Wrapping<i32>);
+pow_impl!(Wrapping<u64>);
+pow_impl!(Wrapping<i64>);
+#[cfg(has_i128)]
+pow_impl!(Wrapping<u128>);
+#[cfg(has_i128)]
+pow_impl!(Wrapping<i128>);
+pow_impl!(Wrapping<usize>);
+pow_impl!(Wrapping<isize>);
+
+// FIXME: these should be possible
+// pow_impl!(u8, u64);
+// pow_impl!(i16, u64);
+// pow_impl!(i8, u64);
+// pow_impl!(u16, u64);
+// pow_impl!(u32, u64);
+// pow_impl!(i32, u64);
+// pow_impl!(u64, u64);
+// pow_impl!(i64, u64);
+// pow_impl!(usize, u64);
+// pow_impl!(isize, u64);
+
+#[cfg(any(feature = "std", feature = "libm"))]
+mod float_impls {
+    use super::Pow;
+    use Float;
+
+    pow_impl!(f32, i8, i32, <f32 as Float>::powi);
+    pow_impl!(f32, u8, i32, <f32 as Float>::powi);
+    pow_impl!(f32, i16, i32, <f32 as Float>::powi);
+    pow_impl!(f32, u16, i32, <f32 as Float>::powi);
+    pow_impl!(f32, i32, i32, <f32 as Float>::powi);
+    pow_impl!(f64, i8, i32, <f64 as Float>::powi);
+    pow_impl!(f64, u8, i32, <f64 as Float>::powi);
+    pow_impl!(f64, i16, i32, <f64 as Float>::powi);
+    pow_impl!(f64, u16, i32, <f64 as Float>::powi);
+    pow_impl!(f64, i32, i32, <f64 as Float>::powi);
+    pow_impl!(f32, f32, f32, <f32 as Float>::powf);
+    pow_impl!(f64, f32, f64, <f64 as Float>::powf);
+    pow_impl!(f64, f64, f64, <f64 as Float>::powf);
+}
 
 /// Raises a value to the power of exp, using exponentiation by squaring.
 ///
+/// Note that `0⁰` (`pow(0, 0)`) returns `1`. Mathematically this is undefined.
+///
 /// # Example
 ///
 /// ```rust
 /// use num_traits::pow;
 ///
 /// assert_eq!(pow(2i8, 4), 16);
 /// assert_eq!(pow(6u8, 3), 216);
+/// assert_eq!(pow(0u8, 0), 1); // Be aware if this case affects you
 /// ```
 #[inline]
 pub fn pow<T: Clone + One + Mul<T, Output = T>>(mut base: T, mut exp: usize) -> T {
-    if exp == 0 { return T::one() }
+    if exp == 0 {
+        return T::one();
+    }
 
     while exp & 1 == 0 {
         base = base.clone() * base;
         exp >>= 1;
     }
-    if exp == 1 { return base }
+    if exp == 1 {
+        return base;
+    }
 
     let mut acc = base.clone();
     while exp > 1 {
         exp >>= 1;
         base = base.clone() * base;
         if exp & 1 == 1 {
             acc = acc * base.clone();
         }
     }
     acc
 }
 
 /// Raises a value to the power of exp, returning `None` if an overflow occurred.
 ///
+/// Note that `0⁰` (`checked_pow(0, 0)`) returns `Some(1)`. Mathematically this is undefined.
+///
 /// Otherwise same as the `pow` function.
 ///
 /// # Example
 ///
 /// ```rust
 /// use num_traits::checked_pow;
 ///
 /// assert_eq!(checked_pow(2i8, 4), Some(16));
 /// assert_eq!(checked_pow(7i8, 8), None);
 /// assert_eq!(checked_pow(7u32, 8), Some(5_764_801));
+/// assert_eq!(checked_pow(0u32, 0), Some(1)); // Be aware if this case affect you
 /// ```
 #[inline]
 pub fn checked_pow<T: Clone + One + CheckedMul>(mut base: T, mut exp: usize) -> Option<T> {
-    if exp == 0 { return Some(T::one()) }
+    if exp == 0 {
+        return Some(T::one());
+    }
 
     macro_rules! optry {
-        ( $ expr : expr ) => {
-            if let Some(val) = $expr { val } else { return None }
-        }
+        ($expr:expr) => {
+            if let Some(val) = $expr {
+                val
+            } else {
+                return None;
+            }
+        };
     }
 
     while exp & 1 == 0 {
         base = optry!(base.checked_mul(&base));
         exp >>= 1;
     }
-    if exp == 1 { return Some(base) }
+    if exp == 1 {
+        return Some(base);
+    }
 
     let mut acc = base.clone();
     while exp > 1 {
         exp >>= 1;
         base = optry!(base.checked_mul(&base));
         if exp & 1 == 1 {
             acc = optry!(acc.checked_mul(&base));
         }
diff --git a/third_party/rust/num-traits/src/real.rs b/third_party/rust/num-traits/src/real.rs
--- a/third_party/rust/num-traits/src/real.rs
+++ b/third_party/rust/num-traits/src/real.rs
@@ -1,29 +1,25 @@
-use std::ops::Neg;
+#![cfg(any(feature = "std", feature = "libm"))]
 
-use {Num, NumCast, Float};
+use core::ops::Neg;
+
+use {Float, Num, NumCast};
 
 // NOTE: These doctests have the same issue as those in src/float.rs.
 // They're testing the inherent methods directly, and not those of `Real`.
 
 /// A trait for real number types that do not necessarily have
 /// floating-point-specific characteristics such as NaN and infinity.
 ///
 /// See [this Wikipedia article](https://en.wikipedia.org/wiki/Real_data_type)
 /// for a list of data types that could meaningfully implement this trait.
 ///
-/// This trait is only available with the `std` feature.
-pub trait Real
-    : Num
-    + Copy
-    + NumCast
-    + PartialOrd
-    + Neg<Output = Self>
-{
+/// This trait is only available with the `std` feature, or with the `libm` feature otherwise.
+pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
     /// Returns the smallest finite value that this type can represent.
     ///
     /// ```
     /// use num_traits::real::Real;
     /// use std::f64;
     ///
     /// let x: f64 = Real::min_value();
     ///
@@ -210,18 +206,20 @@ pub trait Real
     ///
     /// assert!(!f.is_sign_negative());
     /// assert!(g.is_sign_negative());
     /// assert!(!nan.is_sign_negative());
     /// ```
     fn is_sign_negative(self) -> bool;
 
     /// Fused multiply-add. Computes `(self * a) + b` with only one rounding
-    /// error. This produces a more accurate result with better performance than
-    /// a separate multiplication operation followed by an add.
+    /// error, yielding a more accurate result than an unfused multiply-add.
+    ///
+    /// Using `mul_add` can be more performant than an unfused multiply-add if
+    /// the target architecture has a dedicated `fma` CPU instruction.
     ///
     /// ```
     /// use num_traits::real::Real;
     ///
     /// let m = 10.0;
     /// let x = 4.0;
     /// let b = 60.0;
     ///
@@ -777,150 +775,60 @@ pub trait Real
     /// let abs_difference = (f - e).abs();
     ///
     /// assert!(abs_difference < 1.0e-10);
     /// ```
     fn atanh(self) -> Self;
 }
 
 impl<T: Float> Real for T {
-    fn min_value() -> Self {
-        Self::min_value()
-    }
-    fn min_positive_value() -> Self {
-        Self::min_positive_value()
-    }
-    fn epsilon() -> Self {
-        Self::epsilon()
-    }
-    fn max_value() -> Self {
-        Self::max_value()
-    }
-    fn floor(self) -> Self {
-        self.floor()
-    }
-    fn ceil(self) -> Self {
-        self.ceil()
-    }
-    fn round(self) -> Self {
-        self.round()
-    }
-    fn trunc(self) -> Self {
-        self.trunc()
-    }
-    fn fract(self) -> Self {
-        self.fract()
-    }
-    fn abs(self) -> Self {
-        self.abs()
-    }
-    fn signum(self) -> Self {
-        self.signum()
-    }
-    fn is_sign_positive(self) -> bool {
-        self.is_sign_positive()
-    }
-    fn is_sign_negative(self) -> bool {
-        self.is_sign_negative()
-    }
-    fn mul_add(self, a: Self, b: Self) -> Self {
-        self.mul_add(a, b)
-    }
-    fn recip(self) -> Self {
-        self.recip()
-    }
-    fn powi(self, n: i32) -> Self {
-        self.powi(n)
-    }
-    fn powf(self, n: Self) -> Self {
-        self.powf(n)
-    }
-    fn sqrt(self) -> Self {
-        self.sqrt()
-    }
-    fn exp(self) -> Self {
-        self.exp()
-    }
-    fn exp2(self) -> Self {
-        self.exp2()
-    }
-    fn ln(self) -> Self {
-        self.ln()
-    }
-    fn log(self, base: Self) -> Self {
-        self.log(base)
-    }
-    fn log2(self) -> Self {
-        self.log2()
+    forward! {
+        Float::min_value() -> Self;
+        Float::min_positive_value() -> Self;
+        Float::epsilon() -> Self;
+        Float::max_value() -> Self;
     }
-    fn log10(self) -> Self {
-        self.log10()
-    }
-    fn to_degrees(self) -> Self {
-        self.to_degrees()
-    }
-    fn to_radians(self) -> Self {
-        self.to_radians()
-    }
-    fn max(self, other: Self) -> Self {
-        self.max(other)
-    }
-    fn min(self, other: Self) -> Self {
-        self.min(other)
-    }
-    fn abs_sub(self, other: Self) -> Self {
-        self.abs_sub(other)
-    }
-    fn cbrt(self) -> Self {
-        self.cbrt()
-    }
-    fn hypot(self, other: Self) -> Self {
-        self.hypot(other)
-    }
-    fn sin(self) -> Self {
-        self.sin()
-    }
-    fn cos(self) -> Self {
-        self.cos()
-    }
-    fn tan(self) -> Self {
-        self.tan()
-    }
-    fn asin(self) -> Self {
-        self.asin()
-    }
-    fn acos(self) -> Self {
-        self.acos()
-    }
-    fn atan(self) -> Self {
-        self.atan()
-    }
-    fn atan2(self, other: Self) -> Self {
-        self.atan2(other)
-    }
-    fn sin_cos(self) -> (Self, Self) {
-        self.sin_cos()
-    }
-    fn exp_m1(self) -> Self {
-        self.exp_m1()
-    }
-    fn ln_1p(self) -> Self {
-        self.ln_1p()
-    }
-    fn sinh(self) -> Self {
-        self.sinh()
-    }
-    fn cosh(self) -> Self {
-        self.cosh()
-    }
-    fn tanh(self) -> Self {
-        self.tanh()
-    }
-    fn asinh(self) -> Self {
-        self.asinh()
-    }
-    fn acosh(self) -> Self {
-        self.acosh()
-    }
-    fn atanh(self) -> Self {
-        self.atanh()
+    forward! {
+        Float::floor(self) -> Self;
+        Float::ceil(self) -> Self;
+        Float::round(self) -> Self;
+        Float::trunc(self) -> Self;
+        Float::fract(self) -> Self;
+        Float::abs(self) -> Self;
+        Float::signum(self) -> Self;
+        Float::is_sign_positive(self) -> bool;
+        Float::is_sign_negative(self) -> bool;
+        Float::mul_add(self, a: Self, b: Self) -> Self;
+        Float::recip(self) -> Self;
+        Float::powi(self, n: i32) -> Self;
+        Float::powf(self, n: Self) -> Self;
+        Float::sqrt(self) -> Self;
+        Float::exp(self) -> Self;
+        Float::exp2(self) -> Self;
+        Float::ln(self) -> Self;
+        Float::log(self, base: Self) -> Self;
+        Float::log2(self) -> Self;
+        Float::log10(self) -> Self;
+        Float::to_degrees(self) -> Self;
+        Float::to_radians(self) -> Self;
+        Float::max(self, other: Self) -> Self;
+        Float::min(self, other: Self) -> Self;
+        Float::abs_sub(self, other: Self) -> Self;
+        Float::cbrt(self) -> Self;
+        Float::hypot(self, other: Self) -> Self;
+        Float::sin(self) -> Self;
+        Float::cos(self) -> Self;
+        Float::tan(self) -> Self;
+        Float::asin(self) -> Self;
+        Float::acos(self) -> Self;
+        Float::atan(self) -> Self;
+        Float::atan2(self, other: Self) -> Self;
+        Float::sin_cos(self) -> (Self, Self);
+        Float::exp_m1(self) -> Self;
+        Float::ln_1p(self) -> Self;
+        Float::sinh(self) -> Self;
+        Float::cosh(self) -> Self;
+        Float::tanh(self) -> Self;
+        Float::asinh(self) -> Self;
+        Float::acosh(self) -> Self;
+        Float::atanh(self) -> Self;
     }
 }
diff --git a/third_party/rust/num-traits/src/sign.rs b/third_party/rust/num-traits/src/sign.rs
--- a/third_party/rust/num-traits/src/sign.rs
+++ b/third_party/rust/num-traits/src/sign.rs
@@ -1,12 +1,12 @@
+use core::num::Wrapping;
 use core::ops::Neg;
-use core::{f32, f64};
-use core::num::Wrapping;
 
+use float::FloatCore;
 use Num;
 
 /// Useful functions for signed numbers (i.e. numbers that can be negative).
 pub trait Signed: Sized + Num + Neg<Output = Self> {
     /// Computes the absolute value.
     ///
     /// For `f32` and `f64`, `NaN` will be returned if the number is `NaN`.
     ///
@@ -69,17 +69,22 @@ macro_rules! signed_impl {
             #[inline]
             fn is_negative(&self) -> bool { *self < 0 }
         }
     )*)
 }
 
 signed_impl!(isize i8 i16 i32 i64);
 
-impl<T: Signed> Signed for Wrapping<T> where Wrapping<T>: Num + Neg<Output=Wrapping<T>>
+#[cfg(has_i128)]
+signed_impl!(i128);
+
+impl<T: Signed> Signed for Wrapping<T>
+where
+    Wrapping<T>: Num + Neg<Output = Wrapping<T>>,
 {
     #[inline]
     fn abs(&self) -> Self {
         Wrapping(self.0.abs())
     }
 
     #[inline]
     fn abs_sub(&self, other: &Self) -> Self {
@@ -87,95 +92,74 @@ impl<T: Signed> Signed for Wrapping<T> w
     }
 
     #[inline]
     fn signum(&self) -> Self {
         Wrapping(self.0.signum())
     }
 
     #[inline]
-    fn is_positive(&self) -> bool { self.0.is_positive() }
+    fn is_positive(&self) -> bool {
+        self.0.is_positive()
+    }
 
     #[inline]
-    fn is_negative(&self) -> bool { self.0.is_negative() }
+    fn is_negative(&self) -> bool {
+        self.0.is_negative()
+    }
 }
 
 macro_rules! signed_float_impl {
-    ($t:ty, $nan:expr, $inf:expr, $neg_inf:expr) => {
+    ($t:ty) => {
         impl Signed for $t {
             /// Computes the absolute value. Returns `NAN` if the number is `NAN`.
             #[inline]
-            #[cfg(feature = "std")]
             fn abs(&self) -> $t {
-                (*self).abs()
-            }
-
-            /// Computes the absolute value. Returns `NAN` if the number is `NAN`.
-            #[inline]
-            #[cfg(not(feature = "std"))]
-            fn abs(&self) -> $t {
-                if self.is_positive() {
-                    *self
-                } else if self.is_negative() {
-                    -*self
-                } else {
-                    $nan
-                }
+                FloatCore::abs(*self)
             }
 
             /// The positive difference of two numbers. Returns `0.0` if the number is
             /// less than or equal to `other`, otherwise the difference between`self`
             /// and `other` is returned.
             #[inline]
             fn abs_sub(&self, other: &$t) -> $t {
-                if *self <= *other { 0. } else { *self - *other }
+                if *self <= *other {
+                    0.
+                } else {
+                    *self - *other
+                }
             }
 
             /// # Returns
             ///
             /// - `1.0` if the number is positive, `+0.0` or `INFINITY`
             /// - `-1.0` if the number is negative, `-0.0` or `NEG_INFINITY`
             /// - `NAN` if the number is NaN
             #[inline]
-            #[cfg(feature = "std")]
             fn signum(&self) -> $t {
-                use Float;
-                Float::signum(*self)
-            }
-
-            /// # Returns
-            ///
-            /// - `1.0` if the number is positive, `+0.0` or `INFINITY`
-            /// - `-1.0` if the number is negative, `-0.0` or `NEG_INFINITY`
-            /// - `NAN` if the number is NaN
-            #[inline]
-            #[cfg(not(feature = "std"))]
-            fn signum(&self) -> $t {
-                if self.is_positive() {
-                    1.0
-                } else if self.is_negative() {
-                    -1.0
-                } else {
-                    $nan
-                }
+                FloatCore::signum(*self)
             }
 
             /// Returns `true` if the number is positive, including `+0.0` and `INFINITY`
             #[inline]
-            fn is_positive(&self) -> bool { *self > 0.0 || (1.0 / *self) == $inf }
+            fn is_positive(&self) -> bool {
+                FloatCore::is_sign_positive(*self)
+            }
 
             /// Returns `true` if the number is negative, including `-0.0` and `NEG_INFINITY`
             #[inline]
-            fn is_negative(&self) -> bool { *self < 0.0 || (1.0 / *self) == $neg_inf }
+            fn is_negative(&self) -> bool {
+                FloatCore::is_sign_negative(*self)
+            }
         }
-    }
+    };
 }
 
-signed_float_impl!(f32, f32::NAN, f32::INFINITY, f32::NEG_INFINITY);
-signed_float_impl!(f64, f64::NAN, f64::INFINITY, f64::NEG_INFINITY);
+signed_float_impl!(f32);
+signed_float_impl!(f64);
 
 /// Computes the absolute value.
 ///
 /// For `f32` and `f64`, `NaN` will be returned if the number is `NaN`
 ///
 /// For signed integers, `::MIN` will be returned if the number is `::MIN`.
 #[inline(always)]
 pub fn abs<T: Signed>(value: T) -> T {
@@ -199,38 +183,42 @@ pub fn abs_sub<T: Signed>(x: T, y: T) ->
 /// * `-1.0` if the number is negative, `-0.0` or `NEG_INFINITY`
 /// * `NaN` if the number is `NaN`
 ///
 /// For signed integers:
 ///
 /// * `0` if the number is zero
 /// * `1` if the number is positive
 /// * `-1` if the number is negative
-#[inline(always)] pub fn signum<T: Signed>(value: T) -> T { value.signum() }
+#[inline(always)]
+pub fn signum<T: Signed>(value: T) -> T {
+    value.signum()
+}
 
 /// A trait for values which cannot be negative
 pub trait Unsigned: Num {}
 
 macro_rules! empty_trait_impl {
     ($name:ident for $($t:ty)*) => ($(
         impl $name for $t {}
     )*)
 }
 
 empty_trait_impl!(Unsigned for usize u8 u16 u32 u64);
+#[cfg(has_i128)]
+empty_trait_impl!(Unsigned for u128);
 
 impl<T: Unsigned> Unsigned for Wrapping<T> where Wrapping<T>: Num {}
 
 #[test]
 fn unsigned_wrapping_is_unsigned() {
     fn require_unsigned<T: Unsigned>(_: &T) {}
     require_unsigned(&Wrapping(42_u32));
 }
-/*
+
 // Commenting this out since it doesn't compile on Rust 1.8,
 // because on this version Wrapping doesn't implement Neg and therefore can't
 // implement Signed.
-#[test]
-fn signed_wrapping_is_signed() {
-    fn require_signed<T: Signed>(_: &T) {}
-    require_signed(&Wrapping(-42));
-}
-*/
+// #[test]
+// fn signed_wrapping_is_signed() {
+//     fn require_signed<T: Signed>(_: &T) {}
+//     require_signed(&Wrapping(-42));
+// }
diff --git a/third_party/rust/num-traits/tests/cast.rs b/third_party/rust/num-traits/tests/cast.rs
new file mode 100644
--- /dev/null
+++ b/third_party/rust/num-traits/tests/cast.rs
@@ -0,0 +1,397 @@
+//! Tests of `num_traits::cast`.
+
+#![no_std]
+
+#[cfg(feature = "std")]
+#[macro_use]
+extern crate std;
+
+extern crate num_traits;
+
+use num_traits::cast::*;
+use num_traits::Bounded;
+
+use core::{f32, f64};
+#[cfg(has_i128)]
+use core::{i128, u128};
+use core::{i16, i32, i64, i8, isize};
+use core::{u16, u32, u64, u8, usize};
+
+use core::fmt::Debug;
+use core::mem;
+use core::num::Wrapping;
+
+#[test]
+fn to_primitive_float() {
+    let f32_toolarge = 1e39f64;
+    assert_eq!(f32_toolarge.to_f32(), Some(f32::INFINITY));
+    assert_eq!((-f32_toolarge).to_f32(), Some(f32::NEG_INFINITY));
+    assert_eq!((f32::MAX as f64).to_f32(), Some(f32::MAX));
+    assert_eq!((-f32::MAX as f64).to_f32(), Some(-f32::MAX));
+    assert_eq!(f64::INFINITY.to_f32(), Some(f32::INFINITY));
+    assert_eq!((f64::NEG_INFINITY).to_f32(), Some(f32::NEG_INFINITY));
+    assert!((f64::NAN).to_f32().map_or(false, |f| f.is_nan()));
+}
+
+#[test]
+fn wrapping_to_primitive() {
+    macro_rules! test_wrapping_to_primitive {
+        ($($t:ty)+) => {
+            $({
+                let i: $t = 0;
+                let w = Wrapping(i);
+                assert_eq!(i.to_u8(),    w.to_u8());
+                assert_eq!(i.to_u16(),   w.to_u16());
+                assert_eq!(i.to_u32(),   w.to_u32());
+                assert_eq!(i.to_u64(),   w.to_u64());
+                assert_eq!(i.to_usize(), w.to_usize());
+                assert_eq!(i.to_i8(),    w.to_i8());
+                assert_eq!(i.to_i16(),   w.to_i16());
+                assert_eq!(i.to_i32(),   w.to_i32());
+                assert_eq!(i.to_i64(),   w.to_i64());
+                assert_eq!(i.to_isize(), w.to_isize());
+                assert_eq!(i.to_f32(),   w.to_f32());
+                assert_eq!(i.to_f64(),   w.to_f64());
+            })+
+        };
+    }
+
+    test_wrapping_to_primitive!(usize u8 u16 u32 u64 isize i8 i16 i32 i64);
+}
+
+#[test]
+fn wrapping_is_toprimitive() {
+    fn require_toprimitive<T: ToPrimitive>(_: &T) {}
+    require_toprimitive(&Wrapping(42));
+}
+
+#[test]
+fn wrapping_is_fromprimitive() {
+    fn require_fromprimitive<T: FromPrimitive>(_: &T) {}
+    require_fromprimitive(&Wrapping(42));
+}
+
+#[test]
+fn wrapping_is_numcast() {
+    fn require_numcast<T: NumCast>(_: &T) {}
+    require_numcast(&Wrapping(42));
+}
+
+#[test]
+fn as_primitive() {
+    let x: f32 = (1.625f64).as_();
+    assert_eq!(x, 1.625f32);
+
+    let x: f32 = (3.14159265358979323846f64).as_();
+    assert_eq!(x, 3.1415927f32);
+
+    let x: u8 = (768i16).as_();
+    assert_eq!(x, 0);
+}
+
+#[test]
+fn float_to_integer_checks_overflow() {
+    // This will overflow an i32
+    let source: f64 = 1.0e+123f64;
+
+    // Expect the overflow to be caught
+    assert_eq!(cast::<f64, i32>(source), None);
+}
+
+#[test]
+fn cast_to_int_checks_overflow() {
+    let big_f: f64 = 1.0e123;
+    let normal_f: f64 = 1.0;
+    let small_f: f64 = -1.0e123;
+    assert_eq!(None, cast::<f64, isize>(big_f));
+    assert_eq!(None, cast::<f64, i8>(big_f));
+    assert_eq!(None, cast::<f64, i16>(big_f));
+    assert_eq!(None, cast::<f64, i32>(big_f));
+    assert_eq!(None, cast::<f64, i64>(big_f));
+
+    assert_eq!(Some(normal_f as isize), cast::<f64, isize>(normal_f));
+    assert_eq!(Some(normal_f as i8), cast::<f64, i8>(normal_f));
+    assert_eq!(Some(normal_f as i16), cast::<f64, i16>(normal_f));
+    assert_eq!(Some(normal_f as i32), cast::<f64, i32>(normal_f));
+    assert_eq!(Some(normal_f as i64), cast::<f64, i64>(normal_f));
+
+    assert_eq!(None, cast::<f64, isize>(small_f));
+    assert_eq!(None, cast::<f64, i8>(small_f));
+    assert_eq!(None, cast::<f64, i16>(small_f));
+    assert_eq!(None, cast::<f64, i32>(small_f));
+    assert_eq!(None, cast::<f64, i64>(small_f));
+}
+
+#[test]
+fn cast_to_unsigned_int_checks_overflow() {
+    let big_f: f64 = 1.0e123;
+    let normal_f: f64 = 1.0;
+    let small_f: f64 = -1.0e123;
+    assert_eq!(None, cast::<f64, usize>(big_f));
+    assert_eq!(None, cast::<f64, u8>(big_f));
+    assert_eq!(None, cast::<f64, u16>(big_f));
+    assert_eq!(None, cast::<f64, u32>(big_f));
+    assert_eq!(None, cast::<f64, u64>(big_f));
+
+    assert_eq!(Some(normal_f as usize), cast::<f64, usize>(normal_f));
+    assert_eq!(Some(normal_f as u8), cast::<f64, u8>(normal_f));
+    assert_eq!(Some(normal_f as u16), cast::<f64, u16>(normal_f));
+    assert_eq!(Some(normal_f as u32), cast::<f64, u32>(normal_f));
+    assert_eq!(Some(normal_f as u64), cast::<f64, u64>(normal_f));
+
+    assert_eq!(None, cast::<f64, usize>(small_f));
+    assert_eq!(None, cast::<f64, u8>(small_f));
+    assert_eq!(None, cast::<f64, u16>(small_f));
+    assert_eq!(None, cast::<f64, u32>(small_f));
+    assert_eq!(None, cast::<f64, u64>(small_f));
+}
+
+#[test]
+#[cfg(has_i128)]
+fn cast_to_i128_checks_overflow() {
+    let big_f: f64 = 1.0e123;
+    let normal_f: f64 = 1.0;
+    let small_f: f64 = -1.0e123;
+    assert_eq!(None, cast::<f64, i128>(big_f));
+    assert_eq!(None, cast::<f64, u128>(big_f));
+
+    assert_eq!(Some(normal_f as i128), cast::<f64, i128>(normal_f));
+    assert_eq!(Some(normal_f as u128), cast::<f64, u128>(normal_f));
+
+    assert_eq!(None, cast::<f64, i128>(small_f));
+    assert_eq!(None, cast::<f64, u128>(small_f));
+}
+
+#[cfg(feature = "std")]
+fn dbg(args: ::core::fmt::Arguments) {
+    println!("{}", args);
+}
+
+#[cfg(not(feature = "std"))]
+fn dbg(_: ::core::fmt::Arguments) {}
+
+// Rust 1.8 doesn't handle cfg on macros correctly
+macro_rules! dbg { ($($tok:tt)*) => { dbg(format_args!($($tok)*)) } }
+
+macro_rules! float_test_edge {
+    ($f:ident -> $($t:ident)+) => { $({
+        dbg!("testing cast edge cases for {} -> {}", stringify!($f), stringify!($t));
+
+        let small = if $t::MIN == 0 || mem::size_of::<$t>() < mem::size_of::<$f>() {
+            $t::MIN as $f - 1.0
+        } else {
+            ($t::MIN as $f).raw_offset(1).floor()
+        };
+        let fmin = small.raw_offset(-1);
+        dbg!("  testing min {}\n\tvs. {:.0}\n\tand {:.0}", $t::MIN, fmin, small);
+        assert_eq!(Some($t::MIN), cast::<$f, $t>($t::MIN as $f));
+        assert_eq!(Some($t::MIN), cast::<$f, $t>(fmin));
+        assert_eq!(None, cast::<$f, $t>(small));
+
+        let (max, large) = if mem::size_of::<$t>() < mem::size_of::<$f>() {
+            ($t::MAX, $t::MAX as $f + 1.0)
+        } else {
+            let large = $t::MAX as $f; // rounds up!
+            let max = large.raw_offset(-1) as $t; // the next smallest possible
+            assert_eq!(max.count_ones(), $f::MANTISSA_DIGITS);
+            (max, large)
+        };
+        let fmax = large.raw_offset(-1);
+        dbg!("  testing max {}\n\tvs. {:.0}\n\tand {:.0}", max, fmax, large);
+        assert_eq!(Some(max), cast::<$f, $t>(max as $f));
+        assert_eq!(Some(max), cast::<$f, $t>(fmax));
+        assert_eq!(None, cast::<$f, $t>(large));
+
+        dbg!("  testing non-finite values");
+        assert_eq!(None, cast::<$f, $t>($f::NAN));
+        assert_eq!(None, cast::<$f, $t>($f::INFINITY));
+        assert_eq!(None, cast::<$f, $t>($f::NEG_INFINITY));
+    })+}
+}
+
+trait RawOffset: Sized {
+    type Raw;
+    fn raw_offset(self, offset: Self::Raw) -> Self;
+}
+
+impl RawOffset for f32 {
+    type Raw = i32;
+    fn raw_offset(self, offset: Self::Raw) -> Self {
+        unsafe {
+            let raw: Self::Raw = mem::transmute(self);
+            mem::transmute(raw + offset)
+        }
+    }
+}
+
+impl RawOffset for f64 {
+    type Raw = i64;
+    fn raw_offset(self, offset: Self::Raw) -> Self {
+        unsafe {
+            let raw: Self::Raw = mem::transmute(self);
+            mem::transmute(raw + offset)
+        }
+    }
+}
+
+#[test]
+fn cast_float_to_int_edge_cases() {
+    float_test_edge!(f32 -> isize i8 i16 i32 i64);
+    float_test_edge!(f32 -> usize u8 u16 u32 u64);
+    float_test_edge!(f64 -> isize i8 i16 i32 i64);
+    float_test_edge!(f64 -> usize u8 u16 u32 u64);
+}
+
+#[test]
+#[cfg(has_i128)]
+fn cast_float_to_i128_edge_cases() {
+    float_test_edge!(f32 -> i128 u128);
+    float_test_edge!(f64 -> i128 u128);
+}
+
+macro_rules! int_test_edge {
+    ($f:ident -> { $($t:ident)+ } with $BigS:ident $BigU:ident ) => { $({
+        fn test_edge() {
+            dbg!("testing cast edge cases for {} -> {}", stringify!($f), stringify!($t));
+
+            match ($f::MIN as $BigS).cmp(&($t::MIN as $BigS)) {
+                Greater => {
+                    assert_eq!(Some($f::MIN as $t), cast::<$f, $t>($f::MIN));
+                }
+                Equal => {
+                    assert_eq!(Some($t::MIN), cast::<$f, $t>($f::MIN));
+                }
+                Less => {
+                    let min = $t::MIN as $f;
+                    assert_eq!(Some($t::MIN), cast::<$f, $t>(min));
+                    assert_eq!(None, cast::<$f, $t>(min - 1));
+                }
+            }
+
+            match ($f::MAX as $BigU).cmp(&($t::MAX as $BigU)) {
+                Greater => {
+                    let max = $t::MAX as $f;
+                    assert_eq!(Some($t::MAX), cast::<$f, $t>(max));
+                    assert_eq!(None, cast::<$f, $t>(max + 1));
+                }
+                Equal => {
+                    assert_eq!(Some($t::MAX), cast::<$f, $t>($f::MAX));
+                }
+                Less => {
+                    assert_eq!(Some($f::MAX as $t), cast::<$f, $t>($f::MAX));
+                }
+            }
+        }
+        test_edge();
+    })+}
+}
+
+#[test]
+fn cast_int_to_int_edge_cases() {
+    use core::cmp::Ordering::*;
+
+    macro_rules! test_edge {
+        ($( $from:ident )+) => { $({
+            int_test_edge!($from -> { isize i8 i16 i32 i64 } with i64 u64);
+            int_test_edge!($from -> { usize u8 u16 u32 u64 } with i64 u64);
+        })+}
+    }
+
+    test_edge!(isize i8 i16 i32 i64);
+    test_edge!(usize u8 u16 u32 u64);
+}
+
+#[test]
+#[cfg(has_i128)]
+fn cast_int_to_128_edge_cases() {
+    use core::cmp::Ordering::*;
+
+    macro_rules! test_edge {
+        ($( $t:ident )+) => {
+            $(
+                int_test_edge!($t -> { i128 u128 } with i128 u128);
+            )+
+            int_test_edge!(i128 -> { $( $t )+ } with i128 u128);
+            int_test_edge!(u128 -> { $( $t )+ } with i128 u128);
+        }
+    }
+
+    test_edge!(isize i8 i16 i32 i64 i128);
+    test_edge!(usize u8 u16 u32 u64 u128);
+}
+
+#[test]
+fn newtype_from_primitive() {
+    #[derive(PartialEq, Debug)]
+    struct New<T>(T);
+
+    // minimal impl
+    impl<T: FromPrimitive> FromPrimitive for New<T> {
+        fn from_i64(n: i64) -> Option<Self> {
+            T::from_i64(n).map(New)
+        }
+
+        fn from_u64(n: u64) -> Option<Self> {
+            T::from_u64(n).map(New)
+        }
+    }
+
+    macro_rules! assert_eq_from {
+        ($( $from:ident )+) => {$(
+            assert_eq!(T::$from(Bounded::min_value()).map(New),
+                       New::<T>::$from(Bounded::min_value()));
+            assert_eq!(T::$from(Bounded::max_value()).map(New),
+                       New::<T>::$from(Bounded::max_value()));
+        )+}
+    }
+
+    fn check<T: PartialEq + Debug + FromPrimitive>() {
+        assert_eq_from!(from_i8 from_i16 from_i32 from_i64 from_isize);
+        assert_eq_from!(from_u8 from_u16 from_u32 from_u64 from_usize);
+        assert_eq_from!(from_f32 from_f64);
+    }
+
+    macro_rules! check {
+        ($( $ty:ty )+) => {$( check::<$ty>(); )+}
+    }
+    check!(i8 i16 i32 i64 isize);
+    check!(u8 u16 u32 u64 usize);
+}
+
+#[test]
+fn newtype_to_primitive() {
+    #[derive(PartialEq, Debug)]
+    struct New<T>(T);
+
+    // minimal impl
+    impl<T: ToPrimitive> ToPrimitive for New<T> {
+        fn to_i64(&self) -> Option<i64> {
+            self.0.to_i64()
+        }
+
+        fn to_u64(&self) -> Option<u64> {
+            self.0.to_u64()
+        }
+    }
+
+    macro_rules! assert_eq_to {
+        ($( $to:ident )+) => {$(
+            assert_eq!(T::$to(&Bounded::min_value()),
+                       New::<T>::$to(&New(Bounded::min_value())));
+            assert_eq!(T::$to(&Bounded::max_value()),
+                       New::<T>::$to(&New(Bounded::max_value())));
+        )+}
+    }
+
+    fn check<T: PartialEq + Debug + Bounded + ToPrimitive>() {
+        assert_eq_to!(to_i8 to_i16 to_i32 to_i64 to_isize);
+        assert_eq_to!(to_u8 to_u16 to_u32 to_u64 to_usize);
+        assert_eq_to!(to_f32 to_f64);
+    }
+
+    macro_rules! check {
+        ($( $ty:ty )+) => {$( check::<$ty>(); )+}
+    }
+    check!(i8 i16 i32 i64 isize);
+    check!(u8 u16 u32 u64 usize);
+}
diff --git a/third_party/rust/packed_simd/.cargo-checksum.json b/third_party/rust/packed_simd/.cargo-checksum.json
--- a/third_party/rust/packed_simd/.cargo-checksum.json
+++ b/third_party/rust/packed_simd/.cargo-checksum.json
@@ -1,1 +1,1 @@
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f9a8e7156b899ee9b9cd3f2dba9d13ec63289bea8c3ee9ae2e43ad9510288","src/v16.rs":"cb6465cf1e00bf530183af1819b9fe3d7eec978f8765d5e85d9b58a39a4b4045","src/v256.rs":"fe235017da18c7f3c361831c60e3173ad304d8ea1e95d64ebebc79da2d708511","src/v32.rs":"145d347855bac59b2de6508f9e594654e6c330423af9edc0e2ac8f4d1abdf45e","src/v512.rs":"f372f277f3e62eb5c945bb1c460333fdb17b6974fcc876633788ff53bded9599","src/v64.rs":"0b8079881b71575e3414be0b7f8f7eaba65281ba6732f2b2f61f73e95b6f48f7","src/vPtr.rs":"8b3e433d487180bb4304ff71245ecad90f0010f43e139a72027b672abe58facc","src/vSize.rs":"eda5aa020706cbf94d15bada41a0c2a35fc8f3f37cb7c2cd6f34d201399a495e","tests/endianness.rs":"5147f86d224c4c540b772033da2f994cad9bc9c035f38ec21e23bc4e55f8a759"},"package":null}
\ No newline at end of file
diff --git a/third_party/rust/packed_simd/Cargo.toml b/third_party/rust/packed_simd/Cargo.toml
--- a/third_party/rust/packed_simd/Cargo.toml
+++ b/third_party/rust/packed_simd/Cargo.toml
@@ -1,83 +1,46 @@
-# THIS FILE IS AUTOMATICALLY GENERATED BY CARGO
-#
-# When uploading crates to the registry Cargo will automatically
-# "normalize" Cargo.toml files for maximal compatibility
-# with all versions of Cargo and also rewrite `path` dependencies
-# to registry (e.g., crates.io) dependencies.
-#
-# If you are reading this file be aware that the original Cargo.toml
-# will likely look very different (and much more reasonable).
-# See Cargo.toml.orig for the original contents.
-
 [package]
-edition = "2018"
 name = "packed_simd"
 version = "0.3.9"
-build = "build.rs"
 description = "Portable Packed SIMD vectors"
-homepage = "https://github.com/rust-lang/packed_simd"
 documentation = "https://docs.rs/crate/packed_simd/"
-readme = "README.md"
-keywords = [
-    "simd",
-    "vector",
-    "portability",
-]
-categories = [
-    "hardware-support",
-    "concurrency",
-    "no-std",
-    "data-structures",
-]
+homepage = "https://github.com/rust-lang/packed_simd"
+repository = "https://github.com/rust-lang/packed_simd"
+keywords = ["simd", "vector", "portability"]
+categories = ["hardware-support", "concurrency", "no-std", "data-structures"]
 license = "MIT OR Apache-2.0"
-repository = "https://github.com/rust-lang/packed_simd"
+build = "build.rs"
+edition = "2018"
 
 [package.metadata.docs.rs]
 features = ["into_bits"]
-rustdoc-args = [
-    "--cfg",
-    "doc_cfg",
-]
-
-[dependencies.cfg-if]
-version = "1.0.0"
-
-[dependencies.core_arch]
-version = "0.1.5"
-optional = true
+rustdoc-args = ["--cfg", "doc_cfg"]
+# To build locally:
+# RUSTDOCFLAGS="--cfg doc_cfg" cargo +nightly doc --features into_bits --no-deps --open
 
-[dependencies.num-traits]
-version = "0.2.14"
-features = ["libm"]
-default-features = false
+[badges]
+is-it-maintained-issue-resolution = { repository = "rust-lang/packed_simd" }
+is-it-maintained-open-issues = { repository = "rust-lang/packed_simd" }
+maintenance = { status = "experimental" }
 
-[dev-dependencies.arrayvec]
-version = "^0.5"
-default-features = false
-
-[dev-dependencies.paste]
-version = "^1"
+[dependencies]
+cfg-if = "1.0.0"
+core_arch = { version = "0.1.5", optional = true }
+num-traits = { version = "0.2.14", default-features = false }
 
 [features]
 default = []
 into_bits = []
 libcore_neon = []
 
-[target."cfg(target_arch = \"x86_64\")".dependencies.sleef-sys]
+[dev-dependencies]
+paste = "^1"
+arrayvec = { version = "^0.5", default-features = false }
+
+[target.'cfg(target_arch = "x86_64")'.dependencies.sleef-sys]
 version = "0.1.2"
 optional = true
 
-[target.wasm32-unknown-unknown.dev-dependencies.wasm-bindgen]
-version = "=0.2.87"
-
-[target.wasm32-unknown-unknown.dev-dependencies.wasm-bindgen-test]
-version = "=0.3.37"
-
-[badges.is-it-maintained-issue-resolution]
-repository = "rust-lang/packed_simd"
-
-[badges.is-it-maintained-open-issues]
-repository = "rust-lang/packed_simd"
-
-[badges.maintenance]
-status = "experimental"
+[target.wasm32-unknown-unknown.dev-dependencies]
+# Keep in sync with the version on Dockerfile.
+wasm-bindgen = "=0.2.87"
+wasm-bindgen-test = "=0.3.37"
diff --git a/third_party/rust/packed_simd/rust-toolchain b/third_party/rust/packed_simd/rust-toolchain
deleted file mode 100644
--- a/third_party/rust/packed_simd/rust-toolchain
+++ /dev/null
@@ -1,1 +0,0 @@
-nightly
diff --git a/third_party/rust/packed_simd/src/api.rs b/third_party/rust/packed_simd/src/api.rs
--- a/third_party/rust/packed_simd/src/api.rs
+++ b/third_party/rust/packed_simd/src/api.rs
@@ -208,17 +208,16 @@ macro_rules! impl_f {
         impl_math_float_mul_add!([$elem_ty; $elem_n]: $tuple_id | $test_tt);
         impl_math_float_mul_adde!([$elem_ty; $elem_n]: $tuple_id | $test_tt);
         impl_math_float_powf!([$elem_ty; $elem_n]: $tuple_id | $test_tt);
         impl_math_float_recpre!([$elem_ty; $elem_n]: $tuple_id | $test_tt);
         impl_math_float_rsqrte!([$elem_ty; $elem_n]: $tuple_id | $test_tt);
         impl_math_float_sin!([$elem_ty; $elem_n]: $tuple_id | $test_tt);
         impl_math_float_sqrt!([$elem_ty; $elem_n]: $tuple_id | $test_tt);
         impl_math_float_sqrte!([$elem_ty; $elem_n]: $tuple_id | $test_tt);
-        impl_math_float_tanh!([$elem_ty; $elem_n]: $tuple_id | $test_tt);
         impl_cmp_vertical!(
             [$elem_ty; $elem_n]: $tuple_id, $mask_ty, false, (1., 0.)
                 | $test_tt
         );
 
         test_select!($elem_ty, $mask_ty, $tuple_id, (1., 2.) | $test_tt);
         test_reduction_float_min_max!(
             [$elem_ty; $elem_n]: $tuple_id | $test_tt
diff --git a/third_party/rust/packed_simd/src/api/math/float.rs b/third_party/rust/packed_simd/src/api/math/float.rs
--- a/third_party/rust/packed_simd/src/api/math/float.rs
+++ b/third_party/rust/packed_simd/src/api/math/float.rs
@@ -34,19 +34,16 @@ mod rsqrte;
 mod sin;
 
 #[macro_use]
 mod sqrt;
 
 #[macro_use]
 mod sqrte;
 
-#[macro_use]
-mod tanh;
-
 macro_rules! impl_float_category {
     ([$elem_ty:ident; $elem_count:expr]: $id:ident, $mask_ty:ident) => {
         impl $id {
             #[inline]
             pub fn is_nan(self) -> $mask_ty {
                 self.ne(self)
             }
 
diff --git a/third_party/rust/packed_simd/src/api/math/float/tanh.rs b/third_party/rust/packed_simd/src/api/math/float/tanh.rs
deleted file mode 100644
--- a/third_party/rust/packed_simd/src/api/math/float/tanh.rs
+++ /dev/null
@@ -1,29 +0,0 @@
-//! Implements vertical (lane-wise) floating-point `tanh`.
-
-macro_rules! impl_math_float_tanh {
-    ([$elem_ty:ident; $elem_count:expr]: $id:ident | $test_tt:tt) => {
-        impl $id {
-            /// Tanh.
-            #[inline]
-            pub fn tanh(self) -> Self {
-                use crate::codegen::math::float::tanh::Tanh;
-                Tanh::tanh(self)
-            }
-        }
-
-        test_if!{
-            $test_tt:
-            paste::item! {
-                pub mod [<$id _math_tanh>] {
-                    use super::*;
-                    #[cfg_attr(not(target_arch = "wasm32"), test)] #[cfg_attr(target_arch = "wasm32", wasm_bindgen_test)]
-                    fn tanh() {
-                        let z = $id::splat(0 as $elem_ty);
-
-                        assert_eq!(z, z.tanh());
-                    }
-                }
-            }
-        }
-    };
-}
diff --git a/third_party/rust/packed_simd/src/codegen/math/float.rs b/third_party/rust/packed_simd/src/codegen/math/float.rs
--- a/third_party/rust/packed_simd/src/codegen/math/float.rs
+++ b/third_party/rust/packed_simd/src/codegen/math/float.rs
@@ -11,9 +11,8 @@ pub(crate) mod ln;
 pub(crate) mod mul_add;
 pub(crate) mod mul_adde;
 pub(crate) mod powf;
 pub(crate) mod sin;
 pub(crate) mod sin_cos_pi;
 pub(crate) mod sin_pi;
 pub(crate) mod sqrt;
 pub(crate) mod sqrte;
-pub(crate) mod tanh;
diff --git a/third_party/rust/packed_simd/src/codegen/math/float/tanh.rs b/third_party/rust/packed_simd/src/codegen/math/float/tanh.rs
deleted file mode 100644
--- a/third_party/rust/packed_simd/src/codegen/math/float/tanh.rs
+++ /dev/null
@@ -1,120 +0,0 @@
-//! Vertical floating-point `tanh`
-#![allow(unused)]
-
-// FIXME 64-bit 1 elem vectors tanh
-
-#[cfg(not(feature = "std"))]
-use num_traits::Float;
-
-use crate::*;
-
-pub(crate) trait Tanh {
-    fn tanh(self) -> Self;
-}
-
-macro_rules! define_tanh {
-    ($name:ident, $basetype:ty, $simdtype:ty, $lanes:expr, $trait:path) => {
-        fn $name(x: $simdtype) -> $simdtype {
-            use core::intrinsics::transmute;
-            let mut buf: [$basetype; $lanes] = unsafe { transmute(x) };
-            for elem in &mut buf {
-                *elem = <$basetype as $trait>::tanh(*elem);
-            }
-            unsafe { transmute(buf) }
-        }
-    };
-
-    (f32 => $name:ident, $type:ty, $lanes:expr) => {
-        define_tanh!($name, f32, $type, $lanes, Float);
-    };
-
-    (f64 => $name:ident, $type:ty, $lanes:expr) => {
-        define_tanh!($name, f64, $type, $lanes, Float);
-    };
-}
-
-// llvm does not seem to expose the hyperbolic versions of trigonometric
-// functions; we thus call the classical rust versions on all of them (which
-// stem from cmath).
-define_tanh!(f32 => tanh_v2f32, f32x2, 2);
-define_tanh!(f32 => tanh_v4f32, f32x4, 4);
-define_tanh!(f32 => tanh_v8f32, f32x8, 8);
-define_tanh!(f32 => tanh_v16f32, f32x16, 16);
-
-define_tanh!(f64 => tanh_v2f64, f64x2, 2);
-define_tanh!(f64 => tanh_v4f64, f64x4, 4);
-define_tanh!(f64 => tanh_v8f64, f64x8, 8);
-
-fn tanh_f32(x: f32) -> f32 {
-    Float::tanh(x)
-}
-
-fn tanh_f64(x: f64) -> f64 {
-    Float::tanh(x)
-}
-
-gen_unary_impl_table!(Tanh, tanh);
-
-cfg_if! {
-    if #[cfg(target_arch = "s390x")] {
-        // FIXME: https://github.com/rust-lang-nursery/packed_simd/issues/14
-        impl_unary!(f32x2[f32; 2]: tanh_f32);
-        impl_unary!(f32x4[f32; 4]: tanh_f32);
-        impl_unary!(f32x8[f32; 8]: tanh_f32);
-        impl_unary!(f32x16[f32; 16]: tanh_f32);
-
-        impl_unary!(f64x2[f64; 2]: tanh_f64);
-        impl_unary!(f64x4[f64; 4]: tanh_f64);
-        impl_unary!(f64x8[f64; 8]: tanh_f64);
-    } else if #[cfg(all(target_arch = "x86_64", feature = "sleef-sys"))] {
-        use sleef_sys::*;
-        cfg_if! {
-            if #[cfg(target_feature = "avx2")] {
-                impl_unary!(f32x2[t => f32x4]: Sleef_tanhf4_u10avx2128);
-                impl_unary!(f32x16[h => f32x8]: Sleef_tanhf8_u10avx2);
-                impl_unary!(f64x8[h => f64x4]: Sleef_tanhd4_u10avx2);
-
-                impl_unary!(f32x4: Sleef_tanhf4_u10avx2128);
-                impl_unary!(f32x8: Sleef_tanhf8_u10avx2);
-                impl_unary!(f64x2: Sleef_tanhd2_u10avx2128);
-                impl_unary!(f64x4: Sleef_tanhd4_u10avx2);
-            } else if #[cfg(target_feature = "avx")] {
-                impl_unary!(f32x2[t => f32x4]: Sleef_tanhf4_u10sse4);
-                impl_unary!(f32x16[h => f32x8]: Sleef_tanhf8_u10avx);
-                impl_unary!(f64x8[h => f64x4]: Sleef_tanhd4_u10avx);
-
-                impl_unary!(f32x4: Sleef_tanhf4_u10sse4);
-                impl_unary!(f32x8: Sleef_tanhf8_u10avx);
-                impl_unary!(f64x2: Sleef_tanhd2_u10sse4);
-                impl_unary!(f64x4: Sleef_tanhd4_u10avx);
-            } else if #[cfg(target_feature = "sse4.2")] {
-                impl_unary!(f32x2[t => f32x4]: Sleef_tanhf4_u10sse4);
-                impl_unary!(f32x16[q => f32x4]: Sleef_tanhf4_u10sse4);
-                impl_unary!(f64x8[q => f64x2]: Sleef_tanhd2_u10sse4);
-
-                impl_unary!(f32x4: Sleef_tanhf4_u10sse4);
-                impl_unary!(f32x8[h => f32x4]: Sleef_tanhf4_u10sse4);
-                impl_unary!(f64x2: Sleef_tanhd2_u10sse4);
-                impl_unary!(f64x4[h => f64x2]: Sleef_tanhd2_u10sse4);
-            } else {
-                impl_unary!(f32x2[f32; 2]: tanh_f32);
-                impl_unary!(f32x16: tanh_v16f32);
-                impl_unary!(f64x8: tanh_v8f64);
-
-                impl_unary!(f32x4: tanh_v4f32);
-                impl_unary!(f32x8: tanh_v8f32);
-                impl_unary!(f64x2: tanh_v2f64);
-                impl_unary!(f64x4: tanh_v4f64);
-            }
-        }
-    } else {
-        impl_unary!(f32x2[f32; 2]: tanh_f32);
-        impl_unary!(f32x4: tanh_v4f32);
-        impl_unary!(f32x8: tanh_v8f32);
-        impl_unary!(f32x16: tanh_v16f32);
-
-        impl_unary!(f64x2: tanh_v2f64);
-        impl_unary!(f64x4: tanh_v4f64);
-        impl_unary!(f64x8: tanh_v8f64);
-    }
-}

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File TOP-NOBUG-revendor-253172.patch of Package seamonkey (Revision 876e8253ab33abf187d40700c167a1f5)

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