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authorRalf Jung <post@ralfj.de>2025-05-18 06:35:03 +0000
committerGitHub <noreply@github.com>2025-05-18 06:35:03 +0000
commit0abf62f692d6e963a3c8cfdc402586a2be7bac51 (patch)
tree866dc9b5d510f157c9c3814de5ff426133d828be
parent0a28db2d5b79f71f0f1b4a05dfb2363da03e268e (diff)
parent48093fd6959835408dc15d878ad7ae0d9c469a42 (diff)
downloadrust-0abf62f692d6e963a3c8cfdc402586a2be7bac51.tar.gz
rust-0abf62f692d6e963a3c8cfdc402586a2be7bac51.zip
Merge pull request #4327 from rust-lang/rustup-2025-05-18
Automatic Rustup
-rw-r--r--.gitmodules2
-rw-r--r--compiler/rustc_codegen_llvm/src/consts.rs7
-rw-r--r--compiler/rustc_codegen_ssa/src/back/link.rs2
-rw-r--r--compiler/rustc_codegen_ssa/src/back/linker.rs120
-rw-r--r--compiler/rustc_codegen_ssa/src/back/symbol_export.rs11
-rw-r--r--compiler/rustc_codegen_ssa/src/base.rs47
-rw-r--r--compiler/rustc_codegen_ssa/src/lib.rs2
-rw-r--r--compiler/rustc_const_eval/src/interpret/call.rs4
-rw-r--r--compiler/rustc_hir/src/hir.rs2
-rw-r--r--compiler/rustc_hir_analysis/src/check/check.rs20
-rw-r--r--compiler/rustc_hir_analysis/src/coherence/builtin.rs6
-rw-r--r--compiler/rustc_hir_analysis/src/lib.rs22
-rw-r--r--compiler/rustc_hir_typeck/src/cast.rs4
-rw-r--r--compiler/rustc_hir_typeck/src/closure.rs5
-rw-r--r--compiler/rustc_hir_typeck/src/fn_ctxt/suggestions.rs1
-rw-r--r--compiler/rustc_interface/src/passes.rs4
-rw-r--r--compiler/rustc_macros/src/query.rs14
-rw-r--r--compiler/rustc_middle/src/middle/exported_symbols.rs2
-rw-r--r--compiler/rustc_middle/src/ty/mod.rs2
-rw-r--r--compiler/rustc_middle/src/ty/print/pretty.rs2
-rw-r--r--compiler/rustc_middle/src/ty/sty.rs3
-rw-r--r--compiler/rustc_middle/src/ty/util.rs2
-rw-r--r--compiler/rustc_mir_transform/src/add_subtyping_projections.rs2
-rw-r--r--compiler/rustc_target/src/callconv/mod.rs32
-rw-r--r--compiler/rustc_target/src/spec/base/msvc.rs14
-rw-r--r--compiler/rustc_trait_selection/src/traits/mod.rs10
-rw-r--r--compiler/rustc_trait_selection/src/traits/select/mod.rs7
-rw-r--r--compiler/rustc_ty_utils/src/layout/invariant.rs22
-rw-r--r--library/Cargo.lock1
-rw-r--r--library/core/Cargo.toml6
-rw-r--r--library/core/src/array/mod.rs1
-rw-r--r--library/core/src/char/methods.rs21
-rw-r--r--library/core/src/num/f128.rs410
-rw-r--r--library/core/src/num/f16.rs445
-rw-r--r--library/core/src/num/f32.rs413
-rw-r--r--library/core/src/num/f64.rs406
-rw-r--r--library/core/src/num/libm.rs11
-rw-r--r--library/core/src/num/mod.rs21
-rw-r--r--library/core/src/str/mod.rs22
-rw-r--r--library/coretests/Cargo.toml11
-rw-r--r--library/coretests/tests/array.rs2
-rw-r--r--library/coretests/tests/floats/f128.rs790
-rw-r--r--library/coretests/tests/floats/f16.rs753
-rw-r--r--library/coretests/tests/floats/f32.rs702
-rw-r--r--library/coretests/tests/floats/f64.rs682
-rw-r--r--library/coretests/tests/floats/mod.rs40
-rw-r--r--library/coretests/tests/lib.rs7
-rw-r--r--library/panic_abort/Cargo.toml7
-rw-r--r--library/panic_abort/src/lib.rs76
-rw-r--r--library/panic_unwind/src/hermit.rs20
-rw-r--r--library/std/src/f128.rs396
-rw-r--r--library/std/src/f16.rs431
-rw-r--r--library/std/src/f32.rs32
-rw-r--r--library/std/src/f64.rs32
-rw-r--r--library/std/src/lib.rs1
-rw-r--r--library/std/src/rt.rs9
-rw-r--r--library/std/src/sys/cmath.rs4
-rw-r--r--library/std/src/sys/pal/hermit/mod.rs9
-rw-r--r--library/std/src/sys/pal/sgx/mod.rs7
-rw-r--r--library/std/src/sys/pal/uefi/mod.rs8
-rw-r--r--library/std/src/sys/pal/windows/mod.rs8
-rw-r--r--library/std/src/sys/pal/xous/mod.rs6
-rw-r--r--library/std/src/sys/pal/xous/os.rs8
-rw-r--r--library/std/tests/floats/f128.rs762
-rw-r--r--library/std/tests/floats/f16.rs722
-rw-r--r--library/std/tests/floats/f32.rs687
-rw-r--r--library/std/tests/floats/f64.rs668
-rw-r--r--library/std/tests/floats/lib.rs3
-rw-r--r--src/ci/docker/host-x86_64/dist-ohos-aarch64/Dockerfile (renamed from src/ci/docker/host-x86_64/dist-ohos/Dockerfile)18
-rw-r--r--src/ci/docker/host-x86_64/dist-ohos-armv7/Dockerfile53
-rw-r--r--src/ci/docker/host-x86_64/dist-ohos-x86_64/Dockerfile53
-rwxr-xr-xsrc/ci/docker/host-x86_64/x86_64-gnu-tools/checktools.sh2
-rw-r--r--src/ci/github-actions/jobs.yml10
-rw-r--r--src/librustdoc/clean/cfg.rs64
-rw-r--r--src/librustdoc/clean/mod.rs22
-rw-r--r--src/librustdoc/clean/types.rs20
-rw-r--r--src/librustdoc/formats/item_type.rs33
-rw-r--r--src/librustdoc/html/format.rs81
-rw-r--r--src/tools/miri/cargo-miri/src/phases.rs5
-rw-r--r--src/tools/miri/rust-version2
-rw-r--r--src/tools/miri/src/helpers.rs13
-rw-r--r--src/tools/miri/tests/fail/alloc/alloc_error_handler.rs2
-rw-r--r--src/tools/miri/tests/fail/alloc/alloc_error_handler.stderr2
-rw-r--r--src/tools/miri/tests/fail/function_calls/check_arg_abi.rs2
-rw-r--r--src/tools/miri/tests/fail/function_calls/check_arg_abi.stderr4
-rw-r--r--src/tools/miri/tests/fail/function_calls/check_callback_abi.rs2
-rw-r--r--src/tools/miri/tests/fail/function_calls/check_callback_abi.stderr4
-rw-r--r--src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.cache.stderr4
-rw-r--r--src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.fn_ptr.stderr4
-rw-r--r--src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.no_cache.stderr4
-rw-r--r--src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.rs6
-rw-r--r--src/tools/miri/tests/fail/function_calls/exported_symbol_bad_unwind2.both.stderr2
-rw-r--r--src/tools/miri/tests/fail/function_calls/exported_symbol_bad_unwind2.definition.stderr2
-rw-r--r--src/tools/miri/tests/fail/function_calls/exported_symbol_bad_unwind2.rs2
-rw-r--r--src/tools/miri/tests/fail/intrinsics/uninit_uninhabited_type.rs2
-rw-r--r--src/tools/miri/tests/fail/intrinsics/uninit_uninhabited_type.stderr2
-rw-r--r--src/tools/miri/tests/fail/intrinsics/zero_fn_ptr.rs2
-rw-r--r--src/tools/miri/tests/fail/intrinsics/zero_fn_ptr.stderr2
-rw-r--r--src/tools/miri/tests/fail/panic/abort_unwind.rs2
-rw-r--r--src/tools/miri/tests/fail/panic/abort_unwind.stderr2
-rw-r--r--src/tools/miri/tests/fail/panic/double_panic.rs2
-rw-r--r--src/tools/miri/tests/fail/panic/double_panic.stderr2
-rw-r--r--src/tools/miri/tests/fail/panic/panic_abort1.rs2
-rw-r--r--src/tools/miri/tests/fail/panic/panic_abort1.stderr8
-rw-r--r--src/tools/miri/tests/fail/panic/panic_abort2.rs2
-rw-r--r--src/tools/miri/tests/fail/panic/panic_abort2.stderr8
-rw-r--r--src/tools/miri/tests/fail/panic/panic_abort3.rs2
-rw-r--r--src/tools/miri/tests/fail/panic/panic_abort3.stderr8
-rw-r--r--src/tools/miri/tests/fail/panic/panic_abort4.rs2
-rw-r--r--src/tools/miri/tests/fail/panic/panic_abort4.stderr8
-rw-r--r--src/tools/miri/tests/fail/ptr_swap_nonoverlapping.rs2
-rw-r--r--src/tools/miri/tests/fail/ptr_swap_nonoverlapping.stderr2
-rw-r--r--src/tools/miri/tests/fail/tail_calls/cc-mismatch.rs2
-rw-r--r--src/tools/miri/tests/fail/tail_calls/cc-mismatch.stderr4
-rw-r--r--src/tools/miri/tests/fail/terminate-terminator.rs2
-rw-r--r--src/tools/miri/tests/fail/terminate-terminator.stderr2
-rw-r--r--src/tools/miri/tests/fail/unwind-action-terminate.rs2
-rw-r--r--src/tools/miri/tests/fail/unwind-action-terminate.stderr2
-rw-r--r--tests/crashes/123456.rs16
-rw-r--r--tests/run-make/arm64ec-import-export-static/export.rs23
-rw-r--r--tests/run-make/arm64ec-import-export-static/import.rs12
-rw-r--r--tests/run-make/arm64ec-import-export-static/rmake.rs15
-rw-r--r--tests/run-make/sanitizer-dylib-link/program.rs2
-rw-r--r--tests/ui/associated-types/issue-64855-2.rs5
-rw-r--r--tests/ui/associated-types/issue-64855-2.stderr15
-rw-r--r--tests/ui/associated-types/issue-64855.rs5
-rw-r--r--tests/ui/associated-types/issue-64855.stderr21
-rw-r--r--tests/ui/async-await/async-drop/auxiliary/async-drop-dep.rs28
-rw-r--r--tests/ui/async-await/async-drop/dependency-dropped.rs34
-rw-r--r--tests/ui/async-await/async-drop/dependency-dropped.run.stdout1
-rw-r--r--tests/ui/consts/miri_unleashed/abi-mismatch.rs2
-rw-r--r--tests/ui/consts/miri_unleashed/abi-mismatch.stderr2
-rw-r--r--tests/ui/coroutine/delayed-obligations-emit.next.stderr15
-rw-r--r--tests/ui/coroutine/delayed-obligations-emit.rs33
-rw-r--r--tests/ui/higher-ranked/trait-bounds/issue-95230.rs9
-rw-r--r--tests/ui/higher-ranked/trait-bounds/issue-95230.stderr18
-rw-r--r--tests/ui/traits/object/ambiguity-vtable-segfault.rs37
-rw-r--r--tests/ui/typeck/suggestions/macro-shorthand-issue-140659.rs56
-rw-r--r--tests/ui/typeck/suggestions/macro-shorthand-issue-140659.stderr16
-rw-r--r--tests/ui/typeck/suggestions/suggest-adding-missing-zero-to-floating-point-number.fixed (renamed from tests/ui/typeck/suggest-adding-missing-zero-to-floating-point-number.fixed)0
-rw-r--r--tests/ui/typeck/suggestions/suggest-adding-missing-zero-to-floating-point-number.rs (renamed from tests/ui/typeck/suggest-adding-missing-zero-to-floating-point-number.rs)0
-rw-r--r--tests/ui/typeck/suggestions/suggest-adding-missing-zero-to-floating-point-number.stderr (renamed from tests/ui/typeck/suggest-adding-missing-zero-to-floating-point-number.stderr)0
-rw-r--r--tests/ui/typeck/suggestions/suggest-arg-comma-delete-ice.rs (renamed from tests/ui/typeck/suggest-arg-comma-delete-ice.rs)0
-rw-r--r--tests/ui/typeck/suggestions/suggest-arg-comma-delete-ice.stderr (renamed from tests/ui/typeck/suggest-arg-comma-delete-ice.stderr)0
-rw-r--r--tests/ui/typeck/suggestions/suggest-box-on-divergent-if-else-arms.fixed (renamed from tests/ui/typeck/suggest-box-on-divergent-if-else-arms.fixed)0
-rw-r--r--tests/ui/typeck/suggestions/suggest-box-on-divergent-if-else-arms.rs (renamed from tests/ui/typeck/suggest-box-on-divergent-if-else-arms.rs)0
-rw-r--r--tests/ui/typeck/suggestions/suggest-box-on-divergent-if-else-arms.stderr (renamed from tests/ui/typeck/suggest-box-on-divergent-if-else-arms.stderr)0
-rw-r--r--tests/ui/typeck/suggestions/suggest-similar-impls-for-root-obligation.rs (renamed from tests/ui/typeck/suggest-similar-impls-for-root-obligation.rs)0
-rw-r--r--tests/ui/typeck/suggestions/suggest-similar-impls-for-root-obligation.stderr (renamed from tests/ui/typeck/suggest-similar-impls-for-root-obligation.stderr)0
149 files changed, 5558 insertions, 4308 deletions
diff --git a/.gitmodules b/.gitmodules
index d09d81ccadc..fbf2f59b38d 100644
--- a/.gitmodules
+++ b/.gitmodules
@@ -45,7 +45,7 @@
 	shallow = true
 [submodule "src/tools/enzyme"]
 	path = src/tools/enzyme
-	url = https://github.com/rust-lang/Enzyme.git
+	url = https://github.com/rust-lang/enzyme.git
 	shallow = true
 [submodule "src/gcc"]
 	path = src/gcc
diff --git a/compiler/rustc_codegen_llvm/src/consts.rs b/compiler/rustc_codegen_llvm/src/consts.rs
index cbac55c7153..bf81eb648f8 100644
--- a/compiler/rustc_codegen_llvm/src/consts.rs
+++ b/compiler/rustc_codegen_llvm/src/consts.rs
@@ -364,12 +364,7 @@ impl<'ll> CodegenCx<'ll, '_> {
 
         if !def_id.is_local() {
             let needs_dll_storage_attr = self.use_dll_storage_attrs
-                // If the symbol is a foreign item, then don't automatically apply DLLImport, as
-                // we'll rely on the #[link] attribute instead. BUT, if this is an internal symbol
-                // then it may be generated by the compiler in some crate, so we do need to apply
-                // DLLImport when linking with the MSVC linker.
-                && (!self.tcx.is_foreign_item(def_id)
-                    || (self.sess().target.is_like_msvc && fn_attrs.flags.contains(CodegenFnAttrFlags::RUSTC_STD_INTERNAL_SYMBOL)))
+                && !self.tcx.is_foreign_item(def_id)
                 // Local definitions can never be imported, so we must not apply
                 // the DLLImport annotation.
                 && !dso_local
diff --git a/compiler/rustc_codegen_ssa/src/back/link.rs b/compiler/rustc_codegen_ssa/src/back/link.rs
index 159c17b0af7..c5792da2678 100644
--- a/compiler/rustc_codegen_ssa/src/back/link.rs
+++ b/compiler/rustc_codegen_ssa/src/back/link.rs
@@ -768,7 +768,7 @@ fn link_natively(
             && cmd.get_args().iter().any(|e| e.to_string_lossy() == "-fuse-ld=lld")
         {
             info!("linker output: {:?}", out);
-            warn!("The linker driver does not support `-fuse-ld=lld`. Retrying without it.");
+            info!("The linker driver does not support `-fuse-ld=lld`. Retrying without it.");
             for arg in cmd.take_args() {
                 if arg.to_string_lossy() != "-fuse-ld=lld" {
                     cmd.arg(arg);
diff --git a/compiler/rustc_codegen_ssa/src/back/linker.rs b/compiler/rustc_codegen_ssa/src/back/linker.rs
index 80ee8ea2228..8fc83908efb 100644
--- a/compiler/rustc_codegen_ssa/src/back/linker.rs
+++ b/compiler/rustc_codegen_ssa/src/back/linker.rs
@@ -337,12 +337,7 @@ pub(crate) trait Linker {
     fn debuginfo(&mut self, strip: Strip, natvis_debugger_visualizers: &[PathBuf]);
     fn no_crt_objects(&mut self);
     fn no_default_libraries(&mut self);
-    fn export_symbols(
-        &mut self,
-        tmpdir: &Path,
-        crate_type: CrateType,
-        symbols: &[(String, SymbolExportKind)],
-    );
+    fn export_symbols(&mut self, tmpdir: &Path, crate_type: CrateType, symbols: &[String]);
     fn subsystem(&mut self, subsystem: &str);
     fn linker_plugin_lto(&mut self);
     fn add_eh_frame_header(&mut self) {}
@@ -775,12 +770,7 @@ impl<'a> Linker for GccLinker<'a> {
         }
     }
 
-    fn export_symbols(
-        &mut self,
-        tmpdir: &Path,
-        crate_type: CrateType,
-        symbols: &[(String, SymbolExportKind)],
-    ) {
+    fn export_symbols(&mut self, tmpdir: &Path, crate_type: CrateType, symbols: &[String]) {
         // Symbol visibility in object files typically takes care of this.
         if crate_type == CrateType::Executable {
             let should_export_executable_symbols =
@@ -809,7 +799,7 @@ impl<'a> Linker for GccLinker<'a> {
             // Write a plain, newline-separated list of symbols
             let res: io::Result<()> = try {
                 let mut f = File::create_buffered(&path)?;
-                for (sym, _) in symbols {
+                for sym in symbols {
                     debug!("  _{sym}");
                     writeln!(f, "_{sym}")?;
                 }
@@ -824,12 +814,11 @@ impl<'a> Linker for GccLinker<'a> {
                 // .def file similar to MSVC one but without LIBRARY section
                 // because LD doesn't like when it's empty
                 writeln!(f, "EXPORTS")?;
-                for (symbol, kind) in symbols {
-                    let kind_marker = if *kind == SymbolExportKind::Data { " DATA" } else { "" };
+                for symbol in symbols {
                     debug!("  _{symbol}");
                     // Quote the name in case it's reserved by linker in some way
                     // (this accounts for names with dots in particular).
-                    writeln!(f, "  \"{symbol}\"{kind_marker}")?;
+                    writeln!(f, "  \"{symbol}\"")?;
                 }
             };
             if let Err(error) = res {
@@ -842,7 +831,7 @@ impl<'a> Linker for GccLinker<'a> {
                 writeln!(f, "{{")?;
                 if !symbols.is_empty() {
                     writeln!(f, "  global:")?;
-                    for (sym, _) in symbols {
+                    for sym in symbols {
                         debug!("    {sym};");
                         writeln!(f, "    {sym};")?;
                     }
@@ -1109,12 +1098,7 @@ impl<'a> Linker for MsvcLinker<'a> {
     // crates. Upstream rlibs may be linked statically to this dynamic library,
     // in which case they may continue to transitively be used and hence need
     // their symbols exported.
-    fn export_symbols(
-        &mut self,
-        tmpdir: &Path,
-        crate_type: CrateType,
-        symbols: &[(String, SymbolExportKind)],
-    ) {
+    fn export_symbols(&mut self, tmpdir: &Path, crate_type: CrateType, symbols: &[String]) {
         // Symbol visibility takes care of this typically
         if crate_type == CrateType::Executable {
             let should_export_executable_symbols =
@@ -1132,10 +1116,9 @@ impl<'a> Linker for MsvcLinker<'a> {
             // straight to exports.
             writeln!(f, "LIBRARY")?;
             writeln!(f, "EXPORTS")?;
-            for (symbol, kind) in symbols {
-                let kind_marker = if *kind == SymbolExportKind::Data { " DATA" } else { "" };
+            for symbol in symbols {
                 debug!("  _{symbol}");
-                writeln!(f, "  {symbol}{kind_marker}")?;
+                writeln!(f, "  {symbol}")?;
             }
         };
         if let Err(error) = res {
@@ -1276,19 +1259,14 @@ impl<'a> Linker for EmLinker<'a> {
         self.cc_arg("-nodefaultlibs");
     }
 
-    fn export_symbols(
-        &mut self,
-        _tmpdir: &Path,
-        _crate_type: CrateType,
-        symbols: &[(String, SymbolExportKind)],
-    ) {
+    fn export_symbols(&mut self, _tmpdir: &Path, _crate_type: CrateType, symbols: &[String]) {
         debug!("EXPORTED SYMBOLS:");
 
         self.cc_arg("-s");
 
         let mut arg = OsString::from("EXPORTED_FUNCTIONS=");
         let encoded = serde_json::to_string(
-            &symbols.iter().map(|(sym, _)| "_".to_owned() + sym).collect::<Vec<_>>(),
+            &symbols.iter().map(|sym| "_".to_owned() + sym).collect::<Vec<_>>(),
         )
         .unwrap();
         debug!("{encoded}");
@@ -1450,13 +1428,8 @@ impl<'a> Linker for WasmLd<'a> {
 
     fn no_default_libraries(&mut self) {}
 
-    fn export_symbols(
-        &mut self,
-        _tmpdir: &Path,
-        _crate_type: CrateType,
-        symbols: &[(String, SymbolExportKind)],
-    ) {
-        for (sym, _) in symbols {
+    fn export_symbols(&mut self, _tmpdir: &Path, _crate_type: CrateType, symbols: &[String]) {
+        for sym in symbols {
             self.link_args(&["--export", sym]);
         }
 
@@ -1590,7 +1563,7 @@ impl<'a> Linker for L4Bender<'a> {
         self.cc_arg("-nostdlib");
     }
 
-    fn export_symbols(&mut self, _: &Path, _: CrateType, _: &[(String, SymbolExportKind)]) {
+    fn export_symbols(&mut self, _: &Path, _: CrateType, _: &[String]) {
         // ToDo, not implemented, copy from GCC
         self.sess.dcx().emit_warn(errors::L4BenderExportingSymbolsUnimplemented);
     }
@@ -1747,17 +1720,12 @@ impl<'a> Linker for AixLinker<'a> {
 
     fn no_default_libraries(&mut self) {}
 
-    fn export_symbols(
-        &mut self,
-        tmpdir: &Path,
-        _crate_type: CrateType,
-        symbols: &[(String, SymbolExportKind)],
-    ) {
+    fn export_symbols(&mut self, tmpdir: &Path, _crate_type: CrateType, symbols: &[String]) {
         let path = tmpdir.join("list.exp");
         let res: io::Result<()> = try {
             let mut f = File::create_buffered(&path)?;
             // FIXME: use llvm-nm to generate export list.
-            for (symbol, _) in symbols {
+            for symbol in symbols {
                 debug!("  _{symbol}");
                 writeln!(f, "  {symbol}")?;
             }
@@ -1801,12 +1769,9 @@ fn for_each_exported_symbols_include_dep<'tcx>(
     }
 }
 
-pub(crate) fn exported_symbols(
-    tcx: TyCtxt<'_>,
-    crate_type: CrateType,
-) -> Vec<(String, SymbolExportKind)> {
+pub(crate) fn exported_symbols(tcx: TyCtxt<'_>, crate_type: CrateType) -> Vec<String> {
     if let Some(ref exports) = tcx.sess.target.override_export_symbols {
-        return exports.iter().map(|name| (name.to_string(), SymbolExportKind::Text)).collect();
+        return exports.iter().map(ToString::to_string).collect();
     }
 
     if let CrateType::ProcMacro = crate_type {
@@ -1816,10 +1781,7 @@ pub(crate) fn exported_symbols(
     }
 }
 
-fn exported_symbols_for_non_proc_macro(
-    tcx: TyCtxt<'_>,
-    crate_type: CrateType,
-) -> Vec<(String, SymbolExportKind)> {
+fn exported_symbols_for_non_proc_macro(tcx: TyCtxt<'_>, crate_type: CrateType) -> Vec<String> {
     let mut symbols = Vec::new();
     let export_threshold = symbol_export::crates_export_threshold(&[crate_type]);
     for_each_exported_symbols_include_dep(tcx, crate_type, |symbol, info, cnum| {
@@ -1827,18 +1789,17 @@ fn exported_symbols_for_non_proc_macro(
         // from any cdylib. The latter doesn't work anyway as we use hidden visibility for
         // compiler-builtins. Most linkers silently ignore it, but ld64 gives a warning.
         if info.level.is_below_threshold(export_threshold) && !tcx.is_compiler_builtins(cnum) {
-            symbols.push((
-                symbol_export::exporting_symbol_name_for_instance_in_crate(tcx, symbol, cnum),
-                info.kind,
+            symbols.push(symbol_export::exporting_symbol_name_for_instance_in_crate(
+                tcx, symbol, cnum,
             ));
-            symbol_export::extend_exported_symbols(&mut symbols, tcx, symbol, info, cnum);
+            symbol_export::extend_exported_symbols(&mut symbols, tcx, symbol, cnum);
         }
     });
 
     symbols
 }
 
-fn exported_symbols_for_proc_macro_crate(tcx: TyCtxt<'_>) -> Vec<(String, SymbolExportKind)> {
+fn exported_symbols_for_proc_macro_crate(tcx: TyCtxt<'_>) -> Vec<String> {
     // `exported_symbols` will be empty when !should_codegen.
     if !tcx.sess.opts.output_types.should_codegen() {
         return Vec::new();
@@ -1848,10 +1809,7 @@ fn exported_symbols_for_proc_macro_crate(tcx: TyCtxt<'_>) -> Vec<(String, Symbol
     let proc_macro_decls_name = tcx.sess.generate_proc_macro_decls_symbol(stable_crate_id);
     let metadata_symbol_name = exported_symbols::metadata_symbol_name(tcx);
 
-    vec![
-        (proc_macro_decls_name, SymbolExportKind::Text),
-        (metadata_symbol_name, SymbolExportKind::Text),
-    ]
+    vec![proc_macro_decls_name, metadata_symbol_name]
 }
 
 pub(crate) fn linked_symbols(
@@ -1873,9 +1831,7 @@ pub(crate) fn linked_symbols(
             || info.used
         {
             symbols.push((
-                symbol_export::linking_symbol_name_for_instance_in_crate(
-                    tcx, symbol, info.kind, cnum,
-                ),
+                symbol_export::linking_symbol_name_for_instance_in_crate(tcx, symbol, cnum),
                 info.kind,
             ));
         }
@@ -1950,13 +1906,7 @@ impl<'a> Linker for PtxLinker<'a> {
 
     fn ehcont_guard(&mut self) {}
 
-    fn export_symbols(
-        &mut self,
-        _tmpdir: &Path,
-        _crate_type: CrateType,
-        _symbols: &[(String, SymbolExportKind)],
-    ) {
-    }
+    fn export_symbols(&mut self, _tmpdir: &Path, _crate_type: CrateType, _symbols: &[String]) {}
 
     fn subsystem(&mut self, _subsystem: &str) {}
 
@@ -2025,15 +1975,10 @@ impl<'a> Linker for LlbcLinker<'a> {
 
     fn ehcont_guard(&mut self) {}
 
-    fn export_symbols(
-        &mut self,
-        _tmpdir: &Path,
-        _crate_type: CrateType,
-        symbols: &[(String, SymbolExportKind)],
-    ) {
+    fn export_symbols(&mut self, _tmpdir: &Path, _crate_type: CrateType, symbols: &[String]) {
         match _crate_type {
             CrateType::Cdylib => {
-                for (sym, _) in symbols {
+                for sym in symbols {
                     self.link_args(&["--export-symbol", sym]);
                 }
             }
@@ -2107,16 +2052,11 @@ impl<'a> Linker for BpfLinker<'a> {
 
     fn ehcont_guard(&mut self) {}
 
-    fn export_symbols(
-        &mut self,
-        tmpdir: &Path,
-        _crate_type: CrateType,
-        symbols: &[(String, SymbolExportKind)],
-    ) {
+    fn export_symbols(&mut self, tmpdir: &Path, _crate_type: CrateType, symbols: &[String]) {
         let path = tmpdir.join("symbols");
         let res: io::Result<()> = try {
             let mut f = File::create_buffered(&path)?;
-            for (sym, _) in symbols {
+            for sym in symbols {
                 writeln!(f, "{sym}")?;
             }
         };
diff --git a/compiler/rustc_codegen_ssa/src/back/symbol_export.rs b/compiler/rustc_codegen_ssa/src/back/symbol_export.rs
index 06ba5b4f6a7..5f0a0cf922a 100644
--- a/compiler/rustc_codegen_ssa/src/back/symbol_export.rs
+++ b/compiler/rustc_codegen_ssa/src/back/symbol_export.rs
@@ -692,7 +692,6 @@ fn calling_convention_for_symbol<'tcx>(
 pub(crate) fn linking_symbol_name_for_instance_in_crate<'tcx>(
     tcx: TyCtxt<'tcx>,
     symbol: ExportedSymbol<'tcx>,
-    export_kind: SymbolExportKind,
     instantiating_crate: CrateNum,
 ) -> String {
     let mut undecorated = symbol_name_for_instance_in_crate(tcx, symbol, instantiating_crate);
@@ -713,9 +712,8 @@ pub(crate) fn linking_symbol_name_for_instance_in_crate<'tcx>(
     let prefix = match &target.arch[..] {
         "x86" => Some('_'),
         "x86_64" => None,
-        // Only functions are decorated for arm64ec.
-        "arm64ec" if export_kind == SymbolExportKind::Text => Some('#'),
-        // Only x86/64 and arm64ec use symbol decorations.
+        "arm64ec" => Some('#'),
+        // Only x86/64 use symbol decorations.
         _ => return undecorated,
     };
 
@@ -755,10 +753,9 @@ pub(crate) fn exporting_symbol_name_for_instance_in_crate<'tcx>(
 /// Add it to the symbols list for all kernel functions, so that it is exported in the linked
 /// object.
 pub(crate) fn extend_exported_symbols<'tcx>(
-    symbols: &mut Vec<(String, SymbolExportKind)>,
+    symbols: &mut Vec<String>,
     tcx: TyCtxt<'tcx>,
     symbol: ExportedSymbol<'tcx>,
-    info: SymbolExportInfo,
     instantiating_crate: CrateNum,
 ) {
     let (conv, _) = calling_convention_for_symbol(tcx, symbol);
@@ -770,7 +767,7 @@ pub(crate) fn extend_exported_symbols<'tcx>(
     let undecorated = symbol_name_for_instance_in_crate(tcx, symbol, instantiating_crate);
 
     // Add the symbol for the kernel descriptor (with .kd suffix)
-    symbols.push((format!("{undecorated}.kd"), info.kind));
+    symbols.push(format!("{undecorated}.kd"));
 }
 
 fn maybe_emutls_symbol_name<'tcx>(
diff --git a/compiler/rustc_codegen_ssa/src/base.rs b/compiler/rustc_codegen_ssa/src/base.rs
index 93cbd4cbb7c..775ab9071e7 100644
--- a/compiler/rustc_codegen_ssa/src/base.rs
+++ b/compiler/rustc_codegen_ssa/src/base.rs
@@ -12,9 +12,9 @@ use rustc_data_structures::fx::{FxHashMap, FxIndexSet};
 use rustc_data_structures::profiling::{get_resident_set_size, print_time_passes_entry};
 use rustc_data_structures::sync::{IntoDynSyncSend, par_map};
 use rustc_data_structures::unord::UnordMap;
+use rustc_hir::ItemId;
 use rustc_hir::def_id::{DefId, LOCAL_CRATE};
 use rustc_hir::lang_items::LangItem;
-use rustc_hir::{ItemId, Target};
 use rustc_metadata::EncodedMetadata;
 use rustc_middle::middle::codegen_fn_attrs::CodegenFnAttrs;
 use rustc_middle::middle::debugger_visualizer::{DebuggerVisualizerFile, DebuggerVisualizerType};
@@ -1038,35 +1038,21 @@ impl CrateInfo {
         // by the compiler, but that's ok because all this stuff is unstable anyway.
         let target = &tcx.sess.target;
         if !are_upstream_rust_objects_already_included(tcx.sess) {
-            let add_prefix = match (target.is_like_windows, target.arch.as_ref()) {
-                (true, "x86") => |name: String, _: SymbolExportKind| format!("_{name}"),
-                (true, "arm64ec") => {
-                    // Only functions are decorated for arm64ec.
-                    |name: String, export_kind: SymbolExportKind| match export_kind {
-                        SymbolExportKind::Text => format!("#{name}"),
-                        _ => name,
-                    }
-                }
-                _ => |name: String, _: SymbolExportKind| name,
-            };
-            let missing_weak_lang_items: FxIndexSet<(Symbol, SymbolExportKind)> = info
+            let missing_weak_lang_items: FxIndexSet<Symbol> = info
                 .used_crates
                 .iter()
                 .flat_map(|&cnum| tcx.missing_lang_items(cnum))
                 .filter(|l| l.is_weak())
                 .filter_map(|&l| {
                     let name = l.link_name()?;
-                    let export_kind = match l.target() {
-                        Target::Fn => SymbolExportKind::Text,
-                        Target::Static => SymbolExportKind::Data,
-                        _ => bug!(
-                            "Don't know what the export kind is for lang item of kind {:?}",
-                            l.target()
-                        ),
-                    };
-                    lang_items::required(tcx, l).then_some((name, export_kind))
+                    lang_items::required(tcx, l).then_some(name)
                 })
                 .collect();
+            let prefix = match (target.is_like_windows, target.arch.as_ref()) {
+                (true, "x86") => "_",
+                (true, "arm64ec") => "#",
+                _ => "",
+            };
 
             // This loop only adds new items to values of the hash map, so the order in which we
             // iterate over the values is not important.
@@ -1079,13 +1065,10 @@ impl CrateInfo {
                 .for_each(|(_, linked_symbols)| {
                     let mut symbols = missing_weak_lang_items
                         .iter()
-                        .map(|(item, export_kind)| {
+                        .map(|item| {
                             (
-                                add_prefix(
-                                    mangle_internal_symbol(tcx, item.as_str()),
-                                    *export_kind,
-                                ),
-                                *export_kind,
+                                format!("{prefix}{}", mangle_internal_symbol(tcx, item.as_str())),
+                                SymbolExportKind::Text,
                             )
                         })
                         .collect::<Vec<_>>();
@@ -1100,12 +1083,12 @@ impl CrateInfo {
                         // errors.
                         linked_symbols.extend(ALLOCATOR_METHODS.iter().map(|method| {
                             (
-                                add_prefix(
+                                format!(
+                                    "{prefix}{}",
                                     mangle_internal_symbol(
                                         tcx,
-                                        global_fn_name(method.name).as_str(),
-                                    ),
-                                    SymbolExportKind::Text,
+                                        global_fn_name(method.name).as_str()
+                                    )
                                 ),
                                 SymbolExportKind::Text,
                             )
diff --git a/compiler/rustc_codegen_ssa/src/lib.rs b/compiler/rustc_codegen_ssa/src/lib.rs
index 0e410be5a06..84919645cf0 100644
--- a/compiler/rustc_codegen_ssa/src/lib.rs
+++ b/compiler/rustc_codegen_ssa/src/lib.rs
@@ -218,7 +218,7 @@ pub struct CrateInfo {
     pub target_cpu: String,
     pub target_features: Vec<String>,
     pub crate_types: Vec<CrateType>,
-    pub exported_symbols: UnordMap<CrateType, Vec<(String, SymbolExportKind)>>,
+    pub exported_symbols: UnordMap<CrateType, Vec<String>>,
     pub linked_symbols: FxIndexMap<CrateType, Vec<(String, SymbolExportKind)>>,
     pub local_crate_name: Symbol,
     pub compiler_builtins: Option<CrateNum>,
diff --git a/compiler/rustc_const_eval/src/interpret/call.rs b/compiler/rustc_const_eval/src/interpret/call.rs
index 216800717fd..405208e94f4 100644
--- a/compiler/rustc_const_eval/src/interpret/call.rs
+++ b/compiler/rustc_const_eval/src/interpret/call.rs
@@ -353,8 +353,8 @@ impl<'tcx, M: Machine<'tcx>> InterpCx<'tcx, M> {
         if caller_fn_abi.conv != callee_fn_abi.conv {
             throw_ub_custom!(
                 fluent::const_eval_incompatible_calling_conventions,
-                callee_conv = format!("{:?}", callee_fn_abi.conv),
-                caller_conv = format!("{:?}", caller_fn_abi.conv),
+                callee_conv = format!("{}", callee_fn_abi.conv),
+                caller_conv = format!("{}", caller_fn_abi.conv),
             )
         }
 
diff --git a/compiler/rustc_hir/src/hir.rs b/compiler/rustc_hir/src/hir.rs
index 107aea4e5a4..fa1d1ec0a86 100644
--- a/compiler/rustc_hir/src/hir.rs
+++ b/compiler/rustc_hir/src/hir.rs
@@ -2744,6 +2744,8 @@ pub enum ExprKind<'hir> {
     ///
     /// The "then" expr is always `ExprKind::Block`. If present, the "else" expr is always
     /// `ExprKind::Block` (for `else`) or `ExprKind::If` (for `else if`).
+    /// Note that using an `Expr` instead of a `Block` for the "then" part is intentional,
+    /// as it simplifies the type coercion machinery.
     If(&'hir Expr<'hir>, &'hir Expr<'hir>, Option<&'hir Expr<'hir>>),
     /// A conditionless loop (can be exited with `break`, `continue`, or `return`).
     ///
diff --git a/compiler/rustc_hir_analysis/src/check/check.rs b/compiler/rustc_hir_analysis/src/check/check.rs
index f92b2aea160..da94331aa26 100644
--- a/compiler/rustc_hir_analysis/src/check/check.rs
+++ b/compiler/rustc_hir_analysis/src/check/check.rs
@@ -1754,17 +1754,19 @@ pub(super) fn check_coroutine_obligations(
     debug!(?typeck_results.coroutine_stalled_predicates);
 
     let mode = if tcx.next_trait_solver_globally() {
-        TypingMode::post_borrowck_analysis(tcx, def_id)
+        // This query is conceptually between HIR typeck and
+        // MIR borrowck. We use the opaque types defined by HIR
+        // and ignore region constraints.
+        TypingMode::borrowck(tcx, def_id)
     } else {
         TypingMode::analysis_in_body(tcx, def_id)
     };
 
-    let infcx = tcx
-        .infer_ctxt()
-        // typeck writeback gives us predicates with their regions erased.
-        // As borrowck already has checked lifetimes, we do not need to do it again.
-        .ignoring_regions()
-        .build(mode);
+    // Typeck writeback gives us predicates with their regions erased.
+    // We only need to check the goals while ignoring lifetimes to give good
+    // error message and to avoid breaking the assumption of `mir_borrowck`
+    // that all obligations already hold modulo regions.
+    let infcx = tcx.infer_ctxt().ignoring_regions().build(mode);
 
     let ocx = ObligationCtxt::new_with_diagnostics(&infcx);
     for (predicate, cause) in &typeck_results.coroutine_stalled_predicates {
@@ -1785,6 +1787,10 @@ pub(super) fn check_coroutine_obligations(
             let key = infcx.resolve_vars_if_possible(key);
             sanity_check_found_hidden_type(tcx, key, hidden_type)?;
         }
+    } else {
+        // We're not checking region constraints here, so we can simply drop the
+        // added opaque type uses in `TypingMode::Borrowck`.
+        let _ = infcx.take_opaque_types();
     }
 
     Ok(())
diff --git a/compiler/rustc_hir_analysis/src/coherence/builtin.rs b/compiler/rustc_hir_analysis/src/coherence/builtin.rs
index 52656fc2d90..b92d1d7104f 100644
--- a/compiler/rustc_hir_analysis/src/coherence/builtin.rs
+++ b/compiler/rustc_hir_analysis/src/coherence/builtin.rs
@@ -214,11 +214,9 @@ fn visit_implementation_of_dispatch_from_dyn(checker: &Checker<'_>) -> Result<()
     let span = tcx.def_span(impl_did);
     let trait_name = "DispatchFromDyn";
 
-    let dispatch_from_dyn_trait = tcx.require_lang_item(LangItem::DispatchFromDyn, Some(span));
-
     let source = trait_ref.self_ty();
     let target = {
-        assert_eq!(trait_ref.def_id, dispatch_from_dyn_trait);
+        assert!(tcx.is_lang_item(trait_ref.def_id, LangItem::DispatchFromDyn));
 
         trait_ref.args.type_at(1)
     };
@@ -339,7 +337,7 @@ fn visit_implementation_of_dispatch_from_dyn(checker: &Checker<'_>) -> Result<()
                     tcx,
                     cause.clone(),
                     param_env,
-                    ty::TraitRef::new(tcx, dispatch_from_dyn_trait, [ty_a, ty_b]),
+                    ty::TraitRef::new(tcx, trait_ref.def_id, [ty_a, ty_b]),
                 ));
                 let errors = ocx.select_all_or_error();
                 if !errors.is_empty() {
diff --git a/compiler/rustc_hir_analysis/src/lib.rs b/compiler/rustc_hir_analysis/src/lib.rs
index 4937eb73a8b..010c6c376fe 100644
--- a/compiler/rustc_hir_analysis/src/lib.rs
+++ b/compiler/rustc_hir_analysis/src/lib.rs
@@ -194,17 +194,6 @@ pub fn check_crate(tcx: TyCtxt<'_>) {
         let _: R = tcx.ensure_ok().crate_inherent_impls_overlap_check(());
     });
 
-    if tcx.features().rustc_attrs() {
-        tcx.sess.time("dumping_rustc_attr_data", || {
-            outlives::dump::inferred_outlives(tcx);
-            variance::dump::variances(tcx);
-            collect::dump::opaque_hidden_types(tcx);
-            collect::dump::predicates_and_item_bounds(tcx);
-            collect::dump::def_parents(tcx);
-            collect::dump::vtables(tcx);
-        });
-    }
-
     // Make sure we evaluate all static and (non-associated) const items, even if unused.
     // If any of these fail to evaluate, we do not want this crate to pass compilation.
     tcx.par_hir_body_owners(|item_def_id| {
@@ -228,6 +217,17 @@ pub fn check_crate(tcx: TyCtxt<'_>) {
         }
     });
 
+    if tcx.features().rustc_attrs() {
+        tcx.sess.time("dumping_rustc_attr_data", || {
+            outlives::dump::inferred_outlives(tcx);
+            variance::dump::variances(tcx);
+            collect::dump::opaque_hidden_types(tcx);
+            collect::dump::predicates_and_item_bounds(tcx);
+            collect::dump::def_parents(tcx);
+            collect::dump::vtables(tcx);
+        });
+    }
+
     tcx.ensure_ok().check_unused_traits(());
 }
 
diff --git a/compiler/rustc_hir_typeck/src/cast.rs b/compiler/rustc_hir_typeck/src/cast.rs
index 5bfc3e810d9..c044c4f7c37 100644
--- a/compiler/rustc_hir_typeck/src/cast.rs
+++ b/compiler/rustc_hir_typeck/src/cast.rs
@@ -490,11 +490,7 @@ impl<'a, 'tcx> CastCheck<'tcx> {
                         && let Some(from_trait) = fcx.tcx.get_diagnostic_item(sym::From)
                     {
                         let ty = fcx.resolve_vars_if_possible(self.cast_ty);
-                        // Erase regions to avoid panic in `prove_value` when calling
-                        // `type_implements_trait`.
-                        let ty = fcx.tcx.erase_regions(ty);
                         let expr_ty = fcx.resolve_vars_if_possible(self.expr_ty);
-                        let expr_ty = fcx.tcx.erase_regions(expr_ty);
                         if fcx
                             .infcx
                             .type_implements_trait(from_trait, [ty, expr_ty], fcx.param_env)
diff --git a/compiler/rustc_hir_typeck/src/closure.rs b/compiler/rustc_hir_typeck/src/closure.rs
index 8fd59999fce..b1cb3ef4d79 100644
--- a/compiler/rustc_hir_typeck/src/closure.rs
+++ b/compiler/rustc_hir_typeck/src/closure.rs
@@ -1080,15 +1080,14 @@ impl<'a, 'tcx> FnCtxt<'a, 'tcx> {
 
         // Check that this is a projection from the `Future` trait.
         let trait_def_id = predicate.projection_term.trait_def_id(self.tcx);
-        let future_trait = self.tcx.require_lang_item(LangItem::Future, Some(cause_span));
-        if trait_def_id != future_trait {
+        if !self.tcx.is_lang_item(trait_def_id, LangItem::Future) {
             debug!("deduce_future_output_from_projection: not a future");
             return None;
         }
 
         // The `Future` trait has only one associated item, `Output`,
         // so check that this is what we see.
-        let output_assoc_item = self.tcx.associated_item_def_ids(future_trait)[0];
+        let output_assoc_item = self.tcx.associated_item_def_ids(trait_def_id)[0];
         if output_assoc_item != predicate.projection_term.def_id {
             span_bug!(
                 cause_span,
diff --git a/compiler/rustc_hir_typeck/src/fn_ctxt/suggestions.rs b/compiler/rustc_hir_typeck/src/fn_ctxt/suggestions.rs
index 251801f479e..1079262b5af 100644
--- a/compiler/rustc_hir_typeck/src/fn_ctxt/suggestions.rs
+++ b/compiler/rustc_hir_typeck/src/fn_ctxt/suggestions.rs
@@ -2043,6 +2043,7 @@ impl<'a, 'tcx> FnCtxt<'a, 'tcx> {
         };
 
         let sugg = match self.tcx.hir_maybe_get_struct_pattern_shorthand_field(expr) {
+            Some(_) if expr.span.from_expansion() => return false,
             Some(ident) => format!(": {ident}{sugg}"),
             None => sugg.to_string(),
         };
diff --git a/compiler/rustc_interface/src/passes.rs b/compiler/rustc_interface/src/passes.rs
index b554cc715fe..e28639576f0 100644
--- a/compiler/rustc_interface/src/passes.rs
+++ b/compiler/rustc_interface/src/passes.rs
@@ -1001,10 +1001,6 @@ fn run_required_analyses(tcx: TyCtxt<'_>) {
                 tcx.ensure_ok().check_unsafety(def_id);
                 tcx.ensure_ok().mir_borrowck(def_id)
             }
-        });
-    });
-    sess.time("MIR_effect_checking", || {
-        tcx.par_hir_body_owners(|def_id| {
             tcx.ensure_ok().has_ffi_unwind_calls(def_id);
 
             // If we need to codegen, ensure that we emit all errors from
diff --git a/compiler/rustc_macros/src/query.rs b/compiler/rustc_macros/src/query.rs
index 33fb13e23bf..ee377277017 100644
--- a/compiler/rustc_macros/src/query.rs
+++ b/compiler/rustc_macros/src/query.rs
@@ -267,6 +267,18 @@ fn add_query_desc_cached_impl(
 ) {
     let Query { name, key, modifiers, .. } = &query;
 
+    // This dead code exists to instruct rust-analyzer about the link between the `rustc_queries`
+    // query names and the corresponding produced provider. The issue is that by nature of this
+    // macro producing a higher order macro that has all its token in the macro declaration we lose
+    // any meaningful spans, resulting in rust-analyzer being unable to make the connection between
+    // the query name and the corresponding providers field. The trick to fix this is to have
+    // `rustc_queries` emit a field access with the given name's span which allows it to succesfully
+    // show references / go to definition to the correspondig provider assignment which is usually
+    // the more interesting place.
+    let ra_hint = quote! {
+        let crate::query::Providers { #name: _, .. };
+    };
+
     // Find out if we should cache the query on disk
     let cache = if let Some((args, expr)) = modifiers.cache.as_ref() {
         let tcx = args.as_ref().map(|t| quote! { #t }).unwrap_or_else(|| quote! { _ });
@@ -277,6 +289,7 @@ fn add_query_desc_cached_impl(
             #[allow(unused_variables, unused_braces, rustc::pass_by_value)]
             #[inline]
             pub fn #name<'tcx>(#tcx: TyCtxt<'tcx>, #key: &crate::query::queries::#name::Key<'tcx>) -> bool {
+                #ra_hint
                 #expr
             }
         }
@@ -286,6 +299,7 @@ fn add_query_desc_cached_impl(
             #[allow(rustc::pass_by_value)]
             #[inline]
             pub fn #name<'tcx>(_: TyCtxt<'tcx>, _: &crate::query::queries::#name::Key<'tcx>) -> bool {
+                #ra_hint
                 false
             }
         }
diff --git a/compiler/rustc_middle/src/middle/exported_symbols.rs b/compiler/rustc_middle/src/middle/exported_symbols.rs
index 64a1f2aff15..1d67d0fe3bb 100644
--- a/compiler/rustc_middle/src/middle/exported_symbols.rs
+++ b/compiler/rustc_middle/src/middle/exported_symbols.rs
@@ -22,7 +22,7 @@ impl SymbolExportLevel {
 }
 
 /// Kind of exported symbols.
-#[derive(Eq, PartialEq, Debug, Copy, Clone, Encodable, Decodable, HashStable, Hash)]
+#[derive(Eq, PartialEq, Debug, Copy, Clone, Encodable, Decodable, HashStable)]
 pub enum SymbolExportKind {
     Text,
     Data,
diff --git a/compiler/rustc_middle/src/ty/mod.rs b/compiler/rustc_middle/src/ty/mod.rs
index 83b318435f9..657bda23bc4 100644
--- a/compiler/rustc_middle/src/ty/mod.rs
+++ b/compiler/rustc_middle/src/ty/mod.rs
@@ -1185,7 +1185,7 @@ pub struct Destructor {
 #[derive(Copy, Clone, Debug, HashStable, Encodable, Decodable)]
 pub struct AsyncDestructor {
     /// The `DefId` of the `impl AsyncDrop`
-    pub impl_did: LocalDefId,
+    pub impl_did: DefId,
 }
 
 #[derive(Clone, Copy, PartialEq, Eq, HashStable, TyEncodable, TyDecodable)]
diff --git a/compiler/rustc_middle/src/ty/print/pretty.rs b/compiler/rustc_middle/src/ty/print/pretty.rs
index 0250c777faf..6fd6aff0e2b 100644
--- a/compiler/rustc_middle/src/ty/print/pretty.rs
+++ b/compiler/rustc_middle/src/ty/print/pretty.rs
@@ -1453,9 +1453,7 @@ pub trait PrettyPrinter<'tcx>: Printer<'tcx> + fmt::Write {
                                 // contain named regions. So we erase and anonymize everything
                                 // here to compare the types modulo regions below.
                                 let proj = cx.tcx().erase_regions(proj);
-                                let proj = cx.tcx().anonymize_bound_vars(proj);
                                 let super_proj = cx.tcx().erase_regions(super_proj);
-                                let super_proj = cx.tcx().anonymize_bound_vars(super_proj);
 
                                 proj == super_proj
                             });
diff --git a/compiler/rustc_middle/src/ty/sty.rs b/compiler/rustc_middle/src/ty/sty.rs
index c31ce1bc630..ab1f3d6099f 100644
--- a/compiler/rustc_middle/src/ty/sty.rs
+++ b/compiler/rustc_middle/src/ty/sty.rs
@@ -1260,8 +1260,7 @@ impl<'tcx> Ty<'tcx> {
                     return true;
                 };
                 alloc.expect_ty().ty_adt_def().is_some_and(|alloc_adt| {
-                    let global_alloc = tcx.require_lang_item(LangItem::GlobalAlloc, None);
-                    alloc_adt.did() == global_alloc
+                    tcx.is_lang_item(alloc_adt.did(), LangItem::GlobalAlloc)
                 })
             }
             _ => false,
diff --git a/compiler/rustc_middle/src/ty/util.rs b/compiler/rustc_middle/src/ty/util.rs
index 6fe5927c29f..9676aa40448 100644
--- a/compiler/rustc_middle/src/ty/util.rs
+++ b/compiler/rustc_middle/src/ty/util.rs
@@ -465,7 +465,7 @@ impl<'tcx> TyCtxt<'tcx> {
             dtor_candidate = Some(impl_did);
         }
 
-        Some(ty::AsyncDestructor { impl_did: dtor_candidate? })
+        Some(ty::AsyncDestructor { impl_did: dtor_candidate?.into() })
     }
 
     /// Returns the set of types that are required to be alive in
diff --git a/compiler/rustc_mir_transform/src/add_subtyping_projections.rs b/compiler/rustc_mir_transform/src/add_subtyping_projections.rs
index b5cd4133459..92ee80eaa35 100644
--- a/compiler/rustc_mir_transform/src/add_subtyping_projections.rs
+++ b/compiler/rustc_mir_transform/src/add_subtyping_projections.rs
@@ -32,7 +32,7 @@ impl<'a, 'tcx> MutVisitor<'tcx> for SubTypeChecker<'a, 'tcx> {
         let mut rval_ty = rvalue.ty(self.local_decls, self.tcx);
         // Not erasing this causes `Free Regions` errors in validator,
         // when rval is `ReStatic`.
-        rval_ty = self.tcx.erase_regions_ty(rval_ty);
+        rval_ty = self.tcx.erase_regions(rval_ty);
         place_ty = self.tcx.erase_regions(place_ty);
         if place_ty != rval_ty {
             let temp = self
diff --git a/compiler/rustc_target/src/callconv/mod.rs b/compiler/rustc_target/src/callconv/mod.rs
index ae366e29e32..907614520a2 100644
--- a/compiler/rustc_target/src/callconv/mod.rs
+++ b/compiler/rustc_target/src/callconv/mod.rs
@@ -1,3 +1,4 @@
+use std::fmt::Display;
 use std::str::FromStr;
 use std::{fmt, iter};
 
@@ -895,6 +896,37 @@ impl FromStr for Conv {
     }
 }
 
+fn conv_to_externabi(conv: &Conv) -> ExternAbi {
+    match conv {
+        Conv::C => ExternAbi::C { unwind: false },
+        Conv::Rust => ExternAbi::Rust,
+        Conv::PreserveMost => ExternAbi::RustCold,
+        Conv::ArmAapcs => ExternAbi::Aapcs { unwind: false },
+        Conv::CCmseNonSecureCall => ExternAbi::CCmseNonSecureCall,
+        Conv::CCmseNonSecureEntry => ExternAbi::CCmseNonSecureEntry,
+        Conv::Msp430Intr => ExternAbi::Msp430Interrupt,
+        Conv::GpuKernel => ExternAbi::GpuKernel,
+        Conv::X86Fastcall => ExternAbi::Fastcall { unwind: false },
+        Conv::X86Intr => ExternAbi::X86Interrupt,
+        Conv::X86Stdcall => ExternAbi::Stdcall { unwind: false },
+        Conv::X86ThisCall => ExternAbi::Thiscall { unwind: false },
+        Conv::X86VectorCall => ExternAbi::Vectorcall { unwind: false },
+        Conv::X86_64SysV => ExternAbi::SysV64 { unwind: false },
+        Conv::X86_64Win64 => ExternAbi::Win64 { unwind: false },
+        Conv::AvrInterrupt => ExternAbi::AvrInterrupt,
+        Conv::AvrNonBlockingInterrupt => ExternAbi::AvrNonBlockingInterrupt,
+        Conv::RiscvInterrupt { kind: RiscvInterruptKind::Machine } => ExternAbi::RiscvInterruptM,
+        Conv::RiscvInterrupt { kind: RiscvInterruptKind::Supervisor } => ExternAbi::RiscvInterruptS,
+        Conv::Cold | Conv::PreserveAll => unreachable!(),
+    }
+}
+
+impl Display for Conv {
+    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+        write!(f, "{}", conv_to_externabi(self))
+    }
+}
+
 // Some types are used a lot. Make sure they don't unintentionally get bigger.
 #[cfg(target_pointer_width = "64")]
 mod size_asserts {
diff --git a/compiler/rustc_target/src/spec/base/msvc.rs b/compiler/rustc_target/src/spec/base/msvc.rs
index bd59678d236..486d7158723 100644
--- a/compiler/rustc_target/src/spec/base/msvc.rs
+++ b/compiler/rustc_target/src/spec/base/msvc.rs
@@ -5,19 +5,7 @@ use crate::spec::{BinaryFormat, DebuginfoKind, LinkerFlavor, Lld, SplitDebuginfo
 pub(crate) fn opts() -> TargetOptions {
     // Suppress the verbose logo and authorship debugging output, which would needlessly
     // clog any log files.
-    let pre_link_args = TargetOptions::link_args(
-        LinkerFlavor::Msvc(Lld::No),
-        &[
-            "/NOLOGO",
-            // "Symbol is marked as dllimport, but defined in an object file"
-            // Harmless warning that flags a potential performance improvement: marking a symbol as
-            // dllimport indirects usage via the `__imp_` symbol, which isn't required if the symbol
-            // is in the current binary. This is tripped by __rust_no_alloc_shim_is_unstable as it
-            // is generated by the compiler, but marked as a foreign item (hence the dllimport) in
-            // the standard library.
-            "/IGNORE:4286",
-        ],
-    );
+    let pre_link_args = TargetOptions::link_args(LinkerFlavor::Msvc(Lld::No), &["/NOLOGO"]);
 
     TargetOptions {
         linker_flavor: LinkerFlavor::Msvc(Lld::No),
diff --git a/compiler/rustc_trait_selection/src/traits/mod.rs b/compiler/rustc_trait_selection/src/traits/mod.rs
index 4738a538b29..31b075db04b 100644
--- a/compiler/rustc_trait_selection/src/traits/mod.rs
+++ b/compiler/rustc_trait_selection/src/traits/mod.rs
@@ -701,9 +701,15 @@ pub fn impossible_predicates<'tcx>(tcx: TyCtxt<'tcx>, predicates: Vec<ty::Clause
         let obligation = Obligation::new(tcx, ObligationCause::dummy(), param_env, predicate);
         ocx.register_obligation(obligation);
     }
-    let errors = ocx.select_all_or_error();
 
-    if !errors.is_empty() {
+    // Use `select_where_possible` to only return impossible for true errors,
+    // and not ambiguities or overflows. Since the new trait solver forces
+    // some currently undetected overlap between `dyn Trait: Trait` built-in
+    // vs user-written impls to AMBIGUOUS, this may return ambiguity even
+    // with no infer vars. There may also be ways to encounter ambiguity due
+    // to post-mono overflow.
+    let true_errors = ocx.select_where_possible();
+    if !true_errors.is_empty() {
         return true;
     }
 
diff --git a/compiler/rustc_trait_selection/src/traits/select/mod.rs b/compiler/rustc_trait_selection/src/traits/select/mod.rs
index 7f1fe481ca7..44a76f6e083 100644
--- a/compiler/rustc_trait_selection/src/traits/select/mod.rs
+++ b/compiler/rustc_trait_selection/src/traits/select/mod.rs
@@ -1241,7 +1241,12 @@ impl<'cx, 'tcx> SelectionContext<'cx, 'tcx> {
             ty::PredicateKind::Clause(ty::ClauseKind::Trait(data)) => {
                 self.infcx.tcx.trait_is_coinductive(data.def_id())
             }
-            ty::PredicateKind::Clause(ty::ClauseKind::WellFormed(_)) => true,
+            ty::PredicateKind::Clause(ty::ClauseKind::WellFormed(_)) => {
+                // FIXME(generic_const_exprs): GCE needs well-formedness predicates to be
+                // coinductive, but GCE is on the way out anyways, so this should eventually
+                // be replaced with `false`.
+                self.infcx.tcx.features().generic_const_exprs()
+            }
             _ => false,
         })
     }
diff --git a/compiler/rustc_ty_utils/src/layout/invariant.rs b/compiler/rustc_ty_utils/src/layout/invariant.rs
index 7423a156a21..c929de11624 100644
--- a/compiler/rustc_ty_utils/src/layout/invariant.rs
+++ b/compiler/rustc_ty_utils/src/layout/invariant.rs
@@ -8,15 +8,6 @@ use rustc_middle::ty::layout::{HasTyCtxt, LayoutCx, TyAndLayout};
 pub(super) fn layout_sanity_check<'tcx>(cx: &LayoutCx<'tcx>, layout: &TyAndLayout<'tcx>) {
     let tcx = cx.tcx();
 
-    // Type-level uninhabitedness should always imply ABI uninhabitedness.
-    if layout.ty.is_privately_uninhabited(tcx, cx.typing_env) {
-        assert!(
-            layout.is_uninhabited(),
-            "{:?} is type-level uninhabited but not ABI-uninhabited?",
-            layout.ty
-        );
-    }
-
     if layout.size.bytes() % layout.align.abi.bytes() != 0 {
         bug!("size is not a multiple of align, in the following layout:\n{layout:#?}");
     }
@@ -29,6 +20,19 @@ pub(super) fn layout_sanity_check<'tcx>(cx: &LayoutCx<'tcx>, layout: &TyAndLayou
         return;
     }
 
+    // Type-level uninhabitedness should always imply ABI uninhabitedness. This can be expensive on
+    // big non-exhaustive types, and is [hard to
+    // fix](https://github.com/rust-lang/rust/issues/141006#issuecomment-2883415000) in general.
+    // Only doing this sanity check when debug assertions are turned on avoids the issue for the
+    // very specific case of #140944.
+    if layout.ty.is_privately_uninhabited(tcx, cx.typing_env) {
+        assert!(
+            layout.is_uninhabited(),
+            "{:?} is type-level uninhabited but not ABI-uninhabited?",
+            layout.ty
+        );
+    }
+
     /// Yields non-ZST fields of the type
     fn non_zst_fields<'tcx, 'a>(
         cx: &'a LayoutCx<'tcx>,
diff --git a/library/Cargo.lock b/library/Cargo.lock
index 97ca3cb06b2..02018057ed5 100644
--- a/library/Cargo.lock
+++ b/library/Cargo.lock
@@ -196,7 +196,6 @@ name = "panic_abort"
 version = "0.0.0"
 dependencies = [
  "alloc",
- "cfg-if",
  "compiler_builtins",
  "core",
  "libc",
diff --git a/library/core/Cargo.toml b/library/core/Cargo.toml
index 99e52d0ada0..83ba17b93f5 100644
--- a/library/core/Cargo.toml
+++ b/library/core/Cargo.toml
@@ -35,4 +35,10 @@ check-cfg = [
     # and to stdarch `core_arch` crate which messes-up with Cargo list
     # of declared features, we therefor expect any feature cfg
     'cfg(feature, values(any()))',
+    # Internal features aren't marked known config by default, we use these to
+    # gate tests.
+    'cfg(target_has_reliable_f16)',
+    'cfg(target_has_reliable_f16_math)',
+    'cfg(target_has_reliable_f128)',
+    'cfg(target_has_reliable_f128_math)',
 ]
diff --git a/library/core/src/array/mod.rs b/library/core/src/array/mod.rs
index efa7bed7c8e..4476e3f7923 100644
--- a/library/core/src/array/mod.rs
+++ b/library/core/src/array/mod.rs
@@ -531,6 +531,7 @@ impl<T, const N: usize> [T; N] {
     /// let y = x.map(|v| v.len());
     /// assert_eq!(y, [6, 9, 3, 3]);
     /// ```
+    #[must_use]
     #[stable(feature = "array_map", since = "1.55.0")]
     pub fn map<F, U>(self, f: F) -> [U; N]
     where
diff --git a/library/core/src/char/methods.rs b/library/core/src/char/methods.rs
index 042925a352f..af2edf141b2 100644
--- a/library/core/src/char/methods.rs
+++ b/library/core/src/char/methods.rs
@@ -4,6 +4,7 @@ use super::*;
 use crate::panic::const_panic;
 use crate::slice;
 use crate::str::from_utf8_unchecked_mut;
+use crate::ub_checks::assert_unsafe_precondition;
 use crate::unicode::printable::is_printable;
 use crate::unicode::{self, conversions};
 
@@ -1202,6 +1203,26 @@ impl char {
         }
     }
 
+    /// Converts this char into an [ASCII character](`ascii::Char`), without
+    /// checking whether it is valid.
+    ///
+    /// # Safety
+    ///
+    /// This char must be within the ASCII range, or else this is UB.
+    #[must_use]
+    #[unstable(feature = "ascii_char", issue = "110998")]
+    #[inline]
+    pub const unsafe fn as_ascii_unchecked(&self) -> ascii::Char {
+        assert_unsafe_precondition!(
+            check_library_ub,
+            "as_ascii_unchecked requires that the char is valid ASCII",
+            (it: &char = self) => it.is_ascii()
+        );
+
+        // SAFETY: the caller promised that this char is ASCII.
+        unsafe { ascii::Char::from_u8_unchecked(*self as u8) }
+    }
+
     /// Makes a copy of the value in its ASCII upper case equivalent.
     ///
     /// ASCII letters 'a' to 'z' are mapped to 'A' to 'Z',
diff --git a/library/core/src/num/f128.rs b/library/core/src/num/f128.rs
index 7e470185c86..0c2c4155d66 100644
--- a/library/core/src/num/f128.rs
+++ b/library/core/src/num/f128.rs
@@ -1415,3 +1415,413 @@ impl f128 {
         intrinsics::frem_algebraic(self, rhs)
     }
 }
+
+// Functions in this module fall into `core_float_math`
+// FIXME(f16_f128): all doctests must be gated to platforms that have `long double` === `_Float128`
+// due to https://github.com/llvm/llvm-project/issues/44744. aarch64 linux matches this.
+// #[unstable(feature = "core_float_math", issue = "137578")]
+#[cfg(not(test))]
+impl f128 {
+    /// Returns the largest integer less than or equal to `self`.
+    ///
+    /// This function always returns the precise result.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f128)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f128_math)] {
+    ///
+    /// let f = 3.7_f128;
+    /// let g = 3.0_f128;
+    /// let h = -3.7_f128;
+    ///
+    /// assert_eq!(f.floor(), 3.0);
+    /// assert_eq!(g.floor(), 3.0);
+    /// assert_eq!(h.floor(), -4.0);
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f128", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn floor(self) -> f128 {
+        // SAFETY: intrinsic with no preconditions
+        unsafe { intrinsics::floorf128(self) }
+    }
+
+    /// Returns the smallest integer greater than or equal to `self`.
+    ///
+    /// This function always returns the precise result.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f128)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f128_math)] {
+    ///
+    /// let f = 3.01_f128;
+    /// let g = 4.0_f128;
+    ///
+    /// assert_eq!(f.ceil(), 4.0);
+    /// assert_eq!(g.ceil(), 4.0);
+    /// # }
+    /// ```
+    #[inline]
+    #[doc(alias = "ceiling")]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f128", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn ceil(self) -> f128 {
+        // SAFETY: intrinsic with no preconditions
+        unsafe { intrinsics::ceilf128(self) }
+    }
+
+    /// Returns the nearest integer to `self`. If a value is half-way between two
+    /// integers, round away from `0.0`.
+    ///
+    /// This function always returns the precise result.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f128)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f128_math)] {
+    ///
+    /// let f = 3.3_f128;
+    /// let g = -3.3_f128;
+    /// let h = -3.7_f128;
+    /// let i = 3.5_f128;
+    /// let j = 4.5_f128;
+    ///
+    /// assert_eq!(f.round(), 3.0);
+    /// assert_eq!(g.round(), -3.0);
+    /// assert_eq!(h.round(), -4.0);
+    /// assert_eq!(i.round(), 4.0);
+    /// assert_eq!(j.round(), 5.0);
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f128", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn round(self) -> f128 {
+        // SAFETY: intrinsic with no preconditions
+        unsafe { intrinsics::roundf128(self) }
+    }
+
+    /// Returns the nearest integer to a number. Rounds half-way cases to the number
+    /// with an even least significant digit.
+    ///
+    /// This function always returns the precise result.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f128)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f128_math)] {
+    ///
+    /// let f = 3.3_f128;
+    /// let g = -3.3_f128;
+    /// let h = 3.5_f128;
+    /// let i = 4.5_f128;
+    ///
+    /// assert_eq!(f.round_ties_even(), 3.0);
+    /// assert_eq!(g.round_ties_even(), -3.0);
+    /// assert_eq!(h.round_ties_even(), 4.0);
+    /// assert_eq!(i.round_ties_even(), 4.0);
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f128", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn round_ties_even(self) -> f128 {
+        intrinsics::round_ties_even_f128(self)
+    }
+
+    /// Returns the integer part of `self`.
+    /// This means that non-integer numbers are always truncated towards zero.
+    ///
+    /// This function always returns the precise result.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f128)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f128_math)] {
+    ///
+    /// let f = 3.7_f128;
+    /// let g = 3.0_f128;
+    /// let h = -3.7_f128;
+    ///
+    /// assert_eq!(f.trunc(), 3.0);
+    /// assert_eq!(g.trunc(), 3.0);
+    /// assert_eq!(h.trunc(), -3.0);
+    /// # }
+    /// ```
+    #[inline]
+    #[doc(alias = "truncate")]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f128", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn trunc(self) -> f128 {
+        // SAFETY: intrinsic with no preconditions
+        unsafe { intrinsics::truncf128(self) }
+    }
+
+    /// Returns the fractional part of `self`.
+    ///
+    /// This function always returns the precise result.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f128)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f128_math)] {
+    ///
+    /// let x = 3.6_f128;
+    /// let y = -3.6_f128;
+    /// let abs_difference_x = (x.fract() - 0.6).abs();
+    /// let abs_difference_y = (y.fract() - (-0.6)).abs();
+    ///
+    /// assert!(abs_difference_x <= f128::EPSILON);
+    /// assert!(abs_difference_y <= f128::EPSILON);
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f128", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn fract(self) -> f128 {
+        self - self.trunc()
+    }
+
+    /// 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` *may* be more performant than an unfused multiply-add if
+    /// the target architecture has a dedicated `fma` CPU instruction. However,
+    /// this is not always true, and will be heavily dependant on designing
+    /// algorithms with specific target hardware in mind.
+    ///
+    /// # Precision
+    ///
+    /// The result of this operation is guaranteed to be the rounded
+    /// infinite-precision result. It is specified by IEEE 754 as
+    /// `fusedMultiplyAdd` and guaranteed not to change.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f128)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f128_math)] {
+    ///
+    /// let m = 10.0_f128;
+    /// let x = 4.0_f128;
+    /// let b = 60.0_f128;
+    ///
+    /// assert_eq!(m.mul_add(x, b), 100.0);
+    /// assert_eq!(m * x + b, 100.0);
+    ///
+    /// let one_plus_eps = 1.0_f128 + f128::EPSILON;
+    /// let one_minus_eps = 1.0_f128 - f128::EPSILON;
+    /// let minus_one = -1.0_f128;
+    ///
+    /// // The exact result (1 + eps) * (1 - eps) = 1 - eps * eps.
+    /// assert_eq!(one_plus_eps.mul_add(one_minus_eps, minus_one), -f128::EPSILON * f128::EPSILON);
+    /// // Different rounding with the non-fused multiply and add.
+    /// assert_eq!(one_plus_eps * one_minus_eps + minus_one, 0.0);
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[doc(alias = "fmaf128", alias = "fusedMultiplyAdd")]
+    #[unstable(feature = "f128", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn mul_add(self, a: f128, b: f128) -> f128 {
+        // SAFETY: intrinsic with no preconditions
+        unsafe { intrinsics::fmaf128(self, a, b) }
+    }
+
+    /// Calculates Euclidean division, the matching method for `rem_euclid`.
+    ///
+    /// This computes the integer `n` such that
+    /// `self = n * rhs + self.rem_euclid(rhs)`.
+    /// In other words, the result is `self / rhs` rounded to the integer `n`
+    /// such that `self >= n * rhs`.
+    ///
+    /// # Precision
+    ///
+    /// The result of this operation is guaranteed to be the rounded
+    /// infinite-precision result.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f128)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f128_math)] {
+    ///
+    /// let a: f128 = 7.0;
+    /// let b = 4.0;
+    /// assert_eq!(a.div_euclid(b), 1.0); // 7.0 > 4.0 * 1.0
+    /// assert_eq!((-a).div_euclid(b), -2.0); // -7.0 >= 4.0 * -2.0
+    /// assert_eq!(a.div_euclid(-b), -1.0); // 7.0 >= -4.0 * -1.0
+    /// assert_eq!((-a).div_euclid(-b), 2.0); // -7.0 >= -4.0 * 2.0
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f128", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn div_euclid(self, rhs: f128) -> f128 {
+        let q = (self / rhs).trunc();
+        if self % rhs < 0.0 {
+            return if rhs > 0.0 { q - 1.0 } else { q + 1.0 };
+        }
+        q
+    }
+
+    /// Calculates the least nonnegative remainder of `self (mod rhs)`.
+    ///
+    /// In particular, the return value `r` satisfies `0.0 <= r < rhs.abs()` in
+    /// most cases. However, due to a floating point round-off error it can
+    /// result in `r == rhs.abs()`, violating the mathematical definition, if
+    /// `self` is much smaller than `rhs.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(rhs) * rhs + self.rem_euclid(rhs)`
+    /// approximately.
+    ///
+    /// # Precision
+    ///
+    /// The result of this operation is guaranteed to be the rounded
+    /// infinite-precision result.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f128)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f128_math)] {
+    ///
+    /// let a: f128 = 7.0;
+    /// let b = 4.0;
+    /// assert_eq!(a.rem_euclid(b), 3.0);
+    /// assert_eq!((-a).rem_euclid(b), 1.0);
+    /// assert_eq!(a.rem_euclid(-b), 3.0);
+    /// assert_eq!((-a).rem_euclid(-b), 1.0);
+    /// // limitation due to round-off error
+    /// assert!((-f128::EPSILON).rem_euclid(3.0) != 0.0);
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[doc(alias = "modulo", alias = "mod")]
+    #[unstable(feature = "f128", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn rem_euclid(self, rhs: f128) -> f128 {
+        let r = self % rhs;
+        if r < 0.0 { r + rhs.abs() } else { r }
+    }
+
+    /// Raises a number to an integer power.
+    ///
+    /// Using this function is generally faster than using `powf`.
+    /// It might have a different sequence of rounding operations than `powf`,
+    /// so the results are not guaranteed to agree.
+    ///
+    /// # Unspecified precision
+    ///
+    /// The precision of this function is non-deterministic. This means it varies by platform,
+    /// Rust version, and can even differ within the same execution from one invocation to the next.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f128)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f128_math)] {
+    ///
+    /// let x = 2.0_f128;
+    /// let abs_difference = (x.powi(2) - (x * x)).abs();
+    /// assert!(abs_difference <= f128::EPSILON);
+    ///
+    /// assert_eq!(f128::powi(f128::NAN, 0), 1.0);
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f128", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn powi(self, n: i32) -> f128 {
+        // SAFETY: intrinsic with no preconditions
+        unsafe { intrinsics::powif128(self, n) }
+    }
+
+    /// Returns the square root of a number.
+    ///
+    /// Returns NaN if `self` is a negative number other than `-0.0`.
+    ///
+    /// # Precision
+    ///
+    /// The result of this operation is guaranteed to be the rounded
+    /// infinite-precision result. It is specified by IEEE 754 as `squareRoot`
+    /// and guaranteed not to change.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f128)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f128_math)] {
+    ///
+    /// let positive = 4.0_f128;
+    /// let negative = -4.0_f128;
+    /// let negative_zero = -0.0_f128;
+    ///
+    /// assert_eq!(positive.sqrt(), 2.0);
+    /// assert!(negative.sqrt().is_nan());
+    /// assert!(negative_zero.sqrt() == negative_zero);
+    /// # }
+    /// ```
+    #[inline]
+    #[doc(alias = "squareRoot")]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f128", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn sqrt(self) -> f128 {
+        // SAFETY: intrinsic with no preconditions
+        unsafe { intrinsics::sqrtf128(self) }
+    }
+}
diff --git a/library/core/src/num/f16.rs b/library/core/src/num/f16.rs
index e47900cba55..1a859f2277f 100644
--- a/library/core/src/num/f16.rs
+++ b/library/core/src/num/f16.rs
@@ -13,6 +13,8 @@
 
 use crate::convert::FloatToInt;
 use crate::num::FpCategory;
+#[cfg(not(test))]
+use crate::num::libm;
 use crate::panic::const_assert;
 use crate::{intrinsics, mem};
 
@@ -1391,3 +1393,446 @@ impl f16 {
         intrinsics::frem_algebraic(self, rhs)
     }
 }
+
+// Functions in this module fall into `core_float_math`
+// #[unstable(feature = "core_float_math", issue = "137578")]
+#[cfg(not(test))]
+impl f16 {
+    /// Returns the largest integer less than or equal to `self`.
+    ///
+    /// This function always returns the precise result.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f16)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f16_math)] {
+    ///
+    /// let f = 3.7_f16;
+    /// let g = 3.0_f16;
+    /// let h = -3.7_f16;
+    ///
+    /// assert_eq!(f.floor(), 3.0);
+    /// assert_eq!(g.floor(), 3.0);
+    /// assert_eq!(h.floor(), -4.0);
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f16", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn floor(self) -> f16 {
+        // SAFETY: intrinsic with no preconditions
+        unsafe { intrinsics::floorf16(self) }
+    }
+
+    /// Returns the smallest integer greater than or equal to `self`.
+    ///
+    /// This function always returns the precise result.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f16)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f16_math)] {
+    ///
+    /// let f = 3.01_f16;
+    /// let g = 4.0_f16;
+    ///
+    /// assert_eq!(f.ceil(), 4.0);
+    /// assert_eq!(g.ceil(), 4.0);
+    /// # }
+    /// ```
+    #[inline]
+    #[doc(alias = "ceiling")]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f16", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn ceil(self) -> f16 {
+        // SAFETY: intrinsic with no preconditions
+        unsafe { intrinsics::ceilf16(self) }
+    }
+
+    /// Returns the nearest integer to `self`. If a value is half-way between two
+    /// integers, round away from `0.0`.
+    ///
+    /// This function always returns the precise result.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f16)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f16_math)] {
+    ///
+    /// let f = 3.3_f16;
+    /// let g = -3.3_f16;
+    /// let h = -3.7_f16;
+    /// let i = 3.5_f16;
+    /// let j = 4.5_f16;
+    ///
+    /// assert_eq!(f.round(), 3.0);
+    /// assert_eq!(g.round(), -3.0);
+    /// assert_eq!(h.round(), -4.0);
+    /// assert_eq!(i.round(), 4.0);
+    /// assert_eq!(j.round(), 5.0);
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f16", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn round(self) -> f16 {
+        // SAFETY: intrinsic with no preconditions
+        unsafe { intrinsics::roundf16(self) }
+    }
+
+    /// Returns the nearest integer to a number. Rounds half-way cases to the number
+    /// with an even least significant digit.
+    ///
+    /// This function always returns the precise result.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f16)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f16_math)] {
+    ///
+    /// let f = 3.3_f16;
+    /// let g = -3.3_f16;
+    /// let h = 3.5_f16;
+    /// let i = 4.5_f16;
+    ///
+    /// assert_eq!(f.round_ties_even(), 3.0);
+    /// assert_eq!(g.round_ties_even(), -3.0);
+    /// assert_eq!(h.round_ties_even(), 4.0);
+    /// assert_eq!(i.round_ties_even(), 4.0);
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f16", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn round_ties_even(self) -> f16 {
+        intrinsics::round_ties_even_f16(self)
+    }
+
+    /// Returns the integer part of `self`.
+    /// This means that non-integer numbers are always truncated towards zero.
+    ///
+    /// This function always returns the precise result.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f16)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f16_math)] {
+    ///
+    /// let f = 3.7_f16;
+    /// let g = 3.0_f16;
+    /// let h = -3.7_f16;
+    ///
+    /// assert_eq!(f.trunc(), 3.0);
+    /// assert_eq!(g.trunc(), 3.0);
+    /// assert_eq!(h.trunc(), -3.0);
+    /// # }
+    /// ```
+    #[inline]
+    #[doc(alias = "truncate")]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f16", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn trunc(self) -> f16 {
+        // SAFETY: intrinsic with no preconditions
+        unsafe { intrinsics::truncf16(self) }
+    }
+
+    /// Returns the fractional part of `self`.
+    ///
+    /// This function always returns the precise result.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f16)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f16_math)] {
+    ///
+    /// let x = 3.6_f16;
+    /// let y = -3.6_f16;
+    /// let abs_difference_x = (x.fract() - 0.6).abs();
+    /// let abs_difference_y = (y.fract() - (-0.6)).abs();
+    ///
+    /// assert!(abs_difference_x <= f16::EPSILON);
+    /// assert!(abs_difference_y <= f16::EPSILON);
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f16", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn fract(self) -> f16 {
+        self - self.trunc()
+    }
+
+    /// 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` *may* be more performant than an unfused multiply-add if
+    /// the target architecture has a dedicated `fma` CPU instruction. However,
+    /// this is not always true, and will be heavily dependant on designing
+    /// algorithms with specific target hardware in mind.
+    ///
+    /// # Precision
+    ///
+    /// The result of this operation is guaranteed to be the rounded
+    /// infinite-precision result. It is specified by IEEE 754 as
+    /// `fusedMultiplyAdd` and guaranteed not to change.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f16)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f16_math)] {
+    ///
+    /// let m = 10.0_f16;
+    /// let x = 4.0_f16;
+    /// let b = 60.0_f16;
+    ///
+    /// assert_eq!(m.mul_add(x, b), 100.0);
+    /// assert_eq!(m * x + b, 100.0);
+    ///
+    /// let one_plus_eps = 1.0_f16 + f16::EPSILON;
+    /// let one_minus_eps = 1.0_f16 - f16::EPSILON;
+    /// let minus_one = -1.0_f16;
+    ///
+    /// // The exact result (1 + eps) * (1 - eps) = 1 - eps * eps.
+    /// assert_eq!(one_plus_eps.mul_add(one_minus_eps, minus_one), -f16::EPSILON * f16::EPSILON);
+    /// // Different rounding with the non-fused multiply and add.
+    /// assert_eq!(one_plus_eps * one_minus_eps + minus_one, 0.0);
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f16", issue = "116909")]
+    #[doc(alias = "fmaf16", alias = "fusedMultiplyAdd")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn mul_add(self, a: f16, b: f16) -> f16 {
+        // SAFETY: intrinsic with no preconditions
+        unsafe { intrinsics::fmaf16(self, a, b) }
+    }
+
+    /// Calculates Euclidean division, the matching method for `rem_euclid`.
+    ///
+    /// This computes the integer `n` such that
+    /// `self = n * rhs + self.rem_euclid(rhs)`.
+    /// In other words, the result is `self / rhs` rounded to the integer `n`
+    /// such that `self >= n * rhs`.
+    ///
+    /// # Precision
+    ///
+    /// The result of this operation is guaranteed to be the rounded
+    /// infinite-precision result.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f16)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f16_math)] {
+    ///
+    /// let a: f16 = 7.0;
+    /// let b = 4.0;
+    /// assert_eq!(a.div_euclid(b), 1.0); // 7.0 > 4.0 * 1.0
+    /// assert_eq!((-a).div_euclid(b), -2.0); // -7.0 >= 4.0 * -2.0
+    /// assert_eq!(a.div_euclid(-b), -1.0); // 7.0 >= -4.0 * -1.0
+    /// assert_eq!((-a).div_euclid(-b), 2.0); // -7.0 >= -4.0 * 2.0
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f16", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn div_euclid(self, rhs: f16) -> f16 {
+        let q = (self / rhs).trunc();
+        if self % rhs < 0.0 {
+            return if rhs > 0.0 { q - 1.0 } else { q + 1.0 };
+        }
+        q
+    }
+
+    /// Calculates the least nonnegative remainder of `self (mod rhs)`.
+    ///
+    /// In particular, the return value `r` satisfies `0.0 <= r < rhs.abs()` in
+    /// most cases. However, due to a floating point round-off error it can
+    /// result in `r == rhs.abs()`, violating the mathematical definition, if
+    /// `self` is much smaller than `rhs.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(rhs) * rhs + self.rem_euclid(rhs)`
+    /// approximately.
+    ///
+    /// # Precision
+    ///
+    /// The result of this operation is guaranteed to be the rounded
+    /// infinite-precision result.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f16)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f16_math)] {
+    ///
+    /// let a: f16 = 7.0;
+    /// let b = 4.0;
+    /// assert_eq!(a.rem_euclid(b), 3.0);
+    /// assert_eq!((-a).rem_euclid(b), 1.0);
+    /// assert_eq!(a.rem_euclid(-b), 3.0);
+    /// assert_eq!((-a).rem_euclid(-b), 1.0);
+    /// // limitation due to round-off error
+    /// assert!((-f16::EPSILON).rem_euclid(3.0) != 0.0);
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[doc(alias = "modulo", alias = "mod")]
+    #[unstable(feature = "f16", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn rem_euclid(self, rhs: f16) -> f16 {
+        let r = self % rhs;
+        if r < 0.0 { r + rhs.abs() } else { r }
+    }
+
+    /// Raises a number to an integer power.
+    ///
+    /// Using this function is generally faster than using `powf`.
+    /// It might have a different sequence of rounding operations than `powf`,
+    /// so the results are not guaranteed to agree.
+    ///
+    /// # Unspecified precision
+    ///
+    /// The precision of this function is non-deterministic. This means it varies by platform,
+    /// Rust version, and can even differ within the same execution from one invocation to the next.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f16)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f16_math)] {
+    ///
+    /// let x = 2.0_f16;
+    /// let abs_difference = (x.powi(2) - (x * x)).abs();
+    /// assert!(abs_difference <= f16::EPSILON);
+    ///
+    /// assert_eq!(f16::powi(f16::NAN, 0), 1.0);
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f16", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn powi(self, n: i32) -> f16 {
+        // SAFETY: intrinsic with no preconditions
+        unsafe { intrinsics::powif16(self, n) }
+    }
+
+    /// Returns the square root of a number.
+    ///
+    /// Returns NaN if `self` is a negative number other than `-0.0`.
+    ///
+    /// # Precision
+    ///
+    /// The result of this operation is guaranteed to be the rounded
+    /// infinite-precision result. It is specified by IEEE 754 as `squareRoot`
+    /// and guaranteed not to change.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f16)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f16_math)] {
+    ///
+    /// let positive = 4.0_f16;
+    /// let negative = -4.0_f16;
+    /// let negative_zero = -0.0_f16;
+    ///
+    /// assert_eq!(positive.sqrt(), 2.0);
+    /// assert!(negative.sqrt().is_nan());
+    /// assert!(negative_zero.sqrt() == negative_zero);
+    /// # }
+    /// ```
+    #[inline]
+    #[doc(alias = "squareRoot")]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f16", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn sqrt(self) -> f16 {
+        // SAFETY: intrinsic with no preconditions
+        unsafe { intrinsics::sqrtf16(self) }
+    }
+
+    /// Returns the cube root of a number.
+    ///
+    /// # Unspecified precision
+    ///
+    /// The precision of this function is non-deterministic. This means it varies by platform,
+    /// Rust version, and can even differ within the same execution from one invocation to the next.
+    ///
+    /// This function currently corresponds to the `cbrtf` from libc on Unix
+    /// and Windows. Note that this might change in the future.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(f16)]
+    /// # #![feature(cfg_target_has_reliable_f16_f128)]
+    /// # #![expect(internal_features)]
+    /// # #[cfg(not(miri))]
+    /// # #[cfg(target_has_reliable_f16_math)] {
+    ///
+    /// let x = 8.0f16;
+    ///
+    /// // x^(1/3) - 2 == 0
+    /// let abs_difference = (x.cbrt() - 2.0).abs();
+    ///
+    /// assert!(abs_difference <= f16::EPSILON);
+    /// # }
+    /// ```
+    #[inline]
+    #[rustc_allow_incoherent_impl]
+    #[unstable(feature = "f16", issue = "116909")]
+    #[must_use = "method returns a new number and does not mutate the original value"]
+    pub fn cbrt(self) -> f16 {
+        libm::cbrtf(self as f32) as f16
+    }
+}
diff --git a/library/core/src/num/f32.rs b/library/core/src/num/f32.rs
index 5fbc6eb33f1..9525bdb6762 100644
--- a/library/core/src/num/f32.rs
+++ b/library/core/src/num/f32.rs
@@ -12,7 +12,7 @@
 #![stable(feature = "rust1", since = "1.0.0")]
 
 use crate::convert::FloatToInt;
-use crate::num::FpCategory;
+use crate::num::{FpCategory, libm};
 use crate::panic::const_assert;
 use crate::{cfg_match, intrinsics, mem};
 
@@ -1556,3 +1556,414 @@ impl f32 {
         intrinsics::frem_algebraic(self, rhs)
     }
 }
+
+/// Experimental version of `floor` in `core`. See [`f32::floor`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f32;
+///
+/// let f = 3.7_f32;
+/// let g = 3.0_f32;
+/// let h = -3.7_f32;
+///
+/// assert_eq!(f32::floor(f), 3.0);
+/// assert_eq!(f32::floor(g), 3.0);
+/// assert_eq!(f32::floor(h), -4.0);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f32::floor`]: ../../std/primitive.f32.html#method.floor
+#[inline]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn floor(x: f32) -> f32 {
+    // SAFETY: intrinsic with no preconditions
+    unsafe { intrinsics::floorf32(x) }
+}
+
+/// Experimental version of `ceil` in `core`. See [`f32::ceil`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f32;
+///
+/// let f = 3.01_f32;
+/// let g = 4.0_f32;
+///
+/// assert_eq!(f32::ceil(f), 4.0);
+/// assert_eq!(f32::ceil(g), 4.0);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f32::ceil`]: ../../std/primitive.f32.html#method.ceil
+#[inline]
+#[doc(alias = "ceiling")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+#[unstable(feature = "core_float_math", issue = "137578")]
+pub fn ceil(x: f32) -> f32 {
+    // SAFETY: intrinsic with no preconditions
+    unsafe { intrinsics::ceilf32(x) }
+}
+
+/// Experimental version of `round` in `core`. See [`f32::round`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f32;
+///
+/// let f = 3.3_f32;
+/// let g = -3.3_f32;
+/// let h = -3.7_f32;
+/// let i = 3.5_f32;
+/// let j = 4.5_f32;
+///
+/// assert_eq!(f32::round(f), 3.0);
+/// assert_eq!(f32::round(g), -3.0);
+/// assert_eq!(f32::round(h), -4.0);
+/// assert_eq!(f32::round(i), 4.0);
+/// assert_eq!(f32::round(j), 5.0);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f32::round`]: ../../std/primitive.f32.html#method.round
+#[inline]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn round(x: f32) -> f32 {
+    // SAFETY: intrinsic with no preconditions
+    unsafe { intrinsics::roundf32(x) }
+}
+
+/// Experimental version of `round_ties_even` in `core`. See [`f32::round_ties_even`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f32;
+///
+/// let f = 3.3_f32;
+/// let g = -3.3_f32;
+/// let h = 3.5_f32;
+/// let i = 4.5_f32;
+///
+/// assert_eq!(f32::round_ties_even(f), 3.0);
+/// assert_eq!(f32::round_ties_even(g), -3.0);
+/// assert_eq!(f32::round_ties_even(h), 4.0);
+/// assert_eq!(f32::round_ties_even(i), 4.0);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f32::round_ties_even`]: ../../std/primitive.f32.html#method.round_ties_even
+#[inline]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn round_ties_even(x: f32) -> f32 {
+    intrinsics::round_ties_even_f32(x)
+}
+
+/// Experimental version of `trunc` in `core`. See [`f32::trunc`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f32;
+///
+/// let f = 3.7_f32;
+/// let g = 3.0_f32;
+/// let h = -3.7_f32;
+///
+/// assert_eq!(f32::trunc(f), 3.0);
+/// assert_eq!(f32::trunc(g), 3.0);
+/// assert_eq!(f32::trunc(h), -3.0);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f32::trunc`]: ../../std/primitive.f32.html#method.trunc
+#[inline]
+#[doc(alias = "truncate")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+#[unstable(feature = "core_float_math", issue = "137578")]
+pub fn trunc(x: f32) -> f32 {
+    // SAFETY: intrinsic with no preconditions
+    unsafe { intrinsics::truncf32(x) }
+}
+
+/// Experimental version of `fract` in `core`. See [`f32::fract`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f32;
+///
+/// let x = 3.6_f32;
+/// let y = -3.6_f32;
+/// let abs_difference_x = (f32::fract(x) - 0.6).abs();
+/// let abs_difference_y = (f32::fract(y) - (-0.6)).abs();
+///
+/// assert!(abs_difference_x <= f32::EPSILON);
+/// assert!(abs_difference_y <= f32::EPSILON);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f32::fract`]: ../../std/primitive.f32.html#method.fract
+#[inline]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn fract(x: f32) -> f32 {
+    x - trunc(x)
+}
+
+/// Experimental version of `mul_add` in `core`. See [`f32::mul_add`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// # // FIXME(#140515): mingw has an incorrect fma https://sourceforge.net/p/mingw-w64/bugs/848/
+/// # #[cfg(all(target_os = "windows", target_env = "gnu", not(target_abi = "llvm")))] {
+/// use core::f32;
+///
+/// let m = 10.0_f32;
+/// let x = 4.0_f32;
+/// let b = 60.0_f32;
+///
+/// assert_eq!(f32::mul_add(m, x, b), 100.0);
+/// assert_eq!(m * x + b, 100.0);
+///
+/// let one_plus_eps = 1.0_f32 + f32::EPSILON;
+/// let one_minus_eps = 1.0_f32 - f32::EPSILON;
+/// let minus_one = -1.0_f32;
+///
+/// // The exact result (1 + eps) * (1 - eps) = 1 - eps * eps.
+/// assert_eq!(f32::mul_add(one_plus_eps, one_minus_eps, minus_one), -f32::EPSILON * f32::EPSILON);
+/// // Different rounding with the non-fused multiply and add.
+/// assert_eq!(one_plus_eps * one_minus_eps + minus_one, 0.0);
+/// # }
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f32::mul_add`]: ../../std/primitive.f32.html#method.mul_add
+#[inline]
+#[doc(alias = "fmaf", alias = "fusedMultiplyAdd")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+#[unstable(feature = "core_float_math", issue = "137578")]
+pub fn mul_add(x: f32, y: f32, z: f32) -> f32 {
+    // SAFETY: intrinsic with no preconditions
+    unsafe { intrinsics::fmaf32(x, y, z) }
+}
+
+/// Experimental version of `div_euclid` in `core`. See [`f32::div_euclid`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f32;
+///
+/// let a: f32 = 7.0;
+/// let b = 4.0;
+/// assert_eq!(f32::div_euclid(a, b), 1.0); // 7.0 > 4.0 * 1.0
+/// assert_eq!(f32::div_euclid(-a, b), -2.0); // -7.0 >= 4.0 * -2.0
+/// assert_eq!(f32::div_euclid(a, -b), -1.0); // 7.0 >= -4.0 * -1.0
+/// assert_eq!(f32::div_euclid(-a, -b), 2.0); // -7.0 >= -4.0 * 2.0
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f32::div_euclid`]: ../../std/primitive.f32.html#method.div_euclid
+#[inline]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn div_euclid(x: f32, rhs: f32) -> f32 {
+    let q = trunc(x / rhs);
+    if x % rhs < 0.0 {
+        return if rhs > 0.0 { q - 1.0 } else { q + 1.0 };
+    }
+    q
+}
+
+/// Experimental version of `rem_euclid` in `core`. See [`f32::rem_euclid`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f32;
+///
+/// let a: f32 = 7.0;
+/// let b = 4.0;
+/// assert_eq!(f32::rem_euclid(a, b), 3.0);
+/// assert_eq!(f32::rem_euclid(-a, b), 1.0);
+/// assert_eq!(f32::rem_euclid(a, -b), 3.0);
+/// assert_eq!(f32::rem_euclid(-a, -b), 1.0);
+/// // limitation due to round-off error
+/// assert!(f32::rem_euclid(-f32::EPSILON, 3.0) != 0.0);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f32::rem_euclid`]: ../../std/primitive.f32.html#method.rem_euclid
+#[inline]
+#[doc(alias = "modulo", alias = "mod")]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn rem_euclid(x: f32, rhs: f32) -> f32 {
+    let r = x % rhs;
+    if r < 0.0 { r + rhs.abs() } else { r }
+}
+
+/// Experimental version of `powi` in `core`. See [`f32::powi`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f32;
+///
+/// let x = 2.0_f32;
+/// let abs_difference = (f32::powi(x, 2) - (x * x)).abs();
+/// assert!(abs_difference <= f32::EPSILON);
+///
+/// assert_eq!(f32::powi(f32::NAN, 0), 1.0);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f32::powi`]: ../../std/primitive.f32.html#method.powi
+#[inline]
+#[must_use = "method returns a new number and does not mutate the original value"]
+#[unstable(feature = "core_float_math", issue = "137578")]
+pub fn powi(x: f32, n: i32) -> f32 {
+    // SAFETY: intrinsic with no preconditions
+    unsafe { intrinsics::powif32(x, n) }
+}
+
+/// Experimental version of `sqrt` in `core`. See [`f32::sqrt`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f32;
+///
+/// let positive = 4.0_f32;
+/// let negative = -4.0_f32;
+/// let negative_zero = -0.0_f32;
+///
+/// assert_eq!(f32::sqrt(positive), 2.0);
+/// assert!(f32::sqrt(negative).is_nan());
+/// assert_eq!(f32::sqrt(negative_zero), negative_zero);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f32::sqrt`]: ../../std/primitive.f32.html#method.sqrt
+#[inline]
+#[doc(alias = "squareRoot")]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn sqrt(x: f32) -> f32 {
+    // SAFETY: intrinsic with no preconditions
+    unsafe { intrinsics::sqrtf32(x) }
+}
+
+/// Experimental version of `abs_sub` in `core`. See [`f32::abs_sub`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f32;
+///
+/// let x = 3.0f32;
+/// let y = -3.0f32;
+///
+/// let abs_difference_x = (f32::abs_sub(x, 1.0) - 2.0).abs();
+/// let abs_difference_y = (f32::abs_sub(y, 1.0) - 0.0).abs();
+///
+/// assert!(abs_difference_x <= f32::EPSILON);
+/// assert!(abs_difference_y <= f32::EPSILON);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f32::abs_sub`]: ../../std/primitive.f32.html#method.abs_sub
+#[inline]
+#[stable(feature = "rust1", since = "1.0.0")]
+#[deprecated(
+    since = "1.10.0",
+    note = "you probably meant `(self - other).abs()`: \
+            this operation is `(self - other).max(0.0)` \
+            except that `abs_sub` also propagates NaNs (also \
+            known as `fdimf` in C). If you truly need the positive \
+            difference, consider using that expression or the C function \
+            `fdimf`, depending on how you wish to handle NaN (please consider \
+            filing an issue describing your use-case too)."
+)]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn abs_sub(x: f32, other: f32) -> f32 {
+    libm::fdimf(x, other)
+}
+
+/// Experimental version of `cbrt` in `core`. See [`f32::cbrt`] for details.
+///
+/// # Unspecified precision
+///
+/// The precision of this function is non-deterministic. This means it varies by platform, Rust version, and
+/// can even differ within the same execution from one invocation to the next.
+/// This function currently corresponds to the `cbrtf` from libc on Unix
+/// and Windows. Note that this might change in the future.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f32;
+///
+/// let x = 8.0f32;
+///
+/// // x^(1/3) - 2 == 0
+/// let abs_difference = (f32::cbrt(x) - 2.0).abs();
+///
+/// assert!(abs_difference <= f32::EPSILON);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f32::cbrt`]: ../../std/primitive.f32.html#method.cbrt
+#[inline]
+#[must_use = "method returns a new number and does not mutate the original value"]
+#[unstable(feature = "core_float_math", issue = "137578")]
+pub fn cbrt(x: f32) -> f32 {
+    libm::cbrtf(x)
+}
diff --git a/library/core/src/num/f64.rs b/library/core/src/num/f64.rs
index 81ab0f14c2b..76c4e5d1a6f 100644
--- a/library/core/src/num/f64.rs
+++ b/library/core/src/num/f64.rs
@@ -12,7 +12,7 @@
 #![stable(feature = "rust1", since = "1.0.0")]
 
 use crate::convert::FloatToInt;
-use crate::num::FpCategory;
+use crate::num::{FpCategory, libm};
 use crate::panic::const_assert;
 use crate::{intrinsics, mem};
 
@@ -1555,3 +1555,407 @@ impl f64 {
         intrinsics::frem_algebraic(self, rhs)
     }
 }
+
+/// Experimental version of `floor` in `core`. See [`f64::floor`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f64;
+///
+/// let f = 3.7_f64;
+/// let g = 3.0_f64;
+/// let h = -3.7_f64;
+///
+/// assert_eq!(f64::floor(f), 3.0);
+/// assert_eq!(f64::floor(g), 3.0);
+/// assert_eq!(f64::floor(h), -4.0);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f64::floor`]: ../../std/primitive.f64.html#method.floor
+#[inline]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn floor(x: f64) -> f64 {
+    // SAFETY: intrinsic with no preconditions
+    unsafe { intrinsics::floorf64(x) }
+}
+
+/// Experimental version of `ceil` in `core`. See [`f64::ceil`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f64;
+///
+/// let f = 3.01_f64;
+/// let g = 4.0_f64;
+///
+/// assert_eq!(f64::ceil(f), 4.0);
+/// assert_eq!(f64::ceil(g), 4.0);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f64::ceil`]: ../../std/primitive.f64.html#method.ceil
+#[inline]
+#[doc(alias = "ceiling")]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn ceil(x: f64) -> f64 {
+    // SAFETY: intrinsic with no preconditions
+    unsafe { intrinsics::ceilf64(x) }
+}
+
+/// Experimental version of `round` in `core`. See [`f64::round`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f64;
+///
+/// let f = 3.3_f64;
+/// let g = -3.3_f64;
+/// let h = -3.7_f64;
+/// let i = 3.5_f64;
+/// let j = 4.5_f64;
+///
+/// assert_eq!(f64::round(f), 3.0);
+/// assert_eq!(f64::round(g), -3.0);
+/// assert_eq!(f64::round(h), -4.0);
+/// assert_eq!(f64::round(i), 4.0);
+/// assert_eq!(f64::round(j), 5.0);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f64::round`]: ../../std/primitive.f64.html#method.round
+#[inline]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn round(x: f64) -> f64 {
+    // SAFETY: intrinsic with no preconditions
+    unsafe { intrinsics::roundf64(x) }
+}
+
+/// Experimental version of `round_ties_even` in `core`. See [`f64::round_ties_even`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f64;
+///
+/// let f = 3.3_f64;
+/// let g = -3.3_f64;
+/// let h = 3.5_f64;
+/// let i = 4.5_f64;
+///
+/// assert_eq!(f64::round_ties_even(f), 3.0);
+/// assert_eq!(f64::round_ties_even(g), -3.0);
+/// assert_eq!(f64::round_ties_even(h), 4.0);
+/// assert_eq!(f64::round_ties_even(i), 4.0);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f64::round_ties_even`]: ../../std/primitive.f64.html#method.round_ties_even
+#[inline]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn round_ties_even(x: f64) -> f64 {
+    intrinsics::round_ties_even_f64(x)
+}
+
+/// Experimental version of `trunc` in `core`. See [`f64::trunc`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f64;
+///
+/// let f = 3.7_f64;
+/// let g = 3.0_f64;
+/// let h = -3.7_f64;
+///
+/// assert_eq!(f64::trunc(f), 3.0);
+/// assert_eq!(f64::trunc(g), 3.0);
+/// assert_eq!(f64::trunc(h), -3.0);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f64::trunc`]: ../../std/primitive.f64.html#method.trunc
+#[inline]
+#[doc(alias = "truncate")]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn trunc(x: f64) -> f64 {
+    // SAFETY: intrinsic with no preconditions
+    unsafe { intrinsics::truncf64(x) }
+}
+
+/// Experimental version of `fract` in `core`. See [`f64::fract`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f64;
+///
+/// let x = 3.6_f64;
+/// let y = -3.6_f64;
+/// let abs_difference_x = (f64::fract(x) - 0.6).abs();
+/// let abs_difference_y = (f64::fract(y) - (-0.6)).abs();
+///
+/// assert!(abs_difference_x < 1e-10);
+/// assert!(abs_difference_y < 1e-10);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f64::fract`]: ../../std/primitive.f64.html#method.fract
+#[inline]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn fract(x: f64) -> f64 {
+    x - trunc(x)
+}
+
+/// Experimental version of `mul_add` in `core`. See [`f64::mul_add`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// # // FIXME(#140515): mingw has an incorrect fma https://sourceforge.net/p/mingw-w64/bugs/848/
+/// # #[cfg(all(target_os = "windows", target_env = "gnu", not(target_abi = "llvm")))] {
+/// use core::f64;
+///
+/// let m = 10.0_f64;
+/// let x = 4.0_f64;
+/// let b = 60.0_f64;
+///
+/// assert_eq!(f64::mul_add(m, x, b), 100.0);
+/// assert_eq!(m * x + b, 100.0);
+///
+/// let one_plus_eps = 1.0_f64 + f64::EPSILON;
+/// let one_minus_eps = 1.0_f64 - f64::EPSILON;
+/// let minus_one = -1.0_f64;
+///
+/// // The exact result (1 + eps) * (1 - eps) = 1 - eps * eps.
+/// assert_eq!(f64::mul_add(one_plus_eps, one_minus_eps, minus_one), -f64::EPSILON * f64::EPSILON);
+/// // Different rounding with the non-fused multiply and add.
+/// assert_eq!(one_plus_eps * one_minus_eps + minus_one, 0.0);
+/// # }
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f64::mul_add`]: ../../std/primitive.f64.html#method.mul_add
+#[inline]
+#[doc(alias = "fma", alias = "fusedMultiplyAdd")]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn mul_add(x: f64, a: f64, b: f64) -> f64 {
+    // SAFETY: intrinsic with no preconditions
+    unsafe { intrinsics::fmaf64(x, a, b) }
+}
+
+/// Experimental version of `div_euclid` in `core`. See [`f64::div_euclid`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f64;
+///
+/// let a: f64 = 7.0;
+/// let b = 4.0;
+/// assert_eq!(f64::div_euclid(a, b), 1.0); // 7.0 > 4.0 * 1.0
+/// assert_eq!(f64::div_euclid(-a, b), -2.0); // -7.0 >= 4.0 * -2.0
+/// assert_eq!(f64::div_euclid(a, -b), -1.0); // 7.0 >= -4.0 * -1.0
+/// assert_eq!(f64::div_euclid(-a, -b), 2.0); // -7.0 >= -4.0 * 2.0
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f64::div_euclid`]: ../../std/primitive.f64.html#method.div_euclid
+#[inline]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn div_euclid(x: f64, rhs: f64) -> f64 {
+    let q = trunc(x / rhs);
+    if x % rhs < 0.0 {
+        return if rhs > 0.0 { q - 1.0 } else { q + 1.0 };
+    }
+    q
+}
+
+/// Experimental version of `rem_euclid` in `core`. See [`f64::rem_euclid`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f64;
+///
+/// let a: f64 = 7.0;
+/// let b = 4.0;
+/// assert_eq!(f64::rem_euclid(a, b), 3.0);
+/// assert_eq!(f64::rem_euclid(-a, b), 1.0);
+/// assert_eq!(f64::rem_euclid(a, -b), 3.0);
+/// assert_eq!(f64::rem_euclid(-a, -b), 1.0);
+/// // limitation due to round-off error
+/// assert!(f64::rem_euclid(-f64::EPSILON, 3.0) != 0.0);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f64::rem_euclid`]: ../../std/primitive.f64.html#method.rem_euclid
+#[inline]
+#[doc(alias = "modulo", alias = "mod")]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn rem_euclid(x: f64, rhs: f64) -> f64 {
+    let r = x % rhs;
+    if r < 0.0 { r + rhs.abs() } else { r }
+}
+
+/// Experimental version of `powi` in `core`. See [`f64::powi`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f64;
+///
+/// let x = 2.0_f64;
+/// let abs_difference = (f64::powi(x, 2) - (x * x)).abs();
+/// assert!(abs_difference <= f64::EPSILON);
+///
+/// assert_eq!(f64::powi(f64::NAN, 0), 1.0);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f64::powi`]: ../../std/primitive.f64.html#method.powi
+#[inline]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn powi(x: f64, n: i32) -> f64 {
+    // SAFETY: intrinsic with no preconditions
+    unsafe { intrinsics::powif64(x, n) }
+}
+
+/// Experimental version of `sqrt` in `core`. See [`f64::sqrt`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f64;
+///
+/// let positive = 4.0_f64;
+/// let negative = -4.0_f64;
+/// let negative_zero = -0.0_f64;
+///
+/// assert_eq!(f64::sqrt(positive), 2.0);
+/// assert!(f64::sqrt(negative).is_nan());
+/// assert_eq!(f64::sqrt(negative_zero), negative_zero);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f64::sqrt`]: ../../std/primitive.f64.html#method.sqrt
+#[inline]
+#[doc(alias = "squareRoot")]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn sqrt(x: f64) -> f64 {
+    // SAFETY: intrinsic with no preconditions
+    unsafe { intrinsics::sqrtf64(x) }
+}
+
+/// Experimental version of `abs_sub` in `core`. See [`f64::abs_sub`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f64;
+///
+/// let x = 3.0_f64;
+/// let y = -3.0_f64;
+///
+/// let abs_difference_x = (f64::abs_sub(x, 1.0) - 2.0).abs();
+/// let abs_difference_y = (f64::abs_sub(y, 1.0) - 0.0).abs();
+///
+/// assert!(abs_difference_x < 1e-10);
+/// assert!(abs_difference_y < 1e-10);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f64::abs_sub`]: ../../std/primitive.f64.html#method.abs_sub
+#[inline]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[deprecated(
+    since = "1.10.0",
+    note = "you probably meant `(self - other).abs()`: \
+                this operation is `(self - other).max(0.0)` \
+                except that `abs_sub` also propagates NaNs (also \
+                known as `fdim` in C). If you truly need the positive \
+                difference, consider using that expression or the C function \
+                `fdim`, depending on how you wish to handle NaN (please consider \
+                filing an issue describing your use-case too)."
+)]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn abs_sub(x: f64, other: f64) -> f64 {
+    libm::fdim(x, other)
+}
+
+/// Experimental version of `cbrt` in `core`. See [`f64::cbrt`] for details.
+///
+/// # Examples
+///
+/// ```
+/// #![feature(core_float_math)]
+///
+/// use core::f64;
+///
+/// let x = 8.0_f64;
+///
+/// // x^(1/3) - 2 == 0
+/// let abs_difference = (f64::cbrt(x) - 2.0).abs();
+///
+/// assert!(abs_difference < 1e-10);
+/// ```
+///
+/// _This standalone function is for testing only. It will be stabilized as an inherent method._
+///
+/// [`f64::cbrt`]: ../../std/primitive.f64.html#method.cbrt
+#[inline]
+#[unstable(feature = "core_float_math", issue = "137578")]
+#[must_use = "method returns a new number and does not mutate the original value"]
+pub fn cbrt(x: f64) -> f64 {
+    libm::cbrt(x)
+}
diff --git a/library/core/src/num/libm.rs b/library/core/src/num/libm.rs
new file mode 100644
index 00000000000..aeabb087230
--- /dev/null
+++ b/library/core/src/num/libm.rs
@@ -0,0 +1,11 @@
+//! Bindings to math functions provided by the system `libm` or by the `libm` crate, exposed
+//! via `compiler-builtins`.
+
+// SAFETY: These symbols have standard interfaces in C and are defined by `libm`, or are
+// provided by `compiler-builtins` on unsupported platforms.
+unsafe extern "C" {
+    pub(crate) safe fn cbrt(n: f64) -> f64;
+    pub(crate) safe fn cbrtf(n: f32) -> f32;
+    pub(crate) safe fn fdim(a: f64, b: f64) -> f64;
+    pub(crate) safe fn fdimf(a: f32, b: f32) -> f32;
+}
diff --git a/library/core/src/num/mod.rs b/library/core/src/num/mod.rs
index ecc1c7bf902..5c73bddbef2 100644
--- a/library/core/src/num/mod.rs
+++ b/library/core/src/num/mod.rs
@@ -46,6 +46,7 @@ mod uint_macros; // import uint_impl!
 mod error;
 mod int_log10;
 mod int_sqrt;
+pub(crate) mod libm;
 mod nonzero;
 mod overflow_panic;
 mod saturating;
@@ -492,6 +493,26 @@ impl u8 {
         ascii::Char::from_u8(*self)
     }
 
+    /// Converts this byte to an [ASCII character](ascii::Char), without
+    /// checking whether or not it's valid.
+    ///
+    /// # Safety
+    ///
+    /// This byte must be valid ASCII, or else this is UB.
+    #[must_use]
+    #[unstable(feature = "ascii_char", issue = "110998")]
+    #[inline]
+    pub const unsafe fn as_ascii_unchecked(&self) -> ascii::Char {
+        assert_unsafe_precondition!(
+            check_library_ub,
+            "as_ascii_unchecked requires that the byte is valid ASCII",
+            (it: &u8 = self) => it.is_ascii()
+        );
+
+        // SAFETY: the caller promised that this byte is ASCII.
+        unsafe { ascii::Char::from_u8_unchecked(*self) }
+    }
+
     /// Makes a copy of the value in its ASCII upper case equivalent.
     ///
     /// ASCII letters 'a' to 'z' are mapped to 'A' to 'Z',
diff --git a/library/core/src/str/mod.rs b/library/core/src/str/mod.rs
index 9e7e949b722..e505e228095 100644
--- a/library/core/src/str/mod.rs
+++ b/library/core/src/str/mod.rs
@@ -17,6 +17,7 @@ use self::pattern::{DoubleEndedSearcher, Pattern, ReverseSearcher, Searcher};
 use crate::char::{self, EscapeDebugExtArgs};
 use crate::ops::Range;
 use crate::slice::{self, SliceIndex};
+use crate::ub_checks::assert_unsafe_precondition;
 use crate::{ascii, mem};
 
 pub mod pattern;
@@ -2634,6 +2635,27 @@ impl str {
         self.as_bytes().as_ascii()
     }
 
+    /// Converts this string slice into a slice of [ASCII characters](ascii::Char),
+    /// without checking whether they are valid.
+    ///
+    /// # Safety
+    ///
+    /// Every character in this string must be ASCII, or else this is UB.
+    #[unstable(feature = "ascii_char", issue = "110998")]
+    #[must_use]
+    #[inline]
+    pub const unsafe fn as_ascii_unchecked(&self) -> &[ascii::Char] {
+        assert_unsafe_precondition!(
+            check_library_ub,
+            "as_ascii_unchecked requires that the string is valid ASCII",
+            (it: &str = self) => it.is_ascii()
+        );
+
+        // SAFETY: the caller promised that every byte of this string slice
+        // is ASCII.
+        unsafe { self.as_bytes().as_ascii_unchecked() }
+    }
+
     /// Checks that two strings are an ASCII case-insensitive match.
     ///
     /// Same as `to_ascii_lowercase(a) == to_ascii_lowercase(b)`,
diff --git a/library/coretests/Cargo.toml b/library/coretests/Cargo.toml
index 7656388d24b..e0ddcd466ae 100644
--- a/library/coretests/Cargo.toml
+++ b/library/coretests/Cargo.toml
@@ -26,3 +26,14 @@ test = true
 [dev-dependencies]
 rand = { version = "0.9.0", default-features = false }
 rand_xorshift = { version = "0.4.0", default-features = false }
+
+[lints.rust.unexpected_cfgs]
+level = "warn"
+check-cfg = [
+    # Internal features aren't marked known config by default, we use these to
+    # gate tests.
+    'cfg(target_has_reliable_f16)',
+    'cfg(target_has_reliable_f16_math)',
+    'cfg(target_has_reliable_f128)',
+    'cfg(target_has_reliable_f128_math)',
+]
diff --git a/library/coretests/tests/array.rs b/library/coretests/tests/array.rs
index b6d18f1ec38..30ccbbc3203 100644
--- a/library/coretests/tests/array.rs
+++ b/library/coretests/tests/array.rs
@@ -325,7 +325,7 @@ fn array_map_drop_safety() {
     let success = std::panic::catch_unwind(|| {
         let items = [0; 10];
         let mut nth = 0;
-        items.map(|_| {
+        let _ = items.map(|_| {
             assert!(nth < num_to_create);
             nth += 1;
             DropCounter
diff --git a/library/coretests/tests/floats/f128.rs b/library/coretests/tests/floats/f128.rs
new file mode 100644
index 00000000000..12cf651f03f
--- /dev/null
+++ b/library/coretests/tests/floats/f128.rs
@@ -0,0 +1,790 @@
+// FIXME(f16_f128): only tested on platforms that have symbols and aren't buggy
+#![cfg(target_has_reliable_f128)]
+
+use std::f128::consts;
+use std::num::FpCategory as Fp;
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+use std::ops::Rem;
+use std::ops::{Add, Div, Mul, Sub};
+
+// Note these tolerances make sense around zero, but not for more extreme exponents.
+
+/// Default tolerances. Works for values that should be near precise but not exact. Roughly
+/// the precision carried by `100 * 100`.
+const TOL: f128 = 1e-12;
+
+/// For operations that are near exact, usually not involving math of different
+/// signs.
+const TOL_PRECISE: f128 = 1e-28;
+
+/// Smallest number
+const TINY_BITS: u128 = 0x1;
+
+/// Next smallest number
+const TINY_UP_BITS: u128 = 0x2;
+
+/// Exponent = 0b11...10, Sifnificand 0b1111..10. Min val > 0
+const MAX_DOWN_BITS: u128 = 0x7ffefffffffffffffffffffffffffffe;
+
+/// Zeroed exponent, full significant
+const LARGEST_SUBNORMAL_BITS: u128 = 0x0000ffffffffffffffffffffffffffff;
+
+/// Exponent = 0b1, zeroed significand
+const SMALLEST_NORMAL_BITS: u128 = 0x00010000000000000000000000000000;
+
+/// First pattern over the mantissa
+const NAN_MASK1: u128 = 0x0000aaaaaaaaaaaaaaaaaaaaaaaaaaaa;
+
+/// Second pattern over the mantissa
+const NAN_MASK2: u128 = 0x00005555555555555555555555555555;
+
+/// Compare by representation
+#[allow(unused_macros)]
+macro_rules! assert_f128_biteq {
+    ($a:expr, $b:expr) => {
+        let (l, r): (&f128, &f128) = (&$a, &$b);
+        let lb = l.to_bits();
+        let rb = r.to_bits();
+        assert_eq!(lb, rb, "float {l:?} is not bitequal to {r:?}.\na: {lb:#034x}\nb: {rb:#034x}");
+    };
+}
+
+#[test]
+fn test_num_f128() {
+    // FIXME(f16_f128): replace with a `test_num` call once the required `fmodl`/`fmodf128`
+    // function is available on all platforms.
+    let ten = 10f128;
+    let two = 2f128;
+    assert_eq!(ten.add(two), ten + two);
+    assert_eq!(ten.sub(two), ten - two);
+    assert_eq!(ten.mul(two), ten * two);
+    assert_eq!(ten.div(two), ten / two);
+}
+
+// FIXME(f16_f128,miri): many of these have to be disabled since miri does not yet support
+// the intrinsics.
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+fn test_num_f128_rem() {
+    let ten = 10f128;
+    let two = 2f128;
+    assert_eq!(ten.rem(two), ten % two);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+fn test_min_nan() {
+    assert_eq!(f128::NAN.min(2.0), 2.0);
+    assert_eq!(2.0f128.min(f128::NAN), 2.0);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+fn test_max_nan() {
+    assert_eq!(f128::NAN.max(2.0), 2.0);
+    assert_eq!(2.0f128.max(f128::NAN), 2.0);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+fn test_minimum() {
+    assert!(f128::NAN.minimum(2.0).is_nan());
+    assert!(2.0f128.minimum(f128::NAN).is_nan());
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+fn test_maximum() {
+    assert!(f128::NAN.maximum(2.0).is_nan());
+    assert!(2.0f128.maximum(f128::NAN).is_nan());
+}
+
+#[test]
+fn test_nan() {
+    let nan: f128 = f128::NAN;
+    assert!(nan.is_nan());
+    assert!(!nan.is_infinite());
+    assert!(!nan.is_finite());
+    assert!(nan.is_sign_positive());
+    assert!(!nan.is_sign_negative());
+    assert!(!nan.is_normal());
+    assert_eq!(Fp::Nan, nan.classify());
+    // Ensure the quiet bit is set.
+    assert!(nan.to_bits() & (1 << (f128::MANTISSA_DIGITS - 2)) != 0);
+}
+
+#[test]
+fn test_infinity() {
+    let inf: f128 = f128::INFINITY;
+    assert!(inf.is_infinite());
+    assert!(!inf.is_finite());
+    assert!(inf.is_sign_positive());
+    assert!(!inf.is_sign_negative());
+    assert!(!inf.is_nan());
+    assert!(!inf.is_normal());
+    assert_eq!(Fp::Infinite, inf.classify());
+}
+
+#[test]
+fn test_neg_infinity() {
+    let neg_inf: f128 = f128::NEG_INFINITY;
+    assert!(neg_inf.is_infinite());
+    assert!(!neg_inf.is_finite());
+    assert!(!neg_inf.is_sign_positive());
+    assert!(neg_inf.is_sign_negative());
+    assert!(!neg_inf.is_nan());
+    assert!(!neg_inf.is_normal());
+    assert_eq!(Fp::Infinite, neg_inf.classify());
+}
+
+#[test]
+fn test_zero() {
+    let zero: f128 = 0.0f128;
+    assert_eq!(0.0, zero);
+    assert!(!zero.is_infinite());
+    assert!(zero.is_finite());
+    assert!(zero.is_sign_positive());
+    assert!(!zero.is_sign_negative());
+    assert!(!zero.is_nan());
+    assert!(!zero.is_normal());
+    assert_eq!(Fp::Zero, zero.classify());
+}
+
+#[test]
+fn test_neg_zero() {
+    let neg_zero: f128 = -0.0;
+    assert_eq!(0.0, neg_zero);
+    assert!(!neg_zero.is_infinite());
+    assert!(neg_zero.is_finite());
+    assert!(!neg_zero.is_sign_positive());
+    assert!(neg_zero.is_sign_negative());
+    assert!(!neg_zero.is_nan());
+    assert!(!neg_zero.is_normal());
+    assert_eq!(Fp::Zero, neg_zero.classify());
+}
+
+#[test]
+fn test_one() {
+    let one: f128 = 1.0f128;
+    assert_eq!(1.0, one);
+    assert!(!one.is_infinite());
+    assert!(one.is_finite());
+    assert!(one.is_sign_positive());
+    assert!(!one.is_sign_negative());
+    assert!(!one.is_nan());
+    assert!(one.is_normal());
+    assert_eq!(Fp::Normal, one.classify());
+}
+
+#[test]
+fn test_is_nan() {
+    let nan: f128 = f128::NAN;
+    let inf: f128 = f128::INFINITY;
+    let neg_inf: f128 = f128::NEG_INFINITY;
+    assert!(nan.is_nan());
+    assert!(!0.0f128.is_nan());
+    assert!(!5.3f128.is_nan());
+    assert!(!(-10.732f128).is_nan());
+    assert!(!inf.is_nan());
+    assert!(!neg_inf.is_nan());
+}
+
+#[test]
+fn test_is_infinite() {
+    let nan: f128 = f128::NAN;
+    let inf: f128 = f128::INFINITY;
+    let neg_inf: f128 = f128::NEG_INFINITY;
+    assert!(!nan.is_infinite());
+    assert!(inf.is_infinite());
+    assert!(neg_inf.is_infinite());
+    assert!(!0.0f128.is_infinite());
+    assert!(!42.8f128.is_infinite());
+    assert!(!(-109.2f128).is_infinite());
+}
+
+#[test]
+fn test_is_finite() {
+    let nan: f128 = f128::NAN;
+    let inf: f128 = f128::INFINITY;
+    let neg_inf: f128 = f128::NEG_INFINITY;
+    assert!(!nan.is_finite());
+    assert!(!inf.is_finite());
+    assert!(!neg_inf.is_finite());
+    assert!(0.0f128.is_finite());
+    assert!(42.8f128.is_finite());
+    assert!((-109.2f128).is_finite());
+}
+
+#[test]
+fn test_is_normal() {
+    let nan: f128 = f128::NAN;
+    let inf: f128 = f128::INFINITY;
+    let neg_inf: f128 = f128::NEG_INFINITY;
+    let zero: f128 = 0.0f128;
+    let neg_zero: f128 = -0.0;
+    assert!(!nan.is_normal());
+    assert!(!inf.is_normal());
+    assert!(!neg_inf.is_normal());
+    assert!(!zero.is_normal());
+    assert!(!neg_zero.is_normal());
+    assert!(1f128.is_normal());
+    assert!(1e-4931f128.is_normal());
+    assert!(!1e-4932f128.is_normal());
+}
+
+#[test]
+fn test_classify() {
+    let nan: f128 = f128::NAN;
+    let inf: f128 = f128::INFINITY;
+    let neg_inf: f128 = f128::NEG_INFINITY;
+    let zero: f128 = 0.0f128;
+    let neg_zero: f128 = -0.0;
+    assert_eq!(nan.classify(), Fp::Nan);
+    assert_eq!(inf.classify(), Fp::Infinite);
+    assert_eq!(neg_inf.classify(), Fp::Infinite);
+    assert_eq!(zero.classify(), Fp::Zero);
+    assert_eq!(neg_zero.classify(), Fp::Zero);
+    assert_eq!(1f128.classify(), Fp::Normal);
+    assert_eq!(1e-4931f128.classify(), Fp::Normal);
+    assert_eq!(1e-4932f128.classify(), Fp::Subnormal);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+fn test_floor() {
+    assert_approx_eq!(1.0f128.floor(), 1.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.3f128.floor(), 1.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.5f128.floor(), 1.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.7f128.floor(), 1.0f128, TOL_PRECISE);
+    assert_approx_eq!(0.0f128.floor(), 0.0f128, TOL_PRECISE);
+    assert_approx_eq!((-0.0f128).floor(), -0.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.0f128).floor(), -1.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.3f128).floor(), -2.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.5f128).floor(), -2.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.7f128).floor(), -2.0f128, TOL_PRECISE);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+fn test_ceil() {
+    assert_approx_eq!(1.0f128.ceil(), 1.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.3f128.ceil(), 2.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.5f128.ceil(), 2.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.7f128.ceil(), 2.0f128, TOL_PRECISE);
+    assert_approx_eq!(0.0f128.ceil(), 0.0f128, TOL_PRECISE);
+    assert_approx_eq!((-0.0f128).ceil(), -0.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.0f128).ceil(), -1.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.3f128).ceil(), -1.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.5f128).ceil(), -1.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.7f128).ceil(), -1.0f128, TOL_PRECISE);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+fn test_round() {
+    assert_approx_eq!(2.5f128.round(), 3.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.0f128.round(), 1.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.3f128.round(), 1.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.5f128.round(), 2.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.7f128.round(), 2.0f128, TOL_PRECISE);
+    assert_approx_eq!(0.0f128.round(), 0.0f128, TOL_PRECISE);
+    assert_approx_eq!((-0.0f128).round(), -0.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.0f128).round(), -1.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.3f128).round(), -1.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.5f128).round(), -2.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.7f128).round(), -2.0f128, TOL_PRECISE);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+fn test_round_ties_even() {
+    assert_approx_eq!(2.5f128.round_ties_even(), 2.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.0f128.round_ties_even(), 1.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.3f128.round_ties_even(), 1.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.5f128.round_ties_even(), 2.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.7f128.round_ties_even(), 2.0f128, TOL_PRECISE);
+    assert_approx_eq!(0.0f128.round_ties_even(), 0.0f128, TOL_PRECISE);
+    assert_approx_eq!((-0.0f128).round_ties_even(), -0.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.0f128).round_ties_even(), -1.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.3f128).round_ties_even(), -1.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.5f128).round_ties_even(), -2.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.7f128).round_ties_even(), -2.0f128, TOL_PRECISE);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+fn test_trunc() {
+    assert_approx_eq!(1.0f128.trunc(), 1.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.3f128.trunc(), 1.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.5f128.trunc(), 1.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.7f128.trunc(), 1.0f128, TOL_PRECISE);
+    assert_approx_eq!(0.0f128.trunc(), 0.0f128, TOL_PRECISE);
+    assert_approx_eq!((-0.0f128).trunc(), -0.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.0f128).trunc(), -1.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.3f128).trunc(), -1.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.5f128).trunc(), -1.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.7f128).trunc(), -1.0f128, TOL_PRECISE);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+fn test_fract() {
+    assert_approx_eq!(1.0f128.fract(), 0.0f128, TOL_PRECISE);
+    assert_approx_eq!(1.3f128.fract(), 0.3f128, TOL_PRECISE);
+    assert_approx_eq!(1.5f128.fract(), 0.5f128, TOL_PRECISE);
+    assert_approx_eq!(1.7f128.fract(), 0.7f128, TOL_PRECISE);
+    assert_approx_eq!(0.0f128.fract(), 0.0f128, TOL_PRECISE);
+    assert_approx_eq!((-0.0f128).fract(), -0.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.0f128).fract(), -0.0f128, TOL_PRECISE);
+    assert_approx_eq!((-1.3f128).fract(), -0.3f128, TOL_PRECISE);
+    assert_approx_eq!((-1.5f128).fract(), -0.5f128, TOL_PRECISE);
+    assert_approx_eq!((-1.7f128).fract(), -0.7f128, TOL_PRECISE);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+fn test_abs() {
+    assert_eq!(f128::INFINITY.abs(), f128::INFINITY);
+    assert_eq!(1f128.abs(), 1f128);
+    assert_eq!(0f128.abs(), 0f128);
+    assert_eq!((-0f128).abs(), 0f128);
+    assert_eq!((-1f128).abs(), 1f128);
+    assert_eq!(f128::NEG_INFINITY.abs(), f128::INFINITY);
+    assert_eq!((1f128 / f128::NEG_INFINITY).abs(), 0f128);
+    assert!(f128::NAN.abs().is_nan());
+}
+
+#[test]
+fn test_is_sign_positive() {
+    assert!(f128::INFINITY.is_sign_positive());
+    assert!(1f128.is_sign_positive());
+    assert!(0f128.is_sign_positive());
+    assert!(!(-0f128).is_sign_positive());
+    assert!(!(-1f128).is_sign_positive());
+    assert!(!f128::NEG_INFINITY.is_sign_positive());
+    assert!(!(1f128 / f128::NEG_INFINITY).is_sign_positive());
+    assert!(f128::NAN.is_sign_positive());
+    assert!(!(-f128::NAN).is_sign_positive());
+}
+
+#[test]
+fn test_is_sign_negative() {
+    assert!(!f128::INFINITY.is_sign_negative());
+    assert!(!1f128.is_sign_negative());
+    assert!(!0f128.is_sign_negative());
+    assert!((-0f128).is_sign_negative());
+    assert!((-1f128).is_sign_negative());
+    assert!(f128::NEG_INFINITY.is_sign_negative());
+    assert!((1f128 / f128::NEG_INFINITY).is_sign_negative());
+    assert!(!f128::NAN.is_sign_negative());
+    assert!((-f128::NAN).is_sign_negative());
+}
+
+#[test]
+fn test_next_up() {
+    let tiny = f128::from_bits(TINY_BITS);
+    let tiny_up = f128::from_bits(TINY_UP_BITS);
+    let max_down = f128::from_bits(MAX_DOWN_BITS);
+    let largest_subnormal = f128::from_bits(LARGEST_SUBNORMAL_BITS);
+    let smallest_normal = f128::from_bits(SMALLEST_NORMAL_BITS);
+    assert_f128_biteq!(f128::NEG_INFINITY.next_up(), f128::MIN);
+    assert_f128_biteq!(f128::MIN.next_up(), -max_down);
+    assert_f128_biteq!((-1.0 - f128::EPSILON).next_up(), -1.0);
+    assert_f128_biteq!((-smallest_normal).next_up(), -largest_subnormal);
+    assert_f128_biteq!((-tiny_up).next_up(), -tiny);
+    assert_f128_biteq!((-tiny).next_up(), -0.0f128);
+    assert_f128_biteq!((-0.0f128).next_up(), tiny);
+    assert_f128_biteq!(0.0f128.next_up(), tiny);
+    assert_f128_biteq!(tiny.next_up(), tiny_up);
+    assert_f128_biteq!(largest_subnormal.next_up(), smallest_normal);
+    assert_f128_biteq!(1.0f128.next_up(), 1.0 + f128::EPSILON);
+    assert_f128_biteq!(f128::MAX.next_up(), f128::INFINITY);
+    assert_f128_biteq!(f128::INFINITY.next_up(), f128::INFINITY);
+
+    // Check that NaNs roundtrip.
+    let nan0 = f128::NAN;
+    let nan1 = f128::from_bits(f128::NAN.to_bits() ^ 0x002a_aaaa);
+    let nan2 = f128::from_bits(f128::NAN.to_bits() ^ 0x0055_5555);
+    assert_f128_biteq!(nan0.next_up(), nan0);
+    assert_f128_biteq!(nan1.next_up(), nan1);
+    assert_f128_biteq!(nan2.next_up(), nan2);
+}
+
+#[test]
+fn test_next_down() {
+    let tiny = f128::from_bits(TINY_BITS);
+    let tiny_up = f128::from_bits(TINY_UP_BITS);
+    let max_down = f128::from_bits(MAX_DOWN_BITS);
+    let largest_subnormal = f128::from_bits(LARGEST_SUBNORMAL_BITS);
+    let smallest_normal = f128::from_bits(SMALLEST_NORMAL_BITS);
+    assert_f128_biteq!(f128::NEG_INFINITY.next_down(), f128::NEG_INFINITY);
+    assert_f128_biteq!(f128::MIN.next_down(), f128::NEG_INFINITY);
+    assert_f128_biteq!((-max_down).next_down(), f128::MIN);
+    assert_f128_biteq!((-1.0f128).next_down(), -1.0 - f128::EPSILON);
+    assert_f128_biteq!((-largest_subnormal).next_down(), -smallest_normal);
+    assert_f128_biteq!((-tiny).next_down(), -tiny_up);
+    assert_f128_biteq!((-0.0f128).next_down(), -tiny);
+    assert_f128_biteq!((0.0f128).next_down(), -tiny);
+    assert_f128_biteq!(tiny.next_down(), 0.0f128);
+    assert_f128_biteq!(tiny_up.next_down(), tiny);
+    assert_f128_biteq!(smallest_normal.next_down(), largest_subnormal);
+    assert_f128_biteq!((1.0 + f128::EPSILON).next_down(), 1.0f128);
+    assert_f128_biteq!(f128::MAX.next_down(), max_down);
+    assert_f128_biteq!(f128::INFINITY.next_down(), f128::MAX);
+
+    // Check that NaNs roundtrip.
+    let nan0 = f128::NAN;
+    let nan1 = f128::from_bits(f128::NAN.to_bits() ^ 0x002a_aaaa);
+    let nan2 = f128::from_bits(f128::NAN.to_bits() ^ 0x0055_5555);
+    assert_f128_biteq!(nan0.next_down(), nan0);
+    assert_f128_biteq!(nan1.next_down(), nan1);
+    assert_f128_biteq!(nan2.next_down(), nan2);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+fn test_mul_add() {
+    let nan: f128 = f128::NAN;
+    let inf: f128 = f128::INFINITY;
+    let neg_inf: f128 = f128::NEG_INFINITY;
+    assert_approx_eq!(12.3f128.mul_add(4.5, 6.7), 62.05, TOL_PRECISE);
+    assert_approx_eq!((-12.3f128).mul_add(-4.5, -6.7), 48.65, TOL_PRECISE);
+    assert_approx_eq!(0.0f128.mul_add(8.9, 1.2), 1.2, TOL_PRECISE);
+    assert_approx_eq!(3.4f128.mul_add(-0.0, 5.6), 5.6, TOL_PRECISE);
+    assert!(nan.mul_add(7.8, 9.0).is_nan());
+    assert_eq!(inf.mul_add(7.8, 9.0), inf);
+    assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf);
+    assert_eq!(8.9f128.mul_add(inf, 3.2), inf);
+    assert_eq!((-3.2f128).mul_add(2.4, neg_inf), neg_inf);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+fn test_recip() {
+    let nan: f128 = f128::NAN;
+    let inf: f128 = f128::INFINITY;
+    let neg_inf: f128 = f128::NEG_INFINITY;
+    assert_eq!(1.0f128.recip(), 1.0);
+    assert_eq!(2.0f128.recip(), 0.5);
+    assert_eq!((-0.4f128).recip(), -2.5);
+    assert_eq!(0.0f128.recip(), inf);
+    assert_approx_eq!(
+        f128::MAX.recip(),
+        8.40525785778023376565669454330438228902076605e-4933,
+        1e-4900
+    );
+    assert!(nan.recip().is_nan());
+    assert_eq!(inf.recip(), 0.0);
+    assert_eq!(neg_inf.recip(), 0.0);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+fn test_powi() {
+    let nan: f128 = f128::NAN;
+    let inf: f128 = f128::INFINITY;
+    let neg_inf: f128 = f128::NEG_INFINITY;
+    assert_eq!(1.0f128.powi(1), 1.0);
+    assert_approx_eq!((-3.1f128).powi(2), 9.6100000000000005506706202140776519387, TOL);
+    assert_approx_eq!(5.9f128.powi(-2), 0.028727377190462507313100483690639638451, TOL);
+    assert_eq!(8.3f128.powi(0), 1.0);
+    assert!(nan.powi(2).is_nan());
+    assert_eq!(inf.powi(3), inf);
+    assert_eq!(neg_inf.powi(2), inf);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
+fn test_sqrt_domain() {
+    assert!(f128::NAN.sqrt().is_nan());
+    assert!(f128::NEG_INFINITY.sqrt().is_nan());
+    assert!((-1.0f128).sqrt().is_nan());
+    assert_eq!((-0.0f128).sqrt(), -0.0);
+    assert_eq!(0.0f128.sqrt(), 0.0);
+    assert_eq!(1.0f128.sqrt(), 1.0);
+    assert_eq!(f128::INFINITY.sqrt(), f128::INFINITY);
+}
+
+#[test]
+fn test_to_degrees() {
+    let pi: f128 = consts::PI;
+    let nan: f128 = f128::NAN;
+    let inf: f128 = f128::INFINITY;
+    let neg_inf: f128 = f128::NEG_INFINITY;
+    assert_eq!(0.0f128.to_degrees(), 0.0);
+    assert_approx_eq!((-5.8f128).to_degrees(), -332.31552117587745090765431723855668471, TOL);
+    assert_approx_eq!(pi.to_degrees(), 180.0, TOL);
+    assert!(nan.to_degrees().is_nan());
+    assert_eq!(inf.to_degrees(), inf);
+    assert_eq!(neg_inf.to_degrees(), neg_inf);
+    assert_eq!(1_f128.to_degrees(), 57.2957795130823208767981548141051703);
+}
+
+#[test]
+fn test_to_radians() {
+    let pi: f128 = consts::PI;
+    let nan: f128 = f128::NAN;
+    let inf: f128 = f128::INFINITY;
+    let neg_inf: f128 = f128::NEG_INFINITY;
+    assert_eq!(0.0f128.to_radians(), 0.0);
+    assert_approx_eq!(154.6f128.to_radians(), 2.6982790235832334267135442069489767804, TOL);
+    assert_approx_eq!((-332.31f128).to_radians(), -5.7999036373023566567593094812182763013, TOL);
+    // check approx rather than exact because round trip for pi doesn't fall on an exactly
+    // representable value (unlike `f32` and `f64`).
+    assert_approx_eq!(180.0f128.to_radians(), pi, TOL_PRECISE);
+    assert!(nan.to_radians().is_nan());
+    assert_eq!(inf.to_radians(), inf);
+    assert_eq!(neg_inf.to_radians(), neg_inf);
+}
+
+#[test]
+fn test_float_bits_conv() {
+    assert_eq!((1f128).to_bits(), 0x3fff0000000000000000000000000000);
+    assert_eq!((12.5f128).to_bits(), 0x40029000000000000000000000000000);
+    assert_eq!((1337f128).to_bits(), 0x40094e40000000000000000000000000);
+    assert_eq!((-14.25f128).to_bits(), 0xc002c800000000000000000000000000);
+    assert_approx_eq!(f128::from_bits(0x3fff0000000000000000000000000000), 1.0, TOL_PRECISE);
+    assert_approx_eq!(f128::from_bits(0x40029000000000000000000000000000), 12.5, TOL_PRECISE);
+    assert_approx_eq!(f128::from_bits(0x40094e40000000000000000000000000), 1337.0, TOL_PRECISE);
+    assert_approx_eq!(f128::from_bits(0xc002c800000000000000000000000000), -14.25, TOL_PRECISE);
+
+    // Check that NaNs roundtrip their bits regardless of signaling-ness
+    // 0xA is 0b1010; 0x5 is 0b0101 -- so these two together clobbers all the mantissa bits
+    let masked_nan1 = f128::NAN.to_bits() ^ NAN_MASK1;
+    let masked_nan2 = f128::NAN.to_bits() ^ NAN_MASK2;
+    assert!(f128::from_bits(masked_nan1).is_nan());
+    assert!(f128::from_bits(masked_nan2).is_nan());
+
+    assert_eq!(f128::from_bits(masked_nan1).to_bits(), masked_nan1);
+    assert_eq!(f128::from_bits(masked_nan2).to_bits(), masked_nan2);
+}
+
+#[test]
+#[should_panic]
+fn test_clamp_min_greater_than_max() {
+    let _ = 1.0f128.clamp(3.0, 1.0);
+}
+
+#[test]
+#[should_panic]
+fn test_clamp_min_is_nan() {
+    let _ = 1.0f128.clamp(f128::NAN, 1.0);
+}
+
+#[test]
+#[should_panic]
+fn test_clamp_max_is_nan() {
+    let _ = 1.0f128.clamp(3.0, f128::NAN);
+}
+
+#[test]
+fn test_total_cmp() {
+    use core::cmp::Ordering;
+
+    fn quiet_bit_mask() -> u128 {
+        1 << (f128::MANTISSA_DIGITS - 2)
+    }
+
+    // FIXME(f16_f128): test subnormals when powf is available
+    // fn min_subnorm() -> f128 {
+    //     f128::MIN_POSITIVE / f128::powf(2.0, f128::MANTISSA_DIGITS as f128 - 1.0)
+    // }
+
+    // fn max_subnorm() -> f128 {
+    //     f128::MIN_POSITIVE - min_subnorm()
+    // }
+
+    fn q_nan() -> f128 {
+        f128::from_bits(f128::NAN.to_bits() | quiet_bit_mask())
+    }
+
+    fn s_nan() -> f128 {
+        f128::from_bits((f128::NAN.to_bits() & !quiet_bit_mask()) + 42)
+    }
+
+    assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan()));
+    assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan()));
+    assert_eq!(Ordering::Equal, (-f128::INFINITY).total_cmp(&-f128::INFINITY));
+    assert_eq!(Ordering::Equal, (-f128::MAX).total_cmp(&-f128::MAX));
+    assert_eq!(Ordering::Equal, (-2.5_f128).total_cmp(&-2.5));
+    assert_eq!(Ordering::Equal, (-1.0_f128).total_cmp(&-1.0));
+    assert_eq!(Ordering::Equal, (-1.5_f128).total_cmp(&-1.5));
+    assert_eq!(Ordering::Equal, (-0.5_f128).total_cmp(&-0.5));
+    assert_eq!(Ordering::Equal, (-f128::MIN_POSITIVE).total_cmp(&-f128::MIN_POSITIVE));
+    // assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm()));
+    // assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Equal, (-0.0_f128).total_cmp(&-0.0));
+    assert_eq!(Ordering::Equal, 0.0_f128.total_cmp(&0.0));
+    // assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm()));
+    // assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Equal, f128::MIN_POSITIVE.total_cmp(&f128::MIN_POSITIVE));
+    assert_eq!(Ordering::Equal, 0.5_f128.total_cmp(&0.5));
+    assert_eq!(Ordering::Equal, 1.0_f128.total_cmp(&1.0));
+    assert_eq!(Ordering::Equal, 1.5_f128.total_cmp(&1.5));
+    assert_eq!(Ordering::Equal, 2.5_f128.total_cmp(&2.5));
+    assert_eq!(Ordering::Equal, f128::MAX.total_cmp(&f128::MAX));
+    assert_eq!(Ordering::Equal, f128::INFINITY.total_cmp(&f128::INFINITY));
+    assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan()));
+    assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan()));
+
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f128::INFINITY));
+    assert_eq!(Ordering::Less, (-f128::INFINITY).total_cmp(&-f128::MAX));
+    assert_eq!(Ordering::Less, (-f128::MAX).total_cmp(&-2.5));
+    assert_eq!(Ordering::Less, (-2.5_f128).total_cmp(&-1.5));
+    assert_eq!(Ordering::Less, (-1.5_f128).total_cmp(&-1.0));
+    assert_eq!(Ordering::Less, (-1.0_f128).total_cmp(&-0.5));
+    assert_eq!(Ordering::Less, (-0.5_f128).total_cmp(&-f128::MIN_POSITIVE));
+    // assert_eq!(Ordering::Less, (-f128::MIN_POSITIVE).total_cmp(&-max_subnorm()));
+    // assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm()));
+    // assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0));
+    assert_eq!(Ordering::Less, (-0.0_f128).total_cmp(&0.0));
+    // assert_eq!(Ordering::Less, 0.0_f128.total_cmp(&min_subnorm()));
+    // assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm()));
+    // assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f128::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, f128::MIN_POSITIVE.total_cmp(&0.5));
+    assert_eq!(Ordering::Less, 0.5_f128.total_cmp(&1.0));
+    assert_eq!(Ordering::Less, 1.0_f128.total_cmp(&1.5));
+    assert_eq!(Ordering::Less, 1.5_f128.total_cmp(&2.5));
+    assert_eq!(Ordering::Less, 2.5_f128.total_cmp(&f128::MAX));
+    assert_eq!(Ordering::Less, f128::MAX.total_cmp(&f128::INFINITY));
+    assert_eq!(Ordering::Less, f128::INFINITY.total_cmp(&s_nan()));
+    assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan()));
+
+    assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan()));
+    assert_eq!(Ordering::Greater, (-f128::INFINITY).total_cmp(&-s_nan()));
+    assert_eq!(Ordering::Greater, (-f128::MAX).total_cmp(&-f128::INFINITY));
+    assert_eq!(Ordering::Greater, (-2.5_f128).total_cmp(&-f128::MAX));
+    assert_eq!(Ordering::Greater, (-1.5_f128).total_cmp(&-2.5));
+    assert_eq!(Ordering::Greater, (-1.0_f128).total_cmp(&-1.5));
+    assert_eq!(Ordering::Greater, (-0.5_f128).total_cmp(&-1.0));
+    assert_eq!(Ordering::Greater, (-f128::MIN_POSITIVE).total_cmp(&-0.5));
+    // assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f128::MIN_POSITIVE));
+    // assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm()));
+    // assert_eq!(Ordering::Greater, (-0.0_f128).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Greater, 0.0_f128.total_cmp(&-0.0));
+    // assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0));
+    // assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm()));
+    // assert_eq!(Ordering::Greater, f128::MIN_POSITIVE.total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Greater, 0.5_f128.total_cmp(&f128::MIN_POSITIVE));
+    assert_eq!(Ordering::Greater, 1.0_f128.total_cmp(&0.5));
+    assert_eq!(Ordering::Greater, 1.5_f128.total_cmp(&1.0));
+    assert_eq!(Ordering::Greater, 2.5_f128.total_cmp(&1.5));
+    assert_eq!(Ordering::Greater, f128::MAX.total_cmp(&2.5));
+    assert_eq!(Ordering::Greater, f128::INFINITY.total_cmp(&f128::MAX));
+    assert_eq!(Ordering::Greater, s_nan().total_cmp(&f128::INFINITY));
+    assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan()));
+
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f128::INFINITY));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f128::MAX));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f128::MIN_POSITIVE));
+    // assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm()));
+    // assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0));
+    // assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm()));
+    // assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f128::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f128::MAX));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f128::INFINITY));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan()));
+
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f128::INFINITY));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f128::MAX));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f128::MIN_POSITIVE));
+    // assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm()));
+    // assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0));
+    // assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm()));
+    // assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f128::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f128::MAX));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f128::INFINITY));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan()));
+}
+
+#[test]
+fn test_algebraic() {
+    let a: f128 = 123.0;
+    let b: f128 = 456.0;
+
+    // Check that individual operations match their primitive counterparts.
+    //
+    // This is a check of current implementations and does NOT imply any form of
+    // guarantee about future behavior. The compiler reserves the right to make
+    // these operations inexact matches in the future.
+    let eps = if cfg!(miri) { 1e-6 } else { 0.0 };
+
+    assert_approx_eq!(a.algebraic_add(b), a + b, eps);
+    assert_approx_eq!(a.algebraic_sub(b), a - b, eps);
+    assert_approx_eq!(a.algebraic_mul(b), a * b, eps);
+    assert_approx_eq!(a.algebraic_div(b), a / b, eps);
+    assert_approx_eq!(a.algebraic_rem(b), a % b, eps);
+}
+
+#[test]
+fn test_from() {
+    assert_eq!(f128::from(false), 0.0);
+    assert_eq!(f128::from(true), 1.0);
+    assert_eq!(f128::from(u8::MIN), 0.0);
+    assert_eq!(f128::from(42_u8), 42.0);
+    assert_eq!(f128::from(u8::MAX), 255.0);
+    assert_eq!(f128::from(i8::MIN), -128.0);
+    assert_eq!(f128::from(42_i8), 42.0);
+    assert_eq!(f128::from(i8::MAX), 127.0);
+    assert_eq!(f128::from(u16::MIN), 0.0);
+    assert_eq!(f128::from(42_u16), 42.0);
+    assert_eq!(f128::from(u16::MAX), 65535.0);
+    assert_eq!(f128::from(i16::MIN), -32768.0);
+    assert_eq!(f128::from(42_i16), 42.0);
+    assert_eq!(f128::from(i16::MAX), 32767.0);
+    assert_eq!(f128::from(u32::MIN), 0.0);
+    assert_eq!(f128::from(42_u32), 42.0);
+    assert_eq!(f128::from(u32::MAX), 4294967295.0);
+    assert_eq!(f128::from(i32::MIN), -2147483648.0);
+    assert_eq!(f128::from(42_i32), 42.0);
+    assert_eq!(f128::from(i32::MAX), 2147483647.0);
+    // FIXME(f16_f128): Uncomment these tests once the From<{u64,i64}> impls are added.
+    // assert_eq!(f128::from(u64::MIN), 0.0);
+    // assert_eq!(f128::from(42_u64), 42.0);
+    // assert_eq!(f128::from(u64::MAX), 18446744073709551615.0);
+    // assert_eq!(f128::from(i64::MIN), -9223372036854775808.0);
+    // assert_eq!(f128::from(42_i64), 42.0);
+    // assert_eq!(f128::from(i64::MAX), 9223372036854775807.0);
+}
diff --git a/library/coretests/tests/floats/f16.rs b/library/coretests/tests/floats/f16.rs
new file mode 100644
index 00000000000..db98181226c
--- /dev/null
+++ b/library/coretests/tests/floats/f16.rs
@@ -0,0 +1,753 @@
+// FIXME(f16_f128): only tested on platforms that have symbols and aren't buggy
+#![cfg(target_has_reliable_f16)]
+
+use std::f16::consts;
+use std::num::FpCategory as Fp;
+
+/// Tolerance for results on the order of 10.0e-2
+#[allow(unused)]
+const TOL_N2: f16 = 0.0001;
+
+/// Tolerance for results on the order of 10.0e+0
+#[allow(unused)]
+const TOL_0: f16 = 0.01;
+
+/// Tolerance for results on the order of 10.0e+2
+#[allow(unused)]
+const TOL_P2: f16 = 0.5;
+
+/// Tolerance for results on the order of 10.0e+4
+#[allow(unused)]
+const TOL_P4: f16 = 10.0;
+
+/// Smallest number
+const TINY_BITS: u16 = 0x1;
+
+/// Next smallest number
+const TINY_UP_BITS: u16 = 0x2;
+
+/// Exponent = 0b11...10, Sifnificand 0b1111..10. Min val > 0
+const MAX_DOWN_BITS: u16 = 0x7bfe;
+
+/// Zeroed exponent, full significant
+const LARGEST_SUBNORMAL_BITS: u16 = 0x03ff;
+
+/// Exponent = 0b1, zeroed significand
+const SMALLEST_NORMAL_BITS: u16 = 0x0400;
+
+/// First pattern over the mantissa
+const NAN_MASK1: u16 = 0x02aa;
+
+/// Second pattern over the mantissa
+const NAN_MASK2: u16 = 0x0155;
+
+/// Compare by representation
+#[allow(unused_macros)]
+macro_rules! assert_f16_biteq {
+    ($a:expr, $b:expr) => {
+        let (l, r): (&f16, &f16) = (&$a, &$b);
+        let lb = l.to_bits();
+        let rb = r.to_bits();
+        assert_eq!(lb, rb, "float {l:?} ({lb:#04x}) is not bitequal to {r:?} ({rb:#04x})");
+    };
+}
+
+#[test]
+fn test_num_f16() {
+    super::test_num(10f16, 2f16);
+}
+
+// FIXME(f16_f128,miri): many of these have to be disabled since miri does not yet support
+// the intrinsics.
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f16_math)]
+fn test_min_nan() {
+    assert_eq!(f16::NAN.min(2.0), 2.0);
+    assert_eq!(2.0f16.min(f16::NAN), 2.0);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f16_math)]
+fn test_max_nan() {
+    assert_eq!(f16::NAN.max(2.0), 2.0);
+    assert_eq!(2.0f16.max(f16::NAN), 2.0);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f16_math)]
+fn test_minimum() {
+    assert!(f16::NAN.minimum(2.0).is_nan());
+    assert!(2.0f16.minimum(f16::NAN).is_nan());
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f16_math)]
+fn test_maximum() {
+    assert!(f16::NAN.maximum(2.0).is_nan());
+    assert!(2.0f16.maximum(f16::NAN).is_nan());
+}
+
+#[test]
+fn test_nan() {
+    let nan: f16 = f16::NAN;
+    assert!(nan.is_nan());
+    assert!(!nan.is_infinite());
+    assert!(!nan.is_finite());
+    assert!(nan.is_sign_positive());
+    assert!(!nan.is_sign_negative());
+    assert!(!nan.is_normal());
+    assert_eq!(Fp::Nan, nan.classify());
+    // Ensure the quiet bit is set.
+    assert!(nan.to_bits() & (1 << (f16::MANTISSA_DIGITS - 2)) != 0);
+}
+
+#[test]
+fn test_infinity() {
+    let inf: f16 = f16::INFINITY;
+    assert!(inf.is_infinite());
+    assert!(!inf.is_finite());
+    assert!(inf.is_sign_positive());
+    assert!(!inf.is_sign_negative());
+    assert!(!inf.is_nan());
+    assert!(!inf.is_normal());
+    assert_eq!(Fp::Infinite, inf.classify());
+}
+
+#[test]
+fn test_neg_infinity() {
+    let neg_inf: f16 = f16::NEG_INFINITY;
+    assert!(neg_inf.is_infinite());
+    assert!(!neg_inf.is_finite());
+    assert!(!neg_inf.is_sign_positive());
+    assert!(neg_inf.is_sign_negative());
+    assert!(!neg_inf.is_nan());
+    assert!(!neg_inf.is_normal());
+    assert_eq!(Fp::Infinite, neg_inf.classify());
+}
+
+#[test]
+fn test_zero() {
+    let zero: f16 = 0.0f16;
+    assert_eq!(0.0, zero);
+    assert!(!zero.is_infinite());
+    assert!(zero.is_finite());
+    assert!(zero.is_sign_positive());
+    assert!(!zero.is_sign_negative());
+    assert!(!zero.is_nan());
+    assert!(!zero.is_normal());
+    assert_eq!(Fp::Zero, zero.classify());
+}
+
+#[test]
+fn test_neg_zero() {
+    let neg_zero: f16 = -0.0;
+    assert_eq!(0.0, neg_zero);
+    assert!(!neg_zero.is_infinite());
+    assert!(neg_zero.is_finite());
+    assert!(!neg_zero.is_sign_positive());
+    assert!(neg_zero.is_sign_negative());
+    assert!(!neg_zero.is_nan());
+    assert!(!neg_zero.is_normal());
+    assert_eq!(Fp::Zero, neg_zero.classify());
+}
+
+#[test]
+fn test_one() {
+    let one: f16 = 1.0f16;
+    assert_eq!(1.0, one);
+    assert!(!one.is_infinite());
+    assert!(one.is_finite());
+    assert!(one.is_sign_positive());
+    assert!(!one.is_sign_negative());
+    assert!(!one.is_nan());
+    assert!(one.is_normal());
+    assert_eq!(Fp::Normal, one.classify());
+}
+
+#[test]
+fn test_is_nan() {
+    let nan: f16 = f16::NAN;
+    let inf: f16 = f16::INFINITY;
+    let neg_inf: f16 = f16::NEG_INFINITY;
+    assert!(nan.is_nan());
+    assert!(!0.0f16.is_nan());
+    assert!(!5.3f16.is_nan());
+    assert!(!(-10.732f16).is_nan());
+    assert!(!inf.is_nan());
+    assert!(!neg_inf.is_nan());
+}
+
+#[test]
+fn test_is_infinite() {
+    let nan: f16 = f16::NAN;
+    let inf: f16 = f16::INFINITY;
+    let neg_inf: f16 = f16::NEG_INFINITY;
+    assert!(!nan.is_infinite());
+    assert!(inf.is_infinite());
+    assert!(neg_inf.is_infinite());
+    assert!(!0.0f16.is_infinite());
+    assert!(!42.8f16.is_infinite());
+    assert!(!(-109.2f16).is_infinite());
+}
+
+#[test]
+fn test_is_finite() {
+    let nan: f16 = f16::NAN;
+    let inf: f16 = f16::INFINITY;
+    let neg_inf: f16 = f16::NEG_INFINITY;
+    assert!(!nan.is_finite());
+    assert!(!inf.is_finite());
+    assert!(!neg_inf.is_finite());
+    assert!(0.0f16.is_finite());
+    assert!(42.8f16.is_finite());
+    assert!((-109.2f16).is_finite());
+}
+
+#[test]
+fn test_is_normal() {
+    let nan: f16 = f16::NAN;
+    let inf: f16 = f16::INFINITY;
+    let neg_inf: f16 = f16::NEG_INFINITY;
+    let zero: f16 = 0.0f16;
+    let neg_zero: f16 = -0.0;
+    assert!(!nan.is_normal());
+    assert!(!inf.is_normal());
+    assert!(!neg_inf.is_normal());
+    assert!(!zero.is_normal());
+    assert!(!neg_zero.is_normal());
+    assert!(1f16.is_normal());
+    assert!(1e-4f16.is_normal());
+    assert!(!1e-5f16.is_normal());
+}
+
+#[test]
+fn test_classify() {
+    let nan: f16 = f16::NAN;
+    let inf: f16 = f16::INFINITY;
+    let neg_inf: f16 = f16::NEG_INFINITY;
+    let zero: f16 = 0.0f16;
+    let neg_zero: f16 = -0.0;
+    assert_eq!(nan.classify(), Fp::Nan);
+    assert_eq!(inf.classify(), Fp::Infinite);
+    assert_eq!(neg_inf.classify(), Fp::Infinite);
+    assert_eq!(zero.classify(), Fp::Zero);
+    assert_eq!(neg_zero.classify(), Fp::Zero);
+    assert_eq!(1f16.classify(), Fp::Normal);
+    assert_eq!(1e-4f16.classify(), Fp::Normal);
+    assert_eq!(1e-5f16.classify(), Fp::Subnormal);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f16_math)]
+fn test_floor() {
+    assert_approx_eq!(1.0f16.floor(), 1.0f16, TOL_0);
+    assert_approx_eq!(1.3f16.floor(), 1.0f16, TOL_0);
+    assert_approx_eq!(1.5f16.floor(), 1.0f16, TOL_0);
+    assert_approx_eq!(1.7f16.floor(), 1.0f16, TOL_0);
+    assert_approx_eq!(0.0f16.floor(), 0.0f16, TOL_0);
+    assert_approx_eq!((-0.0f16).floor(), -0.0f16, TOL_0);
+    assert_approx_eq!((-1.0f16).floor(), -1.0f16, TOL_0);
+    assert_approx_eq!((-1.3f16).floor(), -2.0f16, TOL_0);
+    assert_approx_eq!((-1.5f16).floor(), -2.0f16, TOL_0);
+    assert_approx_eq!((-1.7f16).floor(), -2.0f16, TOL_0);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f16_math)]
+fn test_ceil() {
+    assert_approx_eq!(1.0f16.ceil(), 1.0f16, TOL_0);
+    assert_approx_eq!(1.3f16.ceil(), 2.0f16, TOL_0);
+    assert_approx_eq!(1.5f16.ceil(), 2.0f16, TOL_0);
+    assert_approx_eq!(1.7f16.ceil(), 2.0f16, TOL_0);
+    assert_approx_eq!(0.0f16.ceil(), 0.0f16, TOL_0);
+    assert_approx_eq!((-0.0f16).ceil(), -0.0f16, TOL_0);
+    assert_approx_eq!((-1.0f16).ceil(), -1.0f16, TOL_0);
+    assert_approx_eq!((-1.3f16).ceil(), -1.0f16, TOL_0);
+    assert_approx_eq!((-1.5f16).ceil(), -1.0f16, TOL_0);
+    assert_approx_eq!((-1.7f16).ceil(), -1.0f16, TOL_0);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f16_math)]
+fn test_round() {
+    assert_approx_eq!(2.5f16.round(), 3.0f16, TOL_0);
+    assert_approx_eq!(1.0f16.round(), 1.0f16, TOL_0);
+    assert_approx_eq!(1.3f16.round(), 1.0f16, TOL_0);
+    assert_approx_eq!(1.5f16.round(), 2.0f16, TOL_0);
+    assert_approx_eq!(1.7f16.round(), 2.0f16, TOL_0);
+    assert_approx_eq!(0.0f16.round(), 0.0f16, TOL_0);
+    assert_approx_eq!((-0.0f16).round(), -0.0f16, TOL_0);
+    assert_approx_eq!((-1.0f16).round(), -1.0f16, TOL_0);
+    assert_approx_eq!((-1.3f16).round(), -1.0f16, TOL_0);
+    assert_approx_eq!((-1.5f16).round(), -2.0f16, TOL_0);
+    assert_approx_eq!((-1.7f16).round(), -2.0f16, TOL_0);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f16_math)]
+fn test_round_ties_even() {
+    assert_approx_eq!(2.5f16.round_ties_even(), 2.0f16, TOL_0);
+    assert_approx_eq!(1.0f16.round_ties_even(), 1.0f16, TOL_0);
+    assert_approx_eq!(1.3f16.round_ties_even(), 1.0f16, TOL_0);
+    assert_approx_eq!(1.5f16.round_ties_even(), 2.0f16, TOL_0);
+    assert_approx_eq!(1.7f16.round_ties_even(), 2.0f16, TOL_0);
+    assert_approx_eq!(0.0f16.round_ties_even(), 0.0f16, TOL_0);
+    assert_approx_eq!((-0.0f16).round_ties_even(), -0.0f16, TOL_0);
+    assert_approx_eq!((-1.0f16).round_ties_even(), -1.0f16, TOL_0);
+    assert_approx_eq!((-1.3f16).round_ties_even(), -1.0f16, TOL_0);
+    assert_approx_eq!((-1.5f16).round_ties_even(), -2.0f16, TOL_0);
+    assert_approx_eq!((-1.7f16).round_ties_even(), -2.0f16, TOL_0);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f16_math)]
+fn test_trunc() {
+    assert_approx_eq!(1.0f16.trunc(), 1.0f16, TOL_0);
+    assert_approx_eq!(1.3f16.trunc(), 1.0f16, TOL_0);
+    assert_approx_eq!(1.5f16.trunc(), 1.0f16, TOL_0);
+    assert_approx_eq!(1.7f16.trunc(), 1.0f16, TOL_0);
+    assert_approx_eq!(0.0f16.trunc(), 0.0f16, TOL_0);
+    assert_approx_eq!((-0.0f16).trunc(), -0.0f16, TOL_0);
+    assert_approx_eq!((-1.0f16).trunc(), -1.0f16, TOL_0);
+    assert_approx_eq!((-1.3f16).trunc(), -1.0f16, TOL_0);
+    assert_approx_eq!((-1.5f16).trunc(), -1.0f16, TOL_0);
+    assert_approx_eq!((-1.7f16).trunc(), -1.0f16, TOL_0);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f16_math)]
+fn test_fract() {
+    assert_approx_eq!(1.0f16.fract(), 0.0f16, TOL_0);
+    assert_approx_eq!(1.3f16.fract(), 0.3f16, TOL_0);
+    assert_approx_eq!(1.5f16.fract(), 0.5f16, TOL_0);
+    assert_approx_eq!(1.7f16.fract(), 0.7f16, TOL_0);
+    assert_approx_eq!(0.0f16.fract(), 0.0f16, TOL_0);
+    assert_approx_eq!((-0.0f16).fract(), -0.0f16, TOL_0);
+    assert_approx_eq!((-1.0f16).fract(), -0.0f16, TOL_0);
+    assert_approx_eq!((-1.3f16).fract(), -0.3f16, TOL_0);
+    assert_approx_eq!((-1.5f16).fract(), -0.5f16, TOL_0);
+    assert_approx_eq!((-1.7f16).fract(), -0.7f16, TOL_0);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f16_math)]
+fn test_abs() {
+    assert_eq!(f16::INFINITY.abs(), f16::INFINITY);
+    assert_eq!(1f16.abs(), 1f16);
+    assert_eq!(0f16.abs(), 0f16);
+    assert_eq!((-0f16).abs(), 0f16);
+    assert_eq!((-1f16).abs(), 1f16);
+    assert_eq!(f16::NEG_INFINITY.abs(), f16::INFINITY);
+    assert_eq!((1f16 / f16::NEG_INFINITY).abs(), 0f16);
+    assert!(f16::NAN.abs().is_nan());
+}
+
+#[test]
+fn test_is_sign_positive() {
+    assert!(f16::INFINITY.is_sign_positive());
+    assert!(1f16.is_sign_positive());
+    assert!(0f16.is_sign_positive());
+    assert!(!(-0f16).is_sign_positive());
+    assert!(!(-1f16).is_sign_positive());
+    assert!(!f16::NEG_INFINITY.is_sign_positive());
+    assert!(!(1f16 / f16::NEG_INFINITY).is_sign_positive());
+    assert!(f16::NAN.is_sign_positive());
+    assert!(!(-f16::NAN).is_sign_positive());
+}
+
+#[test]
+fn test_is_sign_negative() {
+    assert!(!f16::INFINITY.is_sign_negative());
+    assert!(!1f16.is_sign_negative());
+    assert!(!0f16.is_sign_negative());
+    assert!((-0f16).is_sign_negative());
+    assert!((-1f16).is_sign_negative());
+    assert!(f16::NEG_INFINITY.is_sign_negative());
+    assert!((1f16 / f16::NEG_INFINITY).is_sign_negative());
+    assert!(!f16::NAN.is_sign_negative());
+    assert!((-f16::NAN).is_sign_negative());
+}
+
+#[test]
+fn test_next_up() {
+    let tiny = f16::from_bits(TINY_BITS);
+    let tiny_up = f16::from_bits(TINY_UP_BITS);
+    let max_down = f16::from_bits(MAX_DOWN_BITS);
+    let largest_subnormal = f16::from_bits(LARGEST_SUBNORMAL_BITS);
+    let smallest_normal = f16::from_bits(SMALLEST_NORMAL_BITS);
+    assert_f16_biteq!(f16::NEG_INFINITY.next_up(), f16::MIN);
+    assert_f16_biteq!(f16::MIN.next_up(), -max_down);
+    assert_f16_biteq!((-1.0 - f16::EPSILON).next_up(), -1.0);
+    assert_f16_biteq!((-smallest_normal).next_up(), -largest_subnormal);
+    assert_f16_biteq!((-tiny_up).next_up(), -tiny);
+    assert_f16_biteq!((-tiny).next_up(), -0.0f16);
+    assert_f16_biteq!((-0.0f16).next_up(), tiny);
+    assert_f16_biteq!(0.0f16.next_up(), tiny);
+    assert_f16_biteq!(tiny.next_up(), tiny_up);
+    assert_f16_biteq!(largest_subnormal.next_up(), smallest_normal);
+    assert_f16_biteq!(1.0f16.next_up(), 1.0 + f16::EPSILON);
+    assert_f16_biteq!(f16::MAX.next_up(), f16::INFINITY);
+    assert_f16_biteq!(f16::INFINITY.next_up(), f16::INFINITY);
+
+    // Check that NaNs roundtrip.
+    let nan0 = f16::NAN;
+    let nan1 = f16::from_bits(f16::NAN.to_bits() ^ NAN_MASK1);
+    let nan2 = f16::from_bits(f16::NAN.to_bits() ^ NAN_MASK2);
+    assert_f16_biteq!(nan0.next_up(), nan0);
+    assert_f16_biteq!(nan1.next_up(), nan1);
+    assert_f16_biteq!(nan2.next_up(), nan2);
+}
+
+#[test]
+fn test_next_down() {
+    let tiny = f16::from_bits(TINY_BITS);
+    let tiny_up = f16::from_bits(TINY_UP_BITS);
+    let max_down = f16::from_bits(MAX_DOWN_BITS);
+    let largest_subnormal = f16::from_bits(LARGEST_SUBNORMAL_BITS);
+    let smallest_normal = f16::from_bits(SMALLEST_NORMAL_BITS);
+    assert_f16_biteq!(f16::NEG_INFINITY.next_down(), f16::NEG_INFINITY);
+    assert_f16_biteq!(f16::MIN.next_down(), f16::NEG_INFINITY);
+    assert_f16_biteq!((-max_down).next_down(), f16::MIN);
+    assert_f16_biteq!((-1.0f16).next_down(), -1.0 - f16::EPSILON);
+    assert_f16_biteq!((-largest_subnormal).next_down(), -smallest_normal);
+    assert_f16_biteq!((-tiny).next_down(), -tiny_up);
+    assert_f16_biteq!((-0.0f16).next_down(), -tiny);
+    assert_f16_biteq!((0.0f16).next_down(), -tiny);
+    assert_f16_biteq!(tiny.next_down(), 0.0f16);
+    assert_f16_biteq!(tiny_up.next_down(), tiny);
+    assert_f16_biteq!(smallest_normal.next_down(), largest_subnormal);
+    assert_f16_biteq!((1.0 + f16::EPSILON).next_down(), 1.0f16);
+    assert_f16_biteq!(f16::MAX.next_down(), max_down);
+    assert_f16_biteq!(f16::INFINITY.next_down(), f16::MAX);
+
+    // Check that NaNs roundtrip.
+    let nan0 = f16::NAN;
+    let nan1 = f16::from_bits(f16::NAN.to_bits() ^ NAN_MASK1);
+    let nan2 = f16::from_bits(f16::NAN.to_bits() ^ NAN_MASK2);
+    assert_f16_biteq!(nan0.next_down(), nan0);
+    assert_f16_biteq!(nan1.next_down(), nan1);
+    assert_f16_biteq!(nan2.next_down(), nan2);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f16_math)]
+fn test_mul_add() {
+    let nan: f16 = f16::NAN;
+    let inf: f16 = f16::INFINITY;
+    let neg_inf: f16 = f16::NEG_INFINITY;
+    assert_approx_eq!(12.3f16.mul_add(4.5, 6.7), 62.05, TOL_P2);
+    assert_approx_eq!((-12.3f16).mul_add(-4.5, -6.7), 48.65, TOL_P2);
+    assert_approx_eq!(0.0f16.mul_add(8.9, 1.2), 1.2, TOL_0);
+    assert_approx_eq!(3.4f16.mul_add(-0.0, 5.6), 5.6, TOL_0);
+    assert!(nan.mul_add(7.8, 9.0).is_nan());
+    assert_eq!(inf.mul_add(7.8, 9.0), inf);
+    assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf);
+    assert_eq!(8.9f16.mul_add(inf, 3.2), inf);
+    assert_eq!((-3.2f16).mul_add(2.4, neg_inf), neg_inf);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f16_math)]
+fn test_recip() {
+    let nan: f16 = f16::NAN;
+    let inf: f16 = f16::INFINITY;
+    let neg_inf: f16 = f16::NEG_INFINITY;
+    assert_eq!(1.0f16.recip(), 1.0);
+    assert_eq!(2.0f16.recip(), 0.5);
+    assert_eq!((-0.4f16).recip(), -2.5);
+    assert_eq!(0.0f16.recip(), inf);
+    assert_approx_eq!(f16::MAX.recip(), 1.526624e-5f16, 1e-4);
+    assert!(nan.recip().is_nan());
+    assert_eq!(inf.recip(), 0.0);
+    assert_eq!(neg_inf.recip(), 0.0);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f16_math)]
+fn test_powi() {
+    let nan: f16 = f16::NAN;
+    let inf: f16 = f16::INFINITY;
+    let neg_inf: f16 = f16::NEG_INFINITY;
+    assert_eq!(1.0f16.powi(1), 1.0);
+    assert_approx_eq!((-3.1f16).powi(2), 9.61, TOL_0);
+    assert_approx_eq!(5.9f16.powi(-2), 0.028727, TOL_N2);
+    assert_eq!(8.3f16.powi(0), 1.0);
+    assert!(nan.powi(2).is_nan());
+    assert_eq!(inf.powi(3), inf);
+    assert_eq!(neg_inf.powi(2), inf);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f16_math)]
+fn test_sqrt_domain() {
+    assert!(f16::NAN.sqrt().is_nan());
+    assert!(f16::NEG_INFINITY.sqrt().is_nan());
+    assert!((-1.0f16).sqrt().is_nan());
+    assert_eq!((-0.0f16).sqrt(), -0.0);
+    assert_eq!(0.0f16.sqrt(), 0.0);
+    assert_eq!(1.0f16.sqrt(), 1.0);
+    assert_eq!(f16::INFINITY.sqrt(), f16::INFINITY);
+}
+
+#[test]
+fn test_to_degrees() {
+    let pi: f16 = consts::PI;
+    let nan: f16 = f16::NAN;
+    let inf: f16 = f16::INFINITY;
+    let neg_inf: f16 = f16::NEG_INFINITY;
+    assert_eq!(0.0f16.to_degrees(), 0.0);
+    assert_approx_eq!((-5.8f16).to_degrees(), -332.315521, TOL_P2);
+    assert_approx_eq!(pi.to_degrees(), 180.0, TOL_P2);
+    assert!(nan.to_degrees().is_nan());
+    assert_eq!(inf.to_degrees(), inf);
+    assert_eq!(neg_inf.to_degrees(), neg_inf);
+    assert_eq!(1_f16.to_degrees(), 57.2957795130823208767981548141051703);
+}
+
+#[test]
+fn test_to_radians() {
+    let pi: f16 = consts::PI;
+    let nan: f16 = f16::NAN;
+    let inf: f16 = f16::INFINITY;
+    let neg_inf: f16 = f16::NEG_INFINITY;
+    assert_eq!(0.0f16.to_radians(), 0.0);
+    assert_approx_eq!(154.6f16.to_radians(), 2.698279, TOL_0);
+    assert_approx_eq!((-332.31f16).to_radians(), -5.799903, TOL_0);
+    assert_approx_eq!(180.0f16.to_radians(), pi, TOL_0);
+    assert!(nan.to_radians().is_nan());
+    assert_eq!(inf.to_radians(), inf);
+    assert_eq!(neg_inf.to_radians(), neg_inf);
+}
+
+#[test]
+fn test_float_bits_conv() {
+    assert_eq!((1f16).to_bits(), 0x3c00);
+    assert_eq!((12.5f16).to_bits(), 0x4a40);
+    assert_eq!((1337f16).to_bits(), 0x6539);
+    assert_eq!((-14.25f16).to_bits(), 0xcb20);
+    assert_approx_eq!(f16::from_bits(0x3c00), 1.0, TOL_0);
+    assert_approx_eq!(f16::from_bits(0x4a40), 12.5, TOL_0);
+    assert_approx_eq!(f16::from_bits(0x6539), 1337.0, TOL_P4);
+    assert_approx_eq!(f16::from_bits(0xcb20), -14.25, TOL_0);
+
+    // Check that NaNs roundtrip their bits regardless of signaling-ness
+    let masked_nan1 = f16::NAN.to_bits() ^ NAN_MASK1;
+    let masked_nan2 = f16::NAN.to_bits() ^ NAN_MASK2;
+    assert!(f16::from_bits(masked_nan1).is_nan());
+    assert!(f16::from_bits(masked_nan2).is_nan());
+
+    assert_eq!(f16::from_bits(masked_nan1).to_bits(), masked_nan1);
+    assert_eq!(f16::from_bits(masked_nan2).to_bits(), masked_nan2);
+}
+
+#[test]
+#[should_panic]
+fn test_clamp_min_greater_than_max() {
+    let _ = 1.0f16.clamp(3.0, 1.0);
+}
+
+#[test]
+#[should_panic]
+fn test_clamp_min_is_nan() {
+    let _ = 1.0f16.clamp(f16::NAN, 1.0);
+}
+
+#[test]
+#[should_panic]
+fn test_clamp_max_is_nan() {
+    let _ = 1.0f16.clamp(3.0, f16::NAN);
+}
+
+#[test]
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f16_math)]
+fn test_total_cmp() {
+    use core::cmp::Ordering;
+
+    fn quiet_bit_mask() -> u16 {
+        1 << (f16::MANTISSA_DIGITS - 2)
+    }
+
+    fn min_subnorm() -> f16 {
+        f16::MIN_POSITIVE / f16::powf(2.0, f16::MANTISSA_DIGITS as f16 - 1.0)
+    }
+
+    fn max_subnorm() -> f16 {
+        f16::MIN_POSITIVE - min_subnorm()
+    }
+
+    fn q_nan() -> f16 {
+        f16::from_bits(f16::NAN.to_bits() | quiet_bit_mask())
+    }
+
+    fn s_nan() -> f16 {
+        f16::from_bits((f16::NAN.to_bits() & !quiet_bit_mask()) + 42)
+    }
+
+    assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan()));
+    assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan()));
+    assert_eq!(Ordering::Equal, (-f16::INFINITY).total_cmp(&-f16::INFINITY));
+    assert_eq!(Ordering::Equal, (-f16::MAX).total_cmp(&-f16::MAX));
+    assert_eq!(Ordering::Equal, (-2.5_f16).total_cmp(&-2.5));
+    assert_eq!(Ordering::Equal, (-1.0_f16).total_cmp(&-1.0));
+    assert_eq!(Ordering::Equal, (-1.5_f16).total_cmp(&-1.5));
+    assert_eq!(Ordering::Equal, (-0.5_f16).total_cmp(&-0.5));
+    assert_eq!(Ordering::Equal, (-f16::MIN_POSITIVE).total_cmp(&-f16::MIN_POSITIVE));
+    assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm()));
+    assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Equal, (-0.0_f16).total_cmp(&-0.0));
+    assert_eq!(Ordering::Equal, 0.0_f16.total_cmp(&0.0));
+    assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm()));
+    assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Equal, f16::MIN_POSITIVE.total_cmp(&f16::MIN_POSITIVE));
+    assert_eq!(Ordering::Equal, 0.5_f16.total_cmp(&0.5));
+    assert_eq!(Ordering::Equal, 1.0_f16.total_cmp(&1.0));
+    assert_eq!(Ordering::Equal, 1.5_f16.total_cmp(&1.5));
+    assert_eq!(Ordering::Equal, 2.5_f16.total_cmp(&2.5));
+    assert_eq!(Ordering::Equal, f16::MAX.total_cmp(&f16::MAX));
+    assert_eq!(Ordering::Equal, f16::INFINITY.total_cmp(&f16::INFINITY));
+    assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan()));
+    assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan()));
+
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f16::INFINITY));
+    assert_eq!(Ordering::Less, (-f16::INFINITY).total_cmp(&-f16::MAX));
+    assert_eq!(Ordering::Less, (-f16::MAX).total_cmp(&-2.5));
+    assert_eq!(Ordering::Less, (-2.5_f16).total_cmp(&-1.5));
+    assert_eq!(Ordering::Less, (-1.5_f16).total_cmp(&-1.0));
+    assert_eq!(Ordering::Less, (-1.0_f16).total_cmp(&-0.5));
+    assert_eq!(Ordering::Less, (-0.5_f16).total_cmp(&-f16::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-f16::MIN_POSITIVE).total_cmp(&-max_subnorm()));
+    assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0));
+    assert_eq!(Ordering::Less, (-0.0_f16).total_cmp(&0.0));
+    assert_eq!(Ordering::Less, 0.0_f16.total_cmp(&min_subnorm()));
+    assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f16::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, f16::MIN_POSITIVE.total_cmp(&0.5));
+    assert_eq!(Ordering::Less, 0.5_f16.total_cmp(&1.0));
+    assert_eq!(Ordering::Less, 1.0_f16.total_cmp(&1.5));
+    assert_eq!(Ordering::Less, 1.5_f16.total_cmp(&2.5));
+    assert_eq!(Ordering::Less, 2.5_f16.total_cmp(&f16::MAX));
+    assert_eq!(Ordering::Less, f16::MAX.total_cmp(&f16::INFINITY));
+    assert_eq!(Ordering::Less, f16::INFINITY.total_cmp(&s_nan()));
+    assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan()));
+
+    assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan()));
+    assert_eq!(Ordering::Greater, (-f16::INFINITY).total_cmp(&-s_nan()));
+    assert_eq!(Ordering::Greater, (-f16::MAX).total_cmp(&-f16::INFINITY));
+    assert_eq!(Ordering::Greater, (-2.5_f16).total_cmp(&-f16::MAX));
+    assert_eq!(Ordering::Greater, (-1.5_f16).total_cmp(&-2.5));
+    assert_eq!(Ordering::Greater, (-1.0_f16).total_cmp(&-1.5));
+    assert_eq!(Ordering::Greater, (-0.5_f16).total_cmp(&-1.0));
+    assert_eq!(Ordering::Greater, (-f16::MIN_POSITIVE).total_cmp(&-0.5));
+    assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f16::MIN_POSITIVE));
+    assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm()));
+    assert_eq!(Ordering::Greater, (-0.0_f16).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Greater, 0.0_f16.total_cmp(&-0.0));
+    assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0));
+    assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm()));
+    assert_eq!(Ordering::Greater, f16::MIN_POSITIVE.total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Greater, 0.5_f16.total_cmp(&f16::MIN_POSITIVE));
+    assert_eq!(Ordering::Greater, 1.0_f16.total_cmp(&0.5));
+    assert_eq!(Ordering::Greater, 1.5_f16.total_cmp(&1.0));
+    assert_eq!(Ordering::Greater, 2.5_f16.total_cmp(&1.5));
+    assert_eq!(Ordering::Greater, f16::MAX.total_cmp(&2.5));
+    assert_eq!(Ordering::Greater, f16::INFINITY.total_cmp(&f16::MAX));
+    assert_eq!(Ordering::Greater, s_nan().total_cmp(&f16::INFINITY));
+    assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan()));
+
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f16::INFINITY));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f16::MAX));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f16::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f16::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f16::MAX));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f16::INFINITY));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan()));
+
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f16::INFINITY));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f16::MAX));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f16::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f16::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f16::MAX));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f16::INFINITY));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan()));
+}
+
+#[test]
+fn test_algebraic() {
+    let a: f16 = 123.0;
+    let b: f16 = 456.0;
+
+    // Check that individual operations match their primitive counterparts.
+    //
+    // This is a check of current implementations and does NOT imply any form of
+    // guarantee about future behavior. The compiler reserves the right to make
+    // these operations inexact matches in the future.
+    let eps_add = if cfg!(miri) { 1e1 } else { 0.0 };
+    let eps_mul = if cfg!(miri) { 1e3 } else { 0.0 };
+    let eps_div = if cfg!(miri) { 1e0 } else { 0.0 };
+
+    assert_approx_eq!(a.algebraic_add(b), a + b, eps_add);
+    assert_approx_eq!(a.algebraic_sub(b), a - b, eps_add);
+    assert_approx_eq!(a.algebraic_mul(b), a * b, eps_mul);
+    assert_approx_eq!(a.algebraic_div(b), a / b, eps_div);
+    assert_approx_eq!(a.algebraic_rem(b), a % b, eps_div);
+}
+
+#[test]
+fn test_from() {
+    assert_eq!(f16::from(false), 0.0);
+    assert_eq!(f16::from(true), 1.0);
+    assert_eq!(f16::from(u8::MIN), 0.0);
+    assert_eq!(f16::from(42_u8), 42.0);
+    assert_eq!(f16::from(u8::MAX), 255.0);
+    assert_eq!(f16::from(i8::MIN), -128.0);
+    assert_eq!(f16::from(42_i8), 42.0);
+    assert_eq!(f16::from(i8::MAX), 127.0);
+}
diff --git a/library/coretests/tests/floats/f32.rs b/library/coretests/tests/floats/f32.rs
new file mode 100644
index 00000000000..9b551643bae
--- /dev/null
+++ b/library/coretests/tests/floats/f32.rs
@@ -0,0 +1,702 @@
+use core::f32;
+use core::f32::consts;
+use core::num::FpCategory as Fp;
+
+/// Smallest number
+const TINY_BITS: u32 = 0x1;
+
+/// Next smallest number
+const TINY_UP_BITS: u32 = 0x2;
+
+/// Exponent = 0b11...10, Sifnificand 0b1111..10. Min val > 0
+const MAX_DOWN_BITS: u32 = 0x7f7f_fffe;
+
+/// Zeroed exponent, full significant
+const LARGEST_SUBNORMAL_BITS: u32 = 0x007f_ffff;
+
+/// Exponent = 0b1, zeroed significand
+const SMALLEST_NORMAL_BITS: u32 = 0x0080_0000;
+
+/// First pattern over the mantissa
+const NAN_MASK1: u32 = 0x002a_aaaa;
+
+/// Second pattern over the mantissa
+const NAN_MASK2: u32 = 0x0055_5555;
+
+#[allow(unused_macros)]
+macro_rules! assert_f32_biteq {
+    ($left : expr, $right : expr) => {
+        let l: &f32 = &$left;
+        let r: &f32 = &$right;
+        let lb = l.to_bits();
+        let rb = r.to_bits();
+        assert_eq!(lb, rb, "float {l} ({lb:#010x}) is not bitequal to {r} ({rb:#010x})");
+    };
+}
+
+#[test]
+fn test_num_f32() {
+    super::test_num(10f32, 2f32);
+}
+
+#[test]
+fn test_min_nan() {
+    assert_eq!(f32::NAN.min(2.0), 2.0);
+    assert_eq!(2.0f32.min(f32::NAN), 2.0);
+}
+
+#[test]
+fn test_max_nan() {
+    assert_eq!(f32::NAN.max(2.0), 2.0);
+    assert_eq!(2.0f32.max(f32::NAN), 2.0);
+}
+
+#[test]
+fn test_minimum() {
+    assert!(f32::NAN.minimum(2.0).is_nan());
+    assert!(2.0f32.minimum(f32::NAN).is_nan());
+}
+
+#[test]
+fn test_maximum() {
+    assert!(f32::NAN.maximum(2.0).is_nan());
+    assert!(2.0f32.maximum(f32::NAN).is_nan());
+}
+
+#[test]
+fn test_nan() {
+    let nan: f32 = f32::NAN;
+    assert!(nan.is_nan());
+    assert!(!nan.is_infinite());
+    assert!(!nan.is_finite());
+    assert!(!nan.is_normal());
+    assert!(nan.is_sign_positive());
+    assert!(!nan.is_sign_negative());
+    assert_eq!(Fp::Nan, nan.classify());
+    // Ensure the quiet bit is set.
+    assert!(nan.to_bits() & (1 << (f32::MANTISSA_DIGITS - 2)) != 0);
+}
+
+#[test]
+fn test_infinity() {
+    let inf: f32 = f32::INFINITY;
+    assert!(inf.is_infinite());
+    assert!(!inf.is_finite());
+    assert!(inf.is_sign_positive());
+    assert!(!inf.is_sign_negative());
+    assert!(!inf.is_nan());
+    assert!(!inf.is_normal());
+    assert_eq!(Fp::Infinite, inf.classify());
+}
+
+#[test]
+fn test_neg_infinity() {
+    let neg_inf: f32 = f32::NEG_INFINITY;
+    assert!(neg_inf.is_infinite());
+    assert!(!neg_inf.is_finite());
+    assert!(!neg_inf.is_sign_positive());
+    assert!(neg_inf.is_sign_negative());
+    assert!(!neg_inf.is_nan());
+    assert!(!neg_inf.is_normal());
+    assert_eq!(Fp::Infinite, neg_inf.classify());
+}
+
+#[test]
+fn test_zero() {
+    let zero: f32 = 0.0f32;
+    assert_eq!(0.0, zero);
+    assert!(!zero.is_infinite());
+    assert!(zero.is_finite());
+    assert!(zero.is_sign_positive());
+    assert!(!zero.is_sign_negative());
+    assert!(!zero.is_nan());
+    assert!(!zero.is_normal());
+    assert_eq!(Fp::Zero, zero.classify());
+}
+
+#[test]
+fn test_neg_zero() {
+    let neg_zero: f32 = -0.0;
+    assert_eq!(0.0, neg_zero);
+    assert!(!neg_zero.is_infinite());
+    assert!(neg_zero.is_finite());
+    assert!(!neg_zero.is_sign_positive());
+    assert!(neg_zero.is_sign_negative());
+    assert!(!neg_zero.is_nan());
+    assert!(!neg_zero.is_normal());
+    assert_eq!(Fp::Zero, neg_zero.classify());
+}
+
+#[test]
+fn test_one() {
+    let one: f32 = 1.0f32;
+    assert_eq!(1.0, one);
+    assert!(!one.is_infinite());
+    assert!(one.is_finite());
+    assert!(one.is_sign_positive());
+    assert!(!one.is_sign_negative());
+    assert!(!one.is_nan());
+    assert!(one.is_normal());
+    assert_eq!(Fp::Normal, one.classify());
+}
+
+#[test]
+fn test_is_nan() {
+    let nan: f32 = f32::NAN;
+    let inf: f32 = f32::INFINITY;
+    let neg_inf: f32 = f32::NEG_INFINITY;
+    assert!(nan.is_nan());
+    assert!(!0.0f32.is_nan());
+    assert!(!5.3f32.is_nan());
+    assert!(!(-10.732f32).is_nan());
+    assert!(!inf.is_nan());
+    assert!(!neg_inf.is_nan());
+}
+
+#[test]
+fn test_is_infinite() {
+    let nan: f32 = f32::NAN;
+    let inf: f32 = f32::INFINITY;
+    let neg_inf: f32 = f32::NEG_INFINITY;
+    assert!(!nan.is_infinite());
+    assert!(inf.is_infinite());
+    assert!(neg_inf.is_infinite());
+    assert!(!0.0f32.is_infinite());
+    assert!(!42.8f32.is_infinite());
+    assert!(!(-109.2f32).is_infinite());
+}
+
+#[test]
+fn test_is_finite() {
+    let nan: f32 = f32::NAN;
+    let inf: f32 = f32::INFINITY;
+    let neg_inf: f32 = f32::NEG_INFINITY;
+    assert!(!nan.is_finite());
+    assert!(!inf.is_finite());
+    assert!(!neg_inf.is_finite());
+    assert!(0.0f32.is_finite());
+    assert!(42.8f32.is_finite());
+    assert!((-109.2f32).is_finite());
+}
+
+#[test]
+fn test_is_normal() {
+    let nan: f32 = f32::NAN;
+    let inf: f32 = f32::INFINITY;
+    let neg_inf: f32 = f32::NEG_INFINITY;
+    let zero: f32 = 0.0f32;
+    let neg_zero: f32 = -0.0;
+    assert!(!nan.is_normal());
+    assert!(!inf.is_normal());
+    assert!(!neg_inf.is_normal());
+    assert!(!zero.is_normal());
+    assert!(!neg_zero.is_normal());
+    assert!(1f32.is_normal());
+    assert!(1e-37f32.is_normal());
+    assert!(!1e-38f32.is_normal());
+}
+
+#[test]
+fn test_classify() {
+    let nan: f32 = f32::NAN;
+    let inf: f32 = f32::INFINITY;
+    let neg_inf: f32 = f32::NEG_INFINITY;
+    let zero: f32 = 0.0f32;
+    let neg_zero: f32 = -0.0;
+    assert_eq!(nan.classify(), Fp::Nan);
+    assert_eq!(inf.classify(), Fp::Infinite);
+    assert_eq!(neg_inf.classify(), Fp::Infinite);
+    assert_eq!(zero.classify(), Fp::Zero);
+    assert_eq!(neg_zero.classify(), Fp::Zero);
+    assert_eq!(1f32.classify(), Fp::Normal);
+    assert_eq!(1e-37f32.classify(), Fp::Normal);
+    assert_eq!(1e-38f32.classify(), Fp::Subnormal);
+}
+
+#[test]
+fn test_floor() {
+    assert_approx_eq!(f32::floor(1.0f32), 1.0f32);
+    assert_approx_eq!(f32::floor(1.3f32), 1.0f32);
+    assert_approx_eq!(f32::floor(1.5f32), 1.0f32);
+    assert_approx_eq!(f32::floor(1.7f32), 1.0f32);
+    assert_approx_eq!(f32::floor(0.0f32), 0.0f32);
+    assert_approx_eq!(f32::floor(-0.0f32), -0.0f32);
+    assert_approx_eq!(f32::floor(-1.0f32), -1.0f32);
+    assert_approx_eq!(f32::floor(-1.3f32), -2.0f32);
+    assert_approx_eq!(f32::floor(-1.5f32), -2.0f32);
+    assert_approx_eq!(f32::floor(-1.7f32), -2.0f32);
+}
+
+#[test]
+fn test_ceil() {
+    assert_approx_eq!(f32::ceil(1.0f32), 1.0f32);
+    assert_approx_eq!(f32::ceil(1.3f32), 2.0f32);
+    assert_approx_eq!(f32::ceil(1.5f32), 2.0f32);
+    assert_approx_eq!(f32::ceil(1.7f32), 2.0f32);
+    assert_approx_eq!(f32::ceil(0.0f32), 0.0f32);
+    assert_approx_eq!(f32::ceil(-0.0f32), -0.0f32);
+    assert_approx_eq!(f32::ceil(-1.0f32), -1.0f32);
+    assert_approx_eq!(f32::ceil(-1.3f32), -1.0f32);
+    assert_approx_eq!(f32::ceil(-1.5f32), -1.0f32);
+    assert_approx_eq!(f32::ceil(-1.7f32), -1.0f32);
+}
+
+#[test]
+fn test_round() {
+    assert_approx_eq!(f32::round(2.5f32), 3.0f32);
+    assert_approx_eq!(f32::round(1.0f32), 1.0f32);
+    assert_approx_eq!(f32::round(1.3f32), 1.0f32);
+    assert_approx_eq!(f32::round(1.5f32), 2.0f32);
+    assert_approx_eq!(f32::round(1.7f32), 2.0f32);
+    assert_approx_eq!(f32::round(0.0f32), 0.0f32);
+    assert_approx_eq!(f32::round(-0.0f32), -0.0f32);
+    assert_approx_eq!(f32::round(-1.0f32), -1.0f32);
+    assert_approx_eq!(f32::round(-1.3f32), -1.0f32);
+    assert_approx_eq!(f32::round(-1.5f32), -2.0f32);
+    assert_approx_eq!(f32::round(-1.7f32), -2.0f32);
+}
+
+#[test]
+fn test_round_ties_even() {
+    assert_approx_eq!(f32::round_ties_even(2.5f32), 2.0f32);
+    assert_approx_eq!(f32::round_ties_even(1.0f32), 1.0f32);
+    assert_approx_eq!(f32::round_ties_even(1.3f32), 1.0f32);
+    assert_approx_eq!(f32::round_ties_even(1.5f32), 2.0f32);
+    assert_approx_eq!(f32::round_ties_even(1.7f32), 2.0f32);
+    assert_approx_eq!(f32::round_ties_even(0.0f32), 0.0f32);
+    assert_approx_eq!(f32::round_ties_even(-0.0f32), -0.0f32);
+    assert_approx_eq!(f32::round_ties_even(-1.0f32), -1.0f32);
+    assert_approx_eq!(f32::round_ties_even(-1.3f32), -1.0f32);
+    assert_approx_eq!(f32::round_ties_even(-1.5f32), -2.0f32);
+    assert_approx_eq!(f32::round_ties_even(-1.7f32), -2.0f32);
+}
+
+#[test]
+fn test_trunc() {
+    assert_approx_eq!(f32::trunc(1.0f32), 1.0f32);
+    assert_approx_eq!(f32::trunc(1.3f32), 1.0f32);
+    assert_approx_eq!(f32::trunc(1.5f32), 1.0f32);
+    assert_approx_eq!(f32::trunc(1.7f32), 1.0f32);
+    assert_approx_eq!(f32::trunc(0.0f32), 0.0f32);
+    assert_approx_eq!(f32::trunc(-0.0f32), -0.0f32);
+    assert_approx_eq!(f32::trunc(-1.0f32), -1.0f32);
+    assert_approx_eq!(f32::trunc(-1.3f32), -1.0f32);
+    assert_approx_eq!(f32::trunc(-1.5f32), -1.0f32);
+    assert_approx_eq!(f32::trunc(-1.7f32), -1.0f32);
+}
+
+#[test]
+fn test_fract() {
+    assert_approx_eq!(f32::fract(1.0f32), 0.0f32);
+    assert_approx_eq!(f32::fract(1.3f32), 0.3f32);
+    assert_approx_eq!(f32::fract(1.5f32), 0.5f32);
+    assert_approx_eq!(f32::fract(1.7f32), 0.7f32);
+    assert_approx_eq!(f32::fract(0.0f32), 0.0f32);
+    assert_approx_eq!(f32::fract(-0.0f32), -0.0f32);
+    assert_approx_eq!(f32::fract(-1.0f32), -0.0f32);
+    assert_approx_eq!(f32::fract(-1.3f32), -0.3f32);
+    assert_approx_eq!(f32::fract(-1.5f32), -0.5f32);
+    assert_approx_eq!(f32::fract(-1.7f32), -0.7f32);
+}
+
+#[test]
+fn test_abs() {
+    assert_eq!(f32::INFINITY.abs(), f32::INFINITY);
+    assert_eq!(1f32.abs(), 1f32);
+    assert_eq!(0f32.abs(), 0f32);
+    assert_eq!((-0f32).abs(), 0f32);
+    assert_eq!((-1f32).abs(), 1f32);
+    assert_eq!(f32::NEG_INFINITY.abs(), f32::INFINITY);
+    assert_eq!((1f32 / f32::NEG_INFINITY).abs(), 0f32);
+    assert!(f32::NAN.abs().is_nan());
+}
+
+#[test]
+fn test_signum() {
+    assert_eq!(f32::INFINITY.signum(), 1f32);
+    assert_eq!(1f32.signum(), 1f32);
+    assert_eq!(0f32.signum(), 1f32);
+    assert_eq!((-0f32).signum(), -1f32);
+    assert_eq!((-1f32).signum(), -1f32);
+    assert_eq!(f32::NEG_INFINITY.signum(), -1f32);
+    assert_eq!((1f32 / f32::NEG_INFINITY).signum(), -1f32);
+    assert!(f32::NAN.signum().is_nan());
+}
+
+#[test]
+fn test_is_sign_positive() {
+    assert!(f32::INFINITY.is_sign_positive());
+    assert!(1f32.is_sign_positive());
+    assert!(0f32.is_sign_positive());
+    assert!(!(-0f32).is_sign_positive());
+    assert!(!(-1f32).is_sign_positive());
+    assert!(!f32::NEG_INFINITY.is_sign_positive());
+    assert!(!(1f32 / f32::NEG_INFINITY).is_sign_positive());
+    assert!(f32::NAN.is_sign_positive());
+    assert!(!(-f32::NAN).is_sign_positive());
+}
+
+#[test]
+fn test_is_sign_negative() {
+    assert!(!f32::INFINITY.is_sign_negative());
+    assert!(!1f32.is_sign_negative());
+    assert!(!0f32.is_sign_negative());
+    assert!((-0f32).is_sign_negative());
+    assert!((-1f32).is_sign_negative());
+    assert!(f32::NEG_INFINITY.is_sign_negative());
+    assert!((1f32 / f32::NEG_INFINITY).is_sign_negative());
+    assert!(!f32::NAN.is_sign_negative());
+    assert!((-f32::NAN).is_sign_negative());
+}
+
+#[test]
+fn test_next_up() {
+    let tiny = f32::from_bits(TINY_BITS);
+    let tiny_up = f32::from_bits(TINY_UP_BITS);
+    let max_down = f32::from_bits(MAX_DOWN_BITS);
+    let largest_subnormal = f32::from_bits(LARGEST_SUBNORMAL_BITS);
+    let smallest_normal = f32::from_bits(SMALLEST_NORMAL_BITS);
+    assert_f32_biteq!(f32::NEG_INFINITY.next_up(), f32::MIN);
+    assert_f32_biteq!(f32::MIN.next_up(), -max_down);
+    assert_f32_biteq!((-1.0 - f32::EPSILON).next_up(), -1.0);
+    assert_f32_biteq!((-smallest_normal).next_up(), -largest_subnormal);
+    assert_f32_biteq!((-tiny_up).next_up(), -tiny);
+    assert_f32_biteq!((-tiny).next_up(), -0.0f32);
+    assert_f32_biteq!((-0.0f32).next_up(), tiny);
+    assert_f32_biteq!(0.0f32.next_up(), tiny);
+    assert_f32_biteq!(tiny.next_up(), tiny_up);
+    assert_f32_biteq!(largest_subnormal.next_up(), smallest_normal);
+    assert_f32_biteq!(1.0f32.next_up(), 1.0 + f32::EPSILON);
+    assert_f32_biteq!(f32::MAX.next_up(), f32::INFINITY);
+    assert_f32_biteq!(f32::INFINITY.next_up(), f32::INFINITY);
+
+    // Check that NaNs roundtrip.
+    let nan0 = f32::NAN;
+    let nan1 = f32::from_bits(f32::NAN.to_bits() ^ NAN_MASK1);
+    let nan2 = f32::from_bits(f32::NAN.to_bits() ^ NAN_MASK2);
+    assert_f32_biteq!(nan0.next_up(), nan0);
+    assert_f32_biteq!(nan1.next_up(), nan1);
+    assert_f32_biteq!(nan2.next_up(), nan2);
+}
+
+#[test]
+fn test_next_down() {
+    let tiny = f32::from_bits(TINY_BITS);
+    let tiny_up = f32::from_bits(TINY_UP_BITS);
+    let max_down = f32::from_bits(MAX_DOWN_BITS);
+    let largest_subnormal = f32::from_bits(LARGEST_SUBNORMAL_BITS);
+    let smallest_normal = f32::from_bits(SMALLEST_NORMAL_BITS);
+    assert_f32_biteq!(f32::NEG_INFINITY.next_down(), f32::NEG_INFINITY);
+    assert_f32_biteq!(f32::MIN.next_down(), f32::NEG_INFINITY);
+    assert_f32_biteq!((-max_down).next_down(), f32::MIN);
+    assert_f32_biteq!((-1.0f32).next_down(), -1.0 - f32::EPSILON);
+    assert_f32_biteq!((-largest_subnormal).next_down(), -smallest_normal);
+    assert_f32_biteq!((-tiny).next_down(), -tiny_up);
+    assert_f32_biteq!((-0.0f32).next_down(), -tiny);
+    assert_f32_biteq!((0.0f32).next_down(), -tiny);
+    assert_f32_biteq!(tiny.next_down(), 0.0f32);
+    assert_f32_biteq!(tiny_up.next_down(), tiny);
+    assert_f32_biteq!(smallest_normal.next_down(), largest_subnormal);
+    assert_f32_biteq!((1.0 + f32::EPSILON).next_down(), 1.0f32);
+    assert_f32_biteq!(f32::MAX.next_down(), max_down);
+    assert_f32_biteq!(f32::INFINITY.next_down(), f32::MAX);
+
+    // Check that NaNs roundtrip.
+    let nan0 = f32::NAN;
+    let nan1 = f32::from_bits(f32::NAN.to_bits() ^ NAN_MASK1);
+    let nan2 = f32::from_bits(f32::NAN.to_bits() ^ NAN_MASK2);
+    assert_f32_biteq!(nan0.next_down(), nan0);
+    assert_f32_biteq!(nan1.next_down(), nan1);
+    assert_f32_biteq!(nan2.next_down(), nan2);
+}
+
+// FIXME(#140515): mingw has an incorrect fma https://sourceforge.net/p/mingw-w64/bugs/848/
+#[cfg_attr(all(target_os = "windows", target_env = "gnu", not(target_abi = "llvm")), ignore)]
+#[test]
+fn test_mul_add() {
+    let nan: f32 = f32::NAN;
+    let inf: f32 = f32::INFINITY;
+    let neg_inf: f32 = f32::NEG_INFINITY;
+    assert_approx_eq!(f32::mul_add(12.3f32, 4.5, 6.7), 62.05);
+    assert_approx_eq!(f32::mul_add(-12.3f32, -4.5, -6.7), 48.65);
+    assert_approx_eq!(f32::mul_add(0.0f32, 8.9, 1.2), 1.2);
+    assert_approx_eq!(f32::mul_add(3.4f32, -0.0, 5.6), 5.6);
+    assert!(f32::mul_add(nan, 7.8, 9.0).is_nan());
+    assert_eq!(f32::mul_add(inf, 7.8, 9.0), inf);
+    assert_eq!(f32::mul_add(neg_inf, 7.8, 9.0), neg_inf);
+    assert_eq!(f32::mul_add(8.9f32, inf, 3.2), inf);
+    assert_eq!(f32::mul_add(-3.2f32, 2.4, neg_inf), neg_inf);
+}
+
+#[test]
+fn test_recip() {
+    let nan: f32 = f32::NAN;
+    let inf: f32 = f32::INFINITY;
+    let neg_inf: f32 = f32::NEG_INFINITY;
+    assert_eq!(1.0f32.recip(), 1.0);
+    assert_eq!(2.0f32.recip(), 0.5);
+    assert_eq!((-0.4f32).recip(), -2.5);
+    assert_eq!(0.0f32.recip(), inf);
+    assert!(nan.recip().is_nan());
+    assert_eq!(inf.recip(), 0.0);
+    assert_eq!(neg_inf.recip(), 0.0);
+}
+
+#[test]
+fn test_powi() {
+    let nan: f32 = f32::NAN;
+    let inf: f32 = f32::INFINITY;
+    let neg_inf: f32 = f32::NEG_INFINITY;
+    assert_eq!(1.0f32.powi(1), 1.0);
+    assert_approx_eq!((-3.1f32).powi(2), 9.61);
+    assert_approx_eq!(5.9f32.powi(-2), 0.028727);
+    assert_eq!(8.3f32.powi(0), 1.0);
+    assert!(nan.powi(2).is_nan());
+    assert_eq!(inf.powi(3), inf);
+    assert_eq!(neg_inf.powi(2), inf);
+}
+
+#[test]
+fn test_sqrt_domain() {
+    assert!(f32::NAN.sqrt().is_nan());
+    assert!(f32::NEG_INFINITY.sqrt().is_nan());
+    assert!((-1.0f32).sqrt().is_nan());
+    assert_eq!((-0.0f32).sqrt(), -0.0);
+    assert_eq!(0.0f32.sqrt(), 0.0);
+    assert_eq!(1.0f32.sqrt(), 1.0);
+    assert_eq!(f32::INFINITY.sqrt(), f32::INFINITY);
+}
+
+#[test]
+fn test_to_degrees() {
+    let pi: f32 = consts::PI;
+    let nan: f32 = f32::NAN;
+    let inf: f32 = f32::INFINITY;
+    let neg_inf: f32 = f32::NEG_INFINITY;
+    assert_eq!(0.0f32.to_degrees(), 0.0);
+    assert_approx_eq!((-5.8f32).to_degrees(), -332.315521);
+    assert_eq!(pi.to_degrees(), 180.0);
+    assert!(nan.to_degrees().is_nan());
+    assert_eq!(inf.to_degrees(), inf);
+    assert_eq!(neg_inf.to_degrees(), neg_inf);
+    assert_eq!(1_f32.to_degrees(), 57.2957795130823208767981548141051703);
+}
+
+#[test]
+fn test_to_radians() {
+    let pi: f32 = consts::PI;
+    let nan: f32 = f32::NAN;
+    let inf: f32 = f32::INFINITY;
+    let neg_inf: f32 = f32::NEG_INFINITY;
+    assert_eq!(0.0f32.to_radians(), 0.0);
+    assert_approx_eq!(154.6f32.to_radians(), 2.698279);
+    assert_approx_eq!((-332.31f32).to_radians(), -5.799903);
+    assert_eq!(180.0f32.to_radians(), pi);
+    assert!(nan.to_radians().is_nan());
+    assert_eq!(inf.to_radians(), inf);
+    assert_eq!(neg_inf.to_radians(), neg_inf);
+}
+
+#[test]
+fn test_float_bits_conv() {
+    assert_eq!((1f32).to_bits(), 0x3f800000);
+    assert_eq!((12.5f32).to_bits(), 0x41480000);
+    assert_eq!((1337f32).to_bits(), 0x44a72000);
+    assert_eq!((-14.25f32).to_bits(), 0xc1640000);
+    assert_approx_eq!(f32::from_bits(0x3f800000), 1.0);
+    assert_approx_eq!(f32::from_bits(0x41480000), 12.5);
+    assert_approx_eq!(f32::from_bits(0x44a72000), 1337.0);
+    assert_approx_eq!(f32::from_bits(0xc1640000), -14.25);
+
+    // Check that NaNs roundtrip their bits regardless of signaling-ness
+    // 0xA is 0b1010; 0x5 is 0b0101 -- so these two together clobbers all the mantissa bits
+    let masked_nan1 = f32::NAN.to_bits() ^ NAN_MASK1;
+    let masked_nan2 = f32::NAN.to_bits() ^ NAN_MASK2;
+    assert!(f32::from_bits(masked_nan1).is_nan());
+    assert!(f32::from_bits(masked_nan2).is_nan());
+
+    assert_eq!(f32::from_bits(masked_nan1).to_bits(), masked_nan1);
+    assert_eq!(f32::from_bits(masked_nan2).to_bits(), masked_nan2);
+}
+
+#[test]
+#[should_panic]
+fn test_clamp_min_greater_than_max() {
+    let _ = 1.0f32.clamp(3.0, 1.0);
+}
+
+#[test]
+#[should_panic]
+fn test_clamp_min_is_nan() {
+    let _ = 1.0f32.clamp(f32::NAN, 1.0);
+}
+
+#[test]
+#[should_panic]
+fn test_clamp_max_is_nan() {
+    let _ = 1.0f32.clamp(3.0, f32::NAN);
+}
+
+#[test]
+fn test_total_cmp() {
+    use core::cmp::Ordering;
+
+    fn quiet_bit_mask() -> u32 {
+        1 << (f32::MANTISSA_DIGITS - 2)
+    }
+
+    fn min_subnorm() -> f32 {
+        f32::MIN_POSITIVE / f32::powf(2.0, f32::MANTISSA_DIGITS as f32 - 1.0)
+    }
+
+    fn max_subnorm() -> f32 {
+        f32::MIN_POSITIVE - min_subnorm()
+    }
+
+    fn q_nan() -> f32 {
+        f32::from_bits(f32::NAN.to_bits() | quiet_bit_mask())
+    }
+
+    fn s_nan() -> f32 {
+        f32::from_bits((f32::NAN.to_bits() & !quiet_bit_mask()) + 42)
+    }
+
+    assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan()));
+    assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan()));
+    assert_eq!(Ordering::Equal, (-f32::INFINITY).total_cmp(&-f32::INFINITY));
+    assert_eq!(Ordering::Equal, (-f32::MAX).total_cmp(&-f32::MAX));
+    assert_eq!(Ordering::Equal, (-2.5_f32).total_cmp(&-2.5));
+    assert_eq!(Ordering::Equal, (-1.0_f32).total_cmp(&-1.0));
+    assert_eq!(Ordering::Equal, (-1.5_f32).total_cmp(&-1.5));
+    assert_eq!(Ordering::Equal, (-0.5_f32).total_cmp(&-0.5));
+    assert_eq!(Ordering::Equal, (-f32::MIN_POSITIVE).total_cmp(&-f32::MIN_POSITIVE));
+    assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm()));
+    assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Equal, (-0.0_f32).total_cmp(&-0.0));
+    assert_eq!(Ordering::Equal, 0.0_f32.total_cmp(&0.0));
+    assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm()));
+    assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Equal, f32::MIN_POSITIVE.total_cmp(&f32::MIN_POSITIVE));
+    assert_eq!(Ordering::Equal, 0.5_f32.total_cmp(&0.5));
+    assert_eq!(Ordering::Equal, 1.0_f32.total_cmp(&1.0));
+    assert_eq!(Ordering::Equal, 1.5_f32.total_cmp(&1.5));
+    assert_eq!(Ordering::Equal, 2.5_f32.total_cmp(&2.5));
+    assert_eq!(Ordering::Equal, f32::MAX.total_cmp(&f32::MAX));
+    assert_eq!(Ordering::Equal, f32::INFINITY.total_cmp(&f32::INFINITY));
+    assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan()));
+    assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan()));
+
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::INFINITY));
+    assert_eq!(Ordering::Less, (-f32::INFINITY).total_cmp(&-f32::MAX));
+    assert_eq!(Ordering::Less, (-f32::MAX).total_cmp(&-2.5));
+    assert_eq!(Ordering::Less, (-2.5_f32).total_cmp(&-1.5));
+    assert_eq!(Ordering::Less, (-1.5_f32).total_cmp(&-1.0));
+    assert_eq!(Ordering::Less, (-1.0_f32).total_cmp(&-0.5));
+    assert_eq!(Ordering::Less, (-0.5_f32).total_cmp(&-f32::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-f32::MIN_POSITIVE).total_cmp(&-max_subnorm()));
+    assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0));
+    assert_eq!(Ordering::Less, (-0.0_f32).total_cmp(&0.0));
+    assert_eq!(Ordering::Less, 0.0_f32.total_cmp(&min_subnorm()));
+    assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f32::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, f32::MIN_POSITIVE.total_cmp(&0.5));
+    assert_eq!(Ordering::Less, 0.5_f32.total_cmp(&1.0));
+    assert_eq!(Ordering::Less, 1.0_f32.total_cmp(&1.5));
+    assert_eq!(Ordering::Less, 1.5_f32.total_cmp(&2.5));
+    assert_eq!(Ordering::Less, 2.5_f32.total_cmp(&f32::MAX));
+    assert_eq!(Ordering::Less, f32::MAX.total_cmp(&f32::INFINITY));
+    assert_eq!(Ordering::Less, f32::INFINITY.total_cmp(&s_nan()));
+    assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan()));
+
+    assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan()));
+    assert_eq!(Ordering::Greater, (-f32::INFINITY).total_cmp(&-s_nan()));
+    assert_eq!(Ordering::Greater, (-f32::MAX).total_cmp(&-f32::INFINITY));
+    assert_eq!(Ordering::Greater, (-2.5_f32).total_cmp(&-f32::MAX));
+    assert_eq!(Ordering::Greater, (-1.5_f32).total_cmp(&-2.5));
+    assert_eq!(Ordering::Greater, (-1.0_f32).total_cmp(&-1.5));
+    assert_eq!(Ordering::Greater, (-0.5_f32).total_cmp(&-1.0));
+    assert_eq!(Ordering::Greater, (-f32::MIN_POSITIVE).total_cmp(&-0.5));
+    assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f32::MIN_POSITIVE));
+    assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm()));
+    assert_eq!(Ordering::Greater, (-0.0_f32).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Greater, 0.0_f32.total_cmp(&-0.0));
+    assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0));
+    assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm()));
+    assert_eq!(Ordering::Greater, f32::MIN_POSITIVE.total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Greater, 0.5_f32.total_cmp(&f32::MIN_POSITIVE));
+    assert_eq!(Ordering::Greater, 1.0_f32.total_cmp(&0.5));
+    assert_eq!(Ordering::Greater, 1.5_f32.total_cmp(&1.0));
+    assert_eq!(Ordering::Greater, 2.5_f32.total_cmp(&1.5));
+    assert_eq!(Ordering::Greater, f32::MAX.total_cmp(&2.5));
+    assert_eq!(Ordering::Greater, f32::INFINITY.total_cmp(&f32::MAX));
+    assert_eq!(Ordering::Greater, s_nan().total_cmp(&f32::INFINITY));
+    assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan()));
+
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f32::INFINITY));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f32::MAX));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f32::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f32::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f32::MAX));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f32::INFINITY));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan()));
+
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::INFINITY));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::MAX));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f32::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f32::MAX));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f32::INFINITY));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan()));
+}
+
+#[test]
+fn test_algebraic() {
+    let a: f32 = 123.0;
+    let b: f32 = 456.0;
+
+    // Check that individual operations match their primitive counterparts.
+    //
+    // This is a check of current implementations and does NOT imply any form of
+    // guarantee about future behavior. The compiler reserves the right to make
+    // these operations inexact matches in the future.
+    let eps_add = if cfg!(miri) { 1e-3 } else { 0.0 };
+    let eps_mul = if cfg!(miri) { 1e-1 } else { 0.0 };
+    let eps_div = if cfg!(miri) { 1e-4 } else { 0.0 };
+
+    assert_approx_eq!(a.algebraic_add(b), a + b, eps_add);
+    assert_approx_eq!(a.algebraic_sub(b), a - b, eps_add);
+    assert_approx_eq!(a.algebraic_mul(b), a * b, eps_mul);
+    assert_approx_eq!(a.algebraic_div(b), a / b, eps_div);
+    assert_approx_eq!(a.algebraic_rem(b), a % b, eps_div);
+}
diff --git a/library/coretests/tests/floats/f64.rs b/library/coretests/tests/floats/f64.rs
new file mode 100644
index 00000000000..988108371d7
--- /dev/null
+++ b/library/coretests/tests/floats/f64.rs
@@ -0,0 +1,682 @@
+use std::f64::consts;
+use std::num::FpCategory as Fp;
+
+/// Smallest number
+const TINY_BITS: u64 = 0x1;
+
+/// Next smallest number
+const TINY_UP_BITS: u64 = 0x2;
+
+/// Exponent = 0b11...10, Sifnificand 0b1111..10. Min val > 0
+const MAX_DOWN_BITS: u64 = 0x7fef_ffff_ffff_fffe;
+
+/// Zeroed exponent, full significant
+const LARGEST_SUBNORMAL_BITS: u64 = 0x000f_ffff_ffff_ffff;
+
+/// Exponent = 0b1, zeroed significand
+const SMALLEST_NORMAL_BITS: u64 = 0x0010_0000_0000_0000;
+
+/// First pattern over the mantissa
+const NAN_MASK1: u64 = 0x000a_aaaa_aaaa_aaaa;
+
+/// Second pattern over the mantissa
+const NAN_MASK2: u64 = 0x0005_5555_5555_5555;
+
+#[allow(unused_macros)]
+macro_rules! assert_f64_biteq {
+    ($left : expr, $right : expr) => {
+        let l: &f64 = &$left;
+        let r: &f64 = &$right;
+        let lb = l.to_bits();
+        let rb = r.to_bits();
+        assert_eq!(lb, rb, "float {l} ({lb:#018x}) is not bitequal to {r} ({rb:#018x})");
+    };
+}
+
+#[test]
+fn test_num_f64() {
+    super::test_num(10f64, 2f64);
+}
+
+#[test]
+fn test_min_nan() {
+    assert_eq!(f64::NAN.min(2.0), 2.0);
+    assert_eq!(2.0f64.min(f64::NAN), 2.0);
+}
+
+#[test]
+fn test_max_nan() {
+    assert_eq!(f64::NAN.max(2.0), 2.0);
+    assert_eq!(2.0f64.max(f64::NAN), 2.0);
+}
+
+#[test]
+fn test_nan() {
+    let nan: f64 = f64::NAN;
+    assert!(nan.is_nan());
+    assert!(!nan.is_infinite());
+    assert!(!nan.is_finite());
+    assert!(!nan.is_normal());
+    assert!(nan.is_sign_positive());
+    assert!(!nan.is_sign_negative());
+    assert_eq!(Fp::Nan, nan.classify());
+    // Ensure the quiet bit is set.
+    assert!(nan.to_bits() & (1 << (f64::MANTISSA_DIGITS - 2)) != 0);
+}
+
+#[test]
+fn test_infinity() {
+    let inf: f64 = f64::INFINITY;
+    assert!(inf.is_infinite());
+    assert!(!inf.is_finite());
+    assert!(inf.is_sign_positive());
+    assert!(!inf.is_sign_negative());
+    assert!(!inf.is_nan());
+    assert!(!inf.is_normal());
+    assert_eq!(Fp::Infinite, inf.classify());
+}
+
+#[test]
+fn test_neg_infinity() {
+    let neg_inf: f64 = f64::NEG_INFINITY;
+    assert!(neg_inf.is_infinite());
+    assert!(!neg_inf.is_finite());
+    assert!(!neg_inf.is_sign_positive());
+    assert!(neg_inf.is_sign_negative());
+    assert!(!neg_inf.is_nan());
+    assert!(!neg_inf.is_normal());
+    assert_eq!(Fp::Infinite, neg_inf.classify());
+}
+
+#[test]
+fn test_zero() {
+    let zero: f64 = 0.0f64;
+    assert_eq!(0.0, zero);
+    assert!(!zero.is_infinite());
+    assert!(zero.is_finite());
+    assert!(zero.is_sign_positive());
+    assert!(!zero.is_sign_negative());
+    assert!(!zero.is_nan());
+    assert!(!zero.is_normal());
+    assert_eq!(Fp::Zero, zero.classify());
+}
+
+#[test]
+fn test_neg_zero() {
+    let neg_zero: f64 = -0.0;
+    assert_eq!(0.0, neg_zero);
+    assert!(!neg_zero.is_infinite());
+    assert!(neg_zero.is_finite());
+    assert!(!neg_zero.is_sign_positive());
+    assert!(neg_zero.is_sign_negative());
+    assert!(!neg_zero.is_nan());
+    assert!(!neg_zero.is_normal());
+    assert_eq!(Fp::Zero, neg_zero.classify());
+}
+
+#[test]
+fn test_one() {
+    let one: f64 = 1.0f64;
+    assert_eq!(1.0, one);
+    assert!(!one.is_infinite());
+    assert!(one.is_finite());
+    assert!(one.is_sign_positive());
+    assert!(!one.is_sign_negative());
+    assert!(!one.is_nan());
+    assert!(one.is_normal());
+    assert_eq!(Fp::Normal, one.classify());
+}
+
+#[test]
+fn test_is_nan() {
+    let nan: f64 = f64::NAN;
+    let inf: f64 = f64::INFINITY;
+    let neg_inf: f64 = f64::NEG_INFINITY;
+    assert!(nan.is_nan());
+    assert!(!0.0f64.is_nan());
+    assert!(!5.3f64.is_nan());
+    assert!(!(-10.732f64).is_nan());
+    assert!(!inf.is_nan());
+    assert!(!neg_inf.is_nan());
+}
+
+#[test]
+fn test_is_infinite() {
+    let nan: f64 = f64::NAN;
+    let inf: f64 = f64::INFINITY;
+    let neg_inf: f64 = f64::NEG_INFINITY;
+    assert!(!nan.is_infinite());
+    assert!(inf.is_infinite());
+    assert!(neg_inf.is_infinite());
+    assert!(!0.0f64.is_infinite());
+    assert!(!42.8f64.is_infinite());
+    assert!(!(-109.2f64).is_infinite());
+}
+
+#[test]
+fn test_is_finite() {
+    let nan: f64 = f64::NAN;
+    let inf: f64 = f64::INFINITY;
+    let neg_inf: f64 = f64::NEG_INFINITY;
+    assert!(!nan.is_finite());
+    assert!(!inf.is_finite());
+    assert!(!neg_inf.is_finite());
+    assert!(0.0f64.is_finite());
+    assert!(42.8f64.is_finite());
+    assert!((-109.2f64).is_finite());
+}
+
+#[test]
+fn test_is_normal() {
+    let nan: f64 = f64::NAN;
+    let inf: f64 = f64::INFINITY;
+    let neg_inf: f64 = f64::NEG_INFINITY;
+    let zero: f64 = 0.0f64;
+    let neg_zero: f64 = -0.0;
+    assert!(!nan.is_normal());
+    assert!(!inf.is_normal());
+    assert!(!neg_inf.is_normal());
+    assert!(!zero.is_normal());
+    assert!(!neg_zero.is_normal());
+    assert!(1f64.is_normal());
+    assert!(1e-307f64.is_normal());
+    assert!(!1e-308f64.is_normal());
+}
+
+#[test]
+fn test_classify() {
+    let nan: f64 = f64::NAN;
+    let inf: f64 = f64::INFINITY;
+    let neg_inf: f64 = f64::NEG_INFINITY;
+    let zero: f64 = 0.0f64;
+    let neg_zero: f64 = -0.0;
+    assert_eq!(nan.classify(), Fp::Nan);
+    assert_eq!(inf.classify(), Fp::Infinite);
+    assert_eq!(neg_inf.classify(), Fp::Infinite);
+    assert_eq!(zero.classify(), Fp::Zero);
+    assert_eq!(neg_zero.classify(), Fp::Zero);
+    assert_eq!(1e-307f64.classify(), Fp::Normal);
+    assert_eq!(1e-308f64.classify(), Fp::Subnormal);
+}
+
+#[test]
+fn test_floor() {
+    assert_approx_eq!(f64::floor(1.0f64), 1.0f64);
+    assert_approx_eq!(f64::floor(1.3f64), 1.0f64);
+    assert_approx_eq!(f64::floor(1.5f64), 1.0f64);
+    assert_approx_eq!(f64::floor(1.7f64), 1.0f64);
+    assert_approx_eq!(f64::floor(0.0f64), 0.0f64);
+    assert_approx_eq!(f64::floor(-0.0f64), -0.0f64);
+    assert_approx_eq!(f64::floor(-1.0f64), -1.0f64);
+    assert_approx_eq!(f64::floor(-1.3f64), -2.0f64);
+    assert_approx_eq!(f64::floor(-1.5f64), -2.0f64);
+    assert_approx_eq!(f64::floor(-1.7f64), -2.0f64);
+}
+
+#[test]
+fn test_ceil() {
+    assert_approx_eq!(f64::ceil(1.0f64), 1.0f64);
+    assert_approx_eq!(f64::ceil(1.3f64), 2.0f64);
+    assert_approx_eq!(f64::ceil(1.5f64), 2.0f64);
+    assert_approx_eq!(f64::ceil(1.7f64), 2.0f64);
+    assert_approx_eq!(f64::ceil(0.0f64), 0.0f64);
+    assert_approx_eq!(f64::ceil(-0.0f64), -0.0f64);
+    assert_approx_eq!(f64::ceil(-1.0f64), -1.0f64);
+    assert_approx_eq!(f64::ceil(-1.3f64), -1.0f64);
+    assert_approx_eq!(f64::ceil(-1.5f64), -1.0f64);
+    assert_approx_eq!(f64::ceil(-1.7f64), -1.0f64);
+}
+
+#[test]
+fn test_round() {
+    assert_approx_eq!(f64::round(2.5f64), 3.0f64);
+    assert_approx_eq!(f64::round(1.0f64), 1.0f64);
+    assert_approx_eq!(f64::round(1.3f64), 1.0f64);
+    assert_approx_eq!(f64::round(1.5f64), 2.0f64);
+    assert_approx_eq!(f64::round(1.7f64), 2.0f64);
+    assert_approx_eq!(f64::round(0.0f64), 0.0f64);
+    assert_approx_eq!(f64::round(-0.0f64), -0.0f64);
+    assert_approx_eq!(f64::round(-1.0f64), -1.0f64);
+    assert_approx_eq!(f64::round(-1.3f64), -1.0f64);
+    assert_approx_eq!(f64::round(-1.5f64), -2.0f64);
+    assert_approx_eq!(f64::round(-1.7f64), -2.0f64);
+}
+
+#[test]
+fn test_round_ties_even() {
+    assert_approx_eq!(f64::round_ties_even(2.5f64), 2.0f64);
+    assert_approx_eq!(f64::round_ties_even(1.0f64), 1.0f64);
+    assert_approx_eq!(f64::round_ties_even(1.3f64), 1.0f64);
+    assert_approx_eq!(f64::round_ties_even(1.5f64), 2.0f64);
+    assert_approx_eq!(f64::round_ties_even(1.7f64), 2.0f64);
+    assert_approx_eq!(f64::round_ties_even(0.0f64), 0.0f64);
+    assert_approx_eq!(f64::round_ties_even(-0.0f64), -0.0f64);
+    assert_approx_eq!(f64::round_ties_even(-1.0f64), -1.0f64);
+    assert_approx_eq!(f64::round_ties_even(-1.3f64), -1.0f64);
+    assert_approx_eq!(f64::round_ties_even(-1.5f64), -2.0f64);
+    assert_approx_eq!(f64::round_ties_even(-1.7f64), -2.0f64);
+}
+
+#[test]
+fn test_trunc() {
+    assert_approx_eq!(f64::trunc(1.0f64), 1.0f64);
+    assert_approx_eq!(f64::trunc(1.3f64), 1.0f64);
+    assert_approx_eq!(f64::trunc(1.5f64), 1.0f64);
+    assert_approx_eq!(f64::trunc(1.7f64), 1.0f64);
+    assert_approx_eq!(f64::trunc(0.0f64), 0.0f64);
+    assert_approx_eq!(f64::trunc(-0.0f64), -0.0f64);
+    assert_approx_eq!(f64::trunc(-1.0f64), -1.0f64);
+    assert_approx_eq!(f64::trunc(-1.3f64), -1.0f64);
+    assert_approx_eq!(f64::trunc(-1.5f64), -1.0f64);
+    assert_approx_eq!(f64::trunc(-1.7f64), -1.0f64);
+}
+
+#[test]
+fn test_fract() {
+    assert_approx_eq!(f64::fract(1.0f64), 0.0f64);
+    assert_approx_eq!(f64::fract(1.3f64), 0.3f64);
+    assert_approx_eq!(f64::fract(1.5f64), 0.5f64);
+    assert_approx_eq!(f64::fract(1.7f64), 0.7f64);
+    assert_approx_eq!(f64::fract(0.0f64), 0.0f64);
+    assert_approx_eq!(f64::fract(-0.0f64), -0.0f64);
+    assert_approx_eq!(f64::fract(-1.0f64), -0.0f64);
+    assert_approx_eq!(f64::fract(-1.3f64), -0.3f64);
+    assert_approx_eq!(f64::fract(-1.5f64), -0.5f64);
+    assert_approx_eq!(f64::fract(-1.7f64), -0.7f64);
+}
+
+#[test]
+fn test_abs() {
+    assert_eq!(f64::INFINITY.abs(), f64::INFINITY);
+    assert_eq!(1f64.abs(), 1f64);
+    assert_eq!(0f64.abs(), 0f64);
+    assert_eq!((-0f64).abs(), 0f64);
+    assert_eq!((-1f64).abs(), 1f64);
+    assert_eq!(f64::NEG_INFINITY.abs(), f64::INFINITY);
+    assert_eq!((1f64 / f64::NEG_INFINITY).abs(), 0f64);
+    assert!(f64::NAN.abs().is_nan());
+}
+
+#[test]
+fn test_signum() {
+    assert_eq!(f64::INFINITY.signum(), 1f64);
+    assert_eq!(1f64.signum(), 1f64);
+    assert_eq!(0f64.signum(), 1f64);
+    assert_eq!((-0f64).signum(), -1f64);
+    assert_eq!((-1f64).signum(), -1f64);
+    assert_eq!(f64::NEG_INFINITY.signum(), -1f64);
+    assert_eq!((1f64 / f64::NEG_INFINITY).signum(), -1f64);
+    assert!(f64::NAN.signum().is_nan());
+}
+
+#[test]
+fn test_is_sign_positive() {
+    assert!(f64::INFINITY.is_sign_positive());
+    assert!(1f64.is_sign_positive());
+    assert!(0f64.is_sign_positive());
+    assert!(!(-0f64).is_sign_positive());
+    assert!(!(-1f64).is_sign_positive());
+    assert!(!f64::NEG_INFINITY.is_sign_positive());
+    assert!(!(1f64 / f64::NEG_INFINITY).is_sign_positive());
+    assert!(f64::NAN.is_sign_positive());
+    assert!(!(-f64::NAN).is_sign_positive());
+}
+
+#[test]
+fn test_is_sign_negative() {
+    assert!(!f64::INFINITY.is_sign_negative());
+    assert!(!1f64.is_sign_negative());
+    assert!(!0f64.is_sign_negative());
+    assert!((-0f64).is_sign_negative());
+    assert!((-1f64).is_sign_negative());
+    assert!(f64::NEG_INFINITY.is_sign_negative());
+    assert!((1f64 / f64::NEG_INFINITY).is_sign_negative());
+    assert!(!f64::NAN.is_sign_negative());
+    assert!((-f64::NAN).is_sign_negative());
+}
+
+#[test]
+fn test_next_up() {
+    let tiny = f64::from_bits(TINY_BITS);
+    let tiny_up = f64::from_bits(TINY_UP_BITS);
+    let max_down = f64::from_bits(MAX_DOWN_BITS);
+    let largest_subnormal = f64::from_bits(LARGEST_SUBNORMAL_BITS);
+    let smallest_normal = f64::from_bits(SMALLEST_NORMAL_BITS);
+    assert_f64_biteq!(f64::NEG_INFINITY.next_up(), f64::MIN);
+    assert_f64_biteq!(f64::MIN.next_up(), -max_down);
+    assert_f64_biteq!((-1.0 - f64::EPSILON).next_up(), -1.0);
+    assert_f64_biteq!((-smallest_normal).next_up(), -largest_subnormal);
+    assert_f64_biteq!((-tiny_up).next_up(), -tiny);
+    assert_f64_biteq!((-tiny).next_up(), -0.0f64);
+    assert_f64_biteq!((-0.0f64).next_up(), tiny);
+    assert_f64_biteq!(0.0f64.next_up(), tiny);
+    assert_f64_biteq!(tiny.next_up(), tiny_up);
+    assert_f64_biteq!(largest_subnormal.next_up(), smallest_normal);
+    assert_f64_biteq!(1.0f64.next_up(), 1.0 + f64::EPSILON);
+    assert_f64_biteq!(f64::MAX.next_up(), f64::INFINITY);
+    assert_f64_biteq!(f64::INFINITY.next_up(), f64::INFINITY);
+
+    let nan0 = f64::NAN;
+    let nan1 = f64::from_bits(f64::NAN.to_bits() ^ NAN_MASK1);
+    let nan2 = f64::from_bits(f64::NAN.to_bits() ^ NAN_MASK2);
+    assert_f64_biteq!(nan0.next_up(), nan0);
+    assert_f64_biteq!(nan1.next_up(), nan1);
+    assert_f64_biteq!(nan2.next_up(), nan2);
+}
+
+#[test]
+fn test_next_down() {
+    let tiny = f64::from_bits(TINY_BITS);
+    let tiny_up = f64::from_bits(TINY_UP_BITS);
+    let max_down = f64::from_bits(MAX_DOWN_BITS);
+    let largest_subnormal = f64::from_bits(LARGEST_SUBNORMAL_BITS);
+    let smallest_normal = f64::from_bits(SMALLEST_NORMAL_BITS);
+    assert_f64_biteq!(f64::NEG_INFINITY.next_down(), f64::NEG_INFINITY);
+    assert_f64_biteq!(f64::MIN.next_down(), f64::NEG_INFINITY);
+    assert_f64_biteq!((-max_down).next_down(), f64::MIN);
+    assert_f64_biteq!((-1.0f64).next_down(), -1.0 - f64::EPSILON);
+    assert_f64_biteq!((-largest_subnormal).next_down(), -smallest_normal);
+    assert_f64_biteq!((-tiny).next_down(), -tiny_up);
+    assert_f64_biteq!((-0.0f64).next_down(), -tiny);
+    assert_f64_biteq!((0.0f64).next_down(), -tiny);
+    assert_f64_biteq!(tiny.next_down(), 0.0f64);
+    assert_f64_biteq!(tiny_up.next_down(), tiny);
+    assert_f64_biteq!(smallest_normal.next_down(), largest_subnormal);
+    assert_f64_biteq!((1.0 + f64::EPSILON).next_down(), 1.0f64);
+    assert_f64_biteq!(f64::MAX.next_down(), max_down);
+    assert_f64_biteq!(f64::INFINITY.next_down(), f64::MAX);
+
+    let nan0 = f64::NAN;
+    let nan1 = f64::from_bits(f64::NAN.to_bits() ^ NAN_MASK1);
+    let nan2 = f64::from_bits(f64::NAN.to_bits() ^ NAN_MASK2);
+    assert_f64_biteq!(nan0.next_down(), nan0);
+    assert_f64_biteq!(nan1.next_down(), nan1);
+    assert_f64_biteq!(nan2.next_down(), nan2);
+}
+
+// FIXME(#140515): mingw has an incorrect fma https://sourceforge.net/p/mingw-w64/bugs/848/
+#[cfg_attr(all(target_os = "windows", target_env = "gnu", not(target_abi = "llvm")), ignore)]
+#[test]
+fn test_mul_add() {
+    let nan: f64 = f64::NAN;
+    let inf: f64 = f64::INFINITY;
+    let neg_inf: f64 = f64::NEG_INFINITY;
+    assert_approx_eq!(12.3f64.mul_add(4.5, 6.7), 62.05);
+    assert_approx_eq!((-12.3f64).mul_add(-4.5, -6.7), 48.65);
+    assert_approx_eq!(0.0f64.mul_add(8.9, 1.2), 1.2);
+    assert_approx_eq!(3.4f64.mul_add(-0.0, 5.6), 5.6);
+    assert!(nan.mul_add(7.8, 9.0).is_nan());
+    assert_eq!(inf.mul_add(7.8, 9.0), inf);
+    assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf);
+    assert_eq!(8.9f64.mul_add(inf, 3.2), inf);
+    assert_eq!((-3.2f64).mul_add(2.4, neg_inf), neg_inf);
+}
+
+#[test]
+fn test_recip() {
+    let nan: f64 = f64::NAN;
+    let inf: f64 = f64::INFINITY;
+    let neg_inf: f64 = f64::NEG_INFINITY;
+    assert_eq!(1.0f64.recip(), 1.0);
+    assert_eq!(2.0f64.recip(), 0.5);
+    assert_eq!((-0.4f64).recip(), -2.5);
+    assert_eq!(0.0f64.recip(), inf);
+    assert!(nan.recip().is_nan());
+    assert_eq!(inf.recip(), 0.0);
+    assert_eq!(neg_inf.recip(), 0.0);
+}
+
+#[test]
+fn test_powi() {
+    let nan: f64 = f64::NAN;
+    let inf: f64 = f64::INFINITY;
+    let neg_inf: f64 = f64::NEG_INFINITY;
+    assert_eq!(1.0f64.powi(1), 1.0);
+    assert_approx_eq!((-3.1f64).powi(2), 9.61);
+    assert_approx_eq!(5.9f64.powi(-2), 0.028727);
+    assert_eq!(8.3f64.powi(0), 1.0);
+    assert!(nan.powi(2).is_nan());
+    assert_eq!(inf.powi(3), inf);
+    assert_eq!(neg_inf.powi(2), inf);
+}
+
+#[test]
+fn test_sqrt_domain() {
+    assert!(f64::NAN.sqrt().is_nan());
+    assert!(f64::NEG_INFINITY.sqrt().is_nan());
+    assert!((-1.0f64).sqrt().is_nan());
+    assert_eq!((-0.0f64).sqrt(), -0.0);
+    assert_eq!(0.0f64.sqrt(), 0.0);
+    assert_eq!(1.0f64.sqrt(), 1.0);
+    assert_eq!(f64::INFINITY.sqrt(), f64::INFINITY);
+}
+
+#[test]
+fn test_to_degrees() {
+    let pi: f64 = consts::PI;
+    let nan: f64 = f64::NAN;
+    let inf: f64 = f64::INFINITY;
+    let neg_inf: f64 = f64::NEG_INFINITY;
+    assert_eq!(0.0f64.to_degrees(), 0.0);
+    assert_approx_eq!((-5.8f64).to_degrees(), -332.315521);
+    assert_eq!(pi.to_degrees(), 180.0);
+    assert!(nan.to_degrees().is_nan());
+    assert_eq!(inf.to_degrees(), inf);
+    assert_eq!(neg_inf.to_degrees(), neg_inf);
+}
+
+#[test]
+fn test_to_radians() {
+    let pi: f64 = consts::PI;
+    let nan: f64 = f64::NAN;
+    let inf: f64 = f64::INFINITY;
+    let neg_inf: f64 = f64::NEG_INFINITY;
+    assert_eq!(0.0f64.to_radians(), 0.0);
+    assert_approx_eq!(154.6f64.to_radians(), 2.698279);
+    assert_approx_eq!((-332.31f64).to_radians(), -5.799903);
+    assert_eq!(180.0f64.to_radians(), pi);
+    assert!(nan.to_radians().is_nan());
+    assert_eq!(inf.to_radians(), inf);
+    assert_eq!(neg_inf.to_radians(), neg_inf);
+}
+
+#[test]
+fn test_float_bits_conv() {
+    assert_eq!((1f64).to_bits(), 0x3ff0000000000000);
+    assert_eq!((12.5f64).to_bits(), 0x4029000000000000);
+    assert_eq!((1337f64).to_bits(), 0x4094e40000000000);
+    assert_eq!((-14.25f64).to_bits(), 0xc02c800000000000);
+    assert_approx_eq!(f64::from_bits(0x3ff0000000000000), 1.0);
+    assert_approx_eq!(f64::from_bits(0x4029000000000000), 12.5);
+    assert_approx_eq!(f64::from_bits(0x4094e40000000000), 1337.0);
+    assert_approx_eq!(f64::from_bits(0xc02c800000000000), -14.25);
+
+    // Check that NaNs roundtrip their bits regardless of signaling-ness
+    let masked_nan1 = f64::NAN.to_bits() ^ NAN_MASK1;
+    let masked_nan2 = f64::NAN.to_bits() ^ NAN_MASK2;
+    assert!(f64::from_bits(masked_nan1).is_nan());
+    assert!(f64::from_bits(masked_nan2).is_nan());
+
+    assert_eq!(f64::from_bits(masked_nan1).to_bits(), masked_nan1);
+    assert_eq!(f64::from_bits(masked_nan2).to_bits(), masked_nan2);
+}
+
+#[test]
+#[should_panic]
+fn test_clamp_min_greater_than_max() {
+    let _ = 1.0f64.clamp(3.0, 1.0);
+}
+
+#[test]
+#[should_panic]
+fn test_clamp_min_is_nan() {
+    let _ = 1.0f64.clamp(f64::NAN, 1.0);
+}
+
+#[test]
+#[should_panic]
+fn test_clamp_max_is_nan() {
+    let _ = 1.0f64.clamp(3.0, f64::NAN);
+}
+
+#[test]
+fn test_total_cmp() {
+    use core::cmp::Ordering;
+
+    fn quiet_bit_mask() -> u64 {
+        1 << (f64::MANTISSA_DIGITS - 2)
+    }
+
+    fn min_subnorm() -> f64 {
+        f64::MIN_POSITIVE / f64::powf(2.0, f64::MANTISSA_DIGITS as f64 - 1.0)
+    }
+
+    fn max_subnorm() -> f64 {
+        f64::MIN_POSITIVE - min_subnorm()
+    }
+
+    fn q_nan() -> f64 {
+        f64::from_bits(f64::NAN.to_bits() | quiet_bit_mask())
+    }
+
+    fn s_nan() -> f64 {
+        f64::from_bits((f64::NAN.to_bits() & !quiet_bit_mask()) + 42)
+    }
+
+    assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan()));
+    assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan()));
+    assert_eq!(Ordering::Equal, (-f64::INFINITY).total_cmp(&-f64::INFINITY));
+    assert_eq!(Ordering::Equal, (-f64::MAX).total_cmp(&-f64::MAX));
+    assert_eq!(Ordering::Equal, (-2.5_f64).total_cmp(&-2.5));
+    assert_eq!(Ordering::Equal, (-1.0_f64).total_cmp(&-1.0));
+    assert_eq!(Ordering::Equal, (-1.5_f64).total_cmp(&-1.5));
+    assert_eq!(Ordering::Equal, (-0.5_f64).total_cmp(&-0.5));
+    assert_eq!(Ordering::Equal, (-f64::MIN_POSITIVE).total_cmp(&-f64::MIN_POSITIVE));
+    assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm()));
+    assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Equal, (-0.0_f64).total_cmp(&-0.0));
+    assert_eq!(Ordering::Equal, 0.0_f64.total_cmp(&0.0));
+    assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm()));
+    assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Equal, f64::MIN_POSITIVE.total_cmp(&f64::MIN_POSITIVE));
+    assert_eq!(Ordering::Equal, 0.5_f64.total_cmp(&0.5));
+    assert_eq!(Ordering::Equal, 1.0_f64.total_cmp(&1.0));
+    assert_eq!(Ordering::Equal, 1.5_f64.total_cmp(&1.5));
+    assert_eq!(Ordering::Equal, 2.5_f64.total_cmp(&2.5));
+    assert_eq!(Ordering::Equal, f64::MAX.total_cmp(&f64::MAX));
+    assert_eq!(Ordering::Equal, f64::INFINITY.total_cmp(&f64::INFINITY));
+    assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan()));
+    assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan()));
+
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::INFINITY));
+    assert_eq!(Ordering::Less, (-f64::INFINITY).total_cmp(&-f64::MAX));
+    assert_eq!(Ordering::Less, (-f64::MAX).total_cmp(&-2.5));
+    assert_eq!(Ordering::Less, (-2.5_f64).total_cmp(&-1.5));
+    assert_eq!(Ordering::Less, (-1.5_f64).total_cmp(&-1.0));
+    assert_eq!(Ordering::Less, (-1.0_f64).total_cmp(&-0.5));
+    assert_eq!(Ordering::Less, (-0.5_f64).total_cmp(&-f64::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-f64::MIN_POSITIVE).total_cmp(&-max_subnorm()));
+    assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0));
+    assert_eq!(Ordering::Less, (-0.0_f64).total_cmp(&0.0));
+    assert_eq!(Ordering::Less, 0.0_f64.total_cmp(&min_subnorm()));
+    assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f64::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, f64::MIN_POSITIVE.total_cmp(&0.5));
+    assert_eq!(Ordering::Less, 0.5_f64.total_cmp(&1.0));
+    assert_eq!(Ordering::Less, 1.0_f64.total_cmp(&1.5));
+    assert_eq!(Ordering::Less, 1.5_f64.total_cmp(&2.5));
+    assert_eq!(Ordering::Less, 2.5_f64.total_cmp(&f64::MAX));
+    assert_eq!(Ordering::Less, f64::MAX.total_cmp(&f64::INFINITY));
+    assert_eq!(Ordering::Less, f64::INFINITY.total_cmp(&s_nan()));
+    assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan()));
+
+    assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan()));
+    assert_eq!(Ordering::Greater, (-f64::INFINITY).total_cmp(&-s_nan()));
+    assert_eq!(Ordering::Greater, (-f64::MAX).total_cmp(&-f64::INFINITY));
+    assert_eq!(Ordering::Greater, (-2.5_f64).total_cmp(&-f64::MAX));
+    assert_eq!(Ordering::Greater, (-1.5_f64).total_cmp(&-2.5));
+    assert_eq!(Ordering::Greater, (-1.0_f64).total_cmp(&-1.5));
+    assert_eq!(Ordering::Greater, (-0.5_f64).total_cmp(&-1.0));
+    assert_eq!(Ordering::Greater, (-f64::MIN_POSITIVE).total_cmp(&-0.5));
+    assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f64::MIN_POSITIVE));
+    assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm()));
+    assert_eq!(Ordering::Greater, (-0.0_f64).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Greater, 0.0_f64.total_cmp(&-0.0));
+    assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0));
+    assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm()));
+    assert_eq!(Ordering::Greater, f64::MIN_POSITIVE.total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Greater, 0.5_f64.total_cmp(&f64::MIN_POSITIVE));
+    assert_eq!(Ordering::Greater, 1.0_f64.total_cmp(&0.5));
+    assert_eq!(Ordering::Greater, 1.5_f64.total_cmp(&1.0));
+    assert_eq!(Ordering::Greater, 2.5_f64.total_cmp(&1.5));
+    assert_eq!(Ordering::Greater, f64::MAX.total_cmp(&2.5));
+    assert_eq!(Ordering::Greater, f64::INFINITY.total_cmp(&f64::MAX));
+    assert_eq!(Ordering::Greater, s_nan().total_cmp(&f64::INFINITY));
+    assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan()));
+
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f64::INFINITY));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f64::MAX));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f64::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f64::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f64::MAX));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f64::INFINITY));
+    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan()));
+
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::INFINITY));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::MAX));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm()));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f64::MIN_POSITIVE));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f64::MAX));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f64::INFINITY));
+    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan()));
+}
+
+#[test]
+fn test_algebraic() {
+    let a: f64 = 123.0;
+    let b: f64 = 456.0;
+
+    // Check that individual operations match their primitive counterparts.
+    //
+    // This is a check of current implementations and does NOT imply any form of
+    // guarantee about future behavior. The compiler reserves the right to make
+    // these operations inexact matches in the future.
+    let eps = if cfg!(miri) { 1e-6 } else { 0.0 };
+
+    assert_approx_eq!(a.algebraic_add(b), a + b, eps);
+    assert_approx_eq!(a.algebraic_sub(b), a - b, eps);
+    assert_approx_eq!(a.algebraic_mul(b), a * b, eps);
+    assert_approx_eq!(a.algebraic_div(b), a / b, eps);
+    assert_approx_eq!(a.algebraic_rem(b), a % b, eps);
+}
diff --git a/library/coretests/tests/floats/mod.rs b/library/coretests/tests/floats/mod.rs
new file mode 100644
index 00000000000..7de34271ad0
--- /dev/null
+++ b/library/coretests/tests/floats/mod.rs
@@ -0,0 +1,40 @@
+use std::fmt;
+use std::ops::{Add, Div, Mul, Rem, Sub};
+
+/// Verify that floats are within a tolerance of each other, 1.0e-6 by default.
+macro_rules! assert_approx_eq {
+    ($a:expr, $b:expr) => {{ assert_approx_eq!($a, $b, 1.0e-6) }};
+    ($a:expr, $b:expr, $lim:expr) => {{
+        let (a, b) = (&$a, &$b);
+        let diff = (*a - *b).abs();
+        assert!(
+            diff <= $lim,
+            "{a:?} is not approximately equal to {b:?} (threshold {lim:?}, difference {diff:?})",
+            lim = $lim
+        );
+    }};
+}
+
+/// Helper function for testing numeric operations
+pub fn test_num<T>(ten: T, two: T)
+where
+    T: PartialEq
+        + Add<Output = T>
+        + Sub<Output = T>
+        + Mul<Output = T>
+        + Div<Output = T>
+        + Rem<Output = T>
+        + fmt::Debug
+        + Copy,
+{
+    assert_eq!(ten.add(two), ten + two);
+    assert_eq!(ten.sub(two), ten - two);
+    assert_eq!(ten.mul(two), ten * two);
+    assert_eq!(ten.div(two), ten / two);
+    assert_eq!(ten.rem(two), ten % two);
+}
+
+mod f128;
+mod f16;
+mod f32;
+mod f64;
diff --git a/library/coretests/tests/lib.rs b/library/coretests/tests/lib.rs
index 0575375cf4f..b98e52718f6 100644
--- a/library/coretests/tests/lib.rs
+++ b/library/coretests/tests/lib.rs
@@ -12,10 +12,12 @@
 #![feature(async_iterator)]
 #![feature(bigint_helper_methods)]
 #![feature(bstr)]
+#![feature(cfg_target_has_reliable_f16_f128)]
 #![feature(char_max_len)]
 #![feature(clone_to_uninit)]
 #![feature(const_eval_select)]
 #![feature(const_trait_impl)]
+#![feature(core_float_math)]
 #![feature(core_intrinsics)]
 #![feature(core_intrinsics_fallbacks)]
 #![feature(core_io_borrowed_buf)]
@@ -29,6 +31,10 @@
 #![feature(exact_size_is_empty)]
 #![feature(extend_one)]
 #![feature(extern_types)]
+#![feature(f128)]
+#![feature(f16)]
+#![feature(float_algebraic)]
+#![feature(float_gamma)]
 #![feature(float_minimum_maximum)]
 #![feature(flt2dec)]
 #![feature(fmt_internals)]
@@ -144,6 +150,7 @@ mod cmp;
 mod const_ptr;
 mod convert;
 mod ffi;
+mod floats;
 mod fmt;
 mod future;
 mod hash;
diff --git a/library/panic_abort/Cargo.toml b/library/panic_abort/Cargo.toml
index 6f43ac4809a..d7d169671f0 100644
--- a/library/panic_abort/Cargo.toml
+++ b/library/panic_abort/Cargo.toml
@@ -12,10 +12,11 @@ bench = false
 doc = false
 
 [dependencies]
-alloc = { path = "../alloc" }
-cfg-if = { version = "1.0", features = ['rustc-dep-of-std'] }
 core = { path = "../core" }
 compiler_builtins = "0.1.0"
 
-[target.'cfg(not(all(windows, target_env = "msvc")))'.dependencies]
+[target.'cfg(target_os = "android")'.dependencies]
 libc = { version = "0.2", default-features = false }
+
+[target.'cfg(any(target_os = "android", target_os = "zkvm"))'.dependencies]
+alloc = { path = "../alloc" }
diff --git a/library/panic_abort/src/lib.rs b/library/panic_abort/src/lib.rs
index b2ad0f4ac3d..d1706b65252 100644
--- a/library/panic_abort/src/lib.rs
+++ b/library/panic_abort/src/lib.rs
@@ -7,15 +7,11 @@
 #![unstable(feature = "panic_abort", issue = "32837")]
 #![doc(issue_tracker_base_url = "https://github.com/rust-lang/rust/issues/")]
 #![panic_runtime]
-#![allow(unused_features)]
-#![feature(asm_experimental_arch)]
-#![feature(core_intrinsics)]
 #![feature(panic_runtime)]
 #![feature(std_internals)]
 #![feature(staged_api)]
 #![feature(rustc_attrs)]
 #![allow(internal_features)]
-#![deny(unsafe_op_in_unsafe_fn)]
 
 #[cfg(target_os = "android")]
 mod android;
@@ -45,75 +41,13 @@ pub unsafe fn __rust_start_panic(_payload: &mut dyn PanicPayload) -> u32 {
         zkvm::zkvm_set_abort_message(_payload);
     }
 
-    unsafe {
-        abort();
+    unsafe extern "Rust" {
+        // This is defined in std::rt.
+        #[rustc_std_internal_symbol]
+        safe fn __rust_abort() -> !;
     }
 
-    cfg_if::cfg_if! {
-        if #[cfg(any(unix, target_os = "solid_asp3"))] {
-            unsafe fn abort() -> ! {
-                unsafe { libc::abort(); }
-            }
-        } else if #[cfg(any(target_os = "hermit",
-                            all(target_vendor = "fortanix", target_env = "sgx"),
-                            target_os = "xous",
-                            target_os = "uefi",
-        ))] {
-            unsafe fn abort() -> ! {
-                // call std::sys::abort_internal
-                unsafe extern "C" {
-                    pub fn __rust_abort() -> !;
-                }
-                unsafe { __rust_abort(); }
-            }
-        } else if #[cfg(all(windows, not(miri)))] {
-            // On Windows, use the processor-specific __fastfail mechanism. In Windows 8
-            // and later, this will terminate the process immediately without running any
-            // in-process exception handlers. In earlier versions of Windows, this
-            // sequence of instructions will be treated as an access violation,
-            // terminating the process but without necessarily bypassing all exception
-            // handlers.
-            //
-            // https://docs.microsoft.com/en-us/cpp/intrinsics/fastfail
-            //
-            // Note: this is the same implementation as in std's `abort_internal`
-            unsafe fn abort() -> ! {
-                #[allow(unused)]
-                const FAST_FAIL_FATAL_APP_EXIT: usize = 7;
-                cfg_if::cfg_if! {
-                    if #[cfg(any(target_arch = "x86", target_arch = "x86_64"))] {
-                        unsafe {
-                            core::arch::asm!("int $$0x29", in("ecx") FAST_FAIL_FATAL_APP_EXIT, options(noreturn, nostack));
-                        }
-                    } else if #[cfg(all(target_arch = "arm", target_feature = "thumb-mode"))] {
-                        unsafe {
-                            core::arch::asm!(".inst 0xDEFB", in("r0") FAST_FAIL_FATAL_APP_EXIT, options(noreturn, nostack));
-                        }
-                    } else if #[cfg(any(target_arch = "aarch64", target_arch = "arm64ec"))] {
-                        unsafe {
-                            core::arch::asm!("brk 0xF003", in("x0") FAST_FAIL_FATAL_APP_EXIT, options(noreturn, nostack));
-                        }
-                    } else {
-                        core::intrinsics::abort();
-                    }
-                }
-            }
-        } else if #[cfg(target_os = "teeos")] {
-            mod teeos {
-                unsafe extern "C" {
-                    pub fn TEE_Panic(code: u32) -> !;
-                }
-            }
-
-            unsafe fn abort() -> ! {
-                unsafe { teeos::TEE_Panic(1); }
-            }
-        } else {
-            unsafe fn abort() -> ! {
-                core::intrinsics::abort();
-            }
-        }
-    }
+    __rust_abort()
 }
 
 // This... is a bit of an oddity. The tl;dr; is that this is required to link
diff --git a/library/panic_unwind/src/hermit.rs b/library/panic_unwind/src/hermit.rs
index 8f4562d07fc..b36d1a019fd 100644
--- a/library/panic_unwind/src/hermit.rs
+++ b/library/panic_unwind/src/hermit.rs
@@ -5,20 +5,16 @@
 use alloc::boxed::Box;
 use core::any::Any;
 
+unsafe extern "Rust" {
+    // This is defined in std::rt
+    #[rustc_std_internal_symbol]
+    safe fn __rust_abort() -> !;
+}
+
 pub(crate) unsafe fn cleanup(_ptr: *mut u8) -> Box<dyn Any + Send> {
-    unsafe extern "C" {
-        fn __rust_abort() -> !;
-    }
-    unsafe {
-        __rust_abort();
-    }
+    __rust_abort()
 }
 
 pub(crate) unsafe fn panic(_data: Box<dyn Any + Send>) -> u32 {
-    unsafe extern "C" {
-        fn __rust_abort() -> !;
-    }
-    unsafe {
-        __rust_abort();
-    }
+    __rust_abort()
 }
diff --git a/library/std/src/f128.rs b/library/std/src/f128.rs
index 6b2ba2e714c..bb4acde4822 100644
--- a/library/std/src/f128.rs
+++ b/library/std/src/f128.rs
@@ -14,365 +14,6 @@ use crate::sys::cmath;
 
 #[cfg(not(test))]
 impl f128 {
-    /// Returns the largest integer less than or equal to `self`.
-    ///
-    /// This function always returns the precise result.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f128)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f128_math)] {
-    ///
-    /// let f = 3.7_f128;
-    /// let g = 3.0_f128;
-    /// let h = -3.7_f128;
-    ///
-    /// assert_eq!(f.floor(), 3.0);
-    /// assert_eq!(g.floor(), 3.0);
-    /// assert_eq!(h.floor(), -4.0);
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f128", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn floor(self) -> f128 {
-        unsafe { intrinsics::floorf128(self) }
-    }
-
-    /// Returns the smallest integer greater than or equal to `self`.
-    ///
-    /// This function always returns the precise result.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f128)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f128_math)] {
-    ///
-    /// let f = 3.01_f128;
-    /// let g = 4.0_f128;
-    ///
-    /// assert_eq!(f.ceil(), 4.0);
-    /// assert_eq!(g.ceil(), 4.0);
-    /// # }
-    /// ```
-    #[inline]
-    #[doc(alias = "ceiling")]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f128", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn ceil(self) -> f128 {
-        unsafe { intrinsics::ceilf128(self) }
-    }
-
-    /// Returns the nearest integer to `self`. If a value is half-way between two
-    /// integers, round away from `0.0`.
-    ///
-    /// This function always returns the precise result.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f128)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f128_math)] {
-    ///
-    /// let f = 3.3_f128;
-    /// let g = -3.3_f128;
-    /// let h = -3.7_f128;
-    /// let i = 3.5_f128;
-    /// let j = 4.5_f128;
-    ///
-    /// assert_eq!(f.round(), 3.0);
-    /// assert_eq!(g.round(), -3.0);
-    /// assert_eq!(h.round(), -4.0);
-    /// assert_eq!(i.round(), 4.0);
-    /// assert_eq!(j.round(), 5.0);
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f128", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn round(self) -> f128 {
-        unsafe { intrinsics::roundf128(self) }
-    }
-
-    /// Returns the nearest integer to a number. Rounds half-way cases to the number
-    /// with an even least significant digit.
-    ///
-    /// This function always returns the precise result.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f128)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f128_math)] {
-    ///
-    /// let f = 3.3_f128;
-    /// let g = -3.3_f128;
-    /// let h = 3.5_f128;
-    /// let i = 4.5_f128;
-    ///
-    /// assert_eq!(f.round_ties_even(), 3.0);
-    /// assert_eq!(g.round_ties_even(), -3.0);
-    /// assert_eq!(h.round_ties_even(), 4.0);
-    /// assert_eq!(i.round_ties_even(), 4.0);
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f128", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn round_ties_even(self) -> f128 {
-        intrinsics::round_ties_even_f128(self)
-    }
-
-    /// Returns the integer part of `self`.
-    /// This means that non-integer numbers are always truncated towards zero.
-    ///
-    /// This function always returns the precise result.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f128)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f128_math)] {
-    ///
-    /// let f = 3.7_f128;
-    /// let g = 3.0_f128;
-    /// let h = -3.7_f128;
-    ///
-    /// assert_eq!(f.trunc(), 3.0);
-    /// assert_eq!(g.trunc(), 3.0);
-    /// assert_eq!(h.trunc(), -3.0);
-    /// # }
-    /// ```
-    #[inline]
-    #[doc(alias = "truncate")]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f128", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn trunc(self) -> f128 {
-        unsafe { intrinsics::truncf128(self) }
-    }
-
-    /// Returns the fractional part of `self`.
-    ///
-    /// This function always returns the precise result.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f128)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f128_math)] {
-    ///
-    /// let x = 3.6_f128;
-    /// let y = -3.6_f128;
-    /// let abs_difference_x = (x.fract() - 0.6).abs();
-    /// let abs_difference_y = (y.fract() - (-0.6)).abs();
-    ///
-    /// assert!(abs_difference_x <= f128::EPSILON);
-    /// assert!(abs_difference_y <= f128::EPSILON);
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f128", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn fract(self) -> f128 {
-        self - self.trunc()
-    }
-
-    /// 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` *may* be more performant than an unfused multiply-add if
-    /// the target architecture has a dedicated `fma` CPU instruction. However,
-    /// this is not always true, and will be heavily dependant on designing
-    /// algorithms with specific target hardware in mind.
-    ///
-    /// # Precision
-    ///
-    /// The result of this operation is guaranteed to be the rounded
-    /// infinite-precision result. It is specified by IEEE 754 as
-    /// `fusedMultiplyAdd` and guaranteed not to change.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f128)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f128_math)] {
-    ///
-    /// let m = 10.0_f128;
-    /// let x = 4.0_f128;
-    /// let b = 60.0_f128;
-    ///
-    /// assert_eq!(m.mul_add(x, b), 100.0);
-    /// assert_eq!(m * x + b, 100.0);
-    ///
-    /// let one_plus_eps = 1.0_f128 + f128::EPSILON;
-    /// let one_minus_eps = 1.0_f128 - f128::EPSILON;
-    /// let minus_one = -1.0_f128;
-    ///
-    /// // The exact result (1 + eps) * (1 - eps) = 1 - eps * eps.
-    /// assert_eq!(one_plus_eps.mul_add(one_minus_eps, minus_one), -f128::EPSILON * f128::EPSILON);
-    /// // Different rounding with the non-fused multiply and add.
-    /// assert_eq!(one_plus_eps * one_minus_eps + minus_one, 0.0);
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[doc(alias = "fmaf128", alias = "fusedMultiplyAdd")]
-    #[unstable(feature = "f128", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn mul_add(self, a: f128, b: f128) -> f128 {
-        unsafe { intrinsics::fmaf128(self, a, b) }
-    }
-
-    /// Calculates Euclidean division, the matching method for `rem_euclid`.
-    ///
-    /// This computes the integer `n` such that
-    /// `self = n * rhs + self.rem_euclid(rhs)`.
-    /// In other words, the result is `self / rhs` rounded to the integer `n`
-    /// such that `self >= n * rhs`.
-    ///
-    /// # Precision
-    ///
-    /// The result of this operation is guaranteed to be the rounded
-    /// infinite-precision result.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f128)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f128_math)] {
-    ///
-    /// let a: f128 = 7.0;
-    /// let b = 4.0;
-    /// assert_eq!(a.div_euclid(b), 1.0); // 7.0 > 4.0 * 1.0
-    /// assert_eq!((-a).div_euclid(b), -2.0); // -7.0 >= 4.0 * -2.0
-    /// assert_eq!(a.div_euclid(-b), -1.0); // 7.0 >= -4.0 * -1.0
-    /// assert_eq!((-a).div_euclid(-b), 2.0); // -7.0 >= -4.0 * 2.0
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f128", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn div_euclid(self, rhs: f128) -> f128 {
-        let q = (self / rhs).trunc();
-        if self % rhs < 0.0 {
-            return if rhs > 0.0 { q - 1.0 } else { q + 1.0 };
-        }
-        q
-    }
-
-    /// Calculates the least nonnegative remainder of `self (mod rhs)`.
-    ///
-    /// In particular, the return value `r` satisfies `0.0 <= r < rhs.abs()` in
-    /// most cases. However, due to a floating point round-off error it can
-    /// result in `r == rhs.abs()`, violating the mathematical definition, if
-    /// `self` is much smaller than `rhs.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(rhs) * rhs + self.rem_euclid(rhs)`
-    /// approximately.
-    ///
-    /// # Precision
-    ///
-    /// The result of this operation is guaranteed to be the rounded
-    /// infinite-precision result.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f128)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f128_math)] {
-    ///
-    /// let a: f128 = 7.0;
-    /// let b = 4.0;
-    /// assert_eq!(a.rem_euclid(b), 3.0);
-    /// assert_eq!((-a).rem_euclid(b), 1.0);
-    /// assert_eq!(a.rem_euclid(-b), 3.0);
-    /// assert_eq!((-a).rem_euclid(-b), 1.0);
-    /// // limitation due to round-off error
-    /// assert!((-f128::EPSILON).rem_euclid(3.0) != 0.0);
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[doc(alias = "modulo", alias = "mod")]
-    #[unstable(feature = "f128", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn rem_euclid(self, rhs: f128) -> f128 {
-        let r = self % rhs;
-        if r < 0.0 { r + rhs.abs() } else { r }
-    }
-
-    /// Raises a number to an integer power.
-    ///
-    /// Using this function is generally faster than using `powf`.
-    /// It might have a different sequence of rounding operations than `powf`,
-    /// so the results are not guaranteed to agree.
-    ///
-    /// # Unspecified precision
-    ///
-    /// The precision of this function is non-deterministic. This means it varies by platform,
-    /// Rust version, and can even differ within the same execution from one invocation to the next.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f128)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f128_math)] {
-    ///
-    /// let x = 2.0_f128;
-    /// let abs_difference = (x.powi(2) - (x * x)).abs();
-    /// assert!(abs_difference <= f128::EPSILON);
-    ///
-    /// assert_eq!(f128::powi(f128::NAN, 0), 1.0);
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f128", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn powi(self, n: i32) -> f128 {
-        unsafe { intrinsics::powif128(self, n) }
-    }
-
     /// Raises a number to a floating point power.
     ///
     /// # Unspecified precision
@@ -405,43 +46,6 @@ impl f128 {
         unsafe { intrinsics::powf128(self, n) }
     }
 
-    /// Returns the square root of a number.
-    ///
-    /// Returns NaN if `self` is a negative number other than `-0.0`.
-    ///
-    /// # Precision
-    ///
-    /// The result of this operation is guaranteed to be the rounded
-    /// infinite-precision result. It is specified by IEEE 754 as `squareRoot`
-    /// and guaranteed not to change.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f128)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f128_math)] {
-    ///
-    /// let positive = 4.0_f128;
-    /// let negative = -4.0_f128;
-    /// let negative_zero = -0.0_f128;
-    ///
-    /// assert_eq!(positive.sqrt(), 2.0);
-    /// assert!(negative.sqrt().is_nan());
-    /// assert!(negative_zero.sqrt() == negative_zero);
-    /// # }
-    /// ```
-    #[inline]
-    #[doc(alias = "squareRoot")]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f128", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn sqrt(self) -> f128 {
-        unsafe { intrinsics::sqrtf128(self) }
-    }
-
     /// Returns `e^(self)`, (the exponential function).
     ///
     /// # Unspecified precision
diff --git a/library/std/src/f16.rs b/library/std/src/f16.rs
index d6bc1d3118a..4792eac1f9e 100644
--- a/library/std/src/f16.rs
+++ b/library/std/src/f16.rs
@@ -14,365 +14,6 @@ use crate::sys::cmath;
 
 #[cfg(not(test))]
 impl f16 {
-    /// Returns the largest integer less than or equal to `self`.
-    ///
-    /// This function always returns the precise result.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f16)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f16_math)] {
-    ///
-    /// let f = 3.7_f16;
-    /// let g = 3.0_f16;
-    /// let h = -3.7_f16;
-    ///
-    /// assert_eq!(f.floor(), 3.0);
-    /// assert_eq!(g.floor(), 3.0);
-    /// assert_eq!(h.floor(), -4.0);
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f16", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn floor(self) -> f16 {
-        unsafe { intrinsics::floorf16(self) }
-    }
-
-    /// Returns the smallest integer greater than or equal to `self`.
-    ///
-    /// This function always returns the precise result.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f16)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f16_math)] {
-    ///
-    /// let f = 3.01_f16;
-    /// let g = 4.0_f16;
-    ///
-    /// assert_eq!(f.ceil(), 4.0);
-    /// assert_eq!(g.ceil(), 4.0);
-    /// # }
-    /// ```
-    #[inline]
-    #[doc(alias = "ceiling")]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f16", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn ceil(self) -> f16 {
-        unsafe { intrinsics::ceilf16(self) }
-    }
-
-    /// Returns the nearest integer to `self`. If a value is half-way between two
-    /// integers, round away from `0.0`.
-    ///
-    /// This function always returns the precise result.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f16)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f16_math)] {
-    ///
-    /// let f = 3.3_f16;
-    /// let g = -3.3_f16;
-    /// let h = -3.7_f16;
-    /// let i = 3.5_f16;
-    /// let j = 4.5_f16;
-    ///
-    /// assert_eq!(f.round(), 3.0);
-    /// assert_eq!(g.round(), -3.0);
-    /// assert_eq!(h.round(), -4.0);
-    /// assert_eq!(i.round(), 4.0);
-    /// assert_eq!(j.round(), 5.0);
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f16", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn round(self) -> f16 {
-        unsafe { intrinsics::roundf16(self) }
-    }
-
-    /// Returns the nearest integer to a number. Rounds half-way cases to the number
-    /// with an even least significant digit.
-    ///
-    /// This function always returns the precise result.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f16)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f16_math)] {
-    ///
-    /// let f = 3.3_f16;
-    /// let g = -3.3_f16;
-    /// let h = 3.5_f16;
-    /// let i = 4.5_f16;
-    ///
-    /// assert_eq!(f.round_ties_even(), 3.0);
-    /// assert_eq!(g.round_ties_even(), -3.0);
-    /// assert_eq!(h.round_ties_even(), 4.0);
-    /// assert_eq!(i.round_ties_even(), 4.0);
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f16", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn round_ties_even(self) -> f16 {
-        intrinsics::round_ties_even_f16(self)
-    }
-
-    /// Returns the integer part of `self`.
-    /// This means that non-integer numbers are always truncated towards zero.
-    ///
-    /// This function always returns the precise result.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f16)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f16_math)] {
-    ///
-    /// let f = 3.7_f16;
-    /// let g = 3.0_f16;
-    /// let h = -3.7_f16;
-    ///
-    /// assert_eq!(f.trunc(), 3.0);
-    /// assert_eq!(g.trunc(), 3.0);
-    /// assert_eq!(h.trunc(), -3.0);
-    /// # }
-    /// ```
-    #[inline]
-    #[doc(alias = "truncate")]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f16", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn trunc(self) -> f16 {
-        unsafe { intrinsics::truncf16(self) }
-    }
-
-    /// Returns the fractional part of `self`.
-    ///
-    /// This function always returns the precise result.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f16)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f16_math)] {
-    ///
-    /// let x = 3.6_f16;
-    /// let y = -3.6_f16;
-    /// let abs_difference_x = (x.fract() - 0.6).abs();
-    /// let abs_difference_y = (y.fract() - (-0.6)).abs();
-    ///
-    /// assert!(abs_difference_x <= f16::EPSILON);
-    /// assert!(abs_difference_y <= f16::EPSILON);
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f16", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn fract(self) -> f16 {
-        self - self.trunc()
-    }
-
-    /// 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` *may* be more performant than an unfused multiply-add if
-    /// the target architecture has a dedicated `fma` CPU instruction. However,
-    /// this is not always true, and will be heavily dependant on designing
-    /// algorithms with specific target hardware in mind.
-    ///
-    /// # Precision
-    ///
-    /// The result of this operation is guaranteed to be the rounded
-    /// infinite-precision result. It is specified by IEEE 754 as
-    /// `fusedMultiplyAdd` and guaranteed not to change.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f16)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f16_math)] {
-    ///
-    /// let m = 10.0_f16;
-    /// let x = 4.0_f16;
-    /// let b = 60.0_f16;
-    ///
-    /// assert_eq!(m.mul_add(x, b), 100.0);
-    /// assert_eq!(m * x + b, 100.0);
-    ///
-    /// let one_plus_eps = 1.0_f16 + f16::EPSILON;
-    /// let one_minus_eps = 1.0_f16 - f16::EPSILON;
-    /// let minus_one = -1.0_f16;
-    ///
-    /// // The exact result (1 + eps) * (1 - eps) = 1 - eps * eps.
-    /// assert_eq!(one_plus_eps.mul_add(one_minus_eps, minus_one), -f16::EPSILON * f16::EPSILON);
-    /// // Different rounding with the non-fused multiply and add.
-    /// assert_eq!(one_plus_eps * one_minus_eps + minus_one, 0.0);
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f16", issue = "116909")]
-    #[doc(alias = "fmaf16", alias = "fusedMultiplyAdd")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn mul_add(self, a: f16, b: f16) -> f16 {
-        unsafe { intrinsics::fmaf16(self, a, b) }
-    }
-
-    /// Calculates Euclidean division, the matching method for `rem_euclid`.
-    ///
-    /// This computes the integer `n` such that
-    /// `self = n * rhs + self.rem_euclid(rhs)`.
-    /// In other words, the result is `self / rhs` rounded to the integer `n`
-    /// such that `self >= n * rhs`.
-    ///
-    /// # Precision
-    ///
-    /// The result of this operation is guaranteed to be the rounded
-    /// infinite-precision result.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f16)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f16_math)] {
-    ///
-    /// let a: f16 = 7.0;
-    /// let b = 4.0;
-    /// assert_eq!(a.div_euclid(b), 1.0); // 7.0 > 4.0 * 1.0
-    /// assert_eq!((-a).div_euclid(b), -2.0); // -7.0 >= 4.0 * -2.0
-    /// assert_eq!(a.div_euclid(-b), -1.0); // 7.0 >= -4.0 * -1.0
-    /// assert_eq!((-a).div_euclid(-b), 2.0); // -7.0 >= -4.0 * 2.0
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f16", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn div_euclid(self, rhs: f16) -> f16 {
-        let q = (self / rhs).trunc();
-        if self % rhs < 0.0 {
-            return if rhs > 0.0 { q - 1.0 } else { q + 1.0 };
-        }
-        q
-    }
-
-    /// Calculates the least nonnegative remainder of `self (mod rhs)`.
-    ///
-    /// In particular, the return value `r` satisfies `0.0 <= r < rhs.abs()` in
-    /// most cases. However, due to a floating point round-off error it can
-    /// result in `r == rhs.abs()`, violating the mathematical definition, if
-    /// `self` is much smaller than `rhs.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(rhs) * rhs + self.rem_euclid(rhs)`
-    /// approximately.
-    ///
-    /// # Precision
-    ///
-    /// The result of this operation is guaranteed to be the rounded
-    /// infinite-precision result.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f16)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f16_math)] {
-    ///
-    /// let a: f16 = 7.0;
-    /// let b = 4.0;
-    /// assert_eq!(a.rem_euclid(b), 3.0);
-    /// assert_eq!((-a).rem_euclid(b), 1.0);
-    /// assert_eq!(a.rem_euclid(-b), 3.0);
-    /// assert_eq!((-a).rem_euclid(-b), 1.0);
-    /// // limitation due to round-off error
-    /// assert!((-f16::EPSILON).rem_euclid(3.0) != 0.0);
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[doc(alias = "modulo", alias = "mod")]
-    #[unstable(feature = "f16", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn rem_euclid(self, rhs: f16) -> f16 {
-        let r = self % rhs;
-        if r < 0.0 { r + rhs.abs() } else { r }
-    }
-
-    /// Raises a number to an integer power.
-    ///
-    /// Using this function is generally faster than using `powf`.
-    /// It might have a different sequence of rounding operations than `powf`,
-    /// so the results are not guaranteed to agree.
-    ///
-    /// # Unspecified precision
-    ///
-    /// The precision of this function is non-deterministic. This means it varies by platform,
-    /// Rust version, and can even differ within the same execution from one invocation to the next.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f16)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f16_math)] {
-    ///
-    /// let x = 2.0_f16;
-    /// let abs_difference = (x.powi(2) - (x * x)).abs();
-    /// assert!(abs_difference <= f16::EPSILON);
-    ///
-    /// assert_eq!(f16::powi(f16::NAN, 0), 1.0);
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f16", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn powi(self, n: i32) -> f16 {
-        unsafe { intrinsics::powif16(self, n) }
-    }
-
     /// Raises a number to a floating point power.
     ///
     /// # Unspecified precision
@@ -405,43 +46,6 @@ impl f16 {
         unsafe { intrinsics::powf16(self, n) }
     }
 
-    /// Returns the square root of a number.
-    ///
-    /// Returns NaN if `self` is a negative number other than `-0.0`.
-    ///
-    /// # Precision
-    ///
-    /// The result of this operation is guaranteed to be the rounded
-    /// infinite-precision result. It is specified by IEEE 754 as `squareRoot`
-    /// and guaranteed not to change.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f16)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f16_math)] {
-    ///
-    /// let positive = 4.0_f16;
-    /// let negative = -4.0_f16;
-    /// let negative_zero = -0.0_f16;
-    ///
-    /// assert_eq!(positive.sqrt(), 2.0);
-    /// assert!(negative.sqrt().is_nan());
-    /// assert!(negative_zero.sqrt() == negative_zero);
-    /// # }
-    /// ```
-    #[inline]
-    #[doc(alias = "squareRoot")]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f16", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn sqrt(self) -> f16 {
-        unsafe { intrinsics::sqrtf16(self) }
-    }
-
     /// Returns `e^(self)`, (the exponential function).
     ///
     /// # Unspecified precision
@@ -702,41 +306,6 @@ impl f16 {
         unsafe { intrinsics::log10f16(self) }
     }
 
-    /// Returns the cube root of a number.
-    ///
-    /// # Unspecified precision
-    ///
-    /// The precision of this function is non-deterministic. This means it varies by platform,
-    /// Rust version, and can even differ within the same execution from one invocation to the next.
-    ///
-    /// This function currently corresponds to the `cbrtf` from libc on Unix
-    /// and Windows. Note that this might change in the future.
-    ///
-    /// # Examples
-    ///
-    /// ```
-    /// #![feature(f16)]
-    /// # #![feature(cfg_target_has_reliable_f16_f128)]
-    /// # #![expect(internal_features)]
-    /// # #[cfg(not(miri))]
-    /// # #[cfg(target_has_reliable_f16_math)] {
-    ///
-    /// let x = 8.0f16;
-    ///
-    /// // x^(1/3) - 2 == 0
-    /// let abs_difference = (x.cbrt() - 2.0).abs();
-    ///
-    /// assert!(abs_difference <= f16::EPSILON);
-    /// # }
-    /// ```
-    #[inline]
-    #[rustc_allow_incoherent_impl]
-    #[unstable(feature = "f16", issue = "116909")]
-    #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn cbrt(self) -> f16 {
-        cmath::cbrtf(self as f32) as f16
-    }
-
     /// Compute the distance between the origin and a point (`x`, `y`) on the
     /// Euclidean plane. Equivalently, compute the length of the hypotenuse of a
     /// right-angle triangle with other sides having length `x.abs()` and
diff --git a/library/std/src/f32.rs b/library/std/src/f32.rs
index baf7002f380..94140d01d8b 100644
--- a/library/std/src/f32.rs
+++ b/library/std/src/f32.rs
@@ -46,7 +46,7 @@ impl f32 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn floor(self) -> f32 {
-        unsafe { intrinsics::floorf32(self) }
+        core::f32::floor(self)
     }
 
     /// Returns the smallest integer greater than or equal to `self`.
@@ -68,7 +68,7 @@ impl f32 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn ceil(self) -> f32 {
-        unsafe { intrinsics::ceilf32(self) }
+        core::f32::ceil(self)
     }
 
     /// Returns the nearest integer to `self`. If a value is half-way between two
@@ -96,7 +96,7 @@ impl f32 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn round(self) -> f32 {
-        unsafe { intrinsics::roundf32(self) }
+        core::f32::round(self)
     }
 
     /// Returns the nearest integer to a number. Rounds half-way cases to the number
@@ -122,7 +122,7 @@ impl f32 {
     #[stable(feature = "round_ties_even", since = "1.77.0")]
     #[inline]
     pub fn round_ties_even(self) -> f32 {
-        intrinsics::round_ties_even_f32(self)
+        core::f32::round_ties_even(self)
     }
 
     /// Returns the integer part of `self`.
@@ -147,7 +147,7 @@ impl f32 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn trunc(self) -> f32 {
-        unsafe { intrinsics::truncf32(self) }
+        core::f32::trunc(self)
     }
 
     /// Returns the fractional part of `self`.
@@ -170,7 +170,7 @@ impl f32 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn fract(self) -> f32 {
-        self - self.trunc()
+        core::f32::fract(self)
     }
 
     /// Fused multiply-add. Computes `(self * a) + b` with only one rounding
@@ -212,7 +212,7 @@ impl f32 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn mul_add(self, a: f32, b: f32) -> f32 {
-        unsafe { intrinsics::fmaf32(self, a, b) }
+        core::f32::mul_add(self, a, b)
     }
 
     /// Calculates Euclidean division, the matching method for `rem_euclid`.
@@ -242,11 +242,7 @@ impl f32 {
     #[inline]
     #[stable(feature = "euclidean_division", since = "1.38.0")]
     pub fn div_euclid(self, rhs: f32) -> f32 {
-        let q = (self / rhs).trunc();
-        if self % rhs < 0.0 {
-            return if rhs > 0.0 { q - 1.0 } else { q + 1.0 };
-        }
-        q
+        core::f32::div_euclid(self, rhs)
     }
 
     /// Calculates the least nonnegative remainder of `self (mod rhs)`.
@@ -283,8 +279,7 @@ impl f32 {
     #[inline]
     #[stable(feature = "euclidean_division", since = "1.38.0")]
     pub fn rem_euclid(self, rhs: f32) -> f32 {
-        let r = self % rhs;
-        if r < 0.0 { r + rhs.abs() } else { r }
+        core::f32::rem_euclid(self, rhs)
     }
 
     /// Raises a number to an integer power.
@@ -312,7 +307,7 @@ impl f32 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn powi(self, n: i32) -> f32 {
-        unsafe { intrinsics::powif32(self, n) }
+        core::f32::powi(self, n)
     }
 
     /// Raises a number to a floating point power.
@@ -367,7 +362,7 @@ impl f32 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn sqrt(self) -> f32 {
-        unsafe { intrinsics::sqrtf32(self) }
+        core::f32::sqrt(self)
     }
 
     /// Returns `e^(self)`, (the exponential function).
@@ -599,7 +594,8 @@ impl f32 {
                 filing an issue describing your use-case too)."
     )]
     pub fn abs_sub(self, other: f32) -> f32 {
-        cmath::fdimf(self, other)
+        #[allow(deprecated)]
+        core::f32::abs_sub(self, other)
     }
 
     /// Returns the cube root of a number.
@@ -626,7 +622,7 @@ impl f32 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn cbrt(self) -> f32 {
-        cmath::cbrtf(self)
+        core::f32::cbrt(self)
     }
 
     /// Compute the distance between the origin and a point (`x`, `y`) on the
diff --git a/library/std/src/f64.rs b/library/std/src/f64.rs
index 84fd9bfb7b6..051061ae605 100644
--- a/library/std/src/f64.rs
+++ b/library/std/src/f64.rs
@@ -46,7 +46,7 @@ impl f64 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn floor(self) -> f64 {
-        unsafe { intrinsics::floorf64(self) }
+        core::f64::floor(self)
     }
 
     /// Returns the smallest integer greater than or equal to `self`.
@@ -68,7 +68,7 @@ impl f64 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn ceil(self) -> f64 {
-        unsafe { intrinsics::ceilf64(self) }
+        core::f64::ceil(self)
     }
 
     /// Returns the nearest integer to `self`. If a value is half-way between two
@@ -96,7 +96,7 @@ impl f64 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn round(self) -> f64 {
-        unsafe { intrinsics::roundf64(self) }
+        core::f64::round(self)
     }
 
     /// Returns the nearest integer to a number. Rounds half-way cases to the number
@@ -122,7 +122,7 @@ impl f64 {
     #[stable(feature = "round_ties_even", since = "1.77.0")]
     #[inline]
     pub fn round_ties_even(self) -> f64 {
-        intrinsics::round_ties_even_f64(self)
+        core::f64::round_ties_even(self)
     }
 
     /// Returns the integer part of `self`.
@@ -147,7 +147,7 @@ impl f64 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn trunc(self) -> f64 {
-        unsafe { intrinsics::truncf64(self) }
+        core::f64::trunc(self)
     }
 
     /// Returns the fractional part of `self`.
@@ -170,7 +170,7 @@ impl f64 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn fract(self) -> f64 {
-        self - self.trunc()
+        core::f64::fract(self)
     }
 
     /// Fused multiply-add. Computes `(self * a) + b` with only one rounding
@@ -212,7 +212,7 @@ impl f64 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn mul_add(self, a: f64, b: f64) -> f64 {
-        unsafe { intrinsics::fmaf64(self, a, b) }
+        core::f64::mul_add(self, a, b)
     }
 
     /// Calculates Euclidean division, the matching method for `rem_euclid`.
@@ -242,11 +242,7 @@ impl f64 {
     #[inline]
     #[stable(feature = "euclidean_division", since = "1.38.0")]
     pub fn div_euclid(self, rhs: f64) -> f64 {
-        let q = (self / rhs).trunc();
-        if self % rhs < 0.0 {
-            return if rhs > 0.0 { q - 1.0 } else { q + 1.0 };
-        }
-        q
+        core::f64::div_euclid(self, rhs)
     }
 
     /// Calculates the least nonnegative remainder of `self (mod rhs)`.
@@ -283,8 +279,7 @@ impl f64 {
     #[inline]
     #[stable(feature = "euclidean_division", since = "1.38.0")]
     pub fn rem_euclid(self, rhs: f64) -> f64 {
-        let r = self % rhs;
-        if r < 0.0 { r + rhs.abs() } else { r }
+        core::f64::rem_euclid(self, rhs)
     }
 
     /// Raises a number to an integer power.
@@ -312,7 +307,7 @@ impl f64 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn powi(self, n: i32) -> f64 {
-        unsafe { intrinsics::powif64(self, n) }
+        core::f64::powi(self, n)
     }
 
     /// Raises a number to a floating point power.
@@ -367,7 +362,7 @@ impl f64 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn sqrt(self) -> f64 {
-        unsafe { intrinsics::sqrtf64(self) }
+        core::f64::sqrt(self)
     }
 
     /// Returns `e^(self)`, (the exponential function).
@@ -599,7 +594,8 @@ impl f64 {
                 filing an issue describing your use-case too)."
     )]
     pub fn abs_sub(self, other: f64) -> f64 {
-        cmath::fdim(self, other)
+        #[allow(deprecated)]
+        core::f64::abs_sub(self, other)
     }
 
     /// Returns the cube root of a number.
@@ -626,7 +622,7 @@ impl f64 {
     #[stable(feature = "rust1", since = "1.0.0")]
     #[inline]
     pub fn cbrt(self) -> f64 {
-        cmath::cbrt(self)
+        core::f64::cbrt(self)
     }
 
     /// Compute the distance between the origin and a point (`x`, `y`) on the
diff --git a/library/std/src/lib.rs b/library/std/src/lib.rs
index 0bb40ee4b31..5c1d2deb481 100644
--- a/library/std/src/lib.rs
+++ b/library/std/src/lib.rs
@@ -287,6 +287,7 @@
 #![feature(cfi_encoding)]
 #![feature(char_max_len)]
 #![feature(concat_idents)]
+#![feature(core_float_math)]
 #![feature(decl_macro)]
 #![feature(deprecated_suggestion)]
 #![feature(doc_cfg)]
diff --git a/library/std/src/rt.rs b/library/std/src/rt.rs
index 9737b2f5bfe..b3f3b301e3d 100644
--- a/library/std/src/rt.rs
+++ b/library/std/src/rt.rs
@@ -26,6 +26,13 @@ use crate::sync::Once;
 use crate::thread::{self, main_thread};
 use crate::{mem, panic, sys};
 
+// This function is needed by the panic runtime.
+#[cfg(not(test))]
+#[rustc_std_internal_symbol]
+fn __rust_abort() {
+    crate::process::abort();
+}
+
 // Prints to the "panic output", depending on the platform this may be:
 // - the standard error output
 // - some dedicated platform specific output
@@ -47,7 +54,7 @@ macro_rules! rtabort {
     ($($t:tt)*) => {
         {
             rtprintpanic!("fatal runtime error: {}, aborting\n", format_args!($($t)*));
-            crate::sys::abort_internal();
+            crate::process::abort();
         }
     }
 }
diff --git a/library/std/src/sys/cmath.rs b/library/std/src/sys/cmath.rs
index 668fd928534..299ce1a6ff0 100644
--- a/library/std/src/sys/cmath.rs
+++ b/library/std/src/sys/cmath.rs
@@ -7,13 +7,9 @@ unsafe extern "C" {
     pub safe fn asin(n: f64) -> f64;
     pub safe fn atan(n: f64) -> f64;
     pub safe fn atan2(a: f64, b: f64) -> f64;
-    pub safe fn cbrt(n: f64) -> f64;
-    pub safe fn cbrtf(n: f32) -> f32;
     pub safe fn cosh(n: f64) -> f64;
     pub safe fn expm1(n: f64) -> f64;
     pub safe fn expm1f(n: f32) -> f32;
-    pub safe fn fdim(a: f64, b: f64) -> f64;
-    pub safe fn fdimf(a: f32, b: f32) -> f32;
     #[cfg_attr(target_env = "msvc", link_name = "_hypot")]
     pub safe fn hypot(x: f64, y: f64) -> f64;
     #[cfg_attr(target_env = "msvc", link_name = "_hypotf")]
diff --git a/library/std/src/sys/pal/hermit/mod.rs b/library/std/src/sys/pal/hermit/mod.rs
index ea636938d70..fb8d69b7375 100644
--- a/library/std/src/sys/pal/hermit/mod.rs
+++ b/library/std/src/sys/pal/hermit/mod.rs
@@ -43,15 +43,6 @@ pub fn abort_internal() -> ! {
     unsafe { hermit_abi::abort() }
 }
 
-// This function is needed by the panic runtime. The symbol is named in
-// pre-link args for the target specification, so keep that in sync.
-#[cfg(not(test))]
-#[unsafe(no_mangle)]
-// NB. used by both libunwind and libpanic_abort
-pub extern "C" fn __rust_abort() {
-    abort_internal();
-}
-
 // SAFETY: must be called only once during runtime initialization.
 // NOTE: this is not guaranteed to run, for example when Rust code is called externally.
 pub unsafe fn init(argc: isize, argv: *const *const u8, _sigpipe: u8) {
diff --git a/library/std/src/sys/pal/sgx/mod.rs b/library/std/src/sys/pal/sgx/mod.rs
index 3932f64c0ef..6e43a79ddec 100644
--- a/library/std/src/sys/pal/sgx/mod.rs
+++ b/library/std/src/sys/pal/sgx/mod.rs
@@ -112,11 +112,14 @@ pub fn abort_internal() -> ! {
     abi::usercalls::exit(true)
 }
 
-// This function is needed by the panic runtime. The symbol is named in
+// This function is needed by libunwind. The symbol is named in
 // pre-link args for the target specification, so keep that in sync.
+// Note: contrary to the `__rust_abort` in `crate::rt`, this uses `no_mangle`
+//       because it is actually used from C code. Because symbols annotated with
+//       #[rustc_std_internal_symbol] get mangled, this will not lead to linker
+//       conflicts.
 #[cfg(not(test))]
 #[unsafe(no_mangle)]
-// NB. used by both libunwind and libpanic_abort
 pub extern "C" fn __rust_abort() {
     abort_internal();
 }
diff --git a/library/std/src/sys/pal/uefi/mod.rs b/library/std/src/sys/pal/uefi/mod.rs
index 78fcfcb3b77..8911a2ee519 100644
--- a/library/std/src/sys/pal/uefi/mod.rs
+++ b/library/std/src/sys/pal/uefi/mod.rs
@@ -161,14 +161,6 @@ pub fn abort_internal() -> ! {
     core::intrinsics::abort();
 }
 
-// This function is needed by the panic runtime. The symbol is named in
-// pre-link args for the target specification, so keep that in sync.
-#[cfg(not(test))]
-#[unsafe(no_mangle)]
-pub extern "C" fn __rust_abort() {
-    abort_internal();
-}
-
 /// Disable access to BootServices if `EVT_SIGNAL_EXIT_BOOT_SERVICES` is signaled
 extern "efiapi" fn exit_boot_service_handler(_e: r_efi::efi::Event, _ctx: *mut crate::ffi::c_void) {
     uefi::env::disable_boot_services();
diff --git a/library/std/src/sys/pal/windows/mod.rs b/library/std/src/sys/pal/windows/mod.rs
index 4f18c4009ab..8f54e2376eb 100644
--- a/library/std/src/sys/pal/windows/mod.rs
+++ b/library/std/src/sys/pal/windows/mod.rs
@@ -328,8 +328,12 @@ pub fn dur2timeout(dur: Duration) -> u32 {
 
 /// Use `__fastfail` to abort the process
 ///
-/// This is the same implementation as in libpanic_abort's `__rust_start_panic`. See
-/// that function for more information on `__fastfail`
+/// In Windows 8 and later, this will terminate the process immediately without
+/// running any in-process exception handlers. In earlier versions of Windows,
+/// this sequence of instructions will be treated as an access violation, which
+/// will still terminate the process but might run some exception handlers.
+///
+/// https://docs.microsoft.com/en-us/cpp/intrinsics/fastfail
 #[cfg(not(miri))] // inline assembly does not work in Miri
 pub fn abort_internal() -> ! {
     unsafe {
diff --git a/library/std/src/sys/pal/xous/mod.rs b/library/std/src/sys/pal/xous/mod.rs
index 383d031ed43..042c4ff862f 100644
--- a/library/std/src/sys/pal/xous/mod.rs
+++ b/library/std/src/sys/pal/xous/mod.rs
@@ -1,5 +1,7 @@
 #![forbid(unsafe_op_in_unsafe_fn)]
 
+use crate::os::xous::ffi::exit;
+
 pub mod os;
 #[path = "../unsupported/pipe.rs"]
 pub mod pipe;
@@ -9,3 +11,7 @@ pub mod time;
 #[path = "../unsupported/common.rs"]
 mod common;
 pub use common::*;
+
+pub fn abort_internal() -> ! {
+    exit(101);
+}
diff --git a/library/std/src/sys/pal/xous/os.rs b/library/std/src/sys/pal/xous/os.rs
index 2230dabe096..d612a27d2bd 100644
--- a/library/std/src/sys/pal/xous/os.rs
+++ b/library/std/src/sys/pal/xous/os.rs
@@ -62,14 +62,6 @@ mod c_compat {
         }
         exit(unsafe { main() });
     }
-
-    // This function is needed by the panic runtime. The symbol is named in
-    // pre-link args for the target specification, so keep that in sync.
-    #[unsafe(no_mangle)]
-    // NB. used by both libunwind and libpanic_abort
-    pub extern "C" fn __rust_abort() -> ! {
-        exit(101);
-    }
 }
 
 pub fn errno() -> i32 {
diff --git a/library/std/tests/floats/f128.rs b/library/std/tests/floats/f128.rs
index c2618f3b315..e7c90faa05c 100644
--- a/library/std/tests/floats/f128.rs
+++ b/library/std/tests/floats/f128.rs
@@ -2,49 +2,26 @@
 #![cfg(target_has_reliable_f128)]
 
 use std::f128::consts;
-use std::num::FpCategory as Fp;
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
-use std::ops::Rem;
 use std::ops::{Add, Div, Mul, Sub};
 
 // Note these tolerances make sense around zero, but not for more extreme exponents.
 
-/// For operations that are near exact, usually not involving math of different
-/// signs.
-const TOL_PRECISE: f128 = 1e-28;
-
 /// Default tolerances. Works for values that should be near precise but not exact. Roughly
 /// the precision carried by `100 * 100`.
+#[cfg(not(miri))]
+#[cfg(target_has_reliable_f128_math)]
 const TOL: f128 = 1e-12;
 
+/// For operations that are near exact, usually not involving math of different
+/// signs.
+const TOL_PRECISE: f128 = 1e-28;
+
 /// Tolerances for math that is allowed to be imprecise, usually due to multiple chained
 /// operations.
 #[cfg(not(miri))]
 #[cfg(target_has_reliable_f128_math)]
 const TOL_IMPR: f128 = 1e-10;
 
-/// Smallest number
-const TINY_BITS: u128 = 0x1;
-
-/// Next smallest number
-const TINY_UP_BITS: u128 = 0x2;
-
-/// Exponent = 0b11...10, Sifnificand 0b1111..10. Min val > 0
-const MAX_DOWN_BITS: u128 = 0x7ffefffffffffffffffffffffffffffe;
-
-/// Zeroed exponent, full significant
-const LARGEST_SUBNORMAL_BITS: u128 = 0x0000ffffffffffffffffffffffffffff;
-
-/// Exponent = 0b1, zeroed significand
-const SMALLEST_NORMAL_BITS: u128 = 0x00010000000000000000000000000000;
-
-/// First pattern over the mantissa
-const NAN_MASK1: u128 = 0x0000aaaaaaaaaaaaaaaaaaaaaaaaaaaa;
-
-/// Second pattern over the mantissa
-const NAN_MASK2: u128 = 0x00005555555555555555555555555555;
-
 /// Compare by representation
 #[allow(unused_macros)]
 macro_rules! assert_f128_biteq {
@@ -68,459 +45,11 @@ fn test_num_f128() {
     assert_eq!(ten.div(two), ten / two);
 }
 
-// FIXME(f16_f128,miri): many of these have to be disabled since miri does not yet support
-// the intrinsics.
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
-fn test_num_f128_rem() {
-    let ten = 10f128;
-    let two = 2f128;
-    assert_eq!(ten.rem(two), ten % two);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
-fn test_min_nan() {
-    assert_eq!(f128::NAN.min(2.0), 2.0);
-    assert_eq!(2.0f128.min(f128::NAN), 2.0);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
-fn test_max_nan() {
-    assert_eq!(f128::NAN.max(2.0), 2.0);
-    assert_eq!(2.0f128.max(f128::NAN), 2.0);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
-fn test_minimum() {
-    assert!(f128::NAN.minimum(2.0).is_nan());
-    assert!(2.0f128.minimum(f128::NAN).is_nan());
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
-fn test_maximum() {
-    assert!(f128::NAN.maximum(2.0).is_nan());
-    assert!(2.0f128.maximum(f128::NAN).is_nan());
-}
-
-#[test]
-fn test_nan() {
-    let nan: f128 = f128::NAN;
-    assert!(nan.is_nan());
-    assert!(!nan.is_infinite());
-    assert!(!nan.is_finite());
-    assert!(nan.is_sign_positive());
-    assert!(!nan.is_sign_negative());
-    assert!(!nan.is_normal());
-    assert_eq!(Fp::Nan, nan.classify());
-    // Ensure the quiet bit is set.
-    assert!(nan.to_bits() & (1 << (f128::MANTISSA_DIGITS - 2)) != 0);
-}
-
-#[test]
-fn test_infinity() {
-    let inf: f128 = f128::INFINITY;
-    assert!(inf.is_infinite());
-    assert!(!inf.is_finite());
-    assert!(inf.is_sign_positive());
-    assert!(!inf.is_sign_negative());
-    assert!(!inf.is_nan());
-    assert!(!inf.is_normal());
-    assert_eq!(Fp::Infinite, inf.classify());
-}
-
-#[test]
-fn test_neg_infinity() {
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert!(neg_inf.is_infinite());
-    assert!(!neg_inf.is_finite());
-    assert!(!neg_inf.is_sign_positive());
-    assert!(neg_inf.is_sign_negative());
-    assert!(!neg_inf.is_nan());
-    assert!(!neg_inf.is_normal());
-    assert_eq!(Fp::Infinite, neg_inf.classify());
-}
-
-#[test]
-fn test_zero() {
-    let zero: f128 = 0.0f128;
-    assert_eq!(0.0, zero);
-    assert!(!zero.is_infinite());
-    assert!(zero.is_finite());
-    assert!(zero.is_sign_positive());
-    assert!(!zero.is_sign_negative());
-    assert!(!zero.is_nan());
-    assert!(!zero.is_normal());
-    assert_eq!(Fp::Zero, zero.classify());
-}
-
-#[test]
-fn test_neg_zero() {
-    let neg_zero: f128 = -0.0;
-    assert_eq!(0.0, neg_zero);
-    assert!(!neg_zero.is_infinite());
-    assert!(neg_zero.is_finite());
-    assert!(!neg_zero.is_sign_positive());
-    assert!(neg_zero.is_sign_negative());
-    assert!(!neg_zero.is_nan());
-    assert!(!neg_zero.is_normal());
-    assert_eq!(Fp::Zero, neg_zero.classify());
-}
-
-#[test]
-fn test_one() {
-    let one: f128 = 1.0f128;
-    assert_eq!(1.0, one);
-    assert!(!one.is_infinite());
-    assert!(one.is_finite());
-    assert!(one.is_sign_positive());
-    assert!(!one.is_sign_negative());
-    assert!(!one.is_nan());
-    assert!(one.is_normal());
-    assert_eq!(Fp::Normal, one.classify());
-}
-
-#[test]
-fn test_is_nan() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert!(nan.is_nan());
-    assert!(!0.0f128.is_nan());
-    assert!(!5.3f128.is_nan());
-    assert!(!(-10.732f128).is_nan());
-    assert!(!inf.is_nan());
-    assert!(!neg_inf.is_nan());
-}
-
-#[test]
-fn test_is_infinite() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert!(!nan.is_infinite());
-    assert!(inf.is_infinite());
-    assert!(neg_inf.is_infinite());
-    assert!(!0.0f128.is_infinite());
-    assert!(!42.8f128.is_infinite());
-    assert!(!(-109.2f128).is_infinite());
-}
-
-#[test]
-fn test_is_finite() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert!(!nan.is_finite());
-    assert!(!inf.is_finite());
-    assert!(!neg_inf.is_finite());
-    assert!(0.0f128.is_finite());
-    assert!(42.8f128.is_finite());
-    assert!((-109.2f128).is_finite());
-}
-
-#[test]
-fn test_is_normal() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    let zero: f128 = 0.0f128;
-    let neg_zero: f128 = -0.0;
-    assert!(!nan.is_normal());
-    assert!(!inf.is_normal());
-    assert!(!neg_inf.is_normal());
-    assert!(!zero.is_normal());
-    assert!(!neg_zero.is_normal());
-    assert!(1f128.is_normal());
-    assert!(1e-4931f128.is_normal());
-    assert!(!1e-4932f128.is_normal());
-}
-
-#[test]
-fn test_classify() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    let zero: f128 = 0.0f128;
-    let neg_zero: f128 = -0.0;
-    assert_eq!(nan.classify(), Fp::Nan);
-    assert_eq!(inf.classify(), Fp::Infinite);
-    assert_eq!(neg_inf.classify(), Fp::Infinite);
-    assert_eq!(zero.classify(), Fp::Zero);
-    assert_eq!(neg_zero.classify(), Fp::Zero);
-    assert_eq!(1f128.classify(), Fp::Normal);
-    assert_eq!(1e-4931f128.classify(), Fp::Normal);
-    assert_eq!(1e-4932f128.classify(), Fp::Subnormal);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
-fn test_floor() {
-    assert_approx_eq!(1.0f128.floor(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.3f128.floor(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.5f128.floor(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.7f128.floor(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(0.0f128.floor(), 0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-0.0f128).floor(), -0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.0f128).floor(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.3f128).floor(), -2.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.5f128).floor(), -2.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.7f128).floor(), -2.0f128, TOL_PRECISE);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
-fn test_ceil() {
-    assert_approx_eq!(1.0f128.ceil(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.3f128.ceil(), 2.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.5f128.ceil(), 2.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.7f128.ceil(), 2.0f128, TOL_PRECISE);
-    assert_approx_eq!(0.0f128.ceil(), 0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-0.0f128).ceil(), -0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.0f128).ceil(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.3f128).ceil(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.5f128).ceil(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.7f128).ceil(), -1.0f128, TOL_PRECISE);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
-fn test_round() {
-    assert_approx_eq!(2.5f128.round(), 3.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.0f128.round(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.3f128.round(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.5f128.round(), 2.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.7f128.round(), 2.0f128, TOL_PRECISE);
-    assert_approx_eq!(0.0f128.round(), 0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-0.0f128).round(), -0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.0f128).round(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.3f128).round(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.5f128).round(), -2.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.7f128).round(), -2.0f128, TOL_PRECISE);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
-fn test_round_ties_even() {
-    assert_approx_eq!(2.5f128.round_ties_even(), 2.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.0f128.round_ties_even(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.3f128.round_ties_even(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.5f128.round_ties_even(), 2.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.7f128.round_ties_even(), 2.0f128, TOL_PRECISE);
-    assert_approx_eq!(0.0f128.round_ties_even(), 0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-0.0f128).round_ties_even(), -0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.0f128).round_ties_even(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.3f128).round_ties_even(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.5f128).round_ties_even(), -2.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.7f128).round_ties_even(), -2.0f128, TOL_PRECISE);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
-fn test_trunc() {
-    assert_approx_eq!(1.0f128.trunc(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.3f128.trunc(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.5f128.trunc(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.7f128.trunc(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(0.0f128.trunc(), 0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-0.0f128).trunc(), -0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.0f128).trunc(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.3f128).trunc(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.5f128).trunc(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.7f128).trunc(), -1.0f128, TOL_PRECISE);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
-fn test_fract() {
-    assert_approx_eq!(1.0f128.fract(), 0.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.3f128.fract(), 0.3f128, TOL_PRECISE);
-    assert_approx_eq!(1.5f128.fract(), 0.5f128, TOL_PRECISE);
-    assert_approx_eq!(1.7f128.fract(), 0.7f128, TOL_PRECISE);
-    assert_approx_eq!(0.0f128.fract(), 0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-0.0f128).fract(), -0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.0f128).fract(), -0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.3f128).fract(), -0.3f128, TOL_PRECISE);
-    assert_approx_eq!((-1.5f128).fract(), -0.5f128, TOL_PRECISE);
-    assert_approx_eq!((-1.7f128).fract(), -0.7f128, TOL_PRECISE);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
-fn test_abs() {
-    assert_eq!(f128::INFINITY.abs(), f128::INFINITY);
-    assert_eq!(1f128.abs(), 1f128);
-    assert_eq!(0f128.abs(), 0f128);
-    assert_eq!((-0f128).abs(), 0f128);
-    assert_eq!((-1f128).abs(), 1f128);
-    assert_eq!(f128::NEG_INFINITY.abs(), f128::INFINITY);
-    assert_eq!((1f128 / f128::NEG_INFINITY).abs(), 0f128);
-    assert!(f128::NAN.abs().is_nan());
-}
-
-#[test]
-fn test_is_sign_positive() {
-    assert!(f128::INFINITY.is_sign_positive());
-    assert!(1f128.is_sign_positive());
-    assert!(0f128.is_sign_positive());
-    assert!(!(-0f128).is_sign_positive());
-    assert!(!(-1f128).is_sign_positive());
-    assert!(!f128::NEG_INFINITY.is_sign_positive());
-    assert!(!(1f128 / f128::NEG_INFINITY).is_sign_positive());
-    assert!(f128::NAN.is_sign_positive());
-    assert!(!(-f128::NAN).is_sign_positive());
-}
-
-#[test]
-fn test_is_sign_negative() {
-    assert!(!f128::INFINITY.is_sign_negative());
-    assert!(!1f128.is_sign_negative());
-    assert!(!0f128.is_sign_negative());
-    assert!((-0f128).is_sign_negative());
-    assert!((-1f128).is_sign_negative());
-    assert!(f128::NEG_INFINITY.is_sign_negative());
-    assert!((1f128 / f128::NEG_INFINITY).is_sign_negative());
-    assert!(!f128::NAN.is_sign_negative());
-    assert!((-f128::NAN).is_sign_negative());
-}
-
-#[test]
-fn test_next_up() {
-    let tiny = f128::from_bits(TINY_BITS);
-    let tiny_up = f128::from_bits(TINY_UP_BITS);
-    let max_down = f128::from_bits(MAX_DOWN_BITS);
-    let largest_subnormal = f128::from_bits(LARGEST_SUBNORMAL_BITS);
-    let smallest_normal = f128::from_bits(SMALLEST_NORMAL_BITS);
-    assert_f128_biteq!(f128::NEG_INFINITY.next_up(), f128::MIN);
-    assert_f128_biteq!(f128::MIN.next_up(), -max_down);
-    assert_f128_biteq!((-1.0 - f128::EPSILON).next_up(), -1.0);
-    assert_f128_biteq!((-smallest_normal).next_up(), -largest_subnormal);
-    assert_f128_biteq!((-tiny_up).next_up(), -tiny);
-    assert_f128_biteq!((-tiny).next_up(), -0.0f128);
-    assert_f128_biteq!((-0.0f128).next_up(), tiny);
-    assert_f128_biteq!(0.0f128.next_up(), tiny);
-    assert_f128_biteq!(tiny.next_up(), tiny_up);
-    assert_f128_biteq!(largest_subnormal.next_up(), smallest_normal);
-    assert_f128_biteq!(1.0f128.next_up(), 1.0 + f128::EPSILON);
-    assert_f128_biteq!(f128::MAX.next_up(), f128::INFINITY);
-    assert_f128_biteq!(f128::INFINITY.next_up(), f128::INFINITY);
-
-    // Check that NaNs roundtrip.
-    let nan0 = f128::NAN;
-    let nan1 = f128::from_bits(f128::NAN.to_bits() ^ 0x002a_aaaa);
-    let nan2 = f128::from_bits(f128::NAN.to_bits() ^ 0x0055_5555);
-    assert_f128_biteq!(nan0.next_up(), nan0);
-    assert_f128_biteq!(nan1.next_up(), nan1);
-    assert_f128_biteq!(nan2.next_up(), nan2);
-}
-
-#[test]
-fn test_next_down() {
-    let tiny = f128::from_bits(TINY_BITS);
-    let tiny_up = f128::from_bits(TINY_UP_BITS);
-    let max_down = f128::from_bits(MAX_DOWN_BITS);
-    let largest_subnormal = f128::from_bits(LARGEST_SUBNORMAL_BITS);
-    let smallest_normal = f128::from_bits(SMALLEST_NORMAL_BITS);
-    assert_f128_biteq!(f128::NEG_INFINITY.next_down(), f128::NEG_INFINITY);
-    assert_f128_biteq!(f128::MIN.next_down(), f128::NEG_INFINITY);
-    assert_f128_biteq!((-max_down).next_down(), f128::MIN);
-    assert_f128_biteq!((-1.0f128).next_down(), -1.0 - f128::EPSILON);
-    assert_f128_biteq!((-largest_subnormal).next_down(), -smallest_normal);
-    assert_f128_biteq!((-tiny).next_down(), -tiny_up);
-    assert_f128_biteq!((-0.0f128).next_down(), -tiny);
-    assert_f128_biteq!((0.0f128).next_down(), -tiny);
-    assert_f128_biteq!(tiny.next_down(), 0.0f128);
-    assert_f128_biteq!(tiny_up.next_down(), tiny);
-    assert_f128_biteq!(smallest_normal.next_down(), largest_subnormal);
-    assert_f128_biteq!((1.0 + f128::EPSILON).next_down(), 1.0f128);
-    assert_f128_biteq!(f128::MAX.next_down(), max_down);
-    assert_f128_biteq!(f128::INFINITY.next_down(), f128::MAX);
-
-    // Check that NaNs roundtrip.
-    let nan0 = f128::NAN;
-    let nan1 = f128::from_bits(f128::NAN.to_bits() ^ 0x002a_aaaa);
-    let nan2 = f128::from_bits(f128::NAN.to_bits() ^ 0x0055_5555);
-    assert_f128_biteq!(nan0.next_down(), nan0);
-    assert_f128_biteq!(nan1.next_down(), nan1);
-    assert_f128_biteq!(nan2.next_down(), nan2);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
-fn test_mul_add() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert_approx_eq!(12.3f128.mul_add(4.5, 6.7), 62.05, TOL_PRECISE);
-    assert_approx_eq!((-12.3f128).mul_add(-4.5, -6.7), 48.65, TOL_PRECISE);
-    assert_approx_eq!(0.0f128.mul_add(8.9, 1.2), 1.2, TOL_PRECISE);
-    assert_approx_eq!(3.4f128.mul_add(-0.0, 5.6), 5.6, TOL_PRECISE);
-    assert!(nan.mul_add(7.8, 9.0).is_nan());
-    assert_eq!(inf.mul_add(7.8, 9.0), inf);
-    assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf);
-    assert_eq!(8.9f128.mul_add(inf, 3.2), inf);
-    assert_eq!((-3.2f128).mul_add(2.4, neg_inf), neg_inf);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
-fn test_recip() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert_eq!(1.0f128.recip(), 1.0);
-    assert_eq!(2.0f128.recip(), 0.5);
-    assert_eq!((-0.4f128).recip(), -2.5);
-    assert_eq!(0.0f128.recip(), inf);
-    assert_approx_eq!(
-        f128::MAX.recip(),
-        8.40525785778023376565669454330438228902076605e-4933,
-        1e-4900
-    );
-    assert!(nan.recip().is_nan());
-    assert_eq!(inf.recip(), 0.0);
-    assert_eq!(neg_inf.recip(), 0.0);
-}
-
 // Many math functions allow for less accurate results, so the next tolerance up is used
 
 #[test]
 #[cfg(not(miri))]
 #[cfg(target_has_reliable_f128_math)]
-fn test_powi() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert_eq!(1.0f128.powi(1), 1.0);
-    assert_approx_eq!((-3.1f128).powi(2), 9.6100000000000005506706202140776519387, TOL);
-    assert_approx_eq!(5.9f128.powi(-2), 0.028727377190462507313100483690639638451, TOL);
-    assert_eq!(8.3f128.powi(0), 1.0);
-    assert!(nan.powi(2).is_nan());
-    assert_eq!(inf.powi(3), inf);
-    assert_eq!(neg_inf.powi(2), inf);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
 fn test_powf() {
     let nan: f128 = f128::NAN;
     let inf: f128 = f128::INFINITY;
@@ -539,19 +68,6 @@ fn test_powf() {
 #[test]
 #[cfg(not(miri))]
 #[cfg(target_has_reliable_f128_math)]
-fn test_sqrt_domain() {
-    assert!(f128::NAN.sqrt().is_nan());
-    assert!(f128::NEG_INFINITY.sqrt().is_nan());
-    assert!((-1.0f128).sqrt().is_nan());
-    assert_eq!((-0.0f128).sqrt(), -0.0);
-    assert_eq!(0.0f128.sqrt(), 0.0);
-    assert_eq!(1.0f128.sqrt(), 1.0);
-    assert_eq!(f128::INFINITY.sqrt(), f128::INFINITY);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f128_math)]
 fn test_exp() {
     assert_eq!(1.0, 0.0f128.exp());
     assert_approx_eq!(consts::E, 1.0f128.exp(), TOL);
@@ -655,38 +171,6 @@ fn test_log10() {
 }
 
 #[test]
-fn test_to_degrees() {
-    let pi: f128 = consts::PI;
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert_eq!(0.0f128.to_degrees(), 0.0);
-    assert_approx_eq!((-5.8f128).to_degrees(), -332.31552117587745090765431723855668471, TOL);
-    assert_approx_eq!(pi.to_degrees(), 180.0, TOL);
-    assert!(nan.to_degrees().is_nan());
-    assert_eq!(inf.to_degrees(), inf);
-    assert_eq!(neg_inf.to_degrees(), neg_inf);
-    assert_eq!(1_f128.to_degrees(), 57.2957795130823208767981548141051703);
-}
-
-#[test]
-fn test_to_radians() {
-    let pi: f128 = consts::PI;
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert_eq!(0.0f128.to_radians(), 0.0);
-    assert_approx_eq!(154.6f128.to_radians(), 2.6982790235832334267135442069489767804, TOL);
-    assert_approx_eq!((-332.31f128).to_radians(), -5.7999036373023566567593094812182763013, TOL);
-    // check approx rather than exact because round trip for pi doesn't fall on an exactly
-    // representable value (unlike `f32` and `f64`).
-    assert_approx_eq!(180.0f128.to_radians(), pi, TOL_PRECISE);
-    assert!(nan.to_radians().is_nan());
-    assert_eq!(inf.to_radians(), inf);
-    assert_eq!(neg_inf.to_radians(), neg_inf);
-}
-
-#[test]
 #[cfg(not(miri))]
 #[cfg(target_has_reliable_f128_math)]
 fn test_asinh() {
@@ -835,237 +319,3 @@ fn test_real_consts() {
         assert_approx_eq!(ln_10, 10f128.ln(), TOL_PRECISE);
     }
 }
-
-#[test]
-fn test_float_bits_conv() {
-    assert_eq!((1f128).to_bits(), 0x3fff0000000000000000000000000000);
-    assert_eq!((12.5f128).to_bits(), 0x40029000000000000000000000000000);
-    assert_eq!((1337f128).to_bits(), 0x40094e40000000000000000000000000);
-    assert_eq!((-14.25f128).to_bits(), 0xc002c800000000000000000000000000);
-    assert_approx_eq!(f128::from_bits(0x3fff0000000000000000000000000000), 1.0, TOL_PRECISE);
-    assert_approx_eq!(f128::from_bits(0x40029000000000000000000000000000), 12.5, TOL_PRECISE);
-    assert_approx_eq!(f128::from_bits(0x40094e40000000000000000000000000), 1337.0, TOL_PRECISE);
-    assert_approx_eq!(f128::from_bits(0xc002c800000000000000000000000000), -14.25, TOL_PRECISE);
-
-    // Check that NaNs roundtrip their bits regardless of signaling-ness
-    // 0xA is 0b1010; 0x5 is 0b0101 -- so these two together clobbers all the mantissa bits
-    let masked_nan1 = f128::NAN.to_bits() ^ NAN_MASK1;
-    let masked_nan2 = f128::NAN.to_bits() ^ NAN_MASK2;
-    assert!(f128::from_bits(masked_nan1).is_nan());
-    assert!(f128::from_bits(masked_nan2).is_nan());
-
-    assert_eq!(f128::from_bits(masked_nan1).to_bits(), masked_nan1);
-    assert_eq!(f128::from_bits(masked_nan2).to_bits(), masked_nan2);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_min_greater_than_max() {
-    let _ = 1.0f128.clamp(3.0, 1.0);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_min_is_nan() {
-    let _ = 1.0f128.clamp(f128::NAN, 1.0);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_max_is_nan() {
-    let _ = 1.0f128.clamp(3.0, f128::NAN);
-}
-
-#[test]
-fn test_total_cmp() {
-    use core::cmp::Ordering;
-
-    fn quiet_bit_mask() -> u128 {
-        1 << (f128::MANTISSA_DIGITS - 2)
-    }
-
-    // FIXME(f16_f128): test subnormals when powf is available
-    // fn min_subnorm() -> f128 {
-    //     f128::MIN_POSITIVE / f128::powf(2.0, f128::MANTISSA_DIGITS as f128 - 1.0)
-    // }
-
-    // fn max_subnorm() -> f128 {
-    //     f128::MIN_POSITIVE - min_subnorm()
-    // }
-
-    fn q_nan() -> f128 {
-        f128::from_bits(f128::NAN.to_bits() | quiet_bit_mask())
-    }
-
-    fn s_nan() -> f128 {
-        f128::from_bits((f128::NAN.to_bits() & !quiet_bit_mask()) + 42)
-    }
-
-    assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan()));
-    assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Equal, (-f128::INFINITY).total_cmp(&-f128::INFINITY));
-    assert_eq!(Ordering::Equal, (-f128::MAX).total_cmp(&-f128::MAX));
-    assert_eq!(Ordering::Equal, (-2.5_f128).total_cmp(&-2.5));
-    assert_eq!(Ordering::Equal, (-1.0_f128).total_cmp(&-1.0));
-    assert_eq!(Ordering::Equal, (-1.5_f128).total_cmp(&-1.5));
-    assert_eq!(Ordering::Equal, (-0.5_f128).total_cmp(&-0.5));
-    assert_eq!(Ordering::Equal, (-f128::MIN_POSITIVE).total_cmp(&-f128::MIN_POSITIVE));
-    // assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm()));
-    // assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Equal, (-0.0_f128).total_cmp(&-0.0));
-    assert_eq!(Ordering::Equal, 0.0_f128.total_cmp(&0.0));
-    // assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm()));
-    // assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Equal, f128::MIN_POSITIVE.total_cmp(&f128::MIN_POSITIVE));
-    assert_eq!(Ordering::Equal, 0.5_f128.total_cmp(&0.5));
-    assert_eq!(Ordering::Equal, 1.0_f128.total_cmp(&1.0));
-    assert_eq!(Ordering::Equal, 1.5_f128.total_cmp(&1.5));
-    assert_eq!(Ordering::Equal, 2.5_f128.total_cmp(&2.5));
-    assert_eq!(Ordering::Equal, f128::MAX.total_cmp(&f128::MAX));
-    assert_eq!(Ordering::Equal, f128::INFINITY.total_cmp(&f128::INFINITY));
-    assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan()));
-    assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan()));
-
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f128::INFINITY));
-    assert_eq!(Ordering::Less, (-f128::INFINITY).total_cmp(&-f128::MAX));
-    assert_eq!(Ordering::Less, (-f128::MAX).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-2.5_f128).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-1.5_f128).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-1.0_f128).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-0.5_f128).total_cmp(&-f128::MIN_POSITIVE));
-    // assert_eq!(Ordering::Less, (-f128::MIN_POSITIVE).total_cmp(&-max_subnorm()));
-    // assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm()));
-    // assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-0.0_f128).total_cmp(&0.0));
-    // assert_eq!(Ordering::Less, 0.0_f128.total_cmp(&min_subnorm()));
-    // assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm()));
-    // assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f128::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, f128::MIN_POSITIVE.total_cmp(&0.5));
-    assert_eq!(Ordering::Less, 0.5_f128.total_cmp(&1.0));
-    assert_eq!(Ordering::Less, 1.0_f128.total_cmp(&1.5));
-    assert_eq!(Ordering::Less, 1.5_f128.total_cmp(&2.5));
-    assert_eq!(Ordering::Less, 2.5_f128.total_cmp(&f128::MAX));
-    assert_eq!(Ordering::Less, f128::MAX.total_cmp(&f128::INFINITY));
-    assert_eq!(Ordering::Less, f128::INFINITY.total_cmp(&s_nan()));
-    assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan()));
-
-    assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan()));
-    assert_eq!(Ordering::Greater, (-f128::INFINITY).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Greater, (-f128::MAX).total_cmp(&-f128::INFINITY));
-    assert_eq!(Ordering::Greater, (-2.5_f128).total_cmp(&-f128::MAX));
-    assert_eq!(Ordering::Greater, (-1.5_f128).total_cmp(&-2.5));
-    assert_eq!(Ordering::Greater, (-1.0_f128).total_cmp(&-1.5));
-    assert_eq!(Ordering::Greater, (-0.5_f128).total_cmp(&-1.0));
-    assert_eq!(Ordering::Greater, (-f128::MIN_POSITIVE).total_cmp(&-0.5));
-    // assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f128::MIN_POSITIVE));
-    // assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm()));
-    // assert_eq!(Ordering::Greater, (-0.0_f128).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Greater, 0.0_f128.total_cmp(&-0.0));
-    // assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0));
-    // assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm()));
-    // assert_eq!(Ordering::Greater, f128::MIN_POSITIVE.total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Greater, 0.5_f128.total_cmp(&f128::MIN_POSITIVE));
-    assert_eq!(Ordering::Greater, 1.0_f128.total_cmp(&0.5));
-    assert_eq!(Ordering::Greater, 1.5_f128.total_cmp(&1.0));
-    assert_eq!(Ordering::Greater, 2.5_f128.total_cmp(&1.5));
-    assert_eq!(Ordering::Greater, f128::MAX.total_cmp(&2.5));
-    assert_eq!(Ordering::Greater, f128::INFINITY.total_cmp(&f128::MAX));
-    assert_eq!(Ordering::Greater, s_nan().total_cmp(&f128::INFINITY));
-    assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan()));
-
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f128::INFINITY));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f128::MAX));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f128::MIN_POSITIVE));
-    // assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm()));
-    // assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0));
-    // assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm()));
-    // assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f128::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f128::MAX));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f128::INFINITY));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan()));
-
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f128::INFINITY));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f128::MAX));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f128::MIN_POSITIVE));
-    // assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm()));
-    // assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0));
-    // assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm()));
-    // assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f128::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f128::MAX));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f128::INFINITY));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan()));
-}
-
-#[test]
-fn test_algebraic() {
-    let a: f128 = 123.0;
-    let b: f128 = 456.0;
-
-    // Check that individual operations match their primitive counterparts.
-    //
-    // This is a check of current implementations and does NOT imply any form of
-    // guarantee about future behavior. The compiler reserves the right to make
-    // these operations inexact matches in the future.
-    let eps = if cfg!(miri) { 1e-6 } else { 0.0 };
-
-    assert_approx_eq!(a.algebraic_add(b), a + b, eps);
-    assert_approx_eq!(a.algebraic_sub(b), a - b, eps);
-    assert_approx_eq!(a.algebraic_mul(b), a * b, eps);
-    assert_approx_eq!(a.algebraic_div(b), a / b, eps);
-    assert_approx_eq!(a.algebraic_rem(b), a % b, eps);
-}
-
-#[test]
-fn test_from() {
-    assert_eq!(f128::from(false), 0.0);
-    assert_eq!(f128::from(true), 1.0);
-    assert_eq!(f128::from(u8::MIN), 0.0);
-    assert_eq!(f128::from(42_u8), 42.0);
-    assert_eq!(f128::from(u8::MAX), 255.0);
-    assert_eq!(f128::from(i8::MIN), -128.0);
-    assert_eq!(f128::from(42_i8), 42.0);
-    assert_eq!(f128::from(i8::MAX), 127.0);
-    assert_eq!(f128::from(u16::MIN), 0.0);
-    assert_eq!(f128::from(42_u16), 42.0);
-    assert_eq!(f128::from(u16::MAX), 65535.0);
-    assert_eq!(f128::from(i16::MIN), -32768.0);
-    assert_eq!(f128::from(42_i16), 42.0);
-    assert_eq!(f128::from(i16::MAX), 32767.0);
-    assert_eq!(f128::from(u32::MIN), 0.0);
-    assert_eq!(f128::from(42_u32), 42.0);
-    assert_eq!(f128::from(u32::MAX), 4294967295.0);
-    assert_eq!(f128::from(i32::MIN), -2147483648.0);
-    assert_eq!(f128::from(42_i32), 42.0);
-    assert_eq!(f128::from(i32::MAX), 2147483647.0);
-    // FIXME(f16_f128): Uncomment these tests once the From<{u64,i64}> impls are added.
-    // assert_eq!(f128::from(u64::MIN), 0.0);
-    // assert_eq!(f128::from(42_u64), 42.0);
-    // assert_eq!(f128::from(u64::MAX), 18446744073709551615.0);
-    // assert_eq!(f128::from(i64::MIN), -9223372036854775808.0);
-    // assert_eq!(f128::from(42_i64), 42.0);
-    // assert_eq!(f128::from(i64::MAX), 9223372036854775807.0);
-}
diff --git a/library/std/tests/floats/f16.rs b/library/std/tests/floats/f16.rs
index 70bbcd07160..0f8b4138d22 100644
--- a/library/std/tests/floats/f16.rs
+++ b/library/std/tests/floats/f16.rs
@@ -2,7 +2,6 @@
 #![cfg(target_has_reliable_f16)]
 
 use std::f16::consts;
-use std::num::FpCategory as Fp;
 
 /// Tolerance for results on the order of 10.0e-2
 #[allow(unused)]
@@ -20,27 +19,6 @@ const TOL_P2: f16 = 0.5;
 #[allow(unused)]
 const TOL_P4: f16 = 10.0;
 
-/// Smallest number
-const TINY_BITS: u16 = 0x1;
-
-/// Next smallest number
-const TINY_UP_BITS: u16 = 0x2;
-
-/// Exponent = 0b11...10, Sifnificand 0b1111..10. Min val > 0
-const MAX_DOWN_BITS: u16 = 0x7bfe;
-
-/// Zeroed exponent, full significant
-const LARGEST_SUBNORMAL_BITS: u16 = 0x03ff;
-
-/// Exponent = 0b1, zeroed significand
-const SMALLEST_NORMAL_BITS: u16 = 0x0400;
-
-/// First pattern over the mantissa
-const NAN_MASK1: u16 = 0x02aa;
-
-/// Second pattern over the mantissa
-const NAN_MASK2: u16 = 0x0155;
-
 /// Compare by representation
 #[allow(unused_macros)]
 macro_rules! assert_f16_biteq {
@@ -53,446 +31,6 @@ macro_rules! assert_f16_biteq {
 }
 
 #[test]
-fn test_num_f16() {
-    crate::test_num(10f16, 2f16);
-}
-
-// FIXME(f16_f128,miri): many of these have to be disabled since miri does not yet support
-// the intrinsics.
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f16_math)]
-fn test_min_nan() {
-    assert_eq!(f16::NAN.min(2.0), 2.0);
-    assert_eq!(2.0f16.min(f16::NAN), 2.0);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f16_math)]
-fn test_max_nan() {
-    assert_eq!(f16::NAN.max(2.0), 2.0);
-    assert_eq!(2.0f16.max(f16::NAN), 2.0);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f16_math)]
-fn test_minimum() {
-    assert!(f16::NAN.minimum(2.0).is_nan());
-    assert!(2.0f16.minimum(f16::NAN).is_nan());
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f16_math)]
-fn test_maximum() {
-    assert!(f16::NAN.maximum(2.0).is_nan());
-    assert!(2.0f16.maximum(f16::NAN).is_nan());
-}
-
-#[test]
-fn test_nan() {
-    let nan: f16 = f16::NAN;
-    assert!(nan.is_nan());
-    assert!(!nan.is_infinite());
-    assert!(!nan.is_finite());
-    assert!(nan.is_sign_positive());
-    assert!(!nan.is_sign_negative());
-    assert!(!nan.is_normal());
-    assert_eq!(Fp::Nan, nan.classify());
-    // Ensure the quiet bit is set.
-    assert!(nan.to_bits() & (1 << (f16::MANTISSA_DIGITS - 2)) != 0);
-}
-
-#[test]
-fn test_infinity() {
-    let inf: f16 = f16::INFINITY;
-    assert!(inf.is_infinite());
-    assert!(!inf.is_finite());
-    assert!(inf.is_sign_positive());
-    assert!(!inf.is_sign_negative());
-    assert!(!inf.is_nan());
-    assert!(!inf.is_normal());
-    assert_eq!(Fp::Infinite, inf.classify());
-}
-
-#[test]
-fn test_neg_infinity() {
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert!(neg_inf.is_infinite());
-    assert!(!neg_inf.is_finite());
-    assert!(!neg_inf.is_sign_positive());
-    assert!(neg_inf.is_sign_negative());
-    assert!(!neg_inf.is_nan());
-    assert!(!neg_inf.is_normal());
-    assert_eq!(Fp::Infinite, neg_inf.classify());
-}
-
-#[test]
-fn test_zero() {
-    let zero: f16 = 0.0f16;
-    assert_eq!(0.0, zero);
-    assert!(!zero.is_infinite());
-    assert!(zero.is_finite());
-    assert!(zero.is_sign_positive());
-    assert!(!zero.is_sign_negative());
-    assert!(!zero.is_nan());
-    assert!(!zero.is_normal());
-    assert_eq!(Fp::Zero, zero.classify());
-}
-
-#[test]
-fn test_neg_zero() {
-    let neg_zero: f16 = -0.0;
-    assert_eq!(0.0, neg_zero);
-    assert!(!neg_zero.is_infinite());
-    assert!(neg_zero.is_finite());
-    assert!(!neg_zero.is_sign_positive());
-    assert!(neg_zero.is_sign_negative());
-    assert!(!neg_zero.is_nan());
-    assert!(!neg_zero.is_normal());
-    assert_eq!(Fp::Zero, neg_zero.classify());
-}
-
-#[test]
-fn test_one() {
-    let one: f16 = 1.0f16;
-    assert_eq!(1.0, one);
-    assert!(!one.is_infinite());
-    assert!(one.is_finite());
-    assert!(one.is_sign_positive());
-    assert!(!one.is_sign_negative());
-    assert!(!one.is_nan());
-    assert!(one.is_normal());
-    assert_eq!(Fp::Normal, one.classify());
-}
-
-#[test]
-fn test_is_nan() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert!(nan.is_nan());
-    assert!(!0.0f16.is_nan());
-    assert!(!5.3f16.is_nan());
-    assert!(!(-10.732f16).is_nan());
-    assert!(!inf.is_nan());
-    assert!(!neg_inf.is_nan());
-}
-
-#[test]
-fn test_is_infinite() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert!(!nan.is_infinite());
-    assert!(inf.is_infinite());
-    assert!(neg_inf.is_infinite());
-    assert!(!0.0f16.is_infinite());
-    assert!(!42.8f16.is_infinite());
-    assert!(!(-109.2f16).is_infinite());
-}
-
-#[test]
-fn test_is_finite() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert!(!nan.is_finite());
-    assert!(!inf.is_finite());
-    assert!(!neg_inf.is_finite());
-    assert!(0.0f16.is_finite());
-    assert!(42.8f16.is_finite());
-    assert!((-109.2f16).is_finite());
-}
-
-#[test]
-fn test_is_normal() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    let zero: f16 = 0.0f16;
-    let neg_zero: f16 = -0.0;
-    assert!(!nan.is_normal());
-    assert!(!inf.is_normal());
-    assert!(!neg_inf.is_normal());
-    assert!(!zero.is_normal());
-    assert!(!neg_zero.is_normal());
-    assert!(1f16.is_normal());
-    assert!(1e-4f16.is_normal());
-    assert!(!1e-5f16.is_normal());
-}
-
-#[test]
-fn test_classify() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    let zero: f16 = 0.0f16;
-    let neg_zero: f16 = -0.0;
-    assert_eq!(nan.classify(), Fp::Nan);
-    assert_eq!(inf.classify(), Fp::Infinite);
-    assert_eq!(neg_inf.classify(), Fp::Infinite);
-    assert_eq!(zero.classify(), Fp::Zero);
-    assert_eq!(neg_zero.classify(), Fp::Zero);
-    assert_eq!(1f16.classify(), Fp::Normal);
-    assert_eq!(1e-4f16.classify(), Fp::Normal);
-    assert_eq!(1e-5f16.classify(), Fp::Subnormal);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f16_math)]
-fn test_floor() {
-    assert_approx_eq!(1.0f16.floor(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.3f16.floor(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.5f16.floor(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.7f16.floor(), 1.0f16, TOL_0);
-    assert_approx_eq!(0.0f16.floor(), 0.0f16, TOL_0);
-    assert_approx_eq!((-0.0f16).floor(), -0.0f16, TOL_0);
-    assert_approx_eq!((-1.0f16).floor(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.3f16).floor(), -2.0f16, TOL_0);
-    assert_approx_eq!((-1.5f16).floor(), -2.0f16, TOL_0);
-    assert_approx_eq!((-1.7f16).floor(), -2.0f16, TOL_0);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f16_math)]
-fn test_ceil() {
-    assert_approx_eq!(1.0f16.ceil(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.3f16.ceil(), 2.0f16, TOL_0);
-    assert_approx_eq!(1.5f16.ceil(), 2.0f16, TOL_0);
-    assert_approx_eq!(1.7f16.ceil(), 2.0f16, TOL_0);
-    assert_approx_eq!(0.0f16.ceil(), 0.0f16, TOL_0);
-    assert_approx_eq!((-0.0f16).ceil(), -0.0f16, TOL_0);
-    assert_approx_eq!((-1.0f16).ceil(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.3f16).ceil(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.5f16).ceil(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.7f16).ceil(), -1.0f16, TOL_0);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f16_math)]
-fn test_round() {
-    assert_approx_eq!(2.5f16.round(), 3.0f16, TOL_0);
-    assert_approx_eq!(1.0f16.round(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.3f16.round(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.5f16.round(), 2.0f16, TOL_0);
-    assert_approx_eq!(1.7f16.round(), 2.0f16, TOL_0);
-    assert_approx_eq!(0.0f16.round(), 0.0f16, TOL_0);
-    assert_approx_eq!((-0.0f16).round(), -0.0f16, TOL_0);
-    assert_approx_eq!((-1.0f16).round(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.3f16).round(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.5f16).round(), -2.0f16, TOL_0);
-    assert_approx_eq!((-1.7f16).round(), -2.0f16, TOL_0);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f16_math)]
-fn test_round_ties_even() {
-    assert_approx_eq!(2.5f16.round_ties_even(), 2.0f16, TOL_0);
-    assert_approx_eq!(1.0f16.round_ties_even(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.3f16.round_ties_even(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.5f16.round_ties_even(), 2.0f16, TOL_0);
-    assert_approx_eq!(1.7f16.round_ties_even(), 2.0f16, TOL_0);
-    assert_approx_eq!(0.0f16.round_ties_even(), 0.0f16, TOL_0);
-    assert_approx_eq!((-0.0f16).round_ties_even(), -0.0f16, TOL_0);
-    assert_approx_eq!((-1.0f16).round_ties_even(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.3f16).round_ties_even(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.5f16).round_ties_even(), -2.0f16, TOL_0);
-    assert_approx_eq!((-1.7f16).round_ties_even(), -2.0f16, TOL_0);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f16_math)]
-fn test_trunc() {
-    assert_approx_eq!(1.0f16.trunc(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.3f16.trunc(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.5f16.trunc(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.7f16.trunc(), 1.0f16, TOL_0);
-    assert_approx_eq!(0.0f16.trunc(), 0.0f16, TOL_0);
-    assert_approx_eq!((-0.0f16).trunc(), -0.0f16, TOL_0);
-    assert_approx_eq!((-1.0f16).trunc(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.3f16).trunc(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.5f16).trunc(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.7f16).trunc(), -1.0f16, TOL_0);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f16_math)]
-fn test_fract() {
-    assert_approx_eq!(1.0f16.fract(), 0.0f16, TOL_0);
-    assert_approx_eq!(1.3f16.fract(), 0.3f16, TOL_0);
-    assert_approx_eq!(1.5f16.fract(), 0.5f16, TOL_0);
-    assert_approx_eq!(1.7f16.fract(), 0.7f16, TOL_0);
-    assert_approx_eq!(0.0f16.fract(), 0.0f16, TOL_0);
-    assert_approx_eq!((-0.0f16).fract(), -0.0f16, TOL_0);
-    assert_approx_eq!((-1.0f16).fract(), -0.0f16, TOL_0);
-    assert_approx_eq!((-1.3f16).fract(), -0.3f16, TOL_0);
-    assert_approx_eq!((-1.5f16).fract(), -0.5f16, TOL_0);
-    assert_approx_eq!((-1.7f16).fract(), -0.7f16, TOL_0);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f16_math)]
-fn test_abs() {
-    assert_eq!(f16::INFINITY.abs(), f16::INFINITY);
-    assert_eq!(1f16.abs(), 1f16);
-    assert_eq!(0f16.abs(), 0f16);
-    assert_eq!((-0f16).abs(), 0f16);
-    assert_eq!((-1f16).abs(), 1f16);
-    assert_eq!(f16::NEG_INFINITY.abs(), f16::INFINITY);
-    assert_eq!((1f16 / f16::NEG_INFINITY).abs(), 0f16);
-    assert!(f16::NAN.abs().is_nan());
-}
-
-#[test]
-fn test_is_sign_positive() {
-    assert!(f16::INFINITY.is_sign_positive());
-    assert!(1f16.is_sign_positive());
-    assert!(0f16.is_sign_positive());
-    assert!(!(-0f16).is_sign_positive());
-    assert!(!(-1f16).is_sign_positive());
-    assert!(!f16::NEG_INFINITY.is_sign_positive());
-    assert!(!(1f16 / f16::NEG_INFINITY).is_sign_positive());
-    assert!(f16::NAN.is_sign_positive());
-    assert!(!(-f16::NAN).is_sign_positive());
-}
-
-#[test]
-fn test_is_sign_negative() {
-    assert!(!f16::INFINITY.is_sign_negative());
-    assert!(!1f16.is_sign_negative());
-    assert!(!0f16.is_sign_negative());
-    assert!((-0f16).is_sign_negative());
-    assert!((-1f16).is_sign_negative());
-    assert!(f16::NEG_INFINITY.is_sign_negative());
-    assert!((1f16 / f16::NEG_INFINITY).is_sign_negative());
-    assert!(!f16::NAN.is_sign_negative());
-    assert!((-f16::NAN).is_sign_negative());
-}
-
-#[test]
-fn test_next_up() {
-    let tiny = f16::from_bits(TINY_BITS);
-    let tiny_up = f16::from_bits(TINY_UP_BITS);
-    let max_down = f16::from_bits(MAX_DOWN_BITS);
-    let largest_subnormal = f16::from_bits(LARGEST_SUBNORMAL_BITS);
-    let smallest_normal = f16::from_bits(SMALLEST_NORMAL_BITS);
-    assert_f16_biteq!(f16::NEG_INFINITY.next_up(), f16::MIN);
-    assert_f16_biteq!(f16::MIN.next_up(), -max_down);
-    assert_f16_biteq!((-1.0 - f16::EPSILON).next_up(), -1.0);
-    assert_f16_biteq!((-smallest_normal).next_up(), -largest_subnormal);
-    assert_f16_biteq!((-tiny_up).next_up(), -tiny);
-    assert_f16_biteq!((-tiny).next_up(), -0.0f16);
-    assert_f16_biteq!((-0.0f16).next_up(), tiny);
-    assert_f16_biteq!(0.0f16.next_up(), tiny);
-    assert_f16_biteq!(tiny.next_up(), tiny_up);
-    assert_f16_biteq!(largest_subnormal.next_up(), smallest_normal);
-    assert_f16_biteq!(1.0f16.next_up(), 1.0 + f16::EPSILON);
-    assert_f16_biteq!(f16::MAX.next_up(), f16::INFINITY);
-    assert_f16_biteq!(f16::INFINITY.next_up(), f16::INFINITY);
-
-    // Check that NaNs roundtrip.
-    let nan0 = f16::NAN;
-    let nan1 = f16::from_bits(f16::NAN.to_bits() ^ NAN_MASK1);
-    let nan2 = f16::from_bits(f16::NAN.to_bits() ^ NAN_MASK2);
-    assert_f16_biteq!(nan0.next_up(), nan0);
-    assert_f16_biteq!(nan1.next_up(), nan1);
-    assert_f16_biteq!(nan2.next_up(), nan2);
-}
-
-#[test]
-fn test_next_down() {
-    let tiny = f16::from_bits(TINY_BITS);
-    let tiny_up = f16::from_bits(TINY_UP_BITS);
-    let max_down = f16::from_bits(MAX_DOWN_BITS);
-    let largest_subnormal = f16::from_bits(LARGEST_SUBNORMAL_BITS);
-    let smallest_normal = f16::from_bits(SMALLEST_NORMAL_BITS);
-    assert_f16_biteq!(f16::NEG_INFINITY.next_down(), f16::NEG_INFINITY);
-    assert_f16_biteq!(f16::MIN.next_down(), f16::NEG_INFINITY);
-    assert_f16_biteq!((-max_down).next_down(), f16::MIN);
-    assert_f16_biteq!((-1.0f16).next_down(), -1.0 - f16::EPSILON);
-    assert_f16_biteq!((-largest_subnormal).next_down(), -smallest_normal);
-    assert_f16_biteq!((-tiny).next_down(), -tiny_up);
-    assert_f16_biteq!((-0.0f16).next_down(), -tiny);
-    assert_f16_biteq!((0.0f16).next_down(), -tiny);
-    assert_f16_biteq!(tiny.next_down(), 0.0f16);
-    assert_f16_biteq!(tiny_up.next_down(), tiny);
-    assert_f16_biteq!(smallest_normal.next_down(), largest_subnormal);
-    assert_f16_biteq!((1.0 + f16::EPSILON).next_down(), 1.0f16);
-    assert_f16_biteq!(f16::MAX.next_down(), max_down);
-    assert_f16_biteq!(f16::INFINITY.next_down(), f16::MAX);
-
-    // Check that NaNs roundtrip.
-    let nan0 = f16::NAN;
-    let nan1 = f16::from_bits(f16::NAN.to_bits() ^ NAN_MASK1);
-    let nan2 = f16::from_bits(f16::NAN.to_bits() ^ NAN_MASK2);
-    assert_f16_biteq!(nan0.next_down(), nan0);
-    assert_f16_biteq!(nan1.next_down(), nan1);
-    assert_f16_biteq!(nan2.next_down(), nan2);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f16_math)]
-fn test_mul_add() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert_approx_eq!(12.3f16.mul_add(4.5, 6.7), 62.05, TOL_P2);
-    assert_approx_eq!((-12.3f16).mul_add(-4.5, -6.7), 48.65, TOL_P2);
-    assert_approx_eq!(0.0f16.mul_add(8.9, 1.2), 1.2, TOL_0);
-    assert_approx_eq!(3.4f16.mul_add(-0.0, 5.6), 5.6, TOL_0);
-    assert!(nan.mul_add(7.8, 9.0).is_nan());
-    assert_eq!(inf.mul_add(7.8, 9.0), inf);
-    assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf);
-    assert_eq!(8.9f16.mul_add(inf, 3.2), inf);
-    assert_eq!((-3.2f16).mul_add(2.4, neg_inf), neg_inf);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f16_math)]
-fn test_recip() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert_eq!(1.0f16.recip(), 1.0);
-    assert_eq!(2.0f16.recip(), 0.5);
-    assert_eq!((-0.4f16).recip(), -2.5);
-    assert_eq!(0.0f16.recip(), inf);
-    assert_approx_eq!(f16::MAX.recip(), 1.526624e-5f16, 1e-4);
-    assert!(nan.recip().is_nan());
-    assert_eq!(inf.recip(), 0.0);
-    assert_eq!(neg_inf.recip(), 0.0);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f16_math)]
-fn test_powi() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert_eq!(1.0f16.powi(1), 1.0);
-    assert_approx_eq!((-3.1f16).powi(2), 9.61, TOL_0);
-    assert_approx_eq!(5.9f16.powi(-2), 0.028727, TOL_N2);
-    assert_eq!(8.3f16.powi(0), 1.0);
-    assert!(nan.powi(2).is_nan());
-    assert_eq!(inf.powi(3), inf);
-    assert_eq!(neg_inf.powi(2), inf);
-}
-
-#[test]
 #[cfg(not(miri))]
 #[cfg(target_has_reliable_f16_math)]
 fn test_powf() {
@@ -513,19 +51,6 @@ fn test_powf() {
 #[test]
 #[cfg(not(miri))]
 #[cfg(target_has_reliable_f16_math)]
-fn test_sqrt_domain() {
-    assert!(f16::NAN.sqrt().is_nan());
-    assert!(f16::NEG_INFINITY.sqrt().is_nan());
-    assert!((-1.0f16).sqrt().is_nan());
-    assert_eq!((-0.0f16).sqrt(), -0.0);
-    assert_eq!(0.0f16.sqrt(), 0.0);
-    assert_eq!(1.0f16.sqrt(), 1.0);
-    assert_eq!(f16::INFINITY.sqrt(), f16::INFINITY);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f16_math)]
 fn test_exp() {
     assert_eq!(1.0, 0.0f16.exp());
     assert_approx_eq!(2.718282, 1.0f16.exp(), TOL_0);
@@ -629,36 +154,6 @@ fn test_log10() {
 }
 
 #[test]
-fn test_to_degrees() {
-    let pi: f16 = consts::PI;
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert_eq!(0.0f16.to_degrees(), 0.0);
-    assert_approx_eq!((-5.8f16).to_degrees(), -332.315521, TOL_P2);
-    assert_approx_eq!(pi.to_degrees(), 180.0, TOL_P2);
-    assert!(nan.to_degrees().is_nan());
-    assert_eq!(inf.to_degrees(), inf);
-    assert_eq!(neg_inf.to_degrees(), neg_inf);
-    assert_eq!(1_f16.to_degrees(), 57.2957795130823208767981548141051703);
-}
-
-#[test]
-fn test_to_radians() {
-    let pi: f16 = consts::PI;
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert_eq!(0.0f16.to_radians(), 0.0);
-    assert_approx_eq!(154.6f16.to_radians(), 2.698279, TOL_0);
-    assert_approx_eq!((-332.31f16).to_radians(), -5.799903, TOL_0);
-    assert_approx_eq!(180.0f16.to_radians(), pi, TOL_0);
-    assert!(nan.to_radians().is_nan());
-    assert_eq!(inf.to_radians(), inf);
-    assert_eq!(neg_inf.to_radians(), neg_inf);
-}
-
-#[test]
 #[cfg(not(miri))]
 #[cfg(target_has_reliable_f16_math)]
 fn test_asinh() {
@@ -803,220 +298,3 @@ fn test_real_consts() {
         assert_approx_eq!(ln_10, 10f16.ln(), TOL_0);
     }
 }
-
-#[test]
-fn test_float_bits_conv() {
-    assert_eq!((1f16).to_bits(), 0x3c00);
-    assert_eq!((12.5f16).to_bits(), 0x4a40);
-    assert_eq!((1337f16).to_bits(), 0x6539);
-    assert_eq!((-14.25f16).to_bits(), 0xcb20);
-    assert_approx_eq!(f16::from_bits(0x3c00), 1.0, TOL_0);
-    assert_approx_eq!(f16::from_bits(0x4a40), 12.5, TOL_0);
-    assert_approx_eq!(f16::from_bits(0x6539), 1337.0, TOL_P4);
-    assert_approx_eq!(f16::from_bits(0xcb20), -14.25, TOL_0);
-
-    // Check that NaNs roundtrip their bits regardless of signaling-ness
-    let masked_nan1 = f16::NAN.to_bits() ^ NAN_MASK1;
-    let masked_nan2 = f16::NAN.to_bits() ^ NAN_MASK2;
-    assert!(f16::from_bits(masked_nan1).is_nan());
-    assert!(f16::from_bits(masked_nan2).is_nan());
-
-    assert_eq!(f16::from_bits(masked_nan1).to_bits(), masked_nan1);
-    assert_eq!(f16::from_bits(masked_nan2).to_bits(), masked_nan2);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_min_greater_than_max() {
-    let _ = 1.0f16.clamp(3.0, 1.0);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_min_is_nan() {
-    let _ = 1.0f16.clamp(f16::NAN, 1.0);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_max_is_nan() {
-    let _ = 1.0f16.clamp(3.0, f16::NAN);
-}
-
-#[test]
-#[cfg(not(miri))]
-#[cfg(target_has_reliable_f16_math)]
-fn test_total_cmp() {
-    use core::cmp::Ordering;
-
-    fn quiet_bit_mask() -> u16 {
-        1 << (f16::MANTISSA_DIGITS - 2)
-    }
-
-    fn min_subnorm() -> f16 {
-        f16::MIN_POSITIVE / f16::powf(2.0, f16::MANTISSA_DIGITS as f16 - 1.0)
-    }
-
-    fn max_subnorm() -> f16 {
-        f16::MIN_POSITIVE - min_subnorm()
-    }
-
-    fn q_nan() -> f16 {
-        f16::from_bits(f16::NAN.to_bits() | quiet_bit_mask())
-    }
-
-    fn s_nan() -> f16 {
-        f16::from_bits((f16::NAN.to_bits() & !quiet_bit_mask()) + 42)
-    }
-
-    assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan()));
-    assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Equal, (-f16::INFINITY).total_cmp(&-f16::INFINITY));
-    assert_eq!(Ordering::Equal, (-f16::MAX).total_cmp(&-f16::MAX));
-    assert_eq!(Ordering::Equal, (-2.5_f16).total_cmp(&-2.5));
-    assert_eq!(Ordering::Equal, (-1.0_f16).total_cmp(&-1.0));
-    assert_eq!(Ordering::Equal, (-1.5_f16).total_cmp(&-1.5));
-    assert_eq!(Ordering::Equal, (-0.5_f16).total_cmp(&-0.5));
-    assert_eq!(Ordering::Equal, (-f16::MIN_POSITIVE).total_cmp(&-f16::MIN_POSITIVE));
-    assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Equal, (-0.0_f16).total_cmp(&-0.0));
-    assert_eq!(Ordering::Equal, 0.0_f16.total_cmp(&0.0));
-    assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Equal, f16::MIN_POSITIVE.total_cmp(&f16::MIN_POSITIVE));
-    assert_eq!(Ordering::Equal, 0.5_f16.total_cmp(&0.5));
-    assert_eq!(Ordering::Equal, 1.0_f16.total_cmp(&1.0));
-    assert_eq!(Ordering::Equal, 1.5_f16.total_cmp(&1.5));
-    assert_eq!(Ordering::Equal, 2.5_f16.total_cmp(&2.5));
-    assert_eq!(Ordering::Equal, f16::MAX.total_cmp(&f16::MAX));
-    assert_eq!(Ordering::Equal, f16::INFINITY.total_cmp(&f16::INFINITY));
-    assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan()));
-    assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan()));
-
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f16::INFINITY));
-    assert_eq!(Ordering::Less, (-f16::INFINITY).total_cmp(&-f16::MAX));
-    assert_eq!(Ordering::Less, (-f16::MAX).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-2.5_f16).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-1.5_f16).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-1.0_f16).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-0.5_f16).total_cmp(&-f16::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-f16::MIN_POSITIVE).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-0.0_f16).total_cmp(&0.0));
-    assert_eq!(Ordering::Less, 0.0_f16.total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f16::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, f16::MIN_POSITIVE.total_cmp(&0.5));
-    assert_eq!(Ordering::Less, 0.5_f16.total_cmp(&1.0));
-    assert_eq!(Ordering::Less, 1.0_f16.total_cmp(&1.5));
-    assert_eq!(Ordering::Less, 1.5_f16.total_cmp(&2.5));
-    assert_eq!(Ordering::Less, 2.5_f16.total_cmp(&f16::MAX));
-    assert_eq!(Ordering::Less, f16::MAX.total_cmp(&f16::INFINITY));
-    assert_eq!(Ordering::Less, f16::INFINITY.total_cmp(&s_nan()));
-    assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan()));
-
-    assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan()));
-    assert_eq!(Ordering::Greater, (-f16::INFINITY).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Greater, (-f16::MAX).total_cmp(&-f16::INFINITY));
-    assert_eq!(Ordering::Greater, (-2.5_f16).total_cmp(&-f16::MAX));
-    assert_eq!(Ordering::Greater, (-1.5_f16).total_cmp(&-2.5));
-    assert_eq!(Ordering::Greater, (-1.0_f16).total_cmp(&-1.5));
-    assert_eq!(Ordering::Greater, (-0.5_f16).total_cmp(&-1.0));
-    assert_eq!(Ordering::Greater, (-f16::MIN_POSITIVE).total_cmp(&-0.5));
-    assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f16::MIN_POSITIVE));
-    assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Greater, (-0.0_f16).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Greater, 0.0_f16.total_cmp(&-0.0));
-    assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0));
-    assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Greater, f16::MIN_POSITIVE.total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Greater, 0.5_f16.total_cmp(&f16::MIN_POSITIVE));
-    assert_eq!(Ordering::Greater, 1.0_f16.total_cmp(&0.5));
-    assert_eq!(Ordering::Greater, 1.5_f16.total_cmp(&1.0));
-    assert_eq!(Ordering::Greater, 2.5_f16.total_cmp(&1.5));
-    assert_eq!(Ordering::Greater, f16::MAX.total_cmp(&2.5));
-    assert_eq!(Ordering::Greater, f16::INFINITY.total_cmp(&f16::MAX));
-    assert_eq!(Ordering::Greater, s_nan().total_cmp(&f16::INFINITY));
-    assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan()));
-
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f16::INFINITY));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f16::MAX));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f16::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f16::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f16::MAX));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f16::INFINITY));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan()));
-
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f16::INFINITY));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f16::MAX));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f16::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f16::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f16::MAX));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f16::INFINITY));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan()));
-}
-
-#[test]
-fn test_algebraic() {
-    let a: f16 = 123.0;
-    let b: f16 = 456.0;
-
-    // Check that individual operations match their primitive counterparts.
-    //
-    // This is a check of current implementations and does NOT imply any form of
-    // guarantee about future behavior. The compiler reserves the right to make
-    // these operations inexact matches in the future.
-    let eps_add = if cfg!(miri) { 1e1 } else { 0.0 };
-    let eps_mul = if cfg!(miri) { 1e3 } else { 0.0 };
-    let eps_div = if cfg!(miri) { 1e0 } else { 0.0 };
-
-    assert_approx_eq!(a.algebraic_add(b), a + b, eps_add);
-    assert_approx_eq!(a.algebraic_sub(b), a - b, eps_add);
-    assert_approx_eq!(a.algebraic_mul(b), a * b, eps_mul);
-    assert_approx_eq!(a.algebraic_div(b), a / b, eps_div);
-    assert_approx_eq!(a.algebraic_rem(b), a % b, eps_div);
-}
-
-#[test]
-fn test_from() {
-    assert_eq!(f16::from(false), 0.0);
-    assert_eq!(f16::from(true), 1.0);
-    assert_eq!(f16::from(u8::MIN), 0.0);
-    assert_eq!(f16::from(42_u8), 42.0);
-    assert_eq!(f16::from(u8::MAX), 255.0);
-    assert_eq!(f16::from(i8::MIN), -128.0);
-    assert_eq!(f16::from(42_i8), 42.0);
-    assert_eq!(f16::from(i8::MAX), 127.0);
-}
diff --git a/library/std/tests/floats/f32.rs b/library/std/tests/floats/f32.rs
index 9af23afc5bb..e54f227bb77 100644
--- a/library/std/tests/floats/f32.rs
+++ b/library/std/tests/floats/f32.rs
@@ -1,26 +1,4 @@
 use std::f32::consts;
-use std::num::FpCategory as Fp;
-
-/// Smallest number
-const TINY_BITS: u32 = 0x1;
-
-/// Next smallest number
-const TINY_UP_BITS: u32 = 0x2;
-
-/// Exponent = 0b11...10, Sifnificand 0b1111..10. Min val > 0
-const MAX_DOWN_BITS: u32 = 0x7f7f_fffe;
-
-/// Zeroed exponent, full significant
-const LARGEST_SUBNORMAL_BITS: u32 = 0x007f_ffff;
-
-/// Exponent = 0b1, zeroed significand
-const SMALLEST_NORMAL_BITS: u32 = 0x0080_0000;
-
-/// First pattern over the mantissa
-const NAN_MASK1: u32 = 0x002a_aaaa;
-
-/// Second pattern over the mantissa
-const NAN_MASK2: u32 = 0x0055_5555;
 
 #[allow(unused_macros)]
 macro_rules! assert_f32_biteq {
@@ -34,426 +12,6 @@ macro_rules! assert_f32_biteq {
 }
 
 #[test]
-fn test_num_f32() {
-    crate::test_num(10f32, 2f32);
-}
-
-#[test]
-fn test_min_nan() {
-    assert_eq!(f32::NAN.min(2.0), 2.0);
-    assert_eq!(2.0f32.min(f32::NAN), 2.0);
-}
-
-#[test]
-fn test_max_nan() {
-    assert_eq!(f32::NAN.max(2.0), 2.0);
-    assert_eq!(2.0f32.max(f32::NAN), 2.0);
-}
-
-#[test]
-fn test_minimum() {
-    assert!(f32::NAN.minimum(2.0).is_nan());
-    assert!(2.0f32.minimum(f32::NAN).is_nan());
-}
-
-#[test]
-fn test_maximum() {
-    assert!(f32::NAN.maximum(2.0).is_nan());
-    assert!(2.0f32.maximum(f32::NAN).is_nan());
-}
-
-#[test]
-fn test_nan() {
-    let nan: f32 = f32::NAN;
-    assert!(nan.is_nan());
-    assert!(!nan.is_infinite());
-    assert!(!nan.is_finite());
-    assert!(!nan.is_normal());
-    assert!(nan.is_sign_positive());
-    assert!(!nan.is_sign_negative());
-    assert_eq!(Fp::Nan, nan.classify());
-    // Ensure the quiet bit is set.
-    assert!(nan.to_bits() & (1 << (f32::MANTISSA_DIGITS - 2)) != 0);
-}
-
-#[test]
-fn test_infinity() {
-    let inf: f32 = f32::INFINITY;
-    assert!(inf.is_infinite());
-    assert!(!inf.is_finite());
-    assert!(inf.is_sign_positive());
-    assert!(!inf.is_sign_negative());
-    assert!(!inf.is_nan());
-    assert!(!inf.is_normal());
-    assert_eq!(Fp::Infinite, inf.classify());
-}
-
-#[test]
-fn test_neg_infinity() {
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert!(neg_inf.is_infinite());
-    assert!(!neg_inf.is_finite());
-    assert!(!neg_inf.is_sign_positive());
-    assert!(neg_inf.is_sign_negative());
-    assert!(!neg_inf.is_nan());
-    assert!(!neg_inf.is_normal());
-    assert_eq!(Fp::Infinite, neg_inf.classify());
-}
-
-#[test]
-fn test_zero() {
-    let zero: f32 = 0.0f32;
-    assert_eq!(0.0, zero);
-    assert!(!zero.is_infinite());
-    assert!(zero.is_finite());
-    assert!(zero.is_sign_positive());
-    assert!(!zero.is_sign_negative());
-    assert!(!zero.is_nan());
-    assert!(!zero.is_normal());
-    assert_eq!(Fp::Zero, zero.classify());
-}
-
-#[test]
-fn test_neg_zero() {
-    let neg_zero: f32 = -0.0;
-    assert_eq!(0.0, neg_zero);
-    assert!(!neg_zero.is_infinite());
-    assert!(neg_zero.is_finite());
-    assert!(!neg_zero.is_sign_positive());
-    assert!(neg_zero.is_sign_negative());
-    assert!(!neg_zero.is_nan());
-    assert!(!neg_zero.is_normal());
-    assert_eq!(Fp::Zero, neg_zero.classify());
-}
-
-#[test]
-fn test_one() {
-    let one: f32 = 1.0f32;
-    assert_eq!(1.0, one);
-    assert!(!one.is_infinite());
-    assert!(one.is_finite());
-    assert!(one.is_sign_positive());
-    assert!(!one.is_sign_negative());
-    assert!(!one.is_nan());
-    assert!(one.is_normal());
-    assert_eq!(Fp::Normal, one.classify());
-}
-
-#[test]
-fn test_is_nan() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert!(nan.is_nan());
-    assert!(!0.0f32.is_nan());
-    assert!(!5.3f32.is_nan());
-    assert!(!(-10.732f32).is_nan());
-    assert!(!inf.is_nan());
-    assert!(!neg_inf.is_nan());
-}
-
-#[test]
-fn test_is_infinite() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert!(!nan.is_infinite());
-    assert!(inf.is_infinite());
-    assert!(neg_inf.is_infinite());
-    assert!(!0.0f32.is_infinite());
-    assert!(!42.8f32.is_infinite());
-    assert!(!(-109.2f32).is_infinite());
-}
-
-#[test]
-fn test_is_finite() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert!(!nan.is_finite());
-    assert!(!inf.is_finite());
-    assert!(!neg_inf.is_finite());
-    assert!(0.0f32.is_finite());
-    assert!(42.8f32.is_finite());
-    assert!((-109.2f32).is_finite());
-}
-
-#[test]
-fn test_is_normal() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    let zero: f32 = 0.0f32;
-    let neg_zero: f32 = -0.0;
-    assert!(!nan.is_normal());
-    assert!(!inf.is_normal());
-    assert!(!neg_inf.is_normal());
-    assert!(!zero.is_normal());
-    assert!(!neg_zero.is_normal());
-    assert!(1f32.is_normal());
-    assert!(1e-37f32.is_normal());
-    assert!(!1e-38f32.is_normal());
-}
-
-#[test]
-fn test_classify() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    let zero: f32 = 0.0f32;
-    let neg_zero: f32 = -0.0;
-    assert_eq!(nan.classify(), Fp::Nan);
-    assert_eq!(inf.classify(), Fp::Infinite);
-    assert_eq!(neg_inf.classify(), Fp::Infinite);
-    assert_eq!(zero.classify(), Fp::Zero);
-    assert_eq!(neg_zero.classify(), Fp::Zero);
-    assert_eq!(1f32.classify(), Fp::Normal);
-    assert_eq!(1e-37f32.classify(), Fp::Normal);
-    assert_eq!(1e-38f32.classify(), Fp::Subnormal);
-}
-
-#[test]
-fn test_floor() {
-    assert_approx_eq!(1.0f32.floor(), 1.0f32);
-    assert_approx_eq!(1.3f32.floor(), 1.0f32);
-    assert_approx_eq!(1.5f32.floor(), 1.0f32);
-    assert_approx_eq!(1.7f32.floor(), 1.0f32);
-    assert_approx_eq!(0.0f32.floor(), 0.0f32);
-    assert_approx_eq!((-0.0f32).floor(), -0.0f32);
-    assert_approx_eq!((-1.0f32).floor(), -1.0f32);
-    assert_approx_eq!((-1.3f32).floor(), -2.0f32);
-    assert_approx_eq!((-1.5f32).floor(), -2.0f32);
-    assert_approx_eq!((-1.7f32).floor(), -2.0f32);
-}
-
-#[test]
-fn test_ceil() {
-    assert_approx_eq!(1.0f32.ceil(), 1.0f32);
-    assert_approx_eq!(1.3f32.ceil(), 2.0f32);
-    assert_approx_eq!(1.5f32.ceil(), 2.0f32);
-    assert_approx_eq!(1.7f32.ceil(), 2.0f32);
-    assert_approx_eq!(0.0f32.ceil(), 0.0f32);
-    assert_approx_eq!((-0.0f32).ceil(), -0.0f32);
-    assert_approx_eq!((-1.0f32).ceil(), -1.0f32);
-    assert_approx_eq!((-1.3f32).ceil(), -1.0f32);
-    assert_approx_eq!((-1.5f32).ceil(), -1.0f32);
-    assert_approx_eq!((-1.7f32).ceil(), -1.0f32);
-}
-
-#[test]
-fn test_round() {
-    assert_approx_eq!(2.5f32.round(), 3.0f32);
-    assert_approx_eq!(1.0f32.round(), 1.0f32);
-    assert_approx_eq!(1.3f32.round(), 1.0f32);
-    assert_approx_eq!(1.5f32.round(), 2.0f32);
-    assert_approx_eq!(1.7f32.round(), 2.0f32);
-    assert_approx_eq!(0.0f32.round(), 0.0f32);
-    assert_approx_eq!((-0.0f32).round(), -0.0f32);
-    assert_approx_eq!((-1.0f32).round(), -1.0f32);
-    assert_approx_eq!((-1.3f32).round(), -1.0f32);
-    assert_approx_eq!((-1.5f32).round(), -2.0f32);
-    assert_approx_eq!((-1.7f32).round(), -2.0f32);
-}
-
-#[test]
-fn test_round_ties_even() {
-    assert_approx_eq!(2.5f32.round_ties_even(), 2.0f32);
-    assert_approx_eq!(1.0f32.round_ties_even(), 1.0f32);
-    assert_approx_eq!(1.3f32.round_ties_even(), 1.0f32);
-    assert_approx_eq!(1.5f32.round_ties_even(), 2.0f32);
-    assert_approx_eq!(1.7f32.round_ties_even(), 2.0f32);
-    assert_approx_eq!(0.0f32.round_ties_even(), 0.0f32);
-    assert_approx_eq!((-0.0f32).round_ties_even(), -0.0f32);
-    assert_approx_eq!((-1.0f32).round_ties_even(), -1.0f32);
-    assert_approx_eq!((-1.3f32).round_ties_even(), -1.0f32);
-    assert_approx_eq!((-1.5f32).round_ties_even(), -2.0f32);
-    assert_approx_eq!((-1.7f32).round_ties_even(), -2.0f32);
-}
-
-#[test]
-fn test_trunc() {
-    assert_approx_eq!(1.0f32.trunc(), 1.0f32);
-    assert_approx_eq!(1.3f32.trunc(), 1.0f32);
-    assert_approx_eq!(1.5f32.trunc(), 1.0f32);
-    assert_approx_eq!(1.7f32.trunc(), 1.0f32);
-    assert_approx_eq!(0.0f32.trunc(), 0.0f32);
-    assert_approx_eq!((-0.0f32).trunc(), -0.0f32);
-    assert_approx_eq!((-1.0f32).trunc(), -1.0f32);
-    assert_approx_eq!((-1.3f32).trunc(), -1.0f32);
-    assert_approx_eq!((-1.5f32).trunc(), -1.0f32);
-    assert_approx_eq!((-1.7f32).trunc(), -1.0f32);
-}
-
-#[test]
-fn test_fract() {
-    assert_approx_eq!(1.0f32.fract(), 0.0f32);
-    assert_approx_eq!(1.3f32.fract(), 0.3f32);
-    assert_approx_eq!(1.5f32.fract(), 0.5f32);
-    assert_approx_eq!(1.7f32.fract(), 0.7f32);
-    assert_approx_eq!(0.0f32.fract(), 0.0f32);
-    assert_approx_eq!((-0.0f32).fract(), -0.0f32);
-    assert_approx_eq!((-1.0f32).fract(), -0.0f32);
-    assert_approx_eq!((-1.3f32).fract(), -0.3f32);
-    assert_approx_eq!((-1.5f32).fract(), -0.5f32);
-    assert_approx_eq!((-1.7f32).fract(), -0.7f32);
-}
-
-#[test]
-fn test_abs() {
-    assert_eq!(f32::INFINITY.abs(), f32::INFINITY);
-    assert_eq!(1f32.abs(), 1f32);
-    assert_eq!(0f32.abs(), 0f32);
-    assert_eq!((-0f32).abs(), 0f32);
-    assert_eq!((-1f32).abs(), 1f32);
-    assert_eq!(f32::NEG_INFINITY.abs(), f32::INFINITY);
-    assert_eq!((1f32 / f32::NEG_INFINITY).abs(), 0f32);
-    assert!(f32::NAN.abs().is_nan());
-}
-
-#[test]
-fn test_signum() {
-    assert_eq!(f32::INFINITY.signum(), 1f32);
-    assert_eq!(1f32.signum(), 1f32);
-    assert_eq!(0f32.signum(), 1f32);
-    assert_eq!((-0f32).signum(), -1f32);
-    assert_eq!((-1f32).signum(), -1f32);
-    assert_eq!(f32::NEG_INFINITY.signum(), -1f32);
-    assert_eq!((1f32 / f32::NEG_INFINITY).signum(), -1f32);
-    assert!(f32::NAN.signum().is_nan());
-}
-
-#[test]
-fn test_is_sign_positive() {
-    assert!(f32::INFINITY.is_sign_positive());
-    assert!(1f32.is_sign_positive());
-    assert!(0f32.is_sign_positive());
-    assert!(!(-0f32).is_sign_positive());
-    assert!(!(-1f32).is_sign_positive());
-    assert!(!f32::NEG_INFINITY.is_sign_positive());
-    assert!(!(1f32 / f32::NEG_INFINITY).is_sign_positive());
-    assert!(f32::NAN.is_sign_positive());
-    assert!(!(-f32::NAN).is_sign_positive());
-}
-
-#[test]
-fn test_is_sign_negative() {
-    assert!(!f32::INFINITY.is_sign_negative());
-    assert!(!1f32.is_sign_negative());
-    assert!(!0f32.is_sign_negative());
-    assert!((-0f32).is_sign_negative());
-    assert!((-1f32).is_sign_negative());
-    assert!(f32::NEG_INFINITY.is_sign_negative());
-    assert!((1f32 / f32::NEG_INFINITY).is_sign_negative());
-    assert!(!f32::NAN.is_sign_negative());
-    assert!((-f32::NAN).is_sign_negative());
-}
-
-#[test]
-fn test_next_up() {
-    let tiny = f32::from_bits(TINY_BITS);
-    let tiny_up = f32::from_bits(TINY_UP_BITS);
-    let max_down = f32::from_bits(MAX_DOWN_BITS);
-    let largest_subnormal = f32::from_bits(LARGEST_SUBNORMAL_BITS);
-    let smallest_normal = f32::from_bits(SMALLEST_NORMAL_BITS);
-    assert_f32_biteq!(f32::NEG_INFINITY.next_up(), f32::MIN);
-    assert_f32_biteq!(f32::MIN.next_up(), -max_down);
-    assert_f32_biteq!((-1.0 - f32::EPSILON).next_up(), -1.0);
-    assert_f32_biteq!((-smallest_normal).next_up(), -largest_subnormal);
-    assert_f32_biteq!((-tiny_up).next_up(), -tiny);
-    assert_f32_biteq!((-tiny).next_up(), -0.0f32);
-    assert_f32_biteq!((-0.0f32).next_up(), tiny);
-    assert_f32_biteq!(0.0f32.next_up(), tiny);
-    assert_f32_biteq!(tiny.next_up(), tiny_up);
-    assert_f32_biteq!(largest_subnormal.next_up(), smallest_normal);
-    assert_f32_biteq!(1.0f32.next_up(), 1.0 + f32::EPSILON);
-    assert_f32_biteq!(f32::MAX.next_up(), f32::INFINITY);
-    assert_f32_biteq!(f32::INFINITY.next_up(), f32::INFINITY);
-
-    // Check that NaNs roundtrip.
-    let nan0 = f32::NAN;
-    let nan1 = f32::from_bits(f32::NAN.to_bits() ^ NAN_MASK1);
-    let nan2 = f32::from_bits(f32::NAN.to_bits() ^ NAN_MASK2);
-    assert_f32_biteq!(nan0.next_up(), nan0);
-    assert_f32_biteq!(nan1.next_up(), nan1);
-    assert_f32_biteq!(nan2.next_up(), nan2);
-}
-
-#[test]
-fn test_next_down() {
-    let tiny = f32::from_bits(TINY_BITS);
-    let tiny_up = f32::from_bits(TINY_UP_BITS);
-    let max_down = f32::from_bits(MAX_DOWN_BITS);
-    let largest_subnormal = f32::from_bits(LARGEST_SUBNORMAL_BITS);
-    let smallest_normal = f32::from_bits(SMALLEST_NORMAL_BITS);
-    assert_f32_biteq!(f32::NEG_INFINITY.next_down(), f32::NEG_INFINITY);
-    assert_f32_biteq!(f32::MIN.next_down(), f32::NEG_INFINITY);
-    assert_f32_biteq!((-max_down).next_down(), f32::MIN);
-    assert_f32_biteq!((-1.0f32).next_down(), -1.0 - f32::EPSILON);
-    assert_f32_biteq!((-largest_subnormal).next_down(), -smallest_normal);
-    assert_f32_biteq!((-tiny).next_down(), -tiny_up);
-    assert_f32_biteq!((-0.0f32).next_down(), -tiny);
-    assert_f32_biteq!((0.0f32).next_down(), -tiny);
-    assert_f32_biteq!(tiny.next_down(), 0.0f32);
-    assert_f32_biteq!(tiny_up.next_down(), tiny);
-    assert_f32_biteq!(smallest_normal.next_down(), largest_subnormal);
-    assert_f32_biteq!((1.0 + f32::EPSILON).next_down(), 1.0f32);
-    assert_f32_biteq!(f32::MAX.next_down(), max_down);
-    assert_f32_biteq!(f32::INFINITY.next_down(), f32::MAX);
-
-    // Check that NaNs roundtrip.
-    let nan0 = f32::NAN;
-    let nan1 = f32::from_bits(f32::NAN.to_bits() ^ NAN_MASK1);
-    let nan2 = f32::from_bits(f32::NAN.to_bits() ^ NAN_MASK2);
-    assert_f32_biteq!(nan0.next_down(), nan0);
-    assert_f32_biteq!(nan1.next_down(), nan1);
-    assert_f32_biteq!(nan2.next_down(), nan2);
-}
-
-#[test]
-fn test_mul_add() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert_approx_eq!(12.3f32.mul_add(4.5, 6.7), 62.05);
-    assert_approx_eq!((-12.3f32).mul_add(-4.5, -6.7), 48.65);
-    assert_approx_eq!(0.0f32.mul_add(8.9, 1.2), 1.2);
-    assert_approx_eq!(3.4f32.mul_add(-0.0, 5.6), 5.6);
-    assert!(nan.mul_add(7.8, 9.0).is_nan());
-    assert_eq!(inf.mul_add(7.8, 9.0), inf);
-    assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf);
-    assert_eq!(8.9f32.mul_add(inf, 3.2), inf);
-    assert_eq!((-3.2f32).mul_add(2.4, neg_inf), neg_inf);
-}
-
-#[test]
-fn test_recip() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert_eq!(1.0f32.recip(), 1.0);
-    assert_eq!(2.0f32.recip(), 0.5);
-    assert_eq!((-0.4f32).recip(), -2.5);
-    assert_eq!(0.0f32.recip(), inf);
-    assert!(nan.recip().is_nan());
-    assert_eq!(inf.recip(), 0.0);
-    assert_eq!(neg_inf.recip(), 0.0);
-}
-
-#[test]
-fn test_powi() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert_eq!(1.0f32.powi(1), 1.0);
-    assert_approx_eq!((-3.1f32).powi(2), 9.61);
-    assert_approx_eq!(5.9f32.powi(-2), 0.028727);
-    assert_eq!(8.3f32.powi(0), 1.0);
-    assert!(nan.powi(2).is_nan());
-    assert_eq!(inf.powi(3), inf);
-    assert_eq!(neg_inf.powi(2), inf);
-}
-
-#[test]
 fn test_powf() {
     let nan: f32 = f32::NAN;
     let inf: f32 = f32::INFINITY;
@@ -470,17 +28,6 @@ fn test_powf() {
 }
 
 #[test]
-fn test_sqrt_domain() {
-    assert!(f32::NAN.sqrt().is_nan());
-    assert!(f32::NEG_INFINITY.sqrt().is_nan());
-    assert!((-1.0f32).sqrt().is_nan());
-    assert_eq!((-0.0f32).sqrt(), -0.0);
-    assert_eq!(0.0f32.sqrt(), 0.0);
-    assert_eq!(1.0f32.sqrt(), 1.0);
-    assert_eq!(f32::INFINITY.sqrt(), f32::INFINITY);
-}
-
-#[test]
 fn test_exp() {
     assert_eq!(1.0, 0.0f32.exp());
     assert_approx_eq!(2.718282, 1.0f32.exp());
@@ -574,36 +121,6 @@ fn test_log10() {
 }
 
 #[test]
-fn test_to_degrees() {
-    let pi: f32 = consts::PI;
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert_eq!(0.0f32.to_degrees(), 0.0);
-    assert_approx_eq!((-5.8f32).to_degrees(), -332.315521);
-    assert_eq!(pi.to_degrees(), 180.0);
-    assert!(nan.to_degrees().is_nan());
-    assert_eq!(inf.to_degrees(), inf);
-    assert_eq!(neg_inf.to_degrees(), neg_inf);
-    assert_eq!(1_f32.to_degrees(), 57.2957795130823208767981548141051703);
-}
-
-#[test]
-fn test_to_radians() {
-    let pi: f32 = consts::PI;
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert_eq!(0.0f32.to_radians(), 0.0);
-    assert_approx_eq!(154.6f32.to_radians(), 2.698279);
-    assert_approx_eq!((-332.31f32).to_radians(), -5.799903);
-    assert_eq!(180.0f32.to_radians(), pi);
-    assert!(nan.to_radians().is_nan());
-    assert_eq!(inf.to_radians(), inf);
-    assert_eq!(neg_inf.to_radians(), neg_inf);
-}
-
-#[test]
 fn test_asinh() {
     assert_eq!(0.0f32.asinh(), 0.0f32);
     assert_eq!((-0.0f32).asinh(), -0.0f32);
@@ -734,207 +251,3 @@ fn test_real_consts() {
     assert_approx_eq!(ln_2, 2f32.ln());
     assert_approx_eq!(ln_10, 10f32.ln());
 }
-
-#[test]
-fn test_float_bits_conv() {
-    assert_eq!((1f32).to_bits(), 0x3f800000);
-    assert_eq!((12.5f32).to_bits(), 0x41480000);
-    assert_eq!((1337f32).to_bits(), 0x44a72000);
-    assert_eq!((-14.25f32).to_bits(), 0xc1640000);
-    assert_approx_eq!(f32::from_bits(0x3f800000), 1.0);
-    assert_approx_eq!(f32::from_bits(0x41480000), 12.5);
-    assert_approx_eq!(f32::from_bits(0x44a72000), 1337.0);
-    assert_approx_eq!(f32::from_bits(0xc1640000), -14.25);
-
-    // Check that NaNs roundtrip their bits regardless of signaling-ness
-    // 0xA is 0b1010; 0x5 is 0b0101 -- so these two together clobbers all the mantissa bits
-    let masked_nan1 = f32::NAN.to_bits() ^ NAN_MASK1;
-    let masked_nan2 = f32::NAN.to_bits() ^ NAN_MASK2;
-    assert!(f32::from_bits(masked_nan1).is_nan());
-    assert!(f32::from_bits(masked_nan2).is_nan());
-
-    assert_eq!(f32::from_bits(masked_nan1).to_bits(), masked_nan1);
-    assert_eq!(f32::from_bits(masked_nan2).to_bits(), masked_nan2);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_min_greater_than_max() {
-    let _ = 1.0f32.clamp(3.0, 1.0);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_min_is_nan() {
-    let _ = 1.0f32.clamp(f32::NAN, 1.0);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_max_is_nan() {
-    let _ = 1.0f32.clamp(3.0, f32::NAN);
-}
-
-#[test]
-fn test_total_cmp() {
-    use core::cmp::Ordering;
-
-    fn quiet_bit_mask() -> u32 {
-        1 << (f32::MANTISSA_DIGITS - 2)
-    }
-
-    fn min_subnorm() -> f32 {
-        f32::MIN_POSITIVE / f32::powf(2.0, f32::MANTISSA_DIGITS as f32 - 1.0)
-    }
-
-    fn max_subnorm() -> f32 {
-        f32::MIN_POSITIVE - min_subnorm()
-    }
-
-    fn q_nan() -> f32 {
-        f32::from_bits(f32::NAN.to_bits() | quiet_bit_mask())
-    }
-
-    fn s_nan() -> f32 {
-        f32::from_bits((f32::NAN.to_bits() & !quiet_bit_mask()) + 42)
-    }
-
-    assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan()));
-    assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Equal, (-f32::INFINITY).total_cmp(&-f32::INFINITY));
-    assert_eq!(Ordering::Equal, (-f32::MAX).total_cmp(&-f32::MAX));
-    assert_eq!(Ordering::Equal, (-2.5_f32).total_cmp(&-2.5));
-    assert_eq!(Ordering::Equal, (-1.0_f32).total_cmp(&-1.0));
-    assert_eq!(Ordering::Equal, (-1.5_f32).total_cmp(&-1.5));
-    assert_eq!(Ordering::Equal, (-0.5_f32).total_cmp(&-0.5));
-    assert_eq!(Ordering::Equal, (-f32::MIN_POSITIVE).total_cmp(&-f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Equal, (-0.0_f32).total_cmp(&-0.0));
-    assert_eq!(Ordering::Equal, 0.0_f32.total_cmp(&0.0));
-    assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Equal, f32::MIN_POSITIVE.total_cmp(&f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Equal, 0.5_f32.total_cmp(&0.5));
-    assert_eq!(Ordering::Equal, 1.0_f32.total_cmp(&1.0));
-    assert_eq!(Ordering::Equal, 1.5_f32.total_cmp(&1.5));
-    assert_eq!(Ordering::Equal, 2.5_f32.total_cmp(&2.5));
-    assert_eq!(Ordering::Equal, f32::MAX.total_cmp(&f32::MAX));
-    assert_eq!(Ordering::Equal, f32::INFINITY.total_cmp(&f32::INFINITY));
-    assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan()));
-    assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan()));
-
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::INFINITY));
-    assert_eq!(Ordering::Less, (-f32::INFINITY).total_cmp(&-f32::MAX));
-    assert_eq!(Ordering::Less, (-f32::MAX).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-2.5_f32).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-1.5_f32).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-1.0_f32).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-0.5_f32).total_cmp(&-f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-f32::MIN_POSITIVE).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-0.0_f32).total_cmp(&0.0));
-    assert_eq!(Ordering::Less, 0.0_f32.total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, f32::MIN_POSITIVE.total_cmp(&0.5));
-    assert_eq!(Ordering::Less, 0.5_f32.total_cmp(&1.0));
-    assert_eq!(Ordering::Less, 1.0_f32.total_cmp(&1.5));
-    assert_eq!(Ordering::Less, 1.5_f32.total_cmp(&2.5));
-    assert_eq!(Ordering::Less, 2.5_f32.total_cmp(&f32::MAX));
-    assert_eq!(Ordering::Less, f32::MAX.total_cmp(&f32::INFINITY));
-    assert_eq!(Ordering::Less, f32::INFINITY.total_cmp(&s_nan()));
-    assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan()));
-
-    assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan()));
-    assert_eq!(Ordering::Greater, (-f32::INFINITY).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Greater, (-f32::MAX).total_cmp(&-f32::INFINITY));
-    assert_eq!(Ordering::Greater, (-2.5_f32).total_cmp(&-f32::MAX));
-    assert_eq!(Ordering::Greater, (-1.5_f32).total_cmp(&-2.5));
-    assert_eq!(Ordering::Greater, (-1.0_f32).total_cmp(&-1.5));
-    assert_eq!(Ordering::Greater, (-0.5_f32).total_cmp(&-1.0));
-    assert_eq!(Ordering::Greater, (-f32::MIN_POSITIVE).total_cmp(&-0.5));
-    assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Greater, (-0.0_f32).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Greater, 0.0_f32.total_cmp(&-0.0));
-    assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0));
-    assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Greater, f32::MIN_POSITIVE.total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Greater, 0.5_f32.total_cmp(&f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Greater, 1.0_f32.total_cmp(&0.5));
-    assert_eq!(Ordering::Greater, 1.5_f32.total_cmp(&1.0));
-    assert_eq!(Ordering::Greater, 2.5_f32.total_cmp(&1.5));
-    assert_eq!(Ordering::Greater, f32::MAX.total_cmp(&2.5));
-    assert_eq!(Ordering::Greater, f32::INFINITY.total_cmp(&f32::MAX));
-    assert_eq!(Ordering::Greater, s_nan().total_cmp(&f32::INFINITY));
-    assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan()));
-
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f32::INFINITY));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f32::MAX));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f32::MAX));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f32::INFINITY));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan()));
-
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::INFINITY));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::MAX));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f32::MAX));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f32::INFINITY));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan()));
-}
-
-#[test]
-fn test_algebraic() {
-    let a: f32 = 123.0;
-    let b: f32 = 456.0;
-
-    // Check that individual operations match their primitive counterparts.
-    //
-    // This is a check of current implementations and does NOT imply any form of
-    // guarantee about future behavior. The compiler reserves the right to make
-    // these operations inexact matches in the future.
-    let eps_add = if cfg!(miri) { 1e-3 } else { 0.0 };
-    let eps_mul = if cfg!(miri) { 1e-1 } else { 0.0 };
-    let eps_div = if cfg!(miri) { 1e-4 } else { 0.0 };
-
-    assert_approx_eq!(a.algebraic_add(b), a + b, eps_add);
-    assert_approx_eq!(a.algebraic_sub(b), a - b, eps_add);
-    assert_approx_eq!(a.algebraic_mul(b), a * b, eps_mul);
-    assert_approx_eq!(a.algebraic_div(b), a / b, eps_div);
-    assert_approx_eq!(a.algebraic_rem(b), a % b, eps_div);
-}
diff --git a/library/std/tests/floats/f64.rs b/library/std/tests/floats/f64.rs
index de9c27eb33d..2d8dd1cf091 100644
--- a/library/std/tests/floats/f64.rs
+++ b/library/std/tests/floats/f64.rs
@@ -1,26 +1,4 @@
 use std::f64::consts;
-use std::num::FpCategory as Fp;
-
-/// Smallest number
-const TINY_BITS: u64 = 0x1;
-
-/// Next smallest number
-const TINY_UP_BITS: u64 = 0x2;
-
-/// Exponent = 0b11...10, Sifnificand 0b1111..10. Min val > 0
-const MAX_DOWN_BITS: u64 = 0x7fef_ffff_ffff_fffe;
-
-/// Zeroed exponent, full significant
-const LARGEST_SUBNORMAL_BITS: u64 = 0x000f_ffff_ffff_ffff;
-
-/// Exponent = 0b1, zeroed significand
-const SMALLEST_NORMAL_BITS: u64 = 0x0010_0000_0000_0000;
-
-/// First pattern over the mantissa
-const NAN_MASK1: u64 = 0x000a_aaaa_aaaa_aaaa;
-
-/// Second pattern over the mantissa
-const NAN_MASK2: u64 = 0x0005_5555_5555_5555;
 
 #[allow(unused_macros)]
 macro_rules! assert_f64_biteq {
@@ -34,411 +12,6 @@ macro_rules! assert_f64_biteq {
 }
 
 #[test]
-fn test_num_f64() {
-    crate::test_num(10f64, 2f64);
-}
-
-#[test]
-fn test_min_nan() {
-    assert_eq!(f64::NAN.min(2.0), 2.0);
-    assert_eq!(2.0f64.min(f64::NAN), 2.0);
-}
-
-#[test]
-fn test_max_nan() {
-    assert_eq!(f64::NAN.max(2.0), 2.0);
-    assert_eq!(2.0f64.max(f64::NAN), 2.0);
-}
-
-#[test]
-fn test_nan() {
-    let nan: f64 = f64::NAN;
-    assert!(nan.is_nan());
-    assert!(!nan.is_infinite());
-    assert!(!nan.is_finite());
-    assert!(!nan.is_normal());
-    assert!(nan.is_sign_positive());
-    assert!(!nan.is_sign_negative());
-    assert_eq!(Fp::Nan, nan.classify());
-    // Ensure the quiet bit is set.
-    assert!(nan.to_bits() & (1 << (f64::MANTISSA_DIGITS - 2)) != 0);
-}
-
-#[test]
-fn test_infinity() {
-    let inf: f64 = f64::INFINITY;
-    assert!(inf.is_infinite());
-    assert!(!inf.is_finite());
-    assert!(inf.is_sign_positive());
-    assert!(!inf.is_sign_negative());
-    assert!(!inf.is_nan());
-    assert!(!inf.is_normal());
-    assert_eq!(Fp::Infinite, inf.classify());
-}
-
-#[test]
-fn test_neg_infinity() {
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert!(neg_inf.is_infinite());
-    assert!(!neg_inf.is_finite());
-    assert!(!neg_inf.is_sign_positive());
-    assert!(neg_inf.is_sign_negative());
-    assert!(!neg_inf.is_nan());
-    assert!(!neg_inf.is_normal());
-    assert_eq!(Fp::Infinite, neg_inf.classify());
-}
-
-#[test]
-fn test_zero() {
-    let zero: f64 = 0.0f64;
-    assert_eq!(0.0, zero);
-    assert!(!zero.is_infinite());
-    assert!(zero.is_finite());
-    assert!(zero.is_sign_positive());
-    assert!(!zero.is_sign_negative());
-    assert!(!zero.is_nan());
-    assert!(!zero.is_normal());
-    assert_eq!(Fp::Zero, zero.classify());
-}
-
-#[test]
-fn test_neg_zero() {
-    let neg_zero: f64 = -0.0;
-    assert_eq!(0.0, neg_zero);
-    assert!(!neg_zero.is_infinite());
-    assert!(neg_zero.is_finite());
-    assert!(!neg_zero.is_sign_positive());
-    assert!(neg_zero.is_sign_negative());
-    assert!(!neg_zero.is_nan());
-    assert!(!neg_zero.is_normal());
-    assert_eq!(Fp::Zero, neg_zero.classify());
-}
-
-#[test]
-fn test_one() {
-    let one: f64 = 1.0f64;
-    assert_eq!(1.0, one);
-    assert!(!one.is_infinite());
-    assert!(one.is_finite());
-    assert!(one.is_sign_positive());
-    assert!(!one.is_sign_negative());
-    assert!(!one.is_nan());
-    assert!(one.is_normal());
-    assert_eq!(Fp::Normal, one.classify());
-}
-
-#[test]
-fn test_is_nan() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert!(nan.is_nan());
-    assert!(!0.0f64.is_nan());
-    assert!(!5.3f64.is_nan());
-    assert!(!(-10.732f64).is_nan());
-    assert!(!inf.is_nan());
-    assert!(!neg_inf.is_nan());
-}
-
-#[test]
-fn test_is_infinite() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert!(!nan.is_infinite());
-    assert!(inf.is_infinite());
-    assert!(neg_inf.is_infinite());
-    assert!(!0.0f64.is_infinite());
-    assert!(!42.8f64.is_infinite());
-    assert!(!(-109.2f64).is_infinite());
-}
-
-#[test]
-fn test_is_finite() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert!(!nan.is_finite());
-    assert!(!inf.is_finite());
-    assert!(!neg_inf.is_finite());
-    assert!(0.0f64.is_finite());
-    assert!(42.8f64.is_finite());
-    assert!((-109.2f64).is_finite());
-}
-
-#[test]
-fn test_is_normal() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    let zero: f64 = 0.0f64;
-    let neg_zero: f64 = -0.0;
-    assert!(!nan.is_normal());
-    assert!(!inf.is_normal());
-    assert!(!neg_inf.is_normal());
-    assert!(!zero.is_normal());
-    assert!(!neg_zero.is_normal());
-    assert!(1f64.is_normal());
-    assert!(1e-307f64.is_normal());
-    assert!(!1e-308f64.is_normal());
-}
-
-#[test]
-fn test_classify() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    let zero: f64 = 0.0f64;
-    let neg_zero: f64 = -0.0;
-    assert_eq!(nan.classify(), Fp::Nan);
-    assert_eq!(inf.classify(), Fp::Infinite);
-    assert_eq!(neg_inf.classify(), Fp::Infinite);
-    assert_eq!(zero.classify(), Fp::Zero);
-    assert_eq!(neg_zero.classify(), Fp::Zero);
-    assert_eq!(1e-307f64.classify(), Fp::Normal);
-    assert_eq!(1e-308f64.classify(), Fp::Subnormal);
-}
-
-#[test]
-fn test_floor() {
-    assert_approx_eq!(1.0f64.floor(), 1.0f64);
-    assert_approx_eq!(1.3f64.floor(), 1.0f64);
-    assert_approx_eq!(1.5f64.floor(), 1.0f64);
-    assert_approx_eq!(1.7f64.floor(), 1.0f64);
-    assert_approx_eq!(0.0f64.floor(), 0.0f64);
-    assert_approx_eq!((-0.0f64).floor(), -0.0f64);
-    assert_approx_eq!((-1.0f64).floor(), -1.0f64);
-    assert_approx_eq!((-1.3f64).floor(), -2.0f64);
-    assert_approx_eq!((-1.5f64).floor(), -2.0f64);
-    assert_approx_eq!((-1.7f64).floor(), -2.0f64);
-}
-
-#[test]
-fn test_ceil() {
-    assert_approx_eq!(1.0f64.ceil(), 1.0f64);
-    assert_approx_eq!(1.3f64.ceil(), 2.0f64);
-    assert_approx_eq!(1.5f64.ceil(), 2.0f64);
-    assert_approx_eq!(1.7f64.ceil(), 2.0f64);
-    assert_approx_eq!(0.0f64.ceil(), 0.0f64);
-    assert_approx_eq!((-0.0f64).ceil(), -0.0f64);
-    assert_approx_eq!((-1.0f64).ceil(), -1.0f64);
-    assert_approx_eq!((-1.3f64).ceil(), -1.0f64);
-    assert_approx_eq!((-1.5f64).ceil(), -1.0f64);
-    assert_approx_eq!((-1.7f64).ceil(), -1.0f64);
-}
-
-#[test]
-fn test_round() {
-    assert_approx_eq!(2.5f64.round(), 3.0f64);
-    assert_approx_eq!(1.0f64.round(), 1.0f64);
-    assert_approx_eq!(1.3f64.round(), 1.0f64);
-    assert_approx_eq!(1.5f64.round(), 2.0f64);
-    assert_approx_eq!(1.7f64.round(), 2.0f64);
-    assert_approx_eq!(0.0f64.round(), 0.0f64);
-    assert_approx_eq!((-0.0f64).round(), -0.0f64);
-    assert_approx_eq!((-1.0f64).round(), -1.0f64);
-    assert_approx_eq!((-1.3f64).round(), -1.0f64);
-    assert_approx_eq!((-1.5f64).round(), -2.0f64);
-    assert_approx_eq!((-1.7f64).round(), -2.0f64);
-}
-
-#[test]
-fn test_round_ties_even() {
-    assert_approx_eq!(2.5f64.round_ties_even(), 2.0f64);
-    assert_approx_eq!(1.0f64.round_ties_even(), 1.0f64);
-    assert_approx_eq!(1.3f64.round_ties_even(), 1.0f64);
-    assert_approx_eq!(1.5f64.round_ties_even(), 2.0f64);
-    assert_approx_eq!(1.7f64.round_ties_even(), 2.0f64);
-    assert_approx_eq!(0.0f64.round_ties_even(), 0.0f64);
-    assert_approx_eq!((-0.0f64).round_ties_even(), -0.0f64);
-    assert_approx_eq!((-1.0f64).round_ties_even(), -1.0f64);
-    assert_approx_eq!((-1.3f64).round_ties_even(), -1.0f64);
-    assert_approx_eq!((-1.5f64).round_ties_even(), -2.0f64);
-    assert_approx_eq!((-1.7f64).round_ties_even(), -2.0f64);
-}
-
-#[test]
-fn test_trunc() {
-    assert_approx_eq!(1.0f64.trunc(), 1.0f64);
-    assert_approx_eq!(1.3f64.trunc(), 1.0f64);
-    assert_approx_eq!(1.5f64.trunc(), 1.0f64);
-    assert_approx_eq!(1.7f64.trunc(), 1.0f64);
-    assert_approx_eq!(0.0f64.trunc(), 0.0f64);
-    assert_approx_eq!((-0.0f64).trunc(), -0.0f64);
-    assert_approx_eq!((-1.0f64).trunc(), -1.0f64);
-    assert_approx_eq!((-1.3f64).trunc(), -1.0f64);
-    assert_approx_eq!((-1.5f64).trunc(), -1.0f64);
-    assert_approx_eq!((-1.7f64).trunc(), -1.0f64);
-}
-
-#[test]
-fn test_fract() {
-    assert_approx_eq!(1.0f64.fract(), 0.0f64);
-    assert_approx_eq!(1.3f64.fract(), 0.3f64);
-    assert_approx_eq!(1.5f64.fract(), 0.5f64);
-    assert_approx_eq!(1.7f64.fract(), 0.7f64);
-    assert_approx_eq!(0.0f64.fract(), 0.0f64);
-    assert_approx_eq!((-0.0f64).fract(), -0.0f64);
-    assert_approx_eq!((-1.0f64).fract(), -0.0f64);
-    assert_approx_eq!((-1.3f64).fract(), -0.3f64);
-    assert_approx_eq!((-1.5f64).fract(), -0.5f64);
-    assert_approx_eq!((-1.7f64).fract(), -0.7f64);
-}
-
-#[test]
-fn test_abs() {
-    assert_eq!(f64::INFINITY.abs(), f64::INFINITY);
-    assert_eq!(1f64.abs(), 1f64);
-    assert_eq!(0f64.abs(), 0f64);
-    assert_eq!((-0f64).abs(), 0f64);
-    assert_eq!((-1f64).abs(), 1f64);
-    assert_eq!(f64::NEG_INFINITY.abs(), f64::INFINITY);
-    assert_eq!((1f64 / f64::NEG_INFINITY).abs(), 0f64);
-    assert!(f64::NAN.abs().is_nan());
-}
-
-#[test]
-fn test_signum() {
-    assert_eq!(f64::INFINITY.signum(), 1f64);
-    assert_eq!(1f64.signum(), 1f64);
-    assert_eq!(0f64.signum(), 1f64);
-    assert_eq!((-0f64).signum(), -1f64);
-    assert_eq!((-1f64).signum(), -1f64);
-    assert_eq!(f64::NEG_INFINITY.signum(), -1f64);
-    assert_eq!((1f64 / f64::NEG_INFINITY).signum(), -1f64);
-    assert!(f64::NAN.signum().is_nan());
-}
-
-#[test]
-fn test_is_sign_positive() {
-    assert!(f64::INFINITY.is_sign_positive());
-    assert!(1f64.is_sign_positive());
-    assert!(0f64.is_sign_positive());
-    assert!(!(-0f64).is_sign_positive());
-    assert!(!(-1f64).is_sign_positive());
-    assert!(!f64::NEG_INFINITY.is_sign_positive());
-    assert!(!(1f64 / f64::NEG_INFINITY).is_sign_positive());
-    assert!(f64::NAN.is_sign_positive());
-    assert!(!(-f64::NAN).is_sign_positive());
-}
-
-#[test]
-fn test_is_sign_negative() {
-    assert!(!f64::INFINITY.is_sign_negative());
-    assert!(!1f64.is_sign_negative());
-    assert!(!0f64.is_sign_negative());
-    assert!((-0f64).is_sign_negative());
-    assert!((-1f64).is_sign_negative());
-    assert!(f64::NEG_INFINITY.is_sign_negative());
-    assert!((1f64 / f64::NEG_INFINITY).is_sign_negative());
-    assert!(!f64::NAN.is_sign_negative());
-    assert!((-f64::NAN).is_sign_negative());
-}
-
-#[test]
-fn test_next_up() {
-    let tiny = f64::from_bits(TINY_BITS);
-    let tiny_up = f64::from_bits(TINY_UP_BITS);
-    let max_down = f64::from_bits(MAX_DOWN_BITS);
-    let largest_subnormal = f64::from_bits(LARGEST_SUBNORMAL_BITS);
-    let smallest_normal = f64::from_bits(SMALLEST_NORMAL_BITS);
-    assert_f64_biteq!(f64::NEG_INFINITY.next_up(), f64::MIN);
-    assert_f64_biteq!(f64::MIN.next_up(), -max_down);
-    assert_f64_biteq!((-1.0 - f64::EPSILON).next_up(), -1.0);
-    assert_f64_biteq!((-smallest_normal).next_up(), -largest_subnormal);
-    assert_f64_biteq!((-tiny_up).next_up(), -tiny);
-    assert_f64_biteq!((-tiny).next_up(), -0.0f64);
-    assert_f64_biteq!((-0.0f64).next_up(), tiny);
-    assert_f64_biteq!(0.0f64.next_up(), tiny);
-    assert_f64_biteq!(tiny.next_up(), tiny_up);
-    assert_f64_biteq!(largest_subnormal.next_up(), smallest_normal);
-    assert_f64_biteq!(1.0f64.next_up(), 1.0 + f64::EPSILON);
-    assert_f64_biteq!(f64::MAX.next_up(), f64::INFINITY);
-    assert_f64_biteq!(f64::INFINITY.next_up(), f64::INFINITY);
-
-    let nan0 = f64::NAN;
-    let nan1 = f64::from_bits(f64::NAN.to_bits() ^ NAN_MASK1);
-    let nan2 = f64::from_bits(f64::NAN.to_bits() ^ NAN_MASK2);
-    assert_f64_biteq!(nan0.next_up(), nan0);
-    assert_f64_biteq!(nan1.next_up(), nan1);
-    assert_f64_biteq!(nan2.next_up(), nan2);
-}
-
-#[test]
-fn test_next_down() {
-    let tiny = f64::from_bits(TINY_BITS);
-    let tiny_up = f64::from_bits(TINY_UP_BITS);
-    let max_down = f64::from_bits(MAX_DOWN_BITS);
-    let largest_subnormal = f64::from_bits(LARGEST_SUBNORMAL_BITS);
-    let smallest_normal = f64::from_bits(SMALLEST_NORMAL_BITS);
-    assert_f64_biteq!(f64::NEG_INFINITY.next_down(), f64::NEG_INFINITY);
-    assert_f64_biteq!(f64::MIN.next_down(), f64::NEG_INFINITY);
-    assert_f64_biteq!((-max_down).next_down(), f64::MIN);
-    assert_f64_biteq!((-1.0f64).next_down(), -1.0 - f64::EPSILON);
-    assert_f64_biteq!((-largest_subnormal).next_down(), -smallest_normal);
-    assert_f64_biteq!((-tiny).next_down(), -tiny_up);
-    assert_f64_biteq!((-0.0f64).next_down(), -tiny);
-    assert_f64_biteq!((0.0f64).next_down(), -tiny);
-    assert_f64_biteq!(tiny.next_down(), 0.0f64);
-    assert_f64_biteq!(tiny_up.next_down(), tiny);
-    assert_f64_biteq!(smallest_normal.next_down(), largest_subnormal);
-    assert_f64_biteq!((1.0 + f64::EPSILON).next_down(), 1.0f64);
-    assert_f64_biteq!(f64::MAX.next_down(), max_down);
-    assert_f64_biteq!(f64::INFINITY.next_down(), f64::MAX);
-
-    let nan0 = f64::NAN;
-    let nan1 = f64::from_bits(f64::NAN.to_bits() ^ NAN_MASK1);
-    let nan2 = f64::from_bits(f64::NAN.to_bits() ^ NAN_MASK2);
-    assert_f64_biteq!(nan0.next_down(), nan0);
-    assert_f64_biteq!(nan1.next_down(), nan1);
-    assert_f64_biteq!(nan2.next_down(), nan2);
-}
-
-#[test]
-fn test_mul_add() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert_approx_eq!(12.3f64.mul_add(4.5, 6.7), 62.05);
-    assert_approx_eq!((-12.3f64).mul_add(-4.5, -6.7), 48.65);
-    assert_approx_eq!(0.0f64.mul_add(8.9, 1.2), 1.2);
-    assert_approx_eq!(3.4f64.mul_add(-0.0, 5.6), 5.6);
-    assert!(nan.mul_add(7.8, 9.0).is_nan());
-    assert_eq!(inf.mul_add(7.8, 9.0), inf);
-    assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf);
-    assert_eq!(8.9f64.mul_add(inf, 3.2), inf);
-    assert_eq!((-3.2f64).mul_add(2.4, neg_inf), neg_inf);
-}
-
-#[test]
-fn test_recip() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert_eq!(1.0f64.recip(), 1.0);
-    assert_eq!(2.0f64.recip(), 0.5);
-    assert_eq!((-0.4f64).recip(), -2.5);
-    assert_eq!(0.0f64.recip(), inf);
-    assert!(nan.recip().is_nan());
-    assert_eq!(inf.recip(), 0.0);
-    assert_eq!(neg_inf.recip(), 0.0);
-}
-
-#[test]
-fn test_powi() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert_eq!(1.0f64.powi(1), 1.0);
-    assert_approx_eq!((-3.1f64).powi(2), 9.61);
-    assert_approx_eq!(5.9f64.powi(-2), 0.028727);
-    assert_eq!(8.3f64.powi(0), 1.0);
-    assert!(nan.powi(2).is_nan());
-    assert_eq!(inf.powi(3), inf);
-    assert_eq!(neg_inf.powi(2), inf);
-}
-
-#[test]
 fn test_powf() {
     let nan: f64 = f64::NAN;
     let inf: f64 = f64::INFINITY;
@@ -455,17 +28,6 @@ fn test_powf() {
 }
 
 #[test]
-fn test_sqrt_domain() {
-    assert!(f64::NAN.sqrt().is_nan());
-    assert!(f64::NEG_INFINITY.sqrt().is_nan());
-    assert!((-1.0f64).sqrt().is_nan());
-    assert_eq!((-0.0f64).sqrt(), -0.0);
-    assert_eq!(0.0f64.sqrt(), 0.0);
-    assert_eq!(1.0f64.sqrt(), 1.0);
-    assert_eq!(f64::INFINITY.sqrt(), f64::INFINITY);
-}
-
-#[test]
 fn test_exp() {
     assert_eq!(1.0, 0.0f64.exp());
     assert_approx_eq!(2.718282, 1.0f64.exp());
@@ -559,35 +121,6 @@ fn test_log10() {
 }
 
 #[test]
-fn test_to_degrees() {
-    let pi: f64 = consts::PI;
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert_eq!(0.0f64.to_degrees(), 0.0);
-    assert_approx_eq!((-5.8f64).to_degrees(), -332.315521);
-    assert_eq!(pi.to_degrees(), 180.0);
-    assert!(nan.to_degrees().is_nan());
-    assert_eq!(inf.to_degrees(), inf);
-    assert_eq!(neg_inf.to_degrees(), neg_inf);
-}
-
-#[test]
-fn test_to_radians() {
-    let pi: f64 = consts::PI;
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert_eq!(0.0f64.to_radians(), 0.0);
-    assert_approx_eq!(154.6f64.to_radians(), 2.698279);
-    assert_approx_eq!((-332.31f64).to_radians(), -5.799903);
-    assert_eq!(180.0f64.to_radians(), pi);
-    assert!(nan.to_radians().is_nan());
-    assert_eq!(inf.to_radians(), inf);
-    assert_eq!(neg_inf.to_radians(), neg_inf);
-}
-
-#[test]
 fn test_asinh() {
     assert_eq!(0.0f64.asinh(), 0.0f64);
     assert_eq!((-0.0f64).asinh(), -0.0f64);
@@ -714,204 +247,3 @@ fn test_real_consts() {
     assert_approx_eq!(ln_2, 2f64.ln());
     assert_approx_eq!(ln_10, 10f64.ln());
 }
-
-#[test]
-fn test_float_bits_conv() {
-    assert_eq!((1f64).to_bits(), 0x3ff0000000000000);
-    assert_eq!((12.5f64).to_bits(), 0x4029000000000000);
-    assert_eq!((1337f64).to_bits(), 0x4094e40000000000);
-    assert_eq!((-14.25f64).to_bits(), 0xc02c800000000000);
-    assert_approx_eq!(f64::from_bits(0x3ff0000000000000), 1.0);
-    assert_approx_eq!(f64::from_bits(0x4029000000000000), 12.5);
-    assert_approx_eq!(f64::from_bits(0x4094e40000000000), 1337.0);
-    assert_approx_eq!(f64::from_bits(0xc02c800000000000), -14.25);
-
-    // Check that NaNs roundtrip their bits regardless of signaling-ness
-    let masked_nan1 = f64::NAN.to_bits() ^ NAN_MASK1;
-    let masked_nan2 = f64::NAN.to_bits() ^ NAN_MASK2;
-    assert!(f64::from_bits(masked_nan1).is_nan());
-    assert!(f64::from_bits(masked_nan2).is_nan());
-
-    assert_eq!(f64::from_bits(masked_nan1).to_bits(), masked_nan1);
-    assert_eq!(f64::from_bits(masked_nan2).to_bits(), masked_nan2);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_min_greater_than_max() {
-    let _ = 1.0f64.clamp(3.0, 1.0);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_min_is_nan() {
-    let _ = 1.0f64.clamp(f64::NAN, 1.0);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_max_is_nan() {
-    let _ = 1.0f64.clamp(3.0, f64::NAN);
-}
-
-#[test]
-fn test_total_cmp() {
-    use core::cmp::Ordering;
-
-    fn quiet_bit_mask() -> u64 {
-        1 << (f64::MANTISSA_DIGITS - 2)
-    }
-
-    fn min_subnorm() -> f64 {
-        f64::MIN_POSITIVE / f64::powf(2.0, f64::MANTISSA_DIGITS as f64 - 1.0)
-    }
-
-    fn max_subnorm() -> f64 {
-        f64::MIN_POSITIVE - min_subnorm()
-    }
-
-    fn q_nan() -> f64 {
-        f64::from_bits(f64::NAN.to_bits() | quiet_bit_mask())
-    }
-
-    fn s_nan() -> f64 {
-        f64::from_bits((f64::NAN.to_bits() & !quiet_bit_mask()) + 42)
-    }
-
-    assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan()));
-    assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Equal, (-f64::INFINITY).total_cmp(&-f64::INFINITY));
-    assert_eq!(Ordering::Equal, (-f64::MAX).total_cmp(&-f64::MAX));
-    assert_eq!(Ordering::Equal, (-2.5_f64).total_cmp(&-2.5));
-    assert_eq!(Ordering::Equal, (-1.0_f64).total_cmp(&-1.0));
-    assert_eq!(Ordering::Equal, (-1.5_f64).total_cmp(&-1.5));
-    assert_eq!(Ordering::Equal, (-0.5_f64).total_cmp(&-0.5));
-    assert_eq!(Ordering::Equal, (-f64::MIN_POSITIVE).total_cmp(&-f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Equal, (-0.0_f64).total_cmp(&-0.0));
-    assert_eq!(Ordering::Equal, 0.0_f64.total_cmp(&0.0));
-    assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Equal, f64::MIN_POSITIVE.total_cmp(&f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Equal, 0.5_f64.total_cmp(&0.5));
-    assert_eq!(Ordering::Equal, 1.0_f64.total_cmp(&1.0));
-    assert_eq!(Ordering::Equal, 1.5_f64.total_cmp(&1.5));
-    assert_eq!(Ordering::Equal, 2.5_f64.total_cmp(&2.5));
-    assert_eq!(Ordering::Equal, f64::MAX.total_cmp(&f64::MAX));
-    assert_eq!(Ordering::Equal, f64::INFINITY.total_cmp(&f64::INFINITY));
-    assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan()));
-    assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan()));
-
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::INFINITY));
-    assert_eq!(Ordering::Less, (-f64::INFINITY).total_cmp(&-f64::MAX));
-    assert_eq!(Ordering::Less, (-f64::MAX).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-2.5_f64).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-1.5_f64).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-1.0_f64).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-0.5_f64).total_cmp(&-f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-f64::MIN_POSITIVE).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-0.0_f64).total_cmp(&0.0));
-    assert_eq!(Ordering::Less, 0.0_f64.total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, f64::MIN_POSITIVE.total_cmp(&0.5));
-    assert_eq!(Ordering::Less, 0.5_f64.total_cmp(&1.0));
-    assert_eq!(Ordering::Less, 1.0_f64.total_cmp(&1.5));
-    assert_eq!(Ordering::Less, 1.5_f64.total_cmp(&2.5));
-    assert_eq!(Ordering::Less, 2.5_f64.total_cmp(&f64::MAX));
-    assert_eq!(Ordering::Less, f64::MAX.total_cmp(&f64::INFINITY));
-    assert_eq!(Ordering::Less, f64::INFINITY.total_cmp(&s_nan()));
-    assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan()));
-
-    assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan()));
-    assert_eq!(Ordering::Greater, (-f64::INFINITY).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Greater, (-f64::MAX).total_cmp(&-f64::INFINITY));
-    assert_eq!(Ordering::Greater, (-2.5_f64).total_cmp(&-f64::MAX));
-    assert_eq!(Ordering::Greater, (-1.5_f64).total_cmp(&-2.5));
-    assert_eq!(Ordering::Greater, (-1.0_f64).total_cmp(&-1.5));
-    assert_eq!(Ordering::Greater, (-0.5_f64).total_cmp(&-1.0));
-    assert_eq!(Ordering::Greater, (-f64::MIN_POSITIVE).total_cmp(&-0.5));
-    assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Greater, (-0.0_f64).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Greater, 0.0_f64.total_cmp(&-0.0));
-    assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0));
-    assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Greater, f64::MIN_POSITIVE.total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Greater, 0.5_f64.total_cmp(&f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Greater, 1.0_f64.total_cmp(&0.5));
-    assert_eq!(Ordering::Greater, 1.5_f64.total_cmp(&1.0));
-    assert_eq!(Ordering::Greater, 2.5_f64.total_cmp(&1.5));
-    assert_eq!(Ordering::Greater, f64::MAX.total_cmp(&2.5));
-    assert_eq!(Ordering::Greater, f64::INFINITY.total_cmp(&f64::MAX));
-    assert_eq!(Ordering::Greater, s_nan().total_cmp(&f64::INFINITY));
-    assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan()));
-
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f64::INFINITY));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f64::MAX));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f64::MAX));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f64::INFINITY));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan()));
-
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::INFINITY));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::MAX));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f64::MAX));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f64::INFINITY));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan()));
-}
-
-#[test]
-fn test_algebraic() {
-    let a: f64 = 123.0;
-    let b: f64 = 456.0;
-
-    // Check that individual operations match their primitive counterparts.
-    //
-    // This is a check of current implementations and does NOT imply any form of
-    // guarantee about future behavior. The compiler reserves the right to make
-    // these operations inexact matches in the future.
-    let eps = if cfg!(miri) { 1e-6 } else { 0.0 };
-
-    assert_approx_eq!(a.algebraic_add(b), a + b, eps);
-    assert_approx_eq!(a.algebraic_sub(b), a - b, eps);
-    assert_approx_eq!(a.algebraic_mul(b), a * b, eps);
-    assert_approx_eq!(a.algebraic_div(b), a / b, eps);
-    assert_approx_eq!(a.algebraic_rem(b), a % b, eps);
-}
diff --git a/library/std/tests/floats/lib.rs b/library/std/tests/floats/lib.rs
index 453a2d533ab..8bb8eb4bfc1 100644
--- a/library/std/tests/floats/lib.rs
+++ b/library/std/tests/floats/lib.rs
@@ -1,5 +1,4 @@
-#![feature(f16, f128, float_algebraic, float_gamma, float_minimum_maximum)]
-#![feature(cfg_target_has_reliable_f16_f128)]
+#![feature(f16, f128, float_gamma, float_minimum_maximum, cfg_target_has_reliable_f16_f128)]
 #![expect(internal_features)] // for reliable_f16_f128
 
 use std::fmt;
diff --git a/src/ci/docker/host-x86_64/dist-ohos/Dockerfile b/src/ci/docker/host-x86_64/dist-ohos-aarch64/Dockerfile
index 2c514fa0d4d..adeaf809f42 100644
--- a/src/ci/docker/host-x86_64/dist-ohos/Dockerfile
+++ b/src/ci/docker/host-x86_64/dist-ohos-aarch64/Dockerfile
@@ -27,36 +27,18 @@ RUN sh /scripts/ohos-openssl.sh
 
 COPY scripts/ohos/aarch64-unknown-linux-ohos-clang.sh /usr/local/bin/
 COPY scripts/ohos/aarch64-unknown-linux-ohos-clang++.sh /usr/local/bin/
-COPY scripts/ohos/armv7-unknown-linux-ohos-clang.sh /usr/local/bin/
-COPY scripts/ohos/armv7-unknown-linux-ohos-clang++.sh /usr/local/bin/
-COPY scripts/ohos/x86_64-unknown-linux-ohos-clang.sh /usr/local/bin/
-COPY scripts/ohos/x86_64-unknown-linux-ohos-clang++.sh /usr/local/bin/
 
 # env
 ENV AARCH64_UNKNOWN_LINUX_OHOS_OPENSSL_DIR=/opt/ohos-openssl/prelude/arm64-v8a
-ENV ARMV7_UNKNOWN_LINUX_OHOS_OPENSSL_DIR=/opt/ohos-openssl/prelude/armeabi-v7a
-ENV X86_64_UNKNOWN_LINUX_OHOS_OPENSSL_DIR=/opt/ohos-openssl/prelude/x86_64
 
 ENV AARCH64_UNKNOWN_LINUX_OHOS_OPENSSL_NO_VENDOR=1
-ENV ARMV7_UNKNOWN_LINUX_OHOS_OPENSSL_NO_VENDOR=1
-ENV X86_64_UNKNOWN_LINUX_OHOS_OPENSSL_NO_VENDOR=1
 
 ENV TARGETS=aarch64-unknown-linux-ohos
-ENV TARGETS=$TARGETS,armv7-unknown-linux-ohos
-ENV TARGETS=$TARGETS,x86_64-unknown-linux-ohos
 
 ENV \
     CC_aarch64_unknown_linux_ohos=/usr/local/bin/aarch64-unknown-linux-ohos-clang.sh \
     AR_aarch64_unknown_linux_ohos=/opt/ohos-sdk/native/llvm/bin/llvm-ar \
     CXX_aarch64_unknown_linux_ohos=/usr/local/bin/aarch64-unknown-linux-ohos-clang++.sh
-ENV \
-    CC_armv7_unknown_linux_ohos=/usr/local/bin/armv7-unknown-linux-ohos-clang.sh \
-    AR_armv7_unknown_linux_ohos=/opt/ohos-sdk/native/llvm/bin/llvm-ar \
-    CXX_armv7_unknown_linux_ohos=/usr/local/bin/armv7-unknown-linux-ohos-clang++.sh
-ENV \
-    CC_x86_64_unknown_linux_ohos=/usr/local/bin/x86_64-unknown-linux-ohos-clang.sh \
-    AR_x86_64_unknown_linux_ohos=/opt/ohos-sdk/native/llvm/bin/llvm-ar \
-    CXX_x86_64_unknown_linux_ohos=/usr/local/bin/x86_64-unknown-linux-ohos-clang++.sh
 
 ENV RUST_CONFIGURE_ARGS \
     --enable-profiler \
diff --git a/src/ci/docker/host-x86_64/dist-ohos-armv7/Dockerfile b/src/ci/docker/host-x86_64/dist-ohos-armv7/Dockerfile
new file mode 100644
index 00000000000..2a23d8aec23
--- /dev/null
+++ b/src/ci/docker/host-x86_64/dist-ohos-armv7/Dockerfile
@@ -0,0 +1,53 @@
+FROM ubuntu:24.04
+
+ARG DEBIAN_FRONTEND=noninteractive
+RUN apt-get update && apt-get install -y --no-install-recommends \
+    g++ \
+    make \
+    ninja-build \
+    file \
+    curl \
+    ca-certificates \
+    python3 \
+    git \
+    cmake \
+    sudo \
+    gdb \
+    libssl-dev \
+    pkg-config \
+    xz-utils \
+    unzip \
+    && rm -rf /var/lib/apt/lists/*
+
+COPY scripts/ohos-sdk.sh /scripts/
+RUN sh /scripts/ohos-sdk.sh
+
+COPY scripts/ohos-openssl.sh /scripts/
+RUN sh /scripts/ohos-openssl.sh
+
+COPY scripts/ohos/armv7-unknown-linux-ohos-clang.sh /usr/local/bin/
+COPY scripts/ohos/armv7-unknown-linux-ohos-clang++.sh /usr/local/bin/
+
+# env
+ENV ARMV7_UNKNOWN_LINUX_OHOS_OPENSSL_DIR=/opt/ohos-openssl/prelude/armeabi-v7a
+
+ENV ARMV7_UNKNOWN_LINUX_OHOS_OPENSSL_NO_VENDOR=1
+
+ENV TARGETS=armv7-unknown-linux-ohos
+
+ENV \
+    CC_armv7_unknown_linux_ohos=/usr/local/bin/armv7-unknown-linux-ohos-clang.sh \
+    AR_armv7_unknown_linux_ohos=/opt/ohos-sdk/native/llvm/bin/llvm-ar \
+    CXX_armv7_unknown_linux_ohos=/usr/local/bin/armv7-unknown-linux-ohos-clang++.sh
+
+ENV RUST_CONFIGURE_ARGS \
+    --enable-profiler \
+    --disable-docs \
+    --tools=cargo,clippy,rustdocs,rustfmt,rust-analyzer,rust-analyzer-proc-macro-srv,analysis,src,wasm-component-ld \
+    --enable-extended \
+    --enable-sanitizers
+
+ENV SCRIPT python3 ../x.py dist --host=$TARGETS --target $TARGETS
+
+COPY scripts/sccache.sh /scripts/
+RUN sh /scripts/sccache.sh
diff --git a/src/ci/docker/host-x86_64/dist-ohos-x86_64/Dockerfile b/src/ci/docker/host-x86_64/dist-ohos-x86_64/Dockerfile
new file mode 100644
index 00000000000..98e402adf2a
--- /dev/null
+++ b/src/ci/docker/host-x86_64/dist-ohos-x86_64/Dockerfile
@@ -0,0 +1,53 @@
+FROM ubuntu:24.04
+
+ARG DEBIAN_FRONTEND=noninteractive
+RUN apt-get update && apt-get install -y --no-install-recommends \
+    g++ \
+    make \
+    ninja-build \
+    file \
+    curl \
+    ca-certificates \
+    python3 \
+    git \
+    cmake \
+    sudo \
+    gdb \
+    libssl-dev \
+    pkg-config \
+    xz-utils \
+    unzip \
+    && rm -rf /var/lib/apt/lists/*
+
+COPY scripts/ohos-sdk.sh /scripts/
+RUN sh /scripts/ohos-sdk.sh
+
+COPY scripts/ohos-openssl.sh /scripts/
+RUN sh /scripts/ohos-openssl.sh
+
+COPY scripts/ohos/x86_64-unknown-linux-ohos-clang.sh /usr/local/bin/
+COPY scripts/ohos/x86_64-unknown-linux-ohos-clang++.sh /usr/local/bin/
+
+# env
+ENV X86_64_UNKNOWN_LINUX_OHOS_OPENSSL_DIR=/opt/ohos-openssl/prelude/x86_64
+
+ENV X86_64_UNKNOWN_LINUX_OHOS_OPENSSL_NO_VENDOR=1
+
+ENV TARGETS=x86_64-unknown-linux-ohos
+
+ENV \
+    CC_x86_64_unknown_linux_ohos=/usr/local/bin/x86_64-unknown-linux-ohos-clang.sh \
+    AR_x86_64_unknown_linux_ohos=/opt/ohos-sdk/native/llvm/bin/llvm-ar \
+    CXX_x86_64_unknown_linux_ohos=/usr/local/bin/x86_64-unknown-linux-ohos-clang++.sh
+
+ENV RUST_CONFIGURE_ARGS \
+    --enable-profiler \
+    --disable-docs \
+    --tools=cargo,clippy,rustdocs,rustfmt,rust-analyzer,rust-analyzer-proc-macro-srv,analysis,src,wasm-component-ld \
+    --enable-extended \
+    --enable-sanitizers
+
+ENV SCRIPT python3 ../x.py dist --host=$TARGETS --target $TARGETS
+
+COPY scripts/sccache.sh /scripts/
+RUN sh /scripts/sccache.sh
diff --git a/src/ci/docker/host-x86_64/x86_64-gnu-tools/checktools.sh b/src/ci/docker/host-x86_64/x86_64-gnu-tools/checktools.sh
index 9ed5b519b6e..9222710b843 100755
--- a/src/ci/docker/host-x86_64/x86_64-gnu-tools/checktools.sh
+++ b/src/ci/docker/host-x86_64/x86_64-gnu-tools/checktools.sh
@@ -47,7 +47,7 @@ fi
 # we only ensure that all assertions still pass.
 MIRIFLAGS="-Zmiri-force-intrinsic-fallback --cfg force_intrinsic_fallback -O -Zmir-opt-level=4 -Cdebug-assertions=yes" \
   MIRI_SKIP_UI_CHECKS=1 \
-  python3 "$X_PY" test --stage 2 src/tools/miri -- tests/{pass,panic}
+  python3 "$X_PY" test --stage 2 src/tools/miri -- tests/pass tests/panic
 # We natively run this script on x86_64-unknown-linux-gnu and x86_64-pc-windows-msvc.
 # Also cover some other targets via cross-testing, in particular all tier 1 targets.
 case $HOST_TARGET in
diff --git a/src/ci/github-actions/jobs.yml b/src/ci/github-actions/jobs.yml
index 88e9c71a9e3..42ad5acbdac 100644
--- a/src/ci/github-actions/jobs.yml
+++ b/src/ci/github-actions/jobs.yml
@@ -188,8 +188,14 @@ auto:
   - name: dist-loongarch64-musl
     <<: *job-linux-4c
 
-  - name: dist-ohos
-    <<: *job-linux-4c-largedisk
+  - name: dist-ohos-aarch64
+    <<: *job-linux-4c
+
+  - name: dist-ohos-armv7
+    <<: *job-linux-4c
+
+  - name: dist-ohos-x86_64
+    <<: *job-linux-4c
 
   - name: dist-powerpc-linux
     <<: *job-linux-4c
diff --git a/src/librustdoc/clean/cfg.rs b/src/librustdoc/clean/cfg.rs
index 1541e7201ce..439777843fb 100644
--- a/src/librustdoc/clean/cfg.rs
+++ b/src/librustdoc/clean/cfg.rs
@@ -144,7 +144,7 @@ impl Cfg {
 
     /// Whether the configuration consists of just `Cfg` or `Not`.
     fn is_simple(&self) -> bool {
-        match *self {
+        match self {
             Cfg::False | Cfg::True | Cfg::Cfg(..) | Cfg::Not(..) => true,
             Cfg::All(..) | Cfg::Any(..) => false,
         }
@@ -152,7 +152,7 @@ impl Cfg {
 
     /// Whether the configuration consists of just `Cfg`, `Not` or `All`.
     fn is_all(&self) -> bool {
-        match *self {
+        match self {
             Cfg::False | Cfg::True | Cfg::Cfg(..) | Cfg::Not(..) | Cfg::All(..) => true,
             Cfg::Any(..) => false,
         }
@@ -204,7 +204,7 @@ impl Cfg {
     }
 
     fn should_append_only_to_description(&self) -> bool {
-        match *self {
+        match self {
             Cfg::False | Cfg::True => false,
             Cfg::Any(..) | Cfg::All(..) | Cfg::Cfg(..) => true,
             Cfg::Not(box Cfg::Cfg(..)) => true,
@@ -261,17 +261,17 @@ impl ops::Not for Cfg {
 impl ops::BitAndAssign for Cfg {
     fn bitand_assign(&mut self, other: Cfg) {
         match (self, other) {
-            (&mut Cfg::False, _) | (_, Cfg::True) => {}
+            (Cfg::False, _) | (_, Cfg::True) => {}
             (s, Cfg::False) => *s = Cfg::False,
-            (s @ &mut Cfg::True, b) => *s = b,
-            (&mut Cfg::All(ref mut a), Cfg::All(ref mut b)) => {
+            (s @ Cfg::True, b) => *s = b,
+            (Cfg::All(a), Cfg::All(ref mut b)) => {
                 for c in b.drain(..) {
                     if !a.contains(&c) {
                         a.push(c);
                     }
                 }
             }
-            (&mut Cfg::All(ref mut a), ref mut b) => {
+            (Cfg::All(a), ref mut b) => {
                 if !a.contains(b) {
                     a.push(mem::replace(b, Cfg::True));
                 }
@@ -305,15 +305,15 @@ impl ops::BitOrAssign for Cfg {
     fn bitor_assign(&mut self, other: Cfg) {
         match (self, other) {
             (Cfg::True, _) | (_, Cfg::False) | (_, Cfg::True) => {}
-            (s @ &mut Cfg::False, b) => *s = b,
-            (&mut Cfg::Any(ref mut a), Cfg::Any(ref mut b)) => {
+            (s @ Cfg::False, b) => *s = b,
+            (Cfg::Any(a), Cfg::Any(ref mut b)) => {
                 for c in b.drain(..) {
                     if !a.contains(&c) {
                         a.push(c);
                     }
                 }
             }
-            (&mut Cfg::Any(ref mut a), ref mut b) => {
+            (Cfg::Any(a), ref mut b) => {
                 if !a.contains(b) {
                     a.push(mem::replace(b, Cfg::True));
                 }
@@ -440,40 +440,34 @@ impl Display<'_> {
 
 impl fmt::Display for Display<'_> {
     fn fmt(&self, fmt: &mut fmt::Formatter<'_>) -> fmt::Result {
-        match *self.0 {
-            Cfg::Not(ref child) => match **child {
-                Cfg::Any(ref sub_cfgs) => {
-                    let separator =
-                        if sub_cfgs.iter().all(Cfg::is_simple) { " nor " } else { ", nor " };
-                    fmt.write_str("neither ")?;
-
-                    sub_cfgs
-                        .iter()
-                        .map(|sub_cfg| {
-                            fmt::from_fn(|fmt| {
-                                write_with_opt_paren(
-                                    fmt,
-                                    !sub_cfg.is_all(),
-                                    Display(sub_cfg, self.1),
-                                )
-                            })
+        match self.0 {
+            Cfg::Not(box Cfg::Any(sub_cfgs)) => {
+                let separator =
+                    if sub_cfgs.iter().all(Cfg::is_simple) { " nor " } else { ", nor " };
+                fmt.write_str("neither ")?;
+
+                sub_cfgs
+                    .iter()
+                    .map(|sub_cfg| {
+                        fmt::from_fn(|fmt| {
+                            write_with_opt_paren(fmt, !sub_cfg.is_all(), Display(sub_cfg, self.1))
                         })
-                        .joined(separator, fmt)
-                }
-                ref simple @ Cfg::Cfg(..) => write!(fmt, "non-{}", Display(simple, self.1)),
-                ref c => write!(fmt, "not ({})", Display(c, self.1)),
-            },
+                    })
+                    .joined(separator, fmt)
+            }
+            Cfg::Not(box simple @ Cfg::Cfg(..)) => write!(fmt, "non-{}", Display(simple, self.1)),
+            Cfg::Not(box c) => write!(fmt, "not ({})", Display(c, self.1)),
 
-            Cfg::Any(ref sub_cfgs) => {
+            Cfg::Any(sub_cfgs) => {
                 let separator = if sub_cfgs.iter().all(Cfg::is_simple) { " or " } else { ", or " };
                 self.display_sub_cfgs(fmt, sub_cfgs, separator)
             }
-            Cfg::All(ref sub_cfgs) => self.display_sub_cfgs(fmt, sub_cfgs, " and "),
+            Cfg::All(sub_cfgs) => self.display_sub_cfgs(fmt, sub_cfgs, " and "),
 
             Cfg::True => fmt.write_str("everywhere"),
             Cfg::False => fmt.write_str("nowhere"),
 
-            Cfg::Cfg(name, value) => {
+            &Cfg::Cfg(name, value) => {
                 let human_readable = match (name, value) {
                     (sym::unix, None) => "Unix",
                     (sym::windows, None) => "Windows",
diff --git a/src/librustdoc/clean/mod.rs b/src/librustdoc/clean/mod.rs
index 622a410837b..28dfa01534e 100644
--- a/src/librustdoc/clean/mod.rs
+++ b/src/librustdoc/clean/mod.rs
@@ -224,9 +224,9 @@ fn clean_generic_bound<'tcx>(
     bound: &hir::GenericBound<'tcx>,
     cx: &mut DocContext<'tcx>,
 ) -> Option<GenericBound> {
-    Some(match *bound {
+    Some(match bound {
         hir::GenericBound::Outlives(lt) => GenericBound::Outlives(clean_lifetime(lt, cx)),
-        hir::GenericBound::Trait(ref t) => {
+        hir::GenericBound::Trait(t) => {
             // `T: ~const Destruct` is hidden because `T: Destruct` is a no-op.
             if let hir::BoundConstness::Maybe(_) = t.modifiers.constness
                 && cx.tcx.lang_items().destruct_trait() == Some(t.trait_ref.trait_def_id().unwrap())
@@ -352,8 +352,8 @@ fn clean_where_predicate<'tcx>(
     if !predicate.kind.in_where_clause() {
         return None;
     }
-    Some(match *predicate.kind {
-        hir::WherePredicateKind::BoundPredicate(ref wbp) => {
+    Some(match predicate.kind {
+        hir::WherePredicateKind::BoundPredicate(wbp) => {
             let bound_params = wbp
                 .bound_generic_params
                 .iter()
@@ -366,12 +366,12 @@ fn clean_where_predicate<'tcx>(
             }
         }
 
-        hir::WherePredicateKind::RegionPredicate(ref wrp) => WherePredicate::RegionPredicate {
+        hir::WherePredicateKind::RegionPredicate(wrp) => WherePredicate::RegionPredicate {
             lifetime: clean_lifetime(wrp.lifetime, cx),
             bounds: wrp.bounds.iter().filter_map(|x| clean_generic_bound(x, cx)).collect(),
         },
 
-        hir::WherePredicateKind::EqPredicate(ref wrp) => WherePredicate::EqPredicate {
+        hir::WherePredicateKind::EqPredicate(wrp) => WherePredicate::EqPredicate {
             lhs: clean_ty(wrp.lhs_ty, cx),
             rhs: clean_ty(wrp.rhs_ty, cx).into(),
         },
@@ -2112,7 +2112,7 @@ pub(crate) fn clean_middle_ty<'tcx>(
             );
             Type::Path { path }
         }
-        ty::Dynamic(obj, ref reg, _) => {
+        ty::Dynamic(obj, reg, _) => {
             // HACK: pick the first `did` as the `did` of the trait object. Someone
             // might want to implement "native" support for marker-trait-only
             // trait objects.
@@ -2129,7 +2129,7 @@ pub(crate) fn clean_middle_ty<'tcx>(
 
             inline::record_extern_fqn(cx, did, ItemType::Trait);
 
-            let lifetime = clean_trait_object_lifetime_bound(*reg, container, obj, cx.tcx);
+            let lifetime = clean_trait_object_lifetime_bound(reg, container, obj, cx.tcx);
 
             let mut bounds = dids
                 .map(|did| {
@@ -2846,7 +2846,7 @@ fn clean_maybe_renamed_item<'tcx>(
                 ));
                 return ret;
             }
-            ItemKind::Enum(_, ref def, generics) => EnumItem(Enum {
+            ItemKind::Enum(_, def, generics) => EnumItem(Enum {
                 variants: def.variants.iter().map(|v| clean_variant(v, cx)).collect(),
                 generics: clean_generics(generics, cx),
             }),
@@ -2854,11 +2854,11 @@ fn clean_maybe_renamed_item<'tcx>(
                 generics: clean_generics(generics, cx),
                 bounds: bounds.iter().filter_map(|x| clean_generic_bound(x, cx)).collect(),
             }),
-            ItemKind::Union(_, ref variant_data, generics) => UnionItem(Union {
+            ItemKind::Union(_, variant_data, generics) => UnionItem(Union {
                 generics: clean_generics(generics, cx),
                 fields: variant_data.fields().iter().map(|x| clean_field(x, cx)).collect(),
             }),
-            ItemKind::Struct(_, ref variant_data, generics) => StructItem(Struct {
+            ItemKind::Struct(_, variant_data, generics) => StructItem(Struct {
                 ctor_kind: variant_data.ctor_kind(),
                 generics: clean_generics(generics, cx),
                 fields: variant_data.fields().iter().map(|x| clean_field(x, cx)).collect(),
diff --git a/src/librustdoc/clean/types.rs b/src/librustdoc/clean/types.rs
index 15890fff0c3..75f1bc9549c 100644
--- a/src/librustdoc/clean/types.rs
+++ b/src/librustdoc/clean/types.rs
@@ -1337,9 +1337,9 @@ pub(crate) enum WherePredicate {
 
 impl WherePredicate {
     pub(crate) fn get_bounds(&self) -> Option<&[GenericBound]> {
-        match *self {
-            WherePredicate::BoundPredicate { ref bounds, .. } => Some(bounds),
-            WherePredicate::RegionPredicate { ref bounds, .. } => Some(bounds),
+        match self {
+            WherePredicate::BoundPredicate { bounds, .. } => Some(bounds),
+            WherePredicate::RegionPredicate { bounds, .. } => Some(bounds),
             _ => None,
         }
     }
@@ -1709,13 +1709,13 @@ impl Type {
     ///
     /// [clean]: crate::clean
     pub(crate) fn def_id(&self, cache: &Cache) -> Option<DefId> {
-        let t: PrimitiveType = match *self {
-            Type::Path { ref path } => return Some(path.def_id()),
-            DynTrait(ref bounds, _) => return bounds.first().map(|b| b.trait_.def_id()),
-            Primitive(p) => return cache.primitive_locations.get(&p).cloned(),
+        let t: PrimitiveType = match self {
+            Type::Path { path } => return Some(path.def_id()),
+            DynTrait(bounds, _) => return bounds.first().map(|b| b.trait_.def_id()),
+            Primitive(p) => return cache.primitive_locations.get(p).cloned(),
             BorrowedRef { type_: box Generic(..), .. } => PrimitiveType::Reference,
-            BorrowedRef { ref type_, .. } => return type_.def_id(cache),
-            Tuple(ref tys) => {
+            BorrowedRef { type_, .. } => return type_.def_id(cache),
+            Tuple(tys) => {
                 if tys.is_empty() {
                     PrimitiveType::Unit
                 } else {
@@ -1727,7 +1727,7 @@ impl Type {
             Array(..) => PrimitiveType::Array,
             Type::Pat(..) => PrimitiveType::Pat,
             RawPointer(..) => PrimitiveType::RawPointer,
-            QPath(box QPathData { ref self_type, .. }) => return self_type.def_id(cache),
+            QPath(box QPathData { self_type, .. }) => return self_type.def_id(cache),
             Generic(_) | SelfTy | Infer | ImplTrait(_) | UnsafeBinder(_) => return None,
         };
         Primitive(t).def_id(cache)
diff --git a/src/librustdoc/formats/item_type.rs b/src/librustdoc/formats/item_type.rs
index de6537e992f..3aba7a370ad 100644
--- a/src/librustdoc/formats/item_type.rs
+++ b/src/librustdoc/formats/item_type.rs
@@ -70,12 +70,12 @@ impl Serialize for ItemType {
 
 impl<'a> From<&'a clean::Item> for ItemType {
     fn from(item: &'a clean::Item) -> ItemType {
-        let kind = match item.kind {
-            clean::StrippedItem(box ref item) => item,
-            ref kind => kind,
+        let kind = match &item.kind {
+            clean::StrippedItem(box item) => item,
+            kind => kind,
         };
 
-        match *kind {
+        match kind {
             clean::ModuleItem(..) => ItemType::Module,
             clean::ExternCrateItem { .. } => ItemType::ExternCrate,
             clean::ImportItem(..) => ItemType::Import,
@@ -103,7 +103,7 @@ impl<'a> From<&'a clean::Item> for ItemType {
             clean::ForeignTypeItem => ItemType::ForeignType,
             clean::KeywordItem => ItemType::Keyword,
             clean::TraitAliasItem(..) => ItemType::TraitAlias,
-            clean::ProcMacroItem(ref mac) => match mac.kind {
+            clean::ProcMacroItem(mac) => match mac.kind {
                 MacroKind::Bang => ItemType::Macro,
                 MacroKind::Attr => ItemType::ProcAttribute,
                 MacroKind::Derive => ItemType::ProcDerive,
@@ -134,22 +134,15 @@ impl ItemType {
             DefKind::Trait => Self::Trait,
             DefKind::TyAlias => Self::TypeAlias,
             DefKind::TraitAlias => Self::TraitAlias,
-            DefKind::Macro(kind) => match kind {
-                MacroKind::Bang => ItemType::Macro,
-                MacroKind::Attr => ItemType::ProcAttribute,
-                MacroKind::Derive => ItemType::ProcDerive,
-            },
+            DefKind::Macro(MacroKind::Bang) => ItemType::Macro,
+            DefKind::Macro(MacroKind::Attr) => ItemType::ProcAttribute,
+            DefKind::Macro(MacroKind::Derive) => ItemType::ProcDerive,
             DefKind::ForeignTy => Self::ForeignType,
             DefKind::Variant => Self::Variant,
             DefKind::Field => Self::StructField,
             DefKind::AssocTy => Self::AssocType,
-            DefKind::AssocFn => {
-                if let Some(DefKind::Trait) = parent_kind {
-                    Self::TyMethod
-                } else {
-                    Self::Method
-                }
-            }
+            DefKind::AssocFn if let Some(DefKind::Trait) = parent_kind => Self::TyMethod,
+            DefKind::AssocFn => Self::Method,
             DefKind::Ctor(CtorOf::Struct, _) => Self::Struct,
             DefKind::Ctor(CtorOf::Variant, _) => Self::Variant,
             DefKind::AssocConst => Self::AssocConst,
@@ -170,7 +163,7 @@ impl ItemType {
     }
 
     pub(crate) fn as_str(&self) -> &'static str {
-        match *self {
+        match self {
             ItemType::Module => "mod",
             ItemType::ExternCrate => "externcrate",
             ItemType::Import => "import",
@@ -199,10 +192,10 @@ impl ItemType {
         }
     }
     pub(crate) fn is_method(&self) -> bool {
-        matches!(*self, ItemType::Method | ItemType::TyMethod)
+        matches!(self, ItemType::Method | ItemType::TyMethod)
     }
     pub(crate) fn is_adt(&self) -> bool {
-        matches!(*self, ItemType::Struct | ItemType::Union | ItemType::Enum)
+        matches!(self, ItemType::Struct | ItemType::Union | ItemType::Enum)
     }
 }
 
diff --git a/src/librustdoc/html/format.rs b/src/librustdoc/html/format.rs
index 299fd6b9adb..8c7ab640bed 100644
--- a/src/librustdoc/html/format.rs
+++ b/src/librustdoc/html/format.rs
@@ -856,15 +856,15 @@ fn fmt_type(
 ) -> fmt::Result {
     trace!("fmt_type(t = {t:?})");
 
-    match *t {
+    match t {
         clean::Generic(name) => f.write_str(name.as_str()),
         clean::SelfTy => f.write_str("Self"),
-        clean::Type::Path { ref path } => {
+        clean::Type::Path { path } => {
             // Paths like `T::Output` and `Self::Output` should be rendered with all segments.
             let did = path.def_id();
             resolved_path(f, did, path, path.is_assoc_ty(), use_absolute, cx)
         }
-        clean::DynTrait(ref bounds, ref lt) => {
+        clean::DynTrait(bounds, lt) => {
             f.write_str("dyn ")?;
             tybounds(bounds, lt, cx).fmt(f)
         }
@@ -872,8 +872,8 @@ fn fmt_type(
         clean::Primitive(clean::PrimitiveType::Never) => {
             primitive_link(f, PrimitiveType::Never, format_args!("!"), cx)
         }
-        clean::Primitive(prim) => primitive_link(f, prim, format_args!("{}", prim.as_sym()), cx),
-        clean::BareFunction(ref decl) => {
+        &clean::Primitive(prim) => primitive_link(f, prim, format_args!("{}", prim.as_sym()), cx),
+        clean::BareFunction(decl) => {
             print_higher_ranked_params_with_space(&decl.generic_params, cx, "for").fmt(f)?;
             decl.safety.print_with_space().fmt(f)?;
             print_abi_with_space(decl.abi).fmt(f)?;
@@ -884,11 +884,11 @@ fn fmt_type(
             }
             decl.decl.print(cx).fmt(f)
         }
-        clean::UnsafeBinder(ref binder) => {
+        clean::UnsafeBinder(binder) => {
             print_higher_ranked_params_with_space(&binder.generic_params, cx, "unsafe").fmt(f)?;
             binder.ty.print(cx).fmt(f)
         }
-        clean::Tuple(ref typs) => match &typs[..] {
+        clean::Tuple(typs) => match &typs[..] {
             &[] => primitive_link(f, PrimitiveType::Unit, format_args!("()"), cx),
             [one] => {
                 if let clean::Generic(name) = one {
@@ -925,45 +925,36 @@ fn fmt_type(
                 }
             }
         },
-        clean::Slice(ref t) => match **t {
-            clean::Generic(name) => {
-                primitive_link(f, PrimitiveType::Slice, format_args!("[{name}]"), cx)
-            }
-            _ => {
-                write!(f, "[")?;
-                t.print(cx).fmt(f)?;
-                write!(f, "]")
-            }
-        },
-        clean::Type::Pat(ref t, ref pat) => {
+        clean::Slice(box clean::Generic(name)) => {
+            primitive_link(f, PrimitiveType::Slice, format_args!("[{name}]"), cx)
+        }
+        clean::Slice(t) => {
+            write!(f, "[")?;
+            t.print(cx).fmt(f)?;
+            write!(f, "]")
+        }
+        clean::Type::Pat(t, pat) => {
             fmt::Display::fmt(&t.print(cx), f)?;
             write!(f, " is {pat}")
         }
-        clean::Array(ref t, ref n) => match **t {
-            clean::Generic(name) if !f.alternate() => primitive_link(
-                f,
-                PrimitiveType::Array,
-                format_args!("[{name}; {n}]", n = Escape(n)),
-                cx,
-            ),
-            _ => {
-                write!(f, "[")?;
-                t.print(cx).fmt(f)?;
-                if f.alternate() {
-                    write!(f, "; {n}")?;
-                } else {
-                    write!(f, "; ")?;
-                    primitive_link(
-                        f,
-                        PrimitiveType::Array,
-                        format_args!("{n}", n = Escape(n)),
-                        cx,
-                    )?;
-                }
-                write!(f, "]")
+        clean::Array(box clean::Generic(name), n) if !f.alternate() => primitive_link(
+            f,
+            PrimitiveType::Array,
+            format_args!("[{name}; {n}]", n = Escape(n)),
+            cx,
+        ),
+        clean::Array(t, n) => {
+            write!(f, "[")?;
+            t.print(cx).fmt(f)?;
+            if f.alternate() {
+                write!(f, "; {n}")?;
+            } else {
+                write!(f, "; ")?;
+                primitive_link(f, PrimitiveType::Array, format_args!("{n}", n = Escape(n)), cx)?;
             }
-        },
-        clean::RawPointer(m, ref t) => {
+            write!(f, "]")
+        }
+        clean::RawPointer(m, t) => {
             let m = match m {
                 hir::Mutability::Mut => "mut",
                 hir::Mutability::Not => "const",
@@ -991,7 +982,7 @@ fn fmt_type(
                 t.print(cx).fmt(f)
             }
         }
-        clean::BorrowedRef { lifetime: ref l, mutability, type_: ref ty } => {
+        clean::BorrowedRef { lifetime: l, mutability, type_: ty } => {
             let lt = fmt::from_fn(|f| match l {
                 Some(l) => write!(f, "{} ", l.print()),
                 _ => Ok(()),
@@ -1028,11 +1019,11 @@ fn fmt_type(
             }
             Ok(())
         }
-        clean::ImplTrait(ref bounds) => {
+        clean::ImplTrait(bounds) => {
             f.write_str("impl ")?;
             print_generic_bounds(bounds, cx).fmt(f)
         }
-        clean::QPath(box clean::QPathData {
+        &clean::QPath(box clean::QPathData {
             ref assoc,
             ref self_type,
             ref trait_,
diff --git a/src/tools/miri/cargo-miri/src/phases.rs b/src/tools/miri/cargo-miri/src/phases.rs
index 8ff5ac5d4a2..4857f62cd3a 100644
--- a/src/tools/miri/cargo-miri/src/phases.rs
+++ b/src/tools/miri/cargo-miri/src/phases.rs
@@ -176,6 +176,11 @@ pub fn phase_cargo_miri(mut args: impl Iterator<Item = String>) {
     // Set `--target-dir` to `miri` inside the original target directory.
     let target_dir = get_target_dir(&metadata);
     cmd.arg("--target-dir").arg(target_dir);
+    // Only when running in x.py (where we are running with beta cargo): set `RUSTC_STAGE`.
+    // Will have to be removed on next bootstrap bump. tag: cfg(bootstrap).
+    if env::var_os("RUSTC_STAGE").is_some() {
+        cmd.arg("-Zdoctest-xcompile");
+    }
 
     // *After* we set all the flags that need setting, forward everything else. Make sure to skip
     // `--target-dir` (which would otherwise be set twice).
diff --git a/src/tools/miri/rust-version b/src/tools/miri/rust-version
index 79abbfaeaf1..8b98fe3c4fc 100644
--- a/src/tools/miri/rust-version
+++ b/src/tools/miri/rust-version
@@ -1 +1 @@
-a69bc17fb8026bdc0d24bb1896ff95f0eba1da4e
+ac17c3486c6fdfbb0c3c18b99f3d8dfbff625d29
diff --git a/src/tools/miri/src/helpers.rs b/src/tools/miri/src/helpers.rs
index a3aa8bbbfb3..8e7c9edfcc0 100644
--- a/src/tools/miri/src/helpers.rs
+++ b/src/tools/miri/src/helpers.rs
@@ -932,12 +932,15 @@ pub trait EvalContextExt<'tcx>: crate::MiriInterpCxExt<'tcx> {
         self.read_c_str_with_char_size(ptr, wchar_t.size, wchar_t.align.abi)
     }
 
-    /// Check that the ABI is what we expect.
-    fn check_abi<'a>(&self, fn_abi: &FnAbi<'tcx, Ty<'tcx>>, exp_abi: Conv) -> InterpResult<'a, ()> {
+    /// Check that the calling convention is what we expect.
+    fn check_callconv<'a>(
+        &self,
+        fn_abi: &FnAbi<'tcx, Ty<'tcx>>,
+        exp_abi: Conv,
+    ) -> InterpResult<'a, ()> {
         if fn_abi.conv != exp_abi {
             throw_ub_format!(
-                "calling a function with ABI {:?} using caller ABI {:?}",
-                exp_abi,
+                "calling a function with calling convention {exp_abi} using caller calling convention {}",
                 fn_abi.conv
             );
         }
@@ -973,7 +976,7 @@ pub trait EvalContextExt<'tcx>: crate::MiriInterpCxExt<'tcx> {
         exp_abi: Conv,
         link_name: Symbol,
     ) -> InterpResult<'tcx, ()> {
-        self.check_abi(abi, exp_abi)?;
+        self.check_callconv(abi, exp_abi)?;
         if let Some((body, instance)) = self.eval_context_mut().lookup_exported_symbol(link_name)? {
             // If compiler-builtins is providing the symbol, then don't treat it as a clash.
             // We'll use our built-in implementation in `emulate_foreign_item_inner` for increased
diff --git a/src/tools/miri/tests/fail/alloc/alloc_error_handler.rs b/src/tools/miri/tests/fail/alloc/alloc_error_handler.rs
index 2097126e16b..4a87411d755 100644
--- a/src/tools/miri/tests/fail/alloc/alloc_error_handler.rs
+++ b/src/tools/miri/tests/fail/alloc/alloc_error_handler.rs
@@ -1,5 +1,5 @@
 //@error-in-other-file: aborted
-//@normalize-stderr-test: "unsafe \{ libc::abort\(\) \}|crate::intrinsics::abort\(\);" -> "ABORT();"
+//@normalize-stderr-test: "\|.*::abort\(\).*" -> "| ABORT()"
 //@normalize-stderr-test: "\| +\^+" -> "| ^"
 #![feature(allocator_api)]
 
diff --git a/src/tools/miri/tests/fail/alloc/alloc_error_handler.stderr b/src/tools/miri/tests/fail/alloc/alloc_error_handler.stderr
index 3642f3f28ca..fa84da841fd 100644
--- a/src/tools/miri/tests/fail/alloc/alloc_error_handler.stderr
+++ b/src/tools/miri/tests/fail/alloc/alloc_error_handler.stderr
@@ -2,7 +2,7 @@ memory allocation of 4 bytes failed
 error: abnormal termination: the program aborted execution
   --> RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
    |
-LL |     ABORT();
+LL | ABORT()
    | ^ the program aborted execution
    |
    = note: BACKTRACE:
diff --git a/src/tools/miri/tests/fail/function_calls/check_arg_abi.rs b/src/tools/miri/tests/fail/function_calls/check_arg_abi.rs
index ffa0443ce50..0e916364169 100644
--- a/src/tools/miri/tests/fail/function_calls/check_arg_abi.rs
+++ b/src/tools/miri/tests/fail/function_calls/check_arg_abi.rs
@@ -4,6 +4,6 @@ fn main() {
     }
 
     unsafe {
-        let _ = malloc(0); //~ ERROR: calling a function with ABI C using caller ABI Rust
+        let _ = malloc(0); //~ ERROR: calling a function with calling convention "C" using caller calling convention "Rust"
     };
 }
diff --git a/src/tools/miri/tests/fail/function_calls/check_arg_abi.stderr b/src/tools/miri/tests/fail/function_calls/check_arg_abi.stderr
index bf1fbb7721f..78730182923 100644
--- a/src/tools/miri/tests/fail/function_calls/check_arg_abi.stderr
+++ b/src/tools/miri/tests/fail/function_calls/check_arg_abi.stderr
@@ -1,8 +1,8 @@
-error: Undefined Behavior: calling a function with ABI C using caller ABI Rust
+error: Undefined Behavior: calling a function with calling convention "C" using caller calling convention "Rust"
   --> tests/fail/function_calls/check_arg_abi.rs:LL:CC
    |
 LL |         let _ = malloc(0);
-   |                 ^^^^^^^^^ calling a function with ABI C using caller ABI Rust
+   |                 ^^^^^^^^^ calling a function with calling convention "C" using caller calling convention "Rust"
    |
    = help: this indicates a bug in the program: it performed an invalid operation, and caused Undefined Behavior
    = help: see https://doc.rust-lang.org/nightly/reference/behavior-considered-undefined.html for further information
diff --git a/src/tools/miri/tests/fail/function_calls/check_callback_abi.rs b/src/tools/miri/tests/fail/function_calls/check_callback_abi.rs
index 6a7a26710d1..177e38105e6 100644
--- a/src/tools/miri/tests/fail/function_calls/check_callback_abi.rs
+++ b/src/tools/miri/tests/fail/function_calls/check_callback_abi.rs
@@ -9,7 +9,7 @@ fn main() {
         // Make sure we check the ABI when Miri itself invokes a function
         // as part of a shim implementation.
         std::intrinsics::catch_unwind(
-            //~^ ERROR: calling a function with calling convention C using calling convention Rust
+            //~^ ERROR: calling a function with calling convention "C" using calling convention "Rust"
             std::mem::transmute::<extern "C" fn(*mut u8), _>(try_fn),
             std::ptr::null_mut(),
             |_, _| unreachable!(),
diff --git a/src/tools/miri/tests/fail/function_calls/check_callback_abi.stderr b/src/tools/miri/tests/fail/function_calls/check_callback_abi.stderr
index 6b0692e1c6e..20182ac9236 100644
--- a/src/tools/miri/tests/fail/function_calls/check_callback_abi.stderr
+++ b/src/tools/miri/tests/fail/function_calls/check_callback_abi.stderr
@@ -1,4 +1,4 @@
-error: Undefined Behavior: calling a function with calling convention C using calling convention Rust
+error: Undefined Behavior: calling a function with calling convention "C" using calling convention "Rust"
   --> tests/fail/function_calls/check_callback_abi.rs:LL:CC
    |
 LL | /         std::intrinsics::catch_unwind(
@@ -7,7 +7,7 @@ LL | |             std::mem::transmute::<extern "C" fn(*mut u8), _>(try_fn),
 LL | |             std::ptr::null_mut(),
 LL | |             |_, _| unreachable!(),
 LL | |         );
-   | |_________^ calling a function with calling convention C using calling convention Rust
+   | |_________^ calling a function with calling convention "C" using calling convention "Rust"
    |
    = help: this indicates a bug in the program: it performed an invalid operation, and caused Undefined Behavior
    = help: see https://doc.rust-lang.org/nightly/reference/behavior-considered-undefined.html for further information
diff --git a/src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.cache.stderr b/src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.cache.stderr
index e4302ad1d3a..46a32d1487e 100644
--- a/src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.cache.stderr
+++ b/src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.cache.stderr
@@ -1,8 +1,8 @@
-error: Undefined Behavior: calling a function with calling convention Rust using calling convention C
+error: Undefined Behavior: calling a function with calling convention "Rust" using calling convention "C"
   --> tests/fail/function_calls/exported_symbol_abi_mismatch.rs:LL:CC
    |
 LL |             foo();
-   |             ^^^^^ calling a function with calling convention Rust using calling convention C
+   |             ^^^^^ calling a function with calling convention "Rust" using calling convention "C"
    |
    = help: this indicates a bug in the program: it performed an invalid operation, and caused Undefined Behavior
    = help: see https://doc.rust-lang.org/nightly/reference/behavior-considered-undefined.html for further information
diff --git a/src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.fn_ptr.stderr b/src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.fn_ptr.stderr
index 9f40c48b338..38725289919 100644
--- a/src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.fn_ptr.stderr
+++ b/src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.fn_ptr.stderr
@@ -1,8 +1,8 @@
-error: Undefined Behavior: calling a function with calling convention Rust using calling convention C
+error: Undefined Behavior: calling a function with calling convention "Rust" using calling convention "C"
   --> tests/fail/function_calls/exported_symbol_abi_mismatch.rs:LL:CC
    |
 LL |         std::mem::transmute::<unsafe fn(), unsafe extern "C" fn()>(foo)();
-   |         ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ calling a function with calling convention Rust using calling convention C
+   |         ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ calling a function with calling convention "Rust" using calling convention "C"
    |
    = help: this indicates a bug in the program: it performed an invalid operation, and caused Undefined Behavior
    = help: see https://doc.rust-lang.org/nightly/reference/behavior-considered-undefined.html for further information
diff --git a/src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.no_cache.stderr b/src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.no_cache.stderr
index e4302ad1d3a..46a32d1487e 100644
--- a/src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.no_cache.stderr
+++ b/src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.no_cache.stderr
@@ -1,8 +1,8 @@
-error: Undefined Behavior: calling a function with calling convention Rust using calling convention C
+error: Undefined Behavior: calling a function with calling convention "Rust" using calling convention "C"
   --> tests/fail/function_calls/exported_symbol_abi_mismatch.rs:LL:CC
    |
 LL |             foo();
-   |             ^^^^^ calling a function with calling convention Rust using calling convention C
+   |             ^^^^^ calling a function with calling convention "Rust" using calling convention "C"
    |
    = help: this indicates a bug in the program: it performed an invalid operation, and caused Undefined Behavior
    = help: see https://doc.rust-lang.org/nightly/reference/behavior-considered-undefined.html for further information
diff --git a/src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.rs b/src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.rs
index 50a0e8e6ede..1950e162c07 100644
--- a/src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.rs
+++ b/src/tools/miri/tests/fail/function_calls/exported_symbol_abi_mismatch.rs
@@ -12,7 +12,7 @@ fn main() {
     #[cfg(fn_ptr)]
     unsafe {
         std::mem::transmute::<unsafe fn(), unsafe extern "C" fn()>(foo)();
-        //~[fn_ptr]^ ERROR: calling a function with calling convention Rust using calling convention C
+        //~[fn_ptr]^ ERROR: calling a function with calling convention "Rust" using calling convention "C"
     }
 
     // `Instance` caching should not suppress ABI check.
@@ -28,8 +28,8 @@ fn main() {
         }
         unsafe {
             foo();
-            //~[no_cache]^ ERROR: calling a function with calling convention Rust using calling convention C
-            //~[cache]| ERROR: calling a function with calling convention Rust using calling convention C
+            //~[no_cache]^ ERROR: calling a function with calling convention "Rust" using calling convention "C"
+            //~[cache]| ERROR: calling a function with calling convention "Rust" using calling convention "C"
         }
     }
 }
diff --git a/src/tools/miri/tests/fail/function_calls/exported_symbol_bad_unwind2.both.stderr b/src/tools/miri/tests/fail/function_calls/exported_symbol_bad_unwind2.both.stderr
index b2a501db776..7cb2bf99678 100644
--- a/src/tools/miri/tests/fail/function_calls/exported_symbol_bad_unwind2.both.stderr
+++ b/src/tools/miri/tests/fail/function_calls/exported_symbol_bad_unwind2.both.stderr
@@ -11,7 +11,7 @@ thread caused non-unwinding panic. aborting.
 error: abnormal termination: the program aborted execution
   --> RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
    |
-LL |     ABORT();
+LL | ABORT()
    | ^ the program aborted execution
    |
    = note: BACKTRACE:
diff --git a/src/tools/miri/tests/fail/function_calls/exported_symbol_bad_unwind2.definition.stderr b/src/tools/miri/tests/fail/function_calls/exported_symbol_bad_unwind2.definition.stderr
index b2a501db776..7cb2bf99678 100644
--- a/src/tools/miri/tests/fail/function_calls/exported_symbol_bad_unwind2.definition.stderr
+++ b/src/tools/miri/tests/fail/function_calls/exported_symbol_bad_unwind2.definition.stderr
@@ -11,7 +11,7 @@ thread caused non-unwinding panic. aborting.
 error: abnormal termination: the program aborted execution
   --> RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
    |
-LL |     ABORT();
+LL | ABORT()
    | ^ the program aborted execution
    |
    = note: BACKTRACE:
diff --git a/src/tools/miri/tests/fail/function_calls/exported_symbol_bad_unwind2.rs b/src/tools/miri/tests/fail/function_calls/exported_symbol_bad_unwind2.rs
index 1382e9571f3..9d993786d57 100644
--- a/src/tools/miri/tests/fail/function_calls/exported_symbol_bad_unwind2.rs
+++ b/src/tools/miri/tests/fail/function_calls/exported_symbol_bad_unwind2.rs
@@ -1,5 +1,5 @@
 //@revisions: extern_block definition both
-//@normalize-stderr-test: "unsafe \{ libc::abort\(\) \}|crate::intrinsics::abort\(\);" -> "ABORT();"
+//@normalize-stderr-test: "\|.*::abort\(\).*" -> "| ABORT()"
 //@normalize-stderr-test: "\| +\^+" -> "| ^"
 //@normalize-stderr-test: "\n +[0-9]+:[^\n]+" -> ""
 //@normalize-stderr-test: "\n +at [^\n]+" -> ""
diff --git a/src/tools/miri/tests/fail/intrinsics/uninit_uninhabited_type.rs b/src/tools/miri/tests/fail/intrinsics/uninit_uninhabited_type.rs
index 6e0e0ca9f53..dd3246d8120 100644
--- a/src/tools/miri/tests/fail/intrinsics/uninit_uninhabited_type.rs
+++ b/src/tools/miri/tests/fail/intrinsics/uninit_uninhabited_type.rs
@@ -1,4 +1,4 @@
-//@normalize-stderr-test: "unsafe \{ libc::abort\(\) \}|crate::intrinsics::abort\(\);" -> "ABORT();"
+//@normalize-stderr-test: "\|.*::abort\(\).*" -> "| ABORT()"
 //@normalize-stderr-test: "\| +\^+" -> "| ^"
 //@normalize-stderr-test: "\n +[0-9]+:[^\n]+" -> ""
 //@normalize-stderr-test: "\n +at [^\n]+" -> ""
diff --git a/src/tools/miri/tests/fail/intrinsics/uninit_uninhabited_type.stderr b/src/tools/miri/tests/fail/intrinsics/uninit_uninhabited_type.stderr
index 2c9bea1724d..ba96e595bee 100644
--- a/src/tools/miri/tests/fail/intrinsics/uninit_uninhabited_type.stderr
+++ b/src/tools/miri/tests/fail/intrinsics/uninit_uninhabited_type.stderr
@@ -7,7 +7,7 @@ thread caused non-unwinding panic. aborting.
 error: abnormal termination: the program aborted execution
   --> RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
    |
-LL |     ABORT();
+LL | ABORT()
    | ^ the program aborted execution
    |
    = note: BACKTRACE:
diff --git a/src/tools/miri/tests/fail/intrinsics/zero_fn_ptr.rs b/src/tools/miri/tests/fail/intrinsics/zero_fn_ptr.rs
index 0e8d3d08c12..3d355bad626 100644
--- a/src/tools/miri/tests/fail/intrinsics/zero_fn_ptr.rs
+++ b/src/tools/miri/tests/fail/intrinsics/zero_fn_ptr.rs
@@ -1,4 +1,4 @@
-//@normalize-stderr-test: "unsafe \{ libc::abort\(\) \}|crate::intrinsics::abort\(\);" -> "ABORT();"
+//@normalize-stderr-test: "\|.*::abort\(\).*" -> "| ABORT()"
 //@normalize-stderr-test: "\| +\^+" -> "| ^"
 //@normalize-stderr-test: "\n +[0-9]+:[^\n]+" -> ""
 //@normalize-stderr-test: "\n +at [^\n]+" -> ""
diff --git a/src/tools/miri/tests/fail/intrinsics/zero_fn_ptr.stderr b/src/tools/miri/tests/fail/intrinsics/zero_fn_ptr.stderr
index 0634298a38f..7e1f4160cc0 100644
--- a/src/tools/miri/tests/fail/intrinsics/zero_fn_ptr.stderr
+++ b/src/tools/miri/tests/fail/intrinsics/zero_fn_ptr.stderr
@@ -7,7 +7,7 @@ thread caused non-unwinding panic. aborting.
 error: abnormal termination: the program aborted execution
   --> RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
    |
-LL |     ABORT();
+LL | ABORT()
    | ^ the program aborted execution
    |
    = note: BACKTRACE:
diff --git a/src/tools/miri/tests/fail/panic/abort_unwind.rs b/src/tools/miri/tests/fail/panic/abort_unwind.rs
index e313d9c11de..bd819362da4 100644
--- a/src/tools/miri/tests/fail/panic/abort_unwind.rs
+++ b/src/tools/miri/tests/fail/panic/abort_unwind.rs
@@ -1,5 +1,5 @@
 //@error-in-other-file: the program aborted execution
-//@normalize-stderr-test: "unsafe \{ libc::abort\(\) \}|crate::intrinsics::abort\(\);" -> "ABORT();"
+//@normalize-stderr-test: "\|.*::abort\(\).*" -> "| ABORT()"
 //@normalize-stderr-test: "\| +\^+" -> "| ^"
 //@normalize-stderr-test: "\n +[0-9]+:[^\n]+" -> ""
 //@normalize-stderr-test: "\n +at [^\n]+" -> ""
diff --git a/src/tools/miri/tests/fail/panic/abort_unwind.stderr b/src/tools/miri/tests/fail/panic/abort_unwind.stderr
index 3a63cb38ad0..e6668b09f66 100644
--- a/src/tools/miri/tests/fail/panic/abort_unwind.stderr
+++ b/src/tools/miri/tests/fail/panic/abort_unwind.stderr
@@ -11,7 +11,7 @@ thread caused non-unwinding panic. aborting.
 error: abnormal termination: the program aborted execution
   --> RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
    |
-LL |     ABORT();
+LL | ABORT()
    | ^ the program aborted execution
    |
    = note: BACKTRACE:
diff --git a/src/tools/miri/tests/fail/panic/double_panic.rs b/src/tools/miri/tests/fail/panic/double_panic.rs
index ddc75521eca..4d8f4cb6fb7 100644
--- a/src/tools/miri/tests/fail/panic/double_panic.rs
+++ b/src/tools/miri/tests/fail/panic/double_panic.rs
@@ -1,4 +1,4 @@
-//@normalize-stderr-test: "unsafe \{ libc::abort\(\) \}|crate::intrinsics::abort\(\);" -> "ABORT();"
+//@normalize-stderr-test: "\|.*::abort\(\).*" -> "| ABORT()"
 //@normalize-stderr-test: "\| +\^+" -> "| ^"
 //@normalize-stderr-test: "\n +[0-9]+:[^\n]+" -> ""
 //@normalize-stderr-test: "\n +at [^\n]+" -> ""
diff --git a/src/tools/miri/tests/fail/panic/double_panic.stderr b/src/tools/miri/tests/fail/panic/double_panic.stderr
index 16e933be434..67f88955def 100644
--- a/src/tools/miri/tests/fail/panic/double_panic.stderr
+++ b/src/tools/miri/tests/fail/panic/double_panic.stderr
@@ -14,7 +14,7 @@ thread caused non-unwinding panic. aborting.
 error: abnormal termination: the program aborted execution
   --> RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
    |
-LL |     ABORT();
+LL | ABORT()
    | ^ the program aborted execution
    |
    = note: BACKTRACE:
diff --git a/src/tools/miri/tests/fail/panic/panic_abort1.rs b/src/tools/miri/tests/fail/panic/panic_abort1.rs
index 7552c7b7e80..06cb673778a 100644
--- a/src/tools/miri/tests/fail/panic/panic_abort1.rs
+++ b/src/tools/miri/tests/fail/panic/panic_abort1.rs
@@ -1,6 +1,6 @@
 //@error-in-other-file: the program aborted execution
 //@normalize-stderr-test: "\| +\^+" -> "| ^"
-//@normalize-stderr-test: "unsafe \{ libc::abort\(\); \}|core::intrinsics::abort\(\);" -> "ABORT();"
+//@normalize-stderr-test: "\|.*::abort\(\).*" -> "| ABORT()"
 //@compile-flags: -C panic=abort
 
 fn main() {
diff --git a/src/tools/miri/tests/fail/panic/panic_abort1.stderr b/src/tools/miri/tests/fail/panic/panic_abort1.stderr
index c950b2b4ea6..6d56874ebde 100644
--- a/src/tools/miri/tests/fail/panic/panic_abort1.stderr
+++ b/src/tools/miri/tests/fail/panic/panic_abort1.stderr
@@ -4,13 +4,15 @@ panicking from libstd
 note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
 note: in Miri, you may have to set `MIRIFLAGS=-Zmiri-env-forward=RUST_BACKTRACE` for the environment variable to have an effect
 error: abnormal termination: the program aborted execution
-  --> RUSTLIB/panic_abort/src/lib.rs:LL:CC
+  --> RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
    |
-LL |                 ABORT();
+LL | ABORT()
    | ^ the program aborted execution
    |
    = note: BACKTRACE:
-   = note: inside `panic_abort::__rust_start_panic::abort` at RUSTLIB/panic_abort/src/lib.rs:LL:CC
+   = note: inside `std::sys::pal::PLATFORM::abort_internal` at RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
+   = note: inside `std::process::abort` at RUSTLIB/std/src/process.rs:LL:CC
+   = note: inside `std::rt::__rust_abort` at RUSTLIB/std/src/rt.rs:LL:CC
    = note: inside `panic_abort::__rust_start_panic` at RUSTLIB/panic_abort/src/lib.rs:LL:CC
    = note: inside `std::panicking::rust_panic` at RUSTLIB/std/src/panicking.rs:LL:CC
    = note: inside `std::panicking::rust_panic_with_hook` at RUSTLIB/std/src/panicking.rs:LL:CC
diff --git a/src/tools/miri/tests/fail/panic/panic_abort2.rs b/src/tools/miri/tests/fail/panic/panic_abort2.rs
index 624f9933545..c011b3ee7eb 100644
--- a/src/tools/miri/tests/fail/panic/panic_abort2.rs
+++ b/src/tools/miri/tests/fail/panic/panic_abort2.rs
@@ -1,6 +1,6 @@
 //@error-in-other-file: the program aborted execution
 //@normalize-stderr-test: "\| +\^+" -> "| ^"
-//@normalize-stderr-test: "unsafe \{ libc::abort\(\); \}|core::intrinsics::abort\(\);" -> "ABORT();"
+//@normalize-stderr-test: "\|.*::abort\(\).*" -> "| ABORT()"
 //@compile-flags: -C panic=abort
 
 fn main() {
diff --git a/src/tools/miri/tests/fail/panic/panic_abort2.stderr b/src/tools/miri/tests/fail/panic/panic_abort2.stderr
index 9a9266ec493..dbb56f13f48 100644
--- a/src/tools/miri/tests/fail/panic/panic_abort2.stderr
+++ b/src/tools/miri/tests/fail/panic/panic_abort2.stderr
@@ -4,13 +4,15 @@ thread 'main' panicked at tests/fail/panic/panic_abort2.rs:LL:CC:
 note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
 note: in Miri, you may have to set `MIRIFLAGS=-Zmiri-env-forward=RUST_BACKTRACE` for the environment variable to have an effect
 error: abnormal termination: the program aborted execution
-  --> RUSTLIB/panic_abort/src/lib.rs:LL:CC
+  --> RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
    |
-LL |                 ABORT();
+LL | ABORT()
    | ^ the program aborted execution
    |
    = note: BACKTRACE:
-   = note: inside `panic_abort::__rust_start_panic::abort` at RUSTLIB/panic_abort/src/lib.rs:LL:CC
+   = note: inside `std::sys::pal::PLATFORM::abort_internal` at RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
+   = note: inside `std::process::abort` at RUSTLIB/std/src/process.rs:LL:CC
+   = note: inside `std::rt::__rust_abort` at RUSTLIB/std/src/rt.rs:LL:CC
    = note: inside `panic_abort::__rust_start_panic` at RUSTLIB/panic_abort/src/lib.rs:LL:CC
    = note: inside `std::panicking::rust_panic` at RUSTLIB/std/src/panicking.rs:LL:CC
    = note: inside `std::panicking::rust_panic_with_hook` at RUSTLIB/std/src/panicking.rs:LL:CC
diff --git a/src/tools/miri/tests/fail/panic/panic_abort3.rs b/src/tools/miri/tests/fail/panic/panic_abort3.rs
index d1435b55946..911dc4a44ab 100644
--- a/src/tools/miri/tests/fail/panic/panic_abort3.rs
+++ b/src/tools/miri/tests/fail/panic/panic_abort3.rs
@@ -1,6 +1,6 @@
 //@error-in-other-file: the program aborted execution
 //@normalize-stderr-test: "\| +\^+" -> "| ^"
-//@normalize-stderr-test: "unsafe \{ libc::abort\(\); \}|core::intrinsics::abort\(\);" -> "ABORT();"
+//@normalize-stderr-test: "\|.*::abort\(\).*" -> "| ABORT()"
 //@compile-flags: -C panic=abort
 
 fn main() {
diff --git a/src/tools/miri/tests/fail/panic/panic_abort3.stderr b/src/tools/miri/tests/fail/panic/panic_abort3.stderr
index f04a2b0f3f1..7f0564879e4 100644
--- a/src/tools/miri/tests/fail/panic/panic_abort3.stderr
+++ b/src/tools/miri/tests/fail/panic/panic_abort3.stderr
@@ -4,13 +4,15 @@ panicking from libcore
 note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
 note: in Miri, you may have to set `MIRIFLAGS=-Zmiri-env-forward=RUST_BACKTRACE` for the environment variable to have an effect
 error: abnormal termination: the program aborted execution
-  --> RUSTLIB/panic_abort/src/lib.rs:LL:CC
+  --> RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
    |
-LL |                 ABORT();
+LL | ABORT()
    | ^ the program aborted execution
    |
    = note: BACKTRACE:
-   = note: inside `panic_abort::__rust_start_panic::abort` at RUSTLIB/panic_abort/src/lib.rs:LL:CC
+   = note: inside `std::sys::pal::PLATFORM::abort_internal` at RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
+   = note: inside `std::process::abort` at RUSTLIB/std/src/process.rs:LL:CC
+   = note: inside `std::rt::__rust_abort` at RUSTLIB/std/src/rt.rs:LL:CC
    = note: inside `panic_abort::__rust_start_panic` at RUSTLIB/panic_abort/src/lib.rs:LL:CC
    = note: inside `std::panicking::rust_panic` at RUSTLIB/std/src/panicking.rs:LL:CC
    = note: inside `std::panicking::rust_panic_with_hook` at RUSTLIB/std/src/panicking.rs:LL:CC
diff --git a/src/tools/miri/tests/fail/panic/panic_abort4.rs b/src/tools/miri/tests/fail/panic/panic_abort4.rs
index 54b9c9cbfdb..696fdff7422 100644
--- a/src/tools/miri/tests/fail/panic/panic_abort4.rs
+++ b/src/tools/miri/tests/fail/panic/panic_abort4.rs
@@ -1,6 +1,6 @@
 //@error-in-other-file: the program aborted execution
 //@normalize-stderr-test: "\| +\^+" -> "| ^"
-//@normalize-stderr-test: "unsafe \{ libc::abort\(\); \}|core::intrinsics::abort\(\);" -> "ABORT();"
+//@normalize-stderr-test: "\|.*::abort\(\).*" -> "| ABORT()"
 //@compile-flags: -C panic=abort
 
 fn main() {
diff --git a/src/tools/miri/tests/fail/panic/panic_abort4.stderr b/src/tools/miri/tests/fail/panic/panic_abort4.stderr
index e71c4879ea3..ce6910b9933 100644
--- a/src/tools/miri/tests/fail/panic/panic_abort4.stderr
+++ b/src/tools/miri/tests/fail/panic/panic_abort4.stderr
@@ -4,13 +4,15 @@ thread 'main' panicked at tests/fail/panic/panic_abort4.rs:LL:CC:
 note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
 note: in Miri, you may have to set `MIRIFLAGS=-Zmiri-env-forward=RUST_BACKTRACE` for the environment variable to have an effect
 error: abnormal termination: the program aborted execution
-  --> RUSTLIB/panic_abort/src/lib.rs:LL:CC
+  --> RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
    |
-LL |                 ABORT();
+LL | ABORT()
    | ^ the program aborted execution
    |
    = note: BACKTRACE:
-   = note: inside `panic_abort::__rust_start_panic::abort` at RUSTLIB/panic_abort/src/lib.rs:LL:CC
+   = note: inside `std::sys::pal::PLATFORM::abort_internal` at RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
+   = note: inside `std::process::abort` at RUSTLIB/std/src/process.rs:LL:CC
+   = note: inside `std::rt::__rust_abort` at RUSTLIB/std/src/rt.rs:LL:CC
    = note: inside `panic_abort::__rust_start_panic` at RUSTLIB/panic_abort/src/lib.rs:LL:CC
    = note: inside `std::panicking::rust_panic` at RUSTLIB/std/src/panicking.rs:LL:CC
    = note: inside `std::panicking::rust_panic_with_hook` at RUSTLIB/std/src/panicking.rs:LL:CC
diff --git a/src/tools/miri/tests/fail/ptr_swap_nonoverlapping.rs b/src/tools/miri/tests/fail/ptr_swap_nonoverlapping.rs
index 6f627c416b0..6119e8604b4 100644
--- a/src/tools/miri/tests/fail/ptr_swap_nonoverlapping.rs
+++ b/src/tools/miri/tests/fail/ptr_swap_nonoverlapping.rs
@@ -1,6 +1,6 @@
 //! This is a regression test for <https://github.com/rust-lang/miri/issues/4188>: The precondition
 //! check in `ptr::swap_nonoverlapping` was incorrectly disabled in Miri.
-//@normalize-stderr-test: "unsafe \{ libc::abort\(\) \}|crate::intrinsics::abort\(\);" -> "ABORT();"
+//@normalize-stderr-test: "\|.*::abort\(\).*" -> "| ABORT()"
 //@normalize-stderr-test: "\| +\^+" -> "| ^"
 //@normalize-stderr-test: "\n +[0-9]+:[^\n]+" -> ""
 //@normalize-stderr-test: "\n +at [^\n]+" -> ""
diff --git a/src/tools/miri/tests/fail/ptr_swap_nonoverlapping.stderr b/src/tools/miri/tests/fail/ptr_swap_nonoverlapping.stderr
index 80dd2f39b42..f57487e3ffe 100644
--- a/src/tools/miri/tests/fail/ptr_swap_nonoverlapping.stderr
+++ b/src/tools/miri/tests/fail/ptr_swap_nonoverlapping.stderr
@@ -9,7 +9,7 @@ thread caused non-unwinding panic. aborting.
 error: abnormal termination: the program aborted execution
   --> RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
    |
-LL |     ABORT();
+LL | ABORT()
    | ^ the program aborted execution
    |
    = note: BACKTRACE:
diff --git a/src/tools/miri/tests/fail/tail_calls/cc-mismatch.rs b/src/tools/miri/tests/fail/tail_calls/cc-mismatch.rs
index 5f00dbf2573..952f9697fc7 100644
--- a/src/tools/miri/tests/fail/tail_calls/cc-mismatch.rs
+++ b/src/tools/miri/tests/fail/tail_calls/cc-mismatch.rs
@@ -1,4 +1,4 @@
-//@error-in-other-file: Undefined Behavior: calling a function with calling convention C using calling convention Rust
+//@error-in-other-file: Undefined Behavior: calling a function with calling convention "C" using calling convention "Rust"
 #![feature(explicit_tail_calls)]
 #![allow(incomplete_features)]
 
diff --git a/src/tools/miri/tests/fail/tail_calls/cc-mismatch.stderr b/src/tools/miri/tests/fail/tail_calls/cc-mismatch.stderr
index 5061c9e8dc3..61ddea64472 100644
--- a/src/tools/miri/tests/fail/tail_calls/cc-mismatch.stderr
+++ b/src/tools/miri/tests/fail/tail_calls/cc-mismatch.stderr
@@ -1,8 +1,8 @@
-error: Undefined Behavior: calling a function with calling convention C using calling convention Rust
+error: Undefined Behavior: calling a function with calling convention "C" using calling convention "Rust"
   --> RUSTLIB/core/src/ops/function.rs:LL:CC
    |
 LL |     extern "rust-call" fn call_once(self, args: Args) -> Self::Output;
-   |     ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ calling a function with calling convention C using calling convention Rust
+   |     ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ calling a function with calling convention "C" using calling convention "Rust"
    |
    = help: this indicates a bug in the program: it performed an invalid operation, and caused Undefined Behavior
    = help: see https://doc.rust-lang.org/nightly/reference/behavior-considered-undefined.html for further information
diff --git a/src/tools/miri/tests/fail/terminate-terminator.rs b/src/tools/miri/tests/fail/terminate-terminator.rs
index 465625c7572..31ae829a2de 100644
--- a/src/tools/miri/tests/fail/terminate-terminator.rs
+++ b/src/tools/miri/tests/fail/terminate-terminator.rs
@@ -1,5 +1,5 @@
 //@compile-flags: -Zmir-opt-level=3 -Zinline-mir-hint-threshold=1000
-//@normalize-stderr-test: "unsafe \{ libc::abort\(\) \}|crate::intrinsics::abort\(\);" -> "ABORT();"
+//@normalize-stderr-test: "\|.*::abort\(\).*" -> "| ABORT()"
 //@normalize-stderr-test: "\| +\^+" -> "| ^"
 //@normalize-stderr-test: "\n +[0-9]+:[^\n]+" -> ""
 //@normalize-stderr-test: "\n +at [^\n]+" -> ""
diff --git a/src/tools/miri/tests/fail/terminate-terminator.stderr b/src/tools/miri/tests/fail/terminate-terminator.stderr
index f2548bf5cdb..d16119a30e6 100644
--- a/src/tools/miri/tests/fail/terminate-terminator.stderr
+++ b/src/tools/miri/tests/fail/terminate-terminator.stderr
@@ -13,7 +13,7 @@ thread caused non-unwinding panic. aborting.
 error: abnormal termination: the program aborted execution
   --> RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
    |
-LL |     ABORT();
+LL | ABORT()
    | ^ the program aborted execution
    |
    = note: BACKTRACE:
diff --git a/src/tools/miri/tests/fail/unwind-action-terminate.rs b/src/tools/miri/tests/fail/unwind-action-terminate.rs
index 465e07c8db4..f0fbcfd8867 100644
--- a/src/tools/miri/tests/fail/unwind-action-terminate.rs
+++ b/src/tools/miri/tests/fail/unwind-action-terminate.rs
@@ -1,5 +1,5 @@
 //@error-in-other-file: aborted execution
-//@normalize-stderr-test: "unsafe \{ libc::abort\(\) \}|crate::intrinsics::abort\(\);" -> "ABORT();"
+//@normalize-stderr-test: "\|.*::abort\(\).*" -> "| ABORT()"
 //@normalize-stderr-test: "\| +\^+" -> "| ^"
 //@normalize-stderr-test: "\n +[0-9]+:[^\n]+" -> ""
 //@normalize-stderr-test: "\n +at [^\n]+" -> ""
diff --git a/src/tools/miri/tests/fail/unwind-action-terminate.stderr b/src/tools/miri/tests/fail/unwind-action-terminate.stderr
index 7b9a4383fc4..222d4fb2866 100644
--- a/src/tools/miri/tests/fail/unwind-action-terminate.stderr
+++ b/src/tools/miri/tests/fail/unwind-action-terminate.stderr
@@ -11,7 +11,7 @@ thread caused non-unwinding panic. aborting.
 error: abnormal termination: the program aborted execution
   --> RUSTLIB/std/src/sys/pal/PLATFORM/mod.rs:LL:CC
    |
-LL |     ABORT();
+LL | ABORT()
    | ^ the program aborted execution
    |
    = note: BACKTRACE:
diff --git a/tests/crashes/123456.rs b/tests/crashes/123456.rs
deleted file mode 100644
index ed7cbada3f8..00000000000
--- a/tests/crashes/123456.rs
+++ /dev/null
@@ -1,16 +0,0 @@
-//@ known-bug: #123456
-
-trait Project {
-    const SELF: Self;
-}
-
-fn take1(
-    _: Project<
-        SELF = {
-                   j2.join().unwrap();
-               },
-    >,
-) {
-}
-
-pub fn main() {}
diff --git a/tests/run-make/arm64ec-import-export-static/export.rs b/tests/run-make/arm64ec-import-export-static/export.rs
deleted file mode 100644
index 98b3a66d80c..00000000000
--- a/tests/run-make/arm64ec-import-export-static/export.rs
+++ /dev/null
@@ -1,23 +0,0 @@
-#![crate_type = "dylib"]
-#![allow(internal_features)]
-#![feature(no_core, lang_items)]
-#![no_core]
-#![no_std]
-
-// This is needed because of #![no_core]:
-#[lang = "sized"]
-trait Sized {}
-#[lang = "sync"]
-trait Sync {}
-impl Sync for i32 {}
-#[lang = "copy"]
-pub trait Copy {}
-impl Copy for i32 {}
-#[lang = "drop_in_place"]
-pub unsafe fn drop_in_place<T: ?Sized>(_: *mut T) {}
-#[no_mangle]
-extern "system" fn _DllMainCRTStartup(_: *const u8, _: u32, _: *const u8) -> u32 {
-    1
-}
-
-pub static VALUE: i32 = 42;
diff --git a/tests/run-make/arm64ec-import-export-static/import.rs b/tests/run-make/arm64ec-import-export-static/import.rs
deleted file mode 100644
index 9d52db25125..00000000000
--- a/tests/run-make/arm64ec-import-export-static/import.rs
+++ /dev/null
@@ -1,12 +0,0 @@
-#![crate_type = "cdylib"]
-#![allow(internal_features)]
-#![feature(no_core)]
-#![no_std]
-#![no_core]
-
-extern crate export;
-
-#[no_mangle]
-pub extern "C" fn func() -> i32 {
-    export::VALUE
-}
diff --git a/tests/run-make/arm64ec-import-export-static/rmake.rs b/tests/run-make/arm64ec-import-export-static/rmake.rs
deleted file mode 100644
index 7fa31144810..00000000000
--- a/tests/run-make/arm64ec-import-export-static/rmake.rs
+++ /dev/null
@@ -1,15 +0,0 @@
-// Test that a static can be exported from one crate and imported into another.
-//
-// This was broken for Arm64EC as only functions, not variables, should be
-// decorated with `#`.
-// See https://github.com/rust-lang/rust/issues/138541
-
-//@ needs-llvm-components: aarch64
-//@ only-windows
-
-use run_make_support::rustc;
-
-fn main() {
-    rustc().input("export.rs").target("aarch64-pc-windows-msvc").panic("abort").run();
-    rustc().input("import.rs").target("aarch64-pc-windows-msvc").panic("abort").run();
-}
diff --git a/tests/run-make/sanitizer-dylib-link/program.rs b/tests/run-make/sanitizer-dylib-link/program.rs
index dbf885d343f..1026c7f89ba 100644
--- a/tests/run-make/sanitizer-dylib-link/program.rs
+++ b/tests/run-make/sanitizer-dylib-link/program.rs
@@ -1,4 +1,4 @@
-#[cfg_attr(windows, link(name = "library", kind = "raw-dylib"))]
+#[cfg_attr(windows, link(name = "library.dll.lib", modifiers = "+verbatim"))]
 #[cfg_attr(not(windows), link(name = "library"))]
 extern "C" {
     fn overflow();
diff --git a/tests/ui/associated-types/issue-64855-2.rs b/tests/ui/associated-types/issue-64855-2.rs
index 30cb37b5198..20b8ff17e9e 100644
--- a/tests/ui/associated-types/issue-64855-2.rs
+++ b/tests/ui/associated-types/issue-64855-2.rs
@@ -1,5 +1,8 @@
-//@ check-pass
+// This was originally a test for a `ReEmpty` ICE, but became an unintentional test of
+// the coinductiveness of WF predicates. That behavior was removed, and thus this is
+// also inadvertently a test for the (non-)co-inductiveness of WF predicates.
 
 pub struct Bar<'a>(&'a Self) where Self: ;
+//~^ ERROR overflow evaluating the requirement `Bar<'a> well-formed`
 
 fn main() {}
diff --git a/tests/ui/associated-types/issue-64855-2.stderr b/tests/ui/associated-types/issue-64855-2.stderr
new file mode 100644
index 00000000000..22292a8721a
--- /dev/null
+++ b/tests/ui/associated-types/issue-64855-2.stderr
@@ -0,0 +1,15 @@
+error[E0275]: overflow evaluating the requirement `Bar<'a> well-formed`
+  --> $DIR/issue-64855-2.rs:5:36
+   |
+LL | pub struct Bar<'a>(&'a Self) where Self: ;
+   |                                    ^^^^
+   |
+note: required by a bound in `Bar`
+  --> $DIR/issue-64855-2.rs:5:36
+   |
+LL | pub struct Bar<'a>(&'a Self) where Self: ;
+   |                                    ^^^^ required by this bound in `Bar`
+
+error: aborting due to 1 previous error
+
+For more information about this error, try `rustc --explain E0275`.
diff --git a/tests/ui/associated-types/issue-64855.rs b/tests/ui/associated-types/issue-64855.rs
index 81cf3ae6e83..5d325b981a2 100644
--- a/tests/ui/associated-types/issue-64855.rs
+++ b/tests/ui/associated-types/issue-64855.rs
@@ -1,8 +1,13 @@
+// This was originally a test for a `ReEmpty` ICE, but became an unintentional test of
+// the coinductiveness of WF predicates. That behavior was removed, and thus this is
+// also inadvertently a test for the (non-)co-inductiveness of WF predicates.
+
 pub trait Foo {
     type Type;
 }
 
 pub struct Bar<T>(<Self as Foo>::Type) where Self: ;
 //~^ ERROR the trait bound `Bar<T>: Foo` is not satisfied
+//~| ERROR overflow evaluating the requirement `Bar<T> well-formed`
 
 fn main() {}
diff --git a/tests/ui/associated-types/issue-64855.stderr b/tests/ui/associated-types/issue-64855.stderr
index 7c09abdb3b6..d8ba1a9d07e 100644
--- a/tests/ui/associated-types/issue-64855.stderr
+++ b/tests/ui/associated-types/issue-64855.stderr
@@ -1,15 +1,28 @@
 error[E0277]: the trait bound `Bar<T>: Foo` is not satisfied
-  --> $DIR/issue-64855.rs:5:19
+  --> $DIR/issue-64855.rs:9:19
    |
 LL | pub struct Bar<T>(<Self as Foo>::Type) where Self: ;
    |                   ^^^^^^^^^^^^^^^^^^^ the trait `Foo` is not implemented for `Bar<T>`
    |
 help: this trait has no implementations, consider adding one
-  --> $DIR/issue-64855.rs:1:1
+  --> $DIR/issue-64855.rs:5:1
    |
 LL | pub trait Foo {
    | ^^^^^^^^^^^^^
 
-error: aborting due to 1 previous error
+error[E0275]: overflow evaluating the requirement `Bar<T> well-formed`
+  --> $DIR/issue-64855.rs:9:46
+   |
+LL | pub struct Bar<T>(<Self as Foo>::Type) where Self: ;
+   |                                              ^^^^
+   |
+note: required by a bound in `Bar`
+  --> $DIR/issue-64855.rs:9:46
+   |
+LL | pub struct Bar<T>(<Self as Foo>::Type) where Self: ;
+   |                                              ^^^^ required by this bound in `Bar`
+
+error: aborting due to 2 previous errors
 
-For more information about this error, try `rustc --explain E0277`.
+Some errors have detailed explanations: E0275, E0277.
+For more information about an error, try `rustc --explain E0275`.
diff --git a/tests/ui/async-await/async-drop/auxiliary/async-drop-dep.rs b/tests/ui/async-await/async-drop/auxiliary/async-drop-dep.rs
new file mode 100644
index 00000000000..1729599f7b3
--- /dev/null
+++ b/tests/ui/async-await/async-drop/auxiliary/async-drop-dep.rs
@@ -0,0 +1,28 @@
+//@ edition:2021
+
+#![feature(async_drop)]
+#![allow(incomplete_features)]
+
+pub struct HasDrop;
+impl Drop for HasDrop{
+    fn drop(&mut self) {
+        println!("Sync drop");
+    }
+}
+
+pub struct MongoDrop;
+impl MongoDrop {
+    pub async fn new() -> Result<Self, HasDrop> {
+        Ok(Self)
+    }
+}
+impl Drop for MongoDrop{
+    fn drop(&mut self) {
+        println!("Sync drop");
+    }
+}
+impl std::future::AsyncDrop for MongoDrop {
+    async fn drop(self: std::pin::Pin<&mut Self>) {
+        println!("Async drop");
+    }
+}
diff --git a/tests/ui/async-await/async-drop/dependency-dropped.rs b/tests/ui/async-await/async-drop/dependency-dropped.rs
new file mode 100644
index 00000000000..f763bb32b17
--- /dev/null
+++ b/tests/ui/async-await/async-drop/dependency-dropped.rs
@@ -0,0 +1,34 @@
+//@ run-pass
+//@ check-run-results
+//@ aux-build:async-drop-dep.rs
+//@ edition:2021
+
+#![feature(async_drop)]
+#![allow(incomplete_features)]
+
+extern crate async_drop_dep;
+
+use async_drop_dep::MongoDrop;
+use std::pin::pin;
+use std::task::{Context, Poll, Waker};
+use std::future::Future;
+
+async fn asyncdrop() {
+    let _ = MongoDrop::new().await;
+}
+
+pub fn block_on<T>(fut: impl Future<Output = T>) -> T {
+    let mut fut = pin!(fut);
+    let ctx = &mut Context::from_waker(Waker::noop());
+
+    loop {
+        match fut.as_mut().poll(ctx) {
+            Poll::Pending => {}
+            Poll::Ready(t) => break t,
+        }
+    }
+}
+
+fn main() {
+    let _ = block_on(asyncdrop());
+}
diff --git a/tests/ui/async-await/async-drop/dependency-dropped.run.stdout b/tests/ui/async-await/async-drop/dependency-dropped.run.stdout
new file mode 100644
index 00000000000..7aaf70c12d6
--- /dev/null
+++ b/tests/ui/async-await/async-drop/dependency-dropped.run.stdout
@@ -0,0 +1 @@
+Async drop
diff --git a/tests/ui/consts/miri_unleashed/abi-mismatch.rs b/tests/ui/consts/miri_unleashed/abi-mismatch.rs
index 0a2b3f3abd6..6a46079b39b 100644
--- a/tests/ui/consts/miri_unleashed/abi-mismatch.rs
+++ b/tests/ui/consts/miri_unleashed/abi-mismatch.rs
@@ -10,7 +10,7 @@ const fn call_rust_fn(my_fn: extern "Rust" fn()) {
 
 static VAL: () = call_rust_fn(unsafe { std::mem::transmute(c_fn as extern "C" fn()) });
 //~^ ERROR could not evaluate static initializer
-//~| NOTE calling a function with calling convention C using calling convention Rust
+//~| NOTE calling a function with calling convention "C" using calling convention "Rust"
 
 fn main() {}
 
diff --git a/tests/ui/consts/miri_unleashed/abi-mismatch.stderr b/tests/ui/consts/miri_unleashed/abi-mismatch.stderr
index 88623b134b0..7d1fdcce526 100644
--- a/tests/ui/consts/miri_unleashed/abi-mismatch.stderr
+++ b/tests/ui/consts/miri_unleashed/abi-mismatch.stderr
@@ -2,7 +2,7 @@ error[E0080]: could not evaluate static initializer
   --> $DIR/abi-mismatch.rs:11:18
    |
 LL | static VAL: () = call_rust_fn(unsafe { std::mem::transmute(c_fn as extern "C" fn()) });
-   |                  ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ calling a function with calling convention C using calling convention Rust
+   |                  ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ calling a function with calling convention "C" using calling convention "Rust"
    |
 note: inside `call_rust_fn`
   --> $DIR/abi-mismatch.rs:7:5
diff --git a/tests/ui/coroutine/delayed-obligations-emit.next.stderr b/tests/ui/coroutine/delayed-obligations-emit.next.stderr
new file mode 100644
index 00000000000..3a3663398c9
--- /dev/null
+++ b/tests/ui/coroutine/delayed-obligations-emit.next.stderr
@@ -0,0 +1,15 @@
+error[E0275]: overflow evaluating the requirement `{async block@$DIR/delayed-obligations-emit.rs:17:11: 17:16}: Send`
+  --> $DIR/delayed-obligations-emit.rs:17:5
+   |
+LL |     spawn(async { build_dependencies().await });
+   |     ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+   |
+note: required by a bound in `spawn`
+  --> $DIR/delayed-obligations-emit.rs:31:13
+   |
+LL | fn spawn<F: Send>(_: F) {}
+   |             ^^^^ required by this bound in `spawn`
+
+error: aborting due to 1 previous error
+
+For more information about this error, try `rustc --explain E0275`.
diff --git a/tests/ui/coroutine/delayed-obligations-emit.rs b/tests/ui/coroutine/delayed-obligations-emit.rs
new file mode 100644
index 00000000000..6334f29fcb2
--- /dev/null
+++ b/tests/ui/coroutine/delayed-obligations-emit.rs
@@ -0,0 +1,33 @@
+//@ revisions: current next
+//@ ignore-compare-mode-next-solver (explicit revisions)
+//@[next] compile-flags: -Znext-solver
+//@ edition: 2024
+//@[current] check-pass
+
+// This previously caused an ICE with the new solver.
+// The delayed coroutine obligations were checked with the
+// opaque types inferred by borrowck.
+//
+// One of these delayed obligations failed with overflow in
+// borrowck, causing us to taint `type_of` for the opaque. This
+// then caused us to also not emit an error when checking the
+// coroutine obligations.
+
+fn build_multiple<'a>() -> impl Sized {
+    spawn(async { build_dependencies().await });
+    //[next]~^ ERROR overflow evaluating the requirement
+}
+
+// Adding an explicit `Send` bound fixes it.
+// Proving `build_dependencies(): Send` in `build_multiple` adds
+// addiitional defining uses/placeholders.
+fn build_dependencies() -> impl Future<Output = ()> /* + Send */ {
+    async {
+        Box::pin(build_dependencies()).await;
+        async { build_multiple() }.await;
+    }
+}
+
+fn spawn<F: Send>(_: F) {}
+
+fn main() {}
diff --git a/tests/ui/higher-ranked/trait-bounds/issue-95230.rs b/tests/ui/higher-ranked/trait-bounds/issue-95230.rs
index d1ca6834551..821a04ff065 100644
--- a/tests/ui/higher-ranked/trait-bounds/issue-95230.rs
+++ b/tests/ui/higher-ranked/trait-bounds/issue-95230.rs
@@ -1,11 +1,10 @@
-//@ revisions: old next
-//@[next] compile-flags: -Znext-solver
-//@[old] check-pass
-//@[next] known-bug: #109764
-
+// This used to be a test for overflow handling + higher-ranked outlives
+// in the new solver, but this test isn't expected to pass since WF preds
+// are not coinductive anymore.
 
 pub struct Bar
 where
     for<'a> &'a mut Self:;
+//~^ ERROR overflow evaluating the requirement `for<'a> &'a mut Bar well-formed`
 
 fn main() {}
diff --git a/tests/ui/higher-ranked/trait-bounds/issue-95230.stderr b/tests/ui/higher-ranked/trait-bounds/issue-95230.stderr
new file mode 100644
index 00000000000..7070af75d29
--- /dev/null
+++ b/tests/ui/higher-ranked/trait-bounds/issue-95230.stderr
@@ -0,0 +1,18 @@
+error[E0275]: overflow evaluating the requirement `for<'a> &'a mut Bar well-formed`
+  --> $DIR/issue-95230.rs:7:13
+   |
+LL |     for<'a> &'a mut Self:;
+   |             ^^^^^^^^^^^^
+   |
+note: required by a bound in `Bar`
+  --> $DIR/issue-95230.rs:7:13
+   |
+LL | pub struct Bar
+   |            --- required by a bound in this struct
+LL | where
+LL |     for<'a> &'a mut Self:;
+   |             ^^^^^^^^^^^^ required by this bound in `Bar`
+
+error: aborting due to 1 previous error
+
+For more information about this error, try `rustc --explain E0275`.
diff --git a/tests/ui/traits/object/ambiguity-vtable-segfault.rs b/tests/ui/traits/object/ambiguity-vtable-segfault.rs
new file mode 100644
index 00000000000..dff7d26ae93
--- /dev/null
+++ b/tests/ui/traits/object/ambiguity-vtable-segfault.rs
@@ -0,0 +1,37 @@
+// In this example below, we have two overlapping candidates for `dyn Q: Q`.
+// Specifically, the user written impl for `<dyn Q as Mirror>::Assoc` and the
+// built-in impl for object types. Since they differ by their region responses,
+// the goal is ambiguous. This affects codegen since impossible obligations
+// for method dispatch will lead to a segfault, since we end up emitting dummy
+// call vtable offsets due to <https://github.com/rust-lang/rust/pull/136311>.
+
+// Test for <https://github.com/rust-lang/rust/issues/141119>.
+
+//@ run-pass
+
+trait Mirror {
+    type Assoc: ?Sized;
+}
+impl<T: ?Sized> Mirror for T {
+    type Assoc = T;
+}
+
+trait Q: 'static {
+    fn q(&self);
+}
+
+impl Q for i32 {
+    fn q(&self) { println!("i32"); }
+}
+
+impl Q for <dyn Q as Mirror>::Assoc where Self: 'static {
+    fn q(&self) { println!("dyn Q"); }
+}
+
+fn foo<T: Q + ?Sized>(t: &T) {
+    t.q();
+}
+
+fn main() {
+    foo(&1 as &dyn Q);
+}
diff --git a/tests/ui/typeck/suggestions/macro-shorthand-issue-140659.rs b/tests/ui/typeck/suggestions/macro-shorthand-issue-140659.rs
new file mode 100644
index 00000000000..d71a7ff1d3d
--- /dev/null
+++ b/tests/ui/typeck/suggestions/macro-shorthand-issue-140659.rs
@@ -0,0 +1,56 @@
+trait Reencode {
+    type Error;
+    fn tag_index(&mut self, tag: u32) -> Result<u32, Self::Error>;
+}
+
+struct Reencoder;
+impl Reencode for Reencoder {
+    type Error = &'static str;
+    fn tag_index(&mut self, tag: u32) -> Result<u32, Self::Error> {
+        Ok(tag)
+    }
+}
+
+
+enum Operator {
+    Suspend { tag_index: u32 },
+}
+
+enum Instruction {
+    Suspend { tag_index: u32 },
+}
+
+
+macro_rules! for_each_operator {
+    ($m:ident) => {
+        $m! {
+            Suspend { tag_index: u32 } => visit_suspend
+        }
+    };
+}
+
+
+fn process<T: Reencode>(op: &Operator, reencoder: &mut T) -> Instruction {
+    macro_rules! translate {
+        (Suspend { tag_index: $ty:ty } => $visit:ident) => {
+            match op {
+                Operator::Suspend { tag_index } => {
+                    let tag_index = reencoder.tag_index(*tag_index);
+
+                    // KEY POINT: Using field shorthand syntax where the compiler gets confused
+                    // Here tag_index is a Result<u32, E> but we're using it where u32 is expected
+                    Instruction::Suspend { tag_index } //~ ERROR mismatched types [E0308]
+                }
+            }
+        };
+    }
+
+    for_each_operator!(translate)
+}
+
+fn main() {
+    let mut reencoder = Reencoder;
+    let op = Operator::Suspend { tag_index: 1 };
+
+    let _ = process(&op, &mut reencoder);
+}
diff --git a/tests/ui/typeck/suggestions/macro-shorthand-issue-140659.stderr b/tests/ui/typeck/suggestions/macro-shorthand-issue-140659.stderr
new file mode 100644
index 00000000000..12537754d80
--- /dev/null
+++ b/tests/ui/typeck/suggestions/macro-shorthand-issue-140659.stderr
@@ -0,0 +1,16 @@
+error[E0308]: mismatched types
+  --> $DIR/macro-shorthand-issue-140659.rs:42:44
+   |
+LL |                     Instruction::Suspend { tag_index }
+   |                                            ^^^^^^^^^ expected `u32`, found `Result<u32, <T as Reencode>::Error>`
+...
+LL |     for_each_operator!(translate)
+   |     ----------------------------- in this macro invocation
+   |
+   = note: expected type `u32`
+              found enum `Result<u32, <T as Reencode>::Error>`
+   = note: this error originates in the macro `translate` which comes from the expansion of the macro `for_each_operator` (in Nightly builds, run with -Z macro-backtrace for more info)
+
+error: aborting due to 1 previous error
+
+For more information about this error, try `rustc --explain E0308`.
diff --git a/tests/ui/typeck/suggest-adding-missing-zero-to-floating-point-number.fixed b/tests/ui/typeck/suggestions/suggest-adding-missing-zero-to-floating-point-number.fixed
index cb4a3967741..cb4a3967741 100644
--- a/tests/ui/typeck/suggest-adding-missing-zero-to-floating-point-number.fixed
+++ b/tests/ui/typeck/suggestions/suggest-adding-missing-zero-to-floating-point-number.fixed
diff --git a/tests/ui/typeck/suggest-adding-missing-zero-to-floating-point-number.rs b/tests/ui/typeck/suggestions/suggest-adding-missing-zero-to-floating-point-number.rs
index e4cafc466c6..e4cafc466c6 100644
--- a/tests/ui/typeck/suggest-adding-missing-zero-to-floating-point-number.rs
+++ b/tests/ui/typeck/suggestions/suggest-adding-missing-zero-to-floating-point-number.rs
diff --git a/tests/ui/typeck/suggest-adding-missing-zero-to-floating-point-number.stderr b/tests/ui/typeck/suggestions/suggest-adding-missing-zero-to-floating-point-number.stderr
index 503015f3bec..503015f3bec 100644
--- a/tests/ui/typeck/suggest-adding-missing-zero-to-floating-point-number.stderr
+++ b/tests/ui/typeck/suggestions/suggest-adding-missing-zero-to-floating-point-number.stderr
diff --git a/tests/ui/typeck/suggest-arg-comma-delete-ice.rs b/tests/ui/typeck/suggestions/suggest-arg-comma-delete-ice.rs
index 48d02e13eca..48d02e13eca 100644
--- a/tests/ui/typeck/suggest-arg-comma-delete-ice.rs
+++ b/tests/ui/typeck/suggestions/suggest-arg-comma-delete-ice.rs
diff --git a/tests/ui/typeck/suggest-arg-comma-delete-ice.stderr b/tests/ui/typeck/suggestions/suggest-arg-comma-delete-ice.stderr
index 0b899ad2712..0b899ad2712 100644
--- a/tests/ui/typeck/suggest-arg-comma-delete-ice.stderr
+++ b/tests/ui/typeck/suggestions/suggest-arg-comma-delete-ice.stderr
diff --git a/tests/ui/typeck/suggest-box-on-divergent-if-else-arms.fixed b/tests/ui/typeck/suggestions/suggest-box-on-divergent-if-else-arms.fixed
index f562b24cc4c..f562b24cc4c 100644
--- a/tests/ui/typeck/suggest-box-on-divergent-if-else-arms.fixed
+++ b/tests/ui/typeck/suggestions/suggest-box-on-divergent-if-else-arms.fixed
diff --git a/tests/ui/typeck/suggest-box-on-divergent-if-else-arms.rs b/tests/ui/typeck/suggestions/suggest-box-on-divergent-if-else-arms.rs
index e364e6daa6a..e364e6daa6a 100644
--- a/tests/ui/typeck/suggest-box-on-divergent-if-else-arms.rs
+++ b/tests/ui/typeck/suggestions/suggest-box-on-divergent-if-else-arms.rs
diff --git a/tests/ui/typeck/suggest-box-on-divergent-if-else-arms.stderr b/tests/ui/typeck/suggestions/suggest-box-on-divergent-if-else-arms.stderr
index c58bf60e7d6..c58bf60e7d6 100644
--- a/tests/ui/typeck/suggest-box-on-divergent-if-else-arms.stderr
+++ b/tests/ui/typeck/suggestions/suggest-box-on-divergent-if-else-arms.stderr
diff --git a/tests/ui/typeck/suggest-similar-impls-for-root-obligation.rs b/tests/ui/typeck/suggestions/suggest-similar-impls-for-root-obligation.rs
index d00b4f33132..d00b4f33132 100644
--- a/tests/ui/typeck/suggest-similar-impls-for-root-obligation.rs
+++ b/tests/ui/typeck/suggestions/suggest-similar-impls-for-root-obligation.rs
diff --git a/tests/ui/typeck/suggest-similar-impls-for-root-obligation.stderr b/tests/ui/typeck/suggestions/suggest-similar-impls-for-root-obligation.stderr
index 5c0d98735f7..5c0d98735f7 100644
--- a/tests/ui/typeck/suggest-similar-impls-for-root-obligation.stderr
+++ b/tests/ui/typeck/suggestions/suggest-similar-impls-for-root-obligation.stderr