[libc++][test] Cleanup typos and unnecessary semicolons (#73435)

I've structured this into a series of commits for even easier reviewing,
if that helps. I could easily split this up into separate PRs if
desired, but as this is low-risk with simple edits, I thought one PR
would be easiest.

* Drop unnecessary semicolons after function definitions.
* Cleanup comment typos.
* Cleanup `static_assert` typos.
* Cleanup test code typos.
+ There should be no functional changes, assuming I've changed all
occurrences.
* ~~Fix massive test code typos.~~
+ This was a real problem, but needed more surgery. I reverted those
changes here, and @philnik777 is fixing this properly with #73444.
* clang-formatting as requested by the CI.

2 files changed, 2 insertions, 2 deletions

diff --git a/libcxx/test/std/algorithms/alg.nonmodifying/alg.equal/equal.pass.cpp b/libcxx/test/std/algorithms/alg.nonmodifying/alg.equal/equal.pass.cpp
index faf597c..e28cbe2 100644
--- a/libcxx/test/std/algorithms/alg.nonmodifying/alg.equal/equal.pass.cpp
+++ b/libcxx/test/std/algorithms/alg.nonmodifying/alg.equal/equal.pass.cpp
@@ -18,7 +18,7 @@
 //   constexpr bool     // constexpr after c++17
 //   equal(Iter1 first1, Iter1 last1, Iter2 first2, Iter2 last2);
 
-// We test the cartesian product, so we somethimes compare differently signed types
+// We test the cartesian product, so we sometimes compare differently signed types
 // ADDITIONAL_COMPILE_FLAGS: -Wno-sign-compare
 
 #include <algorithm>
diff --git a/libcxx/test/std/algorithms/alg.nonmodifying/alg.foreach/ranges.for_each_n.pass.cpp b/libcxx/test/std/algorithms/alg.nonmodifying/alg.foreach/ranges.for_each_n.pass.cpp
index 9641411..9138199 100644
--- a/libcxx/test/std/algorithms/alg.nonmodifying/alg.foreach/ranges.for_each_n.pass.cpp
+++ b/libcxx/test/std/algorithms/alg.nonmodifying/alg.foreach/ranges.for_each_n.pass.cpp
@@ -57,7 +57,7 @@ constexpr void test_iterator() {
     assert(i == 4);
   }
 
-  { // check that an emptry range works
+  { // check that an empty range works
     int a[] = {};
     std::ranges::for_each_n(Iter(a), 0, [](auto&) { assert(false); });
   }