Auto merge of #40826 - frewsxcv:rollup, r=frewsxcv

Rollup of 7 pull requests

- Successful merges: #40642, #40734, #40740, #40771, #40807, #40820, #40821
- Failed merges:

2 files changed, 4 insertions, 4 deletions

diff --git a/src/libcore/num/dec2flt/algorithm.rs b/src/libcore/num/dec2flt/algorithm.rs
index 604bc7c10de..60dab943a3a 100644
--- a/src/libcore/num/dec2flt/algorithm.rs
+++ b/src/libcore/num/dec2flt/algorithm.rs
@@ -141,7 +141,7 @@ pub fn fast_path<T: RawFloat>(integral: &[u8], fractional: &[u8], e: i64) -> Opt
 ///
 /// It rounds ``f`` to a float with 64 bit significand and multiplies it by the best approximation
 /// of `10^e` (in the same floating point format). This is often enough to get the correct result.
-/// However, when the result is close to halfway between two adjecent (ordinary) floats, the
+/// However, when the result is close to halfway between two adjacent (ordinary) floats, the
 /// compound rounding error from multiplying two approximation means the result may be off by a
 /// few bits. When this happens, the iterative Algorithm R fixes things up.
 ///
@@ -392,7 +392,7 @@ fn underflow<T: RawFloat>(x: Big, v: Big, rem: Big) -> T {
     //
     // Therefore, when the rounded-off bits are != 0.5 ULP, they decide the rounding
     // on their own. When they are equal and the remainder is non-zero, the value still
-    // needs to be rounded up. Only when the rounded off bits are 1/2 and the remainer
+    // needs to be rounded up. Only when the rounded off bits are 1/2 and the remainder
     // is zero, we have a half-to-even situation.
     let bits = x.bit_length();
     let lsb = bits - T::sig_bits() as usize;
diff --git a/src/libcore/slice/sort.rs b/src/libcore/slice/sort.rs
index d13d537d993..307e4974d97 100644
--- a/src/libcore/slice/sort.rs
+++ b/src/libcore/slice/sort.rs
@@ -152,8 +152,8 @@ fn partial_insertion_sort<T, F>(v: &mut [T], is_less: &mut F) -> bool
 fn insertion_sort<T, F>(v: &mut [T], is_less: &mut F)
     where F: FnMut(&T, &T) -> bool
 {
-    for i in 2..v.len()+1 {
-        shift_tail(&mut v[..i], is_less);
+    for i in 1..v.len() {
+        shift_tail(&mut v[..i+1], is_less);
     }
 }