feat: add binary insertion sort algorithm

sort/binaryinsertionsort.go

@@ -0,0 +1,35 @@
+// Binary Insertion Sort
+// description: Implementation of binary insertion sort in Go
+// details: Binary Insertion Sort is a variation of
+// Insertion sort in which proper location to
+// insert the selected element is found using the
+// Binary search algorithm.
+// ref: https://www.geeksforgeeks.org/binary-insertion-sort
+
+package sort
+
+import "github.com/TheAlgorithms/Go/constraints"
+
+func BinaryInsertion[T constraints.Ordered](arr []T) []T {
+	for currentIndex := 1; currentIndex < len(arr); currentIndex++ {
+		temporary := arr[currentIndex]
+		low := 0
+		high := currentIndex - 1
+
+		for low <= high {
+			mid := low + (high-low)/2
+			if arr[mid] > temporary {
+				high = mid - 1
+			} else {
+				low = mid + 1
+			}
+		}
+
+		for itr := currentIndex; itr > low; itr-- {
+			arr[itr] = arr[itr-1]
+		}
+
+		arr[low] = temporary
+	}
+	return arr
+}

sort/sorts_test.go

@@ -76,7 +76,10 @@ func testFramework(t *testing.T, sortingFunction func([]int) []int) {
 	}
 }
 
-//BEGIN TESTS
+// BEGIN TESTS
+func TestBinaryInsertion(t *testing.T) {
+	testFramework(t, sort.BinaryInsertion[int])
+}
 
 func TestBubble(t *testing.T) {
 	testFramework(t, sort.Bubble[int])
@@ -219,6 +222,10 @@ func benchmarkFramework(b *testing.B, f func(arr []int) []int) {
 
 //BEGIN BENCHMARKS
 
+func BenchmarkBinaryInsertion(b *testing.B) {
+	benchmarkFramework(b, sort.BinaryInsertion[int])
+}
+
 func BenchmarkBubble(b *testing.B) {
 	benchmarkFramework(b, sort.Bubble[int])
 }