问如何在Bash中对数组进行排序

EN

#!/bin/bash
array=(.....)
index_of_element1=0

while (( ${index_of_element1} < ${#array[@]} )); do

    element_1="${array[${index_of_element1}]}"

    index_of_element2=$((index_of_element1 + 1))
    index_of_min=${index_of_element1}

    min_element="${element_1}"

        for element_2 in "${array[@]:$((index_of_element1 + 1))}"; do
            min_element="`printf "%s\n%s" "${min_element}" "${element_2}" | sort | head -n+1`"      
            if [[ "${min_element}" == "${element_2}" ]]; then
                index_of_min=${index_of_element2}
            fi
            let index_of_element2++
        done

        array[${index_of_element1}]="${min_element}"
        array[${index_of_min}]="${element_1}"

    let index_of_element1++
done

array=(a c b f 3 5)
new_array=($(echo "${array[@]}" | sed 's/ /\n/g' | sort))    
echo ${new_array[@]}

3 5 a b c f

mergesort() {
  local -n -r input_reference="$1"
  local -n output_reference="$2"
  local -r -i size="${#input_reference[@]}"
  local merge previous
  local -a -i runs indices
  local -i index previous_idx merged_idx \
           run_a_idx run_a_stop \
           run_b_idx run_b_stop

  output_reference=("${input_reference[@]}")
  if ((size == 0)); then return; fi

  previous="${output_reference[0]}"
  runs=(0)
  for ((index = 0;;)) do
    for ((++index;; ++index)); do
      if ((index >= size)); then break 2; fi
      if [[ "${output_reference[index]}" < "$previous" ]]; then break; fi
      previous="${output_reference[index]}"
    done
    previous="${output_reference[index]}"
    runs+=(index)
  done
  runs+=(size)

  while (("${#runs[@]}" > 2)); do
    indices=("${!runs[@]}")
    merge=("${output_reference[@]}")
    for ((index = 0; index < "${#indices[@]}" - 2; index += 2)); do
      merged_idx=runs[indices[index]]
      run_a_idx=merged_idx
      previous_idx=indices[$((index + 1))]
      run_a_stop=runs[previous_idx]
      run_b_idx=runs[previous_idx]
      run_b_stop=runs[indices[$((index + 2))]]
      unset runs[previous_idx]
      while ((run_a_idx < run_a_stop && run_b_idx < run_b_stop)); do
        if [[ "${merge[run_a_idx]}" < "${merge[run_b_idx]}" ]]; then
          output_reference[merged_idx++]="${merge[run_a_idx++]}"
        else
          output_reference[merged_idx++]="${merge[run_b_idx++]}"
        fi
      done
      while ((run_a_idx < run_a_stop)); do
        output_reference[merged_idx++]="${merge[run_a_idx++]}"
      done
      while ((run_b_idx < run_b_stop)); do
        output_reference[merged_idx++]="${merge[run_b_idx++]}"
      done
    done
  done
}

declare -ar input=({z..a}{z..a})
declare -a output

mergesort input output

echo "${input[@]}"
echo "${output[@]}"