function customFilter(array, callback) {
    var result = [];
        for (var i = 0; i < array.length; i++) {
            if (callback(array[i])) {
                result.push(array[i]);
            }
        }
    return result;
}



function check_filter(origin_array, examine_filter, arrow_function) {
    // Get filtered arrays
    var filtered_origin_array = origin_array.filter(arrow_function);
    var filtered_examine_array = customFilter(origin_array, arrow_function);
    // Check for correct filtering. Return "true" in case of correct filter, "false" - otherwise
    if (Math.min.apply(Math, filtered_examine_array) == Math.min.apply(Math, filtered_origin_array) &&
        Math.max.apply(Math, filtered_examine_array) == Math.max.apply(Math, filtered_origin_array) &&
        filtered_examine_array.length == filtered_origin_array.length) {
        return true
    } else {
        return false
    }

}


function main_check(examine_filter) {

    // Test cases
    // Case 1
    var arr_1 = [-5, -2, 0, 1, 2, 5, 9];
    arrow_fn_1 = item => item > 1;
    result_1 = check_filter(arr_1, examine_filter, arrow_fn_1);
    // Case 2
    var arr_2 = [0, 3, 4, 7, 12];
    arrow_fn_2 = item => item < 5;
    result_2 = check_filter(arr_2, examine_filter, arrow_fn_2);
    // Case 3
    var arr_3 = [0.1, 12.3, 44.12, -70.23, 0.12];
    arrow_fn_3 = item => item < 5;
    result_3 = check_filter(arr_3, examine_filter, arrow_fn_3);
    // Case 4
    var arr_4 = [];
    arrow_fn_4 = item => item > 7;
    result_4 = check_filter(arr_4, examine_filter, arrow_fn_4);
    // Case 5
    var arr_5 = [0, 0, 0];
    arrow_fn_5 = item => item == 0;
    result_5 = check_filter(arr_5, examine_filter, arrow_fn_5);
    // Case 6
    var arr_6 = ['s', 3, []];
    arrow_fn_6 = item => item == 0;
    result_6 = check_filter(arr_6, examine_filter, arrow_fn_6);

    // Result conclusion
    if (result_1 && result_2 && result_3 && result_4 && result_5 && result_6) {
        return true
    } else {
        return false
    }
}

console.log(main_check(customFilter));