[infer] Narrow all loops at least once in the widening phase

Summary:
This diff tries more narrowing during analysis in order to get preciser results on nested loops.

In the widening phase, it does narrowing a loop right after its widening, for each loops. In general, this may make the widening phase non-terminating because it keeps the abstract state from monotonely increasing to the fixed point in a finite number of iterations. To avoid that situation, this diff applies the narrowing only when the first visit of the loop in the widening phase.

Reviewed By: ngorogiannis

Differential Revision: D18400631

fbshipit-source-id: cc76f7e85
master
Sungkeun Cho 5 years ago committed by Facebook Github Bot
parent 2e06f98a64
commit e66a23a04c

@ -368,7 +368,7 @@ module MakeUsingWTO (TransferFunctions : TransferFunctions.SIL) = struct
To mitigate the problem, it tries to do narrowing, in loop level, right after it found a To mitigate the problem, it tries to do narrowing, in loop level, right after it found a
fixpoint of a loop. Thus, it narrows before the widened values are flowed to the following fixpoint of a loop. Thus, it narrows before the widened values are flowed to the following
loops. In order to guarantee the termination of the analysis, this eager narrowing is applied loops. In order to guarantee the termination of the analysis, this eager narrowing is applied
only to the outermost loops. *) only to the outermost loops or when the first visits of each loops. *)
type mode = Widen | WidenThenNarrow | Narrow type mode = Widen | WidenThenNarrow | Narrow
let is_narrowing_of = function Widen | WidenThenNarrow -> false | Narrow -> true let is_narrowing_of = function Widen | WidenThenNarrow -> false | Narrow -> true
@ -406,6 +406,8 @@ module MakeUsingWTO (TransferFunctions : TransferFunctions.SIL) = struct
| Component {head; rest; next} -> | Component {head; rest; next} ->
let inv_map = let inv_map =
match mode with match mode with
| Widen when is_first_visit ->
do_widen_then_narrow ~pp_instr cfg proc_data inv_map head ~is_first_visit rest
| Widen | Narrow -> | Widen | Narrow ->
exec_wto_component ~pp_instr cfg proc_data inv_map head ~is_loop_head:false ~mode exec_wto_component ~pp_instr cfg proc_data inv_map head ~is_loop_head:false ~mode
~is_first_visit rest ~is_first_visit rest

@ -51,6 +51,16 @@ public class ArrayListTest {
for (int i = 0, size = list.size(); i < size; ++i) {} for (int i = 0, size = list.size(); i < size; ++i) {}
} }
public void arraylist_add_in_nested_loop_constant() {
for (int j = 0; j < 10; j++) {
ArrayList<Integer> list = new ArrayList<Integer>();
for (int i = 0; i < 10; ++i) {
list.add(i);
}
for (int i = 0, size = list.size(); i < size; ++i) {}
}
}
public void arraylist_add_in_loop_ok() { public void arraylist_add_in_loop_ok() {
ArrayList<Integer> list = new ArrayList<Integer>(); ArrayList<Integer> list = new ArrayList<Integer>();
list.add(0); list.add(0);

@ -19,6 +19,8 @@ codetoanalyze/java/performance/ArrayCost.java, ArrayCost.ArrayCost(int[]):void,
codetoanalyze/java/performance/ArrayCost.java, ArrayCost.isPowOfTwo_FP(int):boolean, 4, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 883, O(1), degree = 0] codetoanalyze/java/performance/ArrayCost.java, ArrayCost.isPowOfTwo_FP(int):boolean, 4, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 883, O(1), degree = 0]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_add3_overrun_bad():void, 5, BUFFER_OVERRUN_L1, no_bucket, ERROR, [<Length trace>,Array declaration,Through,Through,Through,Array access: Offset added: 4 Size: 3] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_add3_overrun_bad():void, 5, BUFFER_OVERRUN_L1, no_bucket, ERROR, [<Length trace>,Array declaration,Through,Through,Through,Array access: Offset added: 4 Size: 3]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_addAll_bad():void, 10, BUFFER_OVERRUN_L1, no_bucket, ERROR, [<Length trace>,Array declaration,Through,Through,Through,Array access: Offset added: 5 Size: 4] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_addAll_bad():void, 10, BUFFER_OVERRUN_L1, no_bucket, ERROR, [<Length trace>,Array declaration,Through,Through,Through,Array access: Offset added: 5 Size: 4]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_add_in_nested_loop_constant():void, 1, EXPENSIVE_ALLOCATION, no_bucket, ERROR, [with estimated cost 10, O(1), degree = 0]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_add_in_nested_loop_constant():void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 1772, O(1), degree = 0]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_empty_overrun_bad():void, 2, BUFFER_OVERRUN_L1, no_bucket, ERROR, [<Length trace>,Array declaration,Array access: Offset added: 1 Size: 0] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_empty_overrun_bad():void, 2, BUFFER_OVERRUN_L1, no_bucket, ERROR, [<Length trace>,Array declaration,Array access: Offset added: 1 Size: 0]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_empty_underrun_bad():void, 2, BUFFER_OVERRUN_L1, no_bucket, ERROR, [<Length trace>,Array declaration,Array access: Offset added: -1 Size: 0] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_empty_underrun_bad():void, 2, BUFFER_OVERRUN_L1, no_bucket, ERROR, [<Length trace>,Array declaration,Array access: Offset added: -1 Size: 0]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_get_overrun_bad():void, 3, BUFFER_OVERRUN_L1, no_bucket, ERROR, [<Length trace>,Array declaration,Through,Array access: Offset: 2 Size: 1] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_get_overrun_bad():void, 3, BUFFER_OVERRUN_L1, no_bucket, ERROR, [<Length trace>,Array declaration,Through,Array access: Offset: 2 Size: 1]
@ -29,25 +31,25 @@ codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_remov
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_remove_overrun_bad():void, 3, BUFFER_OVERRUN_L1, no_bucket, ERROR, [<Length trace>,Array declaration,Through,Array access: Offset: 1 Size: 1] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_remove_overrun_bad():void, 3, BUFFER_OVERRUN_L1, no_bucket, ERROR, [<Length trace>,Array declaration,Through,Array access: Offset: 1 Size: 1]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_set_overrun_bad():void, 3, BUFFER_OVERRUN_L1, no_bucket, ERROR, [<Length trace>,Array declaration,Through,Array access: Offset: 1 Size: 1] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_set_overrun_bad():void, 3, BUFFER_OVERRUN_L1, no_bucket, ERROR, [<Length trace>,Array declaration,Through,Array access: Offset: 1 Size: 1]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_set_underrun_bad():void, 2, BUFFER_OVERRUN_L1, no_bucket, ERROR, [<Length trace>,Array declaration,Array access: Offset: 0 Size: 0] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.arraylist_set_underrun_bad():void, 2, BUFFER_OVERRUN_L1, no_bucket, ERROR, [<Length trace>,Array declaration,Array access: Offset: 0 Size: 0]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.boolean_control_var_linear():void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 2 + 19 ⋅ this.arr.length + 4 ⋅ (this.arr.length + 1), O(this.arr.length), degree = 1,{this.arr.length + 1},Loop at line 290,{this.arr.length},Loop at line 290] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.boolean_control_var_linear():void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 2 + 19 ⋅ this.arr.length + 4 ⋅ (this.arr.length + 1), O(this.arr.length), degree = 1,{this.arr.length + 1},Loop at line 300,{this.arr.length},Loop at line 300]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.call_init_with_put_linear(java.util.ArrayList):void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 13 + 13 ⋅ a.length + 3 ⋅ (a.length + 1), O(a.length), degree = 1,{a.length + 1},call to HashMap ArrayListTest.init_with_put_linear(ArrayList),Loop at line 299,{a.length},call to HashMap ArrayListTest.init_with_put_linear(ArrayList),Loop at line 299] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.call_init_with_put_linear(java.util.ArrayList):void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 13 + 13 ⋅ a.length + 3 ⋅ (a.length + 1), O(a.length), degree = 1,{a.length + 1},call to HashMap ArrayListTest.init_with_put_linear(ArrayList),Loop at line 309,{a.length},call to HashMap ArrayListTest.init_with_put_linear(ArrayList),Loop at line 309]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.call_sortArrayList(java.util.ArrayList):void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 4 + list.length × log(list.length), O(list.length × log(list.length)), degree = 1 + 1⋅log,{list.length},call to void ArrayListTest.sortArrayList(ArrayList),Modeled call to Collections.sort,{list.length},call to void ArrayListTest.sortArrayList(ArrayList),Modeled call to Collections.sort] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.call_sortArrayList(java.util.ArrayList):void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 4 + list.length × log(list.length), O(list.length × log(list.length)), degree = 1 + 1⋅log,{list.length},call to void ArrayListTest.sortArrayList(ArrayList),Modeled call to Collections.sort,{list.length},call to void ArrayListTest.sortArrayList(ArrayList),Modeled call to Collections.sort]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.constructor_add_all(java.util.ArrayList,java.util.ArrayList):void, 4, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 10 + 5 ⋅ (l.length + list.length) + 3 ⋅ (l.length + list.length + 1), O((l.length + list.length)), degree = 1,{l.length + list.length + 1},Loop at line 240,{l.length + list.length},Loop at line 240] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.constructor_add_all(java.util.ArrayList,java.util.ArrayList):void, 4, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 10 + 5 ⋅ (l.length + list.length) + 3 ⋅ (l.length + list.length + 1), O((l.length + list.length)), degree = 1,{l.length + list.length + 1},Loop at line 250,{l.length + list.length},Loop at line 250]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.constructor_add_all_sym(java.util.ArrayList,java.util.ArrayList):void, 4, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 10 + 5 ⋅ (l.length + list.length) + 3 ⋅ (l.length + list.length + 1), O((l.length + list.length)), degree = 1,{l.length + list.length + 1},Loop at line 247,{l.length + list.length},Loop at line 247] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.constructor_add_all_sym(java.util.ArrayList,java.util.ArrayList):void, 4, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 10 + 5 ⋅ (l.length + list.length) + 3 ⋅ (l.length + list.length + 1), O((l.length + list.length)), degree = 1,{l.length + list.length + 1},Loop at line 257,{l.length + list.length},Loop at line 257]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.constructor_linear(java.util.ArrayList):void, 2, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 6 + 5 ⋅ list.length + 3 ⋅ (list.length + 1), O(list.length), degree = 1,{list.length + 1},Loop at line 222,{list.length},Loop at line 222] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.constructor_linear(java.util.ArrayList):void, 2, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 6 + 5 ⋅ list.length + 3 ⋅ (list.length + 1), O(list.length), degree = 1,{list.length + 1},Loop at line 232,{list.length},Loop at line 232]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.constructor_modify(java.util.ArrayList):void, 8, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 18 + 5 ⋅ (list.length + 4) + 3 ⋅ (list.length + 5), O(list.length), degree = 1,{list.length + 5},Loop at line 233,{list.length + 4},Loop at line 233] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.constructor_modify(java.util.ArrayList):void, 8, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 18 + 5 ⋅ (list.length + 4) + 3 ⋅ (list.length + 5), O(list.length), degree = 1,{list.length + 5},Loop at line 243,{list.length + 4},Loop at line 243]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.empty_list_constant(int):void, 3, CONDITION_ALWAYS_FALSE, no_bucket, WARNING, [Here] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.empty_list_constant(int):void, 3, CONDITION_ALWAYS_FALSE, no_bucket, WARNING, [Here]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.init_with_put_linear(java.util.ArrayList):java.util.HashMap, 2, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 7 + 13 ⋅ a.length + 3 ⋅ (a.length + 1), O(a.length), degree = 1,{a.length + 1},Loop at line 299,{a.length},Loop at line 299] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.init_with_put_linear(java.util.ArrayList):java.util.HashMap, 2, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 7 + 13 ⋅ a.length + 3 ⋅ (a.length + 1), O(a.length), degree = 1,{a.length + 1},Loop at line 309,{a.length},Loop at line 309]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.iterate_over_arraylist(java.util.ArrayList):void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 5 + 5 ⋅ list.length, O(list.length), degree = 1,{list.length},Loop at line 15] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.iterate_over_arraylist(java.util.ArrayList):void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 5 + 5 ⋅ list.length, O(list.length), degree = 1,{list.length},Loop at line 15]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.iterate_over_arraylist_shortcut_FP(java.util.ArrayList):boolean, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 4 + 11 ⋅ list.length + 2 ⋅ list.length × (11-max(10, list.elements)) + 3 ⋅ (list.length + 1) × (11-max(10, list.elements)), O(list.length × (-list.elements + 11)), degree = 2,{11-max(10, list.elements)},Loop at line 188,{list.length + 1},Loop at line 188,{11-max(10, list.elements)},Loop at line 188,{list.length},Loop at line 188] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.iterate_over_arraylist_shortcut_FP(java.util.ArrayList):boolean, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 4 + 11 ⋅ list.length + 2 ⋅ list.length × (11-max(10, list.elements)) + 3 ⋅ (list.length + 1) × (11-max(10, list.elements)), O(list.length × (-list.elements + 11)), degree = 2,{11-max(10, list.elements)},Loop at line 198,{list.length + 1},Loop at line 198,{11-max(10, list.elements)},Loop at line 198,{list.length},Loop at line 198]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.iterate_over_arraylist_with_inner(java.util.ArrayList):void, 3, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 7 + 11 ⋅ list1.length + 3 ⋅ (list1.length + 1), O(list1.length), degree = 1,{list1.length + 1},Loop at line 179,{list1.length},Loop at line 179] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.iterate_over_arraylist_with_inner(java.util.ArrayList):void, 3, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 7 + 11 ⋅ list1.length + 3 ⋅ (list1.length + 1), O(list1.length), degree = 1,{list1.length + 1},Loop at line 189,{list1.length},Loop at line 189]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.iterate_over_local_arraylist(java.util.ArrayList):void, 2, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 7 + 5 ⋅ list.length, O(list.length), degree = 1,{list.length},Loop at line 20] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.iterate_over_local_arraylist(java.util.ArrayList):void, 2, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 7 + 5 ⋅ list.length, O(list.length), degree = 1,{list.length},Loop at line 20]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.iterate_while_has_next(java.util.ArrayList):void, 3, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 4 + 10 ⋅ list.length + 3 ⋅ (list.length + 1), O(list.length), degree = 1,{list.length + 1},Loop at line 171,{list.length},Loop at line 171] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.iterate_while_has_next(java.util.ArrayList):void, 3, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 4 + 10 ⋅ list.length + 3 ⋅ (list.length + 1), O(list.length), degree = 1,{list.length + 1},Loop at line 181,{list.length},Loop at line 181]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.iterate_with_iterator(java.util.ArrayList):void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 4 + 8 ⋅ list.length + 3 ⋅ (list.length + 1), O(list.length), degree = 1,{list.length + 1},Loop at line 165,{list.length},Loop at line 165] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.iterate_with_iterator(java.util.ArrayList):void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 4 + 8 ⋅ list.length + 3 ⋅ (list.length + 1), O(list.length), degree = 1,{list.length + 1},Loop at line 175,{list.length},Loop at line 175]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.json_array_constructor_linear(java.util.ArrayList):void, 3, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 6 + 5 ⋅ arr.length + 3 ⋅ (arr.length + 1), O(arr.length), degree = 1,{arr.length + 1},Loop at line 267,{arr.length},Loop at line 267] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.json_array_constructor_linear(java.util.ArrayList):void, 3, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 6 + 5 ⋅ arr.length + 3 ⋅ (arr.length + 1), O(arr.length), degree = 1,{arr.length + 1},Loop at line 277,{arr.length},Loop at line 277]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.linear(int,java.util.ArrayList):void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 4 + 9 ⋅ (-i + a.length + 1), O((-i + a.length)), degree = 1,{-i + a.length + 1},Loop at line 274] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.linear(int,java.util.ArrayList):void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 4 + 9 ⋅ (-i + a.length + 1), O((-i + a.length)), degree = 1,{-i + a.length + 1},Loop at line 284]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.max_linear(java.util.ArrayList):Person, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 8 + people.length, O(people.length), degree = 1,{people.length},Modeled call to Collections.max] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.max_linear(java.util.ArrayList):Person, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 8 + people.length, O(people.length), degree = 1,{people.length},Modeled call to Collections.max]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.remove_string_from_list(java.lang.String):boolean, 2, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 5 + 12 ⋅ this.list.length + 3 ⋅ (this.list.length + 1), O(this.list.length), degree = 1,{this.list.length + 1},Loop at line 211,{this.list.length},Loop at line 211] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.remove_string_from_list(java.lang.String):boolean, 2, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 5 + 12 ⋅ this.list.length + 3 ⋅ (this.list.length + 1), O(this.list.length), degree = 1,{this.list.length + 1},Loop at line 221,{this.list.length},Loop at line 221]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.sortArrayList(java.util.ArrayList):void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 2 + list.length × log(list.length), O(list.length × log(list.length)), degree = 1 + 1⋅log,{list.length},Modeled call to Collections.sort,{list.length},Modeled call to Collections.sort] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.sortArrayList(java.util.ArrayList):void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 2 + list.length × log(list.length), O(list.length × log(list.length)), degree = 1 + 1⋅log,{list.length},Modeled call to Collections.sort,{list.length},Modeled call to Collections.sort]
codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.sort_comparator_nlogn(java.util.ArrayList):void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 8 + people.length × log(people.length), O(people.length × log(people.length)), degree = 1 + 1⋅log,{people.length},Modeled call to Collections.sort,{people.length},Modeled call to Collections.sort] codetoanalyze/java/performance/ArrayListTest.java, ArrayListTest.sort_comparator_nlogn(java.util.ArrayList):void, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 8 + people.length × log(people.length), O(people.length × log(people.length)), degree = 1 + 1⋅log,{people.length},Modeled call to Collections.sort,{people.length},Modeled call to Collections.sort]
codetoanalyze/java/performance/Break.java, codetoanalyze.java.performance.Break.break_constant(int):int, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 10 + 7 ⋅ p, O(p), degree = 1,{p},call to int Break.break_loop(int,int),Loop at line 12] codetoanalyze/java/performance/Break.java, codetoanalyze.java.performance.Break.break_constant(int):int, 1, EXPENSIVE_EXECUTION_TIME, no_bucket, ERROR, [with estimated cost 10 + 7 ⋅ p, O(p), degree = 1,{p},call to int Break.break_loop(int,int),Loop at line 12]

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