llvm/llvm/test/Transforms/LoopPredication/scale.ll

; NOTE: Assertions have been autogenerated by utils/update_test_checks.py UTC_ARGS: --version 3
; RUN: opt -S -loop-predication-skip-profitability-checks=false -passes='require<scalar-evolution>,loop-mssa(loop-predication)' -verify-memoryssa -loop-predication-latch-probability-scale=2 %s 2>&1 | FileCheck %s --check-prefixes=CHECK-PROF
; RUN: opt -S -loop-predication-skip-profitability-checks=false -passes='require<scalar-evolution>,loop-mssa(loop-predication)' -verify-memoryssa -loop-predication-latch-probability-scale=1.9 %s 2>&1 | FileCheck %s --check-prefixes=CHECK-NOTPROF

; LatchExitProbability: 0x20000000 / 0x80000000 = 25.00%
; ExitingBlockProbability: 0x40000000 / 0x80000000 = 50.00%
; Predicate is profitable when the scale factor is 2 and not profitable if it's less than 2.
define i64 @predicate_eq_ones(ptr nocapture readonly %arg, i32 %length, ptr nocapture readonly %arg2, ptr nocapture readonly %n_addr, i64 %i) !prof !21 {
; CHECK-PROF-LABEL: define i64 @predicate_eq_ones(
; CHECK-PROF-SAME: ptr nocapture readonly [[ARG:%.*]], i32 [[LENGTH:%.*]], ptr nocapture readonly [[ARG2:%.*]], ptr nocapture readonly [[N_ADDR:%.*]], i64 [[I:%.*]]) !prof [[PROF0:![0-9]+]] {
; CHECK-PROF-NEXT:  entry:
; CHECK-PROF-NEXT:    [[LENGTH_EXT:%.*]] = zext i32 [[LENGTH]] to i64
; CHECK-PROF-NEXT:    [[N_PRE:%.*]] = load i64, ptr [[N_ADDR]], align 4
; CHECK-PROF-NEXT:    [[TMP0:%.*]] = icmp ule i64 1048576, [[LENGTH_EXT]]
; CHECK-PROF-NEXT:    [[TMP1:%.*]] = icmp ult i64 0, [[LENGTH_EXT]]
; CHECK-PROF-NEXT:    [[TMP2:%.*]] = and i1 [[TMP1]], [[TMP0]]
; CHECK-PROF-NEXT:    [[TMP3:%.*]] = freeze i1 [[TMP2]]
; CHECK-PROF-NEXT:    br label [[HEADER:%.*]]
; CHECK-PROF:       Header:
; CHECK-PROF-NEXT:    [[RESULT_IN3:%.*]] = phi ptr [ [[ARG2]], [[ENTRY:%.*]] ], [ [[ARG]], [[LATCH:%.*]] ]
; CHECK-PROF-NEXT:    [[J2:%.*]] = phi i64 [ 0, [[ENTRY]] ], [ [[J_NEXT:%.*]], [[LATCH]] ]
; CHECK-PROF-NEXT:    [[WITHIN_BOUNDS:%.*]] = icmp ult i64 [[J2]], [[LENGTH_EXT]]
; CHECK-PROF-NEXT:    call void (i1, ...) @llvm.experimental.guard(i1 [[TMP3]], i32 9) [ "deopt"() ]
; CHECK-PROF-NEXT:    call void @llvm.assume(i1 [[WITHIN_BOUNDS]])
; CHECK-PROF-NEXT:    [[INNERCMP:%.*]] = icmp eq i64 [[J2]], [[N_PRE]]
; CHECK-PROF-NEXT:    [[J_NEXT]] = add nuw nsw i64 [[J2]], 1
; CHECK-PROF-NEXT:    br i1 [[INNERCMP]], label [[LATCH]], label [[EXIT:%.*]], !prof [[PROF1:![0-9]+]]
; CHECK-PROF:       Latch:
; CHECK-PROF-NEXT:    [[SPECULATE_TRIP_COUNT:%.*]] = icmp ult i64 [[J_NEXT]], 1048576
; CHECK-PROF-NEXT:    br i1 [[SPECULATE_TRIP_COUNT]], label [[HEADER]], label [[EXITLATCH:%.*]], !prof [[PROF2:![0-9]+]]
; CHECK-PROF:       exitLatch:
; CHECK-PROF-NEXT:    ret i64 1
; CHECK-PROF:       exit:
; CHECK-PROF-NEXT:    [[RESULT_IN3_LCSSA:%.*]] = phi ptr [ [[RESULT_IN3]], [[HEADER]] ]
; CHECK-PROF-NEXT:    [[RESULT_LE:%.*]] = load i64, ptr [[RESULT_IN3_LCSSA]], align 8
; CHECK-PROF-NEXT:    ret i64 [[RESULT_LE]]
;
; CHECK-NOTPROF-LABEL: define i64 @predicate_eq_ones(
; CHECK-NOTPROF-SAME: ptr nocapture readonly [[ARG:%.*]], i32 [[LENGTH:%.*]], ptr nocapture readonly [[ARG2:%.*]], ptr nocapture readonly [[N_ADDR:%.*]], i64 [[I:%.*]]) !prof [[PROF0:![0-9]+]] {
; CHECK-NOTPROF-NEXT:  entry:
; CHECK-NOTPROF-NEXT:    [[LENGTH_EXT:%.*]] = zext i32 [[LENGTH]] to i64
; CHECK-NOTPROF-NEXT:    [[N_PRE:%.*]] = load i64, ptr [[N_ADDR]], align 4
; CHECK-NOTPROF-NEXT:    br label [[HEADER:%.*]]
; CHECK-NOTPROF:       Header:
; CHECK-NOTPROF-NEXT:    [[RESULT_IN3:%.*]] = phi ptr [ [[ARG2]], [[ENTRY:%.*]] ], [ [[ARG]], [[LATCH:%.*]] ]
; CHECK-NOTPROF-NEXT:    [[J2:%.*]] = phi i64 [ 0, [[ENTRY]] ], [ [[J_NEXT:%.*]], [[LATCH]] ]
; CHECK-NOTPROF-NEXT:    [[WITHIN_BOUNDS:%.*]] = icmp ult i64 [[J2]], [[LENGTH_EXT]]
; CHECK-NOTPROF-NEXT:    call void (i1, ...) @llvm.experimental.guard(i1 [[WITHIN_BOUNDS]], i32 9) [ "deopt"() ]
; CHECK-NOTPROF-NEXT:    [[INNERCMP:%.*]] = icmp eq i64 [[J2]], [[N_PRE]]
; CHECK-NOTPROF-NEXT:    [[J_NEXT]] = add nuw nsw i64 [[J2]], 1
; CHECK-NOTPROF-NEXT:    br i1 [[INNERCMP]], label [[LATCH]], label [[EXIT:%.*]], !prof [[PROF1:![0-9]+]]
; CHECK-NOTPROF:       Latch:
; CHECK-NOTPROF-NEXT:    [[SPECULATE_TRIP_COUNT:%.*]] = icmp ult i64 [[J_NEXT]], 1048576
; CHECK-NOTPROF-NEXT:    br i1 [[SPECULATE_TRIP_COUNT]], label [[HEADER]], label [[EXITLATCH:%.*]], !prof [[PROF2:![0-9]+]]
; CHECK-NOTPROF:       exitLatch:
; CHECK-NOTPROF-NEXT:    ret i64 1
; CHECK-NOTPROF:       exit:
; CHECK-NOTPROF-NEXT:    [[RESULT_IN3_LCSSA:%.*]] = phi ptr [ [[RESULT_IN3]], [[HEADER]] ]
; CHECK-NOTPROF-NEXT:    [[RESULT_LE:%.*]] = load i64, ptr [[RESULT_IN3_LCSSA]], align 8
; CHECK-NOTPROF-NEXT:    ret i64 [[RESULT_LE]]
;
entry:
  %length.ext = zext i32 %length to i64
  %n.pre = load i64, ptr %n_addr, align 4
  br label %Header

Header:                                          ; preds = %entry, %Latch
  %result.in3 = phi ptr [ %arg2, %entry ], [ %arg, %Latch ]
  %j2 = phi i64 [ 0, %entry ], [ %j.next, %Latch ]
  %within.bounds = icmp ult i64 %j2, %length.ext
  call void (i1, ...) @llvm.experimental.guard(i1 %within.bounds, i32 9) [ "deopt"() ]
  %innercmp = icmp eq i64 %j2, %n.pre
  %j.next = add nuw nsw i64 %j2, 1
  br i1 %innercmp, label %Latch, label %exit, !prof !0

Latch:                                           ; preds = %Header
  %speculate_trip_count = icmp ult i64 %j.next, 1048576
  br i1 %speculate_trip_count, label %Header, label %exitLatch, !prof !2

exitLatch:                                            ; preds = %Latch
  ret i64 1

exit:                                             ; preds = %Header
  %result.in3.lcssa = phi ptr [ %result.in3, %Header ]
  %result.le = load i64, ptr %result.in3.lcssa, align 8
  ret i64 %result.le
}
!0 = !{!"branch_weights", i32 1, i32 1}

; Same as the previous one, but with zero weights (should be treated as if no profile - equal probability)
define i64 @predicate_eq_zeroes(ptr nocapture readonly %arg, i32 %length, ptr nocapture readonly %arg2, ptr nocapture readonly %n_addr, i64 %i) !prof !21 {
; CHECK-PROF-LABEL: define i64 @predicate_eq_zeroes(
; CHECK-PROF-SAME: ptr nocapture readonly [[ARG:%.*]], i32 [[LENGTH:%.*]], ptr nocapture readonly [[ARG2:%.*]], ptr nocapture readonly [[N_ADDR:%.*]], i64 [[I:%.*]]) !prof [[PROF0]] {
; CHECK-PROF-NEXT:  entry:
; CHECK-PROF-NEXT:    [[LENGTH_EXT:%.*]] = zext i32 [[LENGTH]] to i64
; CHECK-PROF-NEXT:    [[N_PRE:%.*]] = load i64, ptr [[N_ADDR]], align 4
; CHECK-PROF-NEXT:    [[TMP0:%.*]] = icmp ule i64 1048576, [[LENGTH_EXT]]
; CHECK-PROF-NEXT:    [[TMP1:%.*]] = icmp ult i64 0, [[LENGTH_EXT]]
; CHECK-PROF-NEXT:    [[TMP2:%.*]] = and i1 [[TMP1]], [[TMP0]]
; CHECK-PROF-NEXT:    [[TMP3:%.*]] = freeze i1 [[TMP2]]
; CHECK-PROF-NEXT:    br label [[HEADER:%.*]]
; CHECK-PROF:       Header:
; CHECK-PROF-NEXT:    [[RESULT_IN3:%.*]] = phi ptr [ [[ARG2]], [[ENTRY:%.*]] ], [ [[ARG]], [[LATCH:%.*]] ]
; CHECK-PROF-NEXT:    [[J2:%.*]] = phi i64 [ 0, [[ENTRY]] ], [ [[J_NEXT:%.*]], [[LATCH]] ]
; CHECK-PROF-NEXT:    [[WITHIN_BOUNDS:%.*]] = icmp ult i64 [[J2]], [[LENGTH_EXT]]
; CHECK-PROF-NEXT:    call void (i1, ...) @llvm.experimental.guard(i1 [[TMP3]], i32 9) [ "deopt"() ]
; CHECK-PROF-NEXT:    call void @llvm.assume(i1 [[WITHIN_BOUNDS]])
; CHECK-PROF-NEXT:    [[INNERCMP:%.*]] = icmp eq i64 [[J2]], [[N_PRE]]
; CHECK-PROF-NEXT:    [[J_NEXT]] = add nuw nsw i64 [[J2]], 1
; CHECK-PROF-NEXT:    br i1 [[INNERCMP]], label [[LATCH]], label [[EXIT:%.*]], !prof [[PROF3:![0-9]+]]
; CHECK-PROF:       Latch:
; CHECK-PROF-NEXT:    [[SPECULATE_TRIP_COUNT:%.*]] = icmp ult i64 [[J_NEXT]], 1048576
; CHECK-PROF-NEXT:    br i1 [[SPECULATE_TRIP_COUNT]], label [[HEADER]], label [[EXITLATCH:%.*]], !prof [[PROF2]]
; CHECK-PROF:       exitLatch:
; CHECK-PROF-NEXT:    ret i64 1
; CHECK-PROF:       exit:
; CHECK-PROF-NEXT:    [[RESULT_IN3_LCSSA:%.*]] = phi ptr [ [[RESULT_IN3]], [[HEADER]] ]
; CHECK-PROF-NEXT:    [[RESULT_LE:%.*]] = load i64, ptr [[RESULT_IN3_LCSSA]], align 8
; CHECK-PROF-NEXT:    ret i64 [[RESULT_LE]]
;
; CHECK-NOTPROF-LABEL: define i64 @predicate_eq_zeroes(
; CHECK-NOTPROF-SAME: ptr nocapture readonly [[ARG:%.*]], i32 [[LENGTH:%.*]], ptr nocapture readonly [[ARG2:%.*]], ptr nocapture readonly [[N_ADDR:%.*]], i64 [[I:%.*]]) !prof [[PROF0]] {
; CHECK-NOTPROF-NEXT:  entry:
; CHECK-NOTPROF-NEXT:    [[LENGTH_EXT:%.*]] = zext i32 [[LENGTH]] to i64
; CHECK-NOTPROF-NEXT:    [[N_PRE:%.*]] = load i64, ptr [[N_ADDR]], align 4
; CHECK-NOTPROF-NEXT:    br label [[HEADER:%.*]]
; CHECK-NOTPROF:       Header:
; CHECK-NOTPROF-NEXT:    [[RESULT_IN3:%.*]] = phi ptr [ [[ARG2]], [[ENTRY:%.*]] ], [ [[ARG]], [[LATCH:%.*]] ]
; CHECK-NOTPROF-NEXT:    [[J2:%.*]] = phi i64 [ 0, [[ENTRY]] ], [ [[J_NEXT:%.*]], [[LATCH]] ]
; CHECK-NOTPROF-NEXT:    [[WITHIN_BOUNDS:%.*]] = icmp ult i64 [[J2]], [[LENGTH_EXT]]
; CHECK-NOTPROF-NEXT:    call void (i1, ...) @llvm.experimental.guard(i1 [[WITHIN_BOUNDS]], i32 9) [ "deopt"() ]
; CHECK-NOTPROF-NEXT:    [[INNERCMP:%.*]] = icmp eq i64 [[J2]], [[N_PRE]]
; CHECK-NOTPROF-NEXT:    [[J_NEXT]] = add nuw nsw i64 [[J2]], 1
; CHECK-NOTPROF-NEXT:    br i1 [[INNERCMP]], label [[LATCH]], label [[EXIT:%.*]], !prof [[PROF3:![0-9]+]]
; CHECK-NOTPROF:       Latch:
; CHECK-NOTPROF-NEXT:    [[SPECULATE_TRIP_COUNT:%.*]] = icmp ult i64 [[J_NEXT]], 1048576
; CHECK-NOTPROF-NEXT:    br i1 [[SPECULATE_TRIP_COUNT]], label [[HEADER]], label [[EXITLATCH:%.*]], !prof [[PROF2]]
; CHECK-NOTPROF:       exitLatch:
; CHECK-NOTPROF-NEXT:    ret i64 1
; CHECK-NOTPROF:       exit:
; CHECK-NOTPROF-NEXT:    [[RESULT_IN3_LCSSA:%.*]] = phi ptr [ [[RESULT_IN3]], [[HEADER]] ]
; CHECK-NOTPROF-NEXT:    [[RESULT_LE:%.*]] = load i64, ptr [[RESULT_IN3_LCSSA]], align 8
; CHECK-NOTPROF-NEXT:    ret i64 [[RESULT_LE]]
;
entry:
  %length.ext = zext i32 %length to i64
  %n.pre = load i64, ptr %n_addr, align 4
  br label %Header

Header:                                          ; preds = %entry, %Latch
  %result.in3 = phi ptr [ %arg2, %entry ], [ %arg, %Latch ]
  %j2 = phi i64 [ 0, %entry ], [ %j.next, %Latch ]
  %within.bounds = icmp ult i64 %j2, %length.ext
  call void (i1, ...) @llvm.experimental.guard(i1 %within.bounds, i32 9) [ "deopt"() ]
  %innercmp = icmp eq i64 %j2, %n.pre
  %j.next = add nuw nsw i64 %j2, 1
  br i1 %innercmp, label %Latch, label %exit, !prof !1

Latch:                                           ; preds = %Header
  %speculate_trip_count = icmp ult i64 %j.next, 1048576
  br i1 %speculate_trip_count, label %Header, label %exitLatch, !prof !2

exitLatch:                                            ; preds = %Latch
  ret i64 1

exit:                                             ; preds = %Header
  %result.in3.lcssa = phi ptr [ %result.in3, %Header ]
  %result.le = load i64, ptr %result.in3.lcssa, align 8
  ret i64 %result.le
}
!1 = !{!"branch_weights", i32 0, i32 0}

; No profile on br in Header
define i64 @predicate_eq_none(ptr nocapture readonly %arg, i32 %length, ptr nocapture readonly %arg2, ptr nocapture readonly %n_addr, i64 %i) !prof !21 {
; CHECK-PROF-LABEL: define i64 @predicate_eq_none(
; CHECK-PROF-SAME: ptr nocapture readonly [[ARG:%.*]], i32 [[LENGTH:%.*]], ptr nocapture readonly [[ARG2:%.*]], ptr nocapture readonly [[N_ADDR:%.*]], i64 [[I:%.*]]) !prof [[PROF0]] {
; CHECK-PROF-NEXT:  entry:
; CHECK-PROF-NEXT:    [[LENGTH_EXT:%.*]] = zext i32 [[LENGTH]] to i64
; CHECK-PROF-NEXT:    [[N_PRE:%.*]] = load i64, ptr [[N_ADDR]], align 4
; CHECK-PROF-NEXT:    [[TMP0:%.*]] = icmp ule i64 1048576, [[LENGTH_EXT]]
; CHECK-PROF-NEXT:    [[TMP1:%.*]] = icmp ult i64 0, [[LENGTH_EXT]]
; CHECK-PROF-NEXT:    [[TMP2:%.*]] = and i1 [[TMP1]], [[TMP0]]
; CHECK-PROF-NEXT:    [[TMP3:%.*]] = freeze i1 [[TMP2]]
; CHECK-PROF-NEXT:    br label [[HEADER:%.*]]
; CHECK-PROF:       Header:
; CHECK-PROF-NEXT:    [[RESULT_IN3:%.*]] = phi ptr [ [[ARG2]], [[ENTRY:%.*]] ], [ [[ARG]], [[LATCH:%.*]] ]
; CHECK-PROF-NEXT:    [[J2:%.*]] = phi i64 [ 0, [[ENTRY]] ], [ [[J_NEXT:%.*]], [[LATCH]] ]
; CHECK-PROF-NEXT:    [[WITHIN_BOUNDS:%.*]] = icmp ult i64 [[J2]], [[LENGTH_EXT]]
; CHECK-PROF-NEXT:    call void (i1, ...) @llvm.experimental.guard(i1 [[TMP3]], i32 9) [ "deopt"() ]
; CHECK-PROF-NEXT:    call void @llvm.assume(i1 [[WITHIN_BOUNDS]])
; CHECK-PROF-NEXT:    [[INNERCMP:%.*]] = icmp eq i64 [[J2]], [[N_PRE]]
; CHECK-PROF-NEXT:    [[J_NEXT]] = add nuw nsw i64 [[J2]], 1
; CHECK-PROF-NEXT:    br i1 [[INNERCMP]], label [[LATCH]], label [[EXIT:%.*]]
; CHECK-PROF:       Latch:
; CHECK-PROF-NEXT:    [[SPECULATE_TRIP_COUNT:%.*]] = icmp ult i64 [[J_NEXT]], 1048576
; CHECK-PROF-NEXT:    br i1 [[SPECULATE_TRIP_COUNT]], label [[HEADER]], label [[EXITLATCH:%.*]], !prof [[PROF2]]
; CHECK-PROF:       exitLatch:
; CHECK-PROF-NEXT:    ret i64 1
; CHECK-PROF:       exit:
; CHECK-PROF-NEXT:    [[RESULT_IN3_LCSSA:%.*]] = phi ptr [ [[RESULT_IN3]], [[HEADER]] ]
; CHECK-PROF-NEXT:    [[RESULT_LE:%.*]] = load i64, ptr [[RESULT_IN3_LCSSA]], align 8
; CHECK-PROF-NEXT:    ret i64 [[RESULT_LE]]
;
; CHECK-NOTPROF-LABEL: define i64 @predicate_eq_none(
; CHECK-NOTPROF-SAME: ptr nocapture readonly [[ARG:%.*]], i32 [[LENGTH:%.*]], ptr nocapture readonly [[ARG2:%.*]], ptr nocapture readonly [[N_ADDR:%.*]], i64 [[I:%.*]]) !prof [[PROF0]] {
; CHECK-NOTPROF-NEXT:  entry:
; CHECK-NOTPROF-NEXT:    [[LENGTH_EXT:%.*]] = zext i32 [[LENGTH]] to i64
; CHECK-NOTPROF-NEXT:    [[N_PRE:%.*]] = load i64, ptr [[N_ADDR]], align 4
; CHECK-NOTPROF-NEXT:    br label [[HEADER:%.*]]
; CHECK-NOTPROF:       Header:
; CHECK-NOTPROF-NEXT:    [[RESULT_IN3:%.*]] = phi ptr [ [[ARG2]], [[ENTRY:%.*]] ], [ [[ARG]], [[LATCH:%.*]] ]
; CHECK-NOTPROF-NEXT:    [[J2:%.*]] = phi i64 [ 0, [[ENTRY]] ], [ [[J_NEXT:%.*]], [[LATCH]] ]
; CHECK-NOTPROF-NEXT:    [[WITHIN_BOUNDS:%.*]] = icmp ult i64 [[J2]], [[LENGTH_EXT]]
; CHECK-NOTPROF-NEXT:    call void (i1, ...) @llvm.experimental.guard(i1 [[WITHIN_BOUNDS]], i32 9) [ "deopt"() ]
; CHECK-NOTPROF-NEXT:    [[INNERCMP:%.*]] = icmp eq i64 [[J2]], [[N_PRE]]
; CHECK-NOTPROF-NEXT:    [[J_NEXT]] = add nuw nsw i64 [[J2]], 1
; CHECK-NOTPROF-NEXT:    br i1 [[INNERCMP]], label [[LATCH]], label [[EXIT:%.*]]
; CHECK-NOTPROF:       Latch:
; CHECK-NOTPROF-NEXT:    [[SPECULATE_TRIP_COUNT:%.*]] = icmp ult i64 [[J_NEXT]], 1048576
; CHECK-NOTPROF-NEXT:    br i1 [[SPECULATE_TRIP_COUNT]], label [[HEADER]], label [[EXITLATCH:%.*]], !prof [[PROF2]]
; CHECK-NOTPROF:       exitLatch:
; CHECK-NOTPROF-NEXT:    ret i64 1
; CHECK-NOTPROF:       exit:
; CHECK-NOTPROF-NEXT:    [[RESULT_IN3_LCSSA:%.*]] = phi ptr [ [[RESULT_IN3]], [[HEADER]] ]
; CHECK-NOTPROF-NEXT:    [[RESULT_LE:%.*]] = load i64, ptr [[RESULT_IN3_LCSSA]], align 8
; CHECK-NOTPROF-NEXT:    ret i64 [[RESULT_LE]]
;
entry:
  %length.ext = zext i32 %length to i64
  %n.pre = load i64, ptr %n_addr, align 4
  br label %Header

Header:                                          ; preds = %entry, %Latch
  %result.in3 = phi ptr [ %arg2, %entry ], [ %arg, %Latch ]
  %j2 = phi i64 [ 0, %entry ], [ %j.next, %Latch ]
  %within.bounds = icmp ult i64 %j2, %length.ext
  call void (i1, ...) @llvm.experimental.guard(i1 %within.bounds, i32 9) [ "deopt"() ]
  %innercmp = icmp eq i64 %j2, %n.pre
  %j.next = add nuw nsw i64 %j2, 1
  br i1 %innercmp, label %Latch, label %exit

Latch:                                           ; preds = %Header
  %speculate_trip_count = icmp ult i64 %j.next, 1048576
  br i1 %speculate_trip_count, label %Header, label %exitLatch, !prof !2

exitLatch:                                            ; preds = %Latch
  ret i64 1

exit:                                             ; preds = %Header
  %result.in3.lcssa = phi ptr [ %result.in3, %Header ]
  %result.le = load i64, ptr %result.in3.lcssa, align 8
  ret i64 %result.le
}

!2 = !{!"branch_weights", i32 3, i32 1}
!21 = !{!"function_entry_count", i64 20000}

declare i64 @llvm.experimental.deoptimize.i64(...)
declare void @llvm.experimental.guard(i1, ...)