; RUN: opt < %s -analyze -block-freq | FileCheck %s
; A loop with multiple exits isn't irreducible. It should be handled
; correctly.
;
; CHECK-LABEL: Printing analysis {{.*}} for function 'multiexit':
; CHECK-NEXT: block-frequency-info: multiexit
define void @multiexit(i1 %x) {
; CHECK-NEXT: entry: float = 1.0, int = [[ENTRY:[0-9]+]]
entry:
br label %loop.1
; CHECK-NEXT: loop.1: float = 2.0,
loop.1:
br i1 %x, label %exit.1, label %loop.2, !prof !0
; CHECK-NEXT: loop.2: float = 1.75,
loop.2:
br i1 %x, label %exit.2, label %loop.1, !prof !1
; CHECK-NEXT: exit.1: float = 0.25,
exit.1:
br label %return
; CHECK-NEXT: exit.2: float = 0.75,
exit.2:
br label %return
; CHECK-NEXT: return: float = 1.0, int = [[ENTRY]]
return:
ret void
}
!0 = metadata !{metadata !"branch_weights", i32 1, i32 7}
!1 = metadata !{metadata !"branch_weights", i32 3, i32 4}
; Irreducible control flow
; ========================
;
; LoopInfo defines a loop as a non-trivial SCC dominated by a single block,
; called the header. A given loop, L, can have sub-loops, which are loops
; within the subgraph of L that excludes the header.
;
; In addition to loops, -block-freq has limited support for irreducible SCCs,
; which are SCCs with multiple entry blocks. Irreducible SCCs are discovered
; on they fly, and modelled as loops with multiple headers.
;
; The headers of irreducible sub-SCCs consist of its entry blocks and all nodes
; that are targets of a backedge within it (excluding backedges within true
; sub-loops).
;
; -block-freq is currently designed to act like a block is inserted that
; intercepts all the edges to the headers. All backedges and entries point to
; this block. Its successors are the headers, which split the frequency
; evenly.
;
; There are a number of testcases below. Only the first two have detailed
; explanations.
;
; Testcase #1
; ===========
;
; In this case c1 and c2 should have frequencies of 15/7 and 13/7,
; respectively. To calculate this, consider assigning 1.0 to entry, and
; distributing frequency iteratively (to infinity). At the first iteration,
; entry gives 3/4 to c1 and 1/4 to c2. At every step after, c1 and c2 give 3/4
; of what they have to each other. Somehow, all of it comes out to exit.
;
; c1 = 3/4 + 1/4*3/4 + 3/4*3^2/4^2 + 1/4*3^3/4^3 + 3/4*3^3/4^3 + ...
; c2 = 1/4 + 3/4*3/4 + 1/4*3^2/4^2 + 3/4*3^3/4^3 + 1/4*3^3/4^3 + ...
;
; Simplify by splitting up the odd and even terms of the series and taking out
; factors so that the infite series matches:
;
; c1 = 3/4 *(9^0/16^0 + 9^1/16^1 + 9^2/16^2 + ...)
; + 3/16*(9^0/16^0 + 9^1/16^1 + 9^2/16^2 + ...)
; c2 = 1/4 *(9^0/16^0 + 9^1/16^1 + 9^2/16^2 + ...)
; + 9/16*(9^0/16^0 + 9^1/16^1 + 9^2/16^2 + ...)
;
; c1 = 15/16*(9^0/16^0 + 9^1/16^1 + 9^2/16^2 + ...)
; c2 = 13/16*(9^0/16^0 + 9^1/16^1 + 9^2/16^2 + ...)
;
; Since this geometric series sums to 16/7:
;
; c1 = 15/7
; c2 = 13/7
;
; If we treat c1 and c2 as members of the same loop, the exit frequency of the
; loop as a whole is 1/4, so the loop scale should be 4. Summing c1 and c2
; gives 28/7, or 4.0, which is nice confirmation of the math above.
;
; -block-freq currently treats the two nodes as equals.
define void @multientry(i1 %x) {
; CHECK-LABEL: Printing analysis {{.*}} for function 'multientry':
; CHECK-NEXT: block-frequency-info: multientry
entry:
; CHECK-NEXT: entry: float = 1.0, int = [[ENTRY:[0-9]+]]
br i1 %x, label %c1, label %c2, !prof !2
c1:
; CHECK-NEXT: c1: float = 2.0,
; The "correct" answer is: float = 2.142857{{[0-9]*}},
br i1 %x, label %c2, label %exit, !prof !2
c2:
; CHECK-NEXT: c2: float = 2.0,
; The "correct" answer is: float = 1.857142{{[0-9]*}},
br i1 %x, label %c1, label %exit, !prof !2
exit:
; CHECK-NEXT: exit: float = 1.0, int = [[ENTRY]]
ret void
}
!2 = metadata !{metadata !"branch_weights", i32 3, i32 1}
; Testcase #2
; ===========
;
; In this case c1 and c2 should be treated as equals in a single loop. The
; exit frequency is 1/3, so the scaling factor for the loop should be 3.0. The
; loop is entered 2/3 of the time, and c1 and c2 split the total loop frequency
; evenly (1/2), so they should each have frequencies of 1.0 (3.0*2/3*1/2).
; Another way of computing this result is by assigning 1.0 to entry and showing
; that c1 and c2 should accumulate frequencies of:
;
; 1/3 + 2/9 + 4/27 + 8/81 + ...
; 2^0/3^1 + 2^1/3^2 + 2^2/3^3 + 2^3/3^4 + ...
;
; At the first step, c1 and c2 each get 1/3 of the entry. At each subsequent
; step, c1 and c2 each get 1/3 of what's left in c1 and c2 combined. This
; infinite series sums to 1.
;
; Since the currently algorithm *always* assumes entry blocks are equal,
; -block-freq gets the right answers here.
define void @crossloops(i2 %x) {
; CHECK-LABEL: Printing analysis {{.*}} for function 'crossloops':
; CHECK-NEXT: block-frequency-info: crossloops
entry:
; CHECK-NEXT: entry: float = 1.0, int = [[ENTRY:[0-9]+]]
switch i2 %x, label %exit [ i2 1, label %c1
i2 2, label %c2 ], !prof !3
c1:
; CHECK-NEXT: c1: float = 1.0,
switch i2 %x, label %exit [ i2 1, label %c1
i2 2, label %c2 ], !prof !3
c2:
; CHECK-NEXT: c2: float = 1.0,
switch i2 %x, label %exit [ i2 1, label %c1
i2 2, label %c2 ], !prof !3
exit:
; CHECK-NEXT: exit: float = 1.0, int = [[ENTRY]]
ret void
}
!3 = metadata !{metadata !"branch_weights", i32 2, i32 2, i32 2}
; A true loop with irreducible control flow inside.
define void @loop_around_irreducible(i1 %x) {
; CHECK-LABEL: Printing analysis {{.*}} for function 'loop_around_irreducible':
; CHECK-NEXT: block-frequency-info: loop_around_irreducible
entry:
; CHECK-NEXT: entry: float = 1.0, int = [[ENTRY:[0-9]+]]
br label %loop
loop:
; CHECK-NEXT: loop: float = 4.0, int = [[HEAD:[0-9]+]]
br i1 %x, label %left, label %right, !prof !4
left:
; CHECK-NEXT: left: float = 8.0,
br i1 %x, label %right, label %loop.end, !prof !5
right:
; CHECK-NEXT: right: float = 8.0,
br i1 %x, label %left, label %loop.end, !prof !5
loop.end:
; CHECK-NEXT: loop.end: float = 4.0, int = [[HEAD]]
br i1 %x, label %loop, label %exit, !prof !5
exit:
; CHECK-NEXT: exit: float = 1.0, int = [[ENTRY]]
ret void
}
!4 = metadata !{metadata !"branch_weights", i32 1, i32 1}
!5 = metadata !{metadata !"branch_weights", i32 3, i32 1}
; Two unrelated irreducible SCCs.
define void @two_sccs(i1 %x) {
; CHECK-LABEL: Printing analysis {{.*}} for function 'two_sccs':
; CHECK-NEXT: block-frequency-info: two_sccs
entry:
; CHECK-NEXT: entry: float = 1.0, int = [[ENTRY:[0-9]+]]
br i1 %x, label %a, label %b, !prof !6
a:
; CHECK-NEXT: a: float = 0.75,
br i1 %x, label %a.left, label %a.right, !prof !7
a.left:
; CHECK-NEXT: a.left: float = 1.5,
br i1 %x, label %a.right, label %exit, !prof !6
a.right:
; CHECK-NEXT: a.right: float = 1.5,
br i1 %x, label %a.left, label %exit, !prof !6
b:
; CHECK-NEXT: b: float = 0.25,
br i1 %x, label %b.left, label %b.right, !prof !7
b.left:
; CHECK-NEXT: b.left: float = 0.625,
br i1 %x, label %b.right, label %exit, !prof !8
b.right:
; CHECK-NEXT: b.right: float = 0.625,
br i1 %x, label %b.left, label %exit, !prof !8
exit:
; CHECK-NEXT: exit: float = 1.0, int = [[ENTRY]]
ret void
}
!6 = metadata !{metadata !"branch_weights", i32 3, i32 1}
!7 = metadata !{metadata !"branch_weights", i32 1, i32 1}
!8 = metadata !{metadata !"branch_weights", i32 4, i32 1}
; A true loop inside irreducible control flow.
define void @loop_inside_irreducible(i1 %x) {
; CHECK-LABEL: Printing analysis {{.*}} for function 'loop_inside_irreducible':
; CHECK-NEXT: block-frequency-info: loop_inside_irreducible
entry:
; CHECK-NEXT: entry: float = 1.0, int = [[ENTRY:[0-9]+]]
br i1 %x, label %left, label %right, !prof !9
left:
; CHECK-NEXT: left: float = 2.0,
br i1 %x, label %right, label %exit, !prof !10
right:
; CHECK-NEXT: right: float = 2.0, int = [[RIGHT:[0-9]+]]
br label %loop
loop:
; CHECK-NEXT: loop: float = 6.0,
br i1 %x, label %loop, label %right.end, !prof !11
right.end:
; CHECK-NEXT: right.end: float = 2.0, int = [[RIGHT]]
br i1 %x, label %left, label %exit, !prof !10
exit:
; CHECK-NEXT: exit: float = 1.0, int = [[ENTRY]]
ret void
}
!9 = metadata !{metadata !"branch_weights", i32 1, i32 1}
!10 = metadata !{metadata !"branch_weights", i32 3, i32 1}
!11 = metadata !{metadata !"branch_weights", i32 2, i32 1}
; Irreducible control flow in a branch that's in a true loop.
define void @loop_around_branch_with_irreducible(i1 %x) {
; CHECK-LABEL: Printing analysis {{.*}} for function 'loop_around_branch_with_irreducible':
; CHECK-NEXT: block-frequency-info: loop_around_branch_with_irreducible
entry:
; CHECK-NEXT: entry: float = 1.0, int = [[ENTRY:[0-9]+]]
br label %loop
loop:
; CHECK-NEXT: loop: float = 2.0, int = [[LOOP:[0-9]+]]
br i1 %x, label %normal, label %irreducible.entry, !prof !12
normal:
; CHECK-NEXT: normal: float = 1.5,
br label %loop.end
irreducible.entry:
; CHECK-NEXT: irreducible.entry: float = 0.5, int = [[IRREDUCIBLE:[0-9]+]]
br i1 %x, label %left, label %right, !prof !13
left:
; CHECK-NEXT: left: float = 1.0,
br i1 %x, label %right, label %irreducible.exit, !prof !12
right:
; CHECK-NEXT: right: float = 1.0,
br i1 %x, label %left, label %irreducible.exit, !prof !12
irreducible.exit:
; CHECK-NEXT: irreducible.exit: float = 0.5, int = [[IRREDUCIBLE]]
br label %loop.end
loop.end:
; CHECK-NEXT: loop.end: float = 2.0, int = [[LOOP]]
br i1 %x, label %loop, label %exit, !prof !13
exit:
; CHECK-NEXT: exit: float = 1.0, int = [[ENTRY]]
ret void
}
!12 = metadata !{metadata !"branch_weights", i32 3, i32 1}
!13 = metadata !{metadata !"branch_weights", i32 1, i32 1}
; Irreducible control flow between two true loops.
define void @loop_around_branch_with_irreducible_around_loop(i1 %x) {
; CHECK-LABEL: Printing analysis {{.*}} for function 'loop_around_branch_with_irreducible_around_loop':
; CHECK-NEXT: block-frequency-info: loop_around_branch_with_irreducible_around_loop
entry:
; CHECK-NEXT: entry: float = 1.0, int = [[ENTRY:[0-9]+]]
br label %loop
loop:
; CHECK-NEXT: loop: float = 3.0, int = [[LOOP:[0-9]+]]
br i1 %x, label %normal, label %irreducible, !prof !14
normal:
; CHECK-NEXT: normal: float = 2.0,
br label %loop.end
irreducible:
; CHECK-NEXT: irreducible: float = 1.0,
br i1 %x, label %left, label %right, !prof !15
left:
; CHECK-NEXT: left: float = 2.0,
br i1 %x, label %right, label %loop.end, !prof !16
right:
; CHECK-NEXT: right: float = 2.0, int = [[RIGHT:[0-9]+]]
br label %right.loop
right.loop:
; CHECK-NEXT: right.loop: float = 10.0,
br i1 %x, label %right.loop, label %right.end, !prof !17
right.end:
; CHECK-NEXT: right.end: float = 2.0, int = [[RIGHT]]
br i1 %x, label %left, label %loop.end, !prof !16
loop.end:
; CHECK-NEXT: loop.end: float = 3.0, int = [[LOOP]]
br i1 %x, label %loop, label %exit, !prof !14
exit:
; CHECK-NEXT: exit: float = 1.0, int = [[ENTRY]]
ret void
}
!14 = metadata !{metadata !"branch_weights", i32 2, i32 1}
!15 = metadata !{metadata !"branch_weights", i32 1, i32 1}
!16 = metadata !{metadata !"branch_weights", i32 3, i32 1}
!17 = metadata !{metadata !"branch_weights", i32 4, i32 1}
; An irreducible SCC with a non-header.
define void @nonheader(i1 %x) {
; CHECK-LABEL: Printing analysis {{.*}} for function 'nonheader':
; CHECK-NEXT: block-frequency-info: nonheader
entry:
; CHECK-NEXT: entry: float = 1.0, int = [[ENTRY:[0-9]+]]
br i1 %x, label %left, label %right, !prof !18
left:
; CHECK-NEXT: left: float = 1.0,
br i1 %x, label %bottom, label %exit, !prof !19
right:
; CHECK-NEXT: right: float = 1.0,
br i1 %x, label %bottom, label %exit, !prof !20
bottom:
; CHECK-NEXT: bottom: float = 1.0,
br i1 %x, label %left, label %right, !prof !18
exit:
; CHECK-NEXT: exit: float = 1.0, int = [[ENTRY]]
ret void
}
!18 = metadata !{metadata !"branch_weights", i32 1, i32 1}
!19 = metadata !{metadata !"branch_weights", i32 1, i32 3}
!20 = metadata !{metadata !"branch_weights", i32 3, i32 1}
; An irreducible SCC with an irreducible sub-SCC. In the current version of
; -block-freq, this means an extra header.
;
; This testcases uses non-trivial branch weights. The CHECK statements here
; will start to fail if we change -block-freq to be more accurate. Currently,
; we expect left, right and top to be treated as equal headers.
define void @nonentry_header(i1 %x, i2 %y) {
; CHECK-LABEL: Printing analysis {{.*}} for function 'nonentry_header':
; CHECK-NEXT: block-frequency-info: nonentry_header
entry:
; CHECK-NEXT: entry: float = 1.0, int = [[ENTRY:[0-9]+]]
br i1 %x, label %left, label %right, !prof !21
left:
; CHECK-NEXT: left: float = 3.0,
br i1 %x, label %top, label %bottom, !prof !22
right:
; CHECK-NEXT: right: float = 3.0,
br i1 %x, label %top, label %bottom, !prof !22
top:
; CHECK-NEXT: top: float = 3.0,
switch i2 %y, label %exit [ i2 0, label %left
i2 1, label %right
i2 2, label %bottom ], !prof !23
bottom:
; CHECK-NEXT: bottom: float = 4.5,
br label %top
exit:
; CHECK-NEXT: exit: float = 1.0, int = [[ENTRY]]
ret void
}
!21 = metadata !{metadata !"branch_weights", i32 2, i32 1}
!22 = metadata !{metadata !"branch_weights", i32 1, i32 1}
!23 = metadata !{metadata !"branch_weights", i32 8, i32 1, i32 3, i32 12}