Use fixed-point representation for BranchProbability.

BranchProbability now is represented by its numerator and denominator in uint32_t type. This patch changes this representation into a fixed point that is represented by the numerator in uint32_t type and a constant denominator 1<<31. This is quite similar to the representation of BlockMass in BlockFrequencyInfoImpl.h. There are several pros and cons of this change:

Pros:

1. It uses only a half space of the current one.
2. Some operations are much faster like plus, subtraction, comparison, and scaling by an integer.

Cons:

1. Constructing a probability using arbitrary numerator and denominator needs additional calculations.
2. It is a little less precise than before as we use a fixed denominator. For example, 1 - 1/3 may not be exactly identical to 1 / 3 (this will lead to many BranchProbability unit test failures). This should not matter when we only use it for branch probability. If we use it like a rational value for some precise calculations we may need another construct like ValueRatio.

One important reason for this change is that we propose to store branch probabilities instead of edge weights in MachineBasicBlock. We also want clients to use probability instead of weight when adding successors to a MBB. The current BranchProbability has more space which may be a concern.

Differential revision: http://reviews.llvm.org/D12603

llvm-svn: 248633

7 files changed, 131 insertions, 131 deletions

diff --git a/llvm/test/Analysis/BlockFrequencyInfo/basic.ll b/llvm/test/Analysis/BlockFrequencyInfo/basic.ll
index 728adf007f4..8e81cc2ea31 100644
--- a/llvm/test/Analysis/BlockFrequencyInfo/basic.ll
+++ b/llvm/test/Analysis/BlockFrequencyInfo/basic.ll
@@ -104,13 +104,13 @@ for.cond1.preheader:
   %x.024 = phi i32 [ 0, %entry ], [ %inc12, %for.inc11 ]
   br label %for.cond4.preheader
 
-; CHECK-NEXT: for.cond4.preheader: float = 16008001.0,
+; CHECK-NEXT: for.cond4.preheader: float = 16007984.8,
 for.cond4.preheader:
   %y.023 = phi i32 [ 0, %for.cond1.preheader ], [ %inc9, %for.inc8 ]
   %add = add i32 %y.023, %x.024
   br label %for.body6
 
-; CHECK-NEXT: for.body6: float = 64048012001.0,
+; CHECK-NEXT: for.body6: float = 64047914563.9,
 for.body6:
   %z.022 = phi i32 [ 0, %for.cond4.preheader ], [ %inc, %for.body6 ]
   %add7 = add i32 %add, %z.022
@@ -119,7 +119,7 @@ for.body6:
   %cmp5 = icmp ugt i32 %inc, %a
   br i1 %cmp5, label %for.inc8, label %for.body6, !prof !2
 
-; CHECK-NEXT: for.inc8: float = 16008001.0,
+; CHECK-NEXT: for.inc8: float = 16007984.8,
 for.inc8:
   %inc9 = add i32 %y.023, 1
   %cmp2 = icmp ugt i32 %inc9, %a
diff --git a/llvm/test/Analysis/BlockFrequencyInfo/loops_with_profile_info.ll b/llvm/test/Analysis/BlockFrequencyInfo/loops_with_profile_info.ll
index 534c4ad0e94..29a9f3b29fb 100644
--- a/llvm/test/Analysis/BlockFrequencyInfo/loops_with_profile_info.ll
+++ b/llvm/test/Analysis/BlockFrequencyInfo/loops_with_profile_info.ll
@@ -93,7 +93,7 @@ for.cond4:                                        ; preds = %for.inc, %for.body3
   %cmp5 = icmp slt i32 %2, 100
   br i1 %cmp5, label %for.body6, label %for.end, !prof !3
 
-; CHECK: - for.body6: float = 500000.5, int = 4000003
+; CHECK: - for.body6: float = 500000.5, int = 4000004
 for.body6:                                        ; preds = %for.cond4
   call void @bar()
   br label %for.inc
@@ -143,7 +143,7 @@ for.cond16:                                       ; preds = %for.inc19, %for.bod
   %cmp17 = icmp slt i32 %8, 10000
   br i1 %cmp17, label %for.body18, label %for.end21, !prof !4
 
-; CHECK: - for.body18: float = 500000.5, int = 4000003
+; CHECK: - for.body18: float = 499999.9, int = 3999998
 for.body18:                                       ; preds = %for.cond16
   call void @bar()
   br label %for.inc19
@@ -175,7 +175,7 @@ for.cond26:                                       ; preds = %for.inc29, %for.end
   %cmp27 = icmp slt i32 %12, 1000000
   br i1 %cmp27, label %for.body28, label %for.end31, !prof !5
 
-; CHECK: - for.body28: float = 500000.5, int = 4000003
+; CHECK: - for.body28: float = 499995.2, int = 3999961
 for.body28:                                       ; preds = %for.cond26
   call void @bar()
   br label %for.inc29
diff --git a/llvm/test/Analysis/BranchProbabilityInfo/basic.ll b/llvm/test/Analysis/BranchProbabilityInfo/basic.ll
index 2c9c1561868..d833b8339aa 100644
--- a/llvm/test/Analysis/BranchProbabilityInfo/basic.ll
+++ b/llvm/test/Analysis/BranchProbabilityInfo/basic.ll
@@ -4,7 +4,7 @@ define i32 @test1(i32 %i, i32* %a) {
 ; CHECK: Printing analysis {{.*}} for function 'test1'
 entry:
   br label %body
-; CHECK: edge entry -> body probability is 16 / 16 = 100%
+; CHECK: edge entry -> body probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 body:
   %iv = phi i32 [ 0, %entry ], [ %next, %body ]
@@ -15,8 +15,8 @@ body:
   %next = add i32 %iv, 1
   %exitcond = icmp eq i32 %next, %i
   br i1 %exitcond, label %exit, label %body
-; CHECK: edge body -> exit probability is 4 / 128
-; CHECK: edge body -> body probability is 124 / 128
+; CHECK: edge body -> exit probability is 0x04000000 / 0x80000000 = 3.12%
+; CHECK: edge body -> body probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
 
 exit:
   ret i32 %sum
@@ -27,16 +27,16 @@ define i32 @test2(i32 %i, i32 %a, i32 %b) {
 entry:
   %cond = icmp ult i32 %i, 42
   br i1 %cond, label %then, label %else, !prof !0
-; CHECK: edge entry -> then probability is 64 / 68
-; CHECK: edge entry -> else probability is 4 / 68
+; CHECK: edge entry -> then probability is 0x78787878 / 0x80000000 = 94.12% [HOT edge]
+; CHECK: edge entry -> else probability is 0x07878788 / 0x80000000 = 5.88%
 
 then:
   br label %exit
-; CHECK: edge then -> exit probability is 16 / 16 = 100%
+; CHECK: edge then -> exit probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 else:
   br label %exit
-; CHECK: edge else -> exit probability is 16 / 16 = 100%
+; CHECK: edge else -> exit probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 exit:
   %result = phi i32 [ %a, %then ], [ %b, %else ]
@@ -52,31 +52,31 @@ entry:
                                  i32 2, label %case_c
                                  i32 3, label %case_d
                                  i32 4, label %case_e ], !prof !1
-; CHECK: edge entry -> case_a probability is 4 / 80
-; CHECK: edge entry -> case_b probability is 4 / 80
-; CHECK: edge entry -> case_c probability is 64 / 80
-; CHECK: edge entry -> case_d probability is 4 / 80
-; CHECK: edge entry -> case_e probability is 4 / 80
+; CHECK: edge entry -> case_a probability is 0x06666666 / 0x80000000 = 5.00%
+; CHECK: edge entry -> case_b probability is 0x06666666 / 0x80000000 = 5.00%
+; CHECK: edge entry -> case_c probability is 0x66666666 / 0x80000000 = 80.00%
+; CHECK: edge entry -> case_d probability is 0x06666666 / 0x80000000 = 5.00%
+; CHECK: edge entry -> case_e probability is 0x06666666 / 0x80000000 = 5.00%
 
 case_a:
   br label %exit
-; CHECK: edge case_a -> exit probability is 16 / 16 = 100%
+; CHECK: edge case_a -> exit probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 case_b:
   br label %exit
-; CHECK: edge case_b -> exit probability is 16 / 16 = 100%
+; CHECK: edge case_b -> exit probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 case_c:
   br label %exit
-; CHECK: edge case_c -> exit probability is 16 / 16 = 100%
+; CHECK: edge case_c -> exit probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 case_d:
   br label %exit
-; CHECK: edge case_d -> exit probability is 16 / 16 = 100%
+; CHECK: edge case_d -> exit probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 case_e:
   br label %exit
-; CHECK: edge case_e -> exit probability is 16 / 16 = 100%
+; CHECK: edge case_e -> exit probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 exit:
   %result = phi i32 [ %a, %case_a ],
@@ -99,9 +99,9 @@ entry:
     i64 2, label %sw.bb
     i64 5, label %sw.bb1
   ], !prof !2
-; CHECK: edge entry -> return probability is 7 / 85
-; CHECK: edge entry -> sw.bb probability is 14 / 85
-; CHECK: edge entry -> sw.bb1 probability is 64 / 85
+; CHECK: edge entry -> return probability is 0x0a8a8a8b / 0x80000000 = 8.24%
+; CHECK: edge entry -> sw.bb probability is 0x15151515 / 0x80000000 = 16.47%
+; CHECK: edge entry -> sw.bb1 probability is 0x60606060 / 0x80000000 = 75.29%
 
 sw.bb:
   br label %return
@@ -122,17 +122,17 @@ define i32 @test5(i32 %a, i32 %b, i1 %flag) {
 ; CHECK: Printing analysis {{.*}} for function 'test5'
 entry:
   br i1 %flag, label %then, label %else
-; CHECK: edge entry -> then probability is 4 / 68
-; CHECK: edge entry -> else probability is 64 / 68
+; CHECK: edge entry -> then probability is 0x07878788 / 0x80000000 = 5.88%
+; CHECK: edge entry -> else probability is 0x78787878 / 0x80000000 = 94.12% [HOT edge]
 
 then:
   call void @coldfunc()
   br label %exit
-; CHECK: edge then -> exit probability is 16 / 16 = 100%
+; CHECK: edge then -> exit probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 else:
   br label %exit
-; CHECK: edge else -> exit probability is 16 / 16 = 100%
+; CHECK: edge else -> exit probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 exit:
   %result = phi i32 [ %a, %then ], [ %b, %else ]
@@ -149,8 +149,8 @@ define i32 @test_cold_call_sites(i32* %a) {
 ; after that is fixed.
 
 ; CHECK: Printing analysis {{.*}} for function 'test_cold_call_sites'
-; CHECK: edge entry -> then probability is 4 / 68 = 5.88235%
-; CHECK: edge entry -> else probability is 64 / 68 = 94.1176% [HOT edge]
+; CHECK: edge entry -> then probability is 0x07878788 / 0x80000000 = 5.88%
+; CHECK: edge entry -> else probability is 0x78787878 / 0x80000000 = 94.12% [HOT edge]
 
 entry:
   %gep1 = getelementptr i32, i32* %a, i32 1
@@ -179,8 +179,8 @@ define i32 @zero1(i32 %i, i32 %a, i32 %b) {
 entry:
   %cond = icmp eq i32 %i, 0
   br i1 %cond, label %then, label %else
-; CHECK: edge entry -> then probability is 12 / 32
-; CHECK: edge entry -> else probability is 20 / 32
+; CHECK: edge entry -> then probability is 0x30000000 / 0x80000000 = 37.50%
+; CHECK: edge entry -> else probability is 0x50000000 / 0x80000000 = 62.50%
 
 then:
   br label %exit
@@ -198,8 +198,8 @@ define i32 @zero2(i32 %i, i32 %a, i32 %b) {
 entry:
   %cond = icmp ne i32 %i, -1
   br i1 %cond, label %then, label %else
-; CHECK: edge entry -> then probability is 20 / 32
-; CHECK: edge entry -> else probability is 12 / 32
+; CHECK: edge entry -> then probability is 0x50000000 / 0x80000000 = 62.50%
+; CHECK: edge entry -> else probability is 0x30000000 / 0x80000000 = 37.50%
 
 then:
   br label %exit
@@ -220,8 +220,8 @@ entry:
   %and = and i32 %i, 2
   %tobool = icmp eq i32 %and, 0
   br i1 %tobool, label %then, label %else
-; CHECK: edge entry -> then probability is 16 / 32
-; CHECK: edge entry -> else probability is 16 / 32
+; CHECK: edge entry -> then probability is 0x40000000 / 0x80000000 = 50.00%
+; CHECK: edge entry -> else probability is 0x40000000 / 0x80000000 = 50.00%
 
 then:
 ; AND'ing with other bitmask might be something else, so we still assume the
@@ -229,8 +229,8 @@ then:
   %and2 = and i32 %i, 5
   %tobool2 = icmp eq i32 %and2, 0
   br i1 %tobool2, label %else, label %exit
-; CHECK: edge then -> else probability is 12 / 32
-; CHECK: edge then -> exit probability is 20 / 32
+; CHECK: edge then -> else probability is 0x30000000 / 0x80000000 = 37.50%
+; CHECK: edge then -> exit probability is 0x50000000 / 0x80000000 = 62.50%
 
 else:
   br label %exit
diff --git a/llvm/test/Analysis/BranchProbabilityInfo/loop.ll b/llvm/test/Analysis/BranchProbabilityInfo/loop.ll
index e792790f84f..5be7adf3909 100644
--- a/llvm/test/Analysis/BranchProbabilityInfo/loop.ll
+++ b/llvm/test/Analysis/BranchProbabilityInfo/loop.ll
@@ -9,13 +9,13 @@ declare void @g4()
 define void @test1(i32 %a, i32 %b) {
 entry:
   br label %do.body
-; CHECK: edge entry -> do.body probability is 16 / 16 = 100%
+; CHECK: edge entry -> do.body probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 do.body:
   %i.0 = phi i32 [ 0, %entry ], [ %inc3, %do.end ]
   call void @g1()
   br label %do.body1
-; CHECK: edge do.body -> do.body1 probability is 16 / 16 = 100%
+; CHECK: edge do.body -> do.body1 probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 do.body1:
   %j.0 = phi i32 [ 0, %do.body ], [ %inc, %do.body1 ]
@@ -23,16 +23,16 @@ do.body1:
   %inc = add nsw i32 %j.0, 1
   %cmp = icmp slt i32 %inc, %b
   br i1 %cmp, label %do.body1, label %do.end
-; CHECK: edge do.body1 -> do.body1 probability is 124 / 128
-; CHECK: edge do.body1 -> do.end probability is 4 / 128
+; CHECK: edge do.body1 -> do.body1 probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
+; CHECK: edge do.body1 -> do.end probability is 0x04000000 / 0x80000000 = 3.12%
 
 do.end:
   call void @g3()
   %inc3 = add nsw i32 %i.0, 1
   %cmp4 = icmp slt i32 %inc3, %a
   br i1 %cmp4, label %do.body, label %do.end5
-; CHECK: edge do.end -> do.body probability is 124 / 128
-; CHECK: edge do.end -> do.end5 probability is 4 / 128
+; CHECK: edge do.end -> do.body probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
+; CHECK: edge do.end -> do.end5 probability is 0x04000000 / 0x80000000 = 3.12%
 
 do.end5:
   call void @g4()
@@ -43,20 +43,20 @@ define void @test2(i32 %a, i32 %b) {
 entry:
   %cmp9 = icmp sgt i32 %a, 0
   br i1 %cmp9, label %for.body.lr.ph, label %for.end6
-; CHECK: edge entry -> for.body.lr.ph probability is 20 / 32
-; CHECK: edge entry -> for.end6 probability is 12 / 32
+; CHECK: edge entry -> for.body.lr.ph probability is 0x50000000 / 0x80000000 = 62.50%
+; CHECK: edge entry -> for.end6 probability is 0x30000000 / 0x80000000 = 37.50%
 
 for.body.lr.ph:
   %cmp27 = icmp sgt i32 %b, 0
   br label %for.body
-; CHECK: edge for.body.lr.ph -> for.body probability is 16 / 16 = 100%
+; CHECK: edge for.body.lr.ph -> for.body probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 for.body:
   %i.010 = phi i32 [ 0, %for.body.lr.ph ], [ %inc5, %for.end ]
   call void @g1()
   br i1 %cmp27, label %for.body3, label %for.end
-; CHECK: edge for.body -> for.body3 probability is 20 / 32 = 62.5%
-; CHECK: edge for.body -> for.end probability is 12 / 32 = 37.5%
+; CHECK: edge for.body -> for.body3 probability is 0x50000000 / 0x80000000 = 62.50%
+; CHECK: edge for.body -> for.end probability is 0x30000000 / 0x80000000 = 37.50%
 
 for.body3:
   %j.08 = phi i32 [ %inc, %for.body3 ], [ 0, %for.body ]
@@ -64,16 +64,16 @@ for.body3:
   %inc = add nsw i32 %j.08, 1
   %exitcond = icmp eq i32 %inc, %b
   br i1 %exitcond, label %for.end, label %for.body3
-; CHECK: edge for.body3 -> for.end probability is 4 / 128
-; CHECK: edge for.body3 -> for.body3 probability is 124 / 128
+; CHECK: edge for.body3 -> for.end probability is 0x04000000 / 0x80000000 = 3.12%
+; CHECK: edge for.body3 -> for.body3 probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
 
 for.end:
   call void @g3()
   %inc5 = add nsw i32 %i.010, 1
   %exitcond11 = icmp eq i32 %inc5, %a
   br i1 %exitcond11, label %for.end6, label %for.body
-; CHECK: edge for.end -> for.end6 probability is 4 / 128
-; CHECK: edge for.end -> for.body probability is 124 / 128
+; CHECK: edge for.end -> for.end6 probability is 0x04000000 / 0x80000000 = 3.12%
+; CHECK: edge for.end -> for.body probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
 
 for.end6:
   call void @g4()
@@ -83,7 +83,7 @@ for.end6:
 define void @test3(i32 %a, i32 %b, i32* %c) {
 entry:
   br label %do.body
-; CHECK: edge entry -> do.body probability is 16 / 16 = 100%
+; CHECK: edge entry -> do.body probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 do.body:
   %i.0 = phi i32 [ 0, %entry ], [ %inc4, %if.end ]
@@ -91,8 +91,8 @@ do.body:
   %0 = load i32, i32* %c, align 4
   %cmp = icmp slt i32 %0, 42
   br i1 %cmp, label %do.body1, label %if.end
-; CHECK: edge do.body -> do.body1 probability is 16 / 32 = 50%
-; CHECK: edge do.body -> if.end probability is 16 / 32 = 50%
+; CHECK: edge do.body -> do.body1 probability is 0x40000000 / 0x80000000 = 50.00%
+; CHECK: edge do.body -> if.end probability is 0x40000000 / 0x80000000 = 50.00%
 
 do.body1:
   %j.0 = phi i32 [ %inc, %do.body1 ], [ 0, %do.body ]
@@ -100,16 +100,16 @@ do.body1:
   %inc = add nsw i32 %j.0, 1
   %cmp2 = icmp slt i32 %inc, %b
   br i1 %cmp2, label %do.body1, label %if.end
-; CHECK: edge do.body1 -> do.body1 probability is 124 / 128
-; CHECK: edge do.body1 -> if.end probability is 4 / 128
+; CHECK: edge do.body1 -> do.body1 probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
+; CHECK: edge do.body1 -> if.end probability is 0x04000000 / 0x80000000 = 3.12%
 
 if.end:
   call void @g3()
   %inc4 = add nsw i32 %i.0, 1
   %cmp5 = icmp slt i32 %inc4, %a
   br i1 %cmp5, label %do.body, label %do.end6
-; CHECK: edge if.end -> do.body probability is 124 / 128
-; CHECK: edge if.end -> do.end6 probability is 4 / 128
+; CHECK: edge if.end -> do.body probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
+; CHECK: edge if.end -> do.end6 probability is 0x04000000 / 0x80000000 = 3.12%
 
 do.end6:
   call void @g4()
@@ -119,7 +119,7 @@ do.end6:
 define void @test4(i32 %a, i32 %b, i32* %c) {
 entry:
   br label %do.body
-; CHECK: edge entry -> do.body probability is 16 / 16 = 100%
+; CHECK: edge entry -> do.body probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 do.body:
   %i.0 = phi i32 [ 0, %entry ], [ %inc4, %do.end ]
@@ -127,8 +127,8 @@ do.body:
   %0 = load i32, i32* %c, align 4
   %cmp = icmp slt i32 %0, 42
   br i1 %cmp, label %return, label %do.body1
-; CHECK: edge do.body -> return probability is 4 / 128
-; CHECK: edge do.body -> do.body1 probability is 124 / 128
+; CHECK: edge do.body -> return probability is 0x04000000 / 0x80000000 = 3.12%
+; CHECK: edge do.body -> do.body1 probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
 
 do.body1:
   %j.0 = phi i32 [ %inc, %do.body1 ], [ 0, %do.body ]
@@ -136,21 +136,21 @@ do.body1:
   %inc = add nsw i32 %j.0, 1
   %cmp2 = icmp slt i32 %inc, %b
   br i1 %cmp2, label %do.body1, label %do.end
-; CHECK: edge do.body1 -> do.body1 probability is 124 / 128
-; CHECK: edge do.body1 -> do.end probability is 4 / 128
+; CHECK: edge do.body1 -> do.body1 probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
+; CHECK: edge do.body1 -> do.end probability is 0x04000000 / 0x80000000 = 3.12%
 
 do.end:
   call void @g3()
   %inc4 = add nsw i32 %i.0, 1
   %cmp5 = icmp slt i32 %inc4, %a
   br i1 %cmp5, label %do.body, label %do.end6
-; CHECK: edge do.end -> do.body probability is 124 / 128
-; CHECK: edge do.end -> do.end6 probability is 4 / 128
+; CHECK: edge do.end -> do.body probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
+; CHECK: edge do.end -> do.end6 probability is 0x04000000 / 0x80000000 = 3.12%
 
 do.end6:
   call void @g4()
   br label %return
-; CHECK: edge do.end6 -> return probability is 16 / 16 = 100%
+; CHECK: edge do.end6 -> return probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 return:
   ret void
@@ -159,42 +159,42 @@ return:
 define void @test5(i32 %a, i32 %b, i32* %c) {
 entry:
   br label %do.body
-; CHECK: edge entry -> do.body probability is 16 / 16 = 100%
+; CHECK: edge entry -> do.body probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 do.body:
   %i.0 = phi i32 [ 0, %entry ], [ %inc4, %do.end ]
   call void @g1()
   br label %do.body1
-; CHECK: edge do.body -> do.body1 probability is 16 / 16 = 100%
+; CHECK: edge do.body -> do.body1 probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 do.body1:
   %j.0 = phi i32 [ 0, %do.body ], [ %inc, %if.end ]
   %0 = load i32, i32* %c, align 4
   %cmp = icmp slt i32 %0, 42
   br i1 %cmp, label %return, label %if.end
-; CHECK: edge do.body1 -> return probability is 4 / 128
-; CHECK: edge do.body1 -> if.end probability is 124 / 128
+; CHECK: edge do.body1 -> return probability is 0x04000000 / 0x80000000 = 3.12%
+; CHECK: edge do.body1 -> if.end probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
 
 if.end:
   call void @g2()
   %inc = add nsw i32 %j.0, 1
   %cmp2 = icmp slt i32 %inc, %b
   br i1 %cmp2, label %do.body1, label %do.end
-; CHECK: edge if.end -> do.body1 probability is 124 / 128
-; CHECK: edge if.end -> do.end probability is 4 / 128
+; CHECK: edge if.end -> do.body1 probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
+; CHECK: edge if.end -> do.end probability is 0x04000000 / 0x80000000 = 3.12%
 
 do.end:
   call void @g3()
   %inc4 = add nsw i32 %i.0, 1
   %cmp5 = icmp slt i32 %inc4, %a
   br i1 %cmp5, label %do.body, label %do.end6
-; CHECK: edge do.end -> do.body probability is 124 / 128
-; CHECK: edge do.end -> do.end6 probability is 4 / 128
+; CHECK: edge do.end -> do.body probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
+; CHECK: edge do.end -> do.end6 probability is 0x04000000 / 0x80000000 = 3.12%
 
 do.end6:
   call void @g4()
   br label %return
-; CHECK: edge do.end6 -> return probability is 16 / 16 = 100%
+; CHECK: edge do.end6 -> return probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 return:
   ret void
@@ -203,13 +203,13 @@ return:
 define void @test6(i32 %a, i32 %b, i32* %c) {
 entry:
   br label %do.body
-; CHECK: edge entry -> do.body probability is 16 / 16 = 100%
+; CHECK: edge entry -> do.body probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 do.body:
   %i.0 = phi i32 [ 0, %entry ], [ %inc4, %do.end ]
   call void @g1()
   br label %do.body1
-; CHECK: edge do.body -> do.body1 probability is 16 / 16 = 100%
+; CHECK: edge do.body -> do.body1 probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 do.body1:
   %j.0 = phi i32 [ 0, %do.body ], [ %inc, %do.cond ]
@@ -217,28 +217,28 @@ do.body1:
   %0 = load i32, i32* %c, align 4
   %cmp = icmp slt i32 %0, 42
   br i1 %cmp, label %return, label %do.cond
-; CHECK: edge do.body1 -> return probability is 4 / 128
-; CHECK: edge do.body1 -> do.cond probability is 124 / 128
+; CHECK: edge do.body1 -> return probability is 0x04000000 / 0x80000000 = 3.12%
+; CHECK: edge do.body1 -> do.cond probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
 
 do.cond:
   %inc = add nsw i32 %j.0, 1
   %cmp2 = icmp slt i32 %inc, %b
   br i1 %cmp2, label %do.body1, label %do.end
-; CHECK: edge do.cond -> do.body1 probability is 124 / 128
-; CHECK: edge do.cond -> do.end probability is 4 / 128
+; CHECK: edge do.cond -> do.body1 probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
+; CHECK: edge do.cond -> do.end probability is 0x04000000 / 0x80000000 = 3.12%
 
 do.end:
   call void @g3()
   %inc4 = add nsw i32 %i.0, 1
   %cmp5 = icmp slt i32 %inc4, %a
   br i1 %cmp5, label %do.body, label %do.end6
-; CHECK: edge do.end -> do.body probability is 124 / 128
-; CHECK: edge do.end -> do.end6 probability is 4 / 128
+; CHECK: edge do.end -> do.body probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
+; CHECK: edge do.end -> do.end6 probability is 0x04000000 / 0x80000000 = 3.12%
 
 do.end6:
   call void @g4()
   br label %return
-; CHECK: edge do.end6 -> return probability is 16 / 16 = 100%
+; CHECK: edge do.end6 -> return probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 return:
   ret void
@@ -248,27 +248,27 @@ define void @test7(i32 %a, i32 %b, i32* %c) {
 entry:
   %cmp10 = icmp sgt i32 %a, 0
   br i1 %cmp10, label %for.body.lr.ph, label %for.end7
-; CHECK: edge entry -> for.body.lr.ph probability is 20 / 32
-; CHECK: edge entry -> for.end7 probability is 12 / 32
+; CHECK: edge entry -> for.body.lr.ph probability is 0x50000000 / 0x80000000 = 62.50%
+; CHECK: edge entry -> for.end7 probability is 0x30000000 / 0x80000000 = 37.50%
 
 for.body.lr.ph:
   %cmp38 = icmp sgt i32 %b, 0
   br label %for.body
-; CHECK: edge for.body.lr.ph -> for.body probability is 16 / 16 = 100%
+; CHECK: edge for.body.lr.ph -> for.body probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 for.body:
   %i.011 = phi i32 [ 0, %for.body.lr.ph ], [ %inc6, %for.inc5 ]
   %0 = load i32, i32* %c, align 4
   %cmp1 = icmp eq i32 %0, %i.011
   br i1 %cmp1, label %for.inc5, label %if.end
-; CHECK: edge for.body -> for.inc5 probability is 16 / 32 = 50%
-; CHECK: edge for.body -> if.end probability is 16 / 32 = 50%
+; CHECK: edge for.body -> for.inc5 probability is 0x40000000 / 0x80000000 = 50.00%
+; CHECK: edge for.body -> if.end probability is 0x40000000 / 0x80000000 = 50.00%
 
 if.end:
   call void @g1()
   br i1 %cmp38, label %for.body4, label %for.end
-; CHECK: edge if.end -> for.body4 probability is 20 / 32 = 62.5%
-; CHECK: edge if.end -> for.end probability is 12 / 32 = 37.5%
+; CHECK: edge if.end -> for.body4 probability is 0x50000000 / 0x80000000 = 62.50%
+; CHECK: edge if.end -> for.end probability is 0x30000000 / 0x80000000 = 37.50%
 
 for.body4:
   %j.09 = phi i32 [ %inc, %for.body4 ], [ 0, %if.end ]
@@ -276,20 +276,20 @@ for.body4:
   %inc = add nsw i32 %j.09, 1
   %exitcond = icmp eq i32 %inc, %b
   br i1 %exitcond, label %for.end, label %for.body4
-; CHECK: edge for.body4 -> for.end probability is 4 / 128
-; CHECK: edge for.body4 -> for.body4 probability is 124 / 128
+; CHECK: edge for.body4 -> for.end probability is 0x04000000 / 0x80000000 = 3.12%
+; CHECK: edge for.body4 -> for.body4 probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
 
 for.end:
   call void @g3()
   br label %for.inc5
-; CHECK: edge for.end -> for.inc5 probability is 16 / 16 = 100%
+; CHECK: edge for.end -> for.inc5 probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 for.inc5:
   %inc6 = add nsw i32 %i.011, 1
   %exitcond12 = icmp eq i32 %inc6, %a
   br i1 %exitcond12, label %for.end7, label %for.body
-; CHECK: edge for.inc5 -> for.end7 probability is 4 / 128
-; CHECK: edge for.inc5 -> for.body probability is 124 / 128
+; CHECK: edge for.inc5 -> for.end7 probability is 0x04000000 / 0x80000000 = 3.12%
+; CHECK: edge for.inc5 -> for.body probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
 
 for.end7:
   call void @g4()
@@ -300,64 +300,64 @@ define void @test8(i32 %a, i32 %b, i32* %c) {
 entry:
   %cmp18 = icmp sgt i32 %a, 0
   br i1 %cmp18, label %for.body.lr.ph, label %for.end15
-; CHECK: edge entry -> for.body.lr.ph probability is 20 / 32
-; CHECK: edge entry -> for.end15 probability is 12 / 32
+; CHECK: edge entry -> for.body.lr.ph probability is 0x50000000 / 0x80000000 = 62.50%
+; CHECK: edge entry -> for.end15 probability is 0x30000000 / 0x80000000 = 37.50%
 
 for.body.lr.ph:
   %cmp216 = icmp sgt i32 %b, 0
   %arrayidx5 = getelementptr inbounds i32, i32* %c, i64 1
   %arrayidx9 = getelementptr inbounds i32, i32* %c, i64 2
   br label %for.body
-; CHECK: edge for.body.lr.ph -> for.body probability is 16 / 16 = 100%
+; CHECK: edge for.body.lr.ph -> for.body probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 for.body:
   %i.019 = phi i32 [ 0, %for.body.lr.ph ], [ %inc14, %for.end ]
   call void @g1()
   br i1 %cmp216, label %for.body3, label %for.end
-; CHECK: edge for.body -> for.body3 probability is 20 / 32 = 62.5%
-; CHECK: edge for.body -> for.end probability is 12 / 32 = 37.5%
+; CHECK: edge for.body -> for.body3 probability is 0x50000000 / 0x80000000 = 62.50%
+; CHECK: edge for.body -> for.end probability is 0x30000000 / 0x80000000 = 37.50%
 
 for.body3:
   %j.017 = phi i32 [ 0, %for.body ], [ %inc, %for.inc ]
   %0 = load i32, i32* %c, align 4
   %cmp4 = icmp eq i32 %0, %j.017
   br i1 %cmp4, label %for.inc, label %if.end
-; CHECK: edge for.body3 -> for.inc probability is 16 / 32 = 50%
-; CHECK: edge for.body3 -> if.end probability is 16 / 32 = 50%
+; CHECK: edge for.body3 -> for.inc probability is 0x40000000 / 0x80000000 = 50.00%
+; CHECK: edge for.body3 -> if.end probability is 0x40000000 / 0x80000000 = 50.00%
 
 if.end:
   %1 = load i32, i32* %arrayidx5, align 4
   %cmp6 = icmp eq i32 %1, %j.017
   br i1 %cmp6, label %for.inc, label %if.end8
-; CHECK: edge if.end -> for.inc probability is 16 / 32 = 50%
-; CHECK: edge if.end -> if.end8 probability is 16 / 32 = 50%
+; CHECK: edge if.end -> for.inc probability is 0x40000000 / 0x80000000 = 50.00%
+; CHECK: edge if.end -> if.end8 probability is 0x40000000 / 0x80000000 = 50.00%
 
 if.end8:
   %2 = load i32, i32* %arrayidx9, align 4
   %cmp10 = icmp eq i32 %2, %j.017
   br i1 %cmp10, label %for.inc, label %if.end12
-; CHECK: edge if.end8 -> for.inc probability is 16 / 32 = 50%
-; CHECK: edge if.end8 -> if.end12 probability is 16 / 32 = 50%
+; CHECK: edge if.end8 -> for.inc probability is 0x40000000 / 0x80000000 = 50.00%
+; CHECK: edge if.end8 -> if.end12 probability is 0x40000000 / 0x80000000 = 50.00%
 
 if.end12:
   call void @g2()
   br label %for.inc
-; CHECK: edge if.end12 -> for.inc probability is 16 / 16 = 100%
+; CHECK: edge if.end12 -> for.inc probability is 0x80000000 / 0x80000000 = 100.00% [HOT edge]
 
 for.inc:
   %inc = add nsw i32 %j.017, 1
   %exitcond = icmp eq i32 %inc, %b
   br i1 %exitcond, label %for.end, label %for.body3
-; CHECK: edge for.inc -> for.end probability is 4 / 128
-; CHECK: edge for.inc -> for.body3 probability is 124 / 128
+; CHECK: edge for.inc -> for.end probability is 0x04000000 / 0x80000000 = 3.12%
+; CHECK: edge for.inc -> for.body3 probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
 
 for.end:
   call void @g3()
   %inc14 = add nsw i32 %i.019, 1
   %exitcond20 = icmp eq i32 %inc14, %a
   br i1 %exitcond20, label %for.end15, label %for.body
-; CHECK: edge for.end -> for.end15 probability is 4 / 128
-; CHECK: edge for.end -> for.body probability is 124 / 128
+; CHECK: edge for.end -> for.end15 probability is 0x04000000 / 0x80000000 = 3.12%
+; CHECK: edge for.end -> for.body probability is 0x7c000000 / 0x80000000 = 96.88% [HOT edge]
 
 for.end15:
   call void @g4()
diff --git a/llvm/test/Analysis/BranchProbabilityInfo/noreturn.ll b/llvm/test/Analysis/BranchProbabilityInfo/noreturn.ll
index 8b9ae11f7d3..63926370cda 100644
--- a/llvm/test/Analysis/BranchProbabilityInfo/noreturn.ll
+++ b/llvm/test/Analysis/BranchProbabilityInfo/noreturn.ll
@@ -8,8 +8,8 @@ define i32 @test1(i32 %a, i32 %b) {
 entry:
   %cond = icmp eq i32 %a, 42
   br i1 %cond, label %exit, label %abort
-; CHECK: edge entry -> exit probability is 1048575 / 1048576
-; CHECK: edge entry -> abort probability is 1 / 1048576
+; CHECK: edge entry -> exit probability is 0x7ffff800 / 0x80000000 = 100.00% [HOT edge]
+; CHECK: edge entry -> abort probability is 0x00000800 / 0x80000000 = 0.00%
 
 abort:
   call void @abort() noreturn
@@ -26,11 +26,11 @@ entry:
                               i32 2, label %case_b
                               i32 3, label %case_c
                               i32 4, label %case_d]
-; CHECK: edge entry -> exit probability is 1048575 / 1048579
-; CHECK: edge entry -> case_a probability is 1 / 1048579
-; CHECK: edge entry -> case_b probability is 1 / 1048579
-; CHECK: edge entry -> case_c probability is 1 / 1048579
-; CHECK: edge entry -> case_d probability is 1 / 1048579
+; CHECK: edge entry -> exit probability is 0x7fffe000 / 0x80000000 = 100.00% [HOT edge]
+; CHECK: edge entry -> case_a probability is 0x00000800 / 0x80000000 = 0.00%
+; CHECK: edge entry -> case_b probability is 0x00000800 / 0x80000000 = 0.00%
+; CHECK: edge entry -> case_c probability is 0x00000800 / 0x80000000 = 0.00%
+; CHECK: edge entry -> case_d probability is 0x00000800 / 0x80000000 = 0.00%
 
 case_a:
   br label %case_b
@@ -55,14 +55,14 @@ define i32 @test3(i32 %a, i32 %b) {
 entry:
   %cond1 = icmp eq i32 %a, 42
   br i1 %cond1, label %exit, label %dom
-; CHECK: edge entry -> exit probability is 1048575 / 1048576
-; CHECK: edge entry -> dom probability is 1 / 1048576
+; CHECK: edge entry -> exit probability is 0x7ffff800 / 0x80000000 = 100.00% [HOT edge]
+; CHECK: edge entry -> dom probability is 0x00000800 / 0x80000000 = 0.00%
 
 dom:
   %cond2 = icmp ult i32 %a, 42
   br i1 %cond2, label %idom1, label %idom2
-; CHECK: edge dom -> idom1 probability is 1 / 2
-; CHECK: edge dom -> idom2 probability is 1 / 2
+; CHECK: edge dom -> idom1 probability is 0x40000000 / 0x80000000 = 50.00%
+; CHECK: edge dom -> idom2 probability is 0x40000000 / 0x80000000 = 50.00%
 
 idom1:
   br label %abort
diff --git a/llvm/test/Analysis/BranchProbabilityInfo/pr18705.ll b/llvm/test/Analysis/BranchProbabilityInfo/pr18705.ll
index aff08a63d50..f5f9612fcdb 100644
--- a/llvm/test/Analysis/BranchProbabilityInfo/pr18705.ll
+++ b/llvm/test/Analysis/BranchProbabilityInfo/pr18705.ll
@@ -4,8 +4,8 @@
 ; calcLoopBranchHeuristics should return early without setting the weights.
 ; calcFloatingPointHeuristics, which is run later, sets the weights.
 ;
-; CHECK: edge while.body -> if.then probability is 20 / 32 = 62.5%
-; CHECK: edge while.body -> if.else probability is 12 / 32 = 37.5%
+; CHECK: edge while.body -> if.then probability is 0x50000000 / 0x80000000 = 62.50%
+; CHECK: edge while.body -> if.else probability is 0x30000000 / 0x80000000 = 37.50%
 
 define void @foo1(i32 %n, i32* nocapture %b, i32* nocapture %c, i32* nocapture %d, float* nocapture readonly %f0, float* nocapture readonly %f1) {
 entry:
diff --git a/llvm/test/Analysis/BranchProbabilityInfo/pr22718.ll b/llvm/test/Analysis/BranchProbabilityInfo/pr22718.ll
index 0de4d643c9c..51bbd13e83c 100644
--- a/llvm/test/Analysis/BranchProbabilityInfo/pr22718.ll
+++ b/llvm/test/Analysis/BranchProbabilityInfo/pr22718.ll
@@ -4,8 +4,8 @@
 ; reflected in the probability computation because the weight is larger than
 ; the branch weight cap (about 2 billion).
 ;
-; CHECK: edge for.body -> if.then probability is 216661881 / 2166666667 = 9.9
-; CHECK: edge for.body -> if.else probability is 1950004786 / 2166666667 = 90.0
+; CHECK: edge for.body -> if.then probability is 0x0cccba45 / 0x80000000 = 10.00%
+; CHECK: edge for.body -> if.else probability is 0x733345bb / 0x80000000 = 90.00% [HOT edge]
 
 @y = common global i64 0, align 8
 @x = common global i64 0, align 8