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      1 ; RUN: opt -analyze -scalar-evolution < %s | FileCheck %s
      2 
      3 define void @f0(i1 %c) {
      4 ; CHECK-LABEL: Classifying expressions for: @f0
      5 entry:
      6   %start = select i1 %c, i32 127, i32 0
      7   %step  = select i1 %c, i32 -1,  i32 1
      8   br label %loop
      9 
     10 loop:
     11   %loop.iv = phi i32 [ 0, %entry ], [ %loop.iv.inc, %loop ]
     12   %iv = phi i32 [ %start, %entry ], [ %iv.next, %loop ]
     13 ; CHECK: %iv = phi i32 [ %start, %entry ], [ %iv.next, %loop ]
     14 ; CHECK-NEXT:  -->  {%start,+,%step}<%loop> U: [0,128) S: [0,128)
     15   %iv.next = add i32 %iv, %step
     16   %loop.iv.inc = add i32 %loop.iv, 1
     17   %be.cond = icmp ne i32 %loop.iv.inc, 128
     18   br i1 %be.cond, label %loop, label %leave
     19 
     20 leave:
     21   ret void
     22 }
     23 
     24 define void @f1(i1 %c) {
     25 ; CHECK-LABEL: Classifying expressions for: @f1
     26 entry:
     27   %start = select i1 %c, i32 120, i32 0
     28   %step  = select i1 %c, i32 -8,  i32 8
     29   br label %loop
     30 
     31 loop:
     32   %loop.iv = phi i32 [ 0, %entry ], [ %loop.iv.inc, %loop ]
     33   %iv = phi i32 [ %start, %entry ], [ %iv.next, %loop ]
     34 
     35 ; CHECK:  %iv.1 = add i32 %iv, 1
     36 ; CHECK-NEXT:  -->  {(1 + %start)<nuw><nsw>,+,%step}<%loop> U: [1,122) S: [1,122)
     37 ; CHECK:  %iv.2 = add i32 %iv, 2
     38 ; CHECK-NEXT:  -->  {(2 + %start)<nuw><nsw>,+,%step}<%loop> U: [2,123) S: [2,123)
     39 ; CHECK:  %iv.3 = add i32 %iv, 3
     40 ; CHECK-NEXT:  -->  {(3 + %start)<nuw><nsw>,+,%step}<%loop> U: [3,124) S: [3,124)
     41 ; CHECK:  %iv.4 = add i32 %iv, 4
     42 ; CHECK-NEXT:  -->  {(4 + %start)<nuw><nsw>,+,%step}<%loop> U: [4,125) S: [4,125)
     43 ; CHECK:  %iv.5 = add i32 %iv, 5
     44 ; CHECK-NEXT:  -->  {(5 + %start)<nuw><nsw>,+,%step}<%loop> U: [5,126) S: [5,126)
     45 ; CHECK:  %iv.6 = add i32 %iv, 6
     46 ; CHECK-NEXT:  -->  {(6 + %start)<nuw><nsw>,+,%step}<%loop> U: [6,127) S: [6,127)
     47 ; CHECK:  %iv.7 = add i32 %iv, 7
     48 ; CHECK-NEXT:  -->  {(7 + %start)<nuw><nsw>,+,%step}<%loop> U: [7,128) S: [7,128)
     49 
     50   %iv.1 = add i32 %iv, 1
     51   %iv.2 = add i32 %iv, 2
     52   %iv.3 = add i32 %iv, 3
     53   %iv.4 = add i32 %iv, 4
     54   %iv.5 = add i32 %iv, 5
     55   %iv.6 = add i32 %iv, 6
     56   %iv.7 = add i32 %iv, 7
     57 
     58 ; CHECK:  %iv.m1 = sub i32 %iv, 1
     59 ; CHECK-NEXT:  -->  {(-1 + %start)<nsw>,+,%step}<%loop> U: [-1,120) S: [-1,120)
     60 ; CHECK:  %iv.m2 = sub i32 %iv, 2
     61 ; CHECK-NEXT:  -->  {(-2 + %start)<nsw>,+,%step}<%loop> U: [-2,119) S: [-2,119)
     62 ; CHECK:  %iv.m3 = sub i32 %iv, 3
     63 ; CHECK-NEXT:  -->  {(-3 + %start)<nsw>,+,%step}<%loop> U: [-3,118) S: [-3,118)
     64 ; CHECK:  %iv.m4 = sub i32 %iv, 4
     65 ; CHECK-NEXT:  -->  {(-4 + %start)<nsw>,+,%step}<%loop> U: [-4,117) S: [-4,117)
     66 ; CHECK:  %iv.m5 = sub i32 %iv, 5
     67 ; CHECK-NEXT:  -->  {(-5 + %start)<nsw>,+,%step}<%loop> U: [-5,116) S: [-5,116)
     68 ; CHECK:  %iv.m6 = sub i32 %iv, 6
     69 ; CHECK-NEXT:  -->  {(-6 + %start)<nsw>,+,%step}<%loop> U: [-6,115) S: [-6,115)
     70 ; CHECK:  %iv.m7 = sub i32 %iv, 7
     71 ; CHECK-NEXT:  -->  {(-7 + %start)<nsw>,+,%step}<%loop> U: [-7,114) S: [-7,114)
     72 
     73   %iv.m1 = sub i32 %iv, 1
     74   %iv.m2 = sub i32 %iv, 2
     75   %iv.m3 = sub i32 %iv, 3
     76   %iv.m4 = sub i32 %iv, 4
     77   %iv.m5 = sub i32 %iv, 5
     78   %iv.m6 = sub i32 %iv, 6
     79   %iv.m7 = sub i32 %iv, 7
     80 
     81   %iv.next = add i32 %iv, %step
     82   %loop.iv.inc = add i32 %loop.iv, 1
     83   %be.cond = icmp sgt i32 %loop.iv, 14
     84   br i1 %be.cond, label %leave, label %loop
     85 
     86 leave:
     87   ret void
     88 }
     89 
     90 define void @f2(i1 %c) {
     91 ; CHECK-LABEL: Classifying expressions for: @f2
     92 entry:
     93   %start = select i1 %c, i32 127, i32 0
     94   %step  = select i1 %c, i32 -1,  i32 1
     95   br label %loop
     96 
     97 loop:
     98   %loop.iv = phi i32 [ 0, %entry ], [ %loop.iv.inc, %loop ]
     99   %iv = phi i32 [ %start, %entry ], [ %iv.next, %loop ]
    100   %iv.sext = sext i32 %iv to i64
    101   %iv.next = add i32 %iv, %step
    102 ; CHECK:  %iv.sext = sext i32 %iv to i64
    103 ; CHECK-NEXT:   -->  {(sext i32 %start to i64),+,(sext i32 %step to i64)}<nsw><%loop> U: [0,128) S: [0,128)
    104   %loop.iv.inc = add i32 %loop.iv, 1
    105   %be.cond = icmp ne i32 %loop.iv.inc, 128
    106   br i1 %be.cond, label %loop, label %leave
    107 
    108 leave:
    109   ret void
    110 }
    111 
    112 define void @f3(i1 %c) {
    113 ; CHECK-LABEL: Classifying expressions for: @f3
    114 entry:
    115 
    116 ; NB! the i16 type (as opposed to i32), the choice of the constant 509
    117 ; and the trip count are all related and not arbitrary.  We want an
    118 ; add recurrence that will look like it can unsign-overflow *unless*
    119 ; SCEV is able to see the correlation between the two selects feeding
    120 ; into the initial value and the step increment.
    121 
    122   %start = select i1 %c, i16 1000, i16 0
    123   %step  = select i1 %c, i16 1,  i16 509
    124   br label %loop
    125 
    126 loop:
    127   %loop.iv = phi i16 [ 0, %entry ], [ %loop.iv.inc, %loop ]
    128   %iv = phi i16 [ %start, %entry ], [ %iv.next, %loop ]
    129   %iv.zext = zext i16 %iv to i64
    130 ; CHECK:  %iv.zext = zext i16 %iv to i64
    131 ; CHECK-NEXT:  -->  {(zext i16 %start to i64),+,(zext i16 %step to i64)}<nuw><%loop> U: [0,64644) S: [0,64644)
    132   %iv.next = add i16 %iv, %step
    133   %loop.iv.inc = add i16 %loop.iv, 1
    134   %be.cond = icmp ne i16 %loop.iv.inc, 128
    135   br i1 %be.cond, label %loop, label %leave
    136 
    137 leave:
    138   ret void
    139 }
    140 
    141 define void @f4(i1 %c) {
    142 ; CHECK-LABEL: Classifying expressions for: @f4
    143 
    144 ; @f4() demonstrates a case where SCEV is not able to compute a
    145 ; precise range for %iv.trunc, though it should be able to, in theory.
    146 ; This is because SCEV looks into affine add recurrences only when the
    147 ; backedge taken count of the loop has the same bitwidth as the
    148 ; induction variable.
    149 entry:
    150   %start = select i1 %c, i32 127, i32 0
    151   %step  = select i1 %c, i32 -1,  i32 1
    152   br label %loop
    153 
    154 loop:
    155   %loop.iv = phi i32 [ 0, %entry ], [ %loop.iv.inc, %loop ]
    156   %iv = phi i32 [ %start, %entry ], [ %iv.next, %loop ]
    157   %iv.trunc = trunc i32 %iv to i16
    158 ; CHECK:  %iv.trunc = trunc i32 %iv to i16
    159 ; CHECK-NEXT:   -->  {(trunc i32 %start to i16),+,(trunc i32 %step to i16)}<%loop> U: full-set S: full-set
    160   %iv.next = add i32 %iv, %step
    161   %loop.iv.inc = add i32 %loop.iv, 1
    162   %be.cond = icmp ne i32 %loop.iv.inc, 128
    163   br i1 %be.cond, label %loop, label %leave
    164 
    165 leave:
    166   ret void
    167 }
    168 
    169 define void @f5(i1 %c) {
    170 ; CHECK-LABEL: Classifying expressions for: @f5
    171 entry:
    172   %start = select i1 %c, i32 127, i32 0
    173   %step  = select i1 %c, i32 -1,  i32 1
    174   br label %loop
    175 
    176 loop:
    177   %loop.iv = phi i16 [ 0, %entry ], [ %loop.iv.inc, %loop ]
    178   %iv = phi i32 [ %start, %entry ], [ %iv.next, %loop ]
    179   %iv.trunc = trunc i32 %iv to i16
    180 ; CHECK:  %iv.trunc = trunc i32 %iv to i16
    181 ; CHECK-NEXT:  -->  {(trunc i32 %start to i16),+,(trunc i32 %step to i16)}<%loop> U: [0,128) S: [0,128)
    182   %iv.next = add i32 %iv, %step
    183 
    184   %loop.iv.inc = add i16 %loop.iv, 1
    185   %be.cond = icmp ne i16 %loop.iv.inc, 128
    186   br i1 %be.cond, label %loop, label %leave
    187 
    188 leave:
    189   ret void
    190 }
    191 
    192 define void @f6(i1 %c) {
    193 ; CHECK-LABEL: Classifying expressions for: @f6
    194 entry:
    195   %start = select i1 %c, i32 127, i32 0
    196   %step  = select i1 %c, i32 -2,  i32 0
    197   br label %loop
    198 
    199 loop:
    200   %loop.iv = phi i16 [ 0, %entry ], [ %loop.iv.inc, %loop ]
    201   %iv = phi i32 [ %start, %entry ], [ %iv.next, %loop ]
    202 ; CHECK:   %iv = phi i32 [ %start, %entry ], [ %iv.next, %loop ]
    203 ; CHECK-NEXT:  -->  {%start,+,(1 + %step)<nuw><nsw>}<%loop> U: [0,128) S: [0,128)
    204 
    205   %step.plus.one = add i32 %step, 1
    206   %iv.next = add i32 %iv, %step.plus.one
    207   %iv.sext = sext i32 %iv to i64
    208 ; CHECK:   %iv.sext = sext i32 %iv to i64
    209 ; CHECK-NEXT:  -->  {(sext i32 %start to i64),+,(1 + (sext i32 %step to i64))<nsw>}<nsw><%loop> U: [0,128) S: [0,128)
    210   %loop.iv.inc = add i16 %loop.iv, 1
    211   %be.cond = icmp ne i16 %loop.iv.inc, 128
    212   br i1 %be.cond, label %loop, label %leave
    213 
    214 leave:
    215   ret void
    216 }
    217 
    218 define void @f7(i1 %c) {
    219 ; CHECK-LABEL: Classifying expressions for: @f7
    220 entry:
    221   %start = select i1 %c, i32 127, i32 0
    222   %step  = select i1 %c, i32 -1,  i32 1
    223   br label %loop
    224 
    225 loop:
    226   %loop.iv = phi i16 [ 0, %entry ], [ %loop.iv.inc, %loop ]
    227   %iv = phi i32 [ %start, %entry ], [ %iv.next, %loop ]
    228   %iv.trunc = trunc i32 %iv to i16
    229 ; CHECK:  %iv.trunc = trunc i32 %iv to i16
    230 ; CHECK-NEXT:  -->  {(trunc i32 %start to i16),+,(trunc i32 %step to i16)}<%loop> U: [0,128) S: [0,128)
    231   %iv.next = add i32 %iv, %step
    232 
    233   %iv.trunc.plus.one = add i16 %iv.trunc, 1
    234 ; CHECK:  %iv.trunc.plus.one = add i16 %iv.trunc, 1
    235 ; CHECK-NEXT:  -->  {(1 + (trunc i32 %start to i16))<nuw><nsw>,+,(trunc i32 %step to i16)}<%loop> U: [1,129) S: [1,129)
    236 
    237   %iv.trunc.plus.two = add i16 %iv.trunc, 2
    238 ; CHECK:  %iv.trunc.plus.two = add i16 %iv.trunc, 2
    239 ; CHECK-NEXT:  -->  {(2 + (trunc i32 %start to i16))<nuw><nsw>,+,(trunc i32 %step to i16)}<%loop> U: [2,130) S: [2,130)
    240 
    241   %loop.iv.inc = add i16 %loop.iv, 1
    242   %be.cond = icmp ne i16 %loop.iv.inc, 128
    243   br i1 %be.cond, label %loop, label %leave
    244 
    245 leave:
    246   ret void
    247 }
    248