diff --git a/llvm/test/Transforms/InstCombine/ctpop-pow2.ll b/llvm/test/Transforms/InstCombine/ctpop-pow2.ll
new file mode 100644
--- /dev/null
+++ b/llvm/test/Transforms/InstCombine/ctpop-pow2.ll
@@ -0,0 +1,127 @@
+; NOTE: Assertions have been autogenerated by utils/update_test_checks.py
+; RUN: opt < %s -passes=instcombine -S | FileCheck %s
+
+declare i64 @llvm.ctpop.i64(i64)
+declare i32 @llvm.ctpop.i32(i32)
+declare i16 @llvm.ctpop.i16(i16)
+declare i8 @llvm.ctpop.i8(i8)
+declare void @llvm.assume(i1)
+
+define i64 @ctpop_1_shl(i64 %x) {
+; CHECK-LABEL: @ctpop_1_shl(
+; CHECK-NEXT:    [[V:%.*]] = shl nuw i64 1, [[X:%.*]]
+; CHECK-NEXT:    [[CNT:%.*]] = call i64 @llvm.ctpop.i64(i64 [[V]]), !range [[RNG0:![0-9]+]]
+; CHECK-NEXT:    ret i64 [[CNT]]
+;
+  %v = shl i64 1, %x
+  %cnt = call i64 @llvm.ctpop.i64(i64 %v)
+  ret i64 %cnt
+}
+
+define i32 @ctpop_imin_lshr(i32 %x) {
+; CHECK-LABEL: @ctpop_imin_lshr(
+; CHECK-NEXT:    [[V:%.*]] = lshr i32 -2147483648, [[X:%.*]]
+; CHECK-NEXT:    [[CNT:%.*]] = call i32 @llvm.ctpop.i32(i32 [[V]]), !range [[RNG1:![0-9]+]]
+; CHECK-NEXT:    ret i32 [[CNT]]
+;
+  %v = lshr i32 2147483648, %x
+  %cnt = call i32 @llvm.ctpop.i32(i32 %v)
+  ret i32 %cnt
+}
+
+define i16 @ctpop_x_and_negx(i16 %x) {
+; CHECK-LABEL: @ctpop_x_and_negx(
+; CHECK-NEXT:    [[V0:%.*]] = sub i16 0, [[X:%.*]]
+; CHECK-NEXT:    [[V1:%.*]] = and i16 [[V0]], [[X]]
+; CHECK-NEXT:    [[CNT:%.*]] = call i16 @llvm.ctpop.i16(i16 [[V1]]), !range [[RNG2:![0-9]+]]
+; CHECK-NEXT:    ret i16 [[CNT]]
+;
+  %v0 = sub i16 0, %x
+  %v1 = and i16 %x, %v0
+  %cnt = call i16 @llvm.ctpop.i16(i16 %v1)
+  ret i16 %cnt
+}
+
+define i8 @ctpop_x_nz_and_negx(i8 %x) {
+; CHECK-LABEL: @ctpop_x_nz_and_negx(
+; CHECK-NEXT:    [[X1:%.*]] = or i8 [[X:%.*]], 1
+; CHECK-NEXT:    [[V0:%.*]] = sub nsw i8 0, [[X1]]
+; CHECK-NEXT:    [[V1:%.*]] = and i8 [[X1]], [[V0]]
+; CHECK-NEXT:    [[CNT:%.*]] = call i8 @llvm.ctpop.i8(i8 [[V1]]), !range [[RNG3:![0-9]+]]
+; CHECK-NEXT:    ret i8 [[CNT]]
+;
+  %x1 = or i8 %x, 1
+  %v0 = sub i8 0, %x1
+  %v1 = and i8 %x1, %v0
+  %cnt = call i8 @llvm.ctpop.i8(i8 %v1)
+  ret i8 %cnt
+}
+
+define i32 @ctpop_2_shl(i32 %x) {
+; CHECK-LABEL: @ctpop_2_shl(
+; CHECK-NEXT:    [[V:%.*]] = shl i32 2, [[X:%.*]]
+; CHECK-NEXT:    [[CNT:%.*]] = call i32 @llvm.ctpop.i32(i32 [[V]]), !range [[RNG4:![0-9]+]]
+; CHECK-NEXT:    ret i32 [[CNT]]
+;
+  %v = shl i32 2, %x
+  %cnt = call i32 @llvm.ctpop.i32(i32 %v)
+  ret i32 %cnt
+}
+
+define i16 @ctpop_imin_plus1_lshr(i16 %x) {
+; CHECK-LABEL: @ctpop_imin_plus1_lshr(
+; CHECK-NEXT:    [[V:%.*]] = lshr i16 -32767, [[X:%.*]]
+; CHECK-NEXT:    [[CNT:%.*]] = call i16 @llvm.ctpop.i16(i16 [[V]]), !range [[RNG2]]
+; CHECK-NEXT:    ret i16 [[CNT]]
+;
+  %v = lshr i16 32769, %x
+  %cnt = call i16 @llvm.ctpop.i16(i16 %v)
+  ret i16 %cnt
+}
+
+
+define i32 @ctpop_2_shl_nz(i32 %x) {
+; CHECK-LABEL: @ctpop_2_shl_nz(
+; CHECK-NEXT:    [[XA30:%.*]] = and i32 [[X:%.*]], 30
+; CHECK-NEXT:    [[V:%.*]] = shl i32 2, [[XA30]]
+; CHECK-NEXT:    [[CNT:%.*]] = call i32 @llvm.ctpop.i32(i32 [[V]]), !range [[RNG5:![0-9]+]]
+; CHECK-NEXT:    ret i32 [[CNT]]
+;
+  %xa30 = and i32 30, %x
+  %v = shl i32 2, %xa30
+  %cnt = call i32 @llvm.ctpop.i32(i32 %v)
+  ret i32 %cnt
+}
+
+define i8 @ctpop_imin_plus1_lshr_nz(i8 %x) {
+; CHECK-LABEL: @ctpop_imin_plus1_lshr_nz(
+; CHECK-NEXT:    [[CMP:%.*]] = icmp ne i8 [[X:%.*]], 0
+; CHECK-NEXT:    call void @llvm.assume(i1 [[CMP]])
+; CHECK-NEXT:    [[V:%.*]] = lshr i8 -127, [[X]]
+; CHECK-NEXT:    [[CNT:%.*]] = call i8 @llvm.ctpop.i8(i8 [[V]]), !range [[RNG6:![0-9]+]]
+; CHECK-NEXT:    ret i8 [[CNT]]
+;
+  %cmp = icmp ne i8 %x, 0
+  call void @llvm.assume(i1 %cmp)
+  %v = lshr i8 129, %x
+  %cnt = call i8 @llvm.ctpop.i8(i8 %v)
+  ret i8 %cnt
+}
+
+
+define i64 @ctpop_x_and_negx_nz(i64 %x) {
+; CHECK-LABEL: @ctpop_x_and_negx_nz(
+; CHECK-NEXT:    [[V0:%.*]] = sub i64 0, [[X:%.*]]
+; CHECK-NEXT:    [[V1:%.*]] = and i64 [[V0]], [[X]]
+; CHECK-NEXT:    [[CMP:%.*]] = icmp ne i64 [[V1]], 0
+; CHECK-NEXT:    call void @llvm.assume(i1 [[CMP]])
+; CHECK-NEXT:    [[CNT:%.*]] = call i64 @llvm.ctpop.i64(i64 [[V1]]), !range [[RNG0]]
+; CHECK-NEXT:    ret i64 [[CNT]]
+;
+  %v0 = sub i64 0, %x
+  %v1 = and i64 %x, %v0
+  %cmp = icmp ne i64 %v1, 0
+  call void @llvm.assume(i1 %cmp)
+  %cnt = call i64 @llvm.ctpop.i64(i64 %v1)
+  ret i64 %cnt
+}