Optimize pow when self is a power of two

if base == 2 ** k, then
   (2 ** k) ** n
== 2 ** (k * n)
== 1 << (k * n)

Author: Kmeakin

library/core/src/num/uint_macros.rs

@@ -3318,6 +3318,18 @@ macro_rules! uint_impl {
             let mut base = self;
             let mut acc = 1;
 
+            if intrinsics::is_val_statically_known(base) {
+                // change of base:
+                // if base == 2 ** k, then
+                //    (2 ** k) ** n
+                // == 2 ** (k * n)
+                // == 1 << (k * n)
+                if base.is_power_of_two() {
+                    let k = base.ilog2();
+                    return 1 << (k * exp)
+                }
+            }
+
             if intrinsics::is_val_statically_known(exp) {
                 while exp > 1 {
                     if (exp & 1) == 1 {

library/coretests/tests/num/uint_macros.rs

@@ -310,6 +310,12 @@ macro_rules! uint_module {
                     assert_eq_const_safe!(($T, bool): R.overflowing_pow(2), (1 as $T, true));
                     assert_eq_const_safe!($T: R.saturating_pow(2), MAX);
                 }
+
+                #[test]
+                #[should_panic]
+                fn test_pow_overflow() {
+                    let _ = <$T>::pow(2, 129);
+                }
             }
 
             fn test_isqrt() {

tests/codegen-llvm/pow_known_base.rs

@@ -0,0 +1,36 @@
+//@ compile-flags: -Copt-level=3
+// Test that `pow` can use a faster implementation when `base` is a
+// known power of two
+
+#![crate_type = "lib"]
+
+// CHECK-LABEL: @pow2
+#[no_mangle]
+pub fn pow2(exp: u32) -> u32 {
+    // CHECK: %[[SHIFT_AMOUNT:.+]] = and i32 %exp, 31
+    // CHECK: %[[POW2:.+]] = shl nuw i32 1, %[[SHIFT_AMOUNT]]
+    // CHECK: ret i32 %[[POW2]]
+    2u32.pow(exp)
+}
+
+// 4 ** n == 2 ** (2 * n) == 1 << (2 * n)
+// CHECK-LABEL: @pow4
+#[no_mangle]
+pub fn pow4(exp: u32) -> u32 {
+    // CHECK: %[[EXP2:.+]] = shl i32 %exp, 1
+    // CHECK: %[[SHIFT_AMOUNT:.+]] = and i32 %[[EXP2]], 30
+    // CHECK: %[[POW4:.+]] = shl nuw nsw i32 1, %[[SHIFT_AMOUNT]]
+    // CHECK: ret i32 %[[POW4]]
+    4u32.pow(exp)
+}
+
+// 16 ** n == 2 ** (4 * n) == 1 << (4 * n)
+// CHECK-LABEL: @pow16
+#[no_mangle]
+pub fn pow16(exp: u32) -> u32 {
+    // CHECK: %[[EXP2:.+]] = shl i32 %exp, 2
+    // CHECK: %[[SHIFT_AMOUNT:.+]] = and i32 %[[EXP2]], 28
+    // CHECK: %[[POW16:.+]] = shl nuw nsw i32 1, %[[SHIFT_AMOUNT]]
+    // CHECK: ret i32 %[[POW16]]
+    16u32.pow(exp)
+}