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# Kotlin Shift Left

The `shl` (shift left) operator is an infix function in Kotlin that performs a bitwise left shift operation. It shifts the binary representation of the left-hand operand to the left by the number of bit positions specified by the right-hand operand.

During this operation, the vacated bit positions on the right (least significant bits) are filled with zeros, and the bits shifted beyond the left boundary (most significant bits) of the data type are discarded. Mathematically, `x shl n` is equivalent to multiplying `x` by $2^n$, assuming no arithmetic overflow occurs.

## Syntax and Signatures

In Kotlin, bitwise operators are not built-in language symbols (like `<<` in Java or C++) but are implemented as named infix functions. The `shl` function is defined for signed integers, unsigned integers, and `java.math.BigInteger` (via standard library extensions):

```kotlin theme={"dark"}
infix fun Int.shl(bitCount: Int): Int
infix fun Long.shl(bitCount: Int): Long
infix fun UInt.shl(bitCount: Int): UInt
infix fun ULong.shl(bitCount: Int): ULong
infix fun BigInteger.shl(n: Int): BigInteger
```

## Bitwise Visualization

```kotlin theme={"dark"}
val original = 5       // Binary (32-bit): 00000000 00000000 00000000 00000101
val shifted = 5 shl 2  // Binary (32-bit): 00000000 00000000 00000000 00010100
                       // Decimal result: 20
```

## Technical Characteristics

**1. Operand Masking**
To prevent shifting by a value greater than or equal to the bit-width of the type, Kotlin masks the right-hand operand (`bitCount`) at the hardware level for standard integer types:

* **For `Int` and `UInt` (32-bit):** The shift distance is masked with `31` (binary `11111`). Therefore, `x shl 32` is equivalent to `x shl 0`, and `x shl 33` is equivalent to `x shl 1`.
* **For `Long` and `ULong` (64-bit):** The shift distance is masked with `63` (binary `111111`). Therefore, `y shl 64` is equivalent to `y shl 0`.

```kotlin theme={"dark"}
val x = 1
val result1 = x shl 33 // Evaluates to 2 (1 shl 1)
```

**2. Type Restrictions and Explicit Conversion**
Kotlin does not provide a `shl` function for smaller integer types like `Byte`, `Short`, `UByte`, or `UShort`, and it does not perform implicit widening conversions to resolve member or extension functions. Attempting to use `shl` directly on these types will result in a compiler error (`Unresolved reference: shl`). Explicit conversion to `Int` or `UInt` is strictly required before applying the operator.

```kotlin theme={"dark"}
val b: Byte = 3
// val error = b shl 4            // Compiler error: Unresolved reference: shl
val result: Int = b.toInt() shl 4 // Explicit conversion is strictly required
```

**3. Precedence**
As a named infix function, `shl` shares the same precedence level as other bitwise operations (`shr`, `ushr`, `and`, `or`, `xor`). This precedence is lower than standard arithmetic operators (`+`, `-`, `*`, `/`) but higher than comparison operators (`==`, `>`, `<`).

```kotlin theme={"dark"}
val result = 1 shl 2 + 3 // Evaluates as 1 shl (2 + 3) -> 1 shl 5 -> 32
```

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