bit-shift-right

Function Signature

(bit-shift-right i1 shamt)

• Input:
  • i1: An integer (int or uint)
  • shamt: A uint representing the number of places to shift
• Output: An integer of the same type as i1 (int or uint)

Why it matters

The bit-shift-right function is crucial for:

1. 1Performing efficient division by powers of 2.
2. 2Implementing certain bitwise algorithms and data structures.
3. 3Manipulating binary data at the bit level.
4. 4Extracting specific bit patterns from integers.

When to use it

Use the bit-shift-right function when you need to:

• Divide a number by a power of 2 efficiently.
• Implement certain cryptographic or hashing algorithms.
• Perform low-level data manipulations involving binary operations.
• Extract specific bits or bit patterns from integers.

Best Practices

• Be aware that shifting right by n bits is equivalent to integer division by 2^n.
• Remember that for signed integers (int), the sign bit is preserved during right shifts.
• Use uint for shamt to avoid potential issues with negative shift amounts.
• Consider the differences in behavior between signed and unsigned integers when right-shifting.

Practical Example: Efficient Power of 2 Division

Let's implement a function that efficiently divides by powers of 2 using bit-shift-right:

(define-read-only (divide-by-power-of-2 (value int) (power uint))
  (bit-shift-right value power)
)

(define-read-only (extract-lowest-bits (value uint) (numBits uint))
  (bit-and value (- (bit-shift-left u1 numBits) u1))
)

;; Usage
(divide-by-power-of-2 128 u3) ;; Returns 16 (128 / 2^3)
(divide-by-power-of-2 -128 u3) ;; Returns -16 (-128 / 2^3)
(extract-lowest-bits u171 u4) ;; Returns u11 (binary: 1011)

This example demonstrates:

1. 1Using bit-shift-right for efficient division by powers of 2.
2. 2Handling both positive and negative numbers in division.
3. 3Combining bit-shift-right with other bitwise operations to extract specific bit patterns.

Common Pitfalls

1. 1Forgetting that right-shifting signed integers preserves the sign bit.
2. 2Not considering the modulo behavior when shifting by amounts greater than or equal to 128.
3. 3Using a negative or non-uint value for the shift amount, which is not allowed.

Related Functions

• bit-shift-left: Used for left-shifting bits.
• bit-and: Often used in combination with bit-shift-right for masking operations.
• /: Used for general division, but less efficient for powers of 2 compared to bit shifting.

Conclusion

The bit-shift-right function is a powerful tool for bitwise operations in Clarity smart contracts. This function enables efficient division by powers of 2 and is essential for extracting specific bit patterns and implementing various bitwise algorithms. However, be mindful of the differences between signed and unsigned integers when using this function, as well as its behavior with large shift amounts.