[H-2] Lack of Accuracy in sqrt Function

The LibMath::sqrt function in the LibMath contract lacks accuracy when computing the square root of large numbers, resulting in incorrect results. This could lead to unexpected behavior or exploitation if precise square roots are required.

Vulnerability Details

The vulnerability arises due to the inaccurate computation of square roots in the LibMath::sqrt function of the LibMath contract. The algorithm used in the function does not provide precise results for numbers greater than 11 digits, leading to discrepancies between the computed result (cr) and the actual result (ar).

Example Values:

• Value 1: 49431073560

  • Computed Result (cr): 222330

  • Actual Result (ar): 222331

• Value 2: 2488619831000

  • Computed Result (cr): 1577535

  • Actual Result (ar): 1577536

• Value 3: 24886640030

  • Computed Result (cr): 157755

  • Actual Result (ar): 157755

Impact

The lack of accuracy in computing square roots could have various impacts depending on the context of the contract. Inaccurate results may lead to incorrect calculations, affecting the integrity and functionality of systems relying on precise mathematical operations.

Recommendations

To address this vulnerability, it's recommended to improve the accuracy of the square root calculation algorithm. One potential solution is to modify the algorithm to ensure more precise results for numbers greater than 11 digits.

By making this modification, the function will compute more accurate square roots, reducing the likelihood of incorrect results and potential vulnerabilities.

Additionally, it's advisable to thoroughly test the modified function with various input values to ensure accuracy and reliability in different scenarios.