Question 1

How to solve cubic equations with Complex.js?

Accepted Answer

Complex.js handles complex roots for quadratic equations directly, but for cubic equations, you need RootFinder.js, which builds on Complex.js, as mentioned in the README. It's designed for foundational arithmetic, not higher-level root finding.

Question 2

Complex.js or Math.js for complex numbers?

Accepted Answer

Complex.js is a specialized, lightweight library focused solely on complex arithmetic with a small footprint, while Math.js is a broader math library that includes complex numbers but adds matrices, units, and more. Choose based on whether you need depth or breadth.

Question 3

How to handle branch cuts in inverse trig functions with Complex.js?

Accepted Answer

The library uses textbook conventions for branch cuts, but functions like acot have jumps on the negative real axis, as detailed in the README. For critical applications, review the documentation and test edge cases to avoid surprises.

Question 4

Best way to parse complex numbers from JSON data using Complex.js?

Accepted Answer

Use the flexible parsing to pass objects or strings directly. For JSON objects, ensure they have 're' and 'im' properties, but note that extra attributes won't be preserved, so you may need to merge them manually after instantiation.

Question 5

Is Complex.js fast enough for real-time graphics?

Accepted Answer

For basic 2D vector rotations and transformations, it's efficient due to optimized arithmetic. However, in performance-critical loops with many operations, consider the overhead of JavaScript object creation and lack of vectorization.

Question 6

How to rotate a vector around a point with Complex.js?

Accepted Answer

Subtract the point from the vector to get a relative position, multiply by a complex number with abs 1 and arg angle to rotate, then add back the point, as shown in the geometric equivalence section of the README.

Complex.js

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