add vector sdk

[jairad26]

Vectors Package

This pull request introduces the vectors sdk class for both assemblyscript and golang

Key Features

• Basic Arithmetic: Functions to add, subtract, multiply, and divide vectors, as well as operations with scalar values.
• Dot Product and Magnitude: Computation of the dot product between two vectors and determination of a vector's magnitude.
• Normalization and Distance: Capabilities to normalize vectors and calculate Euclidean distances.
• Aggregations: Functions to compute the sum, product, minimum, and maximum of vector elements.
• Utilities: Additional features such as absolute value computation and input validation.

List of Functions

1. Add(a, b): Adds two vectors.
2. AddInPlace(a, b): Adds two vectors, storing the result in the first vector.
3. Subtract(a, b): Subtracts vector b from vector a.
4. SubtractInPlace(a, b): Subtracts vector b from vector a, storing the result in vector a.
5. AddNumber(a, b): Adds a scalar number b to each element of vector a.
6. AddNumberInPlace(a, b): Adds a scalar number b to each element of vector a, in place.
7. SubtractNumber(a, b): Subtracts a scalar number b from each element of vector a.
8. SubtractNumberInPlace(a, b): Subtracts a scalar number b from each element of vector a, in place.
9. MultiplyNumber(a, b): Multiplies each element of vector a by a scalar number b.
10. MultiplyNumberInPlace(a, b): Multiplies each element of vector a by a scalar number b, in place.
11. DivideNumber(a, b): Divides each element of vector a by a scalar number b.
12. DivideNumberInPlace(a, b): Divides each element of vector a by a scalar number b, in place.
13. Dot(a, b): Computes the dot product of vectors a and b.
14. Magnitude(a): Computes the magnitude of vector a.
15. Normalize(a): Normalizes vector a to have a magnitude of 1.
16. Sum(a): Computes the sum of all elements in vector a.
17. Product(a): Computes the product of all elements in vector a.
18. Mean(a): Computes the mean of all elements in vector a.
19. Min(a): Finds the minimum element in vector a.
20. Max(a): Finds the maximum element in vector a.
21. Abs(a): Computes the absolute value of each element in vector a.
22. AbsInPlace(a): Computes the absolute value of each element in vector a, in place.
23. EuclidianDistance(a, b): Computes the Euclidean distance between vectors a and b.

Usage

To utilize these functions, import the vectors package into your project and invoke the desired functions with appropriate numerical arguments.

[linear]

HYP-2276 add vectors class with helper functions in sdks