python-and-js-tools-and-codes

math

These are some math functions and classes useful while programming. It is written in 2 programming languages- JavaScript and Python. The Python version yet lacks the expression class, but it is planned for future. A C++ version is also planned for future.
Tutorial:

1. JavaScript

vec3 class
This class is built for working with vectors with 3 components, making it useful while working with things like WebGL.

vector = new vec3(x, y, z); // Initialisation
magnitude = vector.magnitude() // Returns the magnitude of vector

coord3 class
This class is built for working with spherical coordinates, making it useful while working with things like physics.

coordinate = new coord3(r, xyangle, zangle); // Initialisation

Methods to convert vec3 to coord3 and vice versa

vec3(x, y, z).toCoord3(); //polar coordinate to spherical coordinate
coord3(r, xyangle, zangle).toVec3(); //spherical coordinate to polar coordinate

vector3 object
Contains methods for calculating vectors

vector3.add(/*unlimited arguments, all vec3*/); //Adds all arguments, and returns result vec3
vector3.dotmultiply(v1, v2); //Returns the dot product of v1 and v2
vector3.angle(v1, v2); //Returns the angle between v1 and v2
vector3.crossmultiply(v1, v2); //Returns an object, of which "magnitude" property contains magnitude of v1 to v2 cross product vector and "vector" property contains v1 to v2 cross product vector

expression class
This is another class, but since it uses Function class, it lacks code security, though I have tried to make it as good as possible by blocking certain characters. For now, let us leave with one example.

new expression("2*u + sin(v) -11").evaluateFor(["u = 5", "v = _pi_/2"]) // = 0

2. Python

vec3 class
This class is built for working with vectors with 3 components, making it useful while working with things like PyOpenGL.

vector = vec3(x, y, z) # Initialisation
displayvector = vector.stringify() # Returns a string, which arranges the components of the vector in the format it is displayed by JavaScript
magnitude = vector.magnitude() # Returns the magnitude of vector

coord3 class
This class is built for working with spherical coordinates, making it useful while working with things like physics.

coordinate = coord3(r, xyangle, zangle) # Initialisation
displayvector = coordinate.stringify() # Returns a string, which arranges the components of the coordinate in the format it is displayed by JavaScript

Methods to convert vec3 to coord3 and vice versa

vec3(x, y, z).toCoord3() #polar coordinate to spherical coordinate
coord3(r, xyangle, zangle).toVec3() #spherical coordinate to polar coordinate

vector3() method
Contains various tools for calculating vectors

vector3("add", \ #unlimited arguments, all vec3
) #Adds all vec3 arguments, and returns result vec3
vector3("dotmultiply", v1, v2) #Returns the dot product of v1 and v2
vector3("angle", v1, v2) #Returns the angle between v1 and v2
vector3("crossmultiply", v1, v2) #Returns a dictionary, of which "magnitude" property contains magnitude of v1 to v2 cross product vector, "vector" property contains v1 to v2 cross product vector,
vector3("crossmultiply", v1, v2)["display"] #and display property containing "magnitude" as magnitude of v1 to v2 cross product vector and "vector" property contains stringified form of v1 to v2 cross product vector

TODO: Replace many of these with operator overloads (possibly as an alias)