Vectors2D

It's a small module called to facilitate work with vectors in Python. Adds class Vector2D and operations with vectors in 2 dimensions. All functions take Vector2D. They also take tuples or lists of int or float with len == 2. Vectors can be added, subbed, multiplied by other vector or by int/float and more. You can find all the functions of the module below.

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Installing

Simply run pip install vectors2d from your command line.

Class:

Vector2D : takes ints, floats, tuple, list when creating. If not given, creates zero vector (0;0). If given only one number, assigns it to "x" coordinate. Also can take other Vector2D object.

Class methods:

1. is_zero() : check if vector is a zero vector.
2. is_parallel_to(vector) : check if the vector is parallel to the given vector. Takes Vector2D, list ot tuple.
3. is_perpendicular_to(vector) : check if the vector is perpendicular to the given vector. Takes Vector2D, list ot tuple.
4. is_codirectional_to(vector) : check if vector is co-directional to the given vector. Takes Vector2D, list ot tuple.

Global functions:

1. absolute_vector(vector) : calculates an absolute value of given vector. Takes Vector2D object, list or tuple. Returns float;
2. sum_vectors(*vectors) : returns the sum of all the given vectors. Takes Vector2D objects, lists and tuples in any combination. Returns Vector2D;
3. sub_vectors(*vectors) : returns the subtraction of all the given vectors. Takes Vector2D objects, lists and tuples in any combination. Returns Vector2D;
4. mult_vector(vector, multiplier) : returns the multiplication of the given vector by the given number (can be int or float). "vector" takes Vector2D object, list and tuple as vector; "multiplier" takes int and float as multiplier. Returns Vector2D;
5. scalar_mult_vectors(vectors*) : calculates a scalar multiplication of the given vectors. Takes Vector2D objects, lists and tuples in any combination. Returns float;
6. get_angle(vector1, vector2) : returns the angle between the two given vectors in radians. Takes Vector2D objects, lists and tuples in any combination. Returns float;
7. vector_from_dots(dot1, dot2) : calculates a vector from the two given dots. Returns Vector2D.

Examples:

1. Creating vectors

   >>> a = Vector2D(1)  # unit vector a(1;0)
   >>> b = Vector2D(3, 5)  # vector b(3;5)
   >>> c = Vector2D(list)  # vector from list or tuple (must have length 2)
   >>> d = Vector2D(a)  # creates a vector with the same coordinates as the vector a has.
   

2. Getting vector's coorinates

   1. As a list:

      >>> a()  # get list of the vector's coordinates
      Output: [1, 0]  
      

      You can use vector.vector for the same result

   2. Getting exact vector's coordinate:

      >>> a[0]  # get the "x" coorinate of the vector a
      Output: 1
      
      >>> b[1]  # get the "y" coordinate of the vector b
      Output: 5
      

      Values also can be changed this way

   3. Getting a negative vector:

      >>> a = Vector2D(3, 2)
      >>> b = -a
      >>> b()
      Output: [-3, -2]
      

3. Getting a magnitude (an absolute value) of a vector

   >>> abs(a)  # using native Python function
   Output: 1.0
   >>> abs(b)
   Output: 5.830951894845301
   

   Inner function for absolute value is absolute_vector(vector):

   >>> absolute_vector(a)  # using the function from the module
   Output: 1.0
   >>> absolute_vector(b)
   Output: 5.830951894845301
   

4. Operations with vectors

   1. Addition

      >>> c = a + b  # using the mathematical operator  # returns Vector2D
      >>> c()
      Output: [4, 5]
      

      Inner function for addition is sum_vectors(*vectors):

      >>> c = sum_vectors(a, b)  # using the function of the module  # returns Vector2D
      >>> c()
      Output: [4, 5]
      

      You can use += with another vector to change the vector directly:

      >>> a += b  # adding b to a and assigning result to a
      >>> a()
      Output: [4, 5]
      

   2. Subtraction

      >>> c = b - a  # using the mathematical operator  # returns Vector2D
      >>> c()
      Output: [2, 5]
      

      Inner function for substraction is sub_vectors(*vectors):

      >>> c = sub_vectors(b, a)  # using the function of the module  # returns Vector2D
      >>> c()
      Output: [2, 5]
      

      You can use -= with other vector to change vector directly

   3. Multiplication

      1. By other vector:

      >>> a * b  # scalar multiplication of the vectors using mathematical operator
      Output: 3.0  # returns float
      

      Inner function for scalar multiplication is scalar_mult_vectors(*vectors):

      >>> scalar_mult_vectors(a, b)  # using function of the module
      Output: 3.0
      

      Note that while you are using mathematical operators to multiply vectors you can't use it more than once in a row, because you can't multiply float by Vector2D:

      >>> a * b * c
      Output:
         TypeError: unsupported operand type(s) for *: 'float' and 'Vector2D'
      

      Code a * (b * c) will multiply the vector a by a cross product of the vectors b and c. If you need to get cross product of more than two vectors at once, you must use scalar_mult_vectors(a, b, c) instead.

      2. By number:

      >>> c = b * 2  # using mathematical operator  # returns Vector2D
      >>> c()
      Output: [6, 10]
      

      Inner function for multiplication by number is mult_vector(vector, modifier):

      >>> c = mult_vector(b, 3)  # returns Vector2D
      >>> c()
      Output: [9, 15]
      

      You can use *= only with other vector to change vector directly

   4. Getting angle between vectors:

      >>> get_angle(a, b)  # returns angle between vectors in radians
      Output: 1.0303768265243125
      

      Returns angle in radians

5. Boolean operations

   1. Check if vector is zero vector:

      >>> a = Vector2D(0, 0)
      >>> a.is_zero()
      Output: True
      
      >>> b = Vector2D(1, 2)
      >>> b.is_zero()
      Output: False
      

   2. Check if vector is parallel with other vector:

      >>> a = Vector2D(1, 0)
      >>> b = Vector2D(-3, 0)
      >>> a.is_parallel_to(b)  # takes Vector2D, list or tuple
      Output: True
      
      >>> c = Vector2D(3, 7)
      >>> c.is_parallel_to(b)
      Output: False
      

   3. Check if vector is perpendicular with other vector:

      >>> a = Vector2D(3, 0)
      >>> b = Vector2D(0, 4)
      a.is_perpendicular_to(b)
      Output: True
      
      >>> c = Vector2D(1, 5)
      >>> c.is_perpendicular_to(b)
      Output: False
      

TODO list:

• Two-dimensional vector class
• Vector operations
  • Sum
  • Sub
  • Mult by number
  • Scalar multilpication with vector
  • Power by number
• Vector calculations
  • Absolute value - absolute_vector()
  • Angle between vectors - get_angle()
  • Vector from two dots - vector_from_dots()
  • Is zero - vector.is_zero()
  • Is (not) parallel - vector.is_parallel_to()
  • Is perpendicular - vector.is_perpendicular_to()
  • Is co-directional - vector.is_codirectional_to()
• Assignment operations
  • +=
  • -=
  • *= (only for numbers)
  • **=
  • /= (only for numbers)
• Other
  • Negative vector