SimpleVectorsJS

SimpleVectorsJS is a library to make working with vectors in Node JS easy, including all standard vector operations and properties for n-dimension vectors

Installation

npm install simplevectorsjs

Usage

Creating a vector

let { Vector, VectorConstants } = require("simplevectorsjs");

let a = new Vector(2, 0.5); //Create a new vector with components <-1, -1>
let b = new Vector();
b.fromMagnitudeAngle2D(10, Math.PI); //Set this vector from a magnitude and a direction (2D only)
let c = new Vector();
c.fromTwoPoints([0,0,0],[-2,2,1]); //Set this vector from two points

Basic vector operations

let d = a.add(b); //Add b to a
console.log("a+b: ", d.toString());

d = a.subtract(b); //Subtract b from a
console.log("a-b: ", d.toString());

d = b.multiply(5); //Multiply a by a scalar
console.log("5*b: ", d.toString());

Getting the direction/unit vector and changing the vector's magnitude

d = a.unit(); //Get the unit vector
d = d.multiply(10); //And scale to 5

//OR, set the magnitude of the vector:
//d = a.getCopy(); //Get a copy of the vector
//d.magnitude = 5;
console.log("5*(a/|a|): ", d.toString()); 

More vector operations

d = c.cross(new Vector(-1,2,1));
console.log("c x <-1, 2, 1>: ", d.toString());

let e = a.dot(b);
console.log("a•b: ", e);

e = c.tripleScalarProduct(new Vector(1,2,0), new Vector(-2,0,1));
console.log("c•(<1,2,0> x <-2,0,1>): ", e);

e = a.scal(b); //Scalar projection of b onto a
console.log("Scal_a b: ", e);

d = a.proj(b); //Vector projection of b onto a
console.log("Vect_a b: ", d.toString());

e = b.angle(a); //Angle between a and b
console.log("Absolute angle between a and b: ", e);

e = a.angle(VectorConstants.D2.i); //Angle between b and positive x-axis
console.log("Absolute angle between a and positive x-axis (i): ", e);

Vector properties

console.log("Magnitude of a: ", a.magnitude);
console.log("Number of components in a: ", a.size);
console.log("Is unit vector? a/|a|: ", a.multiply(1/a.magnitude).isUnit());
console.log("Is equal vector? a/|a|==a: ", a.unit().isEqual(a));

License

Copyright 2020 Alex Mous

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

Documentation

Simplevectors

• Simplevectors
  • .Vector
    • new Vector(...components)
    • static
      • .Vector#magnitude : number
      • .Vector#size : number
      • .Vector#magnitude : number
    • inner
      • ~fromMagnitudeAngle2D(magnitude, angle)
      • ~fromMagnitudeAngle2D(point1, point2)
      • ~unit() ⇒ Vector
      • ~multiply(k) ⇒ Vector
      • ~add(vect) ⇒ Vector
      • ~subtract(vect) ⇒ Vector
      • ~cross(vect) ⇒ Vector
      • ~proj(vect)
      • ~getCopy() ⇒ Vector
      • ~dot(vect) ⇒ number
      • ~tripleScalarProduct(vect1, vect2) ⇒ number
      • ~angle(vect) ⇒ number
      • ~scal(vect) ⇒ number
      • ~toString() ⇒ string
      • ~isUnit() ⇒ boolean
      • ~isEqual(vect) ⇒ boolean
  • .VectorConstants : VectorConstants

Simplevectors.Vector

Simplevectors is a library to make working with vectors in Node JS easy, including all standard vector operations and properties for n-dimension vectors

Kind: static class of Simplevectors

• .Vector
  • new Vector(...components)
  • static
    • .Vector#magnitude : number
    • .Vector#size : number
    • .Vector#magnitude : number
  • inner
    • ~fromMagnitudeAngle2D(magnitude, angle)
    • ~fromMagnitudeAngle2D(point1, point2)
    • ~unit() ⇒ Vector
    • ~multiply(k) ⇒ Vector
    • ~add(vect) ⇒ Vector
    • ~subtract(vect) ⇒ Vector
    • ~cross(vect) ⇒ Vector
    • ~proj(vect)
    • ~getCopy() ⇒ Vector
    • ~dot(vect) ⇒ number
    • ~tripleScalarProduct(vect1, vect2) ⇒ number
    • ~angle(vect) ⇒ number
    • ~scal(vect) ⇒ number
    • ~toString() ⇒ string
    • ~isUnit() ⇒ boolean
    • ~isEqual(vect) ⇒ boolean

new Vector(...components)

Vector class

Param	Type	Description
...components	number	Components of the vector to construct

Vector.Vector#magnitude : number

Get the magnitude of the vector

Kind: static property of Vector

Vector.Vector#size : number

Get the number of components of the vector

Kind: static property of Vector

Vector.Vector#magnitude : number

Set the new magnitude

Kind: static property of Vector

Vector~fromMagnitudeAngle2D(magnitude, angle)

Set this vector from magnitude and angle from positive x-axis in 2D

Kind: inner method of Vector

Param	Type	Description
magnitude	number	Magnitude
angle	number	Angle (radians)

Vector~fromMagnitudeAngle2D(point1, point2)

Set this vector from the difference between two points

Kind: inner method of Vector

Param	Type	Description
point1	Array.<number>	Point 1 (array of distance in each dimension)
point2	Array.<number>	Point 2 (same number of dimensions as Point 1)

Vector~unit() ⇒ Vector

Unit vector

Kind: inner method of Vector
Returns: Vector - The unit vector

Vector~multiply(k) ⇒ Vector

Scalar multiplication

Kind: inner method of Vector
Returns: Vector - Scaled vector

Param	Type	Description
k	number	Scalar k to multiply vector by

Vector~add(vect) ⇒ Vector

Add vect to this vector

Kind: inner method of Vector
Returns: Vector - New vector

Param	Type	Description
vect	Vector	Vector to add to this

Vector~subtract(vect) ⇒ Vector

Subtract vect from this vector

Kind: inner method of Vector
Returns: Vector - Difference between this and vect

Param	Type	Description
vect	Vector	Vector to subtract from this

Vector~cross(vect) ⇒ Vector

Cross product (3D vectors) of vect with this vector (this x vect)

Kind: inner method of Vector
Returns: Vector - The cross product vector

Param	Type	Description
vect	Vector	Vector to do a cross product with

Vector~proj(vect)

Vector projection of vect onto this vector

Kind: inner method of Vector

Param	Type
vect	Vector

Vector~getCopy() ⇒ Vector

Get a copy of this vector

Kind: inner method of Vector
Returns: Vector - A copy of this vector

Vector~dot(vect) ⇒ number

Dot product

Kind: inner method of Vector
Returns: number - The dot product of the two vectors

Param	Type	Description
vect	Vector	Vector to do a dot product with

Vector~tripleScalarProduct(vect1, vect2) ⇒ number

Get the triple scalar product of this vector, vect1 and vect2 (this•(vect1 x vect2))

Kind: inner method of Vector
Returns: number - Triple scalar product

Param	Type	Description
vect1	Vector	First vector
vect2	Vector	Second vector

Vector~angle(vect) ⇒ number

Angle between this vector and vect (0 <= angle <= PI)

Kind: inner method of Vector
Returns: number - Angle (0 <= theta <= PI)

Param	Type	Description
vect	Vector	Vector to calculate angle between

Vector~scal(vect) ⇒ number

Scalar projection of vect onto this vector

Kind: inner method of Vector
Returns: number - Projection

Param	Type
vect	Vector

Vector~toString() ⇒ string

Get the string representation of the vector

Kind: inner method of Vector
Returns: string - Vector as a string

Vector~isUnit() ⇒ boolean

Is this a unit vector?

Kind: inner method of Vector

Vector~isEqual(vect) ⇒ boolean

Is this the same as vect?

Kind: inner method of Vector

Param	Type
vect	Vector

Simplevectors.VectorConstants : VectorConstants

Kind: static constant of Simplevectors