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Informations about the package php-math-vector

PHP-Math-Vector

A math library for handling vectors.

1. Features

PHP-Math-Vector handles 2-dimensional vectors and 3-dimensional vectors.

PHP-Math-Vector can:

2. Contents

3. Requiremnets

4. Installation

5. Usage

5.1. Two-dimensional Vectors

To handle two-dimensional vectors, create instances of Vector2d class at first.

5.1.1. Instantiation

Vector2d class needs initialPoint and components as arguments.

Now, you can handle the two-dimensional vectors $a and $b.

5.1.2. Length (Magnitude)

To get the length (magnitude) of the vector, use length() or magnitude() methods.

Note: Actually, the length() method is an alias of the magnitude() method.

5.1.3. Components

To get components of the vector, use the components() method.

5.1.4. Initial and Terminal points

To get initial point or terminal poinnt, use the initialPoint() or terminalPoint() method.

5.1.5. Unit vector

To get unit vectors, use the unitVector() method.

This method returns a new vector, and the original vector remains in its original state.

5.1.6. Multiplying by a real number

To multiply the vector by a real number, use the multiply() method.

This method returns a new vector, and the original vector remains in its original state.

5.1.7. Adding two vectors

To perform (vector a) + (vector b), use the add() method of the former vector ($a in this case), and set the latter vector as a parameter of this method ($b in this case). This returns a new vector that has the initial point of the former vector and whose components are the sum of the components of both vectors.

The former vector ($a in this case) and the latter vector ($b in this case) remain in their original state.

5.1.8. Subtracting one vector from another

To perform (vector a) - (vector b), use the subtract() method of the former vector ($a in this case), and set the latter vector as a parameter of this method ($b in this case). This returns a new vector that has the initial point of the former vector and whose compoents are the components obtained by subtracting the latter vector from the former vector.

The former vector ($a in this case) and the latter vector ($b in this case) remain in their original state.

5.1.9. Dot product

To get the dot product of two vectors, use dotProduct() method.

The result is the same for the methods in either vector.

5.1.10. Cosine

To get the cosine of the angle between two vectors, use cos() method.

The result is the same for the methods in either vector.

If the argument is omitted, the cosine of the angle with the x-axis is returned.

5.1.11. Angle

To get the angle between two vectors, use degrees() or radian() method.

The result is the same for the methods in either vector.

If the argument is omitted, the angle made with the x-axis is returned.

5.1.12. Rotation

To get a rotated vector, use rotate() method.

Pass degrees to rotate as an argument.

5.2. Three-dimensional Vectors

To handle three-dimensional vectors, create instances of Vector3d class at first.

5.2.1 Instantiation

Vector3d class needs initialPoint and components as arguments.

Now, you can handle the three-dimensional vectors $a and $b.

5.2.2. Length (Magnitude)

To get the length (magnitude) of the vector, use length() or magnitude() methods.

Note: Actually, the length() method is an alias of the magnitude() method.

5.2.3. Components

To get components of the vector, use the components() method.

5.2.4. Initial and Terminal Points

To get initial point or terminal poinnt, use the initialPoint() or terminalPoint() methods.

5.2.5. Unit Vector

To get unit vectors, use the unitVector() method.

This method returns a new vector, and the original vector remains in its original state.

5.2.6. Multiplying by a real number

To multiply the vector by a real number, use the multiply() method.

This method returns a new vector, and the original vector remains in its original state.

5.2.7. Adding two vectors

To perform (vector a) + (vector b), use the add() method of the former vector ($a in this case), and set the latter vector as a parameter of this method ($b in this case).

This returns a new vector that has the initial point of the former vector and whose components are the sum of the components of both vectors.

The former vector ($a in this case) and the latter vector ($b in this case) remain in their original state.

5.2.8. Subtracting one vector from another

To perform (vector a) - (vector b), use the subtract() method of the former vector ($a in this case), and set the latter vector as a parameter of this method ($b in this case). This returns a new vector that has the initial point of the former vector and whose compoents are the components obtained by subtracting the latter vector from the former vector.

The former vector ($a in this case) and the latter vector ($b in this case) remain in their original state.

5.2.9. Dot product

To get the dot product of two vectors, use dotProduct() method.

The result is the same for the methods in either vector.

5.2.10. Cross product

To get the cross product of two vectors, use crossProduct() method.

The result is the same for the methods in either vector.

This method returns a new vector, and the both original vectors remain in their original state.

5.2.11. Cosine

To get the cosine of the angle between two vectors, use cos() method.

The result is the same for the methods in either vector.

If the argument is omitted, the cosine of the angle with the xy-plane is returned.

5.2.12. Angle

To get the angle between two vectors, use degrees() or radian() method.

The result is the same for the methods in either vector.

If the argument is omitted, the angle made with the xy-plane is returned.

5.2.13. Rotation

To get a rotated vector around a vector, use rotate() method.

Pass a vector of rotation axis, and degrees to rotate as an argument.

This method returns a new vector, and the both original vectors remain in their original state.

6. Examples

7. LICENSE

MIT

Copyright 2024 - 2025 macocci7.

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