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Script: Math {#Math}

The Math script provides Vec3, Mat4 and Quat classes to manage three dimensional vectors, four by four matrices and quaternions respectively.

Generics:

One very interesting thing to point about the Math script is that all Vec3, Mat4 and Quat methods are generics. This means that all instance methods of Vec3, Mat4, and Quat can also be accessed as static methods in which the first parameter of the static method is the receiver. The receiver does not have to be an instance of the class but can instead be a Vec3-like, Mat4-like or Quat-like object. This means that a simple array (i.e []) can be used as the receiver for these methods.

Although the syntax section for each method will include the generic and non-generic one, the arguments for each method will be described as with the instance method syntax.

Chainable Methods:

All methods that do not return something in particular in the math package are chainable.

Conventions:

Say you want to add two Vec3 vectors, v1 and v2. Then there are three ways of performing this operation:

v1.add(v2) Returns a new class with the result of adding v1 and v2. This operation does not modify v1 or v2.
v1.$add(v2) Returns the result of adding v1 to v2, but it alters v1 updating it with the result.
vResult.add2(v1, v2) Stores the result of adding v1 to v2 in vResult, another Vec3 instance.

These are the conventions we will be using for method naming. Methods altering the receiver will have a dollar sign (i.e. $), as opposed to methods creating a new instance with the result. Methods requiring a receiver and the instances involved in the operation as formal parameters will be suffixed with the number 2.

Notes:

New from version 1.3:

All classes now extend from Array or some DataView class (i.e. some typed array). This means that Vec3, Mat4 and Quat-like objects are now plain arrays and not plain objects. I have added getters for all properties in Vec3, Mat4 and Quat classes so you can still access them via vec.x, etc, but remember that the inner implementation is now an array, so vec3[0] will also work. The examples have been updated to reflect this.

This implementation changes the signature for some methods and probably if you used object literals for Vec3, Mat4 and Quat classes these things will have to be changed into arrays. The good thing about this is a noticeable boost in performance everywhere in the library, and in particular in the math functions. More information about this can be found in my blog.

Class: Vec3 {#Vec3}

A class to handle three dimensional vectors.

Vec3 Static Method: fromQuat {#Vec3:fromQuat}

Create a new Vec3 instance from the x, y, z coordinates of a Quat.

Syntax:

PhiloGL.Vec3.fromQuat(q);

Arguments:

q - (object) A Quat instance.

Examples:

Create a vector from a Quaternion.

{% highlight js %} var q = new PhiloGL.Quat(1, 2, 3, 4), v = PhiloGL.Vec3.fromQuat(q); //Vec3(1, 2, 3) {% endhighlight %}

Vec3 Method: constructor {#Vec3:constructor}

Creates a new Vec3 instance.

Syntax:

var v = new PhiloGL.Vec3(x, y, z);

Arguments:

x - (number, optional) The x component. If not provided is 0.
y - (number, optional) The y component. If not provided is 0.
z - (number, optional) The z component. If not provided is 0.

Examples:

Create a (0, 0, 0) vector.

{% highlight js %} var v = new PhiloGL.Vec3(); {% endhighlight %}

Create a (1, 2, 3) vector.

{% highlight js %} var v = new PhiloGL.Vec3(1, 2, 3); {% endhighlight %}

Vec3 Method: setVec3 {#Vec3:setVec3}

Set x, y, z coordinates of one Vec3 into another Vec3.

Syntax:

v1.setVec3(v2);

PhiloGL.Vec3.setVec3(v1, v2);

Arguments:

v2 - (object) A Vec3 instance.

Examples:

Create two vectors and assign one vectors components to the other one.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3), v2 = new PhiloGL.Vec3(4, 5, 6);

v1.setVec3(v2); //v1 now contains (x=4, y=5, z=6) {% endhighlight %}

Set an object's x, y, z components to another object.

{% highlight js %} var v1 = [], v2 = [ 4, 5, 6 ];

PhiloGL.Vec3.setVec3(v1, v2); //v1 now has [4, 5, 6] {% endhighlight %}

Vec3 Method: set {#Vec3:set}

Set x, y, z coordinates.

Syntax:

v1.set(x, y, z);

PhiloGL.Vec3.set(v1, x, y, z);

Arguments:

x - (number) The x coordinate.
y - (number) The y coordinate.
z - (number) The z coordinate.

Examples:

Create two vectors and assign one vectors components to the other one.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3), v2 = new PhiloGL.Vec3(4, 5, 6);

v1.set(v2.x, v2.y, v2.z); //v1 now contains (x=4, y=5, z=6) {% endhighlight %}

Set an object's x, y, z components to another object.

{% highlight js %} var v1 = [], v2 = [ 4, 5, 6 ];

PhiloGL.Vec3.set(v1, v2.x, v2.y, v2.z); //v1 now has [4, 5, 6] {% endhighlight %}

Vec3 Method: add {#Vec3:add}

Adds the x, y, z components of two Vec3 objects. Creates a new Vec3 instance and does not modify the original objects.

Syntax:

v1.add(v2);

PhiloGL.Vec3.add(v1, v2);

Arguments:

v2 - (object) A Vec3 instance.

Examples:

Create two vectors and add them.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3), v2 = new PhiloGL.Vec3(4, 5, 6);

v1.add(v2); //v1 and v2 are still the same but a new Vec3(5, 7, 9) was created. {% endhighlight %}

Create two x, y, z objects and add them.

{% highlight js %} var v1 = [ 1, 2, 3 ], v2 = [ 4, 5, 6 ];

PhiloGL.Vec3.add(v1, v2); //v1 and v2 are still the same but a new Vec3(5, 7, 9) was created. {% endhighlight %}

Vec3 Method: $add {#Vec3:$add}

Adds the x, y, z components of two Vec3 objects. Modifies the original object.

Syntax:

v1.$add(v2);

PhiloGL.Vec3.$add(v1, v2);

Arguments:

v2 - (object) A Vec3 instance.

Examples:

Create two vectors and add them.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3), v2 = new PhiloGL.Vec3(4, 5, 6);

v1.$add(v2); //v1 is now Vec3(5, 7, 9). {% endhighlight %}

Create two x, y, z objects and add them.

{% highlight js %} var v1 = [ 1, 2, 3 ], v2 = [ 4, 5, 6 ];

PhiloGL.Vec3.$add(v1, v2); //v1 is now [ 5, 7, 9 ]. {% endhighlight %}

Vec3 Method: add2 {#Vec3:add2}

Adds the x, y, z components of two Vec3 objects and stores the result in the receiver.

Syntax:

v1.add2(v2, v3);

PhiloGL.Vec3.add2(v1, v2, v3);

Arguments:

v2 - (object) A Vec3 instance.
v3 - (object) A Vec3 instance.

Examples:

Create two vectors and add them.

{% highlight js %} var v1 = new PhiloGL.Vec3(), v2 = new PhiloGL.Vec3(1, 2, 3), v3 = new PhiloGL.Vec3(4, 5, 6);

v1.add2(v2, v3); //v1 is now Vec3(5, 7, 9), v2 and v3 are unchanged. {% endhighlight %}

Create two x, y, z objects and add them.

{% highlight js %} var v1 = [], v2 = [ 1, 2, 3 ], v3 = [ 4, 5, 6 ];

PhiloGL.Vec3.add2(v1, v2, v3); //v2 and v3 are still the same but v1 is [ 5, 7, 9 ]. {% endhighlight %}

Vec3 Method: sub {#Vec3:sub}

Substracts the x, y, z components of two Vec3 objects. Creates a new Vec3 instance and does not modify the original objects.

Syntax:

v1.sub(v2);

PhiloGL.Vec3.sub(v1, v2);

Arguments:

v2 - (object) A Vec3 instance.

Examples:

Create two vectors and substract them.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3), v2 = new PhiloGL.Vec3(4, 5, 6);

v1.sub(v2); //v1 and v2 are still the same but a new Vec3(-3, -3, -3) was created. {% endhighlight %}

Create two x, y, z objects and substract them.

{% highlight js %} var v1 = [ 1, 2, 3 ], v2 = [ 4, 5, 6 ];

PhiloGL.Vec3.sub(v1, v2); //v1 and v2 are still the same but a new Vec3(-3, -3, -3) was created. {% endhighlight %}

Vec3 Method: $sub {#Vec3:$sub}

Substracts the x, y, z components of two Vec3 objects. Modifies the original object.

Syntax:

v1.$sub(v2);

PhiloGL.Vec3.$sub(v1, v2);

Arguments:

v2 - (object) A Vec3 instance.

Examples:

Create two vectors and substract them.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3), v2 = new PhiloGL.Vec3(4, 5, 6);

v1.$sub(v2); //v1 is now Vec3(-3, -3, -3). {% endhighlight %}

Create two x, y, z objects and add them.

{% highlight js %} var v1 = [ 1, 2, 3 ], v2 = [ 4, 5, 6 ];

PhiloGL.Vec3.$sub(v1, v2); //v1 is now [ -3, -3, -3 ]. {% endhighlight %}

Vec3 Method: sub2 {#Vec3:sub2}

Substracts the x, y, z components of two Vec3 objects and stores the result in the receiver.

Syntax:

v1.sub2(v2, v3);

PhiloGL.Vec3.sub2(v1, v2, v3);

Arguments:

v2 - (object) A Vec3 instance.
v3 - (object) A Vec3 instance.

Examples:

Create two vectors and substract them.

{% highlight js %} var v1 = new PhiloGL.Vec3(), v2 = new PhiloGL.Vec3(1, 2, 3), v3 = new PhiloGL.Vec3(4, 5, 6);

v1.sub2(v2, v3); //v1 is now Vec3(-3, -3, -3), v2 and v3 are unchanged. {% endhighlight %}

Create two x, y, z objects and substract them.

{% highlight js %} var v1 = [], v2 = [ 1, 2, 3 ], v3 = [ 4, 5, 6 ];

PhiloGL.Vec3.sub2(v1, v2, v3); //v2 and v3 are still the same but v1 is { x: -3, y: -3, z: -3 }. {% endhighlight %}

Vec3 Method: scale {#Vec3:scale}

Scales the Vec3 vector by a real number. Creates a new Vec3 with the scaled components.

Syntax:

v1.scale(s);

PhiloGL.Vec3.scale(v1, s);

Arguments:

s - (number) A real number to scale the Vec3.

Examples:

Create a vector and scale it by 2.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3);

v1.scale(2); //v1 is unchanged but a new Vec3(2, 4, 6) is created. {% endhighlight %}

Create an x, y, z object and scale it by 2.

{% highlight js %} var v1 = [ 1, 2, 3 ];

PhiloGL.Vec3.scale(v1, 2); //v1 is still the same but a new Vec3(2, 4, 6) was created. {% endhighlight %}

Vec3 Method: $scale {#Vec3:$scale}

Scales the Vec3 vector by a real number. Changes the original object.

Syntax:

v1.$scale(s);

PhiloGL.Vec3.$scale(v1, s);

Arguments:

s - (number) A real number to scale the Vec3.

Examples:

Create a vector and scale it by 2.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3);

v1.$scale(2); //v1 is now Vec3(2, 4, 6). {% endhighlight %}

Create an x, y, z object and scale it by 2.

{% highlight js %} var v1 = [ 1, 2, 3 ];

PhiloGL.Vec3.$scale(v1, 2); //v1 is now [ 2, 4, 6 ]. {% endhighlight %}

Vec3 Method: neg {#Vec3:neg}

Negates a Vec3. Returns a new instance.

Syntax:

v1.neg();

PhiloGL.Vec3.neg(v1);

Examples:

Create a vector and negate it.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3);

v1.neg(); //v1 is unchanged but a new Vec3(-1, -2, -3) is created. {% endhighlight %}

Create an x, y, z object and negate it.

{% highlight js %} var v1 = [ 1, 2, 3 ];

PhiloGL.Vec3.neg(v1); //v1 is still the same but a new Vec3(-1, -2, -3). {% endhighlight %}

Vec3 Method: $neg {#Vec3:$neg}

Negates a Vec3. Changes the original object.

Syntax:

v1.$neg();

PhiloGL.Vec3.$neg(v1);

Examples:

Create a vector and negate it.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3);

v1.$neg(); //v1 is now Vec3(-1, -2, -3). {% endhighlight %}

Create an x, y, z object and negate it.

{% highlight js %} var v1 = [ 1, 2, 3 ];

PhiloGL.Vec3.neg(v1); //v1 is now [ -1, -2, -3 ]. {% endhighlight %}

Vec3 Method: unit {#Vec3:unit}

Creates a unit vector from the coordinates of Vec3.

Syntax:

v1.unit();

PhiloGL.Vec3.unit(v1);

Examples:

Create a vector and make a unit vector from it.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3);

v1.unit(); //v1 is unchanged but a new unit vector Vec3 is created. {% endhighlight %}

Create an x, y, z object and make a unit vector from it.

{% highlight js %} var v1 = [ 1, 2, 3 ];

PhiloGL.Vec3.unit(v1); //v1 is still the same but a new Vec3 that is a unit vector is created. {% endhighlight %}

Vec3 Method: $unit {#Vec3:$unit}

Creates a unit vector from the Vec3 coordinates. Changes the original object.

Syntax:

v1.$unit();

PhiloGL.Vec3.$unit(v1);

Examples:

Create a vector and make a unit vector from it.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3);

v1.$unit(); //v1 is now a unit vector. {% endhighlight %}

Create an x, y, z object make a unit vector from it.

{% highlight js %} var v1 = [ 1, 2, 3 ];

PhiloGL.Vec3.$unit(v1); //v1 is now a unit vector object. {% endhighlight %}

Vec3 Method: cross {#Vec3:cross}

Makes a cross product of two Vec3 instances. Creates a new Vec3 and does not modify the original objects. You can find more information about the cross product here.

Syntax:

v1.cross(v2);

PhiloGL.Vec3.cross(v1, v2);

Arguments:

v2 - (object) A Vec3 instance.

Examples:

Create two vectors and make a cross product.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3), v2 = new PhiloGL.Vec3(4, 5, 6);

v1.cross(v2); //v1 and v2 are still the same but a new Vec3 was created with the result. {% endhighlight %}

Create two x, y, z objects and make a cross product.

{% highlight js %} var v1 = [ 1, 2, 3 ], v2 = [ 4, 5, 6 ];

//v1 and v2 are still the same but a new Vec3 with the result was created. var ans = PhiloGL.Vec3.cross(v1, v2); {% endhighlight %}

Vec3 Method: $cross {#Vec3:$cross}

Makes a cross product of two Vec3 instances. Modifies the original object. You can find more information about the cross product here.

Syntax:

v1.$cross(v2);

PhiloGL.Vec3.$cross(v1, v2);

Arguments:

v2 - (object) A Vec3 instance.

Examples:

Create two vectors and make a cross product.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3), v2 = new PhiloGL.Vec3(4, 5, 6);

v1.$cross(v2); //v1 contains now the result. {% endhighlight %}

Create two x, y, z objects and make a cross product.

{% highlight js %} var v1 = [ 1, 2, 3 ], v2 = [ 4, 5, 6 ];

//v1 contains now the result. var ans = PhiloGL.Vec3.$cross(v1, v2); {% endhighlight %}

Vec3 Method: distTo {#Vec3:distTo}

Calculates the distance between two Vec3.

Syntax:

v1.distTo(v2);

PhiloGL.Vec3.distTo(v1, v2);

Arguments:

v2 - (object) A Vec3 instance.

Examples:

Create two vectors and calculate the distance.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3), v2 = new PhiloGL.Vec3(4, 5, 6);

v1.distTo(v2); //a real value with the distance is returned. {% endhighlight %}

Create two x, y, z objects and calculate their distance.

{% highlight js %} var v1 = [ 1, 2, 3 ], v2 = [ 4, 5, 6 ];

//a real number with the distance is returned. var ans = PhiloGL.Vec3.distTo(v1, v2); {% endhighlight %}

Vec3 Method: distToSq {#Vec3:distToSq}

Calculates the squared distance between two Vec3.

Syntax:

v1.distToSq(v2);

PhiloGL.Vec3.distToSq(v1, v2);

Arguments:

v2 - (object) A Vec3 instance.

Examples:

Create two vectors and calculate the squared distance.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3), v2 = new PhiloGL.Vec3(4, 5, 6);

v1.distToSq(v2); //a real value with the squared distance is returned. {% endhighlight %}

Create two x, y, z objects and calculate their squared distance.

{% highlight js %} var v1 = [ 1, 2, 3 ], v2 = [ 4, 5, 6 ];

//a real number with the squared distance is returned. var ans = PhiloGL.Vec3.distToSq(v1, v2); {% endhighlight %}

Vec3 Method: norm {#Vec3:norm}

Calculates the norm of Vec3.

Syntax:

v1.norm();

PhiloGL.Vec3.norm(v1);

Examples:

Create a vector and calculate its norm.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3);

vi.norm(); //returns the real valued norm. {% endhighlight %}

Create an x, y, z object and calculate its norm.

{% highlight js %} var v1 = [ 1, 2, 3 ];

//A real number with the norm is returned. var ans = PhiloGL.Vec3.norm(v1); {% endhighlight %}

Vec3 Method: normSq {#Vec3:normSq}

Calculates the squared norm of Vec3.

Syntax:

v1.normSq();

PhiloGL.Vec3.normSq(v1);

Examples:

Create a vector and calculate its squared norm.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3);

vi.normSq(); //returns the real valued norm. {% endhighlight %}

Create an x, y, z object and calculate its squared norm.

{% highlight js %} var v1 = [ 1, 2, 3 ];

//A real number with the squared norm is returned. var ans = PhiloGL.Vec3.normSq(v1); {% endhighlight %}

Vec3 Method: dot {#Vec3:dot}

Calculates the dot product between two Vec3. You can find more information about the dot product here.

Syntax:

v1.dot(v2);

PhiloGL.Vec3.dot(v1, v2);

Arguments:

v2 - (object) A Vec3 instance.

Examples:

Create two vectors and calculate the dot product.

{% highlight js %} var v1 = new PhiloGL.Vec3(1, 2, 3), v2 = new PhiloGL.Vec3(4, 5, 6);

v1.dot(v2); //a real value with the dot product is returned. {% endhighlight %}

Create two x, y, z objects and calculate the dot product.

{% highlight js %} var v1 = [ 1, 2, 3 ], v2 = [ 4, 5, 6 ];

//a real number with the dot product is returned. var ans = PhiloGL.Vec3.dot(v1, v2); {% endhighlight %}

Vec3 Method: clone {#Vec3:clone}

Clones a vector.

Syntax:

v1.clone();

PhiloGL.Vec3.clone(v1);

Class: Mat4 {#Mat4}

A class to handle four by four matrices.

Mat4 Static Method: fromQuat {#Mat4:fromQuat}

Create a new Mat4 instance from a Quat instance. The Quaternion must be a unit quaternion.

Syntax:

PhiloGL.Mat4.fromQuat(q);

Arguments:

q - (object) A Quat instance.

Examples:

Create a matrix from a Quaternion.

{% highlight js %} var q = new PhiloGL.Quat(1, 2, 3, 4).$unit(), m = PhiloGL.Mat4.fromQuat(q); //a new Mat4 instance {% endhighlight %}

Mat4 Method: constructor {#Mat4:constructor}

Creates a new Mat4 instance. If no arguments are set then an Identity matrix is created.

Syntax:

var m = new PhiloGL.Mat4();

var m = new PhiloGL.Mat4(n11, n12, n13, n14,
                         n21, n22, n23, n24,
                         n31, n32, n33, n34,
                         n41, n42, n43, n44);

Arguments:

n - (number) The matrix component.

Examples:

Create an identity matrix.

{% highlight js %} var m = new PhiloGL.Mat4(); {% endhighlight %}

Create a null matrix.

{% highlight js %} var m = new PhiloGL.Mat4( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ); {% endhighlight %}

Mat4 Method: id {#Mat4:id}

Modifies the matrix to be an Identity matrix.

Syntax:

m.id();

PhiloGL.Mat4.id(m);

Examples:

Create an identity matrix from some random matrix.

{% highlight js %} var m = new PhiloGL.Mat4( 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4);

m.id(); //m is now the Identity matrix. {% endhighlight %}

Create an identity matrix object.

{% highlight js %} var m = [];

PhiloGL.Mat4.id(m); //m object components are the Identity matrix ones. {% endhighlight %}

Mat4 Method: set {#Mat4:set}

Set all matrix coordinates.

Syntax:

m.set(n11, n12, n13, n14,
      n21, n22, n23, n24,
      n31, n32, n33, n34,
      n41, n42, n43, n44);

PhiloGL.Mat4.set(m, n11, n12, n13, n14,
                    n21, n22, n23, n24,
                    n31, n32, n33, n34,
                    n41, n42, n43, n44);

Arguments:

n - (number) The n matrix coordinates.

Examples:

Create a matrix and set some values to it.

{% highlight js %} var m = new PhiloGL.Mat4();

m.set(1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4); {% endhighlight %}

Set an empty object matrix coordinates onto some values.

{% highlight js %} var m = [];

PhiloGL.Mat4.set(m, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4);

{% endhighlight %}

Mat4 Method: mulVec3 {#Mat4:mulVec3}

Multiplies a Mat4 by a Vec3. Returns a new Vec3 without modifying the passed in object.

Syntax:

m.mulVec3(v);

PhiloGL.Mat4.mulVec3(m, v);

Arguments:

v - (object) A Vec3 instance.

Examples:

Create a matrix and a vector and multiply them.

{% highlight js %} var m = new PhiloGL.Mat4(), v = new PhiloGL.Vec3(1, 1, 1);

m.mulVec3(v); {% endhighlight %}

Create a matrix object and a vector object and multiply them.

{% highlight js %} var m = [], v = [];

PhiloGL.Mat4.id(m); PhiloGL.Vec3.set(v, 1, 1, 1);

PhiloGL.Mat4.mulVec3(m, v); {% endhighlight %}

Mat4 Method: $mulVec3 {#Mat4:$mulVec3}

Multiplies a Mat4 by a Vec3. Modifies the receiver.

Syntax:

m.$mulVec3(v);

PhiloGL.Mat4.$mulVec3(m, v);

Arguments:

v - (object) A Vec3 instance.

Examples:

Create a matrix and a vector and multiply them.

{% highlight js %} var m = new PhiloGL.Mat4(), v = new PhiloGL.Vec3(1, 1, 1);

m.$mulVec3(v); {% endhighlight %}

Create a matrix object and a vector object and multiply them.

{% highlight js %} var m = [], v = [];

PhiloGL.Mat4.id(m); PhiloGL.Vec3.set(v, 1, 1, 1);

PhiloGL.Mat4.$mulVec3(m, v); {% endhighlight %}

Mat4 Method: mulMat4 {#Mat4:mulMat4}

Multiplies two Mat4. Creates a new Mat4 with the result and does not modify the original instances.

Syntax:

m.mulMat4(m1);

PhiloGL.Mat4.mulMat4(m, m1);

Arguments:

m1 - (object) A Mat4 instance.

Examples:

Create two matrices and multiply them.

{% highlight js %} var m = new PhiloGL.Mat4(), m1 = new PhiloGL.Mat4();

m.mulMat4(m1); //the result is a new Identity matrix {% endhighlight %}

Create a two matrices objects and multiply them.

{% highlight js %} var m = [], m1 = [];

PhiloGL.Mat4.id(m); PhiloGL.Mat4.id(m1); PhiloGL.Mat4.mulMat4(m, m1); {% endhighlight %}

Mat4 Method: $mulMat4 {#Mat4:$mulMat4}

Multiplies two Mat4, storing the result in the receiver.

Syntax:

m.$mulMat4(m1);

PhiloGL.Mat4.$mulMat4(m, m1);

Arguments:

m1 - (object) A Mat4 instance.

Examples:

Create two matrices and multiply them.

{% highlight js %} var m = new PhiloGL.Mat4(), m1 = new PhiloGL.Mat4();

m.$mulMat4(m1); //the result is stored in m. {% endhighlight %}

Create a two matrices objects and multiply them.

{% highlight js %} var m = [], m1 = [];

PhiloGL.Mat4.id(m); PhiloGL.Mat4.id(m1); PhiloGL.Mat4.$mulMat4(m, m1); {% endhighlight %}

Mat4 Method: mulMat42 {#Mat4:mulMat42}

Multiplies two Mat4, storing the result in the receiver.

Syntax:

m.mulMat42(m1, m2);

PhiloGL.Mat4.mulMat42(m, m1, m2);

Arguments:

m1 - (object) A Mat4 instance.
m2 - (object) A Mat4 instance.

Examples:

Create two matrices and multiply them.

{% highlight js %} var m = new PhiloGL.Mat4(), m1 = new PhiloGL.Mat4(), m2 = new PhiloGL.Mat4();

m.mulMat42(m1, m2); //the result is stored in m. {% endhighlight %}

Create a two matrices objects and multiply them.

{% highlight js %} var m = [], m1 = [], m2 = [];

PhiloGL.Mat4.id(m1); PhiloGL.Mat4.id(m2); PhiloGL.Mat4.mulMat42(m, m1, m2); {% endhighlight %}

Mat4 Method: add {#Mat4:add}

Adds two Mat4. Creates a new Mat4 with the result and does not modify the original instances.

Syntax:

m.add(m1);

PhiloGL.Mat4.add(m, m1);

Arguments:

m1 - (object) A Mat4 instance.

Examples:

Create two matrices and add them.

{% highlight js %} var m = new PhiloGL.Mat4(), m1 = new PhiloGL.Mat4();

m.add(m1); //the result is a new matrix {% endhighlight %}

Create a two matrices objects and add them.

{% highlight js %} var m = [], m1 = [];

PhiloGL.Mat4.id(m); PhiloGL.Mat4.id(m1); PhiloGL.Mat4.add(m, m1); {% endhighlight %}

Mat4 Method: $add {#Mat4:$add}

Adds two Mat4, storing the result in the receiver.

Syntax:

m.$add(m1);

PhiloGL.Mat4.$add(m, m1);

Arguments:

m1 - (object) A Mat4 instance.

Examples:

Create two matrices and add them.

{% highlight js %} var m = new PhiloGL.Mat4(), m1 = new PhiloGL.Mat4();

m.$add(m1); //the result is stored in m. {% endhighlight %}

Create a two matrices objects and add them.

{% highlight js %} var m = [], m1 = [];

PhiloGL.Mat4.id(m); PhiloGL.Mat4.id(m1); PhiloGL.Mat4.$add(m, m1); {% endhighlight %}

Mat4 Method: transpose {#Mat4:transpose}

Transposes a Mat4 matrix. More info about this operation can be found here. Creates a new Mat4 with the result.

Syntax:

m.transpose();

PhiloGL.Mat4.transpose(m);

Examples:

Create a Mat4 matrix and transpose it.

{% highlight js %} var m = new PhiloGL.Mat4();

m.transpose(); //the result is a new Identity matrix {% endhighlight %}

Mat4 Method: $transpose {#Mat4:$transpose}

Transposes a Mat4 matrix. More info about this operation can be found here. Modifies the current matrix.

Syntax:

m.$transpose();

PhiloGL.Mat4.$transpose(m);

Examples:

Create a Mat4 matrix and transpose it.

{% highlight js %} var m = new PhiloGL.Mat4();

m.$transpose(); //the result is stored in m {% endhighlight %}

Mat4 Method: rotateAxis {#Mat4:rotateAxis}

Applies a rotation of theta by vec to a Mat4 matrix returning the result in a new matrix.

Syntax:

m.rotateAxis(theta, vec);

PhiloGL.Mat4.rotateAxis(m, theta, vec);

Arguments:

theta - (number) An angle in radians.
vec - (object) A Vec3 (or array).

Examples:

Create a rotation by theta and v.

{% highlight js %} var m = new PhiloGL.Mat4(), v = new PhiloGL.Vec3(1, 1, 1);

m.rotateAxis(Math.PI, v); //the result is a new matrix {% endhighlight %}

Another way of doing the same thing without creating a Vec3.

{% highlight js %} var m = new PhiloGL.Mat4(), v = [ 1, 1, 1 ];

m.rotateAxis(Math.PI, v); //the result is a new matrix {% endhighlight %}

Mat4 Method: $rotateAxis {#Mat4:$rotateAxis}

Applies a rotation of angle theta by vector vec to a Mat4 altering the current matrix.

Syntax:

m.$rotateAxis(theta, vec);

PhiloGL.Mat4.$rotateAxis(m, theta, vec);

Arguments:

theta - (number) An angle in radians.
vec - (object) A Vec3 (or array).

Examples:

Create a rotation by theta and v.

{% highlight js %} var m = new PhiloGL.Mat4(), v = new PhiloGL.Vec3(1, 1, 1);

m.$rotateAxis(Math.PI, v); //the result is in m {% endhighlight %}

Another way of doing the same thing without creating a Vec3.

{% highlight js %} var m = new PhiloGL.Mat4(), v = [ 1, 1, 1 ];

m.$rotateAxis(Math.PI, v); //the result is in m {% endhighlight %}

Mat4 Method: rotateXYZ {#Mat4:rotateXYZ}

Applies a rotation of angle rx in the x-axis, ry in the y-axis and rz in the z-axis. Creates a new Mat4 with the result.

Syntax:

m.rotateXYZ(rx, ry, rz);

PhiloGL.Mat4.rotateXYZ(m, rx, ry, rz);

Arguments:

rx - (number) An angle in radians.
ry - (number) An angle in radians.
rz - (number) An angle in radians.

Examples:

Create a rotation on the x-axis.

{% highlight js %} var m = new PhiloGL.Mat4();

m.rotateXYZ(Math.PI, 0, 0); //the result is a new matrix {% endhighlight %}

Another way of doing it with generics:

{% highlight js %} var m = [];

PhiloGL.Mat4.id(m); PhiloGL.Mat4.rotateXYZ(m, Math.PI, 0, 0); //creates a new Mat4 with the result. {% endhighlight %}

Mat4 Method: $rotateXYZ {#Mat4:$rotateXYZ}

Applies a rotation of angle rx in the x-axis, ry in the y-axis and rz in the z-axis. Alters the matrix.

Syntax:

m.$rotateXYZ(rx, ry, rz);

PhiloGL.Mat4.$rotateXYZ(m, rx, ry, rz);

Arguments:

rx - (number) An angle in radians.
ry - (number) An angle in radians.
rz - (number) An angle in radians.

Examples:

Create a rotation on the x-axis.

{% highlight js %} var m = new PhiloGL.Mat4();

m.$rotateXYZ(Math.PI, 0, 0); //alters m {% endhighlight %}

Another way of doing it with generics:

{% highlight js %} var m = [];

PhiloGL.Mat4.id(m); PhiloGL.Mat4.$rotateXYZ(m, Math.PI, 0, 0); //alters m {% endhighlight %}

Mat4 Method: translate {#Mat4:translate}

Applies a translation to Mat4 in the directions x, y and z. Stores the result in a new Mat4 instance.

Syntax:

m.translate(x, y, z);

PhiloGL.Mat4.translate(m, x, y, z);

Arguments:

x - (number) The amount to be translated in the x direction.
y - (number) The amount to be translated in the y direction.
z - (number) The amount to be translated in the z direction..

Examples:

Create a translation on the x-axis.

{% highlight js %} var m = new PhiloGL.Mat4();

m.translate(10, 0, 0); //the result is a new matrix {% endhighlight %}

Another way of doing it with generics:

{% highlight js %} var m = [];

PhiloGL.Mat4.id(m); PhiloGL.Mat4.translate(m, 10, 0, 0); //creates a new Mat4 with the result. {% endhighlight %}

Mat4 Method: $translate {#Mat4:$translate}

Applies a translation to Mat4 in the directions x, y and z. Alters the original matrix.

Syntax:

m.$translate(x, y, z);

PhiloGL.Mat4.$translate(m, x, y, z);

Arguments:

x - (number) The amount to be translated in the x direction.
y - (number) The amount to be translated in the y direction.
z - (number) The amount to be translated in the z direction..

Examples:

Create a translation on the x-axis.

{% highlight js %} var m = new PhiloGL.Mat4();

m.$translate(10, 0, 0); //the result is in m {% endhighlight %}

Another way of doing it with generics:

{% highlight js %} var m = [];

PhiloGL.Mat4.id(m); PhiloGL.Mat4.$translate(m, 10, 0, 0); //the result is in m {% endhighlight %}

Mat4 Method: scale {#Mat4:scale}

Applies scaling to Mat4 in the directions x, y and z. Stores the result in a new Mat4 instance.

Syntax:

m.scale(x, y, z);

PhiloGL.Mat4.scale(m, x, y, z);

Arguments:

x - (number) The amount to be scaled in the x direction.
y - (number) The amount to be scaled in the y direction.
z - (number) The amount to be scaled in the z direction..

Examples:

Create a scaling on the x-axis.

{% highlight js %} var m = new PhiloGL.Mat4();

m.scale(10, 0, 0); //the result is a new matrix {% endhighlight %}

Another way of doing it with generics:

{% highlight js %} var m = [];

PhiloGL.Mat4.id(m); PhiloGL.Mat4.scale(m, 10, 0, 0); //creates a new Mat4 with the result. {% endhighlight %}

Mat4 Method: $scale {#Mat4:$scale}

Applies scaling to Mat4 in the directions x, y and z. Alters the original matrix.

Syntax:

m.$scale(x, y, z);

PhiloGL.Mat4.$scale(m, x, y, z);

Arguments:

x - (number) The amount to be scaled in the x direction.
y - (number) The amount to be scaled in the y direction.
z - (number) The amount to be scaled in the z direction..

Examples:

Create a scaling on the x-axis.

{% highlight js %} var m = new PhiloGL.Mat4();

m.$scale(10, 0, 0); //the result is in m {% endhighlight %}

Another way of doing it with generics:

{% highlight js %} var m = [];

PhiloGL.Mat4.id(m); PhiloGL.Mat4.$scale(m, 10, 0, 0); //the result is in m {% endhighlight %}

Mat4 Method: invert {#Mat4:invert}

Inverts a Mat4 matrix. The matrix has to be invertible. Creates a new Mat4 with the result.

Syntax:

m.invert();

PhiloGL.Mat4.invert(m);

Examples:

Create a Mat4 matrix and invert it.

{% highlight js %} var m = new PhiloGL.Mat4();

m.invert(); //the result is a new matrix {% endhighlight %}

Mat4 Method: $invert {#Mat4:$invert}

Inverts a Mat4 matrix. The matrix has to be invertible. Modifies the current matrix.

Syntax:

m.$invert();

PhiloGL.Mat4.$invert(m);

Examples:

Create a Mat4 matrix and invert it.

{% highlight js %} var m = new PhiloGL.Mat4();

m.$invert(); //the result is stored in m {% endhighlight %}

Mat4 Method: lookAt {#Mat4:lookAt}

Performs a lookAt operation on a matrix. Modifies the current matrix. Ths method is useful when setting a camera matrix class. For more information about the lookAt operation look here.

Syntax:

m.lookAt(eye, center, up);

PhiloGL.Mat4.lookAt(m, eye, center, up);

Arguments:

eye - (object) The eye position as a Vec3 (or x,y,z object).
center - (number) The center position as a Vec3 (or x,y,z object).
up - (number) The up vector of the "camera" as a Vec3 (or x,y,z object).

Examples:

Create a lookAt matrix. The eye is looking at the origin.

{% highlight js %} var m = new PhiloGL.Mat4(), eye = [ 1, 0, 1 ], center = [ 0, 0, 0 ], up = [ 0, 1, 0 ];

m.lookAt(eye, center, up); //the original matrix is modified. {% endhighlight %}

Another way of doing it with generics:

{% highlight js %} var m = [], eye = [ 1, 0, 1 ], center = [ 0, 0, 0 ], up = [ 0, 1, 0 ];

PhiloGL.Mat4.lookAt(m, eye, center, up); //the original object is modified. {% endhighlight %}

Mat4 Method: frustum {#Mat4:frustum}

Performs a frustum operation on a matrix. Modifies the current matrix. This method is useful when setting a camera projection matrix class. For more information about the frustum geometry look here.

Syntax:

  m.frustum(left, right, bottom, top, near, far);

PhiloGL.Mat4.frustum(m, left, right, bottom, top, near, far);

Arguments:

left - (number) The left part of the frustum.
right - (number) The right part of the frustum.
bottom - (number) The bottom part of the frustum.
top - (number) The top part of the frustum.
near - (number) The nearest part of the frustum.
far - (number) The furthest part of the frustum.

Mat4 Method: ortho {#Mat4:ortho}

Creates an orthographic projection. Modifies the current matrix. For more information about the orthographic projection geometry look here.

Syntax:

  m.ortho(left, right, bottom, top, near, far);

PhiloGL.Mat4.ortho(m, left, right, bottom, top, near, far);

Arguments:

left - (number) The left part of the orthographic projection.
right - (number) The right part of the orthographic projection.
bottom - (number) The bottom part of the orthographic projection.
top - (number) The top part of the orthographic projection.
near - (number) The nearest part of the orthographic projection.
far - (number) The furthest part of the orthographic projection.

Mat4 Method: perspective {#Mat4:perspective}

Creates a perspective matrix. This operation is based on creating a frustum matrix. Modifies the current matrix. This method is useful when setting a camera projection matrix class.

Syntax:

m.perspective(fov, aspect, near, far);

PhiloGL.Mat4.perspective(m, fov, aspect, near, far);

Arguments:

fov - (number) The field of view. An angle in degrees.
aspect - (number) The aspect ratio. Generally canvas.width / canvas.height.
near - (number) The nearest part to be captured by the camera.
far - (number) The furthest part to be captured by the camera.

Mat4 Method: toFloat32Array {#Mat4:toFloat32Array}

Converts the matrix in a Float32Array. Useful when setting matrix uniforms.

Syntax:

m.toFloat32Array();

Mat4 Method: clone {#Mat4:clone}

Clones a matrix.

Syntax:

m.clone();

PhiloGL.Mat4.clone(m);

Class: Quat {#Quat}

A class to handle Quaternions. More information on quternions can be found here. The quaternion will be represented by an instance with x, y, z, w components that make a quaternion like: xi + yj + zk + w.

Quat Static Method: fromVec3 {#Quat:fromVec3}

Create a new Quat instance from the x, y, z coordinates of a Vec3 and a real component.

Syntax:

PhiloGL.Quat.fromVec3(v[, r]);

Arguments:

v - (object) A Vec3 instance.
r - (number, optional) The real component. Default's 0.

Examples:

Create a Quaternion from a Vec3.

{% highlight js %} var v = new PhiloGL.Vec3(1, 2, 3), q = PhiloGL.Quat.fromVec3(v, 7); //Quat(1, 2, 3, 7) {% endhighlight %}

Quat Static Method: fromMat4 {#Quat:fromMat4}

Create a new Quat instance from a Mat4. The Mat4 instance must be an orthogonal matrix.

Syntax:

PhiloGL.Quat.fromMat4(m);

Arguments:

m - (object) A Mat4 instance.

Examples:

Create a Quaternion from a Mat4.

{% highlight js %} var m = new PhiloGL.Mat4(), q = PhiloGL.Quat.fromMat4(m); //Quat {% endhighlight %}

Quat Static Method: fromXRotation {#Quat:fromXRotation}

Create a new Quat instance from a rotation around the x-axis in radians.

Syntax:

PhiloGL.Quat.fromXRotation(angle);

Arguments:

angle - (number) The angle in radians.

Examples:

Create a Quaternion from an x-axis rotation.

{% highlight js %} var q = PhiloGL.Quat.fromXRotation(Math.PI); //Quat(1, 0, 0, 0) {% endhighlight %}

Quat Static Method: fromYRotation {#Quat:fromYRotation}

Create a new Quat instance from a rotation around the y-axis in radians.

Syntax:

PhiloGL.Quat.fromYRotation(angle);

Arguments:

angle - (number) The angle in radians.

Examples:

Create a Quaternion from an y-axis rotation.

{% highlight js %} var q = PhiloGL.Quat.fromYRotation(Math.PI); //Quat(0, 1, 0, 0) {% endhighlight %}

Quat Static Method: fromZRotation {#Quat:fromZRotation}

Create a new Quat instance from a rotation around the z-axis in radians.

Syntax:

PhiloGL.Quat.fromZRotation(angle);

Arguments:

angle - (number) The angle in radians.

Examples:

Create a Quaternion from an z-axis rotation.

{% highlight js %} var q = PhiloGL.Quat.fromZRotation(Math.PI); //Quat(0, 0, 1, 0) {% endhighlight %}

Quat Static Method: fromAxisRotation {#Quat:fromAxisRotation}

Create a new Quat instance from a rotation around an axis.

Syntax:

PhiloGL.Quat.fromAxisRotation(v, angle);

Arguments:

v - (object) A Vec3-like object (i.e an array of three components).
angle - (number) The angle in radians.

Examples:

Create a Quaternion from an z-axis rotation.

{% highlight js %} var v = new PhiloGL.Vec3(0, 0, 1), q = PhiloGL.Quat.fromAxisRotation(v, Math.PI); //Quat(0, 0, 1, 0) {% endhighlight %}

Quat Method: constructor {#Quat:constructor}

Creates a new Quat instance.

Syntax:

var q = new PhiloGL.Quat(x, y, z, w);

Arguments:

x - (number, optional) The x component. If not provided is 0.
y - (number, optional) The y component. If not provided is 0.
z - (number, optional) The z component. If not provided is 0.
w - (number, optional) The non-imaginary component. If not provided is 0.

Examples:

Create a (0, 0, 0, 0) quaternion.

{% highlight js %} var q = new PhiloGL.Quat(); {% endhighlight %}

Create a (1, 2, 3, 4) quaternion.

{% highlight js %} var q = new PhiloGL.Quat(1, 2, 3, 4); {% endhighlight %}

Quat Method: setQuat {#Quat:setQuat}

Set x, y, z, w coordinates of one Quat into another Quat.

Syntax:

  q1.setQuat(q2);

PhiloGL.Quat.setQuat(q1, q2);

Arguments:

q2 - (object) A Quat instance.

Examples:

Create two quaternions and assign one quaternions components to the other one.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 2, 3, 4), q2 = new PhiloGL.Quat(4, 5, 6, 7);

q1.setQuat(q2); //v1 now contains [ 4, 5, 6, 7 ] {% endhighlight %}

Set an object's x, y, z, w components to another object.

{% highlight js %} var q1 = [], q2 = [ 4, 5, 6, 7 ];

PhiloGL.Quat.setQuat(q1, q2); //q1 now has [ 4, 5, 6, 7 ] {% endhighlight %}

Quat Method: set {#Quat:set}

Set x, y, z, w coordinates.

Syntax:

  q1.set(x, y, z, w);

PhiloGL.Quat.set(q1, x, y, z, w);

Arguments:

x - (number) The x coordinate.
y - (number) The y coordinate.
z - (number) The z coordinate.
w - (number) The w coordinate.

Examples:

Create two quaternions and assign one quaternions components to the other one.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 2, 3, 4), q2 = new PhiloGL.Quat(4, 5, 6, 7);

q1.set(q2.x, q2.y, q2.z, q2.w); //q1 now contains [ 4, 5, 6, 7 ] {% endhighlight %}

Set an object's x, y, z, w components to another object.

{% highlight js %} var q1 = [], q2 = [ 4, 5, 6, 7 ];

PhiloGL.Quat.set(q1, q2.x, q2.y, q2.z, q2.w); //q1 now has [ 4, 5, 6, 7 ] {% endhighlight %}

Quat Method: add {#Quat:add}

Adds the x, y, z components of two Quat objects. Creates a new Quat instance and does not modify the original objects.

Syntax:

  q1.add(q2);

PhiloGL.Quat.add(q1, q2);

Arguments:

q2 - (object) A Quat instance.

Examples:

Create two quaternions and add them.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 2, 3, 4), q2 = new PhiloGL.Quat(4, 5, 6, 7);

q1.add(q2); //q1 and q2 are still the same but a new Quat(5, 7, 9, 11) was created. {% endhighlight %}

Create two x, y, z, w objects and add them.

{% highlight js %} var q1 = [ 1, 2, 3, 4 ], q2 = [ 4, 5, 6, 7 ];

PhiloGL.Quat.add(q1, q2); //q1 and q2 are still the same but a new Quat(5, 7, 9, 11) was created. {% endhighlight %}

Quat Method: $add {#Quat:$add}

Adds the x, y, z, w components of two Quat objects. Modifies the original object.

Syntax:

  q1.$add(q2);

PhiloGL.Quat.$add(q1, q2);

Arguments:

q2 - (object) A Quat instance.

Examples:

Create two quaternions and add them.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 2, 3, 4), q2 = new PhiloGL.Quat(4, 5, 6, 7);

q1.$add(q2); //q1 is now Quat(5, 7, 9, 11). {% endhighlight %}

Create two x, y, z, w objects and add them.

{% highlight js %} var q1 = [ 1, 2, 3, 4 ], q2 = [ 4, 5, 6, 7 ];

PhiloGL.Quat.$add(q1, q2); //q1 is now [ 5, 7, 9, 11 ]. {% endhighlight %}

Quat Method: sub {#Quat:sub}

Substracts the x, y, z, w components of two Quat objects. Creates a new Quat instance and does not modify the original objects.

Syntax:

  q1.sub(q2);

PhiloGL.Quat.sub(q1, q2);

Arguments:

q2 - (object) A Quat instance.

Examples:

Create two quaternions and substract them.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 2, 3, 4), q2 = new PhiloGL.Quat(4, 5, 6, 7);

q1.sub(q2); //q1 and q2 are still the same but a new Quat(-3, -3, -3, -3) was created. {% endhighlight %}

Create two x, y, z, w objects and substract them.

{% highlight js %} var q1 = { x: 1, y: 2, z: 3, w: 4 }, q2 = [ 4, 5, 6, 7 ];

PhiloGL.Quat.sub(q1, q2); //q1 and q2 are still the same but a new Quat(-3, -3, -3, -3) was created. {% endhighlight %}

Quat Method: $sub {#Quat:$sub}

Substracts the x, y, z, w components of two Quat objects. Modifies the original object.

Syntax:

  q1.$sub(q2);

PhiloGL.Quat.$sub(q1, q2);

Arguments:

q2 - (object) A Quat instance.

Examples:

Create two quaternions and substract them.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 2, 3, 4), q2 = new PhiloGL.Quat(4, 5, 6, 7);

q1.$sub(q2); //q1 is now Quat(-3, -3, -3, -3). {% endhighlight %}

Create two x, y, z, w objects and add them.

{% highlight js %} var q1 = [ 1, 2, 3, 4 ], q2 = [ 4, 5, 6, 7 ];

PhiloGL.Quat.$sub(q1, q2); //q1 is now [ -3, -3, -3, -3 ]. {% endhighlight %}

Quat Method: mulQuat {#Quat:mulQuat}

Multiplies two quaternions returning a new Quat instance with the result. The original object is not modified.

Syntax:

  q1.mulQuat(q2);

PhiloGL.Quat.mulQuat(q1, q2);

Arguments:

q2 - (object) A Quat instance.

Examples:

Create two Quaternions and multiply them.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 0, 0, 0), q2 = new PhiloGL.Quat(1, 0, 0, 0);

q1.mulQuat(q2); //q1 is unchanged but a new Quat(-1, 0, 0, 0) is created. {% endhighlight %}

Quat Method: $mulQuat {#Quat:$mulQuat}

Multiplies two quaternions returning and modifies the receiver with the result.

Syntax:

  q1.$mulQuat(q2);

PhiloGL.Quat.$mulQuat(q1, q2);

Arguments:

q2 - (object) A Quat instance.

Examples:

Create two Quaternions and multiply them.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 0, 0, 0), q2 = new PhiloGL.Quat(1, 0, 0, 0);

q1.$mulQuat(q2); //q1 is now Quat(-1, 0, 0, 0). {% endhighlight %}

Quat Method: divQuat {#Quat:divQuat}

Divides two quaternions returning a new Quat instance with the result. The original object is not modified.

Syntax:

  q1.divQuat(q2);

PhiloGL.Quat.divQuat(q1, q2);

Arguments:

q2 - (object) A Quat instance.

Examples:

Create two Quaternions and divide them.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 0, 0, 0), q2 = new PhiloGL.Quat(1, 0, 0, 0);

q1.divQuat(q2); //q1 is unchanged but a new Quat(1, 0, 0, 0) is created. {% endhighlight %}

Quat Method: $divQuat {#Quat:$divQuat}

Divides two quaternions returning and modifies the receiver with the result.

Syntax:

  q1.$divQuat(q2);

PhiloGL.Quat.$divQuat(q1, q2);

Arguments:

q2 - (object) A Quat instance.

Examples:

Create two Quaternions and divide them.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 0, 0, 0), q2 = new PhiloGL.Quat(1, 0, 0, 0);

q1.$divQuat(q2); //q1 is now Quat(1, 0, 0, 0). {% endhighlight %}

Quat Method: scale {#Quat:scale}

Scales the Quat quaternion by a real number. Creates a new Quat with the scaled components.

Syntax:

  q1.scale(s);

PhiloGL.Quat.scale(q1, s);

Arguments:

s - (number) A real number to scale the Quat.

Examples:

Create a quaternion and scale it by 2.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 2, 3, 4);

q1.scale(2); //q1 is unchanged but a new Quat(2, 4, 6, 8) is created. {% endhighlight %}

Create an x, y, z, w object and scale it by 2.

{% highlight js %} var q1 = [ 1, 2, 3, 4 ];

PhiloGL.Quat.scale(q1, 2); //q1 is still the same but a new Quat(2, 4, 6, 8) was created. {% endhighlight %}

Quat Method: $scale {#Quat:$scale}

Scales the Quat quaternion by a real number. Changes the original object.

Syntax:

  q1.$scale(s);

PhiloGL.Quat.$scale(q1, s);

Arguments:

s - (number) A real number to scale the Quat.

Examples:

Create a quaternion and scale it by 2.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 2, 3, 4);

q1.$scale(2); //q1 is now Quat(2, 4, 6, 8). {% endhighlight %}

Create an x, y, z, w object and scale it by 2.

{% highlight js %} var q1 = [ 1, 2, 3, 4 ];

PhiloGL.Quat.$scale(q1, 2); //q1 is now [ 2, 4, 6, 8 ]. {% endhighlight %}

Quat Method: conjugate {#Quat:conjugate}

Conjugates a Quat. Returns a new instance.

Syntax:

  q1.conjugate();

PhiloGL.Quat.conjugate(q1);

Examples:

Create a quaternion and conjugate it.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 2, 3, 4);

q1.conjugate(); //q1 is unchanged but a new Quat(-1, -2, -3, 4) is created. {% endhighlight %}

Create an x, y, z, w object and conjugate it.

{% highlight js %} var q1 = [ 1, 2, 3, 4 ];

PhiloGL.Quat.conjugate(q1); //q1 is still the same but a new Quat(-1, -2, -3, 4). {% endhighlight %}

Quat Method: $conjugate {#Quat:$conjugate}

conjugates a Quat. Changes the original object.

Syntax:

  q1.$conjugate();

PhiloGL.Quat.$conjugate(q1);

Examples:

Create a quaternion and conjugate it.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 2, 3, 4);

q1.$conjugate(); //q1 is now Quat(-1, -2, -3, 4). {% endhighlight %}

Create an x, y, z, w object and conjugate it.

{% highlight js %} var q1 = [ 1, 2, 3, 4 ];

PhiloGL.Quat.conjugate(q1); //q1 is now [ -1, -2, -3, 4 ]. {% endhighlight %}

Quat Method: neg {#Quat:neg}

Negates a Quat. Returns a new instance.

Syntax:

  q1.neg();

PhiloGL.Quat.neg(q1);

Examples:

Create a quaternion and negate it.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 2, 3, 4);

q1.neg(); //q1 is unchanged but a new Quat(-1, -2, -3, -4) is created. {% endhighlight %}

Create an x, y, z, w object and negate it.

{% highlight js %} var q1 = [ 1, 2, 3, 4 ];

PhiloGL.Quat.neg(q1); //q1 is still the same but a new Quat(-1, -2, -3, -4). {% endhighlight %}

Quat Method: $neg {#Quat:$neg}

Negates a Quat. Changes the original object.

Syntax:

  q1.$neg();

PhiloGL.Quat.$neg(q1);

Examples:

Create a quaternion and negate it.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 2, 3, 4);

q1.$neg(); //q1 is now Quat(-1, -2, -3, -4). {% endhighlight %}

Create an x, y, z, w object and negate it.

{% highlight js %} var q1 = [ 1, 2, 3, 4 ];

PhiloGL.Quat.neg(q1); //q1 is now [ -1, -2, -3, -4 ]. {% endhighlight %}

Quat Method: unit {#Quat:unit}

Creates a unit quaternion from the coordinates of Quat. The original object is not modified.

Syntax:

  q1.unit();

PhiloGL.Quat.unit(q1);

Examples:

Create a quaternion and make a unit quaternion from it.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 2, 3, 4);

q1.unit(); //q1 is unchanged but a new unit quaternion Quat is created. {% endhighlight %}

Create an x, y, z, w object and make a unit quaternion from it.

{% highlight js %} var q1 = [ 1, 2, 3, 4 ];

PhiloGL.Quat.unit(q1); //q1 is still the same but a new Quat that is a unit quaternion is created. {% endhighlight %}

Quat Method: $unit {#Quat:$unit}

Creates a unit quaternion from the Quat coordinates. Changes the original object.

Syntax:

  q1.$unit();

PhiloGL.Quat.$unit(q1);

Examples:

Create a quaternion and make a unit quaternion from it.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 2, 3, 4);

q1.$unit(); //q1 is now a unit quaternion. {% endhighlight %}

Create an x, y, z, w object and make a unit quaternion from it.

{% highlight js %} var q1 = [ 1, 2, 3, 4 ];

PhiloGL.Quat.$unit(q1); //q1 is now a unit quaternion vector. {% endhighlight %}

Quat Method: norm {#Quat:norm}

Calculates the norm of Quat.

Syntax:

  q1.norm();

PhiloGL.Quat.norm(q1);

Examples:

Create a quaternion and calculate its norm.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 2, 3, 4);

vi.norm(); //returns the real valued norm. {% endhighlight %}

Create an x, y, z, w object and calculate its norm.

{% highlight js %} var q1 = [ 1, 2, 3, 4 ];

//A real number with the norm is returned. var ans = PhiloGL.Quat.norm(q1); {% endhighlight %}

Quat Method: normSq {#Quat:normSq}

Calculates the squared norm of Quat.

Syntax:

  q1.normSq();

PhiloGL.Quat.normSq(q1);

Examples:

Create a quaternion and calculate its squared norm.

{% highlight js %} var q1 = new PhiloGL.Quat(1, 2, 3, 4);

vi.normSq(); //returns the real valued norm. {% endhighlight %}

Create an x, y, z, w object and calculate its squared norm.

{% highlight js %} var q1 = [ 1, 2, 3, 4 ];

//A real number with the squared norm is returned. var ans = PhiloGL.Quat.normSq(q1); {% endhighlight %}

Quat Method: clone {#Quat:clone}

Clones a quaternion.

Syntax:

  q1.clone();

PhiloGL.Quat.clone(q1);

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Script: Math {#Math}

Generics:

Chainable Methods:

Conventions:

Notes:

Class: Vec3 {#Vec3}

Vec3 Static Method: fromQuat {#Vec3:fromQuat}

Syntax:

Arguments:

Examples:

Vec3 Method: constructor {#Vec3:constructor}

Syntax:

Arguments:

Examples:

Vec3 Method: setVec3 {#Vec3:setVec3}

Syntax:

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Examples:

Vec3 Method: set {#Vec3:set}

Syntax:

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Examples:

Vec3 Method: add {#Vec3:add}

Syntax:

Arguments:

Examples:

Vec3 Method: $add {#Vec3:$add}

Syntax:

Arguments:

Examples:

Vec3 Method: add2 {#Vec3:add2}

Syntax:

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Examples:

Vec3 Method: sub {#Vec3:sub}

Syntax:

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Examples:

Vec3 Method: $sub {#Vec3:$sub}

Syntax:

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Examples:

Vec3 Method: sub2 {#Vec3:sub2}

Syntax:

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Examples:

Vec3 Method: scale {#Vec3:scale}

Syntax:

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Examples:

Vec3 Method: $scale {#Vec3:$scale}

Syntax:

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Examples:

Vec3 Method: neg {#Vec3:neg}

Syntax:

Examples:

Vec3 Method: $neg {#Vec3:$neg}

Syntax:

Examples:

Vec3 Method: unit {#Vec3:unit}

Syntax:

Examples:

Vec3 Method: $unit {#Vec3:$unit}

Syntax:

Examples:

Vec3 Method: cross {#Vec3:cross}

Syntax:

Arguments:

Examples:

Vec3 Method: $cross {#Vec3:$cross}

Syntax:

Arguments:

Examples: