Matrix4

Members

Methods

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Throws:

• DeveloperError : fovY must be in (0, PI].
• DeveloperError : aspectRatio must be greater than zero.
• DeveloperError : near must be greater than zero.
• DeveloperError : far must be greater than zero.

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Example:

// Create viewport transformation using an explicit viewport and depth range.
var m = Cesium.Matrix4.computeViewportTransformation({
    x : 0.0,
    y : 0.0,
    width : 1024.0,
    height : 768.0
}, 0.0, 1.0, new Cesium.Matrix4());

Returns:

Example:

//compares two Matrix4 instances

// a = [10.0, 14.0, 18.0, 22.0]
//     [11.0, 15.0, 19.0, 23.0]
//     [12.0, 16.0, 20.0, 24.0]
//     [13.0, 17.0, 21.0, 25.0]

// b = [10.0, 14.0, 18.0, 22.0]
//     [11.0, 15.0, 19.0, 23.0]
//     [12.0, 16.0, 20.0, 24.0]
//     [13.0, 17.0, 21.0, 25.0]

if(Cesium.Matrix4.equals(a,b)) {
     console.log("Both matrices are equal");
} else {
     console.log("They are not equal");
}

//Prints "Both matrices are equal" on the console

Returns:

Example:

//compares two Matrix4 instances

// a = [10.5, 14.5, 18.5, 22.5]
//     [11.5, 15.5, 19.5, 23.5]
//     [12.5, 16.5, 20.5, 24.5]
//     [13.5, 17.5, 21.5, 25.5]

// b = [10.0, 14.0, 18.0, 22.0]
//     [11.0, 15.0, 19.0, 23.0]
//     [12.0, 16.0, 20.0, 24.0]
//     [13.0, 17.0, 21.0, 25.0]

if(Cesium.Matrix4.equalsEpsilon(a,b,0.1)){
     console.log("Difference between both the matrices is less than 0.1");
} else {
     console.log("Difference between both the matrices is not less than 0.1");
}

//Prints "Difference between both the matrices is not less than 0.1" on the console

Returns:

Example:

// Create the Matrix4:
// [1.0, 2.0, 3.0, 4.0]
// [1.0, 2.0, 3.0, 4.0]
// [1.0, 2.0, 3.0, 4.0]
// [1.0, 2.0, 3.0, 4.0]

var v = [1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 4.0, 4.0, 4.0, 4.0];
var m = Cesium.Matrix4.fromArray(v);

// Create same Matrix4 with using an offset into an array
var v2 = [0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 4.0, 4.0, 4.0, 4.0];
var m2 = Cesium.Matrix4.fromArray(v2, 2);

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Example:

// Creates
//   [7.0, 0.0, 0.0, 0.0]
//   [0.0, 8.0, 0.0, 0.0]
//   [0.0, 0.0, 9.0, 0.0]
//   [0.0, 0.0, 0.0, 1.0]
var m = Cesium.Matrix4.fromScale(new Cesium.Cartesian3(7.0, 8.0, 9.0));

Returns:

See:

• Matrix4.multiplyByTranslation

Returns:

Example:

var result = Cesium.Matrix4.fromTranslationQuaternionRotationScale(
  new Cesium.Cartesian3(1.0, 2.0, 3.0), // translation
  Cesium.Quaternion.IDENTITY,           // rotation
  new Cesium.Cartesian3(7.0, 8.0, 9.0), // scale
  result);

Returns:

Returns:

Example:

// Creates
//   [2.0, 0.0, 0.0, 0.0]
//   [0.0, 2.0, 0.0, 0.0]
//   [0.0, 0.0, 2.0, 0.0]
//   [0.0, 0.0, 0.0, 1.0]
var m = Cesium.Matrix4.fromUniformScale(2.0);

Returns:

Throws:

• DeveloperError : index must be 0, 1, 2, or 3.

Examples:

//returns a Cartesian4 instance with values from the specified column
// m = [10.0, 11.0, 12.0, 13.0]
//     [14.0, 15.0, 16.0, 17.0]
//     [18.0, 19.0, 20.0, 21.0]
//     [22.0, 23.0, 24.0, 25.0]

//Example 1: Creates an instance of Cartesian
var a = Cesium.Matrix4.getColumn(m, 2, new Cesium.Cartesian4());

//Example 2: Sets values for Cartesian instance
var a = new Cesium.Cartesian4();
Cesium.Matrix4.getColumn(m, 2, a);

// a.x = 12.0; a.y = 16.0; a.z = 20.0; a.w = 24.0;

Returns:

Throws:

• DeveloperError : row must be 0, 1, 2, or 3.
• DeveloperError : column must be 0, 1, 2, or 3.

Example:

var myMatrix = new Cesium.Matrix4();
var column1Row0Index = Cesium.Matrix4.getElementIndex(1, 0);
var column1Row0 = myMatrix[column1Row0Index];
myMatrix[column1Row0Index] = 10.0;

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Example:

// returns a Matrix3 instance from a Matrix4 instance

// m = [10.0, 14.0, 18.0, 22.0]
//     [11.0, 15.0, 19.0, 23.0]
//     [12.0, 16.0, 20.0, 24.0]
//     [13.0, 17.0, 21.0, 25.0]

var b = new Cesium.Matrix3();
Cesium.Matrix4.getRotation(m,b);

// b = [10.0, 14.0, 18.0]
//     [11.0, 15.0, 19.0]
//     [12.0, 16.0, 20.0]

Returns:

Throws:

• DeveloperError : index must be 0, 1, 2, or 3.

Examples:

//returns a Cartesian4 instance with values from the specified column
// m = [10.0, 11.0, 12.0, 13.0]
//     [14.0, 15.0, 16.0, 17.0]
//     [18.0, 19.0, 20.0, 21.0]
//     [22.0, 23.0, 24.0, 25.0]

//Example 1: Returns an instance of Cartesian
var a = Cesium.Matrix4.getRow(m, 2, new Cesium.Cartesian4());

//Example 2: Sets values for a Cartesian instance
var a = new Cesium.Cartesian4();
Cesium.Matrix4.getRow(m, 2, a);

// a.x = 18.0; a.y = 19.0; a.z = 20.0; a.w = 21.0;

Returns:

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Throws:

• RuntimeError : matrix is not invertible because its determinate is zero.

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Example:

// Instead of Cesium.Matrix4.multiply(m, Cesium.Matrix4.fromRotationTranslation(rotation), m);
Cesium.Matrix4.multiplyByMatrix3(m, rotation, m);

Returns:

Example:

var p = new Cesium.Cartesian3(1.0, 2.0, 3.0);
var result = Cesium.Matrix4.multiplyByPoint(matrix, p, new Cesium.Cartesian3());

Returns:

Example:

var p = new Cesium.Cartesian3(1.0, 2.0, 3.0);
var result = Cesium.Matrix4.multiplyByPointAsVector(matrix, p, new Cesium.Cartesian3());
// A shortcut for
//   Cartesian3 p = ...
//   Cesium.Matrix4.multiplyByVector(matrix, new Cesium.Cartesian4(p.x, p.y, p.z, 0.0), result);

Returns:

Example:

//create a Matrix4 instance which is a scaled version of the supplied Matrix4
// m = [10.0, 11.0, 12.0, 13.0]
//     [14.0, 15.0, 16.0, 17.0]
//     [18.0, 19.0, 20.0, 21.0]
//     [22.0, 23.0, 24.0, 25.0]

var a = Cesium.Matrix4.multiplyByScalar(m, -2, new Cesium.Matrix4());

// m remains the same
// a = [-20.0, -22.0, -24.0, -26.0]
//     [-28.0, -30.0, -32.0, -34.0]
//     [-36.0, -38.0, -40.0, -42.0]
//     [-44.0, -46.0, -48.0, -50.0]

Returns:

Example:

// Instead of Cesium.Matrix4.multiply(m, Cesium.Matrix4.fromScale(scale), m);
Cesium.Matrix4.multiplyByScale(m, scale, m);

See:

• Matrix4.fromScale
• Matrix4.multiplyByUniformScale

Returns:

Example:

// Instead of Cesium.Matrix4.multiply(m, Cesium.Matrix4.fromTranslation(position), m);
Cesium.Matrix4.multiplyByTranslation(m, position, m);

Returns:

Example:

// Instead of Cesium.Matrix4.multiply(m, Cesium.Matrix4.fromUniformScale(scale), m);
Cesium.Matrix4.multiplyByUniformScale(m, scale, m);

See:

• Matrix4.fromUniformScale
• Matrix4.multiplyByScale

Returns:

Returns:

Example:

var m1 = new Cesium.Matrix4(1.0, 6.0, 7.0, 0.0, 2.0, 5.0, 8.0, 0.0, 3.0, 4.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0);
var m2 = Cesium.Transforms.eastNorthUpToFixedFrame(new Cesium.Cartesian3(1.0, 1.0, 1.0));
var m3 = Cesium.Matrix4.multiplyTransformation(m1, m2, new Cesium.Matrix4());

Returns:

Example:

//create a new Matrix4 instance which is a negation of a Matrix4
// m = [10.0, 11.0, 12.0, 13.0]
//     [14.0, 15.0, 16.0, 17.0]
//     [18.0, 19.0, 20.0, 21.0]
//     [22.0, 23.0, 24.0, 25.0]

var a = Cesium.Matrix4.negate(m, new Cesium.Matrix4());

// m remains the same
// a = [-10.0, -11.0, -12.0, -13.0]
//     [-14.0, -15.0, -16.0, -17.0]
//     [-18.0, -19.0, -20.0, -21.0]
//     [-22.0, -23.0, -24.0, -25.0]

Returns:

Returns:

Throws:

• DeveloperError : index must be 0, 1, 2, or 3.

Example:

//creates a new Matrix4 instance with new column values from the Cartesian4 instance
// m = [10.0, 11.0, 12.0, 13.0]
//     [14.0, 15.0, 16.0, 17.0]
//     [18.0, 19.0, 20.0, 21.0]
//     [22.0, 23.0, 24.0, 25.0]

var a = Cesium.Matrix4.setColumn(m, 2, new Cesium.Cartesian4(99.0, 98.0, 97.0, 96.0), new Cesium.Matrix4());

// m remains the same
// a = [10.0, 11.0, 99.0, 13.0]
//     [14.0, 15.0, 98.0, 17.0]
//     [18.0, 19.0, 97.0, 21.0]
//     [22.0, 23.0, 96.0, 25.0]

Returns:

Throws:

• DeveloperError : index must be 0, 1, 2, or 3.

Example:

//create a new Matrix4 instance with new row values from the Cartesian4 instance
// m = [10.0, 11.0, 12.0, 13.0]
//     [14.0, 15.0, 16.0, 17.0]
//     [18.0, 19.0, 20.0, 21.0]
//     [22.0, 23.0, 24.0, 25.0]

var a = Cesium.Matrix4.setRow(m, 2, new Cesium.Cartesian4(99.0, 98.0, 97.0, 96.0), new Cesium.Matrix4());

// m remains the same
// a = [10.0, 11.0, 12.0, 13.0]
//     [14.0, 15.0, 16.0, 17.0]
//     [99.0, 98.0, 97.0, 96.0]
//     [22.0, 23.0, 24.0, 25.0]

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Example:

//create an array from an instance of Matrix4
// m = [10.0, 14.0, 18.0, 22.0]
//     [11.0, 15.0, 19.0, 23.0]
//     [12.0, 16.0, 20.0, 24.0]
//     [13.0, 17.0, 21.0, 25.0]
var a = Cesium.Matrix4.toArray(m);

// m remains the same
//creates a = [10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, 20.0, 21.0, 22.0, 23.0, 24.0, 25.0]

Returns:

Example:

//returns transpose of a Matrix4
// m = [10.0, 11.0, 12.0, 13.0]
//     [14.0, 15.0, 16.0, 17.0]
//     [18.0, 19.0, 20.0, 21.0]
//     [22.0, 23.0, 24.0, 25.0]

var a = Cesium.Matrix4.transpose(m, new Cesium.Matrix4());

// m remains the same
// a = [10.0, 14.0, 18.0, 22.0]
//     [11.0, 15.0, 19.0, 23.0]
//     [12.0, 16.0, 20.0, 24.0]
//     [13.0, 17.0, 21.0, 25.0]

Returns: