A matrix4x4 type is a 4-row and 4-column matrix
A matrix4x4 type has sixteen values, each accessible via the properties m11 through m44 in QML (in row/column order). Values of this type can be composed with the Qt.matrix4x4()
function. Each attribute in a matrix4x4 is stored as a real (single-precision on ARM, double-precision on x86).
The matrix4x4 type has the following idempotent functions which can be invoked in QML:
| Function Signature | Description | Example |
|---|---|---|
| matrix4x4 times(matrix4x4 other) | Returns the matrix4x4 result of multiplying this matrix4x4 with the other matrix4x4 |
var a = Qt.matrix4x4(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16); var b = Qt.matrix4x4(4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19); var c = a.times(b); console.log(c.toString()); // QMatrix4x4(120, 130, 140, 150, 280, 306, 332, 358, 440, 482, //524, 566, 600, 658, 716, 774) |
| vector4d times(vector4d vector) | Returns the vector4d result of transforming the vector according to this matrix4x4 with the matrix applied pre-vector |
var a = Qt.matrix4x4(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16); var b = Qt.vector4d(5,6,7,8); var c = a.times(b); console.log(c.toString()); // QVector4D(70, 174, 278, 382) |
| vector3d times(vector3d vector) | Returns the vector3d result of transforming the vector according to this matrix4x4 with the matrix applied pre-vector |
var a = Qt.matrix4x4(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16); var b = Qt.vector3d(5,6,7); var c = a.times(b); console.log(c.toString()); // QVector3D(0.155556, 0.437037, 0.718518) |
| matrix4x4 times(real factor) | Returns the matrix4x4 result of multiplying this matrix4x4 with the scalar factor |
var a = Qt.matrix4x4(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16); var b = 4.48; var c = a.times(b); console.log(c.toString()); // QMatrix4x4(4.48, 8.96, 13.44, 17.92, 22.4, 26.88, 31.36, 35.84, // 40.32, 44.8, 49.28, 53.76, 58.24, 62.72, 67.2, 71.68) |
| matrix4x4 plus(matrix4x4 other) | Returns the matrix4x4 result of the addition of this matrix4x4 with the other matrix4x4 |
var a = Qt.matrix4x4(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16); var b = Qt.matrix4x4(5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20); var c = a.plus(b); console.log(c.toString()); // QMatrix4x4(6, 8, 10, 12, 14, 16, 18, 20, 22, // 24, 26, 28, 30, 32, 34, 36) |
| matrix4x4 minus(matrix4x4 other) | Returns the matrix4x4 result of the subtraction of other matrix4x4 from this matrix4x4 |
var a = Qt.matrix4x4(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16); var b = Qt.matrix4x4(5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20); var c = a.minus(b); console.log(c.toString()); // QMatrix4x4(-4, -4, -4, -4, -4, -4, -4, -4, -4, // -4, -4, -4, -4, -4, -4, -4) |
| vector4d row(int which) | Returns the vector4d row of this specified by which. Note: the which is 0-based access into the matrix. |
var a = Qt.matrix4x4(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16); var b = Qt.vector4d(a.m21, a.m22, a.m23, a.m24); var c = a.row(2); // zero based access! so not equal to b console.log(b.toString() + " " + c.toString()); // QVector4D(5, 6, 7, 8) QVector4D(9, 10, 11, 12) |
| vector4d column(int which) | Returns the vector4d column of this specified by which. Note: the which is 0-based access into the matrix. |
var a = Qt.matrix4x4(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16); var b = Qt.vector4d(a.m12, a.m22, a.m32, a.m42); var c = a.column(2); // zero based access! so not equal to b console.log(b.toString() + " " + c.toString()); // QVector4D(2, 6, 10, 14) QVector4D(3, 7, 11, 15) |
| real determinant() | Returns the determinant of this matrix4x4 |
var a = Qt.matrix4x4(1,0,0,0,0,2,0,0,0,0,3,0,100,200,300,1); var b = a.determinant(); console.log(b); // 6 |
| matrix4x4 inverted() | Returns the inverse of this matrix4x4 if it exists, else the identity matrix. |
var a = Qt.matrix4x4(1,0,0,0,0,2,0,0,0,0,3,0,100,200,300,1); var b = a.inverted(); console.log(b.toString()); // QMatrix4x4(1, 0, 0, 0, 0, 0.5, 0, 0, 0, 0, 0.333333, 0, -100, // -100, -100, 1) |
| matrix4x4 transposed() | Returns the transpose of this matrix4x4 |
var a = Qt.matrix4x4(1,0,0,0,0,2,0,0,0,0,3,0,100,200,300,1); var b = a.transposed(); console.log(b.toString()); // QMatrix4x4(1, 0, 0, 100, 0, 2, 0, 200, 0, 0, 3, 300, 0, 0, 0, 1) |
| bool fuzzyEquals(matrix4x4 other, real epsilon) | Returns true if this matrix4x4 is approximately equal to the other matrix4x4. The approximation will be true if each attribute of this is within epsilon of the
respective attribute of other. Note that epsilon is an optional argument, the default epsilon is 0.00001. |
var a = Qt.matrix4x4(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16); var b = Qt.matrix4x4(1.0001,2.0001,3.0002,4.0003,5.0001,6.0002, 7.0002,8.0004, 9.0001,10.0003, 11.0003,12.0004,13.0001, 14.0002,15.0003,16.0004); var c = a.fuzzyEquals(b); // default epsilon var d = a.fuzzyEquals(b, 0.005); // supplied epsilon console.log(c + " " + d); // false true |
This basic type is provided by the QtQuick import.
See also QML Basic Types.
