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matrix4x4 QML Value Type

A matrix4x4 type is a 4-row and 4-column matrix. More...

Detailed Description

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).

A property of type matrix4x4 defaults to the identity matrix, whose diagonal entries m11, m22, m33 and m44 are all 1, with all other components 0.

The matrix4x4 type has the following idempotent functions which can be invoked in QML:

Function SignatureDescriptionExample
translate(vector3d vector)Multiplies this matrix4x4 by another that translates coordinates by the components of vector
 var m = Qt.matrix4x4();
 m.translate(Qt.vector3d(1,2,3));
 console.log(m.toString());
 // QMatrix4x4(1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 3, 0, 0, 0, 1)
rotate(real angle, vector3d axis)Multiples this matrix4x4 by another that rotates coordinates through angle degrees about axis
 var m = Qt.matrix4x4();
 m.rotate(180,Qt.vector3d(1,0,0));
 console.log(m.toString());
 // QMatrix4x4(1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1)
rotate(quaternion quaternion)Multiples this matrix4x4 by another that rotates coordinates according to a specified quaternion. The quaternion is assumed to have been normalized.
 var m = Qt.matrix4x4();
 m.rotate(Qt.quaternion(0.5,0.5,0.5,-0.5));
 console.log(m.toString());
 // QMatrix4x4(0, 1, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1)
scale(real factor)Multiplies this matrix4x4 by another that scales coordinates by the given factor
 var m = Qt.matrix4x4();
 m.scale(2);
 console.log(m.toString());
 // QMatrix4x4(2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1)
scale(real x, real y, real z)Multiplies this matrix4x4 by another that scales coordinates by the components x, y, and z
 var m = Qt.matrix4x4();
 m.scale(1,2,3);
 console.log(m.toString());
 // QMatrix4x4(1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 1)
scale(vector3d vector)Multiplies this matrix4x4 by another that scales coordinates by the components of vector
 var m = Qt.matrix4x4();
 m.scale(Qt.vector3d(1,2,3));
 console.log(m.toString());
 // QMatrix4x4(1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 1)
lookAt(vector3d eye, vector3d center, vector3d up)Multiplies this matrix4x4 by a viewing matrix derived from an eye point. The center vector3d indicates the center of the view that the eye is looking at. The up vector3d indicates which direction should be considered up with respect to the eye.
 var m = Qt.matrix4x4();
 m.lookAt(Qt.vector3d(1,2,3),Qt.vector3d(1,2,0),Qt.vector3d(0,1,0));
 console.log(m.toString());
 // QMatrix4x4(1, 0, 0, -1, 0, 1, 0, -2, 0, 0, 1, -3, 0, 0, 0, 1)
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)
rect mapRect(rect)Maps the provided rectangle into the coordinate system defined by this matrix. If rotation or shearing has been specified, this function returns the bounding rectangle. This function was introduced in Qt 6.5.
 var a = Qt.matrix4x4(2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1);
 var b = a.mapRect(Qt.rect(10, 20, 30, 40));
 console.log(b.toString());
 // Qt.rect(20, 40, 60, 80)
point map(point)Maps the provided point into the coordinate system defined by this matrix. This function was introduced in Qt 6.5.
 var a = Qt.matrix4x4(2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1);
 var b = a.map(10, 20);
 console.log(b.toString());
 // Qt.point(20, 40)
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 value type is provided by the QtQuick import.

See also QML Value Types.

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