Matrix4 class
4D Matrix. Values are stored in column major order.
Constructors
- Matrix4(double arg0, double arg1, double arg2, double arg3, double arg4, double arg5, double arg6, double arg7, double arg8, double arg9, double arg10, double arg11, double arg12, double arg13, double arg14, double arg15)
-
Constructs a new mat4.
factory
- Matrix4.columns(Vector4 arg0, Vector4 arg1, Vector4 arg2, Vector4 arg3)
-
Constructs a new mat4 from columns.
factory
- Matrix4.compose(Vector3 translation, Quaternion rotation, Vector3 scale)
-
Constructs Matrix4 from
translation
,rotation
andscale
.factory - Matrix4.copy(Matrix4 other)
-
Copies values from
other
.factory - Matrix4.diagonal3(Vector3 scale)
-
Scale matrix.
factory
- Matrix4.diagonal3Values(double x, double y, double z)
-
Scale matrix.
factory
- Matrix4.fromBuffer(ByteBuffer buffer, int offset)
-
Constructs Matrix4 with a storage that views given
buffer
starting atoffset
.offset
has to be multiple of Float64List.bytesPerElement. - Matrix4.fromFloat64List(Float64List _m4storage)
- Constructs Matrix4 with given Float64List as storage.
-
Matrix4.fromList(List<
double> values) -
New matrix from
values
.factory - Matrix4.identity()
-
Identity matrix.
factory
- Matrix4.inverted(Matrix4 other)
-
Constructs a matrix that is the inverse of
other
.factory - Matrix4.outer(Vector4 u, Vector4 v)
-
Outer product of
u
andv
.factory - Matrix4.rotationX(double radians)
-
Rotation of
radians_
around X.factory - Matrix4.rotationY(double radians)
-
Rotation of
radians_
around Y.factory - Matrix4.rotationZ(double radians)
-
Rotation of
radians_
around Z.factory - Matrix4.skew(double alpha, double beta)
-
Skew matrix around X axis (alpha) and Y axis (beta).
factory
- Matrix4.skewX(double alpha)
-
Skew matrix around X axis
factory
- Matrix4.skewY(double beta)
-
Skew matrix around Y axis.
factory
- Matrix4.translation(Vector3 translation)
-
Translation matrix.
factory
- Matrix4.translationValues(double x, double y, double z)
-
Translation matrix.
factory
- Matrix4.zero()
- Zero matrix.
Properties
- dimension → int
-
Dimension of the matrix.
read-only
- forward → Vector3
-
read-only
- hashCode → int
-
The hash code for this object. [...]
read-only, override
- right → Vector3
-
read-only
- row0 ↔ Vector4
-
Returns row 0
read / write
- row1 ↔ Vector4
-
Returns row 1
read / write
- row2 ↔ Vector4
-
Returns row 2
read / write
- row3 ↔ Vector4
-
Returns row 3
read / write
- storage → Float64List
-
The components of the matrix.
read-only
- up → Vector3
-
read-only
- runtimeType → Type
-
A representation of the runtime type of the object.
read-only, inherited
Methods
-
absolute(
) → Matrix4 - Returns the component wise absolute value of this.
-
absoluteError(
Matrix4 correct) → double -
Returns absolute error between this and
correct
-
absoluteRotate(
Vector3 arg) → Vector3 -
Rotates
arg
by the absolute rotation of this Returnsarg
. Primarily used by AABB transformation code. -
add(
Matrix4 o) → void -
Adds
o
to this. -
applyToVector3Array(
List< double> array, [ int offset = 0 ]) → List< double> -
Multiply this to each set of xyz values in
array
starting atoffset
. -
clone(
) → Matrix4 - Clone matrix.
-
copyFromArray(
List< double> array, [ int offset = 0 ]) → void -
Copies elements from
array
into this starting atoffset
. -
copyInto(
Matrix4 arg) → Matrix4 -
Copy into
arg
. -
copyIntoArray(
List< num> array, [ int offset = 0 ]) → void -
Copies this into
array
starting atoffset
. -
copyInverse(
Matrix4 arg) → double -
Set this matrix to be the inverse of
arg
-
copyRotation(
Matrix3 rotation) → void -
Copies the rotation matrix from this homogeneous transformation matrix
into
rotation
. -
decompose(
Vector3 translation, Quaternion rotation, Vector3 scale) → void -
Decomposes this into
translation
,rotation
andscale
components. -
determinant(
) → double - Returns the determinant of this matrix.
-
dotColumn(
int j, Vector4 v) → double -
Returns the dot product of column
j
andv
. -
dotRow(
int i, Vector4 v) → double -
Returns the dot product of row
i
andv
. -
entry(
int row, int col) → double -
Value at
row
,col
. -
getColumn(
int column) → Vector4 -
Gets the
column
of the matrix -
getMaxScaleOnAxis(
) → double - Returns the max scale value of the 3 axes.
-
getNormalMatrix(
) → Matrix3 - Returns the normal matrix from this homogeneous transformation matrix. The normal matrix is the transpose of the inverse of the top-left 3x3 part of this 4x4 matrix.
-
getRotation(
) → Matrix3 - Returns the rotation matrix from this homogeneous transformation matrix.
-
getRow(
int row) → Vector4 -
Gets the
row
of the matrix -
getTranslation(
) → Vector3 - Returns the translation vector from this homogeneous transformation matrix.
-
index(
int row, int col) → int -
Return index in storage for
row
,col
value. -
infinityNorm(
) → double - Returns infinity norm of the matrix. Used for numerical analysis.
-
invert(
) → double - Invert this.
-
invertRotation(
) → double -
isIdentity(
) → bool - Is this the identity matrix?
-
isZero(
) → bool - Is this the zero matrix?
-
leftTranslate(
dynamic x, [ double y = 0.0, double z = 0.0 ]) → void - Multiply this by a translation from the left. The translation can be specified with a Vector3, Vector4, or x, y, z.
-
multiplied(
Matrix4 arg) → Matrix4 -
Multiply a copy of this with
arg
. -
multiply(
Matrix4 arg) → void -
Multiply this by
arg
. -
multiplyTranspose(
Matrix4 arg) → void -
Multiply this with a transposed
arg
. -
negate(
) → void - Negate this.
-
perspectiveTransform(
Vector3 arg) → Vector3 -
Transform
arg
of type Vector3 using the perspective transformation defined by this. -
relativeError(
Matrix4 correct) → double -
Returns relative error between this and
correct
-
rotate(
Vector3 axis, double angle) → void -
Rotate this
angle
radians aroundaxis
-
rotate3(
Vector3 arg) → Vector3 -
Rotate
arg
of type Vector3 using the rotation defined by this. -
rotated3(
Vector3 arg, [ Vector3 out ]) → Vector3 -
Rotate a copy of
arg
of type Vector3 using the rotation defined by this. If aout
parameter is supplied, the copy is stored inout
. -
rotateX(
double angle) → void -
Rotate this
angle
radians around X -
rotateY(
double angle) → void -
Rotate this matrix
angle
radians around Y -
rotateZ(
double angle) → void -
Rotate this matrix
angle
radians around Z -
scale(
dynamic x, [ double y, double z ]) → void - Scale this matrix by a Vector3, Vector4, or x,y,z
-
scaleAdjoint(
double scale) → void -
Converts into Adjugate matrix and scales by
scale
-
scaled(
dynamic x, [ double y, double z ]) → Matrix4 -
Create a copy of this scaled by a Vector3, Vector4 or
x
,y
, andz
. -
setColumn(
int column, Vector4 arg) → void -
Assigns the
column
of the matrixarg
-
setColumns(
Vector4 arg0, Vector4 arg1, Vector4 arg2, Vector4 arg3) → void - Sets the entire matrix to the column values.
-
setDiagonal(
Vector4 arg) → void -
Sets the diagonal of the matrix to be
arg
. -
setEntry(
int row, int col, double v) → void -
Set value at
row
,col
to bev
. -
setFrom(
Matrix4 arg) → void -
Sets the entire matrix to the matrix in
arg
. -
setFromTranslationRotation(
Vector3 arg0, Quaternion arg1) → void -
Sets the matrix from translation
arg0
and rotationarg1
. -
setFromTranslationRotationScale(
Vector3 translation, Quaternion rotation, Vector3 scale) → void -
Sets the matrix from
translation
,rotation
andscale
. -
setIdentity(
) → void - Makes this into the identity matrix.
-
setOuter(
Vector4 u, Vector4 v) → void -
setRotation(
Matrix3 r) → void - Sets the rotation matrix in this homogeneous transformation matrix.
-
setRotationX(
double radians) → void -
Sets the upper 3x3 to a rotation of
radians
around X -
setRotationY(
double radians) → void -
Sets the upper 3x3 to a rotation of
radians
around Y -
setRotationZ(
double radians) → void -
Sets the upper 3x3 to a rotation of
radians
around Z -
setRow(
int row, Vector4 arg) → void -
Assigns the
row
of the matrixarg
-
setTranslation(
Vector3 t) → void - Sets the translation vector in this homogeneous transformation matrix.
-
setTranslationRaw(
double x, double y, double z) → void - Sets the translation vector in this homogeneous transformation matrix.
-
setUpper2x2(
Matrix2 arg) → void -
Sets the upper 2x2 of the matrix to be
arg
. -
setValues(
double arg0, double arg1, double arg2, double arg3, double arg4, double arg5, double arg6, double arg7, double arg8, double arg9, double arg10, double arg11, double arg12, double arg13, double arg14, double arg15) → void - Sets the matrix with specified values.
-
setZero(
) → void - Zeros this.
-
splatDiagonal(
double arg) → void -
Sets the diagonal to
arg
. -
sub(
Matrix4 o) → void -
Subtracts
o
from this. -
toString(
) → String -
Returns a printable string
override
-
trace(
) → double - Returns the trace of the matrix. The trace of a matrix is the sum of the diagonal entries.
-
transform(
Vector4 arg) → Vector4 -
Transform
arg
of type Vector4 using the transformation defined by this. -
transform3(
Vector3 arg) → Vector3 -
Transform
arg
of type Vector3 using the transformation defined by this. -
transformed(
Vector4 arg, [ Vector4 out ]) → Vector4 -
Transform a copy of
arg
of type Vector4 using the transformation defined by this. If aout
parameter is supplied, the copy is stored inout
. -
transformed3(
Vector3 arg, [ Vector3 out ]) → Vector3 -
Transform a copy of
arg
of type Vector3 using the transformation defined by this. If aout
parameter is supplied, the copy is stored inout
. -
translate(
dynamic x, [ double y = 0.0, double z = 0.0 ]) → void - Translate this matrix by a Vector3, Vector4, or x,y,z
-
transpose(
) → void -
transposed(
) → Matrix4 - Returns the tranpose of this.
-
transposeMultiply(
Matrix4 arg) → void -
Multiply a transposed this with
arg
. -
transposeRotation(
) → void - Transposes just the upper 3x3 rotation matrix.
-
noSuchMethod(
Invocation invocation) → dynamic -
Invoked when a non-existent method or property is accessed. [...]
inherited
Operators
-
operator *(
dynamic arg) → dynamic -
Returns a new vector or matrix by multiplying this with
arg
. -
operator +(
Matrix4 arg) → Matrix4 -
Returns new matrix after component wise this +
arg
-
operator -(
Matrix4 arg) → Matrix4 -
Returns new matrix after component wise this -
arg
-
operator ==(
Object other) → bool -
Check if two matrices are the same.
override
-
operator [](
int i) → double -
Access the element of the matrix at the index
i
. -
operator []=(
int i, double v) → void -
Set the element of the matrix at the index
i
. -
operator unary-(
) → Matrix4 - Returns new matrix -this
Static Methods
-
solve(
Matrix4 A, Vector4 x, Vector4 b) → void -
Solve
A
*x
=b
. -
solve2(
Matrix4 A, Vector2 x, Vector2 b) → void -
Solve
A
*x
=b
. -
solve3(
Matrix4 A, Vector3 x, Vector3 b) → void -
Solve
A
*x
=b
. -
tryInvert(
Matrix4 other) → Matrix4 -
Returns a matrix that is the inverse of
other
ifother
is invertible, otherwisenull
.