Class Matrices4x4F
java.lang.Object
com.io7m.jtensors.core.unparameterized.matrices.Matrices4x4F
public final class Matrices4x4F
extends java.lang.Object
Functions over Matrix4x4F
values.
See "Mathematics for 3D Game Programming and Computer Graphics" 2nd Ed for the derivations of most of the code in this class (ISBN: 1-58450-277-0).
- Since:
- 8.0.0
-
Method Summary
Modifier and Type Method Description static Matrix4x4F
add(Matrix4x4F m0, Matrix4x4F m1)
Add the matricesm0
andm1
.static Vector4F
column0(Matrix4x4F m)
static Vector4F
column1(Matrix4x4F m)
static Vector4F
column2(Matrix4x4F m)
static Vector4F
column3(Matrix4x4F m)
static double
determinant(Matrix4x4F m)
Calculate the determinant of the matrixm
.static Matrix4x4F
identity()
The identity matrix.static java.util.Optional<Matrix4x4F>
invert(Matrix4x4F m)
Calculate the inverse of the matrixm
.static Matrix4x4F
multiply(Matrix4x4F m0, Matrix4x4F m1)
Multiply the matricesm0
andm1
.static Vector4F
multiplyVectorPost(Matrix4x4F m, Vector4F v)
Multiply the vectorv
by the matrixm
.static Matrix4x4F
ofAxisAngle(double axis_x, double axis_y, double axis_z, double angle)
Construct a matrix that will rotate byangle
radians around the axis(x, y, z)
.static Matrix4x4F
ofColumns(Vector4F c0, Vector4F c1, Vector4F c2, Vector4F c3)
Construct a matrix from the column vectors(c0, c1, c2, c3)
.static Matrix4x4F
ofRows(Vector4F r0, Vector4F r1, Vector4F r2, Vector4F r3)
Construct a matrix from the row vectors(r0, r1, r2, r3)
.static Matrix4x4F
ofScale(double x, double y, double z)
Construct a matrix that will scale by(x, y, z)
.static Matrix4x4F
ofTranslation(double x, double y, double z)
Construct a matrix that will translate by(x, y, z)
.static Vector4F
row0(Matrix4x4F m)
static Vector4F
row1(Matrix4x4F m)
static Vector4F
row2(Matrix4x4F m)
static Vector4F
row3(Matrix4x4F m)
static Matrix4x4F
scale(Matrix4x4F m, double r)
Scale the matrixm
byr
.static Matrix4x4F
subtract(Matrix4x4F m0, Matrix4x4F m1)
Subtract the matricesm0
andm1
.static double
trace(Matrix4x4F m)
Return the trace of the matrixm
.static Matrix4x4F
transpose(Matrix4x4F m)
Calculate the transpose of the matrixm
.static Matrix4x4F
withColumn(Matrix4x4F m, int column, float r0, float r1, float r2, float r3)
Set the columncolumn
ofm
to(r0, r1, r2, r3)
.static Matrix4x4F
withRow(Matrix4x4F m, int row, float c0, float c1, float c2, float c3)
Set the rowrow
ofm
to(c0, c1, c2, c3)
.static Matrix4x4F
zero()
The zero matrix.
-
Method Details
-
add
Add the matricesm0
andm1
.- Parameters:
m0
- The left matrixm1
- The right matrix- Returns:
m0 + m1
-
determinant
Calculate the determinant of the matrixm
.- Parameters:
m
- The matrix- Returns:
- The determinant of
m
-
invert
Calculate the inverse of the matrixm
.- Parameters:
m
- The matrix- Returns:
- The inverse of
m
, or nothing if no inverse exists
-
multiply
Multiply the matricesm0
andm1
.- Parameters:
m0
- The left matrixm1
- The right matrix- Returns:
m0 * m1
-
multiplyVectorPost
Multiply the vector
v
by the matrixm
.This is post multiplication.
- Parameters:
m
- The matrixv
- The vector- Returns:
m * v
-
ofColumns
Construct a matrix from the column vectors(c0, c1, c2, c3)
.- Parameters:
c0
- The column 0c1
- The column 1c2
- The column 2c3
- The column 3- Returns:
- A constructed matrix
-
ofRows
Construct a matrix from the row vectors(r0, r1, r2, r3)
.- Parameters:
r0
- The row 0r1
- The row 1r2
- The row 2r3
- The row 3- Returns:
- A constructed matrix
-
ofScale
Construct a matrix that will scale by(x, y, z)
.- Parameters:
x
- The X scaling valuey
- The Y scaling valuez
- The Z scaling value- Returns:
- A constructed matrix
-
ofTranslation
Construct a matrix that will translate by(x, y, z)
.- Parameters:
x
- The X scaling valuey
- The Y scaling valuez
- The Z scaling value- Returns:
- A constructed matrix
-
ofAxisAngle
Construct a matrix that will rotate byangle
radians around the axis(x, y, z)
.- Parameters:
angle
- The angle in radiansaxis_x
- The X axis valueaxis_y
- The Y axis valueaxis_z
- The Z axis value- Returns:
- A constructed matrix
-
row0
- Parameters:
m
- The matrix- Returns:
- Row 0 of the matrix
-
row1
- Parameters:
m
- The matrix- Returns:
- Row 1 of the matrix
-
row2
- Parameters:
m
- The matrix- Returns:
- Row 2 of the matrix
-
row3
- Parameters:
m
- The matrix- Returns:
- Row 3 of the matrix
-
column0
- Parameters:
m
- The matrix- Returns:
- Column 0 of the matrix
-
column1
- Parameters:
m
- The matrix- Returns:
- Column 1 of the matrix
-
column2
- Parameters:
m
- The matrix- Returns:
- Column 2 of the matrix
-
column3
- Parameters:
m
- The matrix- Returns:
- Column 3 of the matrix
-
scale
Scale the matrixm
byr
.- Parameters:
m
- The matrixr
- The scale factor- Returns:
m * r
-
subtract
Subtract the matricesm0
andm1
.- Parameters:
m0
- The left matrixm1
- The right matrix- Returns:
m0 - m1
-
trace
Return the trace of the matrixm
. The trace is defined as the sum of the diagonal elements of the matrix.- Parameters:
m
- The matrix- Returns:
- The trace of the matrix
-
transpose
Calculate the transpose of the matrixm
.- Parameters:
m
- The matrix- Returns:
- The transpose of
m
-
withColumn
public static Matrix4x4F withColumn(Matrix4x4F m, int column, float r0, float r1, float r2, float r3)Set the columncolumn
ofm
to(r0, r1, r2, r3)
.- Parameters:
m
- The matrixcolumn
- The column index in the range[0, 3]
* @param r0 The value of row 0 in the columnr1
- The value of row 1 in the columnr2
- The value of row 2 in the columnr3
- The value of row 3 in the column- Returns:
- A matrix with the given row
-
withRow
Set the rowrow
ofm
to(c0, c1, c2, c3)
.- Parameters:
m
- The matrixrow
- The row index in the range[0, 3]
c0
- The value of column 0 in the rowc1
- The value of column 1 in the rowc2
- The value of column 2 in the rowc3
- The value of column 3 in the row- Returns:
- A matrix with the given row
-
zero
The zero matrix.- Returns:
- A matrix with all zero components
-
identity
The identity matrix.- Returns:
- A matrix with all diagonal components set to 1 and all other components set to 0.
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