Stores a 4x4 matrix of float
elements.
More...
Public Types | |
typedef float | ScalarType |
Public Member Functions | |
GfMatrix4f ()=default | |
Default constructor. Leaves the matrix component values undefined. More... | |
GfMatrix4f (float m00, float m01, float m02, float m03, float m10, float m11, float m12, float m13, float m20, float m21, float m22, float m23, float m30, float m31, float m32, float m33) | |
Constructor. More... | |
GfMatrix4f (const float m[4][4]) | |
Constructor. More... | |
GfMatrix4f (float s) | |
Constructor. More... | |
GfMatrix4f (const GfVec4f &v) | |
Constructor. More... | |
GF_API | GfMatrix4f (const std::vector< std::vector< double > > &v) |
Constructor. More... | |
GF_API | GfMatrix4f (const std::vector< std::vector< float > > &v) |
Constructor. More... | |
GF_API | GfMatrix4f (const std::vector< double > &r0, const std::vector< double > &r1, const std::vector< double > &r2, const std::vector< double > &r3) |
Constructor. More... | |
GF_API | GfMatrix4f (const std::vector< float > &r0, const std::vector< float > &r1, const std::vector< float > &r2, const std::vector< float > &r3) |
Constructor. More... | |
GF_API | GfMatrix4f (const GfRotation &rotate, const GfVec3f &translate) |
Constructor. More... | |
GF_API | GfMatrix4f (const GfMatrix3f &rotmx, const GfVec3f &translate) |
Constructor. More... | |
GF_API | GfMatrix4f (const class GfMatrix4d &m) |
This explicit constructor converts a "double" matrix to a "float" matrix. More... | |
void | SetRow (int i, const GfVec4f &v) |
Sets a row of the matrix from a Vec4. More... | |
void | SetColumn (int i, const GfVec4f &v) |
Sets a column of the matrix from a Vec4. More... | |
GfVec4f | GetRow (int i) const |
Gets a row of the matrix as a Vec4. More... | |
GfVec4f | GetColumn (int i) const |
Gets a column of the matrix as a Vec4. More... | |
GfMatrix4f & | Set (float m00, float m01, float m02, float m03, float m10, float m11, float m12, float m13, float m20, float m21, float m22, float m23, float m30, float m31, float m32, float m33) |
Sets the matrix from 16 independent float values, specified in row-major order. More... | |
GfMatrix4f & | Set (const float m[4][4]) |
Sets the matrix from a 4x4 array of float values, specified in row-major order. More... | |
GfMatrix4f & | SetIdentity () |
Sets the matrix to the identity matrix. More... | |
GfMatrix4f & | SetZero () |
Sets the matrix to zero. More... | |
GF_API GfMatrix4f & | SetDiagonal (float s) |
Sets the matrix to s times the identity matrix. More... | |
GF_API GfMatrix4f & | SetDiagonal (const GfVec4f &) |
Sets the matrix to have diagonal (v[0], v[1], v[2], v[3] ). More... | |
GF_API float * | Get (float m[4][4]) const |
Fills a 4x4 array of float values with the values in the matrix, specified in row-major order. More... | |
float * | data () |
Returns raw access to components of matrix as an array of float values. More... | |
const float * | data () const |
Returns const raw access to components of matrix as an array of float values. More... | |
float * | GetArray () |
Returns vector components as an array of float values. More... | |
const float * | GetArray () const |
Returns vector components as a const array of float values. More... | |
float * | operator[] (int i) |
Accesses an indexed row i of the matrix as an array of 4 float values so that standard indexing (such as m[0][1] ) works correctly. More... | |
const float * | operator[] (int i) const |
Accesses an indexed row i of the matrix as an array of 4 float values so that standard indexing (such as m[0][1] ) works correctly. More... | |
GF_API bool | operator== (const GfMatrix4d &m) const |
Tests for element-wise matrix equality. More... | |
GF_API bool | operator== (const GfMatrix4f &m) const |
Tests for element-wise matrix equality. More... | |
bool | operator!= (const GfMatrix4d &m) const |
Tests for element-wise matrix inequality. More... | |
bool | operator!= (const GfMatrix4f &m) const |
Tests for element-wise matrix inequality. More... | |
GF_API GfMatrix4f | GetTranspose () const |
Returns the transpose of the matrix. More... | |
GF_API GfMatrix4f | GetInverse (double *det=NULL, double eps=0) const |
Returns the inverse of the matrix, or FLT_MAX * SetIdentity() if the matrix is singular. More... | |
GF_API double | GetDeterminant () const |
Returns the determinant of the matrix. More... | |
void | SetRow3 (int i, const GfVec3f &v) |
Sets a row of the matrix from a Vec3. More... | |
GfVec3f | GetRow3 (int i) const |
Gets a row of the matrix as a Vec3. More... | |
double | GetDeterminant3 () const |
Returns the determinant of the upper 3x3 matrix. More... | |
bool | HasOrthogonalRows3 () const |
Returns true, if the row vectors of the upper 3x3 matrix form an orthogonal basis. More... | |
GF_API bool | Orthonormalize (bool issueWarning=true) |
Makes the matrix orthonormal in place. More... | |
GF_API GfMatrix4f | GetOrthonormalized (bool issueWarning=true) const |
Returns an orthonormalized copy of the matrix. More... | |
GF_API double | GetHandedness () const |
Returns the sign of the determinant of the upper 3x3 matrix, i.e. More... | |
bool | IsRightHanded () const |
Returns true if the vectors in the upper 3x3 matrix form a right-handed coordinate system. More... | |
bool | IsLeftHanded () const |
Returns true if the vectors in the upper 3x3 matrix form a left-handed coordinate system. More... | |
GF_API GfMatrix4f & | operator*= (const GfMatrix4f &m) |
Post-multiplies matrix m into this matrix. More... | |
GF_API GfMatrix4f & | operator*= (double) |
Multiplies the matrix by a float. More... | |
GF_API GfMatrix4f & | operator+= (const GfMatrix4f &m) |
Adds matrix m to this matrix. More... | |
GF_API GfMatrix4f & | operator-= (const GfMatrix4f &m) |
Subtracts matrix m from this matrix. More... | |
GF_API GfMatrix4f & | SetScale (float scaleFactor) |
Sets matrix to specify a uniform scaling by scaleFactor. More... | |
GF_API GfMatrix4f | RemoveScaleShear () const |
Returns the matrix with any scaling or shearing removed, leaving only the rotation and translation. More... | |
3D Transformation Utilities | |
GF_API GfMatrix4f & | SetRotate (const GfQuatf &rot) |
Sets the matrix to specify a rotation equivalent to rot, and clears the translation. More... | |
GF_API GfMatrix4f & | SetRotateOnly (const GfQuatf &rot) |
Sets the matrix to specify a rotation equivalent to rot, without clearing the translation. More... | |
GF_API GfMatrix4f & | SetRotate (const GfRotation &rot) |
Sets the matrix to specify a rotation equivalent to rot, and clears the translation. More... | |
GF_API GfMatrix4f & | SetRotateOnly (const GfRotation &rot) |
Sets the matrix to specify a rotation equivalent to rot, without clearing the translation. More... | |
GF_API GfMatrix4f & | SetRotate (const GfMatrix3f &mx) |
Sets the matrix to specify a rotation equivalent to mx, and clears the translation. More... | |
GF_API GfMatrix4f & | SetRotateOnly (const GfMatrix3f &mx) |
Sets the matrix to specify a rotation equivalent to mx, without clearing the translation. More... | |
GF_API GfMatrix4f & | SetScale (const GfVec3f &scaleFactors) |
Sets the matrix to specify a nonuniform scaling in x, y, and z by the factors in vector scaleFactors. More... | |
GF_API GfMatrix4f & | SetTranslate (const GfVec3f &trans) |
Sets matrix to specify a translation by the vector trans, and clears the rotation. More... | |
GF_API GfMatrix4f & | SetTranslateOnly (const GfVec3f &t) |
Sets matrix to specify a translation by the vector trans, without clearing the rotation. More... | |
GF_API GfMatrix4f & | SetTransform (const GfRotation &rotate, const GfVec3f &translate) |
Sets matrix to specify a rotation by rotate and a translation by translate. More... | |
GF_API GfMatrix4f & | SetTransform (const GfMatrix3f &rotmx, const GfVec3f &translate) |
Sets matrix to specify a rotation by rotmx and a translation by translate. More... | |
GF_API GfMatrix4f & | SetLookAt (const GfVec3f &eyePoint, const GfVec3f ¢erPoint, const GfVec3f &upDirection) |
Sets the matrix to specify a viewing matrix from parameters similar to those used by gluLookAt(3G) . More... | |
GF_API GfMatrix4f & | SetLookAt (const GfVec3f &eyePoint, const GfRotation &orientation) |
Sets the matrix to specify a viewing matrix from a world-space eyePoint and a world-space rotation that rigidly rotates the orientation from its canonical frame, which is defined to be looking along the -z axis with the +y axis as the up direction. More... | |
GF_API bool | Factor (GfMatrix4f *r, GfVec3f *s, GfMatrix4f *u, GfVec3f *t, GfMatrix4f *p, float eps=1e-5) const |
Factors the matrix into 5 components: More... | |
GfVec3f | ExtractTranslation () const |
Returns the translation part of the matrix, defined as the first three elements of the last row. More... | |
GF_API GfRotation | ExtractRotation () const |
Returns the rotation corresponding to this matrix. More... | |
GF_API GfQuatf | ExtractRotationQuat () const |
Return the rotation corresponding to this matrix as a quaternion. More... | |
GF_API GfVec3f | DecomposeRotation (const GfVec3f &axis0, const GfVec3f &axis1, const GfVec3f &axis2) const |
Decompose the rotation corresponding to this matrix about 3 orthogonal axes. More... | |
GF_API GfMatrix3f | ExtractRotationMatrix () const |
Returns the rotation corresponding to this matrix. More... | |
GfVec3d | Transform (const GfVec3d &vec) const |
Transforms the row vector vec by the matrix, returning the result. More... | |
GfVec3f | Transform (const GfVec3f &vec) const |
Transforms the row vector vec by the matrix, returning the result. More... | |
GfVec3d | TransformDir (const GfVec3d &vec) const |
Transforms row vector vec by the matrix, returning the result. More... | |
GfVec3f | TransformDir (const GfVec3f &vec) const |
Transforms row vector vec by the matrix, returning the result. More... | |
GfVec3d | TransformAffine (const GfVec3d &vec) const |
Transforms the row vector vec by the matrix, returning the result. More... | |
GfVec3f | TransformAffine (const GfVec3f &vec) const |
Transforms the row vector vec by the matrix, returning the result. More... | |
Static Public Attributes | |
static const size_t | numRows = 4 |
static const size_t | numColumns = 4 |
Friends | |
class | GfMatrix4d |
size_t | hash_value (GfMatrix4f const &m) |
Hash. More... | |
GfMatrix4f | operator* (const GfMatrix4f &m1, double d) |
Returns the product of a matrix and a float. More... | |
GfMatrix4f | operator* (double d, const GfMatrix4f &m) |
GF_API friend GfMatrix4f | operator- (const GfMatrix4f &m) |
Returns the unary negation of matrix m. More... | |
GfMatrix4f | operator+ (const GfMatrix4f &m1, const GfMatrix4f &m2) |
Adds matrix m2 to m1. More... | |
GfMatrix4f | operator- (const GfMatrix4f &m1, const GfMatrix4f &m2) |
Subtracts matrix m2 from m1. More... | |
GfMatrix4f | operator* (const GfMatrix4f &m1, const GfMatrix4f &m2) |
Multiplies matrix m1 by m2. More... | |
GfMatrix4f | operator/ (const GfMatrix4f &m1, const GfMatrix4f &m2) |
Divides matrix m1 by m2 (that is, m1 * inv(m2) ). More... | |
GfVec4f | operator* (const GfMatrix4f &m, const GfVec4f &vec) |
Returns the product of a matrix m and a column vector vec. More... | |
GfVec4f | operator* (const GfVec4f &vec, const GfMatrix4f &m) |
Returns the product of row vector vec and a matrix m. More... | |
Stores a 4x4 matrix of float
elements.
A basic type.
Matrices are defined to be in row-major order, so matrix[i][j]
indexes the element in the i th row and the j th column.
The following methods interpret a GfMatrix4f as a 3D transformation: SetRotate(), SetScale(), SetTranslate(), SetLookAt(), Factor(), ExtractTranslation(), ExtractRotation(), Transform(), TransformDir(). By convention, vectors are treated primarily as row vectors, implying the following:
Definition at line 88 of file matrix4f.h.
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default |
Default constructor. Leaves the matrix component values undefined.
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inline |
Constructor.
Initializes the matrix from 16 independent float
values, specified in row-major order. For example, parameter m10 specifies the value in row 1 and column 0.
Definition at line 102 of file matrix4f.h.
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inline |
Constructor.
Initializes the matrix from a 4x4 array of float
values, specified in row-major order.
Definition at line 114 of file matrix4f.h.
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inlineexplicit |
Constructor.
Explicitly initializes the matrix to s times the identity matrix.
Definition at line 120 of file matrix4f.h.
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inlineexplicit |
Constructor.
Explicitly initializes the matrix to diagonal form, with the i th element on the diagonal set to v[i]
.
Definition at line 126 of file matrix4f.h.
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explicit |
Constructor.
Initialize the matrix from a vector of vectors of double. The vector is expected to be 4x4. If it is too big, only the first 4 rows and/or columns will be used. If it is too small, uninitialized elements will be filled in with the corresponding elements from an identity matrix.
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explicit |
Constructor.
Initialize the matrix from a vector of vectors of float. The vector is expected to be 4x4. If it is too big, only the first 4 rows and/or columns will be used. If it is too small, uninitialized elements will be filled in with the corresponding elements from an identity matrix.
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explicit |
Constructor.
Initialize the matrix from 4 row vectors of double. Each vector is expected to length 4. If it is too big, only the first 4 items will be used. If it is too small, uninitialized elements will be filled in with the corresponding elements from an identity matrix.
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explicit |
Constructor.
Initialize the matrix from 4 row vectors of float. Each vector is expected to length 4. If it is too big, only the first 4 items will be used. If it is too small, uninitialized elements will be filled in with the corresponding elements from an identity matrix.
GF_API GfMatrix4f | ( | const GfRotation & | rotate, |
const GfVec3f & | translate | ||
) |
Constructor.
Initializes a transformation matrix to perform the indicated rotation and translation.
GF_API GfMatrix4f | ( | const GfMatrix3f & | rotmx, |
const GfVec3f & | translate | ||
) |
Constructor.
Initializes a transformation matrix to perform the indicated rotation and translation.
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explicit |
This explicit constructor converts a "double" matrix to a "float" matrix.
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inline |
Returns raw access to components of matrix as an array of float
values.
Components are in row-major order.
Definition at line 274 of file matrix4f.h.
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inline |
Returns const raw access to components of matrix as an array of float
values.
Components are in row-major order.
Definition at line 280 of file matrix4f.h.
GF_API GfVec3f DecomposeRotation | ( | const GfVec3f & | axis0, |
const GfVec3f & | axis1, | ||
const GfVec3f & | axis2 | ||
) | const |
Decompose the rotation corresponding to this matrix about 3 orthogonal axes.
If the axes are not orthogonal, warnings will be spewed.
This is a convenience method that is equivalent to calling ExtractRotation().Decompose().
GF_API GfRotation ExtractRotation | ( | ) | const |
Returns the rotation corresponding to this matrix.
This works well only if the matrix represents a rotation.
For good results, consider calling Orthonormalize() before calling this method.
GF_API GfMatrix3f ExtractRotationMatrix | ( | ) | const |
Returns the rotation corresponding to this matrix.
This works well only if the matrix represents a rotation.
For good results, consider calling Orthonormalize() before calling this method.
GF_API GfQuatf ExtractRotationQuat | ( | ) | const |
Return the rotation corresponding to this matrix as a quaternion.
This works well only if the matrix represents a rotation.
For good results, consider calling Orthonormalize() before calling this method.
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inline |
Returns the translation part of the matrix, defined as the first three elements of the last row.
Definition at line 607 of file matrix4f.h.
GF_API bool Factor | ( | GfMatrix4f * | r, |
GfVec3f * | s, | ||
GfMatrix4f * | u, | ||
GfVec3f * | t, | ||
GfMatrix4f * | p, | ||
float | eps = 1e-5 |
||
) | const |
Factors the matrix into 5 components:
M = r * s * -r * u * t
where Returns false
if the matrix is singular (as determined by eps). In that case, any zero scales in s are clamped to eps to allow computation of u.
GF_API float* Get | ( | float | m[4][4] | ) | const |
Fills a 4x4 array of float
values with the values in the matrix, specified in row-major order.
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Returns vector components as an array of float
values.
Definition at line 285 of file matrix4f.h.
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Returns vector components as a const array of float
values.
Definition at line 290 of file matrix4f.h.
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Gets a column of the matrix as a Vec4.
Definition at line 209 of file matrix4f.h.
GF_API double GetDeterminant | ( | ) | const |
Returns the determinant of the matrix.
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inline |
Returns the determinant of the upper 3x3 matrix.
This method is useful when the matrix describes a linear transformation such as a rotation or scale because the other values in the 4x4 matrix are not important.
Definition at line 368 of file matrix4f.h.
GF_API double GetHandedness | ( | ) | const |
Returns the sign of the determinant of the upper 3x3 matrix, i.e.
1 for a right-handed matrix, -1 for a left-handed matrix, and 0 for a singular matrix.
GF_API GfMatrix4f GetInverse | ( | double * | det = NULL , |
double | eps = 0 |
||
) | const |
Returns the inverse of the matrix, or FLT_MAX * SetIdentity() if the matrix is singular.
(FLT_MAX is the largest value a float
can have, as defined by the system.) The matrix is considered singular if the determinant is less than or equal to the optional parameter eps. If det is non-null, *det
is set to the determinant.
GF_API GfMatrix4f GetOrthonormalized | ( | bool | issueWarning = true | ) | const |
Returns an orthonormalized copy of the matrix.
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Gets a row of the matrix as a Vec4.
Definition at line 204 of file matrix4f.h.
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Gets a row of the matrix as a Vec3.
Definition at line 361 of file matrix4f.h.
GF_API GfMatrix4f GetTranspose | ( | ) | const |
Returns the transpose of the matrix.
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Returns true, if the row vectors of the upper 3x3 matrix form an orthogonal basis.
Note they do not have to be unit length for this test to return true.
Definition at line 375 of file matrix4f.h.
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Returns true if the vectors in the upper 3x3 matrix form a left-handed coordinate system.
Definition at line 413 of file matrix4f.h.
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Returns true if the vectors in the upper 3x3 matrix form a right-handed coordinate system.
Definition at line 407 of file matrix4f.h.
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Tests for element-wise matrix inequality.
All elements must match exactly for matrices to be considered equal.
Definition at line 326 of file matrix4f.h.
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Tests for element-wise matrix inequality.
All elements must match exactly for matrices to be considered equal.
Definition at line 332 of file matrix4f.h.
GF_API GfMatrix4f& operator*= | ( | const GfMatrix4f & | m | ) |
Post-multiplies matrix m into this matrix.
GF_API GfMatrix4f& operator*= | ( | double | ) |
Multiplies the matrix by a float.
GF_API GfMatrix4f& operator+= | ( | const GfMatrix4f & | m | ) |
Adds matrix m to this matrix.
GF_API GfMatrix4f& operator-= | ( | const GfMatrix4f & | m | ) |
Subtracts matrix m from this matrix.
GF_API bool operator== | ( | const GfMatrix4d & | m | ) | const |
Tests for element-wise matrix equality.
All elements must match exactly for matrices to be considered equal.
GF_API bool operator== | ( | const GfMatrix4f & | m | ) | const |
Tests for element-wise matrix equality.
All elements must match exactly for matrices to be considered equal.
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inline |
Accesses an indexed row i of the matrix as an array of 4 float
values so that standard indexing (such as m[0][1]
) works correctly.
Definition at line 297 of file matrix4f.h.
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inline |
Accesses an indexed row i of the matrix as an array of 4 float
values so that standard indexing (such as m[0][1]
) works correctly.
Definition at line 302 of file matrix4f.h.
GF_API bool Orthonormalize | ( | bool | issueWarning = true | ) |
Makes the matrix orthonormal in place.
This is an iterative method that is much more stable than the previous cross/cross method. If the iterative method does not converge, a warning is issued.
Returns true if the iteration converged, false otherwise. Leaves any translation part of the matrix unchanged. If issueWarning is true, this method will issue a warning if the iteration does not converge, otherwise it will be silent.
GF_API GfMatrix4f RemoveScaleShear | ( | ) | const |
Returns the matrix with any scaling or shearing removed, leaving only the rotation and translation.
If the matrix cannot be decomposed, returns the original matrix.
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inline |
Sets the matrix from 16 independent float
values, specified in row-major order.
For example, parameter m10 specifies the value in row 1 and column 0.
Definition at line 216 of file matrix4f.h.
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inline |
Sets the matrix from a 4x4 array of float
values, specified in row-major order.
Definition at line 229 of file matrix4f.h.
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Sets a column of the matrix from a Vec4.
Definition at line 196 of file matrix4f.h.
GF_API GfMatrix4f& SetDiagonal | ( | float | s | ) |
Sets the matrix to s times the identity matrix.
GF_API GfMatrix4f& SetDiagonal | ( | const GfVec4f & | ) |
Sets the matrix to have diagonal (v[0], v[1], v[2], v[3]
).
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inline |
Sets the matrix to the identity matrix.
Definition at line 250 of file matrix4f.h.
GF_API GfMatrix4f& SetLookAt | ( | const GfVec3f & | eyePoint, |
const GfVec3f & | centerPoint, | ||
const GfVec3f & | upDirection | ||
) |
Sets the matrix to specify a viewing matrix from parameters similar to those used by gluLookAt(3G)
.
eyePoint represents the eye point in world space. centerPoint represents the world-space center of attention. upDirection is a vector indicating which way is up.
GF_API GfMatrix4f& SetLookAt | ( | const GfVec3f & | eyePoint, |
const GfRotation & | orientation | ||
) |
Sets the matrix to specify a viewing matrix from a world-space eyePoint and a world-space rotation that rigidly rotates the orientation from its canonical frame, which is defined to be looking along the -z
axis with the +y
axis as the up direction.
GF_API GfMatrix4f& SetRotate | ( | const GfQuatf & | rot | ) |
Sets the matrix to specify a rotation equivalent to rot, and clears the translation.
GF_API GfMatrix4f& SetRotate | ( | const GfRotation & | rot | ) |
Sets the matrix to specify a rotation equivalent to rot, and clears the translation.
GF_API GfMatrix4f& SetRotate | ( | const GfMatrix3f & | mx | ) |
Sets the matrix to specify a rotation equivalent to mx, and clears the translation.
GF_API GfMatrix4f& SetRotateOnly | ( | const GfQuatf & | rot | ) |
Sets the matrix to specify a rotation equivalent to rot, without clearing the translation.
GF_API GfMatrix4f& SetRotateOnly | ( | const GfRotation & | rot | ) |
Sets the matrix to specify a rotation equivalent to rot, without clearing the translation.
GF_API GfMatrix4f& SetRotateOnly | ( | const GfMatrix3f & | mx | ) |
Sets the matrix to specify a rotation equivalent to mx, without clearing the translation.
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inline |
Sets a row of the matrix from a Vec4.
Definition at line 188 of file matrix4f.h.
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Sets a row of the matrix from a Vec3.
The fourth element of the row is ignored.
Definition at line 354 of file matrix4f.h.
GF_API GfMatrix4f& SetScale | ( | float | scaleFactor | ) |
Sets matrix to specify a uniform scaling by scaleFactor.
GF_API GfMatrix4f& SetScale | ( | const GfVec3f & | scaleFactors | ) |
Sets the matrix to specify a nonuniform scaling in x, y, and z by the factors in vector scaleFactors.
GF_API GfMatrix4f& SetTransform | ( | const GfRotation & | rotate, |
const GfVec3f & | translate | ||
) |
Sets matrix to specify a rotation by rotate and a translation by translate.
GF_API GfMatrix4f& SetTransform | ( | const GfMatrix3f & | rotmx, |
const GfVec3f & | translate | ||
) |
Sets matrix to specify a rotation by rotmx and a translation by translate.
GF_API GfMatrix4f& SetTranslate | ( | const GfVec3f & | trans | ) |
Sets matrix to specify a translation by the vector trans, and clears the rotation.
GF_API GfMatrix4f& SetTranslateOnly | ( | const GfVec3f & | t | ) |
Sets matrix to specify a translation by the vector trans, without clearing the rotation.
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inline |
Sets the matrix to zero.
Definition at line 255 of file matrix4f.h.
Transforms the row vector vec by the matrix, returning the result.
This treats the vector as a 4-component vector whose fourth component is 1.
Definition at line 648 of file matrix4f.h.
Transforms the row vector vec by the matrix, returning the result.
This treats the vector as a 4-component vector whose fourth component is 1. This is an overloaded method; it differs from the other version in that it returns a different value type.
Definition at line 660 of file matrix4f.h.
Transforms the row vector vec by the matrix, returning the result.
This treats the vector as a 4-component vector whose fourth component is 1 and ignores the fourth column of the matrix (i.e. assumes it is (0, 0, 0, 1)).
Definition at line 696 of file matrix4f.h.
Transforms the row vector vec by the matrix, returning the result.
This treats the vector as a 4-component vector whose fourth component is 1 and ignores the fourth column of the matrix (i.e. assumes it is (0, 0, 0, 1)).
Definition at line 707 of file matrix4f.h.
Transforms row vector vec by the matrix, returning the result.
This treats the vector as a direction vector, so the translation information in the matrix is ignored. That is, it treats the vector as a 4-component vector whose fourth component is 0.
Definition at line 672 of file matrix4f.h.
Transforms row vector vec by the matrix, returning the result.
This treats the vector as a direction vector, so the translation information in the matrix is ignored. That is, it treats the vector as a 4-component vector whose fourth component is 0. This is an overloaded method; it differs from the other version in that it returns a different value type.
Definition at line 685 of file matrix4f.h.
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friend |
Hash.
Definition at line 305 of file matrix4f.h.
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friend |
Returns the product of a matrix and a float.
Definition at line 426 of file matrix4f.h.
|
friend |
Multiplies matrix m1 by m2.
Definition at line 468 of file matrix4f.h.
|
friend |
Returns the product of a matrix m and a column vector vec.
Definition at line 482 of file matrix4f.h.
|
friend |
Returns the product of row vector vec and a matrix m.
Definition at line 490 of file matrix4f.h.
|
friend |
Adds matrix m2 to m1.
Definition at line 452 of file matrix4f.h.
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friend |
Returns the unary negation of matrix m.
|
friend |
Subtracts matrix m2 from m1.
Definition at line 460 of file matrix4f.h.
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friend |
Divides matrix m1 by m2 (that is, m1 * inv(m2)
).
Definition at line 476 of file matrix4f.h.