'\"! tbl | mmdoc
'\"macro stdmacro
.ie n \{\
.   ds Cr \fB
.   ds Cb \fB
.\}
.el \{\
.   ds Cr \f7
.   ds Cb \f8
.\}
.TH SbMatrix(3IV)
.SH NAME
SbMatrix \(em 4x4 matrix class 
.SH INHERITS FROM
SbMatrix
.SH SYNOPSIS
.ps -1
\*(Cr#include <Inventor/SbLinear.h>
.sp
.in 1i
\f1Methods from class SbMatrix:
.in 0.5i
.sp
.ta 20m
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Cr
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbSbMatrix\*(Cr()
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Cr
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbSbMatrix\*(Cr(float a11, float a12, float a13, float a14, float a21, float a22, float a23, float a24, float a31, float a32, float a33, float a34, float a41, float a42, float a43, float a44)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Cr
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbSbMatrix\*(Cr(const SbMat &m)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbsetValue\*(Cr(const SbMat &m)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbgetValue\*(Cr(SbMat &m) const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crconst SbMat &
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbgetValue\*(Cr() const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbmakeIdentity\*(Cr()
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crstatic SbMatrix
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbidentity\*(Cr()
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbsetRotate\*(Cr(const SbRotation &q)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbsetScale\*(Cr(float s)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbsetScale\*(Cr(const SbVec3f &s)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbsetTranslate\*(Cr(const SbVec3f &t)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbsetTransform\*(Cr(const SbVec3f &t, const SbRotation &r, const SbVec3f &s)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbsetTransform\*(Cr(const SbVec3f &t, const SbRotation &r, const SbVec3f &s, const SbRotation &so)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbsetTransform\*(Cr(const SbVec3f &translation, const SbRotation &rotation, const SbVec3f &scaleFactor, const SbRotation &scaleOrientation, const SbVec3f &center)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbgetTransform\*(Cr(SbVec3f &t, SbRotation &r, SbVec3f &s, SbRotation &so) const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbgetTransform\*(Cr(SbVec3f &translation, SbRotation &rotation, SbVec3f &scaleFactor, SbRotation &scaleOrientation, const SbVec3f &center) const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crfloat
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbdet3\*(Cr(int r1, int r2, int r3, int c1, int c2, int c3) const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crfloat
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbdet3\*(Cr() const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crfloat
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbdet4\*(Cr() const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbBool
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbfactor\*(Cr(SbMatrix &r, SbVec3f &s, SbMatrix &u, SbVec3f &t, SbMatrix &proj) const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbinverse\*(Cr() const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbBool
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbLUDecomposition\*(Cr(int index[4], float &d)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbLUBackSubstitution\*(Cr(int index[4], float b[4]) const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbtranspose\*(Cr() const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix &
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbmultRight\*(Cr(const SbMatrix &m)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix &
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbmultLeft\*(Cr(const SbMatrix &m)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbmultMatrixVec\*(Cr(const SbVec3f &src, SbVec3f &dst) const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbmultVecMatrix\*(Cr(const SbVec3f &src, SbVec3f &dst) const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbmultDirMatrix\*(Cr(const SbVec3f &src, SbVec3f &dst) const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbmultLineMatrix\*(Cr(const SbLine &src, SbLine &dst) const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbprint\*(Cr(FILE *fp) const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crfloat *
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator float\|*\*(Cr()
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMat
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator SbMat\|&\*(Cr()
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crfloat *
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator [\|]\*(Cr(int i)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crconst float *
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator [\|]\*(Cr(int i) const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix &
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator =\*(Cr(const SbMat &m)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix &
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator =\*(Cr(const SbMatrix &m)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix &
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator =\*(Cr(const SbRotation &q)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix &
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator *=\*(Cr(const SbMatrix &m)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator *\*(Cr(const SbMatrix &m1, const SbMatrix &m2)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crint
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator ==\*(Cr(const SbMatrix &m1, const SbMatrix &m2)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crint
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator !=\*(Cr(const SbMatrix &m1, const SbMatrix &m2)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbBool
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbequals\*(Cr(const SbMatrix &m, float tolerance) const
.sp
.SH DESCRIPTION
4x4 matrix class/datatype used by many Inventor node and action classes. The matrices are stored in row-major order.  
.SH METHODS
.ta 20m
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Cr
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbSbMatrix\*(Cr()
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Cr
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbSbMatrix\*(Cr(float a11, float a12, float a13, float a14, float a21, float a22, float a23, float a24, float a31, float a32, float a33, float a34, float a41, float a42, float a43, float a44)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Cr
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbSbMatrix\*(Cr(const SbMat &m)
.br
.in 1i
\f1Constructors. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbsetValue\*(Cr(const SbMat &m)
.br
.in 1i
\f1Sets value from 4x4 array of elements. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbgetValue\*(Cr(SbMat &m) const
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crconst SbMat &
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbgetValue\*(Cr() const
.br
.in 1i
\f1Returns 4x4 array of elements. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbmakeIdentity\*(Cr()
.br
.in 1i
\f1Sets matrix to be identity. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crstatic SbMatrix
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbidentity\*(Cr()
.br
.in 1i
\f1Returns an identity matrix. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbsetRotate\*(Cr(const SbRotation &q)
.br
.in 1i
\f1Sets matrix to rotate by given rotation. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbsetScale\*(Cr(float s)
.br
.in 1i
\f1Sets matrix to scale by given uniform factor. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbsetScale\*(Cr(const SbVec3f &s)
.br
.in 1i
\f1Sets matrix to scale by given vector. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbsetTranslate\*(Cr(const SbVec3f &t)
.br
.in 1i
\f1Sets matrix to translate by given vector. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbsetTransform\*(Cr(const SbVec3f &t, const SbRotation &r, const SbVec3f &s)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbsetTransform\*(Cr(const SbVec3f &t, const SbRotation &r, const SbVec3f &s, const SbRotation &so)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbsetTransform\*(Cr(const SbVec3f &translation, const SbRotation &rotation, const SbVec3f &scaleFactor, const SbRotation &scaleOrientation, const SbVec3f &center)
.br
.in 1i
\f1Composes the matrix based on a translation, rotation, scale, orientation for scale, and center. The \*(Crcenter\f1 is the center point for scaling and rotation. The \*(CrscaleOrientation\f1 chooses the primary axes for the scale. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbgetTransform\*(Cr(SbVec3f &t, SbRotation &r, SbVec3f &s, SbRotation &so) const
.br
.in 1i
\f1Return translation, rotation, scale, and scale orientation components of the matrix. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbgetTransform\*(Cr(SbVec3f &translation, SbRotation &rotation, SbVec3f &scaleFactor, SbRotation &scaleOrientation, const SbVec3f &center) const
.br
.in 1i
\f1Decomposes the matrix into a translation, rotation, scale, and scale orientation. Any projection information is discarded. The decomposition depends upon choice of center point for rotation and scaling,
\&which is optional as the last parameter. Note that if the center is 0, decompose() is the same as factor() where \*(Crt\f1 is translation, \*(Cru\f1 is rotation, \*(Crs\f1 is scaleFactor, and \*(Crr\f1 is ScaleOrientation. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crfloat
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbdet3\*(Cr(int r1, int r2, int r3, int c1, int c2, int c3) const
.br
.in 1i
\f1Returns determinant of 3x3 submatrix composed of given row and column indices (0-3 for each). 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crfloat
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbdet3\*(Cr() const
.br
.in 1i
\f1Returns determinant of upper-left 3x3 submatrix. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crfloat
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbdet4\*(Cr() const
.br
.in 1i
\f1Returns determinant of entire matrix. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbBool
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbfactor\*(Cr(SbMatrix &r, SbVec3f &s, SbMatrix &u, SbVec3f &t, SbMatrix &proj) const
.br
.in 1i
\f1Factors a matrix m into 5 pieces: m = r s r^ u t, where r^ means transpose of r, and r and u are rotations, s is a scale, and t is a translation. Any projection information is returned in \*(Crproj\f1. NOTE: the projection
\&matrix is always set to identity. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbinverse\*(Cr() const
.br
.in 1i
\f1Returns inverse of matrix. Results are undefined for singular matrices. Uses LU decomposition. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbBool
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbLUDecomposition\*(Cr(int index[4], float &d)
.br
.in 1i
\f1Perform in-place LU decomposition of matrix. \*(Crindex\f1 is index of rows in matrix. \*(Crd\f1 is the parity of row swaps. Returns FALSE if singular. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbLUBackSubstitution\*(Cr(int index[4], float b[4]) const
.br
.in 1i
\f1Perform back-substitution on LU-decomposed matrix. Index is permutation of rows from original matrix. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbtranspose\*(Cr() const
.br
.in 1i
\f1Returns transpose of matrix. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix &
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbmultRight\*(Cr(const SbMatrix &m)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix &
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbmultLeft\*(Cr(const SbMatrix &m)
.br
.in 1i
\f1Multiplies matrix by given matrix on right or left. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbmultMatrixVec\*(Cr(const SbVec3f &src, SbVec3f &dst) const
.br
.in 1i
\f1Multiplies matrix by given column vector, giving vector result. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbmultVecMatrix\*(Cr(const SbVec3f &src, SbVec3f &dst) const
.br
.in 1i
\f1Multiplies given row vector by matrix, giving vector result. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbmultDirMatrix\*(Cr(const SbVec3f &src, SbVec3f &dst) const
.br
.in 1i
\f1Multiplies given row vector by matrix, giving vector result. \*(Crsrc\f1 is assumed to be a direction vector, so translation part of matrix is ignored. Note: if you wish to transform surface points and normals by
\&a matrix, call \*(CbmultVecMatrix()\f1  for the points and call \*(CbmultDirMatrix()\f1  on the inverse transpose of the matrix for the normals. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(CbmultLineMatrix\*(Cr(const SbLine &src, SbLine &dst) const
.br
.in 1i
\f1Multiplies the given line's origin by the matrix, and the line's direction by the rotation portion of the matrix. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crvoid
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbprint\*(Cr(FILE *fp) const
.br
.in 1i
\f1Prints a formatted version of the matrix to the given file pointer. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crfloat *
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator float\|*\*(Cr()
.br
.in 1i
\f1Cast: returns pointer to storage of first element. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMat
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator SbMat\|&\*(Cr()
.br
.in 1i
\f1Cast: returns reference to 4x4 array. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crfloat *
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator [\|]\*(Cr(int i)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crconst float *
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator [\|]\*(Cr(int i) const
.br
.in 1i
\f1Make it look like a usual matrix (so you can do m[3][2]). 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix &
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator =\*(Cr(const SbMat &m)
.br
.in 1i
\f1Sets value from 4x4 array of elements. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix &
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator =\*(Cr(const SbMatrix &m)
.br
.in 1i
\f1Set the matrix from another \*(CbSbMatrix\f1. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix &
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator =\*(Cr(const SbRotation &q)
.br
.in 1i
\f1Set the matrix from an \*(CbSbRotation\f1. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix &
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator *=\*(Cr(const SbMatrix &m)
.br
.in 1i
\f1Performs right multiplication with another matrix. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbMatrix
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator *\*(Cr(const SbMatrix &m1, const SbMatrix &m2)
.br
.in 1i
\f1Binary multiplication of matrices. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crint
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator ==\*(Cr(const SbMatrix &m1, const SbMatrix &m2)
.br
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(Crint
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cboperator !=\*(Cr(const SbMatrix &m1, const SbMatrix &m2)
.br
.in 1i
\f1Equality comparison operators. 
.sp
.in 0.5i
.in 1i+20n
.ti 0.5i
.ta 20m
.ds Pt \*(CrSbBool
.ie \w'\*(Pt'>=20n \{\
.ne 3
\*(Pt
.ti 0.5i
	\c\
\}
.el\{\
.ne 2
\*(Pt	\c\
\}
\*(Cbequals\*(Cr(const SbMatrix &m, float tolerance) const
.br
.in 1i
\f1Equality comparison within given tolerance, for each component. 
.sp
.in 0.5i
.SH SEE ALSO
\*(CbSbVec3f, SbRotation