NAME¶

vpIdentity3, vpIdentity4, vpNormalize3, vpMatrixVectorMult4, vpMatrixMult4, vpCrossProduct, vpSolveSystem4, vpSetVector3, vpSetVector4 - linear algebra routines

SYNOPSIS¶

#include <volpack.h> void

vpMatrix3 m_dst;

void

vpMatrix4 m_dst;

vpResult

vpVector3 v_src1;

void

vpVector4 v_dst;

vpMatrix4 m_src1;

vpVector4 v_src1;

void

vpVector4 m_dst, m_src1, m_src2;

void

vpVector3 v_dst, v_src1, v_src2;

vpResult

vpMatrix4 m_src1;

vpVector4 b[];

int count;

void

vpVector3 v_dst;

double x, y, z;

void

vpVector4 v_dst;

double x, y, z, w;

ARGUMENTS¶

m_src1, m_src2, m_dst

Source and destination matrices.

v_src1, v_src2, v_dst

Source and destination vectors.

b

Array of right-hand-side vectors.

count

Number of right-hand-side vectors.

x, y, z, w

Vector components.

DESCRIPTION¶

These routines form a simple linear algebra package used internally by VolPack. The routines are also available as utility routines for use by the application. vpIdentity3 assigns the identity matrix to a 3-by-3 matrix. vpIdentity4 assigns the identity matrix to a 4-by-4 matrix. vpNormalize3 normalizes a 3-element vector (so the magnitude is 1.0). The result overwrites the source vector. vpMatrixVectorMult4 multiplies a 4-by-4 matrix by a 4-element column vector and stores the result in the destination vector (v_dst = m . v_src). vpMatrixMult4 multiplies two 4-by-4 matrices and stores the result in the destination matrix (m_dst = m_src1 . m_src2). vpCrossProduct computes the cross product of two 3-element vectors and stores the result in the destination vector (v_dst = v_src1 x v_src2). vpSolveSystem4 solves the linear system m . x = b for each right-hand-side vector in the b array. The solution vectors overwrite the vectors in the b array. The solution is computed using Gauss-Jordan elimination with partial pivoting and implicit scaling. vpSetVector3 initializes the components of a 3-element vector (v_dst = [x, y, z]). It is a macro. vpSetVector4 initializes the components of a 4-element vector (v_dst = [x, y, z, w]). It is a macro.

ERRORS¶

vpNormalize3 and vpSolveSystem4 normally return VP_OK. The following error return value is possible:

VPERROR_SINGULAR

The vector is a 0 vector (vpNormalize3 only), or the matrix is singular ( vpSolveSystem4 only).

SEE ALSO¶

VolPack(3)