08-20-2007
processing matrix column wise
I have a m X n matrix written out to file, say like this:
1,2,3,4,5,6
2,6,3,10,34,67
1,45,6,7,8,8
I want to calculate the column averages in the MINIMUM amount of code or processing possible. I would have liked to use my favorite tool, "AWK" but since it processes rowwise, getting the average of the first column values wud mean one call, getting the average of the second column values wud mean another call....so on till 'n' calls.
Is there a better way to this? You may also suggest a different way to represent the mXn matrix, as long I can conceptually map a mXn matrix to the suggested file format. Please help.
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LEARN ABOUT REDHAT
glmultmatrixd
GLMULTMATRIX(3G) GLMULTMATRIX(3G)
NAME
glMultMatrixd, glMultMatrixf - multiply the current matrix with the specified matrix
C SPECIFICATION
void glMultMatrixd( const GLdouble *m )
void glMultMatrixf( const GLfloat *m )
PARAMETERS
m Points to 16 consecutive values that are used as the elements of a 4x4 column-major matrix.
DESCRIPTION
glMultMatrix multiplies the current matrix with the one specified using m, and replaces the current matrix with the product.
The current matrix is determined by the current matrix mode (see glMatrixMode). It is either the projection matrix, modelview matrix, or
the texture matrix.
EXAMPLES
If the current matrix is C, and the coordinates to be transformed are, v=(v[0],v[1],v[2],v[3]). Then the current transformation is Cxv, or
c[0] c[4] c[8] c[12] v[0]
(c[1] c[5] c[9] c[13])x(v[1])
c[2] c[6] c[10] c[14] v[2]
c[3] c[7] c[11] c[15] v[3]
Calling glMultMatrix with an argument of m=m[0],m[1],...,m[15] replaces the current transformation with (CxM)xv, or
c[0] c[4] c[8] c[12] m[0] m[4] m[8] m[12] v[0]
(c[1] c[5] c[9] c[13])x(m[1] m[5] m[9] m[13])x(v[1])
c[2] c[6] c[10] c[14] m[2] m[6] m[10] m[14] v[2]
c[3] c[7] c[11] c[15] m[3] m[7] m[11] m[15] v[3]
Where 'x' denotes matrix multiplication, and v is represented as a 4x1 matrix.
NOTES
While the elements of the matrix may be specified with single or double precision, the GL may store or operate on these values in less than
single precision.
In many computer languages 4x4 arrays are represented in row-major order. The transformations just described represent these matrices in
column-major order. The order of the multiplication is important. For example, if the current transformation is a rotation, and
glMultMatrix is called with a translation matrix, the translation is done directly on the coordinates to be transformed, while the rotation
is done on the results of that translation.
ERRORS
GL_INVALID_OPERATION is generated if glMultMatrix is executed between the execution of glBegin and the corresponding execution of glEnd.
ASSOCIATED GETS
glGet with argument GL_MATRIX_MODE
glGet with argument GL_COLOR_MATRIX
glGet with argument GL_MODELVIEW_MATRIX
glGet with argument GL_PROJECTION_MATRIX
glGet with argument GL_TEXTURE_MATRIX
SEE ALSO
glLoadIdentity(3G), glLoadMatrix(3G), glMatrixMode(3G), glPushMatrix(3G)
GLMULTMATRIX(3G)