PATTERN
| Syntax: |
GRID\PATTERN x y z m
|
| Qualifiers: | \XYOUT |
| Defaults: | \-XYOUT |
Suppose the vectors x and y have length h, and suppose that for some
n1 and n2, x and y have the following pattern:
x[1] |
= x[2] |
= ... = x[n2], |
x[n2+1] |
= x[n2+2] |
= ... = x[n2+n2], |
...... | ||
x[(n1-1)*n2+1] |
= x[(n1-1)*n2+2] |
= ... = x[n1*n2] |
y[1] | = y[n2+1] |
= ... = y[(n1-1)*n2+1], |
y[2] |
= y[n2+2] |
= ... = y[(n1-1)*n2+2], |
...... | ||
y[n2] |
= y[n2+n2] |
= ... = y[n1*n2] |
where h = n1*n2. If the x and y vectors have this form,
the matrix is constructed, without interpolation, with n2 rows and n1
columns, i.e., m[i,j]=z[k] where k=j+(i-1)*n1 for i=1,2,...,n2 and for
j=1,2,...,n1.
XYOUT
| Syntax: |
GRID\PATTERN\XYOUT x y z m xout yout
|
If output vectors, xout and yout, are desired, you must use the
\XYOUT qualifier. The coordinates of output
matrix element m[i,j] will be
(xout[j],yout[i]), where xout contains the x-coordinates
of each column and yout contains the y-coordinates of each row. If the output
matrix has n1 columns and n2 rows, then the length of xout will be
n1 and the length of yout will be n2.
xout = [ x[1]; x[n2+1]; ...; x[(n1-1)*n2+1] ]
yout = [ y[1]; y[2]; ...; y[n2] ]
Example
| Suppose: | X = [ 1; 1; 1; 1; 2; 2; 2; 2; 3; 3; 3; 3 ] |
Y = [ 1; 2; 3; 4; 1; 2; 3; 4; 1; 2; 3; 4 ] |
|
Z = [ 1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12 ] |
After the command: GRID\PATTERN\XYOUT X Y Z M XOUT YOUT
| 1 5 9 |
M = | 2 6 10 |, XOUT = [ 1; 2; 3 ], YOUT = [ 1; 2; 3; 4 ]
| 3 7 11 |
| 4 8 12 |