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.\" RCSid "$Id$" |
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.TH RMTXOP 1 7/8/97 RADIANCE |
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.SH NAME |
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rmtxop - concatenate, add, transpose, scale, and convert matrices |
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rmtxop - concatenate, add, multiply, divide, transpose, scale, and convert matrices |
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.SH SYNOPSIS |
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.B rmtxop |
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[ |
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] |
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.B m1 |
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[ |
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.B + |
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.B ".+*/" |
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] |
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.B ".." |
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.SH DESCRIPTION |
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.I Rmtxop |
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loads and concatenates (multiplies) or adds together component matrix files |
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given on the command line. |
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loads and concatenates or adds/multiplies/divides |
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together component matrix files given on the command line. |
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Each file must have a header containing the following variables: |
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.sp |
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.nf |
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to the same input matrix. |
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.PP |
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If present, the second and subsequent matrices on the command |
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line are concatenated to the result unless separated by a plus ('+') symbol, |
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in which case the elements are added together. |
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line are concatenated to the result unless separated by a plus ('+'), |
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asterisk ('*'), or forward slash ('/') symbol, |
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in which case the matrix elements are added, multiplied, or divided together, |
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respectively. |
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(Note that the asterisk must be quoted or escaped in most shells.)\0 |
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In the case of addition, the two matrices involved must have the same number |
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of components. |
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For element-wise multiplication and division, the second matrix is |
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permitted instead to have a single component per element, which will be |
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applied equally to all components of the first matrix. |
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If element-wise division is specified, any zero elements in the second |
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matrix will result in a warning and the corresponding component(s) in the |
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first matrix will be set to zero. |
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.PP |
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The number of components in the new matrix after applying any |
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.I -c |
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transform must agree with the prior result. |
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in the prior result must equal the number of rows in the new matrix, and |
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the result will have the number of rows of the previous and the number |
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of columns of the new matrix. |
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In the case of addition, the number of rows and columns of the prior |
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result and the new matrix must match, and will not be changed by the |
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operation. |
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In the case of addition, multiplication, and division, |
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the number of rows and columns of the prior result and the |
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new matrix must match, and will not be changed by the operation. |
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.PP |
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Results are sent to the standard output. |
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By default, the values will be written in the lowest resolution format |
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for further processing: |
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.IP "" .2i |
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rmtxop -fa orig.mtx | rcollate -ho -oc 1 | rcalc [operations] |
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.SH NOTES |
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Matrix multiplication is associative but not commutative, so order |
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matters to the result. |
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.I Rmtxop |
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takes advantage of the associative property to evaluate the |
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implicit equation from right to left when this reduces the |
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number of basic operations. |
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If the rightmost matrix is a column vector for example, it is |
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much faster to concatenate from the right, and the result should |
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be the same. |
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This only applies to matrix multiplication. |
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Element-wise addition, multiplication, and division are still |
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evaluated from left to right. |
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.SH AUTHOR |
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Greg Ward |
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.SH "SEE ALSO" |
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cnt(1), getinfo(1), histo(1), neaten(1), rcalc(1), rcollate(1), |
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rcontrib(1), rfluxmtx(1), rlam(1), tabfunc(1), total(1), wrapBSDF(1) |
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rcontrib(1), rfluxmtx(1), rlam(1), |
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rsplit(1), tabfunc(1), total(1), wrapBSDF(1) |
