Advanced Graphics with the Commodore 128 - download pdf or read online
By M. M. Novak (auth.)
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Then we can assert that two matrices are equal if all the corresponding elements are also equal. That is, matrices K and L are equal if Kii = Lii where i andj are subscripts. The transpose of a matrix K is a matrix KT that is obtained by writing the rows of the original matrix K as the columns of the new matrix KT. That is, KT is the transpose of K if ~ii = Kii Suppose now that we wish to add two matrices, K and L. The sum of these two matrices, here denoted by M, is again a matrix whose elements are equal to the sum of the corresponding elements of matrices K and L.
14*F(L)/T: CS=COS(A): SN=SIN(A) DRAW 1, XC,YC TO R*CS+XC,R*SN+YC:NEXT On RUNning the program, you are first asked to enter some values. These are stored in array F(J). The sum of all the entries is denoted by T. Then, the circle appears, centred around (XC,YC), as specified in line 140. Next, the angular size of each slice is calculated (line 170) and the DRAw is used to mark the boundary of each segment. 38 Advanced Graphics with the Commodore 128 Graphs Another type of display- a graph- is used most frequently in the scientific environment.
Two-dimensional Transformations 53 Note that it is of the utmost importance to preserve the ordering of transformations. If this is not done, the final image may not be what you intended. For instance, translating an object first and then rotating it produces an image that is different from the one produced if the object is first rotated and then translated. 5. 5 Transformations and matrices As we have seen, transformations can be described by simple mathematical operations. However, this simplicity soon disappears if several transformations are concatenated and, the resultant relations become rather cumbersome.
Advanced Graphics with the Commodore 128 by M. M. Novak (auth.)