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Additional resources for An Introduction to the Commodore 64: Adventures in Programming
At this point the active sprite takes a hop on the screen. The last command on this line, GOTO 1000, is easy to understand. It tells the computer to go back to the instruction on Line 1000 and start the cycle allover again. Line 1200 is the subroutine. It uses the RND function to select appropriate random values for X and Y. You could use a user-defined function here if you prefer. For longer formulas this can be a real time and space saver. Look at the description of the DEF FN command on page 118 of the User's Guide for the details.
0439. Many problems of probability are far harder than this, and it is sometimes difficult just to figure out how to approach them. One tool for estimating probabilities is simulation, that is, using mathematics and the computer to mimic the problematic situation. Simulation works because of the law of averages: even though individual trials of some chance phenomenon vary in outcome, the average of many trials varies only marginally from a single number, the probability. The greater the number of trials, the more accurate the probability estimate.
Finally, the sound will decay down to nothing; the time this takes is the release time. Drums, for example, have an explosive attack and a rapid decay with little sustain. Bowed violins, on the other hand, can have a slow, steady attack, sustain over a long period, and then fade away with a slow release. 54 You will notice that one number controls both the Attack and Decay, while another number controls the Sustain and Release. That's because they are additive. Attack/Decay Control Numbers Each voice has a POKE number for its Attack/Decay control setting: Voice 1, POKE 54277; Voice 2, POKE 54284; Voice 3, POKE 54291.