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79 lines
2.3 KiB
79 lines
2.3 KiB
// integer semantics version of abstract firewire protocol
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// with clock for deadline properties
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// gxn 23/05/2001
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mdp
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// deadline
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const int deadline;
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const int ky = deadline;
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// wire delay (based on max length of wire)
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const int delay;
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// probability of choosing fast
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const double fast;
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const double slow = 1-fast;
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// maximal constant
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const int kx = 167;
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module abstract_firewire
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// deadline clock
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y : [0..ky+1];
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// model clock
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x : [0..kx+1];
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// local state
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s : [0..10];
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// 0 -start_start
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// 1 -fast_start
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// 2 -start_fast
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// 3 -start_slow
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// 4 -slow_start
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// 5 -fast_fast
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// 6 -fast_slow
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// 7 -slow_fast
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// 8 -slow_slow
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// 9 -done
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// 10 - passed deadline
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// initial state
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[] (s=0) & (x<delay) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
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[] (s=0) & (y<=deadline) -> fast : (s'=1) + slow : (s'=4);
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[] (s=0) & (y<=deadline) -> fast : (s'=2) + slow : (s'=3);
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// fast_start
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[] (s=1) & (x<delay) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
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[] (s=1) & (y<=deadline) -> fast : (s'=5) & (x'=0) + slow : (s'=6) & (x'=0);
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// start_fast
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[] (s=2) & (x<delay) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
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[] (s=2) & (y<=deadline) -> fast : (s'=5) & (x'=0) + slow : (s'=7) & (x'=0);
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// start_slow
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[] (s=3) & (x<delay) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
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[] (s=3) & (y<=deadline) -> fast : (s'=6) & (x'=0) + slow : (s'=8) & (x'=0);
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// slow_start
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[] (s=4) & (x<delay) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
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[] (s=4) & (y<=deadline) -> fast : (s'=7) & (x'=0) + slow : (s'=8) & (x'=0);
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// fast_fast
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[] (s=5) & (x<85) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
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[] (s=5) & (x>=76) & (y<=deadline) -> (s'=0) & (x'=0);
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[] (s=5) & (x>=76-delay) & (y<=deadline) -> (s'=9) & (x'=0);
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// fast_slow
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[] (s=6) & (x<167) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
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[] (s=6) & (x>=159-delay) & (y<=deadline) -> (s'=9) & (x'=0);
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// slow_fast
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[] (s=7) & (x<167) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
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[] (s=7) & (x>=159-delay) & (y<=deadline) -> (s'=9) & (x'=0);
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// slow_slow
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[] (s=8) & (x<167) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
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[] (s=8) & (x>=159) & (y<=deadline) -> (s'=0) & (x'=0);
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[] (s=8) & (x>=159-delay) & (y<=deadline) -> (s'=9) & (x'=0);
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// move to deadline exceeded when y>=deadline
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[] (y>deadline) & (s<9) -> (s'=10) & (y'=0);
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// done
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[] (s=9) -> (s'=9);
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// deadline exceeded
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[] (s=10) -> (s'=10);
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endmodule
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