// this is a test case to check that complex
// probability expression are handled correctly

dtmc

// the param constant
const double p;

// other constants
const int x = 3;
const double y = 1/3;
const double z;

module M1
  s: [0..10] init 0;

  // ITE, depending on state value
  [] s<=4 -> (s<3 ? p : 0.5):(s'=s+1) + (s<3 ? 1-p : 1/2):(s'=s); 
  // ITE, depending on state value and constant
  [] s=5  -> (s>x ? p : 0.5):(s'=s+1) + (s>x ? 1-p : 1/2):(s'=s);
  // min (over constants and state values)
  [] s=6  -> (min(x,y,z,s)>0.1 ? p : 0.5):(s'=s+1) + (min(x,y,z,s)>0.1 ? 1-p : 1/2):(s'=s);
  // max (over constants and state values)
  [] s=7  -> (max(x,y,z,s)=7 ? p : 0.5):(s'=s+1) + (max(x,y,z,s)=7 ? 1-p : 1/2):(s'=s);
  // floor
  [] s=8  -> (floor(s+y)=8 ? p : 0.5):(s'=s+1) + (floor(s+y)=8 ? 1-p : 1/2):(s'=s);
  // floor
  [] s=9  -> (ceil(s+y)=10 ? p : 0.5):(s'=s+1) + (ceil(s+y)=10 ? 1-p : 1/2):(s'=s);
  [] s=10  -> true;
endmodule

rewards
  true : 1;
endrewards