GPM plant Example

The plant graph is composed by

• nodes with coordinates & state in {0,1}
• ports with only state which is a real value

The initial graph is as follow:

initial graph

The plant evolution graph consists in using three rules:

• the first rule consists in multipliing by 2 the coordinates & setting its state to 1 of all nodes whose state is 0.The pattern graph is composed with one node whose state is 0 and the transform graph is empty. The mapping muste selected the node with the same state, so the groupNodeIds is set to "state". The rule is written as follow:

  #group node ids rules: make a partition of nodes depending on its state
  groupNodeIds=state
  #number of states rules 
  2
  #The coordinates of the node with id 0 of pattern graph is multiplied by 2
  P_0=2*P_0
  #the state value of the node with id 0 of pattern graph is set to 0
  state_P_0=0

• the secund rule consists in mutlipliing by 2 the state of a port. The pattern graph is a port and the transform graph is empty. The rule is written as follow:

  #variable updater rules number
  1
  #the state of the port at index 0 is multiplied by 2
  state_P_0=2*state_P_0

• the third rules consist in finding a pattern graph whose one node has its state equals to 1 & the another node state is equal to 0. The pattern is transformed by adding to node with state 0, 3 nodes with state equals to 1 are and 6 ports with state equals to 0.1. The cordinates of the new nodes depend on the pattern nodes coordinates. The rule is written as follow:

  #list of ids of vertices of pattern graph to remove
  0 
  #list of ids of edges of pattern graph to remove
  0
  #list of edges between Pattern graph & Transform graph to add
  3
  3,4
  3,6
  3,8
  #group node ids rules
  groupNodeIds=state
  #group port ids rules
  groupPortIds=
  #mapping rules for pattern vertex
  0
  #state update 
  5
  P_3=2*P_3
  T_0=rotation(P_3-P_0,-PI/3)+2*P_3
  T_1=rotation(P_3-P_0,PI/3)+2*P_3
  T_2=(P_3-P_0)+2*P_3
  state_P_3=0

  The pattern & tranform graphs are as follow:

  pattern graph	transform graph

To compute the 3 first rewriting graph, execute the command:

gpm_model.exe --verbose-mode=debug  --path=./data  --output=./output --prefix=plant  --init=plant-init.txt --iterationsNumber=3 --verbose=./output/plant.log --nRules=3  --rule_1=plant-rule01.txt --pattern_1=plant-pattern01.txt --transform_1=plant-transform01.txt --rule_2=plant-rule02.txt --pattern_2=plant-pattern02.txt --transform_2=plant-transform02.txt --rule_3=plant-rule03.txt --pattern_3=plant-pattern03.txt --transform_3=plant-transform03.txt make run

The results of the rewriting graps are as follow:

init graph	rewriting graph at iteration 1
rewriting graph at iteration 2	rewriting graph at iteration 3